The area of a trapezoid is 15 cm2. The height is 3 cm, and the bases have lengths of 2x and 3x cm. Find x, and give the lengths of the two bases.

Answers

Answer 1

Answer:

x = 2, bases are 4 cm and 6 cm

Step-by-step explanation:

Area formula:

A = 1/2(b1 + b2)h

Substitute the given values:

15 = 1/2(2x + 3x)(3)1/2(15x) = 15x = 2

The bases are:

b1 = 2*2 = 4 cmb2 = 3*2 = 6 cm

Related Questions

What is an expression equivalent to 6 - 4(3 - 6m) + 12m that is the product of two factors.​

Answers

Answer:

36m-6

If im wrong im sorry

A cube has side lengths of 4 in.
What is the volume of the cube?
Enter your answer in the box.
in3

Answers

Answer:

64in3

Step-by-step explanation:

V= 64in3

Answer:

V = 64 in³

I hope this answer be right !

A bus drives for 3 1/2 hours at an average speed of 56mph.
How far does the bus drive?

Answers

Answer:

196 km

Step-by-step explanation:

Distance = speed x time

So to work it out, it would be 3.5 x 56

= 196km

Answer:

A bus drives for 3 1/2 hours at an average speed of 56mph.

To Find :

How far does the bus drive?

Step-by-step explanation:

Times of journey(T)=3 1/2 =7/2hours

Average speed of bus(v)=56mph

We know the formula:

Average speed (v)=total distance (d)/Time(T)

So:

Total distance (d)=qverage speed(v)×time(t)

Total distance (d)=56×7/2

Total distance(d)=28×7=196 miles

It means distance travel by bus is 196 miles.

I hope it's helpful!

Which of the following ordered pairs
make this equation true?
y = 2x - 7
A. (1,9)
B. (-3, 4).
C. (4,1)
D. (-1, 5)

Answers

The answer is DDDDDDDDD

Answer:

Step-by-step explanation:

Isn't it c ?

y=2x-7

plug in

1 =2(4) - 7

1= 8-7

1=1

is 27/160 inch a large amount to grow in one month?

Answers

Anshmmm

Step-by-step explanation:

Write the equation in point-slope form of the line that passes through the given points.
Point = (1, -2)
Slope = -2

Answers

Answer:

y+2=-2(x-1)

Step-by-step explanation:

point-slope form

(y-y1)=m(x-x1)

m: slope = -2

(x1,y1) = (1,-2)

(y+2)=-2(x-1)

12x - 2/3 = 83 1/3

12x=?

x=?

Answers

Answer:

12x = 84

x = 7

Step-by-step explanation:

12x = 83 1/3 + 2/3

12x = 84

x = 84/12

x = 7

Hope that helps!

graph the equation y=5/2x-3

Answers

Answer:

Slope: 5/2

y-intercept: (0,-3)

The graph of the equation y=5/2x-3 is plotted.

Given data:

The linear equation is represented as y = ( 5/2 )x - 3

To graph the equation y = (5/2)x - 3, use the slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept.

So, the slope is 5/2, and the y-intercept is -3.

To plot the graph, follow these steps:

Plot the y-intercept:

Start by plotting the point (0, -3), which represents the y-intercept.

Use the slope to find another point: Since the slope is 5/2, use the rise and run method. From the y-intercept point (0, -3), move up 5 units (positive 5) and then move to the right 2 units. This gives another point on the line, which is (2, 2).

Hence, the equation is y = ( 5/2 )x - 3 and the graph is plotted below.

To learn more about equation of line, refer:

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Simplify 12 + (-4) - 2/5J -4/5j +5

Answers

Answer:

13 - 6j/5

Step-by-step explanation:

After simplification of the given equation, the value obtained is equal to (13 - 6j)/5.

What is Simplification?

A phrase must be simplified and made shorter using a variety of methods. The steps required to decrease something are carried out according to a specified order known as BODMAS.

Make a fraction simpler by reducing it to the base form. If both the numerator and denominator of a fraction only include the integer, the fraction is considered to be in its basic form.

