Simpson is solving the systems of equations below by substitution. Show Mr. Simpsons first step if he substitutes the first equation into the second equation. DO

SOLVE!


y = 5x + 12

3y + 4x = 150


I’m struggling on this one.

Answers

Answer 1

Answer:

[tex]x=6,y=42[/tex]

Step-by-step explanation:

The equations are

[tex]y=5x+12[/tex]

[tex]3y+4x=150[/tex]

Substituting the first equation in the second we get

[tex]3(5x+12)+4x=150[/tex]

[tex]\Rightarrow 15x+36+4x=150[/tex]

[tex]\Rightarrow x=\dfrac{150-36}{19}[/tex]

[tex]\Rightarrow x=6[/tex]

[tex]y=5x+12=5\times 6+12\\\Rightarrow y=42[/tex]

So, the required values are [tex]x=6,y=42[/tex]


Related Questions

this question tho........... .​

Answers

Answer:

Step-by-step explanation:

[tex]5\sqrt[3]{x+8}=35\\ \\ \sqrt[3]{x+8}=7\\ \\ x+8=7^3\\ \\ x+8=343[/tex]

Michelle deposited $3,400 into an account. She made no additional withdrawals or deposits. Michelle earned 1.95% annual simple
interest on the money in the account
What was the balance in her account at the end of 2.5 years?
Enter the amount in the account in the box.

$_______

Answers

Answer: 96 cents or 0.96

Step-by-step explanation:

When in a money problem like this and it is telling you to find the tax, fee, or and bonus you move the decimal in front of the number or decimal and round to the nearest penny and in this situation .195 rounds to .96

The balance in her account at the end of 2.5 year should be considered as the $3,568.

Calculation of the balance in the amount:

Since deposited amount si $3,400

The interest rate is 1.95%

And, the time period is 2.5 years

So, here the balance should be like

[tex]= 3400 \times (1 + 1.95\%)^{2.5[/tex]

= $3,568

hence, The balance in her account at the end of 2.5 year should be considered as the $3,568.

Learn more about interest rate here: https://brainly.com/question/24002393

What is the measure of angle ACB?

Answers

Answer: 48

Step-by-step explanation:

choose the scatter plot in which the outlier is highlighted

Answers

Answer:

its the second graph top right

Step-by-step explanation:

an outlier is a point that deviates from the rest

Can you help me find the area?

Answers

Answer:

52.72m

Step-by-step explanation:

half-circles)

[tex]c = \pi {r}^{2} \\ c = 3.14 \times 16 = 50.24 \div 2 = 25.12[/tex]

rectangle)

[tex]4 \times 6 = 24[/tex]

triangle)

[tex] {3}^{2} + {2}^{2} = {c}^{2} \\ 9 + 4 = 13 \\ \sqrt{13} = 3.6[/tex]

Add everything-

[tex]3.6 + 25.12 + 24 = 52.72[/tex]

Felicia wants to solve the equation below. 77=11z What should she do to both sides of the equation to determine the value of z?​

Answers

The answer is 7
Explanation:
You divide both sides by 11 so 77 divided by 11 is 7

Find the lateral surface area of
the following cylinder:
r = 5 cm
5 cm
LSA= [ ? ]n cm?
Leave your answer in terms of T.
Enter the number that goes in the green box.

Answers

Answer:

50π cm²

Step-by-step explanation:

Lateral surface area of a cylinder is the area surrounding curved surface of the cylinder

Thus:

Lateral surface area of the cylinder = 2πrh

Where,

r = 5 cm

h = 5 cm

Plug in the values

Lateral Surface Area = 2*π*5*5

= 50π cm²

I need help plz 6x-5=2x+7

Answers

Answer:  x=3

Step-by-step explanation; Add 5 to both sides of the equation

6x-5+5=2x+7+5

simplify: add the numbers

6x-5+5=2x+75 = 6x=2x + 7+5

6x =2x + 7+5

6x=2x +12.

subtract 2x from both ides of the equation: 6x=2x + 12

6x - 2x =2x + 12-2x6

combine like terms  u should get 4x= 12

divided both sides of the equation by the same term 4x=12  4x/4 =12/4

Cancel terms that are in both the numerator and denominator u should get  x=12/4

divided the numbers and ur answer is X=3

Alexander order 24 dozen eggs for her restaurant 8 of the eggs arrived broken how many unbroken eggs this year received​

Answers

Answer:

4 eggs

Step-by-step explanation:

Find the length of the third side. If necessary, round to the nearest tenth.
16 and 12

Answers

Answer:

Third side = 3√3

Step-by-step explanation:

Apply pythagorean theorem, which is a² + b² = c²

Where,

a = ?

b = 3

c = 6

Substitute

a² + 3² = 6²

a² = 6² - 3²

a² = 27

a = √27

a = √(9 × 3)

a = 3√3

What is g x h in commutative property of multiplication

Answers

Answer:

h x g

Step-by-step explanation:

In commutative property states that the numbers on which we operate can be moved or swapped from their position without making any difference to the answer

A circular path 3 feet wide has an inner diameter of 750 feet. How much farther is it around the outer edge of the path than around the inner edge? Round to nearest hundredth. Use 3.14 for π.


