Solve for x.

5(x – 10) = 30 – 15x

Answers

Answer 1

Answer:

x=4

Step-by-step explanation:

[tex]\sf 5(x - 10) = 30 - 15x[/tex]

[tex]\sf 5x-50=30-15x[/tex]

[tex]\sf 5x-50+50=30-15x+50[/tex]

[tex]\sf 5x=-15x+80[/tex]

[tex]\sf 5x+15x=-15x+80+15x[/tex]

[tex]\sf 20x=80[/tex]

[tex]\sf \frac{20x}{20}=\frac{80}{20}[/tex]

[tex]\sf x=4[/tex]


Related Questions

Find the measurements of angle WXZ, XZW, and XWZ

Answers

Answer:

WXZ = 123

XZW = 28.5

XWZ = 28.5

Step-by-step explanation:

Marian asked 25 students the following questions in a survey.
1. Are you male or female?
2. Do you wear glasses?
Marian's results are shown below.
There were a total of 15 female students who were surveyed.
• There were 17 students who wear glasses.

Answers

Answer:

Step-by-step explanation:

25+ POINTS WILL MARK BRAINLIEST

Answers

Answer:

Point A = (-6,0)

Point B = (0,4)

Answer:

Your Answer is this

Step-by-step explanation:

help me plzzzzzzzzzzz

Answers

Answer:

Top row, third one from left to right

Step-by-step explanation:

Use test points:

when x = 0 , y = 2(0) - 4 = 0 - 4 = -4

(0, -4)

when y = 0, 0 = 2x - 4, 4 = 2x, 2 = x

(2, 0)

Top row, third one from left to right

A pile of newspapers in Ms.
Clark's room was 7inches
high. If the pile increased in
height by 4 inches each
week. What is the height of
the pile after 4 weeks?

Answers

Answer:

4*4=16+7=23

Step-by-step explanation:

4 inches x 4 weeks is 16 inches

7 + 16 = 23

Find A^c U B if sample space S = {1 to 20}, A = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, and B = {2, 4, 6, 8, 7, 10, 12, 14, 16, 18}

Answers

Answer:

Step-by-step explanation:

S={1,2,...,20}

A={1,2,3,4,5,6,7,8,9,10}

A^c={11,12,13,...,20}

B={2,4,6,8,7,10,12,16,18}

A^cU B={2,4,6,7,8,10,11,12,13,14,15,16,17,18,19,20}

find the vertex and the x-inter of the function given below. y = x^2 + 2x + 6

Answers

Answer: Vertex = (-1, 5) x-intercepts = No real solutions

Step-by-step explanation:

Vertex = -2/2= -1

-1^2 + 2(-1) +6

1 -2 +6

-1 +6

=5

Discrminats= 2^2 -4(1)(6)

4 -4(1)(6)

4-24

= -20 (It's a negative so there's no real solutions, meaning there's no xintercepts/R0XS)

please help thank you i will give brainliest for the first correct answer

Answers

Answer:

Step-by-step explanation:

Answer:

79, I hoped that helped:)

In the triangle above a = 12 and c = 26. Find the value of b to the nearest hundredth.

Answers

23.07 is the answer

If we have a ratio of 5:1 boys to girls in the class and there are only 5 girls in the class, How many boys are there in the class?

Answers

Answer:

25

Step-by-step explanation:

5x5=25

Hope this helps! :)

Answer:

25 boys

Explanation:

Because if there are 5 girls in the class then that means that you have to multiply the ratio of 5:1 by 5, which equals 25:5, meaning there’s 25 boys in the class.

Charlie's garage has a rectangular floor space. Its length is 3 times its width. Charlie extends the width of his garage to 6 m, providing a floor area of 45 m2. what is the percentage

Answers

Answer:

The percentage change is 140%

Step-by-step explanation:

Given

[tex]L= 3W_1[/tex] ---- initial dimension

[tex]W_2 = 6m[/tex] --- new width

[tex]A_2 = 45m^2[/tex] --- new dimension

Required

The percentage increment

The length remains constant because only the width is extended.

