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Ludmilka [50]
3 years ago
13

Which equation best models the fine schedule for overdue books? , where x is the cost in cents for a book that is y days overdue

, where y is the cost in cents for a book that is x days overdue , where x is the cost in cents for a book that is y days overdue , where y is the cost in cents for a book that is x days overdue Mark this and return
Mathematics
1 answer:
earnstyle [38]3 years ago
4 0

x is the independent variable, and in this scenario, the independent variable is the number of days overdue. So the best equation would be where x is the number of days overdue, and y is the cost in cents.


Example equation:



x = number of days overdue

y = cost in cents

z = total price

z = yx

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Which of the following measurements are less than5 feet?
Natasha_Volkova [10]

Answer:

B

Step-by-step explanation:

1 yard is 3 feet.

The other ones give you 5 or more feet.

4 0
3 years ago
Read 2 more answers
please someone help I know the answer but I don't know how to place it on the scales below. (15 Points)
guapka [62]

Given:

a. 35% of 150 g

b. 113% of $55

To find:

The correct values for the given blanks.

Solution:

a. 35% of 150 g

Here, the percent part is 35% and percent whole is 100%.

35% of 150 g is:

\dfrac{35}{100}\times 150=52.5

So, the number part is 52.5 g and the whole number is 150 g.

Therefore, the percent part is 35%, number part is 52.5 g and the whole number is 150 g.

b. 113% of $55 g

Here, the percent part is 113% and percent whole is 100%.

113% of $55 is:

\dfrac{113}{100}\times 55=62.15

So, the number part is $62.15 and the whole number is $55.

Therefore, the percent part is 113%, number part is $62.15 and the whole number is $55.

6 0
3 years ago
Write and simplify an expression for the perimeter of each figure​
kolbaska11 [484]

The picture is a bit blurry but the perimeter of a shape is the lengths added.

(4a - 2b) + (7a + 3) + (9a - 4) = perimeter, I added the sides together

Combine like terms to get:

4a + 7a + 9a = 20a

-2b is left along becuase there are no other like terms

3 - 4 = -1

The perimeter is 20a - 2b - 1

3 0
3 years ago
Read 2 more answers
The velocity of an automobile starting from rest is given by the equation below, where v is measured in feet per second and t is
maria [59]

Answer:

a. At t = 5 s

a(5)=\frac{1785}{\left(6(5)+17\right)^2}=\frac{1785}{2209}\approx0.808 \frac{ft}{s^2}

b. At t = 10 s

a(10)=\frac{1785}{\left(6(10)+17\right)^2}=\frac{255}{847}\approx0.301 \frac{ft}{s^2}

c. At t = 20 s

a(20)=\frac{1785}{\left(6(20)+17\right)^2}=\frac{1785}{18769}\approx0.095 \frac{ft}{s^2}

Step-by-step explanation:

We know that the velocity function is given by

                                                   v(t)=\frac{105t}{6t+17}

Acceleration is the rate of change of velocity so we take the derivative of the velocity function with respect to time.

a(t)=\frac{dv}{dt}=\frac{d}{dt} (\frac{105t}{6t+17})

\mathrm{Take\:the\:constant\:out}:\quad \left(a\cdot f\right)'=a\cdot f\:'\\\\105\frac{d}{dt}\left(\frac{t}{6t+17}\right)\\\\\mathrm{Apply\:the\:Quotient\:Rule}:\quad \frac{d}{{dx}}\left( {\frac{{f\left( x \right)}}{{g\left( x \right)}}} \right) = \frac{{\frac{d}{{dx}}f\left( x \right)g\left( x \right) - f\left( x \right)\frac{d}{{dx}}g\left( x \right)}}{{g^2 \left( x \right)}}

105\cdot \frac{\frac{d}{dt}\left(t\right)\left(6t+17\right)-\frac{d}{dt}\left(6t+17\right)t}{\left(6t+17\right)^2}\\\\105\cdot \frac{1\cdot \left(6t+17\right)-6t}{\left(6t+17\right)^2}\\\\a(t)=\frac{1785}{\left(6t+17\right)^2}

a. At t = 5 s

a(5)=\frac{1785}{\left(6(5)+17\right)^2}=\frac{1785}{2209}\approx0.808 \frac{ft}{s^2}

b. At t = 10 s

a(10)=\frac{1785}{\left(6(10)+17\right)^2}=\frac{255}{847}\approx0.301 \frac{ft}{s^2}

c. At t = 20 s

a(20)=\frac{1785}{\left(6(20)+17\right)^2}=\frac{1785}{18769}\approx0.095 \frac{ft}{s^2}

3 0
3 years ago
Kalon and his friend Marna own a chimney sweep service company. Working together, they can clean a chimney in 1 5/7 hours. If it
frez [133]
In 1 hour Kalon by himself can clean 1/4 of a chimney.
In one hour Kalon and Marna together can clean
\frac{1}{\frac{12}{7}}=\frac{7}{12}\ of\ a\ chimney
Therefore in 1 hour Marna working alone can clean
\frac{7}{12}-\frac{1}{4}=\frac{1}{3}\ of\ a\ chimney
So, it takes Marna 3 hours to clean a chimney, working by herself.
3 0
3 years ago
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