Solve systems of equations for y and x:

−9x + 4y = 6

9x + 5y = −33

Answers

Answer 1

Answer:

[tex]y = -3[/tex]

[tex]x = -2[/tex]

Step-by-step explanation:

Given

[tex]-9x + 4y = 6[/tex]

[tex]9x + 5y = -33[/tex]

Required

Find x and y

To eliminate x, we simply add both equations

[tex]-9x = 9x + 4y + 5y= 6 - 33[/tex]

[tex]9y= -27[/tex]

Divide by 9

[tex]y = -27/9[/tex]

[tex]y = -3[/tex]

Substitute -3 for y in [tex]9x + 5y = -33[/tex]

[tex]9x + 5 * -3 =-33[/tex]

[tex]9x - 15 =-33[/tex]

Add 15 to both sides

[tex]9x =-15 -33[/tex]

[tex]9x =-18[/tex]

Divide by 9

[tex]x = -18/9[/tex]

[tex]x = -2[/tex]


Related Questions

A man orders5 times as many boxes of ballpoint pens as boxes of felt tip pens. Ballpoint pens cost $4.31 per box, and felt tip pens cost$3.44. If the mans order of pens totaled $99.96 how many boxes of each pen did he buy?

Answers

Answer:

76.38

Step-by-step explanation:

x = the number of boxes of felt tip pens

5x = the number of boxes of ballpoint pens

5x*4.41 + x*3.41 = 76.38

show your work (?) please

Answers

2013
Because you move the decimal three places to the right.
OR.
2.013 x 1,000

Factor 10x2 – 42x – 108.
Question 20 options:

A)

(5x + 9)(x + 6)

B)

2(5x + 9)(x – 6)

C)

(x + 9)(5x – 6)

D)

2(10x – 9)(x + 6)

Answers

Answer:

B

Step-by-step explanation:

You have to know how to factor polynomials.

2(5x^2-21x-54)

2(5x^2-30x+9x-54)

2(5x(x-6)+9(x-6))

2(5x+9)(x-6)

It’s gone be B.(5x +9

2 math questions they can you guys help me

Answers

Answer: 1. The answer is A. 2. The answer is C again

Step-by-step explanation:

Domain and range and function.
Need ASAP

Answers

Answer:

Domain: [tex]All \ real\ numbers[/tex]

Range: [tex]y\geq -5[/tex]

Function: [tex]|x|-5=y[/tex]

Step-by-step explanation:

The domain of this function is all real numbers, this is because any real number can be substituted into this function to produce a real output.

The range of this function is ([tex]y\geq -5[/tex]), this is because all outputs are greater than (-5), rather (-5) is the lowest output that one can have.

The function is [tex]|x|-5=y[/tex]. As one can see, the function as the shape of an absolute value function, the v-shape composed of two ([tex]y=x[/tex]) lines facing opposite directions. The graph has been shifted downwards by (5) units, one can see this because of the vertex formed by the two intersecting lines.

4 Select the correct answer. Solve the system of equations. y= 4x + 5 y = x2 + 12x + 20
A. (-3,-7) (-5,-15)
B. (-3,-17) and (-5,-25) )
C. (-3,-15) and (-5,-7)
D. (3,17) and (5,-15)
need help asap pls​

Answers

Answer: y= 4x + 5 y = x2 + 12x + 20 = y=4  x=0

Step-by-step explanation:

A=1 20

B= 440

C= 120

D= -240

Answer:

B) (-3,-17) and (-5,-25)

Step-by-step explanation:

6 foot tall man has a 9 foot shadow at the same time a tree standing next to him as a 30 foot shadow how tall is the tree?

Answers

27 feet? Or 20?
I did 9-7= 3 so 30-3=27
If not 9/7=1.5 so 30/1.5=20

?

The tree is 20 feet tall if the 6-foot tall man has a 9-foot shadow at the same time a tree standing next to him as a 30-foot shadow.

What is a right-angle triangle?

It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.

From the right angle triangle,

The ratio of the man height and his shadow is equal to the tree height(h) and its shadow.

6/9 = h/30

h = 20 feet

Thus, the tree is 20 feet tall if the 6-foot tall man has a 9-foot shadow at the same time a tree standing next to him as a 30-foot shadow.

