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KIM [24]
3 years ago
12

Petrolium motor oil is a combination of natural oil and synthetic oil. It contains 7 liters of natural oil for every 4 liters of

synthetic oil. In order to make 814 liters of Petrolyn oil, how many liters of synthetic oil are needed?
Mathematics
1 answer:
Ber [7]3 years ago
4 0
4/11 of the motor oil is synthetic oil

ratio is 4:11
multiply that by 74, you get the ratio of natural oil to petroleum oil is 296:814.

you need 296 liters of synthetic oil
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A triangle is removed from the rectangle. Find the area of the remaining figure.
Mariulka [41]

Answer

C) 160 in^2


Step by step explanation

First, let's find the area of the rectangle.

Area of a rectangle = length x width

The area of the rectangle = 20 * 10

= 200 in^2

Now let's find the area of the triangle that is removed.

Area of a triangle = 1/2 base * height.

Here base = 10 and height = 8. Plug in these values into the formula, we get

Area of the triangle = 1/2 * 10*8

= 5* 8

The area of the triangle = 40 in^2

The area of the remaining figure = Area of the rectangle - area of the triangle

=  200 - 40

= 160 in^2

The answer is "160 in^2"

Thank you.

5 0
3 years ago
Points A and B are the endpoints of an arc of a circle. Chords are drawn from the two points to a third point, C on the circle. 
Gwar [14]
C. 65 degrees is the answer.
7 0
3 years ago
Y=x^2-2x-1 and y=-3x+5 solved algebraically
eduard

Answer:

Step-by-step explanation:

y=x²-2x-1

and y=-3x+5

x²-2x-1=-3x+5

x²+x-6=0

x²+3x-2x-6=0

x(x+3)-2(x+3)=0

(x+3)(x-2)=0

x=-3,2

when x=-3

y=-3×-3+5=9+5=14

when x=2

y=-3×2+5=-6+5=-1

so solutions are (-3,14) and (2,-1)

3 0
3 years ago
A line with a slope of -1 passes through the point (2,-1). If (-4, p) is another point on the line,
Thepotemich [5.8K]

(\stackrel{x_1}{2}~,~\stackrel{y_1}{-1})\qquad (\stackrel{x_2}{-4}~,~\stackrel{y_2}{p}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{p}-\stackrel{y1}{(-1)}}}{\underset{run} {\underset{x_2}{-4}-\underset{x_1}{2}}}~~= ~~\stackrel{\stackrel{m}{\downarrow }}{-1}\implies \cfrac{p+1}{-6}=-1\implies p+1=6\implies p=5

7 0
3 years ago
An element with mass 670 grams decays by 27.3% per minute. How much of the element is remaining after 9 minutes, to the nearest
ArbitrLikvidat [17]
There will be 38 grams remaining.

The equation would be of the form
y = a(1+r)ˣ, where a is the initial value, r is the rate as a decimal number, and x is the amount of time.  Using our values from the problem, we have:

y = 670(1-0.273)^9 = 670(0.727)^9 = 38
6 0
3 years ago
Read 2 more answers
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