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Degger [83]
1 year ago
6

Caleb's car used 8 gallons to travel 144 miles. How far can he travel on 20 gallons

Mathematics
1 answer:
V125BC [204]1 year ago
7 0

Answer:

He will travel 360 miles.

Step-by-step explanation:

Divide 144 by 8. Then multiply your answer by 20.

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Consider this polynomial, where a is an unknown real number.
DENIUS [597]

Answer:

Step-by-step explanation:

Correct steps to find the value of 'a' should be,

Braulio's synthetic division should be,

-1  |     1       5         a          -3           11

   

    <u>            -1        -4        (4 - a)     (a - 1)  </u>

         1      4     (a - 4)     (1 - a)     (a + 10)

Here remainder is (a + 10).

So (a + 10) = 17 ⇒ a = 7

Braulio Incorrectly found a value of 'a' because he should have used (-1) instead of 1.

Zahra's calculation by remainder theorem should be,

p(x) = x⁴ + 5x³ + ax² - 3x + 11

p(-1) = (-1)⁴ + 5(-1)³ + a(-1)² - 3(-1) + 11

      = 1 - 5 + a + 3 + 11

      = (a + 10)

Since, remainder of the solution is 17,

(a + 10) = 17 ⇒ a = 7

Zahra incorrectly found the value of 'a' because she incorrectly solved the powers to (-1).

8 0
2 years ago
Misha solves the equation 3 x minus 2 (x + 3) = 4 (x minus 2) minus 7 by applying the distributive property to each side of the
Anon25 [30]

Answer:

2(x+3)=4

2x+6=4

2x=4-6

2x=-2

2x÷2

x=1

8 0
2 years ago
Read 2 more answers
What is a simplified form of -(14x)^0y^-7z
GenaCL600 [577]
Anything to the power of 0 is one.

Therefore we have:

(1)(y^-7z)

Which simplifies to:

y^-7z
3 0
2 years ago
Read 2 more answers
Shen’s mother gave him $10 to go buy groceries. He picked up a gallon of milk for $3.49, three pounds of oranges that cost $1.14
Vesnalui [34]

Answer:

He estimated there were about $10.40 worth of groceries

Step-by-step explanation:

You want to round the prices up to the nearest tenth and then add them all.

3.50

3.50

1.15

1.15

1.15

___

10.45

So 10.45 is closest to 10.40 and you have to remeber that this is just an estimate so it will be less because we rounded the answer up.

Hope this helps

8 0
1 year ago
Read 2 more answers
Joan conducted a study to see how common binge drinking is on her college campus. She defined "frequent binge drinking" as havin
jenyasd209 [6]

Answer:

z = -1.66

Step-by-step explanation:

Z-statistic:

z = \frac{X - p}{s}

In which X is the found proportion.

p is the mean proportion.

s = \sqrt{\frac{p(1-p)}{n}} is the standard error for the data.

Out of 593 students who replied to her survey, 64 fit this criterion.

This means that X = \frac{64}{593} = 0.108

She finds that the proportion of binge drinkers nationally is 13.1%.

This means that p = 0.131

Also

s = \sqrt{\frac{0.131*0.869}{593}} = 0.014

The z statistic for this data is

z = \frac{X - p}{s}

z = \frac{0.108 - 0.131}{0.014}

z = -1.66

6 0
1 year ago
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