The sum of two numbers is 35. Their difference is 17. Find the numbers.

Each can is 4.5 inches tall, multiply that by 3 cans to get the total height of the cans:

4.5 * 3 = 13.5 inches ( total height of the three cans)

It snowed for 7 hours.

The first 3 hours it snowed 2 inches per hour:

2 inches  x 3 hours = 6 total inches.

7 hours - 3 hours = 4 hours left.

2 hours it snowed 1.5 inches per hour:

2 * 1.5 = 3 total inches.

4 hours - 2 hours = 2 hours left

2 hours x 1 inch per hour = 2 total inches.

Total snow fall = 6 + 3 + 2 = 11 inches.

11 inches is less than the height of the three cans.

2. 11 inches / 12 inches per foot = 0.9167 feet.

Volume of snow = 2 x 8 x 0.9167 14.67 cubic feet of snow needs to be removed.

To find the slope of a line, we need to use the formula for finding slope, m, which is:

m = change in y/change in x = y2-y1/x2-x1

This means that we must use the given ordered pairs and substitute these values into the formula above.  However, it is important to remember that x1 and y1 should be from the same pair and x2 and y2 should be from the other pair, otherwise you will get the wrong answer.

Let's let (x1, y1) be (7,3) and (-5,9) be (x2, y2).

Now, we must plug into the formula.

m = (9-3)/(-5-7) = 6/(-12) = -1/2

Therefore, the slope between these two points is -1/2.  

Hope this helps!

Answer:

1/-2

ABOUT PROBLEM:

Y2 - Y1

X2 - X1

9 - 3

-5 - 7

6

-12

SIMPLIFIED: 1/-2 because both 6 & -12 can be divided by 6.

Hope this helps you!!! :)

Answer: white = $13, double = $14

Step-by-step explanation:

Let white chocolate chip dough = x

Let double chocolate chip dough = y

Mary:      3x + 2y = 67

Darryl:   -(3x + 4y = 95)

                     -2y = -28

                  ÷-2    ÷-2  

                        y = 14

3x + 2y = 67

3x + 2(14) = 67

3x + 28 = 67

      -28  -28

3x         = 39  

÷3           ÷3  

 x         = 13

An equation to represent this would be 12x+2=T.

x=10 people per large table.

If T=122 then we just have to isolate x on one side of the equation. The first step is to replace T with 120 and then subtract 2 on both sides (to cancel the +2) to get 12x=120. Cancel the 12 by dividing both sides by 12 to get x=10. The number of people seated at each large table would be 10. Hopefully I explained this correctly and helped you understand.

Final answer:

To determine the number of guests seated at each large table, we use the equation T = 12x + 2, where T is the total number of guests and x is the number of guests at each large table. Solving for x given T = 122 guests, we find that

x = 10, meaning there are 10 guests at each large table.

Explanation:

The student asks for help with writing an equation to represent the total number of guests T and the number of people x at each large table, given that there are 12 large tables and one small table with 2 guests. The student also seeks to find out how many people are seated at each large table if there is a total of 122 guests.

The equation to represent the scenario is T = 12x + 2, where T is the total number of guests, and x is the number of guests at each large table. Since we know there are 122 guests in total:

Substitute T with 122 in the equation: 122 = 12x + 2.

Subtract 2 from both sides to isolate the terms with x: 120 = 12x.

Divide both sides by 12 to solve for x: x = 120 / 12.

Calculate the result: x = 10.

Therefore, there are 10 guests seated at each large table.

Answer:

expression for total cost is given by

[tex]0.80(3.95x+4.25y+5.99z)[/tex]

Step-by-step explanation:

Here we need to find the expression for the total cost

Let us find the cost for x pounds of peanut , y pounds of cashews and z pounds of almonds

cost of 1 pound of peanut = $3.95

cost of x pounds of peanut = $3.95x

cost of 1 pound of cashews = $4.25

cost of y pounds of cashews = $4.25y

cost of 1 pounds of almonds = $5.99

cost of z pounds of almonds = $5.99z

total cost = [tex]3.95x+4.25y+5.99z[/tex]

cost after 20% off = total cost - 20% of total cost

                                         = 80% of total cost  

cost after 20% off =80%[tex](3.95x+4.25y+5.99z)[/tex]

cost after 20% off =[tex]0.80(3.95x+4.25y+5.99z)[/tex]

now we can plug x= 2 , y= 3 and z=1

so we have

cost after 20% off =[tex]0.80(3.95(2)+4.25(3)+5.99(1))[/tex]  =$ 21.31          

The expression is ((2 x $3.95) + (3 x $4.25) + (1 x $5.99)) x (1 - 0.20) which equals to $21.31.

