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melamori03 [73]

3 years ago

7

At a sale, a shoe store sold 8 pairs of shoes for a total of $256. each pair cost the same amount. what was the price of each pa

ir of shoes?

2 answers:

brilliants [131]3 years ago

7 0

The answer is... $32 per shoe :)

3241004551 [841]3 years ago

4 0

Easy, 256÷8=32, so $32 per shoe

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What is 2/5 divide by 3/4

const2013 [10]

Answer:

8/15

Step-by-step explanation:

(2/5)/(3/4)=(2/5)(4/3)=8/15

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3 years ago

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Triangles ABC and ADC are shown below. Paul claims that triangles ABC and ADC are congruent.

guapka [62]

Answer:

1 no

2 yes

3 no

4 yes

5 no

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4 0

3 years ago

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Help please asap will mark brainliest !

Ber [7]

Answer:

b = 29

Step-by-step explanation:

C x D = A x B

15(11x - 91) = 7(2x + 10)

165x - 1365 = 14x + 70

add 1365 to both sides of the equation:

165x = 14x + 1435

subtract 14x from both sides:

151x = 1435

divide both sides by 151:

x = 9.5

b = 2(9.5) + 10 = 29

8 0

3 years ago

What is the nth term rule of the quadratic sequence below?

Vladimir [108]

Answer:

3n² + 5n - 2

Step-by-step explanation:

<u>Given sequence</u>:

6, 20, 40, 66, 98, 136, ...

Calculate the <u>first differences</u> between the terms:

$6 \underset{+14}{\longrightarrow} 20 \underset{+20}{\longrightarrow} 40 \underset{+26}{\longrightarrow} 66 \underset{+32}{\longrightarrow} 98 \underset{+38}{\longrightarrow} 136$

As the first differences are not the same, calculate the <u>second differences:</u>

$14 \underset{+6}{\longrightarrow} 20 \underset{+6}{\longrightarrow} 26 \underset{+6}{\longrightarrow} 32 \underset{+6}{\longrightarrow} 38$

As the <u>second differences are the same</u>, the sequence is quadratic and will contain an n² term.

The <u>coefficient</u> of the n² term is <u>half of the second difference</u>.

Therefore, the n² term is: 3n²

Compare 3n² with the given sequence:

$\begin{array}{|c|c|c|c|c|}\cline{1-5} n & 1 & 2 & 3 & 4\\\cline{1-5} 3n^2 & 3 & 12 & 27 & 48 \\\cline{1-5} \sf operation & +3&+8 & +13 & +18 \\\cline{1-5} \sf sequence & 6 & 20 & 40 & 66\\\cline{1-5}\end{array}$

The second operations are different, therefore calculate the differences <em>between</em> the second operations:

$3 \underset{+5}{\longrightarrow} 8 \underset{+5}{\longrightarrow} 13\underset{+5}{\longrightarrow} 18$

As the differences are the same, we need to add 5n as the second operation:

$\begin{array}{|c|c|c|c|c|}\cline{1-5} n & 1 & 2 & 3 & 4\\\cline{1-5} 3n^2 +5n & 8&22 & 42 & 68\\\cline{1-5}\sf operation & -2 &-2 &-2 & -2 \\\cline{1-5} \sf sequence & 6 & 20 & 40 & 66\\\cline{1-5}\end{array}$

Finally, we can clearly see that the operation to get from 3n² + 5n to the given sequence is to subtract 2.

Therefore, the nth term of the quadratic sequence is:

3n² + 5n - 2

6 0

1 year ago

The annual 2-mile fun-run is a traditional fund-raising event to support local arts and sciences activities. It is known that th

victus00 [196]

Answer: 0.0228

Step-by-step explanation:

Given : The mean and the standard deviation of finish times (in minutes) for this event are respectively as :-

$\mu=30\\\\\sigma=5.5$

If the distribution of finish times is approximately bell-shaped and symmetric, then it must be normally distributed.

Let X be the random variable that represents the finish times for this event.

z score : $z=\dfrac{x-\mu}{\sigma}$

$z=\dfrac{19-30}{5.5}=-2$

Now, the probability of runners who finish in under 19 minutes by using standard normal distribution table :-

$P(X$

Hence, the approximate proportion of runners who finish in under 19 minutes = 0.0228

8 0

2 years ago