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Step2247 [10]
3 years ago
12

Solve for x in the diagram below

Mathematics
1 answer:
klio [65]3 years ago
4 0

Answer:

15

Step-by-step explanation:

45+15=4x

60=4x

15=x

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Rectangular prism has base area 522 square millimeters and height 31 millimeters. Find volume in cubic millimeter
Soloha48 [4]

Answer:

The volume in cubic millimeter is <u>16182</u>.

Step-by-step explanation:

Given:

Rectangular prism has base area 522 square millimeters and height 31 millimeters.

Now, to find the volume in cubic millimeter.

Base area = 522 square millimeters.

Height = 31 millimeters.

Now, to get the volume we put formula:

Volume=base\ area\times height

Volume=522\times 31

Volume=16182\ cubic\ millimeter.

Therefore, the volume in cubic millimeter is 16182.

6 0
4 years ago
A store sells black ink pens for $5 and red ink pens for $4. John wishes to buy 20 pens but doesn’t wish to spend more than $92.
Zina [86]

Answer:  4r + 5(20-r) \le 92

=======================================

Explanation:

r = number of red pens

4r = cost of buying r red pens

example: if r = 10, then 4r = 4*10 = 40 is the total cost of buying 10 red pens

If John buys r red pens, then he must buy 20-r black pens so that r and 20-r add to 20.

John buys 20-r black pens, and at $5 each, so it will cost 5(20-r) dollars for just the black pens alone.

In total, John spends 4r + 5(20-r) dollars for all the pens (red & black)

We want $92 be the most he spends. This is the ceiling or highest value possible.

Therefore,

4r + 5(20-r) \le 92

--------------------

Extra info:

If you want to solve for r, then

4r + 5(20-r) \le 92

4r + 5(20)+5(-r) \le 92 distribute

4r + 100 - 5r \le 92  

100 - r \le 92

100-r+r \le 92+r add r to both sides

100 \le 92+r

100-92 \le 92+r-92 subtract 92 from both sides

8 \le r

r \ge 8

So John must buy at least 8 red pens. The most he can buy is 20 red pens since he wants 20 pens total.

8 0
3 years ago
Rohan is checking in poodles for a dog show. A miniature poodle must be between 10 in. and 15 in. at the shoulder. The body leng
Masteriza [31]
The first one, the fourth one, and the middle one
 
3 0
4 years ago
Read 2 more answers
1
AnnyKZ [126]

Answer:

C

Step-by-step explanation:

because you cannot sell negative pizzas.

8 0
3 years ago
A string of decorative lights is 28 feet long. The first light on the string is 16 inches from the plug. If the lights on the st
lubasha [3.4K]
There are 80 lights. 28 x 12 divided by 4 minus 4 lights for the 16 inches before the first light.
6 0
3 years ago
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