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2 years ago

Which shows how the distributive property can be used to evaluate 7x8 4/5?

Mathematics

2 answers:

masha68 [24]2 years ago

7 0

Answer: 56 + 28/5

Step-by-step explanation:

Yuri [45]2 years ago

5 0

Answer:

61 3/5

Step-by-step explanation:

we realize that 8 4/5 can be written as [8 + (4/5)]

hence 7 x 8 4/5

= 7 x [8 + (4/5)]

= 7 [8 + (4/5)] (use the distributive property, see attached for reference)

= 7(8) + 7(4/5)

= 56 + 28/5 (convert 28/5 into mixed fraction)

= 56 + 5 3/5

= 61 3/5 (answer)

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the volume of hemisphere is 1527.4cm^3.find the radius of the hemisphere to the nearest whole whole number.(take π to be 22/7)

skelet666 [1.2K]

Answer:

radius of the hemisphere = 9 cm approx

Step-by-step explanation:

Volume of hemisphere = $\frac{2}{3} \pi r^{3}$

1527.4 = $\frac{2}{3} * \frac{22}{7} * r^{3}$

$\frac{7*15274*3}{2*22*10}$ = $r^{3}$

$\frac{320754}{440}$ = $r^{3}$

$r^{3}$ = 729

r = $\sqrt[3]{729}$

r = 9 cm approx.

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2 years ago

Jack is 1.75 m tall and casts a shadow 2.25 m long. At the same time, a statue casts a shadow 9 m long. What is the height of th

Arisa [49]

7m
1.75 divided by 2.25 = 0.77777777...
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2 years ago

Read 2 more answers

Hank invested a total of $20,000, part at 7% and part at 10%. How much did he invest at each rate if the total interest earned i

jolli1 [7]

Answer:

The amount invested at 7% is $12,000 while the amount invested at 10% is $8,000

Step-by-step explanation:

The given parameters are;

The total amount Hank invested = $20,000

The interest earned in one year = $1640

Hank invested part of the $20,000 at 7% interest and part of the $20,000 at 10%

Let the part invested at 7% = X and the part invested at 10% = Y, we have;

7% of X + 10% of Y = $1640 which gives;

0.07×X + 0.1×Y = $1640.....................(1)

X + Y = $20,000.................................(2)

Multiply equation (1) by 10 and subtract equation (1) from equation (2) to get;

X + Y - 10×(0.07×X + 0.1×Y) = $20,000 - 10×$1640

X - 0.7·X - Y - Y = $20,000 - $16,400 = $3,600

0.3·X = $3,600

X = $3,600/0.3 = $12,000

X = $12,000

Y = $20,000 - X = $20,000 - $12,000 = $8,000

Y = $8,000

Therefore, the amount invested at 7% = $12,000 and the amount invested at 10% = $8,000.

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3 years ago

Read 2 more answers

Jake is buying a piece of recycled art from Luna. He started by giving her $50 and promised to pay her $5 a week until he pays t

garri49 [273]

Answer: $t = 50 + 5 w$

Step-by-step explanation:

Here w shows the number of weeks and t shows the total amount in w weeks.

Since, the initial amount he paid to her = $ 50

After that he paid $ 5 per week.

Thus, the total extra amount he paid = 5 w

⇒ The total amount he paid to her = 50 + 5 w

⇒ t = 50 + 5 w

Which is the required relation between the total amount paid(t) and the number of weeks (w) Jake will take to pay Luna.

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3 years ago

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A number plus five times its reciprocal is equal to 6<br>Find the number.

USPshnik [31]

Answer:

5, 5+ 5(1/5) 5 is the number

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3 years ago