Solve the system of equations by substitution. X + y = 32 y = 7x The solution of the system is (Simplify your answer. Type an ordered pair.)

if you can can you please write out the steps

Solve The System Of Equations By Substitution. X + Y = 32 Y = 7x The Solution Of The System Is (Simplify

Answers

Answer 1

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Let's solve ~

The given equations are :

[tex]\qquad \sf  \dashrightarrow \:x + y = 32[/tex]

and

[tex]\qquad \sf  \dashrightarrow \:y = 7x[/tex]

Now, plug in the value of y from equation 2 into equation 1 to find out the value of x ~

[tex]\qquad \sf  \dashrightarrow \:x + y = 32[/tex]

[tex]\qquad \sf  \dashrightarrow \:x + 7x = 32[/tex]

[tex]\qquad \sf  \dashrightarrow \:8x = 32[/tex]

[tex]\qquad \sf  \dashrightarrow \:x = 32 \div 8[/tex]

[tex]\qquad \sf  \dashrightarrow \:x = 4[/tex]

Now, plug the value of x in equation 2 to find y

[tex]\qquad \sf  \dashrightarrow \:y = 7x[/tex]

[tex]\qquad \sf  \dashrightarrow \:y = 7 \times 4[/tex]

[tex]\qquad \sf  \dashrightarrow \:y = 28[/tex]

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Related Questions

Proportional ratios : If I mow 75 % of 150 square meters of my grass, how much did I mow?​

Answers

Answer:

You mowed 112.5 square meters of your grass.

Step-by-step explanation:

First, convert the percentage to a fraction.

75% = 3/4

Then to find 75% of 150, multiply 3/4 and 150.

(3/4) * 150

(3*150)/4

450/4

112.5

We can now say that 75% of 150 is 112.5, meaning you mowed 112.5 square meters of your grass.

Answer:

[tex]\huge\boxed{\sf 112.5 \ m^2\\}[/tex]

Step-by-step explanation:

Grass mowed:

= 75% of 150 m²

[Key: "of" means "to multiply" and "%" means "out of 100"]

[tex]\displaystyle = \frac{75}{100 } \times 150\\\\= \frac{75 \times 15}{10} \\\\= \frac{1125}{10} \\\\= 112.5 \ m^2\\\\\rule[225]{225}{2}[/tex]

Hi! Im stuck on this question please help, thanks

Answers

Answer:

I guess it is 43.57 Hope it helps!!!

A bakery sells chocolate cupcakes and vanilla cupcakes. It sold 143 chocolate cupcakes in a day. 35% of the cupcakes sold that day were vanilla. How many total cupcakes did the bakery sell that day?

Answers

Answer:220

Step-by-step explanation:

How do I find the current price of a stock when the rate is not constant? Please give a formula step by step answer I'm so confused

Answers

Answer:

There is no affirmative formula, but this is the basics

Step-by-step explanation:

DDM Formula=

Stock value = Dividend per share / (Required Rate of Return – Dividend Growth Rate)

Rate of Return = (Dividend Payment / Stock Price) + Dividend Growth Rate.

The P/E Ratio. The price-to-earnings ratio or P/E ratio is a popular metric for valuing stocks that works even when they have no dividends. Regardless of dividends, a company with high earnings and a low price will have a low P/E ratio. Value investors see such stocks as undervalued.

The current price is the most recent selling price of a stock, currency, commodity, or precious metal that is traded on an exchange and is the most reliable indicator of that security's present value.

The formula consists of taking the DPS in the period by (Required Rate of Return – Expected Dividend Growth Rate). For example, the value per share in Year is calculated using the following equation: Value Per Share ($) = $5.15 DPS ÷ (8.0% Ke – 3.0% g) = $103.00.

Briefly, in order to be eligible for payment of stock dividends, you must buy the stock (or already own it) at least two days before the date of record. That's one day before the ex-dividend date.

Please help !!! What’s the answer to this??

No links please ! And no replies if you don’t know the answer.