To find the total cost of 2 pounds of peanuts, 3 pounds of cashews, and 1 pound of almonds with a 20% discount, we need to first calculate the original total cost of the nuts without the discount.

We do this by multiplying each type of nut's price per pound by the number of pounds purchased and summing these amounts up.

The cost for the peanuts is 2 pounds x $3.95 per pound = $7.90.

For the cashews, it is 3 pounds x $4.25 per pound = $12.75.

For the almonds, it is 1 pound x $5.99 per pound = $5.99.

The sum of these costs will give us the total original cost.

The total original cost is therefore $7.90 (peanuts) + $12.75 (cashews) + $5.99 (almonds) = $26.64.

Next, we apply the 20% discount by multiplying the total original cost by 20% (or 0.20) to find the discount amount, and then subtract this discount amount from the total original cost to find the discounted total cost:

Discount amount = $26.64  imes 0.20 = $5.33. Discounted total cost = $26.64 - $5.33 = $21.31.

Therefore, the expression that can be used to find the total cost is: ((2 x $3.95) + (3 x $4.25) + (1 x $5.99)) x (1 - 0.20)

Answer:

Arithmetic and divergent sequence.

Step-by-step explanation:

We have been given a sequence:

[tex]a_n=4,\frac{10}{3},\frac{8}{3},2...[/tex]

Arithmetic sequence: It is the sequence in which the difference (known as common difference) between consecutive terms is same

Formula for difference: [tex]d=a_n-a_{n-1}[/tex]

Geometric sequence: It is the sequence in which the ratio (known as common ration) between consecutive terms is same.

Formula for ratio: [tex]\frac{a_n}{a_{n-1}}[/tex]

Here, we will first check the common difference

[tex]d=\frac{10}{3}-4=\frac{-2}{3}[/tex]

[tex]\frac{8}{3}-\frac{10}{3}=\frac{-2}{3}[/tex]

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

Hence, we are getting common difference therefore it is an arithmetic sequence.  

Arithmetic sequence always diverges

And given sequence being arithmetic will diverge.

Answer:

Arithmetic and divergent sequence.

Step-by-step explanation:

Answer:

66°

Step-by-step explanation:

the base angles of an isosceles triangle are equal

the sum of the 3 angles in a triangle = 180°

subtract the vertex angle from 180 and divide the result by 2

base angles = 180° - 48° = 132°

base angle = [tex]\frac{132}{2}[/tex] = 66°

Answer:

[tex]w<-2[/tex]

Step-by-step explanation:

Solving the inequality for [tex]w[/tex], we do algebra manipulation, we get:

[tex]5w-22>-4(2-3w)\\5w-22>-8+12w\\-22+8>12w-5w\\-14>7w\\\frac{-14}{7}>w\\-2>w[/tex]

Which means [tex]w[/tex] is LESS THAN [tex]-2[/tex]

Writing this with the variable to the left side:

[tex]w<-2[/tex]

This is the correct answer.

Answer:

w < -2

Step-by-step explanation:

5w - 22 > -4(2 - 3w)

5w - 22 > -8 + 12w

5w - 12w > -8 + 22

-7w > 14

w < -2

Answer:

B) 21

Step-by-step explanation:

There are 7 cars total and 5 slots to fill for the showroom selections. Put another way, there are 7-5 = 2 cars that don't make it to the showroom floor. Since this value (2) is smaller than the previous number of slots (5), it makes it easier to ask the question "how many ways are there to pick 2 cars that don't make it to the show room floor?" instead of "how many ways are there to pick 5 cars that make it to the showroom floor?". We'll get the same answer either way.

