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poizon [28]
3 years ago
15

Susan ate 1 5/6 cups of popcorn on Monday night. She at 2 3/4 of popcorn on Thursday night. How many cups of popcorn did Susan e

at
Mathematics
1 answer:
Shtirlitz [24]3 years ago
5 0

Answer: 4 7/12 cups of popcorn

Step-by-step explanation:

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What is an equation of the line that passes through the point (3,-1) and is perpendicular to the equation y=-3x+2
Alex17521 [72]
If it is perpendicular then the slope of it will be:

-3 \times x = -1\\\\x = \frac{1}{3}

y = 1/3 x + b

-1 = (1/3)(3) + b

-1 = 1 + b

b = -2

The equation is:

y = \frac{1}{3}x - 2
8 0
3 years ago
On January 11, Frank Morgan spent $228 on taxable merchandise at Wesley's Discount Clothing. The combined state and local sales
ryzh [129]

Answer:

Customer must pay a Total Amount of $240.

Step-by-step explanation:

Given:

Amount spent = $228

Sales tax = 5.25%

We need to find the Total Amount which need to be paid.

First we will find the amount paid in tax.

Amount paid in tax is equal to Percentage of sales tax multiplied with Amount spent and then divide by 100.

Framing the equation we get;

Amount paid in tax = \frac{5.25}{100}\times 228= \$11.97

Now Total Amount which need to be paid is equal to sum of Amount spent and Amount paid in tax.

Framing in equation form we get;

Total Amount which need to be paid = \$228 +\$11.97 = \$239.97

Rounding to nearest cent we get;

Total Amount which need to be paid = $240

Hence, Customer must pay a Total Amount of $240.

8 0
3 years ago
A cyclist rode for 3.5 hours and completed a distance of 60.9 miles. If she kept the same average speed for each hour, how far d
SVETLANKA909090 [29]

divide total miles by total time:

60.9 / 3.5 = 17.4 miles per hour

5 0
3 years ago
Read 2 more answers
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
Factor the polynomial by it’s greatest common monomial factor. <br> 12k^3 - 30k^4
madam [21]

Answer:

6k^3(2 - 5k)

Step-by-step explanation:

12k^3 - 30k^4

Factor out 6k^3

6k^3(2 - 5k)

5 0
3 years ago
Read 2 more answers
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