Learn more about the right angle triangle here:

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A giant panda lives in the Washington, DC zoo. Another panda weighs 90 kilograms and is 110 months old. List the point that corresponds to this panda in the coordinate plane shown.

6th grade math pls help

Answers

Answer:

The point represents a 36 months old Panda whose weight is 82kg

Step-by-step explanation:

Given

See attachment for plane

Required

What does the point shown represent

The point is: (36,82)

Age is plotted on the x-axis and weight on the y-axis:

This means that:

[tex]Age= 36\ months[/tex]

[tex]Weight = 82\ kg[/tex]

So, the point represents a 36 months old Panda whose weight is 82kg

Answer:

yes

Step-by-step explanation:

Which expression is equivalent to 4 (x + 2)?
6 x
4 (x) + 4 (2)
4 (x) + 4
8x

Answers

The answer is b - 4(x) + 4(2)
The answer is B , 4 (x) + 4 (2).

A manufacturer makes marbles out of glass, like the diagram shown. each marble must have a radius of 1.25 cm to pass quality control.

What is the volume of glass needed to make each marble, in cubic centimeters? Use 3. 14 for symbol and tecall that for spheres.

Answers

Answer:

7.85 is your answer I do believe

Answer:

THE ANSWER IS 6.54

Step-by-step explanation:

In △ ABC and △ PQR, AB = 5 cm , BC = 6 cm , AC = 8 cm , PQ = 6 cm , QR = 5 cm , PR = 8 cm . Which of the following statements is true ?I


△ ABC ≅ △ QPR

△ ABC ≅ △ QRP

△ ABC ≅ △ RQP

Answers

Given:

In △ABC and △PQR, AB = 5 cm , BC = 6 cm , AC = 8 cm , PQ = 6 cm , QR = 5 cm , PR = 8 cm.

To find:

The correct congruency statement for the given triangles.

Solution:

In △ABC and △PQR,

[tex]AB=QR=5\ cm[/tex]                    (Given)

[tex]BC=PQ=6\ cm[/tex]                    (Given)

[tex]AC=PR=8\ cm[/tex]                    (Given)

All three corresponding sides of both triangles are equal. On comparing both triangle, it is conclude that the corresponding angles of A, B, C are R, Q, P respectively.

[tex]\Detla ABC\cong \Delta RQP[/tex]               (SSS congruency postulate)

Therefore, the correct option is C.

help please will mark brainliest!
Find the area. Simplify your answer.

Answers

Answer:

If you know what x is then you can add it to 1 multiply that by 7 to get the answer then simplify, since you cannot simplify whole numbers you know that it is a decimal. To simplify a decimal remove the decimal point and reduce the ratio to a ratio of whole numbers. Multiply the numerator and denominator of the ratio in fraction form by a 10, 100, 1000 i.e., a power of ten to eliminate the decimal. Then the fraction is simplified to be in its lowest terms.

Step-by-step explanation:

Pleaseee brainliest

Answers

Answer:

2√2

Step-by-step explanation:

Answer:

uhhh ok im not 100% sure but i think its

Step-by-step explanation:

Based on previous research, the standard deviation of the distribution of the age at which children begin to walk is estimated to be 1.5 months. A random sample of children will be selected, and the age at which each child begins to walk will be recorded. A 99% confidence interval for the average age at which children begin to walk will be constructed using the data obtained from the sample of children. Of the following, which is the smallest sample size that will result in a margin of error of 0.1 month or less for the confidence interval?
a. 400.
b. 900.
c. 1,300.
d. 1,600.
e. 2,100.

Answers

Answer:

d. 1,600.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.99}{2} = 0.005[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.005 = 0.995[/tex], so Z = 2.575.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

Based on previous research, the standard deviation of the distribution of the age at which children begin to walk is estimated to be 1.5 months.

This means that [tex]\sigma = 1.5[/tex]

Of the following, which is the smallest sample size that will result in a margin of error of 0.1 month or less for the confidence interval?

