2/5 x - 3/2 = 1/4 x + 3/5 ​

Answers

Answer 1

Answer:

x = 14

Step-by-step explanation:

Given

[tex]\frac{2}{5}[/tex] x - [tex]\frac{3}{2}[/tex] = [tex]\frac{1}{4}[/tex] x + [tex]\frac{3}{5}[/tex]

Multiply through by 20 ( the LCM of 5, 2 and 4 ) to clear the fractions

8x - 30 = 5x + 12 ( subtract 5x from both sides )

3x - 30 = 12 ( add 30 to both sides )

3x = 42 ( divide both sides by 3 )

x = 14


Related Questions

ANSWER FOR BRAINLY, Geometry composition of transformations from delta, i believe this is a reflection over the y axis im not sure, but

is it a (translation, rotation, or reflection) include units, and directions. always starts at the origin.

Answers

Answer:

First, reflect across the x-axis. Then, reflect across the y-axis. Or you could switch, doesn't matter.

answer all of them please


easy math questions for 20 points ​

Answers

1) 18
2) 4
3) 60
4) 18
5) 6
6) 4
7) 9
8) 4
9) 4
10) $35
11) 8
12) 9
13) 56
14) 10000
15) 78
16) $50
17) 10
18) 1,2,3,4,6,12
19) 1,2
20) 1000
21) 8
22) 5
23) 12
24) 366
25) 35

A bottle of my favourite drink contains 12% alcohol. On my doctors advice I added 20ml water
to the bottle to reduce the concentration to 10%. What was the quantity of drink in my bottle
initially?

Answers

484848595969696539577589074969594389

Find the Total surface area of the triangular prism below.

Answers

Answer:

The surface area of any prism is the total area of all its sides and faces. A triangular prism has three rectangular sides and two triangular faces. To find the area of the rectangular sides, use the formula A = lw, where A = area, l = length, and h = height. To find the area of the triangular faces, use the formula A = 1/2bh, where A = area, b = base, and h = height. Once you have the areas of all sides and faces, you simply add them together to get the surface area.

Step-by-step explanation:

Formula

Area of a triangle

A = 1/2bh

Area of a rectangle  

A = lw

Surface area of triangular prism  

SA = bh + (s1 + s2 + s3)H

Hope it helps... Please mark as the Brainliest!!!

please help I'll give brainliest

Find the surface area of a number cube if the height is 3cm.

Answers

Answer: 54 cm²

Step-by-step explanation:

To find the area we have to:

1) Multiply 3 x 3= 9 (we do this because a cube has equal sides so if the height is 3 then the base will be 3).

2) Then take 9 and multiply it by the number of sides of a cube (6 sides)

so, do 9 x 6 = 54cm²

Hope that helped! :)

Answer:

54 cm^3

Step-by-step explanation:

here's your solution

==> surface area of cube = 6a^2

==> a = 3 cm

==> surface area = 6*3^2

==> surface area = 6*9

==> surface area of cube = 54 cm^3

hope it helps

solve 3y+1/2x-w=0 for y

Answers

9514 1404 393

Answer:

  y = 1/3w -1/6x

Step-by-step explanation:

Subtract the terms not containing y, then divide by the coefficient of y.

  [tex]3y+\dfrac{1}{2}x-w=0\\\\3y=w-\dfrac{1}{2}x\qquad\text{subtract non-$y$ terms}\\\\\boxed{y=\dfrac{1}{3}w-\dfrac{1}{6}x}\qquad\text{multiply by $\dfrac{1}{3}$}[/tex]

Sasha modeled an expression as shown below.
125
34
х
Which answer choice could NOT represent this expression?
A x + 34 = 125
B
125 - 34 = x
С
125 - X = 34
D
125 + 34 = X

Answers

it should either a or b

if the area of square A is 225 ft2 and the area of square B is 400 ft2 what is the area of square c?

Answers

Answer: 575 ft2??

