Rectangle A measures 3cm by (8x - 7)cm and rectangle B measures 4cm by (5x + 2)cm. Area of both rectangles is equal. Create the equation and find the value of x.

please help me i will mark you brainliest

Answers

Answer 1

Answer:

Equation: 3 (8x - 7) = 4 (5x + 2)

Value of x =7.25 cm

Step-by-step explanation:

Hi, to answer this question we have to apply the next formula:

Area of a rectangle: width x length

Replacing with the values given:

Area A = 3 (8x - 7)

Area B = 4 (5x + 2)

Since both areas are equal:

Area A = Area B  

So:

3 (8x - 7) = 4 (5x + 2)

Solving for x:

24x -21 = 20x+8

24x-20x =8+21

4x =29

x =29/4=7.25 cm

Feel free to ask for more if needed or if you did not understand something.


Related Questions

Could u help me make sure its the right answer i can't get this wrong .

Answers

Answer:

12x + 6y = 102

5x - 6y = 34

17x = 136

x = 8

y = 1

Answer:

Step-by-step explanation:

Next time just substitute each of the options for x and y one at a time.

A

This pattern follows the rule divide by 2, then add 8. What are the next two numbers?

144, 80, 48, ________, ________

A. 24, 12
B. 32, 24
C. 42, 36
D. 56, 64

Answers

Answer:

32, 24

Step-by-step explanation:

48 divided by 2 is 24 plus 8 is 32 then divide by 2 get 16 plus 8 is 24

Answer:

B. 24 and 32

Step-by-step explanation:

when you divide 48 by 2, get 24.

Then you must add 8 to 24 to get the next number, which will be 32.

Jack’s bank statement shows an account balance of –$25.50. Which describes the magnitude, or size, of the debt in dollars? $50.50 $25.50 $0 –$25.50

Answers

Answer:

$25.50

Step-by-step explanation:

because the magnitude of the debt is the distance from zero.

Answer:

25.50

Step-by-step explanation:

Imagine you have a piece of string. Imagine cutting the string in half, and noting the measure of the piece. If you repeat this process until you cannot cut anymore string in half, what do you suppose happens to the measurement of the strings as the number of pieces rises?

Answers

Answer:

The string disapears and the measurment decreaces int tiny bits as to it getting cut into tiny pieces.  

If this was not correct or the answer you were looking for tell me what you think.

bro please help meee

Answers

Answer:

504 in³

Step-by-step explanation:

First find the volume of the large rectangle, which is 576 in³

Then find the volume of the small rectangle, which is 72 in³

Then subtract 72 from 576 = 504

I'M SO STUPID
SO PLEASE HELP YA GIRL OUT

Answers

123 is a linear pair with the inside angle so
180-124= 57. Now we have two inside angles and a triangle has to be 180 degrees so
57+42=99 we know that both angles equals 99 so
180-99=80. The third angle is 81 and is a linear pair with x soooo
180-81=99
X is equal to 99. You can also do corresponding angles and have X be 99 because of the inside angle that’s also 99

Answer:

IDK IM SORRY

Step-by-step explanation:

IM DUMB

Write a variable expression for each. Tell what the variable represents I NEED HELP!!!

1. $16 less than last week's income
2. 5ft longer than the width of the wall
3. The amount of a car loan separated into 48 equal payments

Answers

1. x - 16
2. x + 5
3. x divided by 48 (I don’t have the division symbol.)

If Jay gets paid $125 for working 10 hours, how much does he get paid for one hour?

Answers

125 dollars divided by ten = 12,5
He gets paid 12,5$ for one hour

Answer:

12.5

Step-by-step explanation:

125/10=Hour

Hour-12.5

Check,

12.5*10=$125

You are shown a liquid that looks the same throughout. You are told it contains more then one element in varying proportions. Is the liquid an element, a compound or a mixture? Give a reason why

Answers

Answer:

The liquid is a compound because it contains more than one substance.

The side on a clip board appears to be a right triangle. The leg lengths are 2 millimeters and 2.1 millimeters and the hypotenuse is 2.9 millimeters. Is the side of the clip a right triangle?

