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11Alexandr11 [23.1K]
2 years ago
11

Write 7 × √7 as a single power of 7.

Mathematics
2 answers:
Natasha2012 [34]2 years ago
7 0

Answer:

{7}^{ \frac{3}{2} }

Step-by-step explanation:

\sqrt{7}  \: can \: also \: be \: written \: as \:  {7}^{ \frac{1}{2} }

We can use this information to rewrite the original expression:

7 \times  {7}^{ \frac{1}{2} }

7 can also be written as

{7}^{1}

Remember that when multiplying exponents, if they have the same base, we can add the exponents. Therefore:

{7}^{1}  \times  {7}^{ \frac{1}{2} }  \\  {7}^{1 +  \frac{1}{2} }  \\  {7}^{1 \frac{1}{2} }   \\  {7}^{ \frac{3}{2} }

maw [93]2 years ago
3 0

Answer:

7 x 2.6

Step-by-step explanation:

the square root of 7 is exactly 2.645751311064591, so in this case I converted it to a smaller number, using tenths place.

solution:

7 x 2.6 = 18.2

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3 years ago
Two people share £350 in the ratio 1 : 6.<br><br><br>Calculate each share.
EleoNora [17]

Answer:

£50 and £300

Step-by-step explanation:

Sum the parts of the ratio 1 + 6 = 7 parts

Divide the amount by 7 to find the value of one part of the ratio

£350 ÷ 7 = £50 ← value of 1 part of ratio

Hence

1 person receives £50

the other person receives 6 × £50 = £300

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3 years ago
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Vikentia [17]

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Step-by-step explanation:

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3 years ago
Two groups of staff at a store are making flowers to decorate the entrance. If Group A were to do it alone, it would take them 1
Tcecarenko [31]

Answer:

\dfrac{6750}{7}

Step-by-step explanation:

Let x be the number of flowers. If Group A were to make x flowers alone, it would take them 10 hours to complete the task, then they make \dfrac{x}{10} flowers in an hour.  If Group B were to make x flowers alone, it would take them 15 hours to complete the task, then they make \dfrac{x}{15} flowers in an hour.

The groups decided to work together. They can make \dfrac{x}{10}+\dfrac{x}{15}=\dfrac{x}{6} together in an hour and it takes them \dfrac{x}{\frac{x}{6}}=6 hours. Group B took a break for 1 hour and 40 minutes (1\dfrac{2}{3} hour), then Group B works

6-1\dfrac{2}{3}=4\dfrac{1}{3} hours.

Thus,

\dfrac{x}{10}\cdot 6-\dfrac{x}{15}\cdot 4\dfrac{1}{3}=300,\\ \\\dfrac{3x}{5}-\dfrac{13x}{45}=300,\\ \\14x=300\cdot 45=13500,\\ \\x=\dfrac{13500}{14}=\dfrac{6750}{7}.

6 0
3 years ago
Restaurant is making hamburgers. The cooks use
likoan [24]

Answer:

70.69

Step-by-step explanation:

46 2/3 divided by 2/3

46.66 divided by 0.66

The anwser is 70.69

If the cook makes twice as much beef then the number of hamburgers would be two times larger which would be 141.39.

Half as much beef would be 70.69 divided by two which is 35.34.

5 0
3 years ago
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