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2 years ago

A given line has the equation 10x + 2y = −2.

1 answer:

3 0

10x + 2y = -2

2y = -10x -2

y = -5x - 1 (slope is -5 and a parallel line will have the same slope)

y = mx + b

slope(m) = -5

12 = -5(0) + b

12 = 0 + b

12 = b

so the parallel line is y = -5x + 12

hope this helps, God bless!

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Write and solve a proportion to answer the question. 3/4 is 60% of what number?

Ganezh [65]

3/4 equals .75, and 60% equals .60. Therefore, we can set up an equation. .75=.60x, where x is the number we are looking for.

Divide each side by .60 to get the variable by itself. .75/.60= 1.25.

Hope this helped!!! :)

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2 years ago

A juggler tosses a bowling pin in the air with an initial velocity of 18 ft per second. It leaves his hand when it is five feet

Natali5045456 [20]

Complete Question

A juggler tosses a bowling pin in the air with an initial velocity of 18 ft per second. It leaves his hand when it is five feet from the ground and he catches it when it is four feet from the ground,How long is the ball in the air?

Answer:

$t\approx 0.1s$

Step-by-step explanation:

From the question we are told that

Initial velocity $V_0= 18 ft/s$

Initial Height $h_1=5feet$

Final Height $h_2=4feet$

Generally the Newtons equation for motion is mathematically given by

$V^2 = U^2 + 2as$

Where

$s=h_2-h_1\\s=4-5\\s=-1ft$

And

$a=g=>9.81\\a=32.2ft/s^2$

Therefore

$V^2 = (18)^2 + 2(-32.2)(-1)$

$V^2 = 388.4$

$V =19.70786645\\V=19.71ft/s$

Generally the equation for Time is mathematically Given as

$t=\frac{V-U}{a}$

$t=\frac{19.71-18}{32.2}$

$t=0.05310559006$

$t\approx 0.1s$

Therefore the time spent on air by the ball is

$t=0.05310559006s$

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2 years ago

The gas tank on a car holds 15.5 gallons. If the car goes 387.5 miles on a single tank, how many miles per gallon does the car g

Ostrovityanka [42]

Answer:

25 miles per gallon

Step-by-step explanation:

if you divide the number of miles(387.5) by the number of gallons (15.5) you should get 25miles per gallon

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2 years ago

A, B and C lie on a straight line.

horsena [70]

Here you go, i added a bit of explanation as to why i used the numbers to help you understand the method :)

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2 years ago

Mr. McDonald gave his math class the following problem. 18 pizzas need to be split among 12 families. How any pizzas does each f

RUDIKE [14]

None of those choices is correct, because a bare naked fraction without units is not a satisfactory answer. Keeping the units makes this question easy to answer, and the answer needs units.

The question is asking for a unit rate. That always means DIVIDE.

(18 pizzas) / (12 families)

= ( 18/12 ) (pizza/family) = 1.5 pizza/family .

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2 years ago

Read 2 more answers