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Alinara [238K]
3 years ago
12

96.

Mathematics
1 answer:
grin007 [14]3 years ago
4 0
3.5x+2y=total. X is adults. Y is children
(3.5 times 2) plus (2 times 3). 7 plus 6. Total is 13$
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What is the kinetic energy of the ball just before it hits the ground?
ankoles [38]

The potential energy is 784 J when it's sitting on the stop of the building.

7 0
3 years ago
Nancy is making a kite based on the pattern below. About how much binding does Nancy need to cover the edges of the kite?
Ainat [17]

Check the picture below.

so the perimeter of the kite is x+x+y+y, namely 2x + 2y.


\bf \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies c=\sqrt{a^2+b^2} \qquad \begin{cases} c=\stackrel{hypotenuse}{x}\\ a=\stackrel{adjacent}{8}\\ b=\stackrel{opposite}{15}\\ \end{cases} \\\\\\ x=\sqrt{8^2+15^2}\implies x=\sqrt{289}\implies \boxed{x=17} \\\\[-0.35em] ~\dotfill

\bf \begin{cases} c=\stackrel{hypotenuse}{y}\\ a=\stackrel{adjacent}{8}\\ b=\stackrel{opposite}{4}\\ \end{cases}\implies y=\sqrt{8^2+4^2}\implies y=\sqrt{80}\implies \boxed{y\approx 8.94} \\\\[-0.35em] ~\dotfill\\\\ 2x+2y\implies 2(17)+2(8.94)\implies 51.88\implies \stackrel{\textit{rounded up more}}{51.9}

4 0
4 years ago
I don’t know how to solve this
V125BC [204]

Assuming that both triangles are an exact copy of one another, it is safe to assume that 3y-7 is equal to 41. Set up an equation

3y-7=41

Add 7 to both sides

3y=48

Divide both sides by 3

y=16


Now to find PN.

Based on what we know, we can assume that MP = PN. Let's make some equations!

MP = 17x-8     PN = 11x+4

17x-8 = 11x+4

Subtract 11x from both sides

6x-8 = 4

Add 8 to both sides

6x = 12

Divide by 2

x=2

Substitute 2 in for x in the equation for PN

11(2)+4

Multiply 11 by 2

22+4 = 26

PN = 26

7 0
3 years ago
Find the equation of the line which is perpendicular to the line y=− 1 3 x+6 through the point (2,4)
nikklg [1K]

The equation of the perpendicular line is   13y=27-x

Step-by-step explanation:

Writing the given equation to slope-intercept form.

y=− 1 3 x+6

The slope of this line is 13

The perpendicular slope is -1/13

Using  the new slope and the given point into the slope-intercept form to find the y-intercept.  

4=-1/13(2)+c

2=-1/13+c

c=27/13

 y=-1/13x+27/13

So the equation of the perpendicular line is 13y=27-x

5 0
3 years ago
Read 2 more answers
1. Miles and Simon do chores to earn an allowance from their parents. Miles has $120 saved and gets a $10 allowance per week. Hi
Alenkinab [10]

Answer:

120 +10w = 75 + 15w, w=weeks, found by adding savings to rate times and unknown variable of weeks and setting equal to each other. 9 wks, $210

Step-by-step explanation:

120 +10w = 75 + 15w

120-75= - 10w+15w

45=5w

45/5=9

9 weeks

120 + 90 = 75 + 135

210= 210

4 0
3 years ago
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