Solve the system of equations..
y=x +45
y= 5x + 13

Answers

Answer 1

Answer:

x = 8

y = 53

Step-by-step explanation:

Sub y = x + 45 into the second equation

x + 45 = 5x + 13

Rearrange by collecting the like terms

45 - 13 = 5x - x

32 = 4x

Divide both sides by 4

x = 8

Sub x = 8 into first equation (y = x + 45)

y = 8 + 45

y = 53

Answer 2
X=8 and Y =53 are the values

Related Questions

(5x - 5)
(6y - 4)
(4x + 10)
Find the value of the variables in the figure.
x =
y =

Answers

Answer:

what are they equal to I can solve if that info is not given

-3y=15
What is the slope of the line?

What is the y-int?

What is the x-int?

What is the zero?

Answers

Answer:

the slope of the line is 0

the y-int is -5

there is no x int since the is no slope

sorry about the last one, i forgot what the zero is

Sewing patterns recommend buying extra fabric in case of mistakes. Jessica bought 5 yards of fabric , plus 20 % extra . How much fabric did Jessica buy ?

Answers

Answer:

Jessica bought 2.25 yards more material than Derek.

Step-by-step explanation:

Factor the expression completely.

7x - x2

Answers

Answer:

x(7 - x)

Step-by-step explanation:

Given

7x - x² ← factor out x from both terms

= x(7 - x) ← in factored form

z=−45i−15.5 what are the imaginary parts

Answers

Answer:

-45i

Step-by-step explanation:

i is an imaginary number so the answer should be -45i, I hope this helps :)

Derek is going to lay grass in a
rectangular space that measures
8. by 32 feet. Find the total area
that will be covered by grass?
THE ANSWER CHOICES ARE IN THAT PICTURE I PUT

Answers

Answer:

Step-by-step explanation:

i'd say either 29 1/6 or 32.53

Greta uses 8 ounces of pasta to make 8/9 of a serving of pasta. How many ounces of pasta are there per serving?​

Answers

Answer:

I think you need to multiply to get the answer, since there's a keyword that it's "per"

Step-by-step explanation:

Divide and then Multiply

8/9 = 0,8

0,8 x 8 = 6,4

(I think that's the answer, hope I helped you)

PLEASE HELP ME!

Your health insurance premium is $102.13 each check. You get paid semi-monthly. How much is your insurance premium annually?

A. $2,451.12
B. $2,655.38
C. $1,225.56
D. $102.13​

Answers

The answer is c because you add 102 and multiply it by 12

The annually premium for health insurance will be $2,451.12.

Option A is true.

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

The health insurance premium is $102.13 each check.

And, We get paid semi-monthly.

Hence, Monthly premium = 2 x $102.13

                                        = $204.26

Since, 1 year = 12 months

Thus, The annually premium = 12 x $204.26

                                            = $2,451.12

So, The annually premium for health insurance will be $2,451.12.

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A triangle has angle measures 23° and 35°. What is the measure of the third angle

Answers

The angles in a triangle add up to 180 degrees, so the third angle must be 180 - 23 - 35 ---> 157 - 35 --> 122.

122 degrees.

Hope this helps!

The measure of the third angle is 122° and the triangle is an obtuse angle triangle.

What is a triangle?

A triangle is a 2D figure joined by the lines of three non-colinear points.

There are three types of triangles they are:- Equilateral triangle, Isosceles triangle, and Scalene triangle.

We know that sum of all the interior angles of a triangle is 180°.

Given two angles which measure 23° and 35° and assuming the third angle to be x°.

∴ 23° + 35° + x° = 180°.

58° + x° = 180°.

x = 180° - 58°.

x = 122°.

We can conclude that the triangle is an obtuse angle triangle.

learn more about triangles here :

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You start at (3, 0). You move down 5 units and right 1 unit. Where do you end?

Answers

Answer:

Pretty sure it's (4, -5)

Step-by-step explanation:

If not, shoot me I guess.

c - 2.3 = - 5.1

C = ???

Answers

C = 2.8
-2.3 + 5.1 = 2.8

11) g= y - xc , for x

Answers

x= -g/c + y/c is the answer

Multi Step Problem (Show work!!)

Y + 7 = -2​

Answers

Answer:

y = -9

Step-by-step explanation:

Step 1: Write equation

y + 7 = -2

Step 2: Solve for y

Subtract 7 on both sides: y = -9

Step 3: Check

Plug in y to verify it's a solution.

Substitute: -9 + 7 = -2Add: -2 = -2

12
Х
18
x=
TO
This is 7th grade math

Answers

What’s the math called?

Rewrite the equation below so that it does not have fractions.
Do not use decimals in your answer.

Answers

Answer:

x=17/14

Step-by-step explanation:

(7/9)x+2=(5/6)

18 is the least common multiple between 9 and 6, so we can multiply each fraction by 18.

