Show all work necessary to solve each problem.
1. Solve the following equation step by step. Write a reason for each step-
2(x-18)+ 3x = 24

Answers

Answer 1

Answer:

x = 12

Step-by-step explanation:

2(x-18)+ 3x = 24
distribute the 2
2x - 36 + 3x = 24
combine like terms
5x - 36 = 24
+ 36 on both sides
5x = 60
divide by 5
x = 12


Related Questions

if [tex]v=v_{1} +v_{2}[/tex], where [tex]v_{1}[/tex] and [tex]v_{2}[/tex] are not both 0 and [tex]u=-3v[/tex], find the measure of the angle between [tex]u[/tex] and [tex]v[/tex].
Given:
[tex]\frac{u*v}{||u|| ||v||}[/tex]

Answers

If θ is the angle between u and v, then

u • v = ||u|| ||v|| cos(θ)

Since u = -3v, we have

u • v = (-3v) • v = -3 ||v||²

and

||u|| = ||-3v|| = 3 ||v||

If v₁ and v₂ are both not zero, then ||v| ≠ 0.

Then

cos(θ) = (-3 ||v||²) / (3 ||v|| ||v||) = 1

which means θ = π rad = 180°.

Suppose y varies directly with x. If y is 8 when x is 12, find y when x is 18.​

Answers

[tex]\large\textsf{\textbf{Answer\::}}[/tex]

Please consult the "calculations" section of this ans .

[tex]\large\textsf{\textbf{Calculations\::}}[/tex]

If y varies directly with x , the equation looks like this :

y=kx , where k is the constant of proportionality

Plug in the values :

8=k/12

Multiply times 12 on both sides :

96=k

So the constant of proportionality is 96 .

Now solve for y when x is 18 as follows :

y=96/18

y≈5.33

[tex]\footnotesize\texttt{hope\:helpful~}[/tex]

Suppose angle A and angle B are supplementary.

The measure of angle A is (15x + 65) and the measure of angle B is (50x - 15).

Solve for x (showing your setup and work) and then find the measure of angle A and the measure of angle B

Answers

Answer:

x = 2

Angle A = 95°

Angle B = 85°

Step-by-step explanation:

Concepts

Supplementary angles are angles that sum up to 180° to form a straight angle.

Application

We are asked to find the value of x, Angle A, and Angle B. We are given angles A and B as 15x + 65 and 50x - 15. To do this, we can set up the equation 15x + 65 + 50x - 15 = 180 because we know these angles are supplementary, or adding to 180°. Then, once we get the value of x, we plug in that value for each angle.

Solution

Step 1: Simplify both sides.

[tex](15x+50x) +(65-15)=180[/tex] [tex]65x+50=180[/tex]

Step 2: Subtract 50 from both sides.

[tex]65x+50-50=180-50[/tex] [tex]65x=130[/tex]

Step 3: Divide both sides by 65.

[tex]65x/65 = 130/65[/tex] [tex]x=2[/tex]

Step 4: Plug x into angle A.

[tex]15(2)+65 = 30 + 65 = 95[/tex]

Step 5: Plug x into angle B.

[tex]50(2) - 15 = 100 - 15 = 85[/tex]

80% of what number is 52

Answers

41.6

Because 80% goes in 50, 40 times

HELP PLEASEE!!!!!!!!!! ASAP!!!!!!!!!!!!!!!!

Answers

Answer:

the answer is C

Step-by-step explanation:

i know because I did this

Answer:

(2,3)

Step-by-step explanation:

if the square rotated 90 degrees clockwise, it would go to the otherside of the y-axis and B' would end up on 2,3

There were 93 students out of school of this is 12 % of the total number of students how many students are enrolled at the school

Answers

Answer:

the mid point of

a line segment is M(-3,2)one end point of the segment isP(1,-3)find the coordinates of the end point

Multiplication Equations
Solve the equation. Check your
solution.
1) 6n = 42
2) 3y = 192
3) 8x= 72
4) 4 = 2a
5) 7n = 112
6) 8x = 272
7) 7n = 49
8) 33y = 66
9) 6b = 96
10) 5n = 280
11) 6n = 72

Answers

Answer:

use calculator on chrome it will help u :)

Step-by-step explanation:

because then u do'nt have to wait for the answer

Answer:

Step-by-step explanation:

1) n=7

2)y=64

3)x=9

4)a=2

5)n=16

6)x=34

7)n=7

8)y=2

9)b=16

10)n=56

11)n=12

help meee :))) GIVING BRAINEST

Answers

Answer:  462 cm^3

Step-by-step explanation:

formula for triangular prisms:

0.5*b*h = V

b or base = 6*6 cm

h or height = 7 cm

7 * 6 * 6 * 0.5 = 126

V or Volume of triangular prism is 126 cm^3.

formula for rectangular prisms:

b * h = V

b or base = 8*6 cm

h or height = 7 cm

8 * 6 * 7 = 336

V or Volume for rectangular prism is 336 cm^3.

Total Volume of Composite Figure = sum of both Volumes

336 + 126 = 462 cm^3.

Volume of the triangular prism:

[tex]v = a \times b \times h \times \frac{1}{2} [/tex]

[tex]v = 6 \times 6 \times 7 \times \frac{1}{2} [/tex]

[tex]v = 126 \: {cm}^{3} [/tex]

Volume of the rectangular prism:

[tex]v = whl[/tex]

[tex]v = 7 \times 8 \times 6[/tex]

[tex]v = 336 \: {cm}^{3} [/tex]

Total volume:

[tex]v = 126 + 336[/tex]

[tex]v = 462 \: {cm}^{3} [/tex]

ANSWER FAST PLEASSEEEEE
The information in the table shows the average weekly temperatures in degrees Fahrenheit of four cities.

Which city’s data set is bimodal?
A. City A
B. City B
C. City C
D. City D

Answers

Finding the mode of each data-set, the bimodal city's data is given by:

C. City C.

What is the mode of a data-set?

It is the value that appears the most times in the data-set. If two values appear the same number of sets, the data-set is called bimodal.

Hence, looking at the table:

For City A, 10 appears three times, hence it is the only mode.For City B, 25 appears five times, hence it is the only mode.For City C, 42 and 66 each appear three times, hence they are the modes, and the data-set is bimodal.For City D, 78 appears three times, hence it is the only mode.

Hence option C is correct.

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the solution set of |R-3| = 10 is

Answers

[tex]~~~~~~|R-3| = 10\\\\\implies R -3 = 10~~~~~~ \text{or}~~~~~~~R -3 = -10\\\\\implies R = 10+3~~~~~~\text{or}~~~~~~~R = -10+3\\\\\implies R = 13~~~~~~~~~~~ \text{or}~~~~~~~R = -7\\\\\text{Solution set:} ~\{-7,13\}[/tex]

do yall know what the answer is (2x)(10x)

Answers

Answer:

20x^2

Step-by-step explanation:

2*x*10*x

20*x^2

20x^2

Answer:

[tex]20x^2[/tex]

Step-by-step explanation:

Step 1:  Multiply

[tex](2x)(10x)[/tex]

[tex]2x * 10x[/tex]

[tex](2*10)*(x*x)[/tex]

[tex](20)*(x^2)[/tex]

[tex]20x^2[/tex]

Answer: [tex]20x^2[/tex]

23. Tyrese is making a map of his neighborhood using
a coordinate plane. He plots the following
locations
• His home is at the origin
• The school is at (4,5)
• The zoo is at (-3,2).
. The park is at (-4,-4). /
• The grocery store is at (4.-1)./
Plot the locations on the coordinate plane. If each unit
of the coordinate plane represents 750 feet, what is the
distance from the school to the grocery store?
The distance from the school to the grocery store is
feet.

Answers

The distance between the school and the grocery store is 3,000ft.

What is the distance from the school to the grocery store?

First, we need to find the distance between the two locations, we know that:

School is at (4, 5)Grocery store is at (4, -1)

The distance between these two points is:

[tex]d = \sqrt{(4 - 4)^2 + (5 - 1)^2} = 4[/tex]

And we know that each unit represents 750ft, then we can see that the total distance is:

d = 4*750ft = 3,000ft

And the graph of the 4 points can be seen below.

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The distance between the school to the grocery store is 4500 feet.

What is a coordinate plane?

A coordinate plane is a two-dimensional plane produced by the intersection of the x-axis and the y-axis on the graph.

We are to represent the given data on the graph which can be seen in the image below.

