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katrin2010 [14]
3 years ago
9

Expand the following:3/4(-24x-16)​

Mathematics
1 answer:
Illusion [34]3 years ago
4 0

Answer:

-18x-12

Step-by-step explanation:

3/4(-24x-16)=-18x-12

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A point is chosen at random on a line segment of length L. Interpret this statement, and find the probability that the ratio of
Flauer [41]

Answer:

Probability=2/5

Step-by-step explanation:

Let the line segment be AB of uniform length and x is distance

so

P(\frac{min(x,L-x)}{max(x,L-x)} )

Case 1 min(x,L-x) then

=\frac{x}{L-x}\leq  1/4\\x

Case 2 min(x,L-x)=L-x then

=\frac{L-x}{x}\frac{4L}{5}\\

So Probability

P=\int\limits^{L/5}_0 {f(x)} \, dx+\int\limits^{L}_{4L/5} {f(x)} \, dx\\  P=\int\limits^{L/5}_0 {\frac{1}{L} } \, dx+\int\limits^L_{4L/5} {\frac{1}{L} } \, dx\\  P=\frac{1}{L}(\frac{L}{5} -0+L-\frac{4L}{5} )\\ P=\frac{1}{L} (2L/5)\\P=\frac{2}{5}

6 0
3 years ago
The diameter d in inches of a rope required to lift a weight of w tons is given by the function d = 10w/ π . How much weight can
Ilia_Sergeevich [38]

Answer:

Option D) 1.26 tons

Step-by-step explanation:

we have

d=\frac{10w}{\pi}

where

d is the diameter of a rope in inches

w is the weight in tons

we have

d=2(2)=4\ in ----> the diameter is two times the radius

substitute the value of d and solve for w

4=\frac{10w}{\pi}

w=\frac{4\pi}{10}=0.4\pi\ tons

assume

\pi =3.14

0.4(3.14)=1.26\ tons

7 0
3 years ago
Read 2 more answers
40% of what number is 68?
MakcuM [25]
0.4 * x = 68
x = 68/0.4
x = 170

check:

0.4 * 170 = 68
6 0
3 years ago
Read 2 more answers
5) Derek was surfing through the internet for a good deal on t-shirts. Help Derek find the
AlladinOne [14]

Answer:

The first one

Step-by-step explanation:

To figure out which one is the best deal, for each one how much <em>one</em> t-shirt costs.

<u>First deal:</u>

3 t-shirts for $28.95

To figure out how much money one t-shirt would cost, you divide $28.95 by 3.

1 t-shirt = 28.95/3 = $9.65.

<u>Second deal:</u>

4 t-shirts for $39

Same thing as the last one, except since there are 4 t-shirts you divide $39 by 4.

1 t-shirt = 39/4 = $9.75

<u>Third deal:</u>

5 t-shirts for $49.95

This time you will divide 49.95 by 5.

1 t-shirt = 49.95/5 = $9.99

The last step is to compare the three deals, and since you are trying to find the one that costs the <em>least</em> you can see that the first deal is the best one, because $9.65 per shirt is cheaper than $9.75 and $9.99

5 0
3 years ago
Solve the simultaneous equations 8 x + 5 y = 28 4 x + 5 y = 16
Nostrana [21]

Answer:

x=3, y=0.8

Step-by-step explanation:

8x+5y=28

4x+5y=16

Subtract the second simultaneous equation from the first.

You are left with: 4x=12

12/4=3

x=3

Substitute this back into one of the equations.

8(3)+5y=28

8*3=24

28-24=4

4=5y

4/5=0.8

y=0.8

5 0
3 years ago
Read 2 more answers
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