I need help finding what x is​

I Need Help Finding What X Is

Answers

Answer 1

Answer:

Therefore the value of x is 4.

Step-by-step explanation:

Given:

AO = 5x - 8

BO = 3x

AM ≅ BM

To Find :

x = ?

Solution:

In  Δ AMO and Δ BMO

AM ≅ BM     ……….{Given}

∠ AMO ≅ ∠ BMO    …………..{measure of each angle is 90° given}

MO ≅ MO      ……….{Reflexive property}

ΔAMO  ≅ Δ BMO ….{ By Side-Angle-Side test}

∴ AO ≅ BO ...{corresponding sides of Congruent triangles or CPCT}

on substituting the values we get

[tex]5x-8=3x\\\\5x-3x=8\\\\2x=8\\\\x=\frac{8}{2}=4[/tex]

Therefore the value of x is 4.

I Need Help Finding What X Is

Related Questions

What is the simplified expression for the expression below?
-1(2x + 3) – 2(x - 1)
4x + 1
4x -2
ooo
4x+2
4x
-
1

Answers

Answer:

-4x - 1

Step-by-step explanation:

[tex]-1(2x+3)-2(x-1)\qquad\text{use the distributive property}\\\\=(-1)(2x)+(-1)(3)+(-2)(x)+(-2)(-1)\\\\=-2x-3-2x+2\qquad\text{combine like terms}\\\\=(-2x-2x)+(-3+2)\\\\=-4x-1[/tex]

Answer:

-4x-1

Step-by-step explanation:

-1(2x+3)-2(x-1)

-2x-3-2x+2

-2x-2x-3+2

-4x-3+2

-4x-1

Tim bought a book that was marked down to 50% of its original price. He used a coupon to save an additional 40% off of the sale price. If the book's original price was $12.00, what was the final price Tim paid?

Answers

Answer:

The answer would be $3.60

Step-by-step explanation:

50% of $12 is $6. Take 40% off of that and you get $3.60.

Answer:

The answer is 2.40

Step-by-step explanation: That is the answer because 50 percent into 12 is 6 and 40 percent into 6 is 2.4 = 2.40

Based on historical data, an insurance company estimates that a particular customer has a 2.4% likelihood of having an accident in the next year, with the average insurance payout being $2700.


If the company charges this customer an annual premium of $250, what is the company's expected value of this insurance policy?

Answers

Final answer:

The expected value of an insurance policy for the company is calculated by subtracting the expected costs (probability of accident * average payout) from the premium paid by the customer. In this case, the insurance company can expect to retain $185.20 from the annual premium after estimated payouts.

Explanation:

The subject of this question falls under the category of Mathematics, specifically in the field of probability and expected value. The expected value of an insurance policy is calculated as the product of the probability of an event (an accident in this case) and the corresponding payout, subtracted from the cost or premium of the policy. Here the insurance company estimates a 2.4% likelihood of an accident, which is a probability of 0.024, and the average payout being $2700.

First, determine the expected payout by the insurance company, which is computed by multiplying the probability of the event by the payout: 0.024 * $2700 = $64.80.

Then subtract this from the premium to calculate the company's expected value: $250 - $64.80 = $185.20.

This means, on average, the insurance company can expect to retain $185.20 from the annual premium after accounting for the estimated payouts from accidents.

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The expected value of this insurance policy for the company is approximately -$185.20.

Given information:

Likelihood of having an accident: 2.4% (expressed as a decimal, so (p = 0.024))

Average insurance payout: $2700

Annual premium charged: $250

The expected value ((E)) can be calculated as follows:

[tex][ E = (p \cdot \text{{Payout}}) - \text{{Premium}} ][/tex]

Substitute the given values: [ E = (0.024 x  2700) - 250 ]

Calculating: [ E = 64.8 - 250 = -185.2 ]

The expected value of this insurance policy for the company is approximately -$185.20.

Interpretation:

A negative expected value means that, on average, the insurance company is expected to lose money per policy sold.

