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vlada-n [284]
3 years ago
5

Use the distributive property to write an equivalent expression. 9(x + 10)

Mathematics
1 answer:
Ne4ueva [31]3 years ago
7 0

Answer:

9x + 90

Step-by-step explanation:

Given

9(x + 10) ← multiply each term in the parenthesis by 9 )

= 9x + 90

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The Royal Fruit Company produces two types of fruit drinks. The first type is 60% pure fruit juice, and the second type is 85% p
andrew11 [14]

Answer: There are 32 pints of first type and 128 pints of second type in mixture.

Step-by-step explanation:

Since we have given that

Percentage of pure fruit juice in first type = 60%

Percentage of pure fruit juice in second type = 85%

Percentage of pure fruit juice in mixture = 80%

We will use "Mixture and Allegation" to find the ratio of first and second type in mixture:

          First type          Second type

               60%                    85%

                              80%

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

     85-80               :              80-60

       5%                  :                 20%

        1                     :                   4

so, the ratio of first and second type is 1:4.

Total number of pints of mixture = 160

Number of pints of mixture of  first type in mixture  is given by

\dfrac{1}{5}\times 160\\\\=32\ pints

Number of pints of mixture of second type in mixture is given by

\dfrac{4}{5}\times 160\\\\=4\times 32\\\\=128\ pints

Hence, there are 32 pints of first type and 128 pints of second type in mixture.

6 0
3 years ago
Simplify the expression.<br> 9a2b4<br> 3a3b3
Naddik [55]

Answer:

9

a

2

b

4

3

a

3

b

3

Step-by-step explanation:

8 0
3 years ago
Zachary created a garden that measured7 x 6.5 feet. How many 8-foot rolls of fencing will he need to completely surround the gar
lutik1710 [3]

Answer:

6 rolls

Step-by-step explanation:

7 × 6.5 is 45.5

45.5 ÷ 8 is 5.6875

5.6875≈6

So 6!

8 0
3 years ago
Use the distance formula to answer the question:<br> What is the distance between (5,9), (1, 6)?
joja [24]

Step-by-step explanation:

The formula is Distance=√(x2-x1)²+(y2 -y1)²

x1 is 5, x2 is 1, y1 is 9, y2 is 6

D = √( 1-5)² +(6-9)²

D = √(-4)²+(-3)²

D = √16+9

D = √25

D = 5 units

3 0
2 years ago
$250, 2.85, 3 years find the simple interest SHOW WORK 20 POINTS
Mazyrski [523]
Ok so what we need to find is 3 years of the simple interest so let’s get to it!

Ok so we found the principal price which is 250.00

And our rate is going to be 2.85%

A=P(1+rt)

Therefore the answer is going to be A=$271.38, therefore from the simple interest on a principal of $250.00 at a rate of 2.85% per year for 3 years is $271.38.

5 0
3 years ago
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