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Nesterboy [21]
3 years ago
9

Find the unit rate for 25 miles in 2 hours.

Mathematics
1 answer:
Svetlanka [38]3 years ago
8 0

Answer:

12.5 miles per hour

Step-by-step explanation:

This is a fraction equal to

25 miles ÷ 2 hours

We want a unit rate where

1 is in the denominator,

so we divide top and bottom by 2

<u>25 miles </u>÷ 2

2 hours ÷ 2

<u>12.5 miles</u>

1 hour  

= 12.5 miles per hour

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Janice wants to create a test containing 20 questions worth 50 points. If Janice creates questions worth either two points or fo
Elena L [17]

Answer:

15 two-point questions and 5 four-point questions.

Step-by-step explanation:

Let x represent number of two-points questions and y represent number of four-points questions.

We have been given that Janice wants to create a test containing 20 questions. We can represent this information in an equation as:

x+y=20...(1)

Since all questions are worth 50 points. We can represent this information in an equation as:

2x+4y=50...(2)

From equation (1), we will get:

x=20-y

Upon substituting this value in equation (2), we will get:

2(20-y)+4y=50

40-2y+4y=50

40+2y=50

40-40+2y=50-40

2y=10

\frac{2y}{2}=\frac{10}{2}

y=5

Therefore, there are 5 questions that are worth 4 points each.

Now, we will substitute y=5 in equation (1) to solve for x.

x+5=20

x+5-5=20-5

x=15

Therefore, there are 15 questions that are worth 2 points each.

3 0
3 years ago
Samuel wrote the equation in slope-intercept form using two points of a linear function represented in a table. Analyze the step
madam [21]

In step 3, he substituted the wrong values for m and b. is the answer.

7 0
3 years ago
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Standardized tests: In a particular year, the mean score on the ACT test was and the standard deviation was . The mean score on
Scorpion4ik [409]

Complete question :

Standardized tests: In a particular year, the mean score on the ACT test was 19.3 and the standard deviation was 5.3. The mean score on the SAT mathematics test was 532 and the standard deviation was 128. The distributions of both scores were approximately bell-shaped. Round the answers to at least two decimal places. Part: 0/4 Part 1 of 4 (a) Find the z-score for an ACT score of 26. The Z-score for an ACT score of 26 is

Answer:

1.26

Step-by-step explanation:

Given that:

For ACT:

Mean score, m = 19.3

Standard deviation, s = 5.3

Zscore for ACT score of 26;

Using the Zscore formula :

(x - mean) / standard deviation

x = 26

Zscore :

(26 - 19.3) / 5.3

= 6.7 / 5.3

= 1.2641509

= 1.26

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3 years ago
Hi everyone! I would appreciate if you could help me with this since im about to fail :)))
jeyben [28]

Answer:

Line YV.

Step-by-step explanation:

A line contains two infinite arrows, no endpoints.

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3 years ago
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Answer:

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