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Svetlanka [38]
2 years ago
11

A motorist traveled to a distant city in 2 hours and returned by another route that is 30 miles long. On the return trip, she tr

aveled 10 miles per hour faster and took 6 minutes longer. Find the length of the shorter route. Please answer quickly!!!! Plzzzzzzzzzzzzzzzzzzzzzzzzz
Mathematics
2 answers:
Temka [501]2 years ago
7 0

Answer:

180 miles

Step-by-step explanation:

180 miles

IRISSAK [1]2 years ago
6 0

Answer:

180 miles

Step-by-step explanation:

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If the area of the rectangle is given by the polynomial 2x^2-7x-15, what is the dimension of the reactangle in terms of x?​
Irina18 [472]

Answer:

  • x - 5 and 2x + 3

Step-by-step explanation:

<h3>Given</h3>
  • Area of rectangle = 2x^2 - 7x - 15
<h3>To find</h3>
  • Dimensions of rectangle
<h3>Solution</h3>

<u>Since the area is the product of the sides, let's try to factorize the given:</u>

  • 2x^2 - 7x - 15=
  • 2x^2 - 10x + 3x - 15 =
  • 2x(x - 5) + 3(x - 5) =
  • (x - 5)(2x + 3)

<u>So the dimensions are:</u>

  • x - 5 and 2x + 3

4 0
2 years ago
You found $6.60 on the ground at school, all in nickels, dimes, and quarters. you have twice as many quarters as dimes and 42 co
Veseljchak [2.6K]
Let the number of nickels found be n, the number of dimes be d and the number of quarters be q.

i) "you have twice as many quarters as dimes and 42 coins in all."

means that 2d=q, and n+d+q=42

we can reduce the number of unknowns by substituting q with 2d:

n+d+q=42
n+d+2d=42
n+3d=42

We can write all n, d and q in terms of d as follows:

there are n=42-3d nickels, d dimes and q=2d quarters.

ii) In total there are $6.60 dollars,

1 nickel     =  5 cent   =  $0.05
1 dime      =  10 cent  =  $0.1
1 quarter   =  25 cent  = $0.25 

thus

(42-3d)*0.05 + d*0.1 +2d*0.25= $6.60

2.1 - 0.15d+0.1d+0.5d=6.60

2.1+0.45d=6.6

0.45d=6.6-2.1=4.5

d=4.5/0.45=10

iii)

so, there are 10 dimes, 2d=2*10=20 quarters and 42-3d=42-3*10=12 nickels.


Answer: 10 dimes, 20 quarters, 12 nickels
8 0
2 years ago
Periodically, Merrill Lynch customers are asked to evaluate Merrill Lynch financial consultants and services. Higher ratings on
Vlada [557]

Answer:

See the explanation

Step-by-step explanation:

(a)  

H0: Consultant with more experience has the higher population mean service rating.

H1: Consultant with more experience doesn't have the higher population mean service rating.

(b)  

t = 1.9923 (see the attached image)

(c)

The degrees of freedom for the test statistic,

df = 16

The P-value of the one tailed t- test with 16 degrees of freedom is,

P−value = tdist(X,df,tails)

P-value = tdist(1.9923,16,1)

P-value = 0.032

(d)​

Since, P-value 0.032 is less than the significance level 0.05, there is an enough evidence to reject the null hypothesis.

Hence, there is a sufficient evidence to conclude that Consultant with more experience doesn't have the higher population mean service rating.

Hope this helps!

8 0
2 years ago
Rusty is training for a triathlon. He runs 4miles for every 9 miles he bikes. At the end of his training, he has run o total of
Neporo4naja [7]

Answer:

Rusty bikes for 207 miles

Step-by-step explanation:

Because 23 times 4 gives you 92 so you have to also multipy 9 by 23 gives you 207 miles. So Rusty biked for 207 miles. Hoped this helped.

8 0
2 years ago
Lisa's test grades are 79, 89, and 90. there will be one more test this year. if lisa wants her test average to be at least 88,
erik [133]
For this case, what we are going to do first is to assume that all the exams are worth the same percentage of the final grade.
 We have then that Lisa's average grade point equation is:
 88 =  \frac{79 + 89 + 90 + x}{4}
 Where,
 x: minimum note that lisa must obtain in the last exam.
 Clearing x we have:
 x = (88 * 4) - (79 + 89 + 90)&#10;&#10;x = 94
 Answer:
 
the lowest grade she can get on her last test is:
 
x = 94
5 0
2 years ago
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