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Temka [501]
3 years ago
5

Factor the expression 2x(x+1) - 7 (x+1)

Mathematics
1 answer:
valentina_108 [34]3 years ago
3 0

Answer:

See it and do it

Follow me please

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Leia cuts congruent triangular patches with an area of 63 square centimeters from a rectangular piece of fabric that is 27 centi
m_a_m_a [10]
<span>- The triangular patches have an area of 63 cm</span>² (A1= 63 cm²)<span>.
- The rectangular piece of fabric is 27 centimeters long and 21 centimeters wide. 

 1. Then, the first thing you must do is to calculate the area of the piece of fabric. The formula for the area of a rectangle is:

 A2=LxW
 
 L=27 centimeters (The lenght of the rectangle)
 W=21 centimeters (The width of the rectangle)

 2. When you substitute the values of L and W into the formula, you obtain:

 A2=(27 cm)(21 cm)
 A2=567 cm</span>²
<span>
 3. Then, let's calculate how many triangular patches she can cut from a rectangular piece of fabric:

 A2/A1= 567 cm</span>²/63 cm²= 9 triangular patches

 4. Finally, you can calculate how many triangular patches she can cut from 33 rectangular pieces of the fabric:

 (9 triangular patches)(33 pieces of fabric)=297 triangular patches
<span>
 How many of the patches can Leia cut from 33 pieces of the fabric?

 The answer is: 297 triangular patches</span>
6 0
3 years ago
Pump 1 can empty a pool in 8 hours while Pump 2 can empty the same pool in 9 hours. If the two pumps worked together, how long w
yan [13]
<span>Rate of pump A: 1/8 of a pool per hour 
Rate of pump B: 1/9 of a pool per hour 
Combined rate: 1/8+1/9 = 17/72 +1/9 = 25/72 

So if they work together, the two pumps have a combined rate of 25/72 of a pool per hour (i.e in one hour, the two pumps will empty 25/72 of the pool) 

</span><span>But we want to empty ONE pool (not 25/72 of one). So we need to multiply 25/72 by some number x to get 1.
 </span>
<span>Now solve for x 
x=2.88
</span><span>It will take the two pumps 2.88 hours to empty the pool.
2 hours 52 minutes 50 seconds</span>
7 0
3 years ago
Which of the following fractions can be represented by a terminating decimal?
Karo-lina-s [1.5K]

Answer:

B) 13/8

Step-by-step explanation:

First we need to understand what a terminating decimal is: It is a decimal that has a finite number of decimal values that are not zero, meaning that its decimal values end at some point

Let's go through our possible answers with trial and error:

A) 8/9

8/9 = 0.888888888888...9 (Incorrect)

B) 13/8

13/8 = 1.625 (Correct)

C) 4/3

4/3 = 1.3333333333...4 (Incorrect)

D) 6/11

6/11 = 0.545454545454...54 (Incorrect

13/8 is our answer because in decimal form it is a terminating decimal.

8 0
2 years ago
How many ounces in a half pound
abruzzese [7]
0.5 pounds = 8 ounces
There are 16 ounces in a pound, and you only need half a pound so
16/2 = 8
7 0
3 years ago
Read 2 more answers
Mike bought 2 3/4 pounds of riceHe wants to distribute it among bins that each hold 1/3 pound of rice. How many bins can he comp
KATRIN_1 [288]

Answer:

8 bins filled completely; remaining rice fills ⅓ bin.

Step-by-step explanation:

7 0
3 years ago
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