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4 years ago

3 folders cost $2.91. How much do 2 folders cost? Provide explanation.

Mathematics

1 answer:

Ainat [17]4 years ago

7 0

2 folders would cost $0.97

Explanation:
2.91÷3=0.97
0.97•2=1.94

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Graph the line with slope -3 passing through the point (1,3)

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A slope of -3 can be written as a fraction of -3 over 1.
In terms of rise over run, that means when we subtract 3 from y we add 1 to x.

So plot (1, 3), then go down 3 and over 1 and plot that point.
Make a line between them and you're done.

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(7^2*5^6)^4 equivalent expression

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3 years ago

Given the calculations shown, find the dimensions of the prism.

ra1l [238]

The dimensions of the prism has height of 7 units, width of 10 units and length of 10 units.

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An equation is an expression that shows the relationship between two or more variables and numbers.

From the prism:

Perimeter P = 2(w + l)

40 = 2(w + l)

w + l = 20 (1)

Also:

Base area (B) = wl

100 = wl (2)

from equation 1 and 2:

w = 10, l = 10

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3 years ago

Solve the equation. –x + 8 + 3x = x – 6 x = –18 x = –14 x = 2 x = 4

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$- x + 8 + 3x = x - 6 \\ - x + 3x - x = - 6 - 8 \\ 2x - x = - 6 - 8 \\ x = - 14$

✏ The value of x = - 14 (option 2)

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3 years ago

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In his last game of bowling, Roberto earned a score of 241, and his average score increased from 205 to 209. What score would he

FrozenT [24]

Answer:

Robert would have needed 259 point to increase his average to 211.

Step-by-step explanation:

Averages are described by the following equations:

Initial average:

$\frac{x}{n} = 205$

$x = 205\cdot n$

Real average:

$\frac{x+241}{n+1} = 209$

$x + 241 = 209\cdot n + 209$

$x = 209\cdot n - 32$

$205\cdot n = 209\cdot n - 32$

$4\cdot n = 32$

$n = 8$

$x = 205\cdot (8)$

$x = 1640$

Expected average:

$\frac{x+y}{n+1} = 211$

$x + y = 211\cdot n+211$

$y = 211\cdot n + 211 - x$

$y = 211\cdot (8) + 211 - 1640$

$y = 259$

Robert would have needed 259 point to increase his average to 211.

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4 years ago