The sample size has to be n or larger. n is found when [tex]M = 0.1[/tex]. So

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]0.1 = 2.575\frac{1.5}{\sqrt{n}}[/tex]

[tex]0.1\sqrt{n} = 2.575*1.5[/tex]

Multiplying both sides by 10

[tex]\sqrt{n} = 2.575*15[/tex]

[tex](\sqrt{n})^2 = (2.575*15)^2[/tex]

[tex]n = 1492[/tex]

So the sample size has to be at least 1492, which means that of the possible options, the smallest sample size is 1600, given by option d.

The sample size should be at least 1492, So the possible options, the smallest sample size is 1600, option D is the correct answer

Based on previous research, the standard deviation of the distribution of the age at which children begin to walk is estimated to be 1.5 months. A random sample of children will be selected, and the age at which each child begins to walk will be recorded. A 99% confidence interval for the average age at which children begin to walk will be constructed.

What is the margin of error?

The margin of error tells you how many percentages points your results will differ from the real population value.

[tex]M=z\frac{\sigma}{\sqrt{n} }[/tex]

We need to find our α level, that is the subtraction from 1 by the confidence interval for the average age divided by 2.

[tex]\alpha = \frac{1-0.99}{2}\\ =0.005[/tex]

Now, we need to find z which is 1-α

[tex]1-\alpha \\=1-0.005\\\rm z=2.575[/tex]

The margin of error M

[tex]M=z\frac{\sigma}{\sqrt{n} }[/tex]

Here, [tex]\sigma[/tex] is the standard deviation of the population.

n is the size of the sample.

So,

[tex]\rm M=z\frac{\sigma}{\sqrt{n} } \\\rm0.1=2.575\frac{1.5}{\sqrt{n} } \\\rm0.1\times\sqrt{n} =2.575\times{1.5}\\\rm\sqrt{n} =2.575\times{1.5}\\\rm(\sqrt{n} )^{2} =(2.575\times{1.5})^{2} \\\rm n=1492[/tex]

Hence, the sample size should be at least 1492, So the possible options, the smallest sample size is 1600, option D is the correct answer.

Learn more about the margin of error here:

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Page 1
1. Find the common denominator for the
pairs of fractions given.
3/5 and 2/15

Answers

Answer:

15 is the answer.      3/5 with the denominater would be 9/15

Salma has 8 bottles of PEPSI which contain 13 litres in total. To get 18.5 litres of PEPSI, how many bottles she should have?

Answers

Answer:

!2 bottles

Step-by-step explanation:

Given

[tex]8\ bottles = 13\ litre \\[/tex]

Required:

Number of bottles for 18.5 liters

Represent this with x.

So:

[tex]8\ bottles = 13\ litre[/tex]

[tex]x = 18.5\ litre[/tex]

Cross Multiply

[tex]x * 13 = 8\ bottles * 18.5[/tex]

[tex]x * 13 = 148\ bottles[/tex]

[tex]x = \frac{148}{13}\ bottles[/tex]

[tex]x = 11.4\ bottles[/tex]

Hence, she needs 12 bottles

A sociologist was hired by a large city hospital to investigate the relationship between the number of unauthorized days that employees are absent per year and the distance (miles) between home and work for the employees. A sample of 10 employees was chosen, and the following data were collected.

Distance to Work (miles) Number of Days Absent
1 9
3 6
4 9
6 8
8 7
10 2
12 4
14 3
14 5
18 1

Required:
a. Develop the least squares estimated regression equation used to predict the number of days absent given a certain distance to work.
b. Is there a significant relationship between the two variables? Use α = 0.05.
c. Did the estimated regression equation provide a good fit? Explain.
d. Is the estimated regression equation appropriate and adequate?
e. Are there any outliers in the data? If yes, identify them.

Answers

Answer:

y = -0.43841X + 9.34565

Step-by-step explanation:

Given the data:

Distance to work (x) :

1

3

4

6

8

10

12

14

14

18

Y:

9

6

9

8

7

2

4

3

5

1

The least square estimated regression equtyol obtained using  a linear regression calculator is :

y = -0.43841X + 9.34565

Yes, from the correlation Coefficient value, R which yields - 0.8444, shows they a strong linear relationship exists between the two variables.

The obtained regression equation is appropriate

On a certain day, the temperature outside dropped 5 degrees every hour for 4 hours. How much has it dropped after the 4 hours?

