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geniusboy [140]

3 years ago

10

A cable is 84 meters long, it is cut into two pieces so that one piece is 18 meters longer than the other. Find the length of ea

ch piece of cable.

1 answer:

weeeeeb [17]3 years ago

5 0

Long Piece: x + 18

Short Piece: x

(x) + (x + 18) = 84

2x + 18 = 84

2x = 66

x = 33

Long Piece: x + 18 = (33) + 18 = 51

Answer: 33 meters and 51 meters

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Solve -9g+11<-15g-6+7g.

MArishka [77]

Answer: $g>17$

Step-by-step explanation:

$-9g+11$

Move the g-terms to the left side. and the independent terms to the right side. Remember to change the sign if you move from one side to another.

$-9g+15g-7g$

$-16g+15g$

$-g$

Divide by -1 on both sides to make g positive. When it comes to dividing by negatives in inequalities, the inequality sign changes direction.

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3 years ago

If the probability of surviving a head on car accident at 55 mph is 0.097, then what is the probability of not surviving

BabaBlast [244]

The probability of not surviving a head-on car accident is: 0.903

Step-by-step explanation:

The probabilities of occurrence and non-occurrence of an event add up to one.

If p is the probability that an even will happen and q is the probability that it will not happen

Then

$p+q=1$

Here,

Probability of surviving = p = 0.097

Probability of not surviving = q = ?

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The probability of not surviving a head-on car accident is: 0.903

Keywords: Probability, Inverse

Learn more about probability at:

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3 years ago

How do you know if AB and CD are congruent?

Mariana [72]

If the length of two segments is equal then the two segments are congruent.

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Two line segments to be congruent if and only if they have the same length.

Two shapes are congruent if they are exactly the same shape and exactly the same size. In congruent shapes, all corresponding sides will be the same length and all corresponding angle will be the same measure.

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3 years ago

Alexa worked 30 hours last week and earned $450. Her pay has now been increased by 20%. Which equation describes her new rate of

vesna_86 [32]

Answer:

$p=18h$

or

$p=\dfrac{450}{30}\cdot 1.2\cdot h$

Step-by-step explanation:

If Alexa worked 30 hours last week and earned $450, then her hourly payment is

$\dfrac{\$450}{30}=\$15.$

Her payment has now been increased by 20%, so her hourly payment becomes

$\$15\cdot 1.2=\$18.$

If she worked h hours, then she earned $\$18h.$ If her new payment is p, then

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or

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3 years ago