So we have 7 total to pick from for slot 1, and then 6 left over for slot 2. Making 7*6 = 42 permutations. Order does not matter, meaning that picking a red car and then a blue car is the same as picking a blue and then red. The count 42 has double counted, so we divide by 2 to sort this out

42/2 = 21 represents the number of combinations. We can see this if we use the nCr combination formula with n = 7 and r = 2

nCr = (n!)/(r!*(n-r)!)

7C2 = (7!)/(2!*(7-2)!)

7C2 = (7!)/(2!*5!)

7C2 = (7*6*5!)/(2*5!)

7C2 = (7*6)/2

7C2 = 42/2

7C2 = 21

a similar computation happens if you use n = 7 and r = 5.

Answer:

2√5 + 9√7

Step-by-step explanation:

The given expression is

2√20 - 3√7 - 2√5 + 4√63

√20 = √4√5 = 2√5

√63 = √9√7= 3 √7

Now replace the above value with the given expression

2*2√5 - 3√7 -2√5+4*3√7

= 4√5 - 3√7-2√5+12√7

= 4√5 -2√5 - 3√7 +12√7

Simplifying the like terms, we get

= 2√5 + 9√7

Thank you.

The expression 2 sqrt(20) - 3 sqrt(7) - 2 sqrt(5) + 4 sqrt(63) simplifies to 2 sqrt(5) + 9 sqrt(7) after breaking down and combining like radicals.

We start by simplifying each radical. Notice that sqrt(20) can be written as sqrt(4*5), which simplifies to 2sqrt(5). Similarly, sqrt(63) can be written as sqrt(9*7), which simplifies to 3sqrt(7). Therefore, our expression becomes:
2(2sqrt(5)) - 3sqrt(7) - 2sqrt(5) + 4(3sqrt(7)) = 4sqrt(5) - 2sqrt(5) - 3sqrt(7) + 12sqrt(7) = 2sqrt(5) + 9sqrt(7). This gives us the simplified form of the original expression.

Answer:

Alicia planted 44% more tulips this year

Step-by-step explanation:

First, we need to divide 65 by 45 to find the ratio of tulips between the years

Then, we take that number, which is 1.4444, and subtract one from it since percents usually aren't over 100%.

So we have 0.444

Multiply by 100 to turn it into a percent

gives you 44.444%

round down

44%

Answer:

44.44444%

Step-by-step explanation:

A percentage calculator explains it easily, so next time you can just search up how to do it. It has helped me a lot with these kinds of problems.

We know that 100%=45 as a percentage.

What we want to find is x%=20, or what percent of 45 is 20?

First, we have to divide 100 by x and 45 by 20.

100/x=45/20

Taking the reciprocal, or flipping both fractions, gives us the answer

x/100=20/45

x=44.44444

Hope this helps! (Brainliest please!)

Arpita's present age is found using the information about Shilpa's age three years ago and the fact that Arpita's age is three times Shilpa's age.

To find Arpita's present age, we need to solve the equation involving their ages. Let's assume Shilpa's age three years ago was x. According to the problem, Arpita's age is three times Shilpa's age, so Arpita's age three years ago was 3x. Now, let's find Arpita's present age.

Therefore, Arpita's present age is 3x + 3.

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Answer:

[tex]\frac{170}{100}m[/tex]

[tex]1.7m[/tex]

Step-by-step explanation:

Here,

Before the outbreak, the average wait time at the hospital was m minutes,

Also, after outbreak it is increased by 70 %,

So, the average wait time at the hospital after the outbreak = The average wait time before outbreak + 70 % of the average wait time before outbreak

= m + 70 % of m

[tex]=m+\frac{70m}{100}[/tex]

[tex]=\frac{100m+70m}{100}[/tex]

[tex]=\frac{170m}{100}[/tex]

[tex]=1.7m[/tex]

Hence, the expressions could represent the average time at the hospital after the outbreak would be,

[tex]\frac{170}{100}m[/tex]

[tex]1.7m[/tex]

Answer: 18%

There are 1879 people who are in the "graduate" row and "receiving aid" column. This is out of 10730 people total (bottom right corner)

The probability is 1879/10730 = 0.175 approximately which converts to 17.5% which rounds to 18%

