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3 years ago

Doug earns $10.50 per hour working at a restaurant. On

1 answer:

3 0

First, add all of the working hours.
1 $\frac{3}{4}$ + 2 $\frac{1}{3}$ + 1 $\frac{5}{12}$

Since the denominators are different, make them all the same.
1 $\frac{9}{12}$ + 2 $\frac{4}{12}$ + 1 $\frac{5}{12}$

Add everything together.
4 $\frac{1}{12}$ + 1 $\frac{5}{12}$ = 5 $\frac{6}{12}$

Then, simplify.
5 $\frac{1}{2}$ or 5.5

Multiply the time by the salary.
5.5*10.5= Doug earned $57.75

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A 4-foot tall child walks directly away from a 12-foot tall lamppost at 2 mph. How quickly is the length of her shadow increasin

xz_007 [3.2K]

Answer:

The length of the shadow is increasing with the rate of 1.5 feet per sec

Step-by-step explanation:

Let AB and CD represents the height of the lamppost and child respectively ( shown below )

Also, let E be a point represents the position of child.

In triangles ABE and CDE,

$\angle ABE\cong \angle CDE$ ( right angles )

$\angle AEB\cong \angle CED$ ( common angles )

By AA similarity postulate,

$\triangle ABE\sim \triangle CDE$

∵ Corresponding sides of similar triangles are in same proportion,

$\implies \frac{AB}{CD}=\frac{BE}{DE}$

We have, AB = 12 ft, CD = 4 ft, BE = BD + DE = 6 + DE,

$\implies \frac{12}{4}=\frac{6+DE}{DE}$

$12DE = 24 + 4DE$

$8DE = 24$

$DE=3$

Now, the speed of walking = 2 mph = $\frac{2\times 5280}{3600}\approx 2.933\text{ ft per sec}$

Note: 1 mile = 5280 ft, 1 hour = 3600 sec

Thus, the time taken by child to reach at E

$= \frac{\text{Walked distance}}{\text{Walking speed}}$

$=\frac{6}{2.933}$

= 2.045 hours

Hence, the change rate in the length of shadow

$= \frac{\text{Length of shadow}}{\text{Time taken}}$

$=\frac{3}{2.045}$

= 1.5 ft per sec.

3 0

3 years ago

Solve using substitution x + 3y = 9 -2x + y = -4 HURRY I NEED HELP

bogdanovich [222]

Answer:

Hello There!!

Step-by-step explanation:

1)x+3y+−3y=9+−3y

x=−3y+9

2)−2x+y+−y=−4+−y

−2x/-2=−y−4/-2

x=1/2 y+2

hope this helps,have a great day!!

~Pinky~

6 0

3 years ago

"A histogram of a set of data indicates that the distribution of the data is skewed right. Which measure of central tendency wil

sineoko [7]

Answer:

the mean

Step-by-step explanation:

A right skewed histogram is a positive skewed histogram (which means the tail is longer the positive direction) that have its tail to the right.

For a right skewed histogram the mean has a larger value that the median because the peak of the skewness is fall in the median range then the mean follow to the right. and the data drive the mean value to the right which increase in value.

6 0

3 years ago

Which is equivalent to (4 x y minus 3 z) squared, and what type of special product is it?

Monica [59]

$(4xy-3z)^2=16x^2y^2-24xyz+9z^2$