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Svetach [21]
3 years ago
8

Dylan makes $336 for 32 hours of work, and Angela makes $420 for 42 hours of work. How much do Dylan and Angela each make per ho

ur?
Is Dylan's wage for 25 hours proportional to Angela's wage for 42 hours? Why or why not?
Mathematics
2 answers:
vladimir2022 [97]3 years ago
7 0

Answer:

1. Dylan : $336/32 hrs = 10.50/ hr Angela : $420/42hrs = $ 10.00/hr

2. No because $ 10.50x25 262.50 where ambers is 15 420 there unit rate is different.

Step-by-step explanation:

Svet_ta [14]3 years ago
3 0
Dylan makes 10.50 and Angela makes 10.00 per hour
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What is the volume of this container?
Ostrovityanka [42]

Answer:

105 feet cubed

Step-by-step explanation:

1/2 cubed is 0.125 Since there are 840 wooden blocks, .125x840 is 105 feet cubed

7 0
3 years ago
Find the equation of a line that is perpendicular to y = 3x – 5 and passes through the point (1, -3).
Svetradugi [14.3K]

keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above

\begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}\qquad \qquad y = \stackrel{\stackrel{m}{\downarrow }}{3}x-5

well then therefore

\stackrel{\textit{perpendicular lines have \underline{negative reciprocal} slopes}} {\stackrel{slope}{3\implies \cfrac{3}{1}} ~\hfill \stackrel{reciprocal}{\cfrac{1}{3}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{1}{3}}}

so we're really looking for the equation of a line with slope of -1/3 and that passes through (1, -3 )

(\stackrel{x_1}{1}~,~\stackrel{y_1}{-3})\qquad \qquad \stackrel{slope}{m}\implies -\cfrac{1}{3} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-3)}=\stackrel{m}{-\cfrac{1}{3}}(x-\stackrel{x_1}{1})\implies y+3=-\cfrac{1}{3}x+\cfrac{1}{3} \\\\\\ y=-\cfrac{1}{3}x+\cfrac{1}{3}-3\implies y=-\cfrac{1}{3}x-\cfrac{8}{3}

6 0
2 years ago
The class sizes of elementary school classes in a public school district are normally distributed with an unknown population mea
weqwewe [10]

Answer: (17.14,\ 22.86)

Step-by-step explanation:

The confidence interval estimate for the population mean is given by :-

\overline{x}\pm ME, where \overline{x} is the sample mean and ME  is the margin of error.

Given : Sample mean: \overline{x}=20

The margin of error for a 98% confidence interval estimate for the population mean using the Student's t-distribution : ME=2.86

Now, the confidence interval estimate for the population mean will be :-

20\pm2.86=(20-2.86,\ 20+2.86)=(17.14,\ 22.86)

Hence, the 98% confidence interval estimate for the population mean using the Student's t-distribution =  (17.14,\ 22.86)

8 0
3 years ago
Use a number line to explain why --15 ÷ 3 =-15
Diano4ka-milaya [45]
It's equal to -15 because you are dividing by an negative and if it's only 1 negative number in your equation then your answer will be a negative and if it's 2 negatives then it would be a positive answer
7 0
3 years ago
38.5 divided by 0.5 =
Dmitry_Shevchenko [17]
38.5:0.5=385:5=(300+80+5):5\\\\=300:5+80:5+5:5=60+16+1=77
7 0
3 years ago
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