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3 years ago

7

list three different ways to write 5 (with an exponents of 11) as the product of two powers. explain why all three of you expres

sions are equal to 5 with an exponent of 11...

2 answers:

Lady bird [3.3K]3 years ago

7 0

Ok i got it its 5^1 5^3 5^8 and 5^10 lol yw

balu736 [363]3 years ago

5 0

when multiplying a number to a power, you add the powers.

for example 5^3 x 5^8 = 5^11

you can do the same with 2&9, 4&7, 5&6

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Ray has found that his new car gets 31 miles per gallon on the highwayand 26 miles per gallon in the city. He recently drove 285

Mkey [24]

Answer:

$Highway = 155\ miles$

$City = 130\ miles$

Step-by-step explanation:

Given

$Highway = 31mi/gallon$

$City = 26mi/gallon$

$Total\ Miles = 285$

$Total\ Gallons = 10$

Required

Determine the number of miles driven on the highway and on the city

Represent the gallons used on highway with h and on city with c.

So, we have:

$c + h = 10$ ---- gallons used

and

$31h + 26c = 285$ --- distance travelled

In the first equation, make c the subject

$c = 10 - h$

Substitute 10 - h for c in the second equation

$31h + 26c = 285$

$31h + 26(10 - h) = 285$

Open bracket

$31h + 260 - 26h = 285$

Collect like terms

$31h - 26h = 285 - 260$

$5h = 25$

Make h the subject

$h = \frac{25}{5}$

$h = 5$

Substitute 5 for h in $c = 10 - h$

$c = 10 - 5$

$c = 5$

If on the highway, he travels 31 miles per gallon, then his distance on the highway is:

$Highway = 31 * 5$

$Highway = 155\ miles$

If in the highway, he travels 26 miles per gallon, then his distance on the highway is:

$City = 26 * 5$

$City = 130\ miles$

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2 years ago

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SpyIntel [72]

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2 years ago

Please help!! Is it possible to prove that the triangles are congruent by using the AAS Congruence Theorem?

goldenfox [79]

Answer:

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2 years ago

Suppose 2 /7 of students in your school wore shorts today. How many students would you have to select randomly, on average, in o

Sveta_85 [38]

Answer: 49 students

Step-by-step explanation:

2 /7 of students in a school wore shorts today. The number of students to be selected in order to get 14 students who will wear shorts to school will be:

Let the number of students that will be sampled be y. This will be:

2/7 of y = 14

2/7 × y = 14

2y/7 = 14

Cross Multiply

2y = 7 × 14

2y = 98

y = 98/2

y = 49

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3 years ago

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Y_Kistochka [10]

1 - 3/5 = 5/5 - 3/5 = 2/5 = 0.4 = 40%

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3 years ago