PLEASE HELP , TRYING TO BE ON HONOR ROLL !

What is the solution to this system of equations?

3x + 6y = 1
x - 4y = 1

A. ( 0, -1/4)
B. (2/9 , 1/18)
C. (1/2 , -1/8)
D. (5/9, -1/9)

Answers

Answer 1

Option A

The solution is [tex](0, \frac{-1}{4})[/tex]

Solution:

Given system of equations are:

3x + 6y = 1 ------ eqn 1

x - 4y = 1 ------ eqn 2

We have to find solution to system of equations

We can use substitution method

From eqn 2,

x = 1 + 4y -------- eqn 3

Substitute eqn 3 in eqn 1

3(1 + 4y) + 6y = 1

3 + 12y + 6y = 1

18y = 1 - 3

18y = -2

Divide both sides by 18

[tex]y = \frac{-2}{18}\\\\y = \frac{-1}{4}[/tex]

Substitute the above value of y in eqn 3

[tex]x = 1 + 4 \times \frac{-1}{4}\\\\x = 1-1\\\\x = 0[/tex]

Thus solution is [tex](0, \frac{-1}{4})[/tex]


Related Questions

Sally baked 60 cookies for a bake sale. If 12 of her cookies sold in the first hour. What percent of her cookies sold

Answers

The answer to your question is 20%

15 POINTSSS!!!!
LOOK IN ATACHED IMAGE

Answers

Answer:

25

Step-by-step explanation:

2 x 2 x 2 x 2 + 3 x 3  

4 x 2 x 2 + 3 x 3

8 x 2 + 3 x 3

16 + 3 x 3

16 + 9

25

Answer:

25

Step-by-step explanation:

2^4+3^2

2^4=2*2*2*2=16

3^2=3*3=9

16+9=25

Help please, lots of points! Give explanation!

Answers

31 is 25 cubes remain

Yo sup??

To solve the 31st one just imagine and add all the cubes.

Start from the left side and keep on counting in your mind.

You will end with 25 cubes

For the 32nd one you can just draw a chart to know it.

Since this man has no bro or sis he is a single child.

The man in the picture is himself.

He is pointing to his picture and saying that 'that guys dad is my dad' and since he's a single child therefore its him itself.

So the answer is that man itself.

For the last one again try to draw a chart and connect the dots with the information.

So Lakisha had a bull dog. Since she has a bull dog she can't have Paul as her brother because paul is the brother of that girl who has her pet as horse.

This means paul is the brother of either Angela or Jessica. But its given that the brother of Angela is Ken therefore Paul is the brother of Jessica.

So the relations are

Lakisha-Bull dog, Stephen

Angela-Ken,XXXXX

Jessica-horse,Paul

Hope this helps.

What is 120 divided by 3/5

Answers

Answer: 200

Step-by-step explanation:

120 divided by 3/5 is the same thing as 120 times 5/3.

So 120 x 5 = 600

And 600 divided by 3 is 200

The result of the division 120 divided by 3/5 is : 200.

Here, we have,

given that,

What is 120 divided by 3/5

we know that,

120 divided by 3/5 is the same thing as 120 times 5/3.

i.e. 120 ÷ 3/5

=> 120 × 5/3

now, we know that,

So 120 x 5 = 600

=> 600/3

And 600 divided by 3 is 200.

so, we get,

Hence, The result of the division 120 divided by 3/5 is : 200.

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Solve: 12 Superscript x squared + 5 x minus 4 Baseline = 12 Superscript 2 x + 6

Answers

Answer:

[tex]x = - 5[/tex]

or

[tex]x = 2[/tex]

Step-by-step explanation:

We want to solve ;

[tex] {12}^{ {x}^{2} + 5x - 4} = {12}^{2x + 6} [/tex]

We equate the exponents, because is the same on both sides.

[tex] {x}^{2} + 5x - 4 = 2x + 6[/tex]

We group and rewrite in standard form to get:

[tex] {x}^{2} + 5x - 2x - 4 - 6 = 0[/tex]

[tex]{x}^{2} + 3x- 10= 0[/tex]

[tex] {x}^{2} - 2x + 5x - 10 = 0[/tex]

[tex]x(x - 2) + 5(x - 2) = 0[/tex]

[tex](x + 5)(x - 2) = 0[/tex]

[tex]x = - 5 \: or \: x = 2[/tex]

The solutions are x = 2 and x = -5.

