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devlian [24]
1 year ago
10

Translate the following word phrases to an algebraic expression and simplify: “8 times the difference of 6 times a number and 3”

Mathematics
1 answer:
Ostrovityanka [42]1 year ago
3 0

SOLUTION:

Step 1:

In this question, we are meant to:

Translate the following word phrases to an algebraic expression and simplify:



“8 times the difference of 6 times a number and 3”

Step 2:

Assuming the unknown number be y, we have that:

\begin{gathered} 8\text{ ( 6y - 3 )} \\ =\text{ 48 y - 24} \end{gathered}

CONCLUSION:

The final answer is:

48y\text{ - 24}

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If this is the picture the answer is 7cm 

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A sandbox has a volume of 648 cubic feet. what is the volume, in cubic yards, of the sandbox?
Eduardwww [97]
We know that

1 cubic yards equals to--------------> 27 <span>cubic feet
then
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if  </span>1 cubic yards ------------------- 27 ft³
  X----------------------------------> 648 ft³
X=648/27=24 cubic yards

the answer is 24 cubic yards
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3 years ago
A loan company charged 35 percent interest on every dollar borrowed. If a person borrowed 177 dollars, how much would they end u
pav-90 [236]
We know that 35 percent interest is applied on every dollar borrowed.
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8 0
3 years ago
The radius of a spherical balloon is measured as 20 inches, with a possible error of 0.03 inch. Use differentials to approximate
soldi70 [24.7K]

Answer:

a) V = 33510.322\,in^{3}, b) A_{s} = 5026.548\,in^{2}, c) \% V = 0.450\,\%, \%A_{s} = 0.300\,\%.

Step-by-step explanation:

The volume and the surface area of the sphere are, respectively:

V = \frac{4}{3}\pi \cdot r^{3}

A_{s} = 4\pi \cdot r^{2}

a) The volume of the sphere is:

V = \frac{4}{3}\pi \cdot (20\,in)^{3}

V = 33510.322\,in^{3}

b) The surface area of the sphere is:

A_{s} = 4\pi \cdot (20\,in)^{2}

A_{s} = 5026.548\,in^{2}

c) The total differentials for volume and surface area of the sphere are, respectively:

\Delta V = 4\pi\cdot r^{2}\,\Delta r

\Delta V = 4\pi \cdot (20\,in)^{2}\cdot (0.03\,in)

\Delta V = 150.796\,in^{3}

\Delta A_{s} = 8\pi\cdot r \,\Delta r

\Delta A_{s} = 8\pi \cdot (20\,in)\cdot (0.03\,in)

\Delta A_{s} = 15.080\,in^{2}

Relative errors are presented hereafter:

\%V = \frac{\Delta V}{V}\times 100\%

\%V = \frac{150.796 \,in^{3}}{33510.322\,in^{3}}\times 100\,\%

\% V = 0.450\,\%

\% A_{s} = \frac{\Delta A_{s}}{A_{s}}\times 100\,\%

\% A_{s} = \frac{15.080\,in^{2}}{5026.548\,in^{2}}\times 100\,\%

\%A_{s} = 0.300\,\%

4 0
3 years ago
What is 4/7 of 70 apples
AlladinOne [14]

Answer:

40 apples

Step-by-step explanation:

4/7 of 70

1. rewrite in mathematical terms

4/7 * 70

2. solve

4/7 * 70

= 40

8 0
3 years ago
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