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Anvisha [2.4K]
2 years ago
5

A man works a basic week of 32 hours and earns $172.48. Find his basic rate of pay

Mathematics
1 answer:
kodGreya [7K]2 years ago
7 0

Answer:

$5.39/hour

Step-by-step explanation:

32 hours = 172.48

1 hour = 172.48 / 32

1 hour = 5.39

therefore, he earns $5.39/hour

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Write an equation in slope intercept form for the line that passes through (2,-2) and is parallel to y=-5/2x+5
DENIUS [597]

y=mx+b\\y=x-2

<em>Only y= x - 2 intercepts x-axis at 2 and y-axis at -2. Thus meaning that they intercept oppositely.</em>

<em>Find if both graphs are parallel, that means the equation must be false.</em>

<em />x-2=-\frac{5}{2}x+5<em />

<em>Multiply whole equation by 2 to get rid of the fractional 2.</em>

<em />2x-(2)(2)=-\frac{5}{2}(2)(x)+5(2)\\ 2x-4=-5x+10\\2x-4+5x-10=0\\7x-14=0\\7x=14\\x=2<em />

<em>Well, that doesn't seem to be parallel. This is called one solution answer. Both graphs intercept at (2,0). There are no linear graphs that intercept at (2,-2) except for y = x-2 so there are no graphs with (2,-2) that are parallel to the equation y = -5x/2+5 </em>

8 0
3 years ago
Aye can yall help me right quick
sladkih [1.3K]

Answer:

10 for the empty box

Step-by-step explanation:

When your placing them on the graph the one on the left side is x axis (the horizontal line) and the one on the right is the y axis (the vertical line)

Hope this helps!

3 0
3 years ago
2. Construct Arguments An ostrich runs 6 miles
Alekssandra [29.7K]

Answer:

<u>At a constant speed of 0.5 miles per minute, the ostrich can run 20 miles in 40 minutes. The unit rate is 0.5 miles per minute.</u>

Step-by-step explanation:

Distance run by the ostrich = 6 miles

Time the ostrich takes to run this distance = 12 minutes

Speed of the ostrich = Distance / Time

Speed of the ostrich = 6 miles / 12 minutes = 0.5 miles per minute

How far the  ostrich could run in 40 minutes?

If the ostrich run 0.5 miles per minute, this is the formula:

Speed of the ostrich * 40 minutes = Distance

0.5 miles/minute * 40 minutes = 20 miles (Minutes is simplified in the numerator and the denominator on the left side)

<u>At a constant speed of 0.5 miles per minute, the ostrich can run 20 miles in 40 minutes. The unit rate is 0.5 miles per minute.</u>

6 0
3 years ago
The board of examiners that administers the real estate broker's examination in a certain state found that the mean score on the
Goshia [24]

Answer:

The passing score is 645.2

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 553, \sigma = 72

If the board wants to set the passing score so that only the best 10% of all applicants pass, what is the passing score?

This is the value of X when Z has a pvalue of 1-0.1 = 0.9. So it is X when Z = 1.28.

Z = \frac{X - \mu}{\sigma}

1.28 = \frac{X - 553}{72}

X - 553 = 1.28*72

X = 645.2

The passing score is 645.2

6 0
3 years ago
Simplify the following surd expressions<br> a) 7/3 - 2/3 + V3 - 3V3
Nata [24]

Answer:

\frac{7}{3}-\frac{2}{3}+\sqrt{3}-3\sqrt{3}=\frac{5}{3}-2\sqrt{3}    

Step-by-step explanation:

Given the expression

\frac{7}{3}\:-\:\frac{2}{3}\:+\:v^3\:-\:3v^3

solving the expression

\frac{7}{3}\:-\:\frac{2}{3}\:+\:\sqrt{3}-3\sqrt{3}

combine the fractions i.e \frac{7}{3}-\frac{2}{3}=\frac{5}{3}

\frac{7}{3}\:-\:\frac{2}{3}\:+\:\sqrt{3}-3\sqrt{3}=\frac{5}{3}+\sqrt{3}-3\sqrt{3}

add similar elements  i.e \sqrt{3}-3\sqrt{3}=-2\sqrt{3}

                                 =\frac{5}{3}-2\sqrt{3}      

Thus,

\frac{7}{3}-\frac{2}{3}+\sqrt{3}-3\sqrt{3}=\frac{5}{3}-2\sqrt{3}                        

4 0
3 years ago
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