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3 years ago

5 1/3-3 2/4 find the difference

Mathematics

1 answer:

Vinil7 [7]3 years ago

8 0

Answer:

1 10/12

Step-by-step explanation:

Take the fractions and get them to the same bottom number, 12. So it would be 5 4/12 - 3 6/12.

Take 1 away from 5 to get 4 and the one you pulled would be 12/12(also equal to 1). 4 16/12 - 3 6/12 would be 1 10/12

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Nate rented a power washer and a generator. On his first job, he used each piece of equipment for 6 hours which cost $90. On his

Ne4ueva [31]

Answer: the hourly cost of renting a power washer is $5

the hourly cost of renting a generator is $10

Step-by-step explanation:

Let x represent the hourly cost of renting a power washer.

Let y represent the hourly cost of renting a generator.

On his first job, he used each piece of equipment for 6 hours which cost $90. This means that

6x + 6y = 90 - - - - - - - - 1

On his second job, he used the power washer for 4 hours and the generator for 8 which cost $100. This means that

4x + 8y = 100 - - - - - - - - - - 2

Multiplying equation 1 by 4 and equation 2 by 6, it becomes

24x + 24y = 360

24x + 48y = 600

Subtracting, it becomes

- 24y = - 240

y = - 240/-24 = 10

Substituting y = 10 into equation 1, it becomes

6x + 6 × 10 = 90

6x + 60 = 90

6x = 90 - 60 = 30

x = 30/6 = 5

4 0

4 years ago

. What is the solution of the system of equations 3x + 2y = 4 and -2x + 2y = 24? *

Natalija [7]

Answer:

x= -4

y= -8

This will be the solution

3 0

3 years ago

Write the function ????(x) = −2x^2 − 20x − 53 in completed-square form. Describe the transformations of the graph

siniylev [52]

Answer:

The graph of parent function reflected across x-axis, vertically stretched by factor 2 and shift 5 units left 3 units down.

Step-by-step explanation:

The parent function is

$f(x)=x^2$

The given function is

$g(x)=-2x^2-20x-53$

$g(x)=-2(x^2+10x)-53$

If an expression is $x^2+bx$ , then we have to add $(\frac{b}{2})^2$ in it to make it perfect square.

In the parenthesis the value of b is 10.

$(\frac{10}{2})^2=5^2=25$

Add and subtract 25 in the parenthesis.

$g(x)=-2(x^2+10x+25-25)-53$

$g(x)=-2(x^2+10x+25)-2(-25)-53$

$g(x)=-2(x+5)^2+50-53$

$g(x)=-2(x+5)^2-3$

$g(x)=-2f(x+5)-3$ .... (1)

The translation is defined as

$g(x)=kf(x+a)+b$ .... (2)

Where, k is stretch factor, a is horizontal shift and b is vertical shift.

If 0<|k|<1, then the graph compressed vertically by factor k and if |k|>1, then the graph stretch vertically by factor k.

Negative k represents the reflection across x-axis.

If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.

If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.

From (1) and (2) it is clear that k=-2, a=5 and b=-3.

It means graph of parent function reflected across x-axis, vertically stretched by factor 2 and shift 5 units left, 3 units down.

3 0

4 years ago

Simplify. 4 × (8 + 5) + 9 45 46 61 62

Darya [45]

Answer:

Step-by-step explanation:

4 × (8 + 5) + 9

Parentheses first

4 × (13) + 9

Then multiply

52 +9

Then add

7 0

3 years ago

What is the area of a circle with a diameter of 12? A. 12 B.6 C. 36 D. 24

Airida [17]

Answer:

B.6

Step-by-step explanation:

d=12 m

r=12(12m)=6 m

A=π(6m)^2

A=113.10 m^2

6 0

3 years ago

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