In this case, the company charges a premium of $250 but expects to pay out an average of $2700 per accident. Therefore, the expected loss is $185.20 per policy.

Mae Ling earns a weekly salary of $315 plus a 5.5% commission on sales at a gift shop. How much would she make in a work week if she sold $4,700 worth of merchandise?

Answers

She would make $573.5 in a work if she sold $4,700 worth of merchandise

Step-by-step explanation:

The given is:

Mae Ling earns a weekly salary of $315 plus a 5.5% commission on sales at a gift shopShe sold by $4,700

We need to find how much she would make in a work week

∵ Mae Ling earns a weekly salary of $315

∵ She earns a 5.5% commission on sales

∵ She sold by $4,700 in that week

- Add $315 to the product of 5.5% and $4,700

∴ She made = 315 + (5.5% × 4,700)

∵ 5.5% = 5.5 ÷ 100 = 0.055

∴ She made = 315 + (0.055 × 4,700)

∴ She made = 315 + 258.5

∴ She made = 573.5

She would make $573.5 in a work if she sold $4,700 worth of merchandise

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Mel buys paper plates and paper cups for an event.
The plates are sold in packs. Each pack contains 60 plates.
The cups are sold in packs. Each pack contains 36 cups.
Mel buys exactly the same number of plates as cups.
What is the least number of each pack that Mel buys?

Answers

For this you need to find the lcm of 36 and 60 = 180
therefore :
Mel needs to buy 5 packets of cups


(36*5=180cups)
and 3 packets of plates (60*3=180 plates)

Answer:

3 packs of plates; 5 packs of cups

Step-by-step explanation:

First we have to find the least common multiple of the two. (factor tree, birthday cake) (Strategies not shown) You should get 180.

Next we have to see how many times each number goes into 180.

60 times 3 is 180 plates. 36 times 5 is 180.

That's your answer. Hope this helps!

Jeremy randomly selected a round tile and a square tile from the sets shown below. What is the probability that Jeremy

selected either two blue tiles or two white tiles?


a. 23/26

b. 4/9

c. 7/72

d. 1/40

Answers

Based on the number of square and round tiles, the probability of selecting two blue tiles and two white tiles is d. 1/40.

What is the probability of Jeremy's selection?

The probability of Jeremy's selection can be found as:

= (Probability of picking round white tile x Probability of picking square white tile) + (Probability of picking round blue tile x Probability of picking square blue tile)

Solving gives:

= (2 / 36 x 9 / 60) + (6 / 36 x 6 / 60)

= 0.025

= 1 / 40

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Select the correct answer.
How do you express a gain of 4 yards in a football game as a rational number?
OA. 4.5 yards
OB. +4 yards
OC. I yards
OD. - yards
E. - 4 yards

Answers

Answer:

B

Step-by-step explanation:

if you gain yards its plus 4 yards or how ever many yard to gain or lose.

Answer:

+4

Step-by-step explanation:

Because you GAIN 4

70 points!

Write the equation that represents the proportional relationship displayed in the table.

Answers

y = 4.5x

Explanation:

9 ÷ 2 = 4.5

18 ÷ 4 = 4.5

27 ÷ 6 = 4.5


Given the functions below, find (f.g) (-1)
f(x) = x² + 3
g(x) = 4x - 3​

Answers

Final answer:

To calculate the composite function (f ∙ g)(-1) for the functions f(x) = x² + 3 and g(x) = 4x - 3, we first find g(-1) which is -7, and then calculate f(-7) which results in 52.

Explanation:Composite Functions

To find the composite function (f ∙ g)(x), we first apply the function g to x, and then apply the function f to the result of g(x). In this case, first find g(-1) and then apply f to that result.

Initialize with g(-1), which is 4(-1) - 3. Simplifying that, we get -4 - 3, which equals -7.

Now, take the result of g(-1), which is -7, and input it into f(x) to get f(g(-1)). Thus, f(-7) = (-7)² + 3. Calculating this gives us 49 + 3, which equals 52. Therefore, (f ∙ g)(-1) = 52.

