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pav-90 [236]
2 years ago
14

Make a proportion for the following word problem and answer the question.A zippster car can travel 342 miles every 3 hours. How

far can Michelle’s zippster car travel in 14 hours?FOR 25 POINTS
Mathematics
1 answer:
Alexeev081 [22]2 years ago
4 0

Answer:

  1596 miles

Step-by-step explanation:

A suitable proportion can be ...

  \dfrac{\text{miles}}{\text{hours}}=\dfrac{M}{14\text{ h}}=\dfrac{342\text{ mi}}{3\text{ h}}\\\\M=\dfrac{14\cdot 342}{3}\text{ mi}=1596\text{ mi}

We solved it by multiplying both sides by 14 hours. The units of hours cancel, leaving units of miles.

Michelle's car can travel 1596 miles in 14 hours.

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I need help... on my homework it says to write each expression in radical form, or write each radical and exponential form . For
pantera1 [17]

\bf ~\hspace{7em}\textit{rational exponents} \\\\ a^{\frac{ n}{ m}} \implies \sqrt[ m]{a^ n} ~\hspace{10em} a^{-\frac{ n}{ m}} \implies \cfrac{1}{a^{\frac{ n}{ m}}} \implies \cfrac{1}{\sqrt[ m]{a^ n}} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \sqrt{13}\implies \sqrt[2]{13^1}\implies 13^{\frac{1}{2}}

5 0
3 years ago
Triangle A B C has centroid G. Lines are drawn from each point through the centroid to the midpoint of the opposite side to form
d1i1m1o1n [39]

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The length of GF is 254 units.

<h3>What is a triangle?</h3>

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The sum of all the angles of a triangle is always equal to 180°.

Since a centroid of a triangle divides the median into a ratio of 2:1. Therefore, the ratio of AG: DG is,

AG / DG = 2/1

(19x+14)/(9x+20) = 2/1

19x + 14 = 18x + 40

19x - 18x = 40 - 14

x = 26

Assuming the triangle is an equilateral triangle, therefore, the length of GF will be,

GF = DG = 9x+20

GF = DG = 9(26) + 20

GF = 254 units

Hence, the length of GF is 254 units.

Learn more about Triangle:

brainly.com/question/2773823

#SPJ1

6 0
2 years ago
You are creating a set of three numbers that have a GCF of 9. You have 27 and 54 for two of the numbers. A. What is the GCF of 2
melamori03 [73]

Answer:

A. GCF of both is 27

B. By adding 9 and 18 to the set, the GCF of the four numbers become 9

Step-by-step explanation:

A. The GCF of 27 and 54 is 27

GCF represents greatest common factor. It means the highest number which is both a factor of 27 and also a factor of 54. The highest number in this case is 27.

The factors of 27 are ;

1, 3 , 9 , 27

for 54

1,2,3,6,9,18,27 and 54

So we can clearly see that the highest factor in both case is 27

B. Now , we want to add two numbers that will make the GCF to be 9

What about adding 9 and 18?

Let’s have a look;

using the multiples of each;

9 - 1, 3 and 9

18 - 1, 2, 3 , 6 , 9 and 18

27- 1, 3 , 9 and 27

54- 1, 2, 3 , 6, 9, 18, 27 and 54

We can clearly see here that the highest factor that takes all four numbers into consideration is the number 9

3 0
3 years ago
What is the ratio of $2 for 36 erasers
morpeh [17]
2:36  

I hope this helps!
5 0
2 years ago
Read 2 more answers
Express the set in roster form.
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