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Fittoniya [83]
3 years ago
14

One side of a rectangle is 3 inches shorter than the other side, and the perimeter is 54 inches. What are the dimensions of the

rectangle?
Which of the following equations could be used to solve the problem?

2x + 2(x - 3) = 54
2x + 2x - 3 = 54
2x - 3 = 54
Mathematics
1 answer:
yaroslaw [1]3 years ago
3 0
Let the length be x and the width be x - 3
Perimeter = 2(length + width) = 2(x + x - 3) = 54
2x + 2(x - 3) = 54
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Solve using the quadratic formula: 2x^2=8x-7. There are four parts to this question labeled A-D.
Tasya [4]

3x=2+4x I think I don’t know
4 0
2 years ago
Elijah brought a total of 16 pounds of peanuts and cashew nuts and paid $49.50 if peanuts cost $2.75 per pound and cashews nuts
maria [59]

Answer:

The number of pounds of cashew is 11

Step-by-step explanation:

Let P represent the peanut

Let C represent the cashew nut.

From question, we were told that Elijah brought a total of 16 pounds of peanuts and cashew nuts. This can be written as:

P + C = 16 (1)

The total cost = $49.50

Cost per peanut = $2.75

Cost per cashew = $3.25

The above can be represented as:

49.50 = 2.75P + 3.25C. (2)

From equation 1,

P + C = 16

P = 16 — C

Substitute the value of P into equation 2:

49.50 = 2.75P + 3.25C.

49.50 = 2.75(16 — C) + 3.25C

49.50 = 44 — 2.75C + 3.25C

49.50 = 44 + 0.5C

Collect like terms

49.50 — 44 = 0.5C

5.5 = 0.5C

Divide both side by 0.5

C = 5.5/0.5

C = 11

Therefore, the number of pounds of cashew is 11

8 0
3 years ago
Please help .......You are guaranteed a minimum salary of $2000 per month PLUS 5.75% 5 points
RUDIKE [14]

Answer:

6600

Step-by-step explanation:

0.0575*80000=4600

4600+minimum salary which is 2000=6600

(can I get brainliest please)

5 0
3 years ago
The data represents the number of runs allowed by 8 college softball pitchers. {18, 49, 38, 41, 33, 44, 42, 22}
lawyer [7]

This Question is incomplete

Complete Question:

The data represents the number of runs allowed by 8 college softball pitchers. {18, 49, 38, 41, 33, 44, 42, 22}

What is the five number summary:

a) Minimum

b) Q₁

c) Median

d) Q₃

e) Maximum

Answer:

a) Minimum = 18

b) Q₁ = 27.5

c) Median = 39.5

d) Q₃ = 43

e) Maximum = 49

Step-by-step explanation:

From the above diagram, we were given the following set of data.

{18, 49, 38, 41, 33, 44, 42, 22}

Before answering any of the questions, we have to rearrange the data from the lowest to the highest (ascending order). Hence, we have:

{18, 22, 33, 38, 41, 42, 44, 49}

a) Minimum

{18, 22, 33, 38, 41, 42, 44, 49}

Looking at this set of arranged data, the minimum number is the least or lowest number.

This number is 18

b) Q₁

{18, 22, 33, 38, 41, 42, 44, 49}

Q₁ means First Quartile. The formula is = ¼(n + 1)th value

n = Number of terms in the data set = 8

= ¼(8 + 1)th value

= ¼(9)th value

= 2 1/4 value

= 2.25 value

In the above Question, the 2.25 value is the value between the second and third number.

Hence:

22+33/2 = 55/2 = 27.5

Therefore, Q₁ = 27.5

c) Median

{18, 22, 33, 38, 41, 42, 44, 49}

The median of the number is the number in the middle

For this data, we have 8 number, Hence the median is the sum of the 4th and 5th term divided by 2

4th term = 38

5th term = 41

= 38 + 41/ 2 = 79/2

= 39.5

Hence, the median = 39.5

d) Q₃

{18, 22, 33, 38, 41, 42, 44, 49}

Q₃ means Third Quartile. The formula is = ¾(n + 1)th value

n = Number of terms in the data set = 8

= ¾(8 + 1)th value

= ¾(9)th value

= 6 3/4 value

= 6.75 value

In the above Question, the 6.75 value is the value between the sixth and seventh number.

Hence:

42+44/2 = 86/2 = 43

Therefore, Q₃ = 43

e) Maximum

{18, 22, 33, 38, 41, 42, 44, 49}

Looking at this set of arranged data, the Maximum number is the highest number.

This number is 49

6 0
3 years ago
Need help with number 4
anastassius [24]
Find the common denominators. for the miles 5 and 3 go into 15. so 2/5 times 3 is 6/15. and 2/3 times 5 is 10/15. for the hours 5 and 9 go into 45. 1/5 times 9 is 9/45. and 2/9 times 5 is 10/45. so Susan ran 6/15 of a mile in 9/45 of an hour. and Kim ran 10/15 of a mile in 10/45 of an hour.

so Kim ran 3 miles in an hour. Susan ran 2 miles in an hour.
8 0
3 years ago
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