A case of twenty-four 7.8 ounce containers of Greek yogurt costs $12.99.
Calculate the unit price of the Greek yogurt (cost per ounce). Round to the
nearest cent.

Answers

Answer:

Cost per ounce = $0.07 (7 cents per ounce)

Step-by-step explanation:

Each container is 7.8 ounces and there are 24 of them in a case.

Total weight in ounce of the case is:

7.8 * 24 = 187.2 ounces

It costs $12.99 for the case, which contains 187.2 ounces. We find the cost per ounce of yogurt by dividing the total cost by total ounces in the case.

12.99/187.2 = 0.0693

Rounded to nearest cent (2 decimal places), that would be:

Cost per ounce = $0.07 (7 cents per ounce)

The unit price of the Greek yogurt is $0.07 per ounce.

To calculate the unit price, we need to divide the total cost of the case by the total number of ounces in the case.

First, we determine the total number of ounces in the case by multiplying the number of containers by the ounces per container:

[tex]\[ 24 \text{ containers} \times 7.8 \text{ ounces per container} = 187.2 \text{ ounces} \][/tex]

Next, we divide the total cost of the case by the total number of ounces to find the cost per ounce:

[tex]\[ \frac{\$12.99}{187.2 \text{ ounces}} \approx \$0.0693 \text{ per ounce} \][/tex]

Finally, we round this to the nearest cent, which gives us:

[tex]\[ \$0.0693 \text{ per ounce} \approx \$0.07 \text{ per ounce} \][/tex]

Therefore, the unit price of the Greek yogurt, rounded to the nearest cent, is $0.07 per ounce.

Four people share 2/3 pounds of peanuts equally.What fraction of a pound of peanuts does each person receive

Answers

Answer: 1/6 of a pound.

Step-by-step explanation: Divide 2/3 pounds by 4 people. To do this, multiply  2/3 by 4's reciprocal, which is 1/4. The reciprocal of a number is basically the reverse form of that number. 4 as a fraction is 4/1. The reciprocal of that would be 1/4. Hopefully you understand.

2/3 times 1/4 is 2/12. Simplify by dividing 2/12 by 2 and 12's greatest common factor: 2. 2 divided by 2 is 1; 12 divided by 2 is 6. Your final answer is 1/6.

A cube is a special right rectangular prism with congruent sides. If a block of cheese is shaped like a cube with a length of 5 inches, find the volume of the block of cheese.

Answers

Answer:

125 cubic inches

Step-by-step explanation:

The formula for the volume of a cube is:

[tex]V=a^3[/tex],

Where V is volume and a is edge length. Let's substitute the edge length of 5 from the problem into this formula.

[tex]V=5^3[/tex]

Now we can simplify. I will rewrite 5 cubed as 5*5*5 for simplicity.

[tex]V=5*5*5[/tex]

[tex]V=125[/tex]

So we have our volume, 125, but what does this mean? We have to figure out the units. Recall that our original unit was inches, thus the final answer is in inches. However, 125 inches does not make much sense, as we are dealing with volume, and not a line or distance. 125 cubic inches is the answer we are looking for, as cubic inches is the unit for volume deriving from inches.

The volume of a block of cheese is 125 in³.

What is a cube?

It is a polygon having six faces.

The volume of a cube is side³.

We have,

Side length = 5 in

Now,

The volume of a block of cheese.

= Side³

= 5³
= 125 in³.

Thus,

125 in³ is the volume of a block of cheese.

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Struggling un this section

Answers

Answer:

[tex]10[/tex]

Step-by-step explanation:

Combinations : When there are total [tex]n[/tex] choices and you have to choose [tex]k[/tex]of them (in any order)

                 The possible ways [tex]= \ ^n{c_{k}} = \frac{n!}{k!(n-k)!}[/tex]

Here total chances [tex]=5[/tex]

and we have to choose [tex]2[/tex]of them.

