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Anton [14]
1 year ago
10

Madeline drove 180 miles in 4 hours. If she drove at a constant rate, how far did shetravel in one hour?On the double number lin

e below, fill in the given values, then use multiplication ordivision to find the missing value.

Mathematics
1 answer:
Tcecarenko [31]1 year ago
8 0

We have a question on motion with the elements of distance, time taken and speed.

This question in particular is asking us for distance per unit time (in this case, hours).

We are required to find out how much distnace is covered in on hour and our approach will be as follows:

\text{Speed= }\frac{\text{Distance}}{\text{time}}=\frac{180\text{miles}}{4\text{hours}}=\frac{45\text{ miles}}{1\text{ hour}}

This right here just tells us that 4 hours, Madeline covered 180 miles and since her rate was constant (equal distances in equal times), then she also covered 45 miles in an hour.

Now we plot our number line.

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The value of x is??!!
Rashid [163]

Answer:

x = 4.56

Step-by-step explanation:

57 + x + 25x + x = 180

27x + 57 = 180

27x = 123

x = 4.56

7 0
3 years ago
3y-3.5/3y+6=17/25.5. find the value of y. give the scale factor of the polygon
Mekhanik [1.2K]

Hi the answer to your question is

 

((3y - 3.5) / (3y + 6)) * 25.5 = (17 / 25.5) * 25.5

((3y - 3.5) / (3y + 6)) * 25.5 = 17 (76.5y - 89.25) / (3y + 6) = 17

((76.5y - 89.25) / (3y + 6)) * (3y + 6) = 17 * (3y + 6) 76.5y - 89.25 = 51y + 102 76.5y - 51y = 102 + 89.25

25.5y = 191.25

y = 191.25 / 25.5

<span>y = 7.5</span>

3 0
3 years ago
Mrs.Welch needs to buy some cat food . If each can costs $0.79 and she has a coupon for $2 off the entire purchase, how many can
allochka39001 [22]

Answer:

11 cans of cat food...........

Step-by-step explanation:

£0.79 x 11 = £8.69

£8.69 - £2 = 6.69

6 0
3 years ago
Read 2 more answers
Which quadratic equation is equivalent to (x + 2)^2 + 5(x + 2) - 6 = 0?
Ber [7]

Answer:

x^2 + 9x + 8 = 0

Step-by-step explanation:

First, we have to simplify this quadratic equation:

(x+2)^2 + 5(x+2) - 6 = 0

x^2 + 4x + 4 + 5x + 10 - 6 = 0

x^2 + 9x + 8 = 0

5 0
2 years ago
According to a Gallup survey conducted in July 2011, 20% of Americans favor reducing the U.S. budget deficit by using spending c
Yakvenalex [24]

Answer:

Option C is correct.

The test statistic for this question is -3.13

Step-by-step explanation:

To compute the z-test statistic, the formula is given as

z = (x - μ₀)/σₓ

x = p = sample proportion of the 500 college students sampled, that favor reducing the deficit using only spending cuts with no tax increase = (75/500) = 0.15

μ₀ = p₀ = the proportion to be compared against, that is, the proportion of Americans that favor reducing the U.S. budget deficit by using spending cuts only, with no tax increases = 20% = 0.20

σₓ = standard error of the sample proportion = √[p(1-p)/n]

p = 0.15

n = Sample size = 500

σₓ = √[0.15×0.85/500] = 0.01597

z = (0.15 - 0.20) ÷ 0.01597

z = -3.13

Hope this Helps!!!

8 0
3 years ago
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