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3 years ago

A box of 200 rubber bands costs $1.20. what is the unit price of the rubber bands?

Mathematics

1 answer:

WINSTONCH [101]3 years ago

4 0

Answer:

0.006 cents

Step-by-step explanation:

divide 1.20 with 200

since a unit price is 1 of something

so 1.20 divided by 200 = 0.006 cents.

0.006 is your answer.

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Which describes the graph of y=(x+6)^2+1?

Fittoniya [83]

C. Vertex at (-6,1)

3 0

3 years ago

Anty was riding his bike to school at a speed of 12 mph. When he was of the way there, he got a flat tire. His mother drove him

NemiM [27]

Complete question:

Anty was riding his bike to school at a speed of 12 mph. When he was half of the way there, he got a flat tire. His mother drove him the rest of the way at a speed of 48 mph. What was his average speed?

Answer:

His average speed is 19.2 mph

Step-by-step explanation:

Given;

speed of Anty to school half of the way, v₁ = 12 mph

speed of Anty when his mother drove him half of the way, v₂ = 48 mph

The average speed of Anty is calculated as;

$V_{average} = \frac{Total \ distance }{Total \ time }$

The value of the average speed is closer to 12 mph than 48 mph because Anty spent more time moving at 12 mph than at 48 mph.

Let the equal distance travel at each speed = 96 miles

Time taken at 12 mph = $\frac{96 \ mile}{12 \ m/h} = 8 \ hours$

Time taken at 12 mph = $\frac{96 \ mile}{48 \ m/h} = 2 \ hours$

Average speed = $\frac{Total \ distance}{Total \ time } = \frac{96 \ mile \ + \ 96 \ mile}{2\ hr \ + \ 8\ hr} = \frac{192 \ miles}{10 \ hrs} = 19.2 \ mph$

Also, you can assume any other equal distance traveled at each speed, the average speed will still be 19.2 mph.

Check: let the equal distance traveled at each speed = 480 miles

Time taken at 12 mph = 480/12 = 40 hours

Time taken at 48 mph = 480/ 48 = 10 hours

Average speed = (480 + 480) / (40 + 10)

= 19.2 mph

8 0

2 years ago

In the U.S., 95% of children have received their DTaP vaccine. Calculate the probability that fewer than 700 out of a sample of

Studentka2010 [4]

Answer:

0.0183

Step-by-step explanation:

The percentage of students, who received their DTaP vaccine is 95%.

This implies that:

$p = 0.95$

and

$q = 1 - 0.95 = 0.05$

The standard deviation of the proportion is

$= \sqrt{ \frac{pq}{n} }$

$= \sqrt{ \frac{0.95 \times 0.05}{750} } \\ = 0.00796$

We want to find the probability, that the sample proportion,

$\hat p \leqslant \frac{700}{750} \\ \hat p \leqslant 0.9 \bar3$

$P(\hat p\le0.9\bar3)=P(Z\le \frac{0.9 \bar3 - 0.95 }{0.00796} ) \\ = P(Z\le - 2.09) \\ = 0.0183$

5 0

3 years ago

What is the slope of the line that contains these points? xxx -4−4minus, 4 -3−3minus, 3 -2−2minus, 2 -1−1minus, 1 yyy 222 555 88

Charra [1.4K]

Given:

The table of values is

x y

-4 2

-3 5

-2 8

-1 11

To find:

The slope of the line that contains these points.

Solution:

From the given table consider any two point.

Let the line passes through the points (-4,2) and (-3,5). So, the equation of the line is

$y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)$

$y-2=\dfrac{5-2}{-3-(-4)}(x-(-4))$

$y-2=\dfrac{3}{-3+4}(x+4)$

$y-2=\dfrac{3}{1}(x+4)$

Using distributive property, we get

$y-2=3x+12$

$y=3x+12+2$

$y=3x+14$

Therefore, the required equation of line is $y=3x+14$ .

4 0

2 years ago

Select the correct answer from each drop-down menu. A bag contains one green ball, one yellow ball, one red ball, and one blue b

Iteru [2.4K]

Answer:Y, R, B, G

Step-by-step explanation:

Order matters since the ball is being replaced each time. This is all the possible combinations to take 2 balls with replacement, so you can look at the list and see that RR, RB, and RG are listed. The only other combination when choosing a red first would be to pick a yellow, so RY. This is the same pattern for the others also. Look at the list and see what combinations are already listed.

6 0

3 years ago