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kiruha [24]
3 years ago
8

A box of colored pencils cost $4.50 if there are 40 pencils how much would 60 pencils cost

Mathematics
1 answer:
OLga [1]3 years ago
7 0

Answer:

6.75

Step-by-step explanation:

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Explain why the two figures below are similar. Use complete sentences and provide evidence to support your explanation. (10 poin
alekssr [168]

Answer:

<em>The two figures are similar as  the ratio of corresponding distances and slope of corresponding lines are EQUAL.</em>

Step-by-step explanation:

Noting the coordinates of points,

C(-1,6), D(3,4) , E(2,3) , F(3,0), G(1,-2) , A(0,1) , B(-2,2)

J(4.5,3.5), K(6.5,2.5), L(6,2), M(6.5,0.5) , N(5.5,-0.5) , H(5,1) , I(4,1.5)

using the distance formula = \sqrt{(x-x1)^{2} + (y-y1)^{2} }

we find that,

CD=\sqrt{20} and JK=\sqrt{5}

thus, ratio of CD to JK is 2.

Similarly find ratio of DE to KL and so on, the ratio remains same.

Further one can even comment on the slopes of corresponding lines been equal.

Thus the figures turn out to be similiar to each other

7 0
3 years ago
Please help solve the inequality.
gulaghasi [49]

Answer:

Are there two you're asking for?

#2: x ≥ 9

#3: x > -2

Step-by-step explanation:

#2 Work:

x - 13 ≥ -4

Step 1: Add 13 to both sides

x - 13 + 13 ≥ -4 + 13

Add -4 and 13 to get 9.

x ≥ 9

#3 Work:

x/2 > -1

Multiply both sides by 2. Since 2 is positive, the inequality direction remains the same

x/2 * 2 > -1 * 2

x > -2

5 0
2 years ago
Maritzas car has 16 gallons of gas in the tank.She uses 3/4 of the gas.How many agllons of gas does Maritza use?
oksano4ka [1.4K]

Answer:

If Maritzas used 3/4 of here gas then she used 12 gallons of gas


6 0
3 years ago
Read 2 more answers
How is rate of change of a linear function related to the slope of its graph
Neporo4naja [7]
The vertical change between two points is called the rise, and the horizontal change is called the run. The slope equals the rise divided by the run: . ... If coordinates of any two points of a line are given, then the rate of change is the ratio of the change in the y-coordinates to the change in the x-coordinates.Apr 15, 2018
7 0
3 years ago
If f(x) = 5x, what is f–1(x)?
ch4aika [34]

For this case we have the following function:

f (x) = 5x

We want to find the inverse of the function.

The first thing we should do is rewrite the function:

y = 5x

From here, we clear the value of x.

We have then:

x =\frac{y}{5}

Then, returning the variable changes, we have that the inverse function is:

f ^ {-1} (x) =\frac{x}{5}

Answer:

The inverse function of f (x) is:

f ^ {-1} (x) =\frac{x}{5}

8 0
3 years ago
Read 2 more answers
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