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stealth61 [152]
3 years ago
5

Alison does 8 math problems in 2 minutes. How long will it take her to do a set of 160 problems?

Mathematics
2 answers:
Sholpan [36]3 years ago
7 0

Answer:

40 minutes.

Step-by-step explanation:

Hi there! I'm glad I was able to help you solve this problem!

We are given that Alison does 8 math problems in TWO minutes.

Considering this, we can conclude that Alison can do FOUR math problems in ONE minute. (That's pretty impressive, if you ask me!)

To recap how I solved this, I put 8/2 in simplest form, which left me with 4/1.

NOTE: Per 1 minute, Alison completes 4 problems.

By doing mental math myself, I concluded that my answer was 40 minutes for Alison to complete 160 math problems. I had to check it, though!

The GCF (Greatest Common Factor) of 160 and 40 was 40.

I divided both terms by the GCF, which is again 40.

160 ÷ 40 = 4

40 ÷ 40 = 1

This brings us back to our improper fraction in simplest form 4/1!

Therefore, Alison will take about 40 minutes to complete a set of 160 problems.

I hope this helped you out! Comment below if I can help you with anything else! :)

erastovalidia [21]3 years ago
5 0

Answer:

40 min

Step-by-step explanation:

find unit rateeee  p=problems

8 p= 2 min

8/2=4

so Alison can do 4 math problems per minute

so 160/4= 40 minutes

hope this helps

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hodyreva [135]
This is a linear function, of the kind y = mx + b

where x is the number of visit,  b is the weight when x = 0, and m is the predicted change of weight for every visit.

m = - 4 ounces / visit, which must be converted to pounds (the negative sign indicates that the change is a decrease)

1 lb = 16 ounces = 4 ounces = 0.25 lb

Then m = - 0.25 lb / visit.

Now, for x = 1, y = 126 => 126 = - 0.25(1) + b => b = 126 + 0.25 = 126.25

Then the function is y = 126.25 - 0.25x

Now round to the nearest tenth:

y = 126.3 - 0.3x

Answer: y = 126.3 - 0.3x

 

6 0
3 years ago
HELP ME PLEASE HURRY!!!!!!
sladkih [1.3K]

Answer:

C

Step-by-step explanation:

The minimum you can stay is 1 night, which would be 100 dollars. Since there's a fee, and can only stay 7 nights, the max number would be 900.

3 0
3 years ago
Which statements are true about the graph of the function f(x) = x2 – 8x + 5? Check all that apply.
statuscvo [17]

Answer:

A, D, E are true

Step-by-step explanation:

You have to complete the square to prove A.  Do this by first setting the function equal to 0, then moving the 5 to the other side.

x^2-8x=-5

Now we can complete the square.  Take half the linear term, square it, and add it to both sides.  Our linear term is 8 (from the -8x).  Half of 8 is 4, and 4 squared is 16.  So we add 16 to both sides.

(x^2-8x+16)=-5+16

We will do the addition on the right, no big deal.  On the left, however, what we have done in the process of completing the square is to create a perfect square binomial, which gives us the h coordinate of the vertex.  We will rewrite with that perfect square on the left and the addition done on the right,

(x-4)^2=11

Now we will move the 11 back over, which gives us the k coordinate of the vertex.

(x-4)^2-11=y

From this you can see that A is correct.

Also we can see that the vertex of this parabola is (4, -11), which is why B is NOT correct.

The axis of symmetry is also found in the h value.  This is, by definition, a positive x-squared parabola (opens upwards), so its axis of symmetry will be an "x = " equation.  In the case of this type of parabola, that "x = " will always be equal to the h value.  So the axis of symmetry is

x = 4, which is why C is NOT correct, either.

We can find the y-intercept of the function by going back to the standard form of the parabola (NOT the vertex form we found by completing the square) and sub in a 0 for x.  When we do that, and then solve for y, we find that when x = 0, y = 5.  So the y-intercept is (0, 5).

From this you can see that D is also correct.

To determine if the parabola has real solutions (meaning it will go through the x-axis twice), you can plug it into the quadratic formula to find these values of x.  I just plugged the formula into my graphing calculator and graphed it to see that it did, indeed, go through the x-axis twice.  Just so you know, the values of x where the function go through are (.6833752, 0) and (7.3166248, 0).  That's why you need the quadratic formula to find these values.

7 0
3 years ago
manufacturing company produces digital cameras and claim that their products maybe 3% defective. A video company, when purchasin
alexdok [17]

Answer:

P(X>17) = 0.979

Step-by-step explanation:

Probability that a camera is defective, p = 3% = 3/100 = 0.03

20 cameras were randomly selected.i.e sample size, n = 20

Probability that a camera is working, q = 1 - p = 1 - 0.03 = 0.97

Probability that more than 17 cameras are working P ( X > 17)

This is a binomial distribution P(X = r) nCr q^{r} p^{n-r}

nCr = \frac{n!}{(n-r)!r!}

P(X>17) = P(X=18) + P(X=19) + P(X=20)

P(X=18) = 20C18 * 0.97^{18} * 0.03^{20-18}

P(X=18) = 20C18 * 0.97^{18} * 0.03^{2}

P(X=18) = 0.0988

P(X=19) = 20C19 * 0.97^{19} * 0.03^{20-19}

P(X=19) = 20C19 * 0.97^{19} * 0.03^{1}

P(X=19) = 0.3364

P(X=20) = 20C20 * 0.97^{20} * 0.03^{20-20}

P(X=20) = 20C20 * 0.97^{20} * 0.03^{0}

P(X=20) = 0.5438

P(X>17) = 0.0988 + 0.3364 + 0.5438

P(X>17) = 0.979

The probability that there are more than 17 working cameras should be 0.979 for the company to accept the whole batch

6 0
3 years ago
The figure below shows a shaded rectangular region inside a large rectangle
Gekata [30.6K]

Answer:

42% i hope its right if not sorry

Step-by-step explanation:

4 0
2 years ago
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