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MatroZZZ [7]
4 years ago
8

Gloria, Tina, and Kelly went to an office supply store. Gloria bought 5 pencils, 7 markers, and 8 erasers. Her total was $19.00.

Tina spent $21.00 buying 7 pencils, 5 markers, and 8 erasers. Kelly bought 4 pencils, 8 markers, and 7 erasers for $17.75. What is the cost of each item?
Mathematics
1 answer:
FromTheMoon [43]4 years ago
7 0

Answer:

Pencils cost $2

Markers cost $1

Erasers cost $0.25

Step-by-step explanation:

Let pencils be denoted by P, markers by M and erasers by E. The following linear system can be modeled from the data provided:

5P+7M+8E = 19\\7P+5M+8E=21\\4P+8M+7E =17.75

Solving the linear system:

2P-2M= 2\\P=1+M\\4+4M+8M+7E =17.75\\\\12M+7E = 13.75\\12M+8E=14\\E=0.25\\M=\frac{14-0.25*8}{12}\\ M=1\\P=1+1=2

Pencils cost $2

Markers cost $1

Erasers cost $0.25

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choli [55]

Answer: Amount of 35% solution required = 100 milliliters

Amount of 87% solution required  = 30 milliliters

Step-by-step explanation:

Given: Total solution required =  130 milliliters

Let x = Amount of 35% solution (in milliliters).

Then, Amount of 87% solution required = 130 - x

As per given,

Concentration = 0.35x +0.87(130-x)=0.47(130)

0.35x +113.1-0.87x=61.1\\\\\Rightarrow\ -0.87x+0.35x=61.1-113.1\\\\\Rightarrow\ -0.52 x= -52\\\\\Rightarrow\ x=\dfrac{52}{0.52}=100

Hence, Amount of 35% solution required = 100 milliliters

Amount of 87% solution required  = 130-100 milliliters =30 milliliters

3 0
3 years ago
What is the value of the expression below?<br><br><br> (3 1/2 - 9 3/4) ÷ (-2.5)
Alexandra [31]

Answer:

2.5

Step-by-step explanation:

3 1/2 - 9 3/4 =

3 2/4 - 9 3/4 = -6 1/4

-6 1/4 = -6.25 ÷ (-2.5) = 2.5

5 0
3 years ago
Help on math please!!!
juin [17]

Table:

y = x²

can also be written as: f(x) = x²

Plug in each x value and calculate the output:

f(-4) = (-4)² = 16

f(-3) = (-3)² = 9

f(-2) = 4

f(-1) = 1

f(-\frac{1}{2}) = \frac{1}{4}

f(0) = 0

f(\frac{1}{2}) = \frac{1}{4}

f(1) = 1

f(2) = 4

f(3) = 9

f(4) = 16

Answers:

a) graph shown in picture

b) vertex is at (0, 0)

5 0
3 years ago
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Leviafan [203]

Answer:

1/6

Step-by-step explanation:

Hillary is making a blanket for her mom.

Let the total blanket = 1

Three-fourths of the blanket is green and the rest is yellow.

The fraction for the rest(yellow portion) = 1 - 3/4

The Lowest Common Denominator is 4

Hence,

4 - 3 /4 = 1/4

Two-thirds of the yellow part has her name on it.

The fraction of the blanket that will have her name on it is calculated as

2/3 of 1 /4

= 2/3 × 1/4

= 1/6

4 0
3 years ago
Find the distance between the two points (-4,6) and (3,-7)
Lesechka [4]

Answer:

( - 4.6) + (3. - 7) = 0.6

8 0
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