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2 years ago

Which equations are true?

Mathematics

1 answer:

liberstina [14]2 years ago

3 0

Answer:

B. D. E.

Step-by-step explanation:

A. False

${15}^{0} = 1$

B. True

$( {8}^{3} )( {8}^{6} ) = {8}^{(3 + 6)} = {8}^{9}$

C. False

${5}^{2} = 25$

D. True

$( {6}^{5} )^{3 } = {6}^{15}$

E. True

$\frac{ {3}^{7} }{ {3}^{9} } = {3}^{(7 - 9)} = {3}^{ - 2}$

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Mr. Smith built a rectangular-shaped sandbox for his children, measuring 4 feet by 4 feet by 6 inches. Sand has a density of app

ehidna [41]

Answer:

To completely fill the sandbox will cost $56

Step-by-step explanation:

First, we calculate volume of the rectangular-shaped sandbox:

$V=long*with*height\\V=4feet*4feet*0.5feet\\V=8cubicfoot$

We know that density of sand is 100 pounds per cubic foot. Then, to fill the sand box that has a volume of 8 cubic foot, we calculate by rule 3:

1cubic foot..............100 pounds

8 cubic foot.............x pounds

$x=\frac{8*100}{1}$

$x=800 pounds$

We will need 800 pounds of sand to fill the sandbox, then we can calculate by rule 3 the number of bags needed and next the total cost of them:

50 pounds.......1bag

800 pounds.....x bags

$x=\frac{800*1}{50} \\x=16$

To calculate the cost:

1 bag ..................$3.50

16 bags.................$x

$x=16*3.50\\x=$56$

To completely fill the sandbox will cost $56

4 0

3 years ago

Reflect the point (7,0) across the y-axis

stiks02 [169]

$A(7,0)\Longrightarrow\boxed{A'(-7,0)}$

Hope this helps.

r3t40

3 0

3 years ago

Read 2 more answers

I need need help on this

Crazy boy [7]

Answer:

points A, B and D are all in the same plane but not all are on the same line

Step-by-step explanation:

points A, C, D are all collinear which means they must also be coplanar

3 0

2 years ago

When inscribing a square in a circle, which of these should have equal lengths? A) a radius of the circle and a diagonal of the

koban [17]

Hope this helps you.

5 0

3 years ago

Read 2 more answers

Ivan and Tanya share £150 in the ratio 4: 1<br>Work out how much more Ivan gets compared to Tanya.

Anastasy [175]

Answer:

Ivan got £90 more than Tanya.

Step-by-step explanation:

Ivan and Tanya share the amount £150 in the ratio of 4 : 1

Amount received by Ivan = $150\times \frac{4}{(4+1)}$

= $150\times \frac{4}{5}$

= £120

Similarly, amount received by Tanya = $150\times \frac{1}{(4+1)}$

= £30

Difference in their amounts = 120 - 30

= £90

Therefore, Ivan got £90 more than Tanya.

7 0

2 years ago