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Ray Of Light [21]
3 years ago
12

Dustin bought 9 pencils. Some of the pencils were green and cost $0.90 each. The remainder of the pencils were purple and cost $

0.65 each. If Dustin paid $7.10 for all of the pencils, how many green pencils did he buy?
Mathematics
1 answer:
Talja [164]3 years ago
8 0

Answer: he bought 5 green pencils

Step-by-step explanation:

Let x represent the number of green pencils that Dustin bought.

Dustin bought 9 pencils. The remainder of the pencils were purple. This means that the number of purple pencils that he bought is 9 - x

Some of the pencils were green and cost $0.90 each. The remainder of the pencils were purple and cost $0.65 each. If Dustin paid $7.10 for all of the pencils, it means that

0.9x + 0.65(9 - x) = 7.1

0.9x + 5.85 - 0.65x = 7.1

0.9x - 0.65x = 7.1 - 5.85

0.25x = 1.25

x = 1.25/0.25

x = 5

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What is an equation of the line that passes through the points (0, -4) and (-4, 6)?
olganol [36]

Answer:

The equation of the line is.

y=-\frac{5}{2}x-4

Step-by-step explanation:

Given:

The given points are (0, -4) and (-4, 6)

The equation of the line passing through the points (x_{1},y_{1}) and (x_{2},y_{2}) is.

\frac{x-x_{1}}{x_{2}-x_{1}}=\frac{y-y_{1}}{y_{2}-y_{1}}

Thus, the equation of the line that passes through the points (0, -4) and (-4, 6) is

\frac{x-0}{(-4)-0}=\frac{y-(-4)}{6-(-4)}

\frac{x}{-4}=\frac{y+4}{6+4}

-\frac{x}{4}=\frac{y+4}{10}

-\frac{10x}{4}=y+4

-10x=4(y+4)

-10x=4y+16

4y=-10x-16

The above equation is divided by 2 both sides.

2y=-5x-8

y=-\frac{5}{2}x-4

Therefore, the equation of the line that passes through the points (0, -4) and (-4, 6) is y=-\frac{5}{2}x-4

8 0
3 years ago
The sum of liz's and melinda's ages is 28. if liz was 1/3 melinda's age 6 years ago, how old will liz be next year?
Mrrafil [7]
The first thing we must do for this case is to define variables:
 We have then:
 x: liz's age
 y: melinda's age
 We now write the system of equations:
 x + y = 28

x-6 = (1/3) (y-6)
 By solving the system graphically we have that the age of each one is currently:
 x = 10

 y = 18
 Next year, the age of liz is:
 x + 1 = 10 + 1 = 11

 Answer:
 
Next year, Liz's age is 11 years.
 
Note: see attached image for the graphic solution.

3 0
3 years ago
Put them in order from least to greatest:<br> 6.539 6.56 6.4 6.45 6.557 6.481
allsm [11]

6.557,6.539,6.481,6.56,6.45,6.4

7 0
2 years ago
Read 2 more answers
PLEASE HELP WITH MATH!!!
Ber [7]

Answer:

75

Step-by-step explanation:

Buddy and Ken can do work 2/3 times faster than Tom and Ron. The LCM (10, 15) is 30. In thirty minutes Buddy and Ken will have installed 3 panels, while Tom and ron will have installed 2 panels. In thirty minutes 5 panels will have been placed. There are 12 panels that need to be placed so we know it will take another thirty minutes to place 5 more panels. After an hour only 10 panels will have been placed. So we need to add more time. There are only two panels that will need to be placed after an hour, so each group can place a panel. Tom and Ron will need 15 minutes so the answer is 60+15=75.

8 0
2 years ago
What is -3 1/3 = -1/2g
Firdavs [7]

Answer:

g = 62/3 or

g  = 20 \frac{2}{3}

Step-by-step explanation:

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8 0
3 years ago
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