The new area is:

[tex]Area =Length * Width[/tex]

[tex]A_2=L * W_2[/tex]

Make L the subject

[tex]L = \frac{A_2}{ W_2}[/tex]

Substitute values for A and W

[tex]L = \frac{45m^2}{6m}[/tex]

[tex]L = \frac{45m}{6}[/tex]

[tex]L = 7.5m[/tex] --- this is the length of the garden

Calculate the initial width:

[tex]L= 3W_1[/tex]

Make W1 the subject

[tex]W_1 = \frac{1}{3} * L[/tex]

[tex]W_1 = \frac{1}{3} * 7.5[/tex]

[tex]W_1 = 2.5[/tex]

So, the initial area is:

[tex]A_1 = L_1 * W_1[/tex]

[tex]A_1 = 2.5 * 7.5[/tex]

[tex]A_1 = 18.75[/tex]

The percentage change in area is:

[tex]\%A = \frac{A_2 - A_1}{A_1}[/tex]

[tex]\%A = \frac{45 - 18.75}{18.75}[/tex]

[tex]\%A = \frac{26.25}{18.75}[/tex]

[tex]\%A = 1.4[/tex]

Express as percentage

[tex]\%A = 1.4*100\%[/tex]

[tex]\%A = 140\%[/tex]

if def geh solve for x

Answers

Answer:

huh???

Step-by-step explanation:

The answer is x I guess

What are the real roots of the function in the graph?

Answers

Answer:

-1 and 3

Step-by-step explanation:

The real roots of a function are located where the function passes through the x-axis. In this case, the function passes through x=-1 and x=3, making them the real roots of the function.

Solve for all values of x by factoring x² + 6x = 0

Answers

Answer:

Solution given;

x² + 6x = 0

taking x common

x(x+6)=0

either

x=0

or

x+6=0

x=-6

:.x=0 or -6.

Answer:

0 and -6

Step-by-step explanation:

Factor and find the zeros of the equation or graph the line to find the x-intercepts.


2w - 5 = 8

W =

Plllssssss helppoo

Answers

Answer:

w = 13/2 or 6.5

Step-by-step explanation:

2w - 5 = 8

Add 5 to each side

2w - 5+5 = 8+5

2w = 13

Divide by 2

2w/2 = 13/2

w = 13/2 or 6.5

Answer:

13/2

Step-by-step explanation:

the steps are in the screenshot attached.

8. Ethan has $63 in his bank account at the
end of June. During the month of June, he
deposited $285 and wrote cheques for $85,
$41, and $9. As well, he withdrew $75
from a bank machine.
a) Write an integer to represent the
value of Ethan's bank account at
the beginning of June.

Answers

Answer:

-$12

Step-by-step explanation:

Working backwards from the $63, you need to add back what was withdrawn and subtract what was deposited.

63+75+9+41+85-285= -$12

which value from the set{2,14,16,63}makes the equation n-7=9 true

Answers

Answer:

16.

Step-by-step explanation:

n - 7 = 9

Add 7 to both sides

n = 9 + 7 = 16.

Answer:

16

Step-by-step explanation:

Given

n - 7 = 9 ( add 7 to both sides )

n = 16

1. A quadratic equation can have all of the following number of solutions except
d,
b.
Zero
One
Infinite
Two
c.
a

Answers

You cannot have infinite solutions.

Tell whether the triangle with the given side lengths is a right triangle.
28, 45,54
The answer is yes or no

Answers

Answer:

No

Step-by-step explanation:

Can someone please help me

Answers

Answer:

Her monthly rate per month is $12

Step-by-step explanation:

On the 0 month is what she already had in her bank account.

Also the months are going by 2's so it's going by $24 dollars every 2 months, so 24 divided by 2 is 12.

What is the approximate area is the shaded sector in the circle shown below?

Answers

Answer:

B.

Step-by-step explanation:

1) the area of the given circle is: A=π*r²=256π (in²).

2) the part of the shaded sector is 110/360=11/36, it means that the required area of the shaded sector is: 11/36 * A = 256* π * 11 / 36≈246 (in²).

Can someone help me with this, Thx!