Explanation: If there is a pattern of 175 being added to each square, 225 + 175 = 400 = Square B, than 400 + 175 = 575 = Square C.

I might be incorrect, but this is my best guess! ♡

A company charges a shipping fee that is 6.5% of the purchase price for all items it ships. What is the fee to ship an item that costs $60? Round to the nearest cent (hundredths place). *

Answers

Answer:

The answer is $2.52.

Step-by-step explanation:

56 x .045= $2.52

6
A natural gas company charges a $23.13 connection fee plus $1.34 per 10 cubic feet of gas used. In the winter peak usage
months, November through February, they charge each customer a peak usage surcharge of $23.22. If a family uses 100 cubic feet
of gas, how much will their bill have increased because of the peak usage surcharge?
A. $232.20
B. $59.75
C. $46.35
OD. $23.22

Answers

Answer:

A is what i got but i could of done the math wrong sorry

simplify. (write without the absolute value sign): |x+3|, if x=2

Answers

Answer:

5

Step-by-step explanation:

|x+3| when x = 2 is |2+3| = |5| = 5

Answer:

5

Step-by-step explanation:

Substitute 2 in for x

|2+3| = 5

This would take the absolute value of the answer, or in other words once you solve the equation it will remove any negatives to return a positive number.

What is the area of the following figure?

Answers

Answer:

The answer is 59in

Answer:

242 in^2

Step-by-step explanation:

Area of a rectangle is length x width.

Area of rectangle:  24 in x 7 in = 168 in^2

Area of a trapezoid is 1/2(height)(base 1 + base 2)

Area of the trapezoid on top is 1/2(4)(13+24) = 2(13 + 24) = 2(37) = 74.

The total are is 168 + 74 = 242 in^2

For a Saturday matinee, adult tickets cost $7.50 and kids under 12 pay only $6.00. If 80 tickets are sold for a total of $525, how many of the tickets were adult tickets and how many were sold to kids under 12?

They sold ___ adult tickets and _____ kids tickets.

Answers

Answer:

They sold 30 adult tickets and 50 kids tickets.

Step-by-step explanation:

This question is solved by a system of equations.

I am going to say that:

x is the number of adult tickets sold

y is the number of kids tickets sold.

80 tickets are sold

This means that [tex]x + y = 80[/tex], or also, [tex]x = 80 - y[/tex]

For a Saturday matinee, adult tickets cost $7.50 and kids under 12 pay only $6.00. Tickets were sold for a total of $525.

This means that:

[tex]7.5x + 6y = 525[/tex]

Since [tex]x = 80 - y[/tex]

[tex]7.5(80 - y) + 6y = 525[/tex]

[tex]600 - 7.5y + 6y = 525[/tex]

[tex]1.5y = 75[/tex]

[tex]y = \frac{75}{1.5} = 50[/tex]

[tex]x = 80 - y = 80 - 50 = 30[/tex]

They sold 30 adult tickets and 50 kids tickets.

Mary Jo spends $2,300 to buy stock in two companies. She pays $19 a share to one of the companies and $24 a share to the other. If she ends up with a total of 100 shares, how many shares did she buy at $19 a share and how many did she buy at $24 a share?

She bought ____ shares at $19 and ___ shares at $24.

Answers

Answer:

She bought _20___ shares at $19 and _80__ shares at $24.

Step-by-step explanation:

x + y = 100

19x + 24y = 2300

-19x - 19y = -1900

5y = 400

y = 80

x + 80 = 100

x = 20

She bought _20___ shares at $19 and _80__ shares at $24.

Part C
How many cubic blocks are needed to fill the fish tank?

