All categories

4 years ago

Sam drove 754 miles in 13 hours, at the same rate how many miles would he drive in 9 hours

Mathematics

2 answers:

VARVARA [1.3K]4 years ago

8 0

Divide 754 by 13 and you get 58
Now multiply by 9 and you get 522 miles.

joja [24]4 years ago

4 0

754/13 = 58 miles

That would mean Sam drove 58 miles per hour.

58 • 9 = 522 miles

So in 9 hours at the same rate, Sam would drive 522 miles.

You might be interested in

, find f^{-1}(x)f −1 (x)

Stolb23 [73]

Answer:

Multiply the numerator by the reciprocal of the denominator. Multiply x x by 1 1 . Since g(f(x))=x g ( f ( x ) ) = x , f−1(x)=1x f - 1 ( x ) = 1 x is the inverse of f(x)=1x f ( x ) = 1 x .

Step-by-step explanation:

5 0

2 years ago

A rectangular storage container with an open top is to have a volume of 10 m3 . then length of its base is twice the width. mate

katrin [286]

Answer:

The cost of materials for the cheapest such container is $163.54.

Step-by-step explanation:

A rectangular storage container with an open top is to have a volume of 10 m³.

The volume of the rectangle is

$\text{Volume} =\text{Length} \times \text{Width} \times \text{Height}$

Length of its base is twice the width.

Let Width be 'w'.

Length is l=2w.

Height be 'h'.

$10 =2w\times w\times h$

$10=2w^2h$

The height in terms of width is represented as,

$h=\frac{10}{2w^2}$

$h=\frac{5}{w^2}$

According to question,

The cost is 10 times the area of the base and 6 times the total area of the sides.

i.e. Cost is given by,

$C=10(L\times W)+6(2\times L\times H+2\times W\times H)$

$C=10(2w\times w)+6(2\times 2w\times \frac{5}{w^2}+2\times w\times \frac{5}{w^2})$

$C=20w^2+\frac{120}{w}+\frac{60}{w}$

$C(w)=20w^2+\frac{180}{w}$

To get the minimum value,

Differentiate the cost w.r.t 'w',

$C'(w)=20\frac{d(w^2)}{dw}+180\frac{d(w^{-1})}{dw}$

$C'(w)=20\times 2w-180 w^{-2}$

$C'(w)=40w-\frac{180}{w^2}$

To find critical points put derivate =0,

$40w-\frac{180}{w^2}=0$

$40w=\frac{180}{w^2}$

$w^3=\frac{180}{40}$

$w=\sqrt[3]{4.5}$

$w=1.65$

We find the second derivative to minimize,

$C''(w)=40\frac{d(w)}{dw}-180\frac{d(w^{-2})}{dw}$

$C''(w)=40+360(w^{-3})$

$C''(w)>0$

As $C''(w)>0$ it is the minimum cost.

The cost is minimum at w=1.65.

Substitute the values in the cost function,

$C(1.65)=20(1.65)^2+\frac{