Answers

Answer:

x = 45

Step-by-step explanation:

x = 20 + 25

as x is vertically opposite to GED

and vertically opposite angles are equal

area of the triangle ABC ​

Answers

Answer:

180

Step-by-step explanation:

hope this answer be right :)

Each day, Deanne starts working at 10:00 a.m. and Stephanie starts working at noon. At which time each day are the earnings for Deanne equal to the earnings for Stephanie?​

Answers

Answer:

Time when both earnings are equal = 5:00 Pm

Step-by-step explanation:

Given:

Total earning of Deanne = 6.50x

Total earning of Stephanie = 9.10(x -2)

Work started at 10:00 am

Find:

Time when both earnings are equal

Computation:

Total earning of Deanne = Total earning of Stephanie

6.50x = 9.10(x - 2)

6.5x = 9.1(x-2)

6.5x = 9.1x - 18.2

9.1x - 6.5x = 18.2

2.6x = 18.2

x = 18.2 / 2.6

x = 7 hour

So,

Time when both earnings are equal = Work started at 10:00 am + 7 hour

Time when both earnings are equal = 5:00 Pm

58:36
If Zöe orders a book from Store Y, how much tax will she pay?
Comparison of Online Bookstores
Store X
Store Y
Cost of book
$17.00
$18.00
Tax rate
6%
8%
Shipping
10% of cost before tax
FREE
$1.44
$2.25
O $12.25
O $14.40

Answers

Answer:

$1.44

Step-by-step explanation:

Tax is a compulsory sum levied by the government. it increases the price of the good

tax paid = tax rate x price of the book

18 x 8%

18 x 0.08 = $1.44

If someone could help that would be great. Brainliest and thanks!

Answers

Answer:

D does not show an equivalent rate

Step-by-step explanation:

we first need to find out how many words typed per minute so we divide 75 by 3 (3 divided by 3 is 1 and what we do to one side must be done to the other)

75 ÷ 3 = 25

25 word per 1 minute

now we need to multiply the minute by 25 to get the number of words typed

25(words) x 1(minute) = 25 words in 1 minute(so A is correct)

25(words) x 2(minute) = 50 words in 2 minutes(so B is correct)

25(words) x 4(minute) = 100 words in 4 minutes (so C is correct)

25(words) x 5(minute) = 125 words in 5 minutes(so D is incorrect)

If f(x) = 2x - 6 and dx) = 3x + 9, find (f - g(x).
O A. (f- g)(x) = -x- 15
O B. (f- g)(x) = x + 15
O C. (f- g)(x) = -x+ 3
O D. (f - g)(x) = 5x + 3

Answers

Answer:

A

Step-by-step explanation:

Given that f(x) is 2x-6, and g(x) is 3x+9, all we have to do is subtract in order to find (f(x)-g(x)):

[tex](f(x)-g(x))=\\\2x-6-(3x+9)=\\2x-6-3x-9=\\-x-15[/tex]

[tex]\fbox{A}[/tex]

I hope this helps! Let me know if you have any questions :)

a + x = -3 với a = 5 . Tìm x

Answers

Answer:

the answer is if a=5

than, 5+x=-3

or,x=-3-5

therefore x=-8

Answer:

[tex]x = - 8[/tex]

Step-by-step explanation:

[tex]a + x = - 3[/tex]

[tex]5 + x = - 3[/tex]

[tex] x = - 3 - 5[/tex]

[tex]x = - 8[/tex]

Hope it is helpful...

square in inches, x, and the perimeter of the square in inches, y. What is the constant of proportionality?

Answers

Answer:

y/x

Explanation:

The constant of proportionality defines two directly proportional quantities that decrease or increase proportionally/same rate.

Given constant of proportionality= k

Side of the square= x

Perimeter of the square= y

constant of proportionality=k=y/x

For example if perimeter of square is 8 and side of square is 2, constant of proportionality is 8/2=4

Help me with area, please.

Answers

Answer:

Num. 2: A = 25, Num. 3 = 63, Num. 4 = 80

Step-by-step explanation:

I'll help with as many as I can, so a few of them I won't be able too answer. You should re-post those later. Good luck, hope this helps.

For number 2:

First, turn the triangle into a rectangle by cutting it in half and attaching it to the other half so it forms a rectangle.

Since you cut the triangle in half, you also have to split 5 in half, so the bottom length is now 2.5.

Now, simply multiply 2.5 by 10, and you have the area for number 2.

The area for number 2 is 25.

For number 3:

This one is much easier. Just think of the shape as a normal square that has been tipped to the side. That means that you would solve for area the same way: 9 x 7, which means that the area for number 3 is 63.

For number 4:

This one is also easy. Simply cut, and paste. Now the right side is 10, and the top side is 8. Multiply, and the area will be 80 m.

Please re-post 1 and 5, as I am not able to solve them. Sorry this answer took so long!

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