His home is at the originThe school is at (4,5)The zoo is at (-3,2).The park is at (-4,-4).The grocery store is at (4.-1)

From the image attached below, there are 6 unit differences showing the distance from the school to the grocery store. If each unit in the coordinate plane represents 750 feet.

Thus, 6 units will be = 6 × 750 = 4500 feets

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what are the zeros of the function represented by the quadratic expression 2x^2 + x - 3?
A: x= -3/2 and x= 1
B: x= -2/3 and x= 1
C: x= -1 and x= 2/3
D: -1 and x= -3/2

Answers

B: x= -2/3 and x=1 might be the answer

Find the value of x to the nearest tenth!!

Answers

Answer: sqrt(55)
Hypotenuse of triangle on the right is 3sqrt(5) so if you plug that in for b on the triangle on the left you get sqrt(55) for your answer

This table displays the height of a plant seedling as it grows over
Plant Heights
the course of an experiment.
Week
Height (cm)
Select the answers from the drop-down menus to correctly
complete the statements.
0.75
2
0.9
The attribute being measured is
The
3
1.1
unit of measurement is
There is a total of
4
1.25
observatia
Choose.
weeks
1.6
centimeters
2.0

Answers

The attribute being measured is the height of plant seedlings. The unit of measurement is centimeters. There are a total of 6 observations.

What is the information that is being measured?

The table displays weeks and the plant's height. From the table, it can be seen that the height of the plant increases with the passage of time. Thus, the attribute being measured is the height of plant seedlings.

The number of data points on the table is 6. This is the total number of observations.

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Help m knnnnnbbbbbbbbbbbbbbbbbb

Answers

Answer:

25% of the bear getting picked

Step-by-step explanation:

since there are 4 options and we base of 100% we divide by 4 beacsue there are 4 options

100/4 = 25%

Find the total surface area of the following square pyramid

Answers

Answer:

160 cm^2.

Step-by-step explanation:

Surface area = area of base + 4 * area of triangular side.

= 8^2 + 4 * 1/2 * 8 * 6

= 64 + 96

= 160 cm^2.

Answer:

179.38cm²

Step-by-step explanation:

By using the formula, it is 179.38cm.

Suppose that 2 ≤ f '(x) ≤ 4 for all values of x. What are the minimum and maximum possible values of
f(5) − f(1)?

Answers

Answer:

Step-by-step explanation:

By the Mean Value Theorem, there is at least one number, c, in the interval (1,6) such that

f'(c) = [f(6) - f(1)]/ (6 - 1)

So, f(6) - f(1) = 5f'(c).

Since 2 ≤ f'(c) ≤ 4, 10 ≤ 5f'(c) ≤ 20

So, f(6) - f(1) is between 10 and 20.  

[tex]2\sqrt{3} *3\sqrt{8}[/tex]

Answers

Answer 12 over 6

Explanation
2 over 3 times 3 over 8, simplify it
Then calculate 2 over 3 times 3

there are 1800 pupils in a school of witch 2/5 are girls. 540 of the pupils do not play sports. Of these pupils who do not play sports, 5/9 are girls. How many boys play sports?

Answers

Answer:  840

========================================================

Explanation:

There are 1800 students total.

Take 2/5 of this to find the number of girls

(2/5)*1800 = 720 students are girls

Subtract that result from the total to get the number of boys

1800-720 = 1080 students are boys

We'll use this value later, so let A = 1080.

-------------

540 students do not play sports

(5/9)*540 = 300 girls do not play sports.

540-300 = 240 boys do not play sports

Let B = 240

------------

We found that

A = 1080 boys totalB = 240 boys do not play sports

Therefore,

A-B = 1080 - 240 = 840 boys play sports

8 m
6 m
10 m
6 m
20 m

Answers

Step-by-step explanation:

6 m is the answer of given question

Use an identity to find the value of

Answers

Answer:

[tex] \bigodot\: - \sin\theta.[/tex]

Step-by-step explanation:

We know that:cos (A + B) = cos A . cos B - sin A . sin B

[tex] \implies \cos (\theta +90\degree) =\cos\theta.\cos 90\degree - \sin\theta.\sin 90\degree[/tex]

[tex] \implies \cos (\theta +90\degree) =\cos\theta.0 - \sin\theta.1[/tex]

[tex] \implies \cos (\theta +90\degree) =0 - \sin\theta.[/tex]

[tex] \implies \cos (\theta +90\degree) = - \sin\theta.[/tex]

You have 8 shirts and 5 pairs of pants. How many outfits are there?