Answers

Answer:

Yes, it is a right angle triangle

Step-by-step explanation:

Let leg lengths be y and z

Y = 2mm

Z = 2.1mm

Let x represent hypothenus

X = 2.9mm

To find out if it's a right angle triangle, we'll use pythagorean theorem since it's true for all right angle triangles I.e the square of the hypothenus is equal to the square of both sides(opposite and adjacent)

x² = y² + z²

x² = 2² + 2.1²

x² = 4 + 4.41

x² = 8.41

Take the square root of both sides

x = √(8.41)

x = 2.9mm

Therefore since the square of two other sides equal the square of the hypothenus, the side of the clip is a right angle triangle

plz answer the other 6th grade question

Answers

Answer:

5*14=70

Step-by-step explanation:

Divide 28 by 2 because it is the second on the number line and because Jonah folded 2 shirts in that time. You would get 14. You then get a speed of 1 shirt every 14 seconds. That means if you multiply 5 with 14, you'd get the number of seconds it'd take for Jonah to fold her clothes. Not a nice chore I must say. Pardon my english, and hope this helps :)

Which is true about the data shown in the scatter plot?


A)
The data have no clusters and outliers.


B)
The data cluster along a line and there is no outlier.


C)
The data cluster along a curve and there is no outlier.


D)
The data cluster along a line. The point (10, 6) is an outlier.

Answers

Answer:

D.

Step-by-step explanation:

The line is going in positive linear association and the outlier is (10,6) because that is the coordinate farthest from the line.

Answer:

I would answer but that ain't enough points...

Step-by-step explanation:

If t=(23 -38 17 -6), then what is -10(t)? I WILL GIVE BRAINLIEST

Answers

Answer:

B

Step-by-step explanation:

Multiply each term by -10

Pleaser answer CORRECTLY , WILL MARK BRAINLIEST !!!!!!!!!

Answers

Answer:

Step-by-step explanation:

-3a + 6b = a + 4b

-4a + 6b = 4b

-4a = -2b

a = -2b/-4

f(a) = -b/2

You just bought ten trees and want to plant them in 5 rows with 4 trees in each row. How will you plant the trees?


Answers

Answer:

You can't you have to use 20 trees since 20 divided  by 5 is 4.

So using 10 would make it 10 divided by 5 which is 2.

And the trees can't be halve so it's 20. 10 is impossible.

Step-by-step explanation:

HELP QUICK I DON'T WANNA FAIL PLZ HELP!!!!

Answers

163 is incorrect the correct answer is 154

Find the angle represented by x (rounded to the nearest tenth of a degree). A) 32.6° B) 36.4° C) 37.8° D) 38.7°

Answers

Answer:

The angle is 49.63°, approximately.

Step-by-step explanation:

In the image attached, you can observe that the angle we need to find is an acute angle of a right triangle, where its hypothenuse is 21 units long and its opposite leg is 16 units long.

Having these elements, we can use the sine trigonometric reason to find the angle.

[tex]sin(x)=\frac{opposite \ leg}{hypothenuse} =\frac{16}{21}\\ x=sin^{-1}(\frac{16}{21} ) \approx 49.63\°[/tex]

Therefore, the angle is 49.63°, approximately.

Which system of equations can be used to find the roots of the equation 12 x cubed minus 5 x = 2 x squared + x + 6? StartLayout Enlarged left-brace 1st Row y = 12 x cubed minus 5 x 2nd row y = 2 x squared + x + 6 EndLayout StartLayout Enlarged left-brace 1st Row y = 12 x cubed minus 5 x + 6 2nd row y = 2 x squared + x EndLayout StartLayout Enlarged left-brace 1st Row y = 12 x cubed + 2 x squared minus 4 x 2nd row y = 6 EndLayout StartLayout Enlarged left-brace 1st Row y = 12 x cubed + 2 x squared minus 4 x + 6 2nd row y = 0 EndLayout

Answers

Answer:

