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mote1985 [20]
3 years ago
11

5. Find the constant of proportionality for the equation 5y = 75x.

Mathematics
1 answer:
gizmo_the_mogwai [7]3 years ago
7 0
C. K= 70 would be right
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4x-3y=2<br> 3x=5y=16<br> solve using substitution method
vodomira [7]

\left\{\begin{array}{ccc}4x-3y=2&|\text{add 3y to both sides}\\3x+5y=16\end{array}\right\\\left\{\begin{array}{ccc}4x=3y+2&|\text{divide both sides by 4}\\3x+5y=16\end{array}\right\\\left\{\begin{array}{ccc}x=0.75y+0.5&(*)\\3x+5y=16\end{array}\right\\\\\text{substitute}\ (*)\ \text{to the second equation}\\\\3(0.75y+0.5)+5y=16\qquad\text{use distributive property}\\\\(3)(0.75x)+(3)(0.5)+5y=16\\\\2.25y+1.5+5y=16\qquad\text{subtract 1.5 from both sides}\\\\7.25y=14.5\qquad\text{divide both sides by 7.25}

\boxed{y=2}\\\\\text{substitute the value of y to}\ (*):\\\\x=0.75(2)+0.5\\\\x=1.5+0.5\\\\\boxed{x=2}\\\\Answer:\ x=2\ and\ y=2\to(2,\ 2)

7 0
3 years ago
A semicircular archway is built in front of a garden using 8 congruent granite tiles, as shown in the diagram. Find the area of
crimeas [40]
So there's 8 tiles.
Radius from archway to the outer edge would be : 7 +1 = 8ft

You can use this formula to count the area of semi circle : π r^2/2

A = 3.14 x 8ft^2 = 100.48 ft ^2
A = 3.14 x 7ft^2=  76.92  ft^2

100.48 - 76.92 = 23.55 ft^2

Then you have to divide it with the total tiles 
23.55/8 = 2.94 ft^2 per tile >> (rounded to nearest tenth)

hope this helps
5 0
3 years ago
Will Mark Brainliest!!!!!!
astraxan [27]
You want to find the value of x for which the area under the curve to the left of x is 0.6. One way to do that is to create the cumulative distribution function (CDF) for the given PDF, then see where it is equal to 0.6.

Doing that, we find a = 5.

5 0
3 years ago
In a video racing game, an obstacle randomly appears on the race track 3 times every 20 laps. Estimate the number of times the o
Black_prince [1.1K]

Answer:

15

Step-by-step explanation:

100 laps

100 divided by 20 Is 5

3 x 5 is 15

please brainliest me

6 0
3 years ago
A rock show is being televised the lead singer who is 75 inches tall is 15 inches tall on a TV monitor the image of the bass pla
VladimirAG [237]
75 : 15 = x : 13
15 x = 75 · 13
15 x = 975
x = 975 : 15
x = 65
Answer:
The bass player is 65 inches tall.
6 0
3 years ago
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