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boyakko [2]
3 years ago
14

21) What is the slope of the perpendicular lines? y = 5x

Mathematics
1 answer:
Pachacha [2.7K]3 years ago
8 0
The slope of the perpendicular line of y=5x would be -1/5, since slopes are always opposite reciprocals when they are perpendicular to each other.
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10
sveta [45]

This question was not written properly

Complete Question

Steve has 54 stamps in his collection of 13 cent, 29 cent, and 45 cent stamps, totaling a value of $15.98. If the number of 13 cent stamps is doubled, the new total value of his stamp collection would be $17.80. Find the number of each type of stamp in his collection.

Answer:

a) The number of 13 cent = 14

b) The number of 29 cent = 24

c) The number of 45 cent = 16

Step-by-step explanation:

We are told he has 54 stamps in total.

These stamps are;13 cent, 29 cent, and 45 cent stamps.

Let's

Number of 13 cent = a

Number of 29 cent = b

Number of 45 cent = c

Hence,

a + b + c = 54........... Equation 1

The total value of the 3 stamps are $15.98.

1 cent = $0.01

We have

0.13a + 0.29b + 0.45c= $15.98 ......... Equation 2

We know from the question that:

13 cent stamps is doubled, the new total value of his stamp collection would be $17.80.

Therefore

2(0.13a) + 0.29b + 0.45c = 17.8

0.26a + 0.29b + 0.45c = 17.8 ......... Equation 3

Combining Equation 2 and 3 together

0.13a + 0.29b + 0.45c= 15.98 ......... Equation 2

0.26a + 0.29b + 0.45c = 17.8 ......... Equation 3

We eliminate b and c by Subtracting Equation 3 from 3

0.13a = 1.82

a = 1.82/0.13

a = 14

a + b + c = 54........... Equation 1

Since a = 14

14 + b + c = 54

b + c = 54 - 14

b + c = 40

c = 40 - b

Substitute 40 - b for c and 14 for a is Equation 2

0.13a + 0.29b + 0.45c= 15.98 ......... Equation 2

0.13(14 ) + 0.29b + 0.45(40 - b) = 15.98

= 1.82 + 0.29b + 18 - 0.45b = 15.98

Collect like terms

1.82 + 18 - 15.98 = 0.45b - 0.29b

3.84 = 0.16b

b = 3.84/0.16

b = 24

Hence: Solving for c

a + b + c = 54........... Equation 1

14 + 24 + c = 54

38 + c = 54

c = 54 - 38

c = 16

Therefore,

The number of 13 cent = 14

The number of 29 cent = 24

The number of 45 cent = 16

8 0
3 years ago
Please help it OVER DUE
kotykmax [81]

You know the total amount, 32.00, and the cost of each gallon, 1.60, so you can make an equation using x as the amount of gallons bought.

1.60x = 32.00

Now just divide 32.00 by 1.60

x= 32.00/1.60

x= 20

5 0
3 years ago
Is 92 1/2 pounds equivalent to 1,480 ounces
kow [346]
Hi there!

Since

16 ounces = 1 pound,

We should divide 1480 by 16 and see if it equals 92.5.

1480 ÷ 16 = 92.5
92.5 = 92.5

Answer:
Yes.

Hope this helps!
8 0
3 years ago
Read 2 more answers
Y = 10x + 2<br> how many solutions? <br> a. no solutions. b. on solution c. infinite solutions
dusya [7]

Answer:

c. infinite solutions

Step-by-step explanation:

y = 10x + 2

This is a line.  A line has infinite points

Therefore this has infinite solutions

4 0
3 years ago
Read 2 more answers
Find the greatest common factor of these three expressions.<br> 18u^3 , 45u^2 , and 27u
stiv31 [10]

Answer:

9u

Step-by-step explanation:

18u³ / 9u = 2u²

45u²/9u = 5u

27u / 9u = 3

4 0
3 years ago
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