Answers

20 degrees.

4 x 5 = 20

Answer:

OKay i did not get it but it should be 96 hours

Step-by-step explanation:

solve for the following equation
6Y+4 = 4y-2​

Answers

Answer:

y = -3

Step-by-step explanation:

6y +4 = 4y- 2

2y= -6

y= -3

pls Mark as brainliest

The answer is : Y= -3

Solve the proportion.
20/16 =d/12 d= pls help

Answers

Answer:

d=15

Step-by-step explanation:

Cross multiply 20 * 12 =240

16 * d = 16d

16d=240

d=15

change 0.7 into a percentage​

Answers

Answer:

70%

Step-by-step explanation:

To convert from decimal to percent, just multiply the decimal value by 100. In this example we have: 0.7 × 100 = 70%

Pls mark brainiest if it helped :P

Answer:

70%

Step-by-step explanation:

To convert from decimal to percent, just multiply the decimal value by 100. In this example we have: 0.7 × 100 = 70%

I learned this from 5th grade i think, but hope this helps alot

Find the value of b. A. 14 B. 15 C. 64 D. 289

Answers

Answer:

B) 15

Step-by-step explanation:

8²+b²=17²

64+b²=289

b²=289-64

b²=225

b=√225

b=15

These are the answers.​
But reasons are not given.

Answers

Answer:

Looks like the book has fixed RHS while I have fixed LHS.

The question above is what I need to know

Answers

Answer:

a

Step-by-step explanation:

Answer:

angles 1 and 3 are supplementary

In triangle ABC, ∠A=120°, a=3, and b=2. Find angle ∠C to the nearest degree.

Answers

Answer:

Step-by-step explanation:

Use Law of Sines to find ∠B.

∠B = arcsin(b·sinA/a) ≅ 35°

∠C = 180°-∠A-∠B = 25°

A football team needs to have at least 11 players. Only 4 people have signed up to play on

the Flying Squirrels football team so far.

Let x represent how many more people need to sign up. Which inequality describes the

problem?

4 + x 2 11

4 + x > 11

Solve the inequality. Then, complete the sentence to describe the solution.

At least

more people need to sign up.

Submit

Work it out

Not feeling ready yet? This can help:

Answers

Answer:

x ≥ 7

At least 7 more people need to sign up.

Step-by-step explanation:

We need to have at least 11, so the number of players needs to be greater or equal to 11. So, the equation is:

4 + x ≥ 11

To solve, subtract 4 from both sides.

x ≥ 7

At least 7 more people need to sign up.

The inequality which represents the situation is 4 + x ≥ 11 and the phrase will be at least 7 more people need to sign up.

What is inequality?

A difference between two values indicates whether one is smaller, larger, or basically not similar to the other.

In other words, inequality is just the opposite of equality for example 2 =2 then it is equal but if I say 3 =6 then it is wrong the correct expression is 3 < 6.

As per the given,

A football team needs to have at least 11 players. Only 4 people have signed up.

Let's say x number of people need to have at least 11.

x + 4 ≥ 11

x ≥ 11 - 4 = 7

Thus, at least 7 people more required.

Hence "The inequality which represents the situation is 4 + x ≥ 11 and the phrase will be at least 7 more people need to sign up".

For more about inequality,

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The pool has a deck that is 9 meters wide on all sides. What is the perimeter of the pool?

Answers

Answer:

36 meters

Step-by-step explanation:

If the pool has 4 sides, and every side is 9 meters you add 9+9+9+9 to get 36 or just multiply 9 x 4.

2x2 + 6x + 2 = 5x2 + 9x + 3

Answers

Answer:

−3

Step-by-step explanation:

Use the values of a,b, and c to find the discriminant. −3

Two pizza delivery drivers compared the mean numbers of deliveries they completed in one day.

Answers

Answer:

The mean number of deliveries for driver A is less then the mean for driver B by 3 MADs.

Answer:

CAN SOMEONE REMOVE THIS ANSWER.

It is a question that has varied answer.

Answers

Step-by-step explanation:

most questions have valid us answers actually so yeah

Answer:

Multiplication tables

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