The outer edge of the path is --------- feet farther around than the inner edge.

Answers

Answer:

18.84

Step-by-step explanation:

On hrw

Help for brainliest!

Answers

Answer:

I believe it's d but I could be wrong but I'd try it

Factor out completely the quadratic function : NEED THIS ASAP WILL GIVE BRAINLIEST

Answers

Answer:

Here is your answer

Step-by-step explanation:

3.(x+3)(x+5)

4.(x-8)(x+8)

5.(x+6)^2

Triangle KLM is similar to triangle NOP. Find the measure of side NO. Round your

answer to the nearest tenth if necessary.

M

P Р

O

1

23

51.6

38

N

Answers

Answer:

[tex]NO= 31.2[/tex]

Step-by-step explanation:

See attachment for triangle

From the attachment, we have:

[tex]KL = 51.6[/tex]

[tex]LM= 38[/tex]

[tex]OP = 23[/tex]

Required

Find NO

This will be calculated using the following equivalent ratios:

[tex]NO : OP = KL : LM[/tex]

This gives:

[tex]NO : 23= 51.6: 38[/tex]

Express as fraction

[tex]\frac{NO }{ 23}= \frac{51.6}{ 38}[/tex]

Make NO the subject

[tex]NO= \frac{51.6}{ 38} * 23[/tex]

[tex]NO= \frac{51.6* 23}{ 38}[/tex]

[tex]NO= \frac{1186.8}{ 38}[/tex]

[tex]NO= 31.2[/tex] --- approximated

Answer:

x≈ 16.9

Step-by-step explanation:

In Mr.Wilson's math class the average of the 20 test scores that was 82. When the top 5 scores were eliminated, the average of the remaining scores was 78. What was the average of the top 5 scores that were eliminated

Answers

Answer:

82, 81, 80, 79, 78

Step-by-step explanation:

I dont know if this will help but hope it does

Answer:

vgfvxdvcvsdvcvdbxvbvdvxfvwcvtgrvfrwevtfcrdsvgvferfdvfecdfdvgtvtfgcevgbtrvthytrjgrvhc

Step-by-step explanation:

What is the total deposit on the deposit slip below?

Answers

So you have $42, .87 , 25.42, 95.47 and want to keep(less cash received) 50 and deposit the remaining 113.76

Which of the following shows the greatest percent increase?

A. 50 increased to 75
B. 500 increased to 700
C. 5,000 increased to 7,000
D. 50,000 increased to 74,000

Answers

A 50% increase. B. 40% increase c 40% increase. D 48% increase

Evaluate the expression x^3+x^2 for x=4

Answers

Answer: 15

Step-by-step explanation:

Answer:80

Step-by-step explanation:

4^3+4^2=80

Avery got on the bus at 5:15 P.M. The trip took 80 minutes. Then she walked for 53 minutes to get home. At what time did Avery arrive at home?

Answers

Answer:

7:28PM

Step-by-step explanation:

80 minutes = 1 hour and 20 mins

5:15PM + 1 hour and 20 minutes = 6:35PM

6:35 + 53 = 6:88

6:88PM = 7:28PM

what is the answer for this? Select all the fractions that are equivalent to 45. Use the area models to help.

Answers

Answer: bro you have to submit a picture or some more information baceuse nobody will be able to answer your question with only one number (45)

Step-by-step explanation:

What is the first step you would take to solve the equation shown? n/4 - 4 = -12. Add 4. Subtract 4. Multiply by 4. Divide by 4 WHO EVER ANSWERS I WILL MARK BRAINLIEST

Answers

Answer:

Divide by 4

Step-by-step explanation:

Answer:

Step-by-step explanation:

Fractions can get messy.

I like to clear fractions, so I would multiply both sides by 4

n - 16 = -48    multiple by 4

n = -48 + 16   add 16 to both sides

n = -32           collecting terms

If x = 7 units and h = 4 units, then what is the area of the triangle shown above?
A.
28 square units
B.
42 square units
C.
14 square units
D.
8 square units

Answers

Answer:

c.14

Step-by-step explanation:

(area of triangle is 1/2*base*height) which is 0.5*7*4=14

Answer:

The answer is 14 square units because you have to multiply the height from the base and divide by 2.

In the equation 6x – 2 = –4x + 2, Spencer claims that the first step is to add 4x to both sides. Jeremiah claims that the first step is to subtract 6x from both sides. Who is correct? Explain.

Answers

Answer:

Spencer is correct

Step-by-step explanation:

because you always go for the lowest number

Answer:

Spencer

Step-by-step explanation:

Spencer got it corret because the answer is x=2/5

but jeremiah subtracted 6x so he got x=1/3

Hope this helps :)

Can I have brainliest Plsssss

can someone help me with this (will give brainliest)
please view the attached image

Answers

Answer:

rate: 4                             rate: -2

starting: 3                       starting: 30

y= -4x + 3                        y= -2x + 30

rate: 2                            rate: 6

starting: -4                     starting: 6

y= 2x -4                          y= 6x + 6

Step-by-step explanation:

[tex]m = \frac{\text{rise}}{\text{run}} = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

^equation to find slope

To also find b, the starting value,  you need to take any point given and substitute it back into the equation with the slope.

However, these problems give you the y-int already [it is the point like (0,y)]

7-3/1-0 = 4/1

rate: 4

starting: 3

y= 4x + 3

28-30/1-0= -2/1

rate: -2

starting: 30

y= -2x + 30

-2 - (-4)/1-0 = 2/1

rate: 2

starting: -4

y= 2x -4

6-0/1-0 = 6/1

rate: 6

starting: 6

y= 6x + 6

Help me with this geometry

Answers

Answer:

x = 11.2

Step-by-step explanation:

Since, ΔPQR ~ ΔVST,

By the property of similar triangles, corresponding sides of these triangle will be proportional.

[tex]\frac{PQ}{VS}=\frac{QR}{ST}[/tex] ---------(1)

Since, scale factor = [tex]\frac{\text{Dimension of the image figure}}{\text{Dimension of the original}}[/tex]

[tex]\frac{2}{5}[/tex] = [tex]\frac{PQ}{VS}[/tex]

Therefore, from equation (1)

[tex]\frac{2}{5}=\frac{x}{28}[/tex]

x = [tex]\frac{28\times 2}{5}[/tex]

x = 11.2

Math hard
Question: Which of the following number sentences is an example of the commutation property of multiplication?
A:27+3=3+27
B:4x5=10x2
C:18x1=1x18
D:2x(9x14)=(2x9)x14

Answers

Answer:

C:18x1=1x18

when multiplying 2 numbers, the result is the same in either order.

This is the answer
C:18x1=1x18

Bill is a used car salesman. He sells a used automobile for $15,799. If he receives a 4%
commission on all sales, how much money would he receive for making the sale?

Answers

Answer: 4 cents or .4

Step-by-step explanation:

Whenever in a problem like this where there is a fee, tax, and or bonus you move the decimal in front of the number and round to the nearest penny but if there is only one number in front of the decimal you don’t gotta do anything with it unless its .5 or higher but .4 and below you keep the same.

A soft-drink machine is regulated so that the amount of drink dispensed is approximately normally distributed with known standard deviation, sigma. Given a random sample of n drinks and the sample mean, x-bar, you find a 90% confidence interval for the mean of all drinks dispensed by this machine. Then you calculate a 90% confidence interval (same confidence level) using a larger sample, for example (n 20) drinks. Also, you notice that the sample mean, x-bar, is the same for both samples.

Required:
Was this a reasonable decision?

Answers

Answer:

This is  a reasonable decision because the sample size has no effect on the 90% confidence interval

Step-by-step explanation:

90% confidence interval

larger sample size = 20

condition : sample mean ( x-bar ) is the same for both samples

This is  a reasonable decision because the sample size has no effect on the 90% confidence interval

from condition 1 :

Amount of drink dispensed is normally distributed with known standard deviation , given a random sample of n drinks and the sample mean at a confidence interval of 90%

for condition 2 :

sample size = 20

mean = 2.25 ( assumed value )

std = 0.15 ( assumed value )

Z = 1.645 ( Z-value )

determine the 90% confidence interval

= mean ± z [tex]\frac{std}{\sqrt{n} }[/tex]

= 2.25 ± 1.645 [tex]\frac{0.15}{\sqrt{20} }[/tex]

= 2.25 ± 0.0335 = ( 2.2835 , 2.2165 )

Given the equitation 3x+6x=30. What is the slope and y intercept.

Answers

Answer:

slope-5/3-1 2/3

y-intercept=-2

Step-by-step explanation:

hope that helps if correct please mark as brainliest thank you

19NBoli

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