7           18              126

----   *    ------   =     --------    =     14

9            1                9

14x+2=(5/6)

5            18             90

----     *   ------    =   ---------     =     15

6             1                6

14x+2=15

     +2 +2

14x=17

x=17/14

Hope this helps!

3y-9x=21
standard to slope intercept simplified

Answers

Answer:

y=3x+7  I think

hope this helps!

Answer:

[tex]y=3x+7[/tex]

Step-by-step explanation:

[tex]y=mx+b[/tex]

[tex]3y=9x+21[/tex]

[tex]\frac{3y}{3}=\frac{9x}{3} +\frac{21}{3}[/tex]

[tex]y=3x+7[/tex]

What is the value of x in the equation x + 5.1 = 0

Answers

Answer:

-5.1

Step-by-step explanation:

x + 5.1 = 0

   - 5.1   -5.1

 x + 0  =  -5.1

x = -5.1

The value of x is -5.1

Given,

x + 5.1 = 0

We need to find the value of x.

How do we find the value of a variable in an expression?

We always keep the required variable on one side and keep all the other variables on the other side of the equation.

Example:

x + b + n = 2 + 2x

We need to find x.

Since we have two x terms

We will keep both the terms on one side.

b+ n - 2 = 2x - x

2x - x = b + n -2

x = b + n - 2 is our x value.

We have,

x + 5.1 = 0

Subtracting 5.2 on both sides.

x + 5.1 - 5.1 = 0 - 5.1

x = - 5.1

Thus the value of x is -5.1

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Select the correct answer.

How many solutions for x does the following equation have ?
2/3(6x + 6 ) = 4x + 4

Answers

Answer:

X has infinite solutions because no matter what value you plug in for x, both sides will always be equal.

Step-by-step explanation:

2) Domain
Range
Function?

Answers

Answer:

domain range edge trangle

Domain is all real numbers

It is a function

Continuous

Range im not sure

Multiply 7*43, select True or False for each statement.
Using partial Products, the products are 21 and 28
Using regrouping, 21 ones are regrouped as 1 ten and 2 ones.

Answers

Answer:

301

Step-by-step explanation:

7x3 + 7x4 and add a 0 on to the end

GIVING BRAINLIEST!!! PRETTY SIMPLE QUESTION!!!

Mei subscribed to a magazine at a rate of $24 for 12 issues. When she placed her order, Mei used a coupon that added 3 free bonus issues to her subscription. How did the coupon impact the cost per issue of Mei’s subscription?

O The coupon lowered the cost per issue by $0.40.
O The coupon lowered the cost per issue by $1.38.
O The coupon raised the cost per issue by $0.13.
O The coupon raised the cost per issue by $0.67.

Answers

Answer:

A

Step-by-step explanation:

Originally, Mei pays $24 for 12 issues.

Therefore, the cost per issue is:

[tex]c=\frac{\$24}{12\text{ issue}}=\$2\text{ per issue}[/tex]

With the coupon, Mei pays the same amount of $24 but for 15 issues.

So, the cost per issue now is:

[tex]c=\frac{\$24}{15\text{ issues}}=\$1.60\text{ per issue}[/tex]

Therefore, the coupon lowered the price of the issue by $0.40.

Our answer is A.

Answer: The coupon lowered the cost per issue by $0.40.

Original price of issue: $2

24 ÷ 12 = 2

Mei added 3 more issues, but she still pays $24.

The answer is A.

Hope this helps you!

Question 1 please. Please help

Answers

Answer:

74.22

Step-by-step explanation:

52.39+21.83=74.22

Multiply. Enter the product in simplest form.
3/4 x 2

Answers

Answer:

3/2 = 1 1/2

Step-by-step explanation:

3/4 * 2

Make 2 a fraction

3/4 * 2/1

Rewrite

3/1 * 2/4

3/1 * 1/2

Multiply

(3*1)/(2*1/)

3/2

Changing from a fraction to a mixed number

1 1/2

Write a linear function f with f(0)=3 and f(−6)=3

Answers

Answer:

y = 3

Step-by-step explanation:

Slope = 0/-6 = 0

y-int. = 3

The linear function [tex]f[/tex] with [tex]f(0) = 3[/tex] and [tex]f(-6) = 3[/tex] is [tex]y = 3[/tex].

Given two distinct points on cartesian plane, we can determine the linear function associated to those points as follows:

[tex]y = m\cdot x + b[/tex] (1)

[tex]m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex] (2)

[tex]b = y_{1}-m\cdot x_{1}[/tex] (3)

If we know that [tex]f(0) = 3[/tex] and [tex]f(-6) = 3[/tex], then we have the linear function below:

[tex]m = \frac{3-3}{0-(-6)}[/tex]

[tex]m = 0[/tex]

[tex]b = 3 - 0\cdot (0)[/tex]

[tex]b = 3[/tex]

The linear function [tex]f[/tex] with [tex]f(0) = 3[/tex] and [tex]f(-6) = 3[/tex] is [tex]y = 3[/tex].