To solve the equation [tex]12^{x^{2} +5x-4}[/tex] = [tex]12^{2x+6}[/tex], we first note that since the bases are the same, we can equate the exponents:

⇒ x² + 5x - 4 = 2x + 6.

Next, we move all terms to one side to form a quadratic equation:

⇒ x² + 5x - 4 - 2x - 6 = 0

Simplifying this gives us:

⇒ x² + 3x - 10 = 0

We can now solve this quadratic equation using the quadratic formula, which is defined as:

⇒ x = (-b ± √(b² - 4ac)) ÷ 2a

For our equation, a = 1, b = 3, and c = -10. Substituting these values into the quadratic formula:

⇒ x = (-3 ± √(3² - 4 × 1 × (-10))) ÷2 × 1

⇒ x = (-3 ± √(9 + 40)) ÷ 2

⇒ x = (-3 ± √49) ÷ 2

⇒ x = (-3 ± 7) ÷ 2

This gives us two solutions:

⇒ x = (4) ÷ 2 = 2

⇒ x = (-10) ÷ 2 = -5

So, the solutions are x = 2 and x = -5.

Which of the following is a complex number?
-7
2 + StartRoot 3 EndRoot
4 + 9i
Pi

Answers

Answer:

4 + 9i

Step-by-step explanation:

a complex number by definition must have a real and imaginary components

imaginary components are denoted by the letter i, where i = √(-1)

the only choice with a real and imaginary components is 4 + 9i

Answer:

4 +9i

Step-by-step explanation:

trust me bro

Judys heart beats 70 times a minute. At this rate, how many times does her heart beat in an hour

Answers

Answer:

4200

Step-by-step explanation:

Final answer:

To find the total number of heartbeats in an hour, multiply the heartbeats per minute by 60. For Judy, her heart beats around 4200 times in an hour.

Explanation:

Judy's heart beats 70 times a minute. To calculate how many times her heart beats in an hour, you can use the following formula:

Heartbeats per hour = Heartbeats per minute x 60 minutes

Heartbeats per hour = 70 x 60 = 4200 times

- Cindy spent $6 on her meal. She spent $4
on a sandwich and the rest on a smoothie.
How many smoothies could be bought
with $124?

Answers

Answer:

She can buy 62 smoothies

Step-by-step explanation:

62 since they cost 2 dollars each divide that by 124 boom

Find x, then find the measurement of both angles.

A: x = 20; both angles measure 112 degrees
B: x = 20; both angles measure 110 degrees
C: x = 30; both angles measure 114 degrees
D: x = 30; both angles measure 118 degrees.

Answers

Answer:

C:x=30:both angles measure 114 degrees

Step-by-step explanation:

in 2 parallel lines with a transversal, the marked angles are alternate exterior angles, which means that both angles are congruent(equal)

ur equation is: 2x+54=4x-6

60=2x

x=30

we have now eliminated options a and b

CHECK:

2*30+54=60+54=114

4*30-6=120-6=114

114=114

PLEASE MARK BRAINLIEST

There are 15 vocabulary words in Week I. There are 8 more vocabulary words in Week 2 than in Week I. How many words are there in both weeks?

Answers

Answer:

There are 38 vocab. words in both weeks

Step-by-step explanation:

There are a few steps to this problem:

First, we know that there are 15 vocab. words in week 1.

Then, in week 2 there are 8 more words than in week 1. So that means 15+8 which equals 23.

Finally, we know that there were 15 words in the first week, and 23 in the second week. So now how many words were there in both weeks? To answer that, you add the number of words in the first week, to the number of words to the second week.

23 + 15 = 38 words total in both weeks

Referring to the figure, refer to the coordinate system shown and
write the ordered pair that names point G.
a. (-4, -1) c. (2, -1)
b. (4, -1) d. (-1, 2)

Answers


The answer is;


C. (2,-1)

Answer: C.

Step-by-step explanation: if you count the you can see that G = (2, -1).

add blank to each side of x^2-8x=9

Answers

Step-by-step explanation:

To complete the square, take half of the second coefficient, square it, then add the result to both sides.

(-8/2)² = (-4)² = 16

x² − 8x + 16 = 9 + 16

Solving:

(x − 4)² = 25

x − 4 = ±5

x = 4 ± 5

x = -1 or 9

Answer:

part 1: x^2 + -8 x=9

part 2: Add 16 to each side

part 3: (x-4)^2 =25

part 4: -1 and 9

2) On a map two points are 7cm apart. The map has a scale of 1:10000. Work out the
actual distance. Give your answer in km.