As per the data given in the question,

12 + (-4) -2/5j - 4/5j + 5

12 - 4 + 5 - 2/5j - 4/5j

13 - (2 - 4)j/5

= (13 - 6j)/5

To know more about Simplification:

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what fraction is equivalent to 3/9​

Answers

Answer:

the simplified version of 3/9 would be 1/3 but other equivalent fractions of 3/9 would include but are not exclusive to: 2/6, 4/12, 5/15, and etc.

The required fraction 3/9 is equivalent to 1/3.

Given that the fraction is 3/9.

Equivalent fractions are the fractions are same at their simplest form.

Let a/b be the fraction, then the equivalent fractions are

2a/2b, 3a/3b, 4a/4b, 5a/5b,   etc

To find an equivalent fraction, we simplify the given fraction by dividing both the numerator and denominator by their greatest common divisor (GCD).

In this case, the GCD of 3 and 9 is 3.

Dividing both 3 and 9 by 3, we get:

3 ÷ 3 = 1

9 ÷ 3 = 3

Therefore, the fraction 3/9 simplifies to 1/3, which is an equivalent fraction.

Learn more about fractions and simplifying,  click here

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8x+7x+5+4= 39 pls help quickly

Answers

Answer:

x = 2

Step-by-step explanation:

8x + 7x + 5 + 4 = 39

15x + 9 = 39

15x = 30

x = 2

Brainly plz :))

PLEASE HELP I WILL MARK BRAINLEST 20 POINTS
what would be x in this ordered pair (3 -8)

Answers

Answer:

3

Step-by-step explanation:

X goes first

Answer:

X is the 3

Step-by-step explanation:

Ordered pairs always go (x,y) X will always be the number on the left.

3x + 2y = 26
y = 5x
Slove the system ​

Answers

X = 2
Y = 10


3x + 2y = 26
Y = 5x
3x + 2(5x) = 26
3x + 10x = 26
13x = 26
X = 2


Y = 5 (2)
Y = 10

Answer = 2

Step-by-step explanation:

3x + 2(5x) = 26

3x + 10x = 26

13x = 26

26 ÷ 13 = 2

write in slope-intercept form 5x-3y=-9

step by step explanation too, please.

Answers

Answer:

y = (5/3)x +3

Step-by-step explanation:

slope intercept form

Y = mx +b form

so we need to solve the given equation for y

1.  5x-3y =-9

2 . 5x -3y +3y = -9 +3y (adding both sides 3y)

3. 5x = -9 +3y

4. 5x +9 = -9 +9 + 3y (adding 9 to bot sides)

5. 5x +9 = 3y

6. (5/3)x + 9/3 = (3y)/3 ( divide both sides by 3 to get y  alone)

so, the final answer will be

y = (5/3)x +3

Gary had a piece of paper that has an area of 88 square inches. He folds it in half repeatedly. Write an equation to represent the area of the paper.

Answers

Answer:

88,44,22,11,5.5,2.75

Step-by-step explanation:

Please help and make it right...

Answers

Answer:

8/43

it doubled each time

Step-by-step explanation:

400 + 99 = 500 - 1 if you think about it

help plz due very soon

Answers

Answer: x-3

Step-by-step explanation:

Write the English phrase as an algebraic expression. Then, simplify the expression. Let x represent the number.

The difference between the product of five and a number and three times the number

What is the algebraic expression?

Answers

Answer:

5x-3x = 2x

Step-by-step explanation:

"The difference" = the substraction of two numbers

(something) - (something)

"The difference between the product of five and a number"

By product means multiplication. So, the multiplication of five and a number. Before, you have been told to represent the number with "x", and thats what you will do now.

(5*x) =  (5x)

(5x) - (something)

"The difference between the product of five and a number and three times the number"

With three times the number, we mean the same letter "x" & three times will be the amount of times we will multiply it. So, by the end we will have:

(5x)-(3x)

Now we just rest them

5x-3x= 2x

Hope it was helpful ;)

The difference between the product of five and a number and three times the number will be two times the number and algebraic expression will be 5x - 3x = 2x.

What is an expression?

An expression is a combination of some mathematical symbol such that arithmetic operator and variable such that all are constrained and create an equation.

In other meaning, expression is very useful to determine the end or root value of constraint.

For example 3x +5y

The constraint of expression is represented as = or <, >.

