1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
vlada-n [284]
3 years ago
5

The length of a board is 55 inches. The board needs to be cut into 2 pieces with one piece 5 inches longer than the other piece.

What is the length of the longer piece? Use an equation with a variable.
Mathematics
1 answer:
photoshop1234 [79]3 years ago
5 0
<h3>The length of longer piece is 30 inches</h3>

<em><u>Solution:</u></em>

Let "x" be the length of longer piece

Let "y" be the length of shorter piece

<em><u>The length of a board is 55 inches</u></em>

Therefore,

x + y = 55 -------- eqn 1

<em><u>The board needs to be cut into 2 pieces with one piece 5 inches longer than the other piece</u></em>

Therefore,

x = 5 + y ------- eqn 2

Substitute eqn 2 in eqn 1

5 + y + y = 55

2y = 55 - 5

2y = 50

<h3>y = 25</h3>

Substitute y = 25 in eqn 1

x + 25 = 55

x = 55 - 25

<h3>x = 30</h3>

Thus the length of longer piece is 30 inches

You might be interested in
find the area of a circle that has a diameter of 11inches approximate as 13.4 round your answer to the hundreth
Vinil7 [7]

To find the area of a circle you do pi (3.14) multiplied by the radius squared.

The radius is half of the diameter: 11 / 2 = 5.5in

The radius squared is 5.5^2 = 30.25

Then take the squared radius and multiply that by pi 30.25 * 3.14 = 94.985

So the area of the circle is about 94. 99 in.

Hope this helped! Mark as Brainliest please! :)))

3 0
3 years ago
Read 2 more answers
Find the x- and y-intercepts of the graph of each equation. (set x &amp; y equal to 0; two different
bogdanovich [222]
X= 2 y=4 these are the intercepts
5 0
3 years ago
Given f(x)= x + 6 and g(x) = 12X –7, what is f(x) + g(x)?
quester [9]
13x-1
Is the answer, you have to get all you terms that being x+6+12x-7
6-7=-1
X+12x=13x
Put them together with the Xs first
13x-1
5 0
3 years ago
Elise and her dad are planning to attend the state fair. An adult ticket is $21.00. The price of an adult ticket is $10.00 more
belka [17]

Answer:

C)two thirds x + 10 = 21

Step-by-step explanation:

The equation for determining how much it would be paid for the student tickets is shown below:

Given that

The ticket of an adult is $21

Now let us assume the price of the student ticket be x

So two third would be 2 ÷ 3x

And for adult it would be

2 ÷ 3x + 10

Now the equation is

2 ÷ 3x + 10 = 21

So after solving this the option c is correct

And the rest of the options are wrong

6 0
3 years ago
If the price of a toy usually costing £50 and id increased to £65 what is the increase percentage
Savatey [412]

Answer:

30%

Step-by-step explanation:

If the price went up to 65 from 50, that is an increase of 15. 15 is 30% of 50.

3 0
3 years ago
Read 2 more answers
Other questions:
  • 5x + 25y =100 x+ 3y =12
    11·1 answer
  • What will be the answer for this? Please help me, please and thank you
    8·1 answer
  • Carol jogged 1 3/4 miles on 5 days last week.She jogged 2 1/4 miles on 4 days this week.Was her total distance greater last week
    12·1 answer
  • Myra asked Annabelle to buy her some perfume while she was in France. Annabelle paid 200 euros for it. Myra wants to pay Annabel
    8·1 answer
  • A rectangle has width w inches and height h inches, where the width is twice the height. Both w and h are functions of time t, m
    8·1 answer
  • The common ratio of a geometric progression is 1/2 , the fifth term is 1/80 , and the sum of all of its terms is 127/320 . Find
    8·2 answers
  • BRAINLIEST!!! What is 2×3×4×5×6×7×8×9×10+0
    11·1 answer
  • True or false prime numbers are closed under subtraction?
    13·1 answer
  • Graph the image of this figure after a dilation with a scale factor of 12centered at the origin.
    5·1 answer
  • A piece of manufacturing equipment can produce enough items to fill an order
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!