Answers

Answer:

Average speed is distance/time. You could say, 12/6 = 2 miles per second and say that’s the answer, but we relate to mph so much better. Since there are 60 x 60 = 3600 sec in an hour, that same speed is:

2 x 3600 = 7,200 mph

No “car” can travel this fast. Some rocket cars have gone about 1/10th this speed.

If the steak your purchasing is 6 ounces how much does each once cost

Answers

this would be price divided by 6. Without knowing the price of the entire steak, you cannot know the answer.

Find the final price of a $149 iPod with a 10% discount
and 5% sales tax.

Answers

Answer:

140.80

Step-by-step explanation:

Not completely sure if my answer is correct

Can someone help me with math I need help I will attempt to give y’all help too!

Answers

Answer:

48%

Step-by-step explanation:

there are 250 cars in total 50+70 is 120 (the red  or blue cars)

so there are 120 "yes" out of 250 total of 120 divided by 250 equal 0.48 or 48%

The area of the triangle below is 4.06 square meters. What is the length of the base?

Answers

S=0,5ha

4.06=0,5ha

ha=8.12

a=8.12/h

3x2 + 6x = 12 (using quadratic formula)

Answers

The answer is x=1
See the photo for the explanation.

that are equivalent to 4(3x + 3)

Answers

Answer: 4(3 x + 3) would be equivalent to 12 x + 12 .

Step-by-step explanation: because both expressions remains the same for the value of x . *your welcome <3* .

Brainliest available

Find "X"

Answers

I think you meant solve [tex](4^2)x(2^9)[/tex]

Answer:

8192

Step-by-step explanation:

Given:

[tex]\left(4^2\right)x\left(2^9\right)[/tex]

Solution:

[tex]\left(4^2\right)x\left(2^9\right)[/tex]

[tex]=4^2x \:2^9[/tex]

[tex]4^2=16[/tex]

[tex]=16x \:2^9[/tex]

[tex]2^9=512[/tex]

[tex]=16x\:512[/tex]

[tex]\mathrm{Multiply\:the\:numbers:}\:16\cdot \:512=8192[/tex]

[tex]=8192[/tex]

~lenvy~

Answer:

=> 8192

Step-by-step explanation:

Given :

(4²)x(2⁹)

=> (16)x(512)

=> 16.512

=> 8192

If x=3, y=-2, z=-1 ,find the value of 3x-4y+z
I really need help

Answers

Answer:

16

Step-by-step explanation:

Since, x=3, y=-2, z=-1

We can Substitute:

3(3)-4(-2) + -1

9 -4(-2)+-1

9 + 8 + -1

17 - 1

16

~Lenvy~

QUICK please help meeee.​

Answers

Answer: A. Obstacle

Step-by-step explanation: They have the same meaning.

a locker requires a three-digit code to open the lock. the code must contain one letter and two numbers, and no letter or number can be repeated. you can choose from among four letters, a,b,c and d and two numbers, 5 and 6

Answers

Answer:

4 ways

Step-by-step explanation:

Given

Code consists of 3 digits1 letter and 2 numbersNo number/letter should be repeated

Possible combinations

a56b56c56d564 ways

What is the formula for finding the Volume of a cylinder?

Answers

Answer:

V = πr²h

Step-by-step explanation:

Answer:

V = Bh or what the guy above/below me said

Step-by-step explanation:

A bicycle costs $240 and it loses 3/5 of its value each year.

A. Write expressions for the value of the bicycle,in dollars, after 1,2, and 3 years

B. When will the bike be worth less than $1?

Answers

Answer:

  A.  $96.00, $38.40, $15.36

  B.  after 6 years

Step-by-step explanation:

An exponential function has the general form ...

  y = (initial value) × (growth factor)^t

__

A.