Answers

Answer:

0.7 km

Step-by-step explanation:

Actual distance in cm = 7(10000)

= 70 000 cm

Actual distance in km = 0.7 km

Answer:

0.7

Step-by-step explanation:

What are the solutions to the equation x2 + 4x + 5 = 0?

Answers

Answer:

no answer

Step-by-step explanation:

x^2+4x+5=0

(x+2)^2+1=0

(x+2)^2=-1

this is impossible,

so this equation has no answer

Answer:

Step-by-step explanation:

The two circles shown above have radii of 2 in. and 6 in.

What is a circum A over b?

Answers

Answer:

1/3

Step-by-step explanation:

For the first circle 2 x 2in = 4 to find diameter

4 x 3.14 = 12.56

6in x 2 = 12

12 x 3.14 = 37.68

simplify

12.56/37.68

6.28/18.84

3.14/9.42

So the answer is 1/3 since 3.14 x 3 = 9.42

Also since the radius is 3 times longer

Answer:

1/3

Step-by-step explanation:

A customer purchased a top that was 16.88 and we have a 50% off sale. What would be the sale price of that top?

Answers

The sale price of the top after the 50% off discount is $8.44.

To calculate the sale price of the top with a 50% discount, follow these steps:

Step 1: Find the discount amount. The discount amount is 50% of the original price. To calculate this, multiply the original price by 0.50 (50% as a decimal):

Discount amount = 16.88 * 0.50 = 8.44

Step 2: Subtract the discount amount from the original price to find the sale price:

Sale price = Original price - Discount amount

Sale price = 16.88 - 8.44 = 8.44

When the customer applies the 50% off discount, they will pay $8.44 for the top, which is half of the original price of $16.88. This means they are getting a 50% discount on the original price.

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There are 32 peanuts in a bag Elliot takes 25% of the peanuts from the bag . Then Zaire takes 50% of the remaining peanuts. How many peanuts are left in the bag

Answers

Answer: 8

Step-by-step explanation:

32/2 (50%)  = 16

32/4 (25%)  = 8

Add these together and you'll get 24. Subtract that from the initial amount and you'll have 8.

Simone has 5 employees in her flower shop. each employee works 6 4/15 hours per day.how many hours in total do the 5 employees work per day

Answers

5/1 x 6 4/15

5/1 x 94/15

Answer: 94/3 or 31 1/3


Tomàs is thinking of a number. Thirteen fewer than three times his number is 305. Of what number is Tomás thinking?

Answers

Answer:

106

Step-by-step explanation:

Given:

Thirteen fewer than three times his thinking number is 305.

Question asked:

What number is Tomás thinking ?

Solution:

Let Toma's thinking number be [tex]x[/tex]

As 13 fewer than 3 times his thinking number is 305.

The equation will be:

[tex](3 times of x) - 13 = 305[/tex]

[tex]3x - 13 = 305[/tex]

Adding both side by 13

[tex]3x = 318\\[/tex]

Dividing both side by 3

[tex]x = 106[/tex]

Thus,  Tomàs was thinking of a number is 106

X squared minus two X minus e to the 5th power equals 0

Answers

Answer:

Step-by-step explanation:

true dat

What the answer of 3/5+4/7

Answers

Step-by-step explanation:

3/5+4/7

= 41/35

that's the answer

HELP PLZ! THIS IS TIMED.

Answers

Answer:

[tex]b_n=\dfrac{2}{3}\cdot (9)^{n-1}[/tex]

Step-by-step explanation:

Given the geometric sequence

[tex]a_1=\dfrac{2}{3}\\ \\a_n=3a_{n-1},[/tex]

then

[tex]a_1=\dfrac{2}{3}\\ \\a_2=3a_1=3\cdot \dfrac{2}{3}=2\\ \\a_3=3a_2=3\cdot 2=6\\ \\a_4=3a_3=3\cdot 6=18\\ \\a_5=3a_4=3\cdot 18=54\\ \\...[/tex]

Hence,

[tex]b_1=a_1=\dfrac{2}{3}\\ \\b_2=a_3=6=\dfrac{2}{3}\cdot 9\\ \\b_3=a_5=54=\dfrac{2}{3}\cdot 9^2\\ \\...[/tex]

Thus, the explicit formula is

[tex]b_n=\dfrac{2}{3}\cdot (9)^{n-1}[/tex]

Madison is carrying a 11.3 liter jug of sports drink that weighs 7 kg.