A

Step-by-step explanation:

12x³-5x=2x²+x+6

y=12x³-5x

y=2x²+x+6

A system of equations is a collection of related equations

The system of equations that can be used to solve [tex]12x^3 - 5x = 2x ^2 + x + 6[/tex] [tex]y = 2x ^2 + x + 6[/tex] and [tex]y= 12x^3 - 5x[/tex]

The equation is given as:

[tex]12x^3 - 5x = 2x ^2 + x + 6[/tex]

Split the above equation into 2, and set both equations to 0

[tex]12x^3 - 5x = 0[/tex]

[tex]2x ^2 + x + 6 = 0[/tex]

Replace the "0" with y, in both equations

[tex]12x^3 - 5x = y[/tex]

[tex]2x ^2 + x + 6 = y[/tex]

Rewrite the equations as:

[tex]y = 2x ^2 + x + 6[/tex]

[tex]y= 12x^3 - 5x[/tex]

Hence, [tex]y = 2x ^2 + x + 6[/tex] and [tex]y= 12x^3 - 5x[/tex] can be used to solve [tex]12x^3 - 5x = 2x ^2 + x + 6[/tex]

Read more about system of equations at:

https://brainly.com/question/14323743

Faith makes greeting cards with colored paper. She plans to make 15 of the cards out of red paper. She has 25 sheets of colored paper in all. If she uses all the colored paper she has, how many sheets are a color other than red?

Answers

Answer:

5

Step-by-step explanation:

because..............

Using fraction, the sheets are a color other than red is 5.

What is fraction?

Fraction is a "number are expressed as quotient, where numerator is divided by denominator".

According to the question,

Faith has 25 sheets of colored paper. She plans to make 15 of the cards out red paper.

[tex]\frac{15}{25}[/tex] =  [tex]\frac{3}{5}[/tex]

5 - 3 =2

Fraction 5 parts of sheets is equal to 25, 3 parts of sheet is equal to 15.

5 = 25

2 =  x

5 × 5 = 25

2 × 5  = 10

Hence, using fraction the number of sheets are a color other than red is 5.

Learn more about fraction here

https://brainly.com/question/183694

#SPJ2

Alice bought a 2-foot sub sandwich the sandwich was cut into 10 pieces Beth a 1/5 of a sandwich Camilla 8 3/10 of the sandwich and Alice ate two pieces.how many piecesof the sandwich did the 3 girls eat altogether?​

Answers

Answer:

7

Step-by-step explanation:

if you meant "camilla ate" instead of "camilla 8" then the answer should be 7

Answer:5/10 or 1/2

Step-by-step explanation:Beth ate 2/10 so 2/10+3/10+2/10=5/10 or 1/2

What is the equation of the line that is parallel to the given
line and has an x-intercept of -3?
O y = 2/3x+3
O y=2/3x+2
O y=-3/2x+3
O y=-3/2x+2

Answers

Answer:

0y=2/3x+2

Step-by-step explanation:

0y=2/3x+2 (multiply the #s)

0 =2/3x+2 (move the expression to the left)

= -2/3x=2(multiply both sides by -3/2)

x=-3 (Solution)

hi,I hope ds helps

The top 25% of students like between _ and _ photos per day (it’s not 30 and 50)

Answers

Answer:

100 and 125

Step-by-step explanation:

Simplify. (4w + 3) – 2w + 7

Answers

Answer:

2w+10

Step-by-step explanation:

Which shows all the names that apply to the figure?


parallelogram

parallelogram, rhombus

parallelogram, rectangle

parallelogram, rhombus, rectangle, square

Answers

。☆✼★ ━━━━━━━━━━━━━━  ☾  

I believe it would be A. parallelogram.

It can't be a rhombus as all its sides aren't equal

It can't be a square for the same reason ^

It can't be a rectangle as it does not have angles of 90 degrees

Have A Nice Day ❤    

Stay Brainly! ヅ    

- Ally ✧    

。☆✼★ ━━━━━━━━━━━━━━  ☾

Answer:

i believe its all 4.

