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wlad13 [49]
3 years ago
8

Justify each step in the solution of the equation 5(x+2)=24-2x

Mathematics
1 answer:
Lady bird [3.3K]3 years ago
8 0

Answer:

x=2

Step-by-step explanation:

5(x+2)=24-2x

5x+10=24-2x

5x-(-2x)+10=24

5x+2x=24-10

7x=14

x=14/7

x=2

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One positive number is 3 more than twice another. If their product is 629, find the numbers.
Soloha48 [4]

Answer:

17,37

Step-by-step explanation:

one number = x

The positive number = 2x + 3

x * (2x+3) = 629

x*2x + x *3 = 629

2x² + 3x - 629 = 0

2x² - 34x + 37x - 17*37 =0

2x*(x -17) + 37(x - 17) = 0

(x - 17)(2x + 37) = 0

x - 17 = 0 ;     Ignore  2x + 37 as s is a positive number

x = 17

Positive number = 2*17 +3 = 34+3 = 37

5 0
2 years ago
write an expression that uses partial products to multiply 8 x 64. Can your expression be written another way? Explain
RUDIKE [14]

we are asked to write an expression that uses partial products to multiply 8 and 64. In this case, we can break 8 into 2 x4 and 64 into 8x8. In this case, multiplying these factors equal to 512. Any factors will do actually since it will yield the same product.

8 0
2 years ago
What is 5.6 as a fraction or mixed number in simplest form
Step2247 [10]

5.6 is a mixed fraction is...

5.6= 5 3/5

8 0
3 years ago
9.6 dm= _____ cm
Sergio039 [100]

Answer:

96 cm

53 cm

4,5 Cm

1,5 Cm

1.7dm

0,5m

Step-by-step explanation:

Dm to Cm ×10

mm to cm ÷10

8 0
3 years ago
Read 2 more answers
At book fair, the ratio of adults to children is 7 : 3
joja [24]

The percentage of the boys at the book fair is 6%

<h3>What is a percentage?</h3>

Percentages are used in mathematics as a decimal ratio expressed in a fraction of 100. It is represented with a symbol known as %.

At a book fair, the ratio of adults to children are:

7 : 3

The total number of people at the book fair = 7 + 3 = 10

The percentage of adults are:

\mathbf{=\dfrac{7}{10}\times 100\%}

= 70% are adults

The percentage of children are:

 \mathbf{=\dfrac{3}{10}\times 100\%}

= 30% are children

However, if from the children, 4 are girls and 1 is a boy.

The total number of children at the fair  = 4 + 1 = 5

The percentage of girls are:

\mathbf{=\dfrac{4}{5} \times 30\%}

= 24%

The percentage of boys at the book fair is:

\mathbf{=\dfrac{1}{5} \times 30\%}

= 6%

Learn more about percentages here:

brainly.com/question/24304697

6 0
2 years ago
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