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vlabodo [156]
3 years ago
13

What is the slope of the line that passes through the pair of points (-5/3, -1) and (-2, 9/2)?

Mathematics
1 answer:
vovangra [49]3 years ago
7 0
Slope = (9/2 + 1) / (-2 + 5/3)
     
      11/2
= ----------
      -1/3
= 11/2 (-3/1)
= -33/2
or
= -16.5
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Shanti is taking a cube-shaped gift to a friend's birthday party. She wants to wrap it but she doesn't have very much paper, so
Marrrta [24]

Answer:

It will take Shanti 150 square inches of paper to wrap the gifts

Step-by-step explanation:

Shanti wraps the gift she is taking to a friend's birthday party. She doesn't have very much paper, so she does not overlap any of the edges. The side lengths of the cube are all 5in.

How much paper did it take to cover the gift?

Solution

To solve this, you will find the surface area of a cube

Surface area of a cube = 6a^2

Where,

a=side length of the cube

a= 5 in

a^2=a × a

=5 × 5

=25 in^2

a^2=25 in^2

Surface area of a cube = 6a^2

=6 × 25 in^2

=150 in^2

It will take Shanti 150 square inches of paper to wrap the gifts

7 0
3 years ago
Read 2 more answers
14 lessons costs $210. What would 72 lessons cost
Oksi-84 [34.3K]

Answer:

$1,080

Step-by-step explanation:

To solve, we can make a proportion

14 lessons are $210 and 72 lessons are $x

14/210=72/x

Cross multiply

14*x=210*72

14x=15120

To solve for x, we need to get x by itself. Since x is being multiplied by 14, divide both sides by 14.

14x/14=15120/14

x=1080

So, 72 lessons will cost $1,080

4 0
3 years ago
Read 2 more answers
Coal is carried from a mine in West Virginia to a power plant in New York in hopper cars on a long train. The automatic hopper c
svp [43]

Answer:

0.2839 = 28.93%

Step-by-step explanation:

In order to find find the probability that one car chosen at random will have less than 68.5 tons of coal, we have to find z

Le x be tons of coal in a car

Z = (x – mean)/standard deviation

Z = (x – μ)/ σ

P (x<68.5) = P(z < (68.5-69)/0.9)

P (x<68.5) = P(z < -0.5555)

Then we use the z table to find the area under the curve.

P (x<68.5) = 0.2893

5 0
3 years ago
Simplify the expression <br><br> 6(-5n + 7)
Hunter-Best [27]

6(-5n+7)=0


We simplify the equation to the form, which is simple to understand

6(-5n+7)=0


Reorder the terms in parentheses

+(-30n+42)=0


Remove unnecessary parentheses

-30n+42=0


We move all terms containing n to the left and all other terms to the right.

-30n=0-42


We simplify left and right side of the equation.

-30n=-42


We divide both sides of the equation by -30 to get n.

n=1.4

Hope this helps!

7 0
3 years ago
Read 2 more answers
What is an equivalent ratio to 3/5?
Elza [17]

Answer:

6/10

Step-by-step explanation:

multiply 3/5 by any whole number ratio equal to 1 to obtain an equivalent fraction.  

(2/2)*(3/5) = 6/10

or (3/3)*(2/5) = 9/15

etc.

3 0
3 years ago
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