The number of points scored by the Giants is 17 points

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the number of points scored by the Cowboys = C

Let the number of points scored by the Giants = G

The number of points scored by Cowboys C = 41 points

Now , the equation is

The Cowboys scored 10 less than three times the number of points that the Giants scored

So ,

C = 3G - 10

Substituting the values of C and G in the equation , we get

41 = 3G - 10

3G - 10 = 41

Adding 10 on both sides of the equation , we get

3G = 51

Divide by 3 on both sides of the equation , we get

G = 17

Therefore , the value of G is 17 points

Hence , The number of points scored by the Giants is 17 points

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Final answer:

The Giants scored 17 points in the last game.

Explanation:

To find the number of points the Giants scored, we need to set up an equation using the given information. Let's represent the number of points scored by the Giants as 'G'.

According to the problem, the Cowboys scored 10 less than three times the number of points the Giants scored, which can be written as: 3G - 10 = 41. To solve this equation, we can add 10 to both sides: 3G = 51.

Finally, divide both sides by 3 to find the value of G: G = 17.

Answer:

87 is the prime number

Step-by-step explanation:

the only factor of 87 is 1 and 87 which makes it prime

BRAINIEST PLZZZZZZ.

Answer:

f(1) = -3

f(8) =3

f^-1 (5) =2

f^-1 (2) =4

Step-by-step explanation:

f(1) = is the value when x=1  which is -3

f(8) = is the value when x=8 which is 3

f^-1(5) is x value when   y=5  so find y=5 in the table and read the x value  x=2

f^-1 (2) is the x value when y=2 so find y=2 in the table and read the x value  x=4

Answer:

Step-by-step explanation:

If the lines are parallel, then angles 1, 7, 3, and 5 are congruent because they are vertical/corresponding angles.

Therefore, they are all 113 degrees. For the rest of them, you just subtract from 180 to get 67. Therefore,

2 = 67 degrees

3 = 113 degrees

4 = 67 degrees

5 = 113 degrees

6 = 67 degrees

7 = 113 degrees

8 = 67 degrees

The coefficients and constants of the equations are proportional to each other because the graphs of the two equations overlap each other.

The correct option is C.

When Henry multiplied the first equation by -3 and added the two equations together, resulting in the equation 0 = 0, it indicated that the two original equations were dependent and represented the same line. This means that the system of equations has infinitely many solutions. Each point on the line represented by the equations satisfies both equations simultaneously.

When Henry graphed the equations on his graphing calculator and saw only one line, it further confirmed that the two equations are identical or overlapping. The lack of a visible second line indicates that the graphs coincide with each other, overlapping perfectly. This occurs because the coefficients and constants of the equations are proportional to each other, resulting in the same line when graphed.

Hence, option C is the correct choice, as the overlapping of the graphs confirms that the system of equations has infinitely many solutions.

To learn more about the system of equations;

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x > -3

The x-values are always the same while the y-values change, so x=-3 is a vertical line.

Draw a solid line, NOT dotted, for greater than or equal to.

All values of x greater or equal to -3 means everything to the right of your line. Shade that in.

To graph the inequality x is greater than or equal to -3, start by marking -3 on the number line with a filled dot because it includes 'equal to'. Then draw a line extending to the right from the -3 mark to represent values greater than -3.

To graph the inequality x is greater than or equal to -3, start by drawing a number line representing x values. Mark -3 on this line. Because the inequality includes 'equal to', plot a filled dot at -3 on your line, indicating that -3 is included in the solution.

Next, since the inequality states x is greater than -3, draw a line extending to the right from the -3 mark, representing all numbers greater than -3.

This graph shows all the x values that satisfy the inequality x is greater than or equal to -3. Any x value on this line or to the right of the -3 mark will make the inequality true.

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Answer:

$67.20

Step-by-step explanation:

We need to find out how much 1% costs so we can multiply that cost by 12 because it goes up 12%.

