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Dmitrij [34]
2 years ago
12

Joseph is a college student at The University of Texas. He made good grades in high school and received a scholarship that pays

for his school, housing and books. Joseph does not have a car, but still needs to pay for his own meals. He calculates that he needs to make at least $450 per month. He has a job working at the bookstore and gets paid $15 per hour. What is the minimum number of hours that Joseph must work per week to make $450 per month?
A. 40 hours
B. 7.5 hours
C. 22.5 hours
D. 11 hours
Mathematics
2 answers:
ki77a [65]2 years ago
7 0

Answer:

  Step-by-step explanation: cap

Dmitriy789 [7]2 years ago
7 0

Answer: 7.5

Step-by-step explanation:

I don't have the energy to explain but trust me in this guys you're welcome I did a lot of math but 7.5 is the answer /srs

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Find the area of triangle ABC with vertices A(2,1), B (12,2), C (12,8). Hence, or otherwise find the perpendicular distance from
Lapatulllka [165]
<h2>The area of a triangle is =54 square units</h2><h2>The perpendicular distance from B to AC is = \frac{108}{\sqrt{149} } units</h2>

Step-by-step explanation:

Given a triangle ABC with vertices A(2,1),B(12,2) and C(12,8)

x_1=2,y_1=1,x_2=12,y_2=2,x_3=12 and      y_3=8

The area of a triangle is= \frac{1}{2} [x_1(y_2-y_3) +x_2 (y_3- y_1)+x_3(y_1-y_2)]

=|\frac{1}{2} [2(2-8+12(8-1)+12(1-2)]|

=|-54| = 54 square units

The length of AC = \sqrt{(x_1-x_3)^{2} +(y_1-y_3)^2}

                          = \sqrt{(2-12)^{2} +(1-8)^2}

                         =\sqrt{149} units

Let the perpendicular distance from B to AC be = x

According To Problem

\frac{1}{2} \times  x \times \sqrt{149} = 54

⇔x =\frac{108}{\sqrt{149} } units

Therefore the perpendicular distance from B to AC is = \frac{108}{\sqrt{149} } units

5 0
3 years ago
Which are the solutions of x2 = -5x + 8?
Oksana_A [137]

Answer:

1.27, -6.27 to the nearest hundredth,

or if you require it in exact form,

-2.5 + √14.25,   -2.5 - √14.25.

Step-by-step explanation:

x^2 = -5x + 8

x^2 + 5x  = 8

Competing the square:

(x + 2.5)^2 - 6.25 = 8

(x + 2.5) = 14.25

x + 2.5 = +/-√14.25

x = -2.5 + √14.25,   -2.5 - √14.25

x = -2.5 + 3.77,  -2.5 - 3.77

= 1.27, -6.27.

6 0
3 years ago
Mary and Julie both have a goal of raising $1000 for charity. Mary raises $12 every 4 days. Julie raises $19 every 6 days.
baherus [9]
Julie would reach her goal first. Julie would reach her goal in approximately 316 days while it would take Mary approximately 333 days to reach it.

I know this because the steps to solve the problem are:

1.) 1,000/12 = 83.333 (to find how many days it would take her everyday)

2.) 83.333x4 = 333 (multiplying the answer by four makes it every four days)

3.) determine that it takes Mary 333 days

4.) 1,000/19 = 52.631 (just like step 1 but with different numbers)

5.) 52.631x6 = 316 (just like in step 2 but different numbers)

6.) determine it takes Julie 316 days

7.) 316 < 333 (takes Julie less time)
6 0
3 years ago
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lubasha [3.4K]

Answer:

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Step-by-step explanation:

Slope ,

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3 0
3 years ago
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30% in simplest form
Lady bird [3.3K]

Answer:

I think it's 3/10

Step-by-step explanation:

5 0
2 years ago
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