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Zarrin [17]
3 years ago
12

Solve using the unit rate problems find the constant speed 60 miles in 1.5 hours what is the answer.

Mathematics
1 answer:
kherson [118]3 years ago
7 0
40 miles per hour. if you take 60 divided by 1.5(the speed over time) you get 40mph
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Mike took clothes to the cleaners three times last month.​ First, brought 4 shirts and of slacks and paid ​$11.45. Then brought
GenaCL600 [577]

Complete Question:

Mike took clothes to the cleaners three times last month.​ First, brought 4 shirts and 1 pair of slacks and paid ​$11.45. Then brought ​7 shirts, 2 pairs of​ slacks, and 2 sports and paid ​$35.39. ​Finally, brought 5 shirts and 2 sports and paid ​$21.43 . How much was charged for each​ shirt, each pair of​ slacks, and each sports​ coat?

Answer:

The charges

For each Shirt = $1.49

For each pair of slacks = $5.49

For each sports coat = $6.99

Step-by-step explanation:

Let Shirt = a

Let pair of slacks = b

Let sports coat = c

First, brought 4 shirts and 1 pair of slacks and paid ​$11.45

= 4a + b = 11.45 ..........Equation 1

b = 11.45 - 4a

Then brought ​7 shirts, 2 pairs of​ slacks, and 2 sports and paid ​$35.39

= 7a + 2b + 2c = 35.39.........Equation 2

5 shirts and 2 sports and paid ​$21.43

5a + 2c = 21.43............Equation 3

Hence:

4a + b = 11.45 ..........Equation 1

7a + 2b + 2c = 35.39.........Equation 2

Using elimination method

Multiply Equation 2 by the coefficient of b = 1 in Equation 1

Multiply Equation 1 by the coefficient of b = 2 in Equation 2

8a + 2b = 22.9 .......Equation 4

7a + 2b + 2c = 35.39.........Equation 2

Subtracting Equation 2 from Equation 4

= a - 2c = -12.49 ........Equation 5

a = -12.49 + 2c

Subtituting -12.49 + 2c for a in Equation 3

5a + 2c = 21.43............Equation 3

5(-12.49 + 2c) + 2c = 21.43

= -62.45 + 10c + 2c = 21.43

Collecting like terms

10c + 2c = 21.43 + 62.45

12c = 83.88

c = 83.88/12

c = 6.99

5a + 2c = 21.43............Equation 3

Substituting 6.99 for c in Equation 3

5a + 2(6.99) = 21.43

5a + 13.98 = 21.43

5a = 21.43 - 13.98

5a = 7.45

a = 7.45/5

a = 1.49

4a + b = 11.45 ..........Equation 1

Substituting 1.49 for a in Equation 1

4(1.49) + b = 11.45

b = 11.45 - 4(1.49)

b = 11.45 - 5.96

b = 5.49

Therefore, since the charges

For each shirt = a

The charges for each Shirt = $1.49

For each pair of slacks = b

The charges for each pair of slacks = $5.49

For each sports coat = c

The charges for each sports coat = $6.99

3 0
3 years ago
Find the values of x and y.
babunello [35]

Answer:

x=21°. :Angles subtended by the same arc

y=42°. :180-(117+21),angles subtended by the same arc

8 0
3 years ago
5. Which of the following statements are always true? (2 points)
gayaneshka [121]

Answer: A & C

Step-by-step explanation: A. Two parallel lines are coplanar.

C. Two planes that do not intersect are parallel.

8 0
3 years ago
Read 2 more answers
Please answer this correctly
ArbitrLikvidat [17]

Answer:

326

Step-by-step explanation:

l x w

7x8

25x6

4x30

326

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I will give u brianliest
Bond [772]

Answer:

1: 3×2

2: y^6

Step-by-step explanation:

1:

Multiply the numbers: y(^3^*^2)

3*2 = 6

Write it without exponents:

y * y * y * y *y *y so 6y.

2:

(y^3)^2

Apply exponent rule : (a^b)^c=a^b^c, assuming a\geq 0

(y^3)^2=y^3^*^2

=y^3^*^2

Multiply the numbers: 3 * 2 = 6

= y^6

Hope I helped! If so, may I get Brainliest and a Thanks?

Thank you, have a good one! =)

6 0
3 years ago
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