Step-by-step explanation:

if you cut the parallelogram in half you get square but if its on its side.

if you slightly turn the square you ill see a rhombus.

and it could be a rectangle as well.

For what value of x the relation S: {(x2+3,4), (5,2)} is not a function?

Answers

Answer:

x =  ±sqrt(2)

Step-by-step explanation:

It is not a function if the same input goes to 2 different  outputs

x^2 +3 =5  would cause the same input to go to 2 different outputs

Subtract 3 from each side

x^2 +3-3 =5-3

x^2 = 2

Take the square root of each side

sqrt(x^2) = ±sqrt(2)

x =  ±sqrt(2)

Answer:

x = sqrt(2), -sqrt(2)

Step-by-step explanation:

For a function, there cannot be multiple outputs for the same input, therefore x²+3 should not be 5

x² + 3 = 5

x² = 2

x = +/- sqrt(2)

Two objects that are the same shape but not the same size are?

Answers

Answer:

Similar

Step-by-step explanation:

Objects that have the same shape but not size are defined to be similar.

Objects with the same shape and size are defined as congruent.

Anything that is congruent is ALSO similar.

Answer:

Similar

Step-by-step explanation:

Two angles are congruent if they have the same measure. Two figures are similar if they have the same shape but not necessarily the same size. All of the figures below are congruent since they all have the same shape and size.

Kiyo is designing a rectangular garden with a 2-ft wide path all the way around it. The length of the garden is 3 times as long as the width. Kiyo models the area of his garden and the path with the equation f(x) = (x + 2)(3x + 2). Explain Kiyo’s error

Answers

Answer:

The correct equation that models the area if x(3x) or 3x² where x is the width of the path

Step-by-step explanation:

Area of a rectangle = Length *Width

Width of the rectangular garden W = 2ft

If the length of the garden is 3 times as long as the width, then length = 3 * width i.e W = 3L

Since Area of the path A = L* W

A = (3W)W

A = 3W²

If the width is the same as x then

Area f(x) = (3x)(x)

According to kyle, the area of his path f(x) = (x + 2)(3x + 2) which is wrong because of kyle addition of 2 to each of the value of the length and width respectively which kyle shouldn't have added any value to the dimension to the garden

What’s 3 divided by 6 2/5?

Answers

Answer:

Step-by-step explanation:

3/6 = 1/2

Answer:

[tex]=\frac{15}{32}[/tex]

Step-by-step explanation:

[tex]3\div \:6\frac{2}{5}[/tex]

[tex]=3\div \frac{32}{5}[/tex]

[tex]\mathrm{Convert\:element\:to\:fraction}:\quad \:3=\frac{3}{1}[/tex]

[tex]=\frac{3}{1}\div \frac{32}{5}[/tex]

[tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{b}\div \frac{c}{d}=\frac{a}{b}\times \frac{d}{c}[/tex]

[tex]=\frac{3}{1}\times \frac{5}{32}[/tex]

[tex]\mathrm{Multiply\:fractions}:\quad \frac{a}{b}\times \frac{c}{d}=\frac{a\:\times \:c}{b\:\times \:d}[/tex]

[tex]=\frac{3\times \:5}{1\times \:32}[/tex]

[tex]\frac{15}{1\times \:32}[/tex]

[tex]=\frac{15}{32}[/tex]

~Lenvy~

solve this equation 5x+17= 42

Answers

Answer:

x = 5

Step-by-step explanation:

5x + 17 = 42

5x = 25

x = 5

Answer:

x = 5

Step-by-step explanation:

5x+17= 42

Subtract 17 from each side

5x+17-17= 42-17

5x = 25

Divide each side by 5

5x/5 = 25/5

x = 5

Choose how many degrees is equal to a.


25°


65°


87°


112°

Answers

Answer:

i think its 87 but im not to sure

Step-by-step explanation:

Answer:

87°

Step-by-step explanation:

Hope it helps you in your learning process

a + 25° = 112° (vertical angles)

a = 112° - 25°

a = 87°

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