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icang [17]
3 years ago
12

The amount a spring stretches varies directly as the weight of the object attracted to it. If an 8 ounce weight stretches a spri

ng 10 centimeters, how much weight will stretch it 15 centimeters
Mathematics
1 answer:
Rom4ik [11]3 years ago
3 0

Answer:

Weight of <u>12 ounces</u> will stretch spring of 15 centimeters.

Step-by-step explanation:

Given:

The amount a spring stretches varies directly as the weight of the object attracted to it.

An 8 ounce weight stretches a spring 10 centimeters.

Now, to get how much weight will stretch it is 15 centimeters.

According to question:

<em>A spring of 10 centimeters stretches a weight of 8 ounce.</em>

<em>Then a spring of 1 centimeter stretches a weight of = \frac{8}{10}=0.8\ ounce.</em>

<em>So, a spring of 15 centimetres stretches a weight of = 0.8\times 15=12\ ounces.</em>

Therefore, weight of 12 ounces will stretch spring of 15 centimeters.

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Tasya [4]

Answer:

y=4x+20

Step-by-step explanation:

To write an equation, use the slope-intercept equation:

y=mx+b

M is the slope and b is the y-intercept.

First, find the slope by using the slope formula for when you have two points:

\frac{y(2)-y(1)}{x(2)-x(1)}=\frac{rise}{run}

Rise over run is the change in the y-axis over the change in the x-axis. Substitute values:

(-5,0)(-4,4)\\(-5(x1),0(y1))\\(-4(x2),4(y2))\\\\\frac{4-0}{-4-(-5)}

Simplify parentheses (two negatives make a positive) and simplify:

\frac{4-0}{-4+5}\\\\\frac{4}{1}=4

The slope, m, is 4. Insert this information into the equation:

y=4x+b

Now, take one of the points and insert into the slope-intercept formula:

(-5,0)\\(-5(x),0(y))\\\\0=4(-5)+b

Solve for b, the y-intercept. Simplify multiplication:

0=-20+b

Add 20 to both sides and simplify:

0+20=-20+20+b\\20=b\\b=20

The y-intercept, b, is 20. Insert this value into the equation:

y=4x+20

Done.

7 0
3 years ago
Evaluate 19-11+(-17)+(-19)+11
Nataliya [291]
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An amusement park is open for 15 hours a day, 7 days a week
sertanlavr [38]

Answer:

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7 < x ≤ 15 for f(x) = 30

Step-by-step explanation:

The duration the amusement park is opened, t = 15 hours

The number of days the amusement is opened = 7 days a week

The prices for the admission are;

x < 3 hours = $15

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x > 7 hours = $30

The functions are;

f(x) = 15 when x < 3; The domain = 0 < x < 3

f(x) = 22 when 3 ≤ x ≤ 7; The domain = 3 ≤ x ≤ 7

f(x) = 30 when x > 7; The domain = 7 < x ≤ 15.

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Answer:

3/2x

Step-by-step explanation:

the answer is 3/2x

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