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arlik [135]
3 years ago
13

A bag contains white marbles and green marbles, 52 in total. The number of white marbles is 3 less than 4 times the number of gr

een marbles. How many white marbles are there?
Mathematics
2 answers:
valentina_108 [34]3 years ago
8 0

Answer:

Step-by-step explanation:

w + g = 52

w = 4g - 3

(4g - 3) + g = 52

5g - 3 = 52

5g = 52 + 3

5g = 55

g = 55/5

g = 11....there are 11 green marbles

w + g = 52

w + 11 = 52

w = 52 - 11

w = 41 <=== there are 41 white marbles

timurjin [86]3 years ago
8 0

Answer:

white marbles = 41

Step-by-step explanation:

Set up the equation

52 = (4g-3) +g

g = green marbles

white marbles are represented by 4g-3

these are added together to equal 52

solve for g, combine like terms

52 = 5g -3

g = 11

4g -3 = white marbles

(4x11) - 3 = white marbles = 41

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2.3 or 2

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Gabi wants to drive to and from the airport. She finds two companies near her that offer short-term car rental service at differ
lilavasa [31]

Answer:

The difference in per-mile costs for the two companies is $0.12

Step-by-step explanation:

Gabi sets up the equation 0.22m+7.20=0.1m+8.40 to find out after how many miles, m, the companies will charge the same amount.

The first company charges c_1=0.22m+7.20 for m miles driven.

The second company charges c_2=0.1m+8.40 for m miles driven.

In both these functions, numbers 7.20 and 8,40 represent the initial fee the companies charge.

Numbers 0.22 and 0.1 represent per-mile costs.

Thus, the difference in per-mile costs is 0.22-0.1=0.12

Another way to solve this problem is to find the cost per mile driven for each company:

1. Cost per-mile 1st company

c_1(0)=0.22\cdot 0+7.20=7.20\\ \\c_1(1)=0.22\cdot 1+7.20=7.42\\ \\c_1(1)-c_1(0)-7.42-7.20=0.22

2. Cost per-mile 2nd company

c_2(0)=0.1\cdot 0+8.40=8.40\\ \\c_2(1)=0.1\cdot 1+8.40=8.50\\ \\c_2(1)-c_2(0)=8.50-8.40=0.1

3. Difference:

0.22-0.1=0.12

6 0
3 years ago
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