Possible ways[tex]=\ ^5{c_{2}}[/tex]

                             [tex]=&\frac{5!}{2!(5-2)!} = \frac{5!}{3! 2!} \\\\=&\frac{5 \times 4\times 3!}{3! 2!} = \frac{5 \times 4}{2} = 10[/tex]

Matt has started a car washing business to save money for college. Each week, he
washes 3 more cars than he did the week before.

Answers

Answer:

It’s incomplete

Step-by-step explanation:

Answer:

Part A:  An = 6 + 3( n - 1 )

Part B:  36

explanation:

We us the explicit rule 6 + 3( n - 1 ) to find out the he found in the 11th week

6 + 3( n - 1 )

6 + 3( 11 - 1 )

6 + 3( 10 )

6 + 30

36

Hope it helps!

Which graph show the solution set for -5/2x -3<2

Answers

The graph that shows the solution set for the inequality -5/2x -3<2 is a number line with an open circle at -2 and an arrow pointing to the left.

What is inequality?

Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.

To graph the solution set for the inequality -5/2x -3<2, you first need to solve the inequality for x.

-5x -6 < 4

-5x < 4 + 6

-5x < 10

x < -2

The graph of the solution set for the inequality x < -2 is a number line with an open circle at -2 and an arrow pointing to the left. The open circle indicates that -2 is not included in the solution set, and the arrow pointing to the left indicates that all values to the right of -2 are included in the solution set.

Hence, the correct answer would be an option (C).

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Chris wants to create a rectangular rose garden in a yard. He has 32 meters of garden fencing to go around the garden and he has to use it all.

Answers

Answer:

dimeonsion 1 should be 3x13 dimension 2 should be 6x10 dimension 2 is what chris should choose

Step-by-step explanation:

ik this is from prodigy lol

Chris should create a rectangular rose garden with dimensions 8 meters in length and 8 meters in width to use all 32 meters of garden fencing.

To begin, let's assume the rectangular garden has a length (L) and a width (W). Since the garden is enclosed by fencing on all sides, the perimeter of the garden would be equal to the total length of the fencing, which is 32 meters.

Perimeter = 2L + 2W

Since we know the perimeter is 32 meters, we can set up the equation:

32 = 2L + 2W

To maximize the area of the garden, Chris needs to find the dimensions that will yield the largest possible area for a given perimeter. The area (A) of a rectangle can be calculated using the formula:

Area = L * W

Since we know the perimeter is 32 meters:

2L + 2W = 32

Solving for L:

2L = 32 - 2W

L = 16 - W

Now, substitute this value of L into the area equation:

Area = L * W

Area = (16 - W) * W

Expand the equation:

Area = 16W - W²

Now, this equation represents the area of the rectangular rose garden in terms of its width (W). To find the value of W that maximizes the area, we can take the derivative of the area equation with respect to W and set it equal to zero:

d(Area)/dW = 16 - 2W = 0

Solving for W:

2W = 16

W = 8 meters

Now that we have the width (W), we can find the length (L) using the previously derived equation:

L = 16 - W

L = 16 - 8

L = 8 meters

Therefore, to create a rectangular rose garden with 32 meters of fencing that utilizes all the available fencing, Chris should make the length and width of the garden 8 meters each.

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PLZZZ HELP DOES ANYONE KNOW HOW TO DO THIS?!?!?
Find x and y

Answers

According to the figure, I can safely assume that the 10 cm line and 15 cm line are parallel.

Thus, there are two similar triangles, one with the 10 cm bottom and 15 cm bottom, where one triangle is larger by a factor of 15/10 = 3/2

We know that the 8 cm line segment and y both join to create the side of the large triangle.

8cm + y = the side of the large triangle

Multiplying 8cm by 3/2 gives us 12, since we know the large triangle is 3/2 times larger than the smaller one.

8 + y = 12

y = 4 cm

Finding x is going to be a bit different. We know that the 6 cm line and x form the side of the larger triangle, which we know is 3/2 times larger than x.

x + 6cm = ?

