Find each difference. Write in simplest form 7/8-5/8=

Mathematics

1 answer:

Ivanshal [37]4 years ago

5 0

7/8-5/8= 2/8 and if you reduce 2/8 by 2 it becomes 1/4. So 1/4 is your answer. Hope This Helps :D

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Three times a larger number is 30 more than 5 times a smaller number. The sum of the larger number and 5 times the smaller numbe

slava [35]

3y = 5x + 30

y + 5x = 50 .......(1)

3y - 5x = 30 .....(2) - rearranging the first equation.

Add (1) and (2):-

4y = 80

y = 20
Now plug y = 20 into equation (1):-
20 + 5x = 50
5x = 30
x = 6

The 2 numbers are 6 and 20.

5 0

3 years ago

Read 2 more answers

A rectangular prism has a width of 51 ft and a volume of 144 ft3. Find the volume of a similar prism with a width of 17 ft. Roun

meriva

Answer:

$5.3\ ft^3$

Step-by-step explanation:

Similar shapes with scale factor $k$ have proportional volumes with coefficient $k^3$ i.e.

$\dfrac{V_{large}}{V_{small}}=k^3,$

where

$k=\dfrac{\text{width of large prism}}{\text{width of small prism}}.$

Since

$\text{width of large prism}=51\ ft,\\ \\\text{width of small prism}=17\ ft,$

then

$k=\dfrac{51}{17}=3.$

Hence,

$\dfrac{144}{V_{small}}=3^3\Rightarrow V_{small}=\dfrac{144}{27}=\dfrac{16}{3}=5\dfrac{1}{3}\approx 5.3\ ft^3.$

7 0

3 years ago

The perimeter of a rectangle is 150 cm. the length is 4 cm greater than the width find the width and length

Fudgin [204]

Let's call the width of our rectangle $w$ and the length $l$ . We can say $l = w + 4$ , since the length is equal to 4 cm greater than the width.

Also remember that the perimeter of a rectangle is the sum of two times the width and two times the length, or $P = 2l + 2w$ . To solve this problem, we can substitute in the information we know, as shown below: