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kirill [66]
3 years ago
9

A store sells small notebooks for ​$8 and large notebooks for ​$16 . If a student buys 6 notebooks and spends ​$72 ​, how many o

f each size did he​ buy?
Mathematics
2 answers:
navik [9.2K]3 years ago
8 0
Small notebooks is the correct awnser
Anon25 [30]3 years ago
7 0
8x+16y=72
x+y=6

x=6-y
8*(6-y)+16y=72
8y+48=72
8y=24
y=3
x=6-3=3
Answer: 3 of each size
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Using long division to find the quotient, what changes do you first
lora16 [44]

Answer:

\frac{125x^3 - 8}{5x - 2} = 25x^2 + 10x +4

Step-by-step explanation:

Given

Dividend = 125x^3 - 8

Divisor = 5x - 2

Required

Determine the quotient

See attachment for complete process.

First, divide 125x^3 by 5x

\frac{125x^3}{5x} =25x^2

Write 25x^2 at the top

Multiply 5x - 2 by 25x^2

= 125x^3 - 50x^2

Subtract from 125x^3 - 8

i.e.

125x^3 - 8 - (125x^3 - 50x^2) = 50x^2 - 8

Step 2:

Divide 50x^2 by 5x

\frac{50x^2}{5x} = 10x

Write 10x at the top

Multiply 5x - 2 by 10x

= 50x^2 - 20x

Subtract from 50x^2 - 8

i.e.

50x^2 - 8 - (50x^2 - 20x) = 20x - 8

Step 3:

Divide 20x by 5x

\frac{20x}{5x} = 4

Write 4 at the top

Multiply 5x - 2 by 4

= 20x - 8

Subtract from 20x - 8

i.e.

20x - 8 - (20x - 8) = 0

Hence:

\frac{125x^3 - 8}{5x - 2} = 25x^2 + 10x +4

8 0
3 years ago
Given the piece wise function show below, select all that are true​
NeTakaya

Answer:

Option (C) and (D)

Step-by-step explanation:

Given piecewise function is,

f(x) = 2x, x < 1

        5, x = 1

        x^{2}, x > 1

Option (A),

x = 5 means x > 1

So the function will be,

f(x) = x^{2}

f(5) = (5)²

     = 25

Therefore, f(5) = 1 is not correct.

Option (B),

x = -2 means x < 1

f(x) = 2x will be applicable.

f(-2) = 2(-2) = -4

Therefore, f(-2) = 4 is not correct.

Option (C)

For x = 1,

f(1) = 5

Therefore, f(1) = 5 is the correct option.

Option (D)

x = 2 means x > 1 and the function defined will be,

f(x) = x²

f(2) = 2²

     = 4

Therefore, f(2) = 4 will be the correct option.

Options (C) and (D) will be the answer.

7 0
3 years ago
Can someone tell me the area of this please
Andru [333]

Answer: just multiply all sides with a calculator, that easy

Step-by-step explanation: or do you need help with solving it?

5 0
3 years ago
Read 2 more answers
5X 250 and 16 to25<br> A. 32 <br> B. 34<br> C.41
Dmitriy789 [7]
The answer is 41
C is correct
7 0
3 years ago
Rohann recently finished some renovations to his house. 20 square meters of carpeting cost $875 while 17 square meters of hardwo
lara [203]

Answer: Hardwood flooring

Step-by-step explanation:

Given

Rohann renovation of Carpentering cost $875 for 20\ m^2

For hardwood flooring 17\ m^2 cost $750

So, cost per square meter for different floors are

\Rightarrow \text{Carpentering}=\dfrac{875}{20}\\\\\Rightarrow \text{Carpentering}=\$43.75/m^2

\Rightarrow \text{Hardwood}=\dfrac{750}{17}\\\\\Rightarrow \text{Hardwood}=\$44.11/m^2

Thus, the cost of the Hardwood flooring is more expensive.

6 0
3 years ago
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