What is 171 : 3 in unite rate

Tom and Martin both worked 9 hours this week and sold $360 worth of meals. Their hourly wages are $2.15 and $2.50, respectively.

serious [3.7K]

Tom and Martin worked <u>9 hours</u> this week.

These are their hourly wages:

Tom: $2.15

Martin: $2.50

This means that:

Tom earned 9 x $2.15 in wages, which is equal to $19.35.

Martin earned 9 x $2.50 in wages, which is equal to $22.50.

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Now, we've been told that Tom and Martin sold $360 worth
of meals but we were not told how much they received in tips.

For all intents and purposes, let's say that they received $n
in tips. 15% of $n in tips would be less than 20% of $n
in tips. Now, Martin is already going to be receiving a higher
wage, and the fact that he is going to be receiving 20% of
$n in tips compounds the logical conclusion that at the end
of the week, he'd be leaving work with more money than Tom.

Answer:

Martin made more money than Tom.

3 0

3 years ago

You deposit $500 into a bank account that pays 2% simple interest. You leave the money in the account for 3 years and no additio

Natasha_Volkova [10]

$\bf ~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\dotfill & \$500\\ r=rate\to 2\%\to \frac{2}{100}\dotfill &0.02\\ t=years\dotfill &3 \end{cases} \\\\\\ I=(500)(0.02)(3)\implies I=30~\hfill \stackrel{\textit{total amount in the account}}{500+30\implies 530}$

4 0

3 years ago

Find the equation of the line that is parallel to 4x - 8y equals 9 and passes through (-3, 6)

vazorg [7]

For this case we have the following equation:

$4x-8y = 9$

We manipulate algebraically to bring the equation to the slope-intersection form y = mx + b

Where:

m: It's the slope

b: It is the cut-off point with the y axis

$8y = 4x-9\\y =\frac {4} {8} x- \frac {9} {8}\\y =\frac {1} {2} x- \frac {9} {8}$

By definition, if two lines are parallel then their slopes are equal.

Thus, the line is of the form:

$y = \frac {1} {2} x + b$

We find the cut-off point by replacing the given point:

$6 = \frac {1} {2} (- 3) + b\\6 = - \frac {3} {2} + b\\b = 6 + \frac {3} {2}\\b = \frac {12 + 3} {2}\\b = \frac {15} {2}$

Thus, the line is of the form:

$y = \frac {1} {2} x + \frac {15} {2}$

Answer:

$y = \frac {1} {2} x + \frac {15} {2}$

6 0

3 years ago

PLSS HELP ILL GIVE YOU BRAINLIEST!!

uysha [10]

Answer:

Step-by-step explanation:

Q1)

Use Phythogoras theorem:

$(AC)^2=(BC)^2+(AB)^2\\BC^2=AC^2-AB^2\\BC^2=6^2-4^2\\BC^2=36-16\\BC^2=20\\\\Apply\ square\ on\ both\ sides\\\\\sqrt{BC^2}=\sqrt{20} \\BC=\sqrt{20} \\BC=\sqrt{10(2)} \\BC=\sqrt{5(2)(2)} \\BC=2\sqrt{5}$

Q2)

Apply phythogoras theorem:

$CD^2=CE^2+DE^2\\CD^2=7^2+9^2\\CD^2=49+81\\CD^2=130\\\\Apply\ square\ root\ on\ both\ sides\\\\\\sqrt{CD^2} = \sqrt{130} \\\\CD=\sqrt{130} \\\\CD=11.4$

Q3)

Apply phythogoras theorem again:

$BC^2=BD^2+CD^2\\BC^2=7^2+13^2\\BC^2=49+169\\BC^2=218\\\\Apply\ square\ root\ on\ both\ sides\\\\\\sqrt{BC^2} =\sqrt{218} \\\\BC=\sqrt{218} \\\\BC=14.76$

I have an attached an image for Question 2 for better understanding the length of DE in question equals 15 - 6 = 9

4 0

3 years ago

A bin contains seven red chips, nine green chips, three yellow chips, and six blue chips. Find the probability of selecting thre

kotykmax [81]

Answer:

a.) 21/575

Step-by-step explanation:

7 0

3 years ago