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1 year ago

A four line classified ad costs 25 for a week. Each additional line costs 2. What is the weekly cost for a 12 line ad

Mathematics

1 answer:

faust18 [17]1 year ago

4 0

Answer: 41

Step-by-step explanation:

If each line costs 2, then for the four-line ad, the cost is the initial price plus 4(2), meaning the initial cost is 25-8=17.

Thus, the cost of a 12-line ad is 17+2(12)=41

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Carl collects coins compulsively, but he only likes quarters ($0.25) and dimes ($0.10). Carl currently has 125 coins for a total

Bogdan [553]

Answer:

Carl has 35 dimes and 90 quarters

Step-by-step explanation:

Let the number of quarters be q and the number of dimes be d

Total number of coins is 125;

Hence;

q + d = 125 •••••••••(i)

The total value of quarters present = q * 0.25 = 0.25q

The total value of dimes present = d * 0.1 = 0.1d

Adding both gives the total

0.25q + 0.1d =26 ••••••••(ii)

So we need to solve both equations simultaneously;

From i,

q = 125 - d

Substitute this into ii

0.25(125-d) + 0.1d = 26

31.25 -0.25d + 0.1d = 26

31.25 -26 = 0.25d -0.1d

5.25 = 0.15d

d = 5.25/0.15

d = 35

Recall; q = 125 - d = 125 -35 = 90

7 0

2 years ago

What is 7x-4y+2x+8y in distributive form? I will give brainliest and 100 points. Thank you.

alexgriva [62]

Answer:

4(2 1/4x + y)

Step-by-step explanation:

Just factor

In this cae no GCF

So just divide By 4 becuase its easy

If you solve it

You’d get 9x+4y

WHich is the combined term of the expression given

5 0

2 years ago

Read 2 more answers

How to find the area of 2 half circles and a rectangle

gladu [14]

Hello!

We use different formulas to calculate the areas of different shape.

RECTANGLE:

To find the area of a rectangle, we must simply multiply its length by its width. The formula for its area is:

A = l × w

SEMICIRCLE:

Since the formula for a circle is pi × r × r, we must use the same formula but divide it in half, because a semicircle is a half circle, which is why its area would also be half of a circle's. The formula for a semicircle's area is:

A = 1/2 pi × r × r

Tip:

Write these formulas down and memorize them so that you don't forget them. You'll have to use these formulas quite often when finding the area of these shapes.

6 0

3 years ago

In Pennsylvania the average IQ score is 101.5. The variable is normally distributed, and the population standard deviation is 15

blsea [12.9K]

Answer:

We conclude that the Pennsylvania school district have an IQ higher than the average of 101.5

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 101.5

Sample mean, $\bar{x}$ = 106.4

Sample size, n = 30

Alpha, α = 0.05

Population standard deviation, σ = 15

First, we design the null and the alternate hypothesis

$H_{0}: \mu = 101.5\\H_A: \mu > 101.5$

We use one-tailed z test to perform this hypothesis.

Formula:

$z_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }$

Putting all the values, we have

$z_{stat} = \displaystyle\frac{106.4 - 101.5}{\frac{15}{\sqrt{30}} } = 1.789$

Now, $z_{critical} \text{ at 0.05 level of significance } = 1.96$

Since,

$z_{stat} > z_{critical}$

We reject the null hypothesis and accept the alternate hypothesis.

Thus, we conclude that the Pennsylvania school district have an IQ higher than the average of 101.5

5 0

2 years ago

Which describes the correlation shown?

VladimirAG [237]

<h2>Answer:</h2>

The correlation that is shown in the scatter plot is:

Strong positive.

<h2>Step-by-step explanation:</h2>

From the scatter plot we see that with the increase of one variable the second variable also increases.

Hence, the association is positive.

Also, if we draw a trend line that best represents the scatter plot then not all the points will lie above the line but all the data points are either over the line or very close to the line this means that the correlation coefficient is close to 1 but not exactly equal to 1.

Hence, the correlation is:

Strong positive.

( For perfect positive all the data points should lie above that line i.e. correlation coefficient must be equal to 1)

3 0

3 years ago

Read 2 more answers