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I am Lyosha [343]
1 year ago
15

Simplify the expression. Use ^ before exponents and parenthesis around fractional exponents: x to the one-half power would be wr

itten x^(1/2).
(81/2 • 51/3)2 =

Mathematics
1 answer:
FromTheMoon [43]1 year ago
6 0

Step-by-step explanation:

(8 {}^{ \frac{1}{2}  }   \times 5 {}^{ \frac{1}{3} } ) {}^{2}  = 8 {}^{ \frac{1}{2}  \times 2 }  \times 5 {}^{ \frac{1}{3}  \times 2}

= 8 \times 5 {}^{ \frac{2}{3} }

So we get

8*5^(2/3))

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A family has two cars. The first car has a fuel efficiency of 15 miles per gallon of gas and the second has a fuel efficiency of
professor190 [17]

The fuel consumption of each of the cars during the week are as follows;

  • The first car consumes <u>20 gallons of fuel</u>.
  • The second car consumes <u>30 gallons of fuel</u>.

Reasons:

Fuel efficiency of the first car = 15 miles per  gallon

Fuel efficiency of the second car = 35 miles per gallon

Combined distance traveled by the two cars in a week = 1,350 miles

The total gas consumption during the week = 50 gallons

Let <em>x</em> represent the number of gallons consumed by the first car, and let <em>y</em>

represent the number of gallons consumed by the second car, we get the

following system of simultaneous equations;

  • 15·x + 35·y = 1,350...(1)
  • x + y = 50...(2)

Therefore;

y = 50 - x

Which gives;

15·x + 35 × (50 - x) = 1,350

15·x + 1,750 - 35·x = 1,350

1,750 - 1,350 = 35·x - 15·x = 20·x

400 = 20·x

x = 400 ÷ 20 = 20

  • The number of gallons consumed by the first car, x = <u>20 gallons</u>

From equation (2), we have;

x + y = 50

y = 50 - x

Therefore;

y = 50 - 20 = 30

  • The number of gallons consumed by the second car, y = <u>30 gallons</u>

Learn more about word problems that lead to simultaneous equations here:

brainly.com/question/1717365

6 0
2 years ago
Please help with theses ? I’m kinda stuck on Algebra ll B. Anybody good on Algebra ?
pentagon [3]

Answer:

answer is b juicy how to do it

8 0
3 years ago
An adult takes 400mg of vitamin c. Each hour, the amount of vitamin c in the person’s system decreases by about 29%. How much vi
nekit [7.7K]

Answer:

1

Step-by-step explanation:

5 0
4 years ago
( 2 7/8 + 3 3/8 ) + 1 1/8 =​
Monica [59]

<em>Look</em><em> </em><em>at</em><em> </em><em>the</em><em> </em><em>attached</em><em> </em><em>picture</em><em>⤴</em>

<em>Hope</em><em> </em><em>this</em><em> </em><em>will</em><em> </em><em>help</em><em> </em><em>u</em><em>.</em><em>.</em><em>.</em>

5 0
3 years ago
ΔABC is similar to ΔMNO. The scale factor from ΔMNO to ΔABC is 3∕2 . If the area of ΔMNO is 10 square units, what's the area of
Andrews [41]

Answer:

The area of ΔABC= 6.667 square units

Step-by-step explanation:

ΔABC is similar to ΔMNO.

The scale factor from ΔMNO to ΔABC is 3∕2

the area of ΔMNO is 10 square units,

The area of ΔABC/the area of ΔMNO

= 2/3

The area of ΔABC/10= 2/3

The area of ΔABC= 2/3 * 10

The area of ΔABC= 20/3

The area of ΔABC= 6 2/3

The area of ΔABC= 6.667 square units

6 0
3 years ago
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