Answers

Answer:

[tex]2\frac{2}{3}[/tex] cubic blocks

Step-by-step explanation:

The given parameters are:

[tex]Length = \frac{1}{2}yd[/tex]

[tex]Width = 16yd[/tex]

[tex]Height =\frac{1}{3}yd[/tex]

Required

Number of cubic blocks to fill the tank

To do this, we simply calculate the volume of the tank by:

[tex]Volume = Length * Width * Height[/tex]

This gives:

[tex]Volume = \frac{1}{2} * 16 * \frac{1}{3}[/tex]

[tex]Volume = \frac{16}{6}[/tex]

Simplify

[tex]Volume = \frac{8}{3}[/tex]

Express as mixed numbers

[tex]Volume = 2\frac{2}{3}yd^3[/tex]

PLEASE HELP ME PLZ IN I GET IT RIGHT I WILL GIVE U A BRAINLY AND PLZ NO LINK THAT DON’T HELP AT ALL

Answers

The model represents that 4 divided by 1/3 is 12.

Keep in mind that dividing fractions is the same is multiplying by the reciprocal. The reciprocal of 1/3 is 3/1, or just 3.

The image shows a 4 being divided into 4 groups of 3. When you count the boxes, you can see that there are 12. This means that whatever equation you do, you will want your answer to be 12.

As we stated above, 4 divided by 1/3 is really just 4*3, which equals 12. This confirms that the correct answer is B.

h=-4.9(+-13)(t+2)
h=-4.9(+-13)(t+2)

Answers

Answer:

h=63.7t+127.4

Step-by-step explanation:

A triangle has base angles of 52.5 degrees each. What is the measurement of the third angle?

Answers

Answer:

The answer is 75 degrees

Step-by-step explanation:

All triangles interior angles will at up to 180. 52.5+52.5= 105. 180-105= 75 degrees.

please help me. please please please​

Answers

Answer:

[tex]\frac{27}{8}[/tex]

Step-by-step explanation:

[tex]\left(\frac{16}{81}\right)^{\frac{-3}{4}}=\frac{16^{\frac{-3}{4}}}{81^{\frac{-3}{4}}}[/tex]

[tex]=\frac{2^{-3} }{3^{-3} }[/tex]

[tex]=\frac{\frac{1}{8}}{\frac{1}{27}}[/tex]

[tex]=\frac{1*27}{8*1}[/tex]

[tex]=\frac{27}{8}[/tex]

Triangle PQR has vertices P(−3,4), Q(−8,3), and R(−1,−6). Triangle PQR is dilated by a scale factor of 8 centered at the origin to get triangle P′Q′R′.
What are the coordinates of points P′, Q′, and R′ of the image?

P′(−38,−12), Q′(−1,38), R′(−18,−34)
P′(−3,32), Q′(−8,24), R′(−1,−48)
P′(−24,4), Q′(−64,3), R′(−8,−6)
P′(−24,32), Q′(−64,24), R′(−8,−48)

Answers

Answer:

The coordinates of points P', Q' and R' are (-24, 32), (-64, 24) and (-8,-48), respectively.

Step-by-step explanation:

Vectorially speaking, the dilation of a vector with respect to a given point is defined by the following formula:

[tex]P'(x,y) = O(x,y) + r\cdot [P(x,y)-O(x,y)][/tex], [tex]r > 1[/tex] (1)

Where:

[tex]O(x,y)[/tex] - Point of reference.

[tex]P(x,y)[/tex] - Original point.

[tex]P'(x,y)[/tex] - Dilated point.

[tex]r[/tex] - Scale factor.

If we know that [tex]O(x,y) = (0,0)[/tex], [tex]P(x,y) = (-3, 4)[/tex], [tex]Q(x,y) = (-8,3)[/tex], [tex]R(x,y) = (-1,-6)[/tex] and [tex]r = 8[/tex], then the new coordinates of the triangle are, respectively:

[tex]P'(x,y) = (0,0) + 8\cdot [(-3,4)-(0,0)][/tex]

[tex]P'(x,y) = (-24, 32)[/tex]

[tex]Q'(x,y) = (0,0) + 8\cdot [(-8,3)-(0,0)][/tex]

[tex]Q'(x,y) = (-64, 24)[/tex]

[tex]R'(x,y) = (0,0) + 8\cdot [(-1,-6)-(0,0)][/tex]

[tex]R'(x,y) = (-8,-48)[/tex]

The coordinates of points P', Q' and R' are (-24, 32), (-64, 24) and (-8,-48), respectively.