We kindly invite to check this question on linear functions: https://brainly.com/question/19137465

Mr. Lin received a box of books in the shape of a rectangular prism. The volume of the box is 486 in 3. What is the width of the

box?

18 in.

Use the formula W=Th, where l is the length of the prism, h is the height, V is the volume, and w is the width.

6 inches

9 inches

27 inches

81 inches

Mark this and return

Save and Evi

Answers

Answer:

W = 9 inches.

Step-by-step explanation:

The volume of a rectangular prism is given by

[tex]V=whl[/tex]

Where

w,h and l re width, height and length of rectangular prism

It is not mentioned that a box has a length of 18 inches and a height of 3 inches.

Using above formula.

[tex]486=w\times 18\times 3\\\\486=54w\\\\w=9\ \text{inches}[/tex]

So, the width of the box is 9 inches.

Mia says that when you rearrange 3a - p = m to make a the subject of the formula you get:
a = m - p / 3
Mia is wrong. Explain and show her how to do the
question correctly.​

Answers

Answer:

[tex]a =\frac{m+p}{3}[/tex]

Step-by-step explanation:

[tex]3a - p = m[/tex]

→ First plus p to both sides to isolate 3a

[tex]3a = m+p[/tex]

→ Divide both sides by 3 to isolate a

[tex]a =\frac{m+p}{3}[/tex]

Answer:

see explanation

Step-by-step explanation:

Mia is wrong in that she has subtracted p from both sides instead of adding p to both sides.

Given

3a - p = m ( add p to both sides )

3a = m + p ( isolate a by dividing both sides by 3 )

a = [tex]\frac{m+p}{3}[/tex]

find the value
f(-7)

Answers

Answer:

-7f

Step-by-step explanation:

move -7 to the left of f

PLEASE SOMEONE HELPP ASAP

Answers

Ok the answer is 6 3/4

Gerardo’s texting plan cost $20 per month, +0.05 per text message that is sent or received. Amelia’s plan cost $10 per month and $0.25 per text. Using the graph below, which statement is true?

Answers

Step-by-step explanation:

Let's turn that into a linear system:

\{ {{y=0.05x+20} \atop {y=0.25x+10}} .{y=0.25x+10y=0.05x+20.

Set the equations equal to each other and solve:

0.05x+20=0.25x+100.05x+20=0.25x+10

0.2x=100.2x=10

x=50x=50

We then plug in to get yy :

0.25(50)+10=22.50.25(50)+10=22.5

The solution to the system is \{ {{x=50} \atop {y=22.5}} .{y=22.5x=50. .

Now, let's turn our attention to the statements.

The first one is false: Emilia's rate is higher, and the two plans cost the same at 50 texts, after which point Hiroto's plan becomes cheaper!

The second one is also false: we already figured out that the lines intersect at x=50x=50 .

The third statement is also false: as above, the lines intersect at x=50x=50 .

The fourth statement is true: the lines intersect at x=50x=50 .

In conclusion, the fourth statement - "Both plans cost the same when 50 texts are sent" - is true.

Cred to ultroid

Yesterday, Kate gave exactly fourteen haircuts
and made $50.00. If she charged $5.00 for adults'
haircuts and $2.50 for children's haircuts, how
many children's haircuts did she give?
A) 5
B) 6
C) 7
D) 8

Answers

Answer:

D) 8

Step-by-step explanation:

8 x 2.5 = 20

and the rest is adult haircuts

6 x 5 = 30

Answer:

D) 8 Children’s Haircuts

Step-by-step explanation:

Let a represent the amount of adult haircuts and c represent the amount of child haircuts.

We know that she gave exactly 14 haircuts. So:

[tex]a+c=14[/tex]

We also know that she made $50.00. Therefore, the price of each haircut times their respective amounts will total $50. So:

[tex]5a+2.5c=50[/tex]

This is now a system of equations.

We can solve this using substitution. From the first equation, let’s subtract c from both sides:

[tex]a=14-c[/tex]

Now, we can substitute this into the second equation for a. This yields:

[tex]5(14-c)+2.5c=50[/tex]

Distribute:

[tex]70-5c+2.5c=50[/tex]

Combine Like Terms:

[tex]70-2.5c=50[/tex]

Subtract 70 from both sides:

[tex]-2.5c=-20[/tex]

Divide both sides by -2.5:

[tex]c=8[/tex]

Therefore, Kate gave 8 children’s haircuts.

This means that she gave [tex]14-8=6[/tex] adult haircuts.

So, our answer is D. She gave 8 children’s haircuts.

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