Answers

[tex] \huge \tt \color{pink}{A}\color{blue}{n}\color{red}{s}\color{green}{w}\color{grey}{e}\color{purple}{r }[/tex]

[tex] \large\underline{ \boxed{ \sf{✰\:Given }}}[/tex]

➣8 shirts➣5 pairs of pants✛ To find ✛total outfits we can?

[tex] \large\underline{ \boxed{ \sf{✰\: Let's\:solve }}}[/tex]

➣ total number of outfits you can have is

[tex] \rm{➾ \: total \: outfits \: you \: can \: have = \: 8 \: shirts \times 5pairs \: of \: pants} \\ \rm{➾ \: total \: outfits \: you \: can \: have =\: 40}[/tex]

[tex] \rule{70mm}{2.9pt}[/tex]

Hope it helps !

(7z+1) + (-4z-5) simplify

Answers

Use the foil method!

Step-by-step explanation:

[tex] = (7z + 1) + ( - 4z - 5)[/tex]

[tex] = 7z + 1 - 4z - 5[/tex]

[tex] = 7z - 4z + 1 - 5[/tex]

= 3z - 4

hence 3z - 4 is the answer...

hope it helped !!!

equivalent to square root of 5 times the square root of 20

Answers

the answer is ten it's simple to multiply

how me solve this problem please

Answers

Answer:

3 3/4

Step-by-step explanation:

The area of rectangle patio=5 5/8

Length=1 1/2

5 5/8 divided by 1 1/2= 3 3/4

Juan borrowed $10 from his cousin. He borrowed another $30 from his uncle. Juan bought a $10 lottery ticket and won $100. How much money will Juan have after he pays his cousin and uncle back?

Answers

Answer:

$90

Step-by-step explanation:

Since Juan pays back the $10 and $30 he borrowed from his cousin and uncle they do not affect the total outcome ($10+$30-$10-$30=0)

Subtract the price of the ticket from the total amount he won.

$100-$10=$90

Which statements describe the figure on the grid if each square has side lengths of 1 cm? Check all that apply. On a coordinate plane, a figure covers 12 full squares and 12 partial squares. The bottom of the figure is diagonal and crosses 6 squares. The perimeter of the figure is 18 cm. The length of the top of the figure is less than 6 cm. The area of the figure is the sum of 12 full squares and 12 partial squares. The area of the figure is greater than 24 square centimeters. The length of the bottom of the figure is greater than 6 cm. The area of the figure is the sum of 6 full squares and 12 partial squares.

Answers

The figure on the grid is an illustration of areas and perimeters of a shape

How to determine the true statements?

The question is incomplete, as the figure is not given.

So, I will provide a general explanation on how to determine the area and the perimeter of a shape.

The area of a shape is the amount of space on that shape.

Take for instance a square that has a side length 5 units.

The area of the square would be:

Area = 5 * 5 = 25 square units

On the other hand, the perimeter is the sum of the side lengths of the shape.

Using the same square that has a side length 5 units.

The perimeter of the square would be:

Perimeter = 4 * 5 = 20 units

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Answer: its 3, 5

Step-by-step explanation: im honestly not too sure if this is the answer

Find the area of the triangle.

Answers

Answer:

9th ones answer is 4.

10th ones answer is 150 units.

7 the ones answer is 30sq cm.

6th one the statements A and B are right.

8 the ones answer is 240 cm².

A 12-liter container has a pressure of 3 atmospheres.

The container is sent underground, with resulting compression into 6 L.

Applying Boyle's Law, what will the new pressure be? 5 pts.

Explain your steps - 20 pts

Answers

The pressure is 6 atmospheres when the container is sent underground, with resulting compression into 6 L

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Boyle's law is given by:

P₁V₁ = P₂V₂

Where P is pressure and V is volume. Hence:

12(3) = 6 * P₂

P₂ = 6 atm

The pressure is 6 atmospheres when the container is sent underground, with resulting compression into 6 L

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Apply Boyles law

P1V1=P2V212(3)=6P_236=6P_2P_2=6atm
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