The side of the larger triangle is 3/2x, thus

x + 6 = 3/2 x

Subtract both sides by x

6 = 1/2 x

Multiply both sides by 2

12 cm = x

Thus, y = 4 and x = 12.

Let me know if you need any clarifications, thanks!

The country of Freedonia has decided to reduce its carbon dioxide emission by 35% each year. This year
the country emitted 40 million tons of carbon dioxide.
Write a function that gives Freedonia's carbon dioxide emissions in million tons, E(t), t years from today.

Answers

Answer:

The quantity after t years 40 [tex](0.65)^{\textrm t}[/tex] millions tons

Step-by-step explanation:

Given as :

The rate of decrease of carbon dioxide each other = 35%

The quantity of carbon dioxide emitted this year = 40 million tons

Let the quantity of carbon dioxide emitted after t year = A millions tons

Now, According to question

The quantity of carbon dioxide emitted after t year = The quantity of carbon dioxide emitted this year × [tex](1-\dfrac{\textrm rate}{100})^{\textrm time}[/tex]

Or, A millions tons = 40 millions tons × [tex](1-\dfrac{\textrm 35}{100})^{\textrm t}[/tex]

Or, A millions tons = 40 millions tons × [tex](\dfrac{100-35}{100})^{\textrm t}[/tex]

Or, A millions tons = 40 millions tons × [tex](\dfrac{65}{100})^{\textrm t}[/tex]

Or, A millions tons = 40 millions tons × [tex](0.65)^{\textrm t}[/tex]

So,The quantity after t years = A = 40  [tex](0.65)^{\textrm t}[/tex] millions tons

Hence The quantity after t years 40 [tex](0.65)^{\textrm t}[/tex] millions tons    Answer

please please what is 2*2

Answers

Answer:

4

Step-by-step explanation:

Answer:

2*2 is 4 id4

Step-by-step explanation:

Eric has two dogs. He feeds each dog 250 grams of dry food each, twice a day. If he buys a 10-kilogram bag of dry food, how many days will the bag last

Answers

Answer:

10

Step-by-step explanation:

okay so if he has 2 dogs and he feeds each dog 250 grams twice a day

if he buys a 10 kilo bag, how many days will it last?

so first off, convert the 250 grams into kilos. which is 0.25

0.25 × 4 = 1 kilo

4 is the amount of times he feeds the dogs.

so in reality, it should take 10 days.

The number of days will the bag last is 10 days.

Given that,

Eric has two dogs. He feeds each dog 250 grams of dry food each, twice a day.

Based on the above information, the calculation is as follows:

Here first we have to convert the 250 grams into kilos so it should be 0.25

And, there is no of times the dog feed is 4

So, it should be 1 kilo

And, there is the purchase of 10 kilos

Therefore, we can conclude that The number of days will the bag last is 10 days.

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On Saturday Henry spent 1 1/2 hours cutting the grass,1 3/4 hours pulling weeds and, 2 hours sweeping and bagging the weeds. In all, how much time did he spend on yard work?

Answers

Henry spent [tex]5\frac{1}{4}[/tex] hours on yard work.

Step-by-step explanation:

Given,

Time spent on cutting the grass = [tex]1\frac{1}{2}=\frac{3}{2}\ hours[/tex]

Time spent on pulling weeds = [tex]1\frac{3}{4}=\frac{7}{4}\ hours[/tex]

Time spent on sweeping and bagging = 2 hours

Total time spent = Time spent on cutting + Time spent on pulling + Time spent on sweeping

Total time spent = [tex]\frac{3}{2}+\frac{7}{4}+2[/tex]

Taking LCM

Total time spent = [tex]\frac{6+7+8}{4}=\frac{21}{4}[/tex]

Total time spent = [tex]5\frac{1}{4}[/tex] hours

Henry spent [tex]5\frac{1}{4}[/tex] hours on yard work.

Keywords: fraction, addition

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Answer:

Step-by-step explanation:

You plant a spruce tree that is

is 8 inches tall that grows 6 inches a year.

ches a year and a hemlock tree that

a.write a system of linear equations that represent this situation.

b. Solve the system using any method.