Given that,

x is that number,

Five times the number = 5x

Three times the number = 3x

Now,

Difference ⇒ 5x - 3x = 2x

Hence "The algebraic expression is  5x - 3x = 2x and The difference between the product of five and a number and three times the number will be two times the number".

To learn more about expression,

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Which table represents a linear function?

Answers

I believe it would be the 4th one! :)

please help me will give you brainliest!!

Answers

Answer:

Yes

No

No

Yes

Step-by-step explanation:

Is this ALEKS?

Answer:

-8 , -4 is a yes

1,4 is a yes

0, -7 is No

-3. -2 is No

Step-by-step explanation:

Pls branliest—0

In 8 hours if Martha writes 2 essays, how many essays can she write in 15 hours?

Answers

Answer:

Martha can write 3.75 essays in 15 hours. (Which is a lot for me)

Step-by-step explanation:

First, I divide 2 by 8.

2 ÷ 8 = 0.25

Next I multiply 0.25 by 15.

0.25 * 15 = 3.75

So, the answer is 3.75

Hope this helps! :)

Step-by-step explanation:

in 8 hours she wrote = 2 essay

in 1 hour she wrote = 2/8 = 1/4

in 15 she wrote = 15 × 1/4 = 15/4 or 3.75 essays .

plz mark my answer as brainlist plzzzz.

hope this will be helpful to you.

y + 3x = -1
y = 1/2x+ 20

Answers

im not sure if it’s right but I think it’s -6,17
So you can substitute equation 2 in equation 1.

U believe your equation 2 should read y= x/2 + 20 (the x is next to the 1 and not to the 2, right)

So after substituting, we have:

(x/2)+20+3x = -1

Multiply the whole equation by 2:

x + 40 + 6x = -2
7x = -2-40
7x = -42
x = -6

Replace x=-6 in equation 1:

y + 3(-6) = -1
y - 18 = -1
y =17

What is the answer to - (2 - 7x) if you simplify

Answers

Answer:

It would be

-2+7x

Step-by-step explanation:

Choose the correct numerical expression: six more than the product of 3 and 8

(3 + 8) x 6

(3 x 8) + 6

3 x (8 + 6)

Answers

The answer is (3 x 8) + 6

Imagine making slices through the solid parallel to the bases. What two-dimensional shapes are formed

Answers

Answer:

shape as that of the base of the solid

Step-by-step explanation:

A solid has a three dimensional shape. A three dimensional shape has both length, breadth and height. If the solid is being cut parallel to the base, a two dimensional shape (has length and width) is formed.

The shape of the two dimensional shape is the same as the shape of the base. Hence if solid is cut parallel to the bases, the shape formed would have the same shape as that of the solid base.

Explain the steps used to find the solution.

3(2y + 5) = -21
6y + 15 = -21
6y = -36
Y= -6

Answers

Answer:

3(2y + 5) = -21

open the bracket

6y + 15 = -21

collect like terms

6y = -21-15

6y = -36

divide by the coefficient of y

y = 36÷6

y= 6

Using the following set of data find the median.
17, 29, 32, 9, 30, 14, 8, 39, 11, 32, 23
O 14
O 23
O 24
O 26

Answers

Answer:

14

Step-by-step explanation:

Median= Middle which is 14

Answer:

your median is 14!

Expanded:

Your median is the middle number in a list of numbers from lowest to highest.

What is the difference between infinite solutions and all real numbers?

Please explain or provide examples.

Willing to give brainliest!!

Answers

Answer:

Real numbers are like pi, 4, -3, 1/3, 1.25, -3468374, ......

Infinite solutions are like when you solve a problem and it doesn't work out.

like 2+2 = 3 + 2

4 = 5

It doesn't make sense at all

Hope it helps :)

help pleaseee thank you

Answers

I don’t know what I’m trying to solve here but wouldn’t X be 0 since anything you multiply it equals zero?

I need help 25 points

Answers

Answer:

|6-8|=2

Step-by-step explanation:

You see, absolute value makes any number positive. It doesn't matter if the number was already positive or negative. |x|>=0. If that makes sense. So, 6-8 would be -2. But -2 in absolute value would be 2.

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