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2 years ago

Three Rivers publishes a catalog each year, last year it had 198 pages back and front. We

Mathematics

1 answer:

Mama L [17]2 years ago

6 0

Answer:

$222

Step-by-step explanation:

We need to find how many ream was used in the printing forts, to determine how much the College spent.

The catalog is 198 pages, back and front, which means, 1 leaf will take 2 pages. Therefore, 99 pages were used in printing 1 copy of the catalog.

No of pages that were used in printing 150 copies = 150*99 = 14,850 pages.

If 500 pages = 1 realm, therefore,

14,850 pages = 14,850/500 = 29.7.

Since, it's a full team that is sold, let's approximate the number of reams bought to be 30 reams.

If 1 ream costs $7.40, therefore,

30 reams = 30*7.40 = $222

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Abdullah is a quality control expert at a factory that paints car parts. He knows that 20\ , percent of parts have an error in t

-Dominant- [34]

The error rate has decreased after changing the painting process.

Step-by-step explanation:

Abdulla knows that 20 percent of the parts have an error in their painting. After suggesting changes in painting process, he wants to know whether the error rate has changed.

Number of parts in the random sample=400400400

Number of parts that had an error=606060

We have to determine what percentage of 400400400 is 606060

$606060=x/100 \times 400400400\\=0.15%$

After changing the painting process 0.15% of parts have error.

The previous percentage was 20.Hence the error rate has clearly changed.

3 0

2 years ago

Lisa has $150 at most to spend on clothes. She wants to buy a pair of jeans for $58 and will spend the rest on t-shirts that cos

anzhelika [568]

Answer:

14t + 58 ≤ 150

Step-by-step explanation:

If she cannot spend more than what she has, which is 150, the inequality sign has to be "less than or equal to". It's ok if she spends less than 150, but not ok if she spends more, because she doesn't have it to spend.

We know the cost of 1 pair of jeans is 58. Now she wants to make up the difference by getting as many $14 shirts as possible (the number of shirts being our unknown).

That means that the cost of the jeans PLUS the unknown number of shirts cannot exceed 150.

Therefore, the inequality is:

14t + 58 ≤ 150

4 0

2 years ago

Whitney bought a watch for $107.50. The finance charge was $11 and she paid for it over 6 months.

Anna11 [10]

Answer:

Her proximate APR is 5.1%

Step-by-step explanation:

The formula of the APR is $APR=\frac{FC}{A}$ × $\frac{m}{12}$ × 100%, where

FC is the finance charge
A is the amount financed
m is the number of months

∵ Whitney bought a watch for $107.5

∴ A = 107.5

∵ The finance charge was $11

∴ FC = 11

∵ She paid for it over 6 months

∴ m = 6

- Substitute these values in the formula above

∵ $APR=\frac{11}{107.5}$ × $\frac{6}{12}$ × 100%

∴ APR = 5.11627907%

- Round it to the nearest tenth

∴ APR = 5.1%

Her proximate APR is 5.1%

4 0

2 years ago

What are the x- and y- coordinates of point E, which partitions the directed line segment from J to K into a ratio of 1:4? (–13,

Lana71 [14]

I added a screenshot of the complete question.

Answer:

(-7, -1)

Explanation:

The formulas given to calculated the x and y coordinates are as follows:

$x = (\frac{m}{m+n})(x_{2}-x_{1}) + x_{1}\\\\y = (\frac{m}{m+n})(y_{2}-y_{1}) + y_{1}$

Let's define the variables used:

(x₁ , y₁) are the coordinates of the first point while (x₂ , y₂) are the coordinates of the second point.

We are given that the segment is directed from J to K, therefore:

First point is J ..........> (x₁ , y₁) is (-15, -5)

Second point is K ....> (x₂ , y₂) is (25, 15)

m and n defined the portion of the partitioned segment (JE : EK). It is given that this ratio is 1:4. Therefore:

m = 1 and n = 4

Finally, let's substitute with these variables in the equations as follows:

$x = (\frac{1}{1+4})(25-(-15)) + (-15) = -7\\\\y = (\frac{1}{1+4})(15-(-5)) + (-5) = -1$

Based on the above, the coordinates of point E are (-7, -1)

Hope this helps :)

8 0

2 years ago

Read 2 more answers

Which best describes the numbers satisfying the inequality x less-than 7?

vladimir1956 [14]

Answer:

$x$

Step-by-step explanation:

To find: inequality that describes the numbers x less-than 7

Solution:

An inequality compares two values a and b such that either one is less than i.e., a < b, greater than i.e., a > b, or simply not equal to another value i.e., a ≠ b. It describes a non-equal comparison two mathematical expressions.

Inequality that describes the numbers x less-than 7 is $x$

3 0

2 years ago

Read 2 more answers