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Alik [6]
3 years ago
12

Some liquid will be poured from a 16 ounce container until it is filled to the percent of the the larger container (87.5%).How m

any ounces of liquid must be poured from to reach the full 16 ounce container?
Mathematics
1 answer:
4vir4ik [10]3 years ago
8 0

Answer:

16 ounces

Step-by-step explanation:

First we are told that a container has a capacity of 16 ounces of liquid and therefore 16 ounces of liquid can fill that one container

The 16 ounces liquid from the 16 ounce container is fully emptied in a larger container and fills 87.5% of the larger container therefore the larger container is:

100/87.5×16 ounces= 18.285 ounces in liquid capacity

Therefore to fill the smaller 16 ounce container, the larger container would have to pour 16 ounces of liquid into the smaller container, and would would still have 18.285-16=2.285 ounces if it(the larger container) were filled to the brim(100%)

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A set of data points has a line of best fit of y=-0.2x+1.8. What is the residual for the point (5,1)?
Grace [21]
Hello!

The residual for the point (5,1) is

To calculate residuals, we need to calculate the value of the line of best fit in the same x coordinate as the point we want to study to know the Predicted-y-value. To do so, we make the substitution of 5 into the equation:

y=-0,2x+1,8 \\ y=-0,2*(5)+1,8=0,8

Now we determine the residual with the following equation:

Residual=yobs-ypred=1-0,8=0,2

Have a nice day!
4 0
3 years ago
Read 2 more answers
Find the angle of the sector given the radius and the area of the sector.
gregori [183]

Answer:

270 degrees

Step-by-step explanation:

Area  \: of  \: the  \: sector  \\  \\  =  \frac{ \theta}{360 \degree} \times  \pi {r}^{2} \\  \\ 339.3 =  \frac{ \theta}{360 \degree} \times  3.14 {(12)}^{2}  \\  \\ 339.3 =  \frac{ \theta}{360 \degree} \times  3.14  \times 144 \\  \\  \theta =  \frac{339.3 \times 360 \degree}{3.14 \times 144} \\  \\  \theta =  \frac{122,148\degree}{452.16}  \\  \\  \theta= 270.143312 \degree \\  \\ \theta \approx \:  270\degree

5 0
3 years ago
Consider the line y=10 x -1 and the point P=(2,0). (a) Write the formula for a function d(x) that describes the distance between
LuckyWell [14K]

Answer:

the formula for a function d(x) that describes the distance is d(x)=\sqrt{101x^{2}-24x+5}

Step-by-step explanation:

We are going to define final point P_{f}=(2,0), and initial point P_{i}=(x,y)=(x,10x-1), then we can use d=\sqrt{(x_{f}-x_{i})^{2}+(y_{f}-y_{i})^{2}}, so we obtain d(x)=\sqrt{(2-x)^{2}+(0-(10x-1))^{2}}, by developing it d(x)=\sqrt{(2-x)^{2}+(0-(10x-1))^{2}}\\d(x)=\sqrt{4-4x+x^{2}+(1-10x)^{2}}\\d(x)=\sqrt{4-4x+x^{2}+1-20x+100x^{2}}\\d(x)=\sqrt{101x^{2}-24x+5}\\

This formula describes the distance between those two points and involves x

3 0
3 years ago
The tires of a go-cart are 1 m in circumference. The tires revolve 15 times per second. What is the distance the go-cart travels
Likurg_2 [28]

Answer:

600 m

Step-by-step explanation:

The circumference of a tire is the distance around it.  The distance around these tires is 1 m.  

Since the tires revolve 15 times per second, this means every second the tires travel 15 m.

This means that in 40 seconds, the tires travel

15(40) = 600 m.

8 0
3 years ago
How can using properties help you to simplify expressions?
alina1380 [7]
Well,properties can help you because you can shorten or make an equation more understandable, like using distributive property in the example 2(5x-3), you can rewrite it as 10x-6. See?
4 0
3 years ago
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