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kvasek [131]
3 years ago
9

A long distance runner can run 2 miles every 17 minutes. At this rate how ling would it take the runner to run 16 miles.

Mathematics
2 answers:
VLD [36.1K]3 years ago
6 0

Answer:

136 minutes

Step-by-step explanation:

Given :

2 miles ----> takes 17 min

1 mile -----> takes 17/2 min

hence the unit rate is (17/2) min per mile

Thus, 16 miles will take

= (17/2) miles per min x 16 miles

= (17/2) x 16

= 136 minutes

Lesechka [4]3 years ago
4 0

Answer:

136 min

Step-by-step explanation:

lets make it simple.

2 miles / 17 min = 16 miles / x

just cross multiply

2 x = 17 (16)

2 x = 272

x = 272 / 2

x = 136 min

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I need help with this math problem.
user100 [1]
<h3>Answer: Choice B) </h3><h3>-6x - 2y = 12</h3>

===============================================

Explanation:

The x intercept is (-2,0) which is where the graph crosses the x axis.

The y intercept is (0,-6) which is where the graph crosses the y axis.

-----

Find the slope of the line through those two points

m = (y2-y1)/(x2-x1)

m = (-6-0)/(0-(-2))

m = (-6-0)/(0+2)

m = -6/2

m = -3

-----

The y intercept (0,-6) leads to b = -6

Both m = -3 and b = -6 plug into y = mx+b to get

y = mx+b

y = -3x+(-6)

y = -3x-6

-----

Now add 3x to both sides

y = -3x-6

y+3x = -3x-6+3x

3x+y = -6

-----

Lastly, multiply both sides by -2 so that the "-6" on the right hand side turns into "12" (each answer choice has 12 on the right hand side)

3x+y = -6

-2(3x+y) = -2(-6)

-2(3x)-2(y) = 12

-6x-2y = 12

which is what choice B shows.

5 0
3 years ago
Pls help i give lots of points
bulgar [2K]
I think it’s C if it’s wrong lmk and i can fix it
5 0
2 years ago
Read 2 more answers
In a study of the accuracy of fast food​ drive-through orders, one restaurant had 36 orders that were not accurate among 324 ord
tia_tia [17]

Answer:

We do not have sufficient evidence to reject the claim that ,the rate of inaccurate orders is equal to​ 10%.

Step-by-step explanation:

We want to use a 0.01 significance level to test the claim that the rate of inaccurate orders is equal to​ 10%.

We set up our hypothesis to get:

H_0:p=0.10------->null hypothesis

H_1:p\ne0.10------>alternate hypothesis

This means that: p_0=0.10

Also, we have that, one restaurant had 36 orders that were not accurate among 324 orders observed.

This implies that: \hat p=\frac{36}{324}=0.11

The test statistics is given by:

z=\frac{\hat p-p_0}{\sqrt{\frac{p_0(1-p_0)}{n} } }

We substitute to obtain:

z=\frac{0.11-0.1}{\sqrt{\frac{0.1(1-0.1)}{324} } }

This simplifies to:

z=0.6

We need to calculate our p-value.

P(z>0.6)=0.2743

Since this is a two tailed test, we multiply the probability by:

The p-value is 2(0.2723)=0.5486

Since the significance level is less than the p-value, we fail to reject the null hypothesis.

We do not have sufficient evidence to reject the claim that ,the rate of inaccurate orders is equal to​ 10%.

3 0
3 years ago
If angle 8=110 degrees what does angle 3
den301095 [7]

Answer:

d

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
You buy 3 tickets for $48 total for the jazz concert on
statuscvo [17]

Answer: Friday night. Least expensive ticket

Step-by-step explanation:

Friday night.: 48/3 =16 so each ticket costs $16

Saturday night 36/2= 18 so each ticket costs $18

Brother collects 96/6 = 16. So each person had enough for a $16 ticket. They can go to the Friday night concert. They paid for the least expensive ticket.

8 0
3 years ago
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