60/100=0.6

0.6*12=7.2

Now that we have the markup amount we add it to the actual price of $60 so

60+7.2=$60.20

Answer:

16%

Step-by-step explanation:

The mean is $15 and the standar deviation is $3.

mean = 15  and SD = 3

We need to find percentage less than 12 per hour

P(x<12)= P(x=12)

to find P(x=12) we find z-score

[tex]z= \frac{x-mean}{SD} =\frac{12-15}{3} =-1[/tex]

Now use z-score table . z-score = 0.1587

P(x=12)=0.1587

To get percentage we multiply by 100

0.1587 * 100 = 15.87 = 16%

Answer:

6.6 stone

Step-by-step explanation:

We will use conversions to change kilograms to stones

1 kilogram= 2.2 pounds,

1 stone= 14 pounds

42 kilogram          2.2 lbs           1 stone

---------------       * -------------   * ---------------

                           1 kg                 14 lbs

All the units cancel except stone

(42*2.2)/14  stone

6.6 stone

Answer:

42 kilograms is equal to 6.6 stones.

Step-by-step explanation:

Given :

1 kilogram = 2.2 pounds

1 stone = 14 pounds

42 kilograms into stones  =  ? stones

Solution:

42 kilograms = [tex]42\times 2.2 pounds=92.4 pounds[/tex]

And , 1 stone = 14 pounds

[tex]1 pound = \frac{1}{14} stones[/tex]

[tex]92.4 pounds=92.4\times \frac{1}{14} stones=6.6 stones[/tex]

So, 42 kilograms is equal to 6.6 stones.

Answer:

The answer is 84

hope this helps :)

Answer:

$84

Step-by-step explanation:

I did it on edg. 2020

Answer:

C. 2 1/8 ounces

Step-by-step explanation:

The kitten gained 2 1/8 ounces, and you can prove it through the following reasoning.

Kitten at birth was 3 3/8 ounces

Gained Weight (WG) was (unknown)

The kitten was 5 1/2 after being sold.

5 1/2 - 3 3/8 = GW (please note that 1/2 is also 4/8, therefore the equation can be represented by 5 4/8 - 3 3/8 = GW

2 1/8 = GW

Answer: The kitten gained 2 1/8 ounces

Step-by-step explanation:

We have to find the difference between the weights of kitten.

5 1/2 - 3 3/8 = weight gained

We solve the compound fraction like this.

5 1/2

2*5+1 = 11

This goes to 11/2

While

3 3/8

8*3+3 = 27

This goes to 27/8

So we subtract 11/2 - 27/8

44 - 27/8

17 / 8

This comes to 2 1/8 ounces.

Answer:

Your answer should be point (7,3)

Step-by-step explanation:

Answer:

7,3

Step-by-step explanation:

You just add the amount she spent and the amount she had left over to find out how much she had before she went into the game store. So 9.72+34.79 is $44.51. Hopefully this helped her out.

Answer:

Add the amount that is left over to them game money

Step-by-step explanation:

34.79 + 9.72 = 44.51 dollars

She had 44.51 before she went to the game store

Answer:

r=201

d = 77 1/2

Step-by-step explanation:

6) First multiply left and right by 16, to get rid of the fraction:

r - 25 = 11*16

Now add 25 left and right:

r = 11*16 + 25 = 201

7) Add 5 left and right

2/5 d = 31

multiply by 5/2

d = 31 * 5/2 = 77 1/2

Answer:

x=7

Step-by-step explanation:

The two triangles are similar .

We can use the ratio's of the side to figure out x

2                3.5

-------- = --------------

4               x

Using cross products

2x = 4*3.5

2x=14

Divide each side by 2.

2x/2 = 14/2

x=7

the length of x = 7.

To solve for x using the given ratios of the sides of the two similar triangles, we can follow these steps:

Set up the proportion using the given ratios:

[tex]\[ \frac{2}{4} = \frac{3.5}{x} \][/tex]

Cross multiply:

[tex]\[ 2x = 4 \times 3.5 \][/tex]

Perform the multiplication on the right side:

2x = 14

To solve for x, divide both sides of the equation by 2:

[tex]\[ \frac{2x}{2} = \frac{14}{2} \][/tex]

Simplify both sides:

[tex]\[ x = \frac{14}{2} \][/tex]

Calculate the value:

x = 7

So, x = 7.

Find the length of x.