Answers

Answer:

Y = 8 + 6X is correct answer.

Step-by-step explanation:

Let y be the total lenght of tree and x is number of years that has past after tree plantation.

So the total lenght of tree after x years can be presented with the help of equation given below.

 Y = 8 + 6X

* This equation show that there is direct relationshop between number of years and total height of tree.

For example after 3 years the height of three will be

Y = 8 + 6(3) = 26 inches

Write (3+4 i)+(8+2 i)as a complex number in standard form

Answers

Answer:

11+6i

Step-by-step explanation:

(3+4i)+(8+2i)=11+6i

4. Simplify (2 – 3x)(3x2 - 2x -1).

A gx3 - X-2
B-9x² + 12x² - - 2
C 6x² + 4x + 3
D 6x3 - 13x2 + 4x + 3

Answers

Answer:

--9x^3+12x^2-x-2

Step-by-step explanation:

(2-3x)(3x^2-2x-1)

6x^2-4x-2-9x^3+6x^2+3x

-9x^3+6x^2+6x^2+3x-4x-2

-9x^3+12x^2-x-2

Solve for x:
2x-4y=12

Answers

Answer:

x = 2y + 6

Step-by-step explanation:

2x - 4y = 12

2x = 4y + 12

x = 2y + 6

To solve for 'X' in the equation 2x - 4y = 12, isolate 'X' by adding 4y to both sides, resulting in the equation 2x = 4y + 12. Further, divide the entire equation by 2 to get X = 2y + 6. The final value of 'X' would depend on the value of 'Y'.

To solve for X in the equation 2x - 4y = 12, we can proceed in the following manner:

Isolate X on one side of equation. In order to do this, we add 4y to both sides of the equation, thus changing the equation to 2x = 4y + 12.

Now, to solve for X, we need to divide the entire equation by 2. Therefore, the final equation is ready: X = 2y + 6.

Thereby, you have now solved for 'X' in the equation. Kindly note that as there is a 'y' variable involved as well, the final value of 'X' would depend on the value of 'Y'.

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What is the area of triangle ABC Round to the nearest

tenth of a square unit

Trigonometric area formula Area ==

54 9 square units

588 square units

618 square units

641 squf units

Answers

Answer:

[tex]A=61.8\ units^2[/tex]

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

The area of triangle ABC applying the law of sines is equal to

[tex]A=\frac{1}{2}(AC)(BC)sin(C)[/tex]

substitute the given values

[tex]A=\frac{1}{2}(10)(13)sin(72^o)[/tex]

[tex]A=61.8\ units^2[/tex]

Answer:

c) 61.8 square units

Step-by-step explanation:

just took the test

4 times the sum of a number and -3 is 4 more than twice the number. Write and solve an equation to find the number.

Answers

Answer:

The number is 8.

Step-by-step explanation:

4(x+(-3))-4=2x

4(x-3)-4=2x

4x-12-4=2x

4x-2x-16=0

2x-16=0

2x=0+16

2x=16

x=16/2

x=8

he sum of three consecutive numbers is 72. What is the largest of these numbers?

Answers

Answer: The three consecutive numbers are 23, 24 and 25, and 25 Is obviously the largest.

Step-by-step explanation:

Answer: 23 , 24 , 25

Step-by-step explanation:

Consecutive numbers are numbers that follow each other in order.

Let the first number be x , the second number be x + 1 and the third number number be x + 2.

From the first statement :

Their sum implies :

x + x +1 + x + 2 = 72

3x + 3 = 72

Subtract 3 from both sides of the equation:

3x + 3 - 3 = 72 - 3

3x = 69

Divide through by 3

3x/3 = 69/3

Therefore :

x = 23

Therefore :

The numbers are

23 , 24 and 25

Last year, Maria spent $2,388 for natural gas. This year, she decided to use balance billing. What will her monthly payment be this year?

Answers

Answer:

[tex]\$ 199[/tex]

Step-by-step explanation:

Given: Maria spent $2388 for natural gas, last year.

