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3 years ago

9

A family car is being tested for efficiency. It drives 100 miles nonstop and uses 3.2 gallons of gas. Write the ratio of distanc

e traveled to gallons of gas as a unit rate.

1 answer:

tester [92]3 years ago

8 0

Answer:

100/3.2

Step-by-step explanation:

100:3.2

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Can someone please help me

salantis [7]

Using Pythagorean theorem

$\\ \sf\longmapsto P^2=H^2-B^2$

$\\ \sf\longmapsto P^2=6^2-5^2$

$\\ \sf\longmapsto P^2=36-25$

$\\ \sf\longmapsto P^2=11$

$\\ \sf\longmapsto P=3.2$

4 0

2 years ago

Read 2 more answers

An open rectangular box having a volume of 108 in.3 is to be constructed from a tin sheet. Find the dimensions of such a box if

murzikaleks [220]

Answer:

6 in x 6 in x 3 in.

Step-by-step explanation:

Given

V = xyz = 108 ⇒ z = 108/(xy)

The amount of the material used is

S = xy + 2yz + 2xz

Put value of z from the volume

S = xy + 2y*108/(xy) + 2x*108/(xy) = xy + 216/x + 216/y

Now, we find the relative minimum of the function S(x,y)

First, we find the critical point. Set Sx = 0 and Sy = 0

and solve this system:

Sx(x,y) = y - (216/x²) = 0

Sy(x,y) = x - (216/y²) = 0

From the first equation we have

y = 216/x²

Put it in the second equation and find x

x - (216/(216/x²)²) = 0

⇒ x*(1 - (x³/216)) = 0

⇒ x₁ = 0 and x₂ = 6

Now, we can find y as follows

y₁ = 216/(0)² which is undefined

y₂ = 216/(6)² = 6

Hence, the only critical point of S is (6, 6). Next, we calculate the second ordered derivatives that we need for the second derivative test:

Sxx(x,y) = 432/x³

Sxy(x,y) = 1

Syy(x,y) = 432/y³

Applying the second derivative test

D(6, 6) = Sxx(6, 6)*Syy(6, 6) - S²xy(6, 6) = 2*2 - 1² = 4 -1 = 3 > 0

Sxx(6, 6) = 2 > 0

Since D(6, 6) > 0 and Sxx(6, 6) > 0 we can conclude that S has a relative minimum at (6, 6).

z coordinate is:

z = 108/(xy) = 108 / (6*6) = 3

Finally, the dimentions of a box are 6 in x 6 in x 3 in.

6 0

3 years ago

Which equation represents a circle with the same radius as

Elena-2011 [213]

Answer:

If the circle shown (which I can't see) has a radius of 2, then it's equation 3, if the radius is 4, then it's equation 4.

Step-by-step explanation:

The equation for a circle is $(x-h)^{2} +(y-k)^{2} =r^{2}$

Where (h, k) is the center and r is the radius.

5 0

3 years ago

Read 2 more answers

Click in the appropriate box to indicate the match of each table of values to its

taurus [48]

Answer:

ndjdjndbdhskmsbsiwkhsusnsgs

8 0

3 years ago

Solve for m please. No explanation needed thank you.

liq [111]

Answer is below.

<em>(Note to asker: Lack of explanations can get my answer deleted)</em>

<em />

<u><em>Step 1</em></u>

We'll to isolate the variable, but to do that, get rid of the coefficient that multiplies it.

To do that, divide both sides by 22.

$\frac{22m}{22}=\frac{22}{10}$

<em><u>Step 2.</u></em>

Now we have divided both sides by 22, but we'll need to reduce the fraction $\frac{22m}{22}$ .

We can reduce the fraction by dividing the factors that are in the numerator and denominator.

That being said, 22 appears both in the numerator and denominator.

$\frac{22m}{22}=m=\frac{2\times5}{2\times11}$

<u><em>Step 3</em></u>

Now, for $\frac{2\times5}{2\times11}$ , we'll need to reduce it to the lowest terms. Like in the 2nd step, we'll divide factors that are in the numerator and denominator.

That being said, 2 appears both in the numerator and denominator.

Hence, M = 5/11

3 0

3 years ago