What is the constant multiple of liters in a jug to the weight in kilograms?

Answers

Answer:

Therefore, the constant multiple of liters in jug to the weight in kilogram is 0.62(approx)

Step-by-step explanation:

Given, Madison is carrying a 11.3 liter jug of sport drink that weights  7 kg.

Let the constant term be x

According to the problem,

11.3 × x = 7

⇔[tex]x =\frac{7}{11.3}[/tex]

⇔x = 0.62

Therefore, the constant multiple of liters in jug to the weight in kilogram is 0.62(approx)

Kara works at a fine jewelry store and earns commission on her total sales for the week. Her weekly paycheck is $6,500 including her salary which is $1,000. Her sales for the week totaled to $45,000. Express her rate of commission as a percent rounded to the nearest whole number.



Answers

Answer:12.2%

Step-by-step explanation:

Her total paycheck minus her salary = the commission amount

So

6500 - 1000 = 5500

So....her commission as a percentage of sales  = 5500/ 45000 = about 12.2%

A volleyball has a surface area of about 227 square inches. Which of these could be the radius of the volleyball

Answers

Final answer:

To find the radius of the volleyball given its surface area, use the formula for the surface area of a sphere (4πr²) and solve for r. The approximate radius of the volleyball would be 4.25 inches based on a surface area of 227 square inches.

Explanation:

The surface area of a sphere formula is 4πr², where r is the radius. Given that the volleyball's surface area is about 227 square inches, we can find the radius by rearranging the formula as follows:

4πr² = 227r² = 227/(4π)r ≈ √(227/(4π)) ≈ 4.25 inches

The dimensions of a box are (x + 1), (4x - 2), and
(3x + 4). What is the volume of the box?

Answers

Answer:

Volume of box = 12x³ + 10x² - 14x - 8

Step-by-step explanation:

Volume of box = Length × Width × Height

Volume of box = (x + 1) (4x - 2) (3x + 4)

Volume of box = (4x² - 2x + 4x - 2) (3x + 4)

Volume of box = (4x² - 2x - 2) (3x + 4)

Volume of box = 12x³ + 10x² - 14x - 8

Answer:

12x^3+22x^2-2x-8

Step-by-step explanation:

i took the test ^^

Simplify by combining like terms. -4a + b + 9 + a -b-3 plz help !

Answers

Answer:

- 3a + 6

Step-by-step explanation:

subtract and add like items together like

- 4a + a = -3a

b-b= 0

and

9-3 = 6

so the answer is

-3a +6

Gumballs are 2 for 8 cents. How many gumballs can I get for 32 cents

Answers

You can get eight gum balls

Answer: you can get 8 gum balls

Step-by-step explanation:

Pat and Julie share some money in the ratio 2 : 5
Julie gets £45 more than Pat.
How much money did Pat get?

Answers

Answer:

22.50

Step-by-step explanation:

the ratio is 2:5 so if julie got 45 then pat would get half of what julie got

45 divided by 2

Bob drove 30 and one third miles towards his house in one third an hour. About how long will the entire 100 mile trip take at this speed?

Answers

It would take [tex]1\frac{9}{91}[/tex] hour to complete the entire trip.

Step-by-step explanation:

Given,

Distance covered = [tex]30\frac{1}{3}[/tex] = [tex]\frac{91}{3}[/tex] miles

Time taken =[tex]\frac{1}{3}[/tex] hour

We know that;

Distance = Speed * Time

[tex]\frac{91}{3} = Speed*\frac{1}{3}[/tex]

Multiplying both sides by 3

[tex]3*\frac{91}{3} = Speed*\frac{1}{3}*3[/tex]

91 = Speed

Bob was driving at 91 miles per hour.

Now,

Distance to cover = 100 miles

Time required = x

Distance = Speed * Time

[tex]100=91x\\91x=100[/tex]

Dividing both sides by 91

[tex]\frac{91x}{91}=\frac{100}{91}\\x=1\frac{9}{91}[/tex]

It would take [tex]1\frac{9}{91}[/tex] hour to complete the entire trip.

Keywords: fraction, distance

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