Answer:

(-24, 32), (-64, 24) and (-8,-48)

Step-by-step explanation:

We are going to sell shirts during spirit Week. The shirts come in 3 colors: black, white, and gold. Students may also choose from 2 different colors of ink and 2 different designs. How many different types of shirts can be made?

Answers

Answer:

I don’t really know but ill go with 21

Step-by-step explanation:

For some reason

What is the answer to number 12?

Answers

Answer:

12) 2.5

the height then is 2.5.

Step-by-step explanation:

42.9/3.3 = 13

32.5/13 = 2.5

Have a nice day!

2.5
The person above is correct!!

Will give brainliest

Answers

Answer:

31.6%

6.67%

14.3%

Step-by-step explanation:

Please explain how you got this

Answers

Answer:

area = 68 ft²

Step-by-step explanation:

area = 1/2(b1 + b2)(h) = 1/2(9 + 8)(8) = 68 ft²

Answer:

68

Step-by-step explanation:

First find the internal square area (64) then calculate the outer triangles (2 each) to get 68 plz thx, 5 str and mark brainliest

Julie printed out a picture of each of the five members of her favorite band to decorate her bedroom door. Each picture measures 8
inches by 10 inches. Once decorated, how many square inches of Julie's door will be covered by these pictures?
OA.
400 square inches
OB. 320 square inches
OC. 480 square inches
OD
180 square inches

Answers

Answer: A.) 400 square inches
Explanation:
Well, if the 5 pictures are squares/rectangles, then we should use the formula “base x height” to find the area..

10 x 8 is 80

Since therr are 5 pics, we do this:
80 x 5 = 400

So uhhh there ya go, 400 square inches..

(Pls, if someone thinks im wrong, correct me)
If im right, mark me brainliest plss

In a popular online role playing game, players can create detailed designs for their
character's "costumes," or appearance. Justin sets up a website where players can buy
and sell these costumes online. Information about the number of people who visited
the website and the number of costumes purchased in a single day is listed below.
237 visitors purchased no costume.
17 visitors purchased exactly one costume.
24 visitors purchased more than one costume.
Based on these results, express the probability that the next person will purchase no
more than one costume as a fraction in simplest form.

Answers

Answer:

uhm I don't know this one.

Step-by-step explanation:

need help.
The scatter plot and line of best fit below show the length of 9 people's femur (the long leg bone in the thigh) and their height in centimeters. What is the meaning of the xx-value on the line when y=160y=160?

Answers

Answer:

c

Step-by-step explanation:

The true statement is (d) The expected height of 160 cm when the femur length has a length of 42.5 cm

How to interpret the scatter plot?

From the given figure, we have:

x values represents the femur length in centimetersy values represents the height in centimeters

So, when the y value is 160, the x value is:

The expected height of 160 cm when the femur length has a length of 42.5 cm

Hence, the true statement is (d)

Read more about scatter plots at:

https://brainly.com/question/6592115

which is it? please answer asap

Answers

Answer:

the difference of m and 5 is graeter than 10

The rectangle below is show with dimensions in inches

Answers

Answer:21/64

Step-by-step explanation:

Do 3*7 to get 21

And 8*8 to get 64.

To multiply fractions you multiply the denominators together and then the numerators together

The area of a rectangular note card is 35 square inches. The perimeter is 24 inches. What are the
dimensions of the note card?
inches by
inches

Answers

Answer:

5in by 7in

Step-by-step explanation:

2*(l+w)= 24 => l+w= 12

Le= 35

It is easy to see that 35=5*7 and 12= 5+7

So 5 and 7 are the dimensions of the card

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