Maria chooses to use balance billing process to pay this year´s gas bill.

Balance billing is a billing practice, where provider bill you the difference between total cost and allowed amount. It can be paid partially or monthly. It generally in practice for medical billing as healthcare bill are generated for difference between total cost and amount which is paid through insurance.

Now, lets find out monthly bill paid by Maria.

We know there are 12 months in a year.

∴ Monthly payment= [tex]\frac{\$ 2388}{12} = \$ 199[/tex]

Maria will pay $199 monthly as her gas bill this year.

Maria's monthly payment for natural gas this year using balance billing will be $199.

Step 1

Balance billing is a method where a utility company estimates the annual energy usage and divides it into equal monthly payments. To find Maria's monthly payment for natural gas this year, we divide the total amount she spent last year by 12 months.

Total amount spent last year = $2,388

Step 2

Monthly payment this year = Total amount spent last year / 12 months

[tex]\[ \text{Monthly payment} = \frac{2388}{12} = 199 \][/tex]

Maria's monthly payment for natural gas this year, using balance billing, will be $199, calculated by dividing the total amount she spent last year by 12 months.

Combine the like terms to create an equivalent expression. 4r+14-r-6

Answers

Work:
4r+14-r-6
^ ^
3r+14-6
^
8

Answer:
3r+8
pretty sure it would be 3r+8 if you’re just combining like terms
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Please help me! Im desperate Suppose you throw a rock off a cliff on Earth with an initial horizontal velocity of 3 m/s. Assuming minimal drag and no wind, the horizontal velocity of the rock A.increases as it falls. B.decreases as it falls. C.is 0 m/s just before it lands. D.remains constant throughout the fall. Gerald's had opening total stockholders' equity of $160,000. During the year, total assets increased by $240,000 and total liabilities increased by $120,000. Their net income was $180,000. No additional investments were made. However, some amount was paid as dividend during the year. What was the amount of the dividend paid? On a three or five lane roadway, when you have a broken yellow line on your side of the road, _________.?A. you are in a no-passing zone B. travel in this lane is only legal with single passenger vehicles C. give the right-of-way to oncoming trafficD. you are in an HOV lane A nursing home recently has had a significant number of nosocomial infections. 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Vincent is interested in increasing his earning potential upon completing his internship at a major accounting firm. Which option can immediately boost his career in the intended direction?A. continue on in an entry-level positionB. complete a certification from a professional organizationC. complete a new four-year undergraduate program in a related fieldD. complete a two-year associate degree in a related fieldE. complete an online course in accounting What type of claim is it, argumentative or informative? Explain your answer.1.Withn the past year drones Evecaused chaos in America making manypoliticians believe that they should bebanned because they are dangerousfor pilots in the an and can injurecivilians on the ground.2. Middle school is a tricky transition from elementary school because students have to change classes and they have to learn how to properly use a locker.3. 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In Tuckman's model of group formation, what stage is this group now in? a. adjournment b. performing c. norming d. storming if the unemployment rate is equal to the natural rate of unemployment, then the economy's What best describes the relationship between geography and economics in the thirteen British colonies?A. some colonies could not proper because their geography limited their economic options.B. the geography of the colonies had little influence on the economies that developed.C. the diverse geography of the colonies encouraged different economic pursuits.D. all of the colonies benefited from good soil and a long growing season. If wealth increases, the demand for stocks ________ and that of long-term bonds ________, everything else held constant. Which of the following is punctuated correctly?1) I need to know whether you are able to perform the following functions of the job, revising existing marketing materials, promoting the company at trade shows, and reaching potential customers through direct mail campaigns.2) I need to know whether you are able to perform the following functions of the job; revising existing marketing materials, promoting the company at trade shows, and reaching potential customers through direct mail campaigns.3) I need to know whether you are able to perform the following functions of the job: revising existing marketing materials, promoting the company at trade shows, and reaching potential customers through direct mail campaigns. Steam Workshop Downloader