The growth factor is 1 more than the growth rate. Here, the "growth" is actually a decay at the rate of 60% per year, so the growth rate is -0.60. The initial value is $240. The value equation can be written ...

  y = 240(1 -0.60)^t

We want the value after t=1, t=2, and t=3 years.

  y = $240(0.4)^1 = $96 . . . value after 1 year

  y = $240(0.4)^2 = $38.40 . . . value after 2 years

  y = $240(0.4)^3 = $15.36 . . . value after 3 years

__

B.

We want to find t when y < 1.

  240(0.4)^t < 1

  0.4^t < 1/240 . . . . . . . . . . . . divide by 240

  t × log(0.4) < log(1/240) . . . take logs

  t > log(1/240)/log(0.4) . . . . . . . inequality reverses because log(0.4) < 0

  t > 5.98

The bike will be worth less than $1 after about 6 years.

_____

Additional comment

For part A, we have shown the values after 1, 2, and 3 years. The expressions are shown on the same line preceding the value.

please help :(
I'll give brainliest!​

Answers

Answer:

58km

Step-by-step explanation:

perimeter of rectangle= 2x(l+b)

2x(28+1)

2x29=58

PLEASE HELP ME!!!!!!!

Answers

Answer:

10 hours

Step-by-step explanation:

multiply b 2 then divided the miles and time and add to the total to get the time and miles you need


another retake !! help it’s due today

Answers

Answer:

Maurico started with more :)

Step-by-step explanation:

Mariah started with 150 while Maurico started with around 190 so he has more to start with :)

Have a great day!

Please rate and mark brainliest!

Answer:

Mauricio

Step-by-step explanation:

To find who started with more money in their savings account, we want to observe the savings in $ when time=0 years

So by looking at the table of Mariah's savings, we see that when t=0 she had S=150$

By looking at the graph which describes Muaricio's savings as a function of time, we can see that when time=0 or x=0, y=S=190$

In other words, the y-intercept is the initial amount of savings.

190>150

:P

Hope this helps, it would be appreciated if you made me brainliest.

The length of a rectangle is 12 feet more than twice the width. If the area is 320 square feet, what is the length? What is the width?

Answers

Answer:

Length of rectangle is 32 feet and width is 10 feet

Step-by-step explanation:

Given,

The length of a rectangle is 12 feet more than twice the width and area is 320 square feet

Let's assume, width of rectangle x feet and length of the Rectangle be 12 + 2x respectively. To Calculate the length and width of rectangle we'll use the formula of area of rectangle:

[tex] \\ \star \: { \underline{ \boxed { \pmb{ \sf{ \purple{Area _{(rectangle)}= Length \times width}}}}}} \\ \\ [/tex]

Substituting the required values:

[tex]\dashrightarrow \sf \: \: \: \: (12 +2x) (x) = 320 \\ [/tex]

[tex]\dashrightarrow \sf \: \: \: \: 12x + 2x^2 = 320 \\ [/tex]

[tex]\dashrightarrow \sf \: \: \: \: 12x + 2x^2- 320 = 0 \\ [/tex]

[tex]\dashrightarrow \sf \: \: \: \: 2x^2 + 12 - 320 = 0 \\ [/tex]

[tex]\dashrightarrow \sf \: \: \: \: 2(x^2 + 6x - 160) = 0 \\ [/tex]

[tex] \dashrightarrow \sf \: \: \: \: 2(x^2 + 16x - 10x - 160) = 0 \\ [/tex]

[tex]\dashrightarrow \sf \: \: \: \: 2(x - 10)(x + 16) = 0 \\ [/tex]

[tex]\dashrightarrow \: \: \: \: \underline{ \boxed{ \purple{ \pmb{ \rm{ x = 10 \: or \: -16}}}}} \\ [/tex]

Hence,

Width of rectangle = x = 10 feet Length of rectangle = 12 + 2x = 12 + 2(10) = 32 feet

[tex]~[/tex]

[tex] \underline{\therefore{ \pmb { \frak{Length \: and \: width \: of \: rectangle \: is \: 32 \: and \: 10 \:ft}}}}[/tex]

16% of 250 is equal to 250% of 16. True or false

Answers

Answer:

True

Step-by-step explanation:

16% of 250

250*16/100 = 40

250% of 16

16*260/100 = 40

Both outcomes are same so the answer is True

Let's check

16% of 250

0.16(250)40

250% of 16

2.5(16)40

Yes true

HELP ME WITH THESE GEOMTRY QUESTIONS PLEASE I WOULD REALLY APPRECIATE IT AND CAN YOU TRY TO SHOW THE WORK THANK YOU SO MUCH

Answers

Answer:

1062

Step-by-step explanation: Find the area of each side then add it all up

A dilation with a scale factor of 2 is applied to the three line segments shown. The resulting images are P'Q' A'B' and M'N' 2 cm 1.5 cm M 3 cm N B What are the lengths of the images? Drag the answer into the box to match each segment. Ρ'Ο AB 1 M'N' ໃ & 0.75 cm 1 cm 1.5 cm 3 cm 4 cm 6 cm







need to do this QUICK!​

Answers

The value of the dilated line segments P'Q', A'B' and M'N' are 4 cm. 3 cm and 6 cm

What is dilation?

Dilation is the increase or decrease in the size of an figure or object.

A dilation with a scale factor of 2 is applied to the three line segments shown to form P'Q', A'B', and M'N'.

Hence:

P'Q' = scale factor * PQ = 2 * 2 = 4 cm

A'B' = 2 * 1.5 = 3 cm

M'N' = 2 * MN = 2 * 3 = 6 cm

The value of the dilated line segments P'Q', A'B' and M'N' are 4 cm. 3 cm and 6 cm

Find out more on dilation at: https://brainly.com/question/10253650

please help, what would the answer be?

Answers

27/3 = 9ft


3 x 2 = 6

Scale is 1:2 ratio

9 x 2 = 18ft

18 x 6 = 108ft

The answer is probably 108ft, there are no given scale ¯\_(ツ)_/¯

Find the volume of the prism.

Answers

Answer:   The formula for the volume of a prism is obtained by taking the product of the base area and height of the prism. The volume of a prism is given as V = B × H where, "V" is the volume of the prism, "B" is the base area of the prism, and "H" is the height of the prism.

If VZ=p–7 and WY=p–21, what is the value of p?

Answers

Answer:

p = 35

Step-by-step explanation:

the midsegment WY is half the measure of VZ , that is

WY = [tex]\frac{1}{2}[/tex] VZ ( substitute values )

p - 21 = [tex]\frac{1}{2}[/tex] (p - 7) ← multiply through by 2 to clear the fraction

2p - 42 = p - 7 ( subtract p from both sides )

p - 42 = - 7 ( add 42 to both sides )

p = 35

If the value 0.125 is rewritten as X%, what is the value of ?

Answers

the value of 0.125 should be rewritten as the value of 12.5%

Answer:

12.5%

Step-by-step explanation:

0.25  * 100

= 12.5%

What is 5 x 3/20 as a fraction in its simplest form

Answers

Answer:

  3/4

Step-by-step explanation:

You can form the product, then cancel common factors, or you can cancel common factors before you form the product.

__

  [tex]5\times\dfrac{3}{20}=\dfrac{15}{20}=\dfrac{3\cdot5}{4\cdot5}=\boxed{\dfrac{3}{4}}\\\\\textsf{or ...}\\\\5\times\dfrac{3}{20}=\dfrac{5}{20}\cdot\dfrac{3}{1}=\dfrac{1}{4}\cdot\dfrac{3}{1}=\boxed{\dfrac{3}{4}}[/tex]

What is the slope-intercept equation for this line?

Answers

Answer:

y=-2x-1

Step-by-step explanation: This is because of rise/run. This means rise, count up or down until you hit the line that is horizontal to where your line intersects a whole point. Then run, what you count horizontal matches with your rise count. This means we can count 2/1 and since it's going down it's negative. So the slope is -2 and the y-intercept is -1 because it intersects through the y-intercept -1.

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