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Nostrana [21]
3 years ago
12

Mary mixes white paint and blue paint in the ratio 2:5.

Mathematics
1 answer:
sukhopar [10]3 years ago
6 0

Answer:Add 44 liters blue

Step-by-step explanation:Mary has 20 liters of paint mixed white:blue in the ratio 2:3.  So two fifths of that paint is white and three fifths is blue.  So that's 8 liters white, 12 liters blue.

We want to add paint to get white:blue = 1:7.  Clearly we need to add blue.  We have our 8 liters of white, so we need a total of 7(8)=56 liters of blue.  We already have 12, so we have to add 56-12=44 liters of blue paint:

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The measure of an angle is seventy-one times the measure of its supplementary angle. What is the measure of each angle?
Degger [83]

Answer:

2 degrees and 178 degrees.

Step-by-step explanation:

So, remember if 2 angles are supplementary, they equal 180 degrees. Let's call the smaller angle x, meaning the bigger angle, which is 89 times the size of the smaller angle, would be 89x. Now let's put that into an equation.

180 = x + 89x

We now have to group the x's together:

180 = 90x

Now in order to determine x, we have to divide by 90 on both sides.

X= 2

So we know that the smaller angle is 2, meaning that if the larger angle is 89 times the size, the larger angle would be 178.

4 0
3 years ago
Please help!!!!!
wel

Answer:

I believe that your answer should be B, because on the graph it shows that Mitchell is spending more money.

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8 0
3 years ago
Solve for X in the rectangle?
Brilliant_brown [7]

Answer:

x=6

Step-by-step explanation:

13x+12=90

13x=78

x=6

6 0
3 years ago
Read 2 more answers
Suppose that we don't have a formula for g(x) but we know that g(3) = −5 and g'(x) = x2 + 7 for all x.
Leni [432]

Answer:

a)

g(2.9) \approx -6.6

g(3.1) \approx -3.4

b)

The values are too small since g'' is positive for both values of x in. I'm speaking of the x values, 2.9 and 3.1.

Step-by-step explanation:

a)

The point-slope of a line is:

y-y_1=m(x-x_1)

where m is the slope and (x_1,y_1) is a point on that line.

We want to find the equation of the tangent line of the curve g at the point (3,-5) on g.

So we know (x_1,y_1)=(3,-5).

To find m, we must calculate the derivative of g at x=3:

m=g'(3)=(3)^2+7=9+7=16.

So the equation of the tangent line to curve g at (3,-5) is:

y-(-5)=16(x-3).

I'm going to solve this for y.

y-(-5)=16(x-3)

y+5=16(x-3)

Subtract 5 on both sides:

y=16(x-3)-5

What this means is for values x near x=3 is that:

g(x) \approx 16(x-3)-5.

Let's evaluate this approximation function for g(2.9).

g(2.9) \approx 16(2.9-3)-5

g(2.9) \approx 16(-.1)-5

g(2.9) \approx -1.6-5

g(2.9) \approx -6.6

Let's evaluate this approximation function for g(3.1).

g(3.1) \approx 16(3.1-3)-5

g(3.1) \approx 16(.1)-5

g(3.1) \approx 1.6-5

g(3.1) \approx -3.4

b) To determine if these are over approximations or under approximations I will require the second derivative.

If g'' is positive, then it leads to underestimation (since the curve is concave up at that number).

If g'' is negative, then it leads to overestimation (since the curve is concave down at that number).

g'(x)=x^2+7

g''(x)=2x+0

g''(x)=2x

2x is positive for x>0.

2x is negative for x.

That is, g''(2.9)>0 \text{ and } g''(3.1)>0.

So 2x is positive for both values of x which means that the values we found in part (a) are underestimations.

6 0
3 years ago
What is the value of y?<br><br> Enter your answer in the box.
8090 [49]

Answer:64

Step-by-step explanation:

Add 79 with 37 an you will get 116 you need to know the total angle for a triangle is 180 so 180 minus 116 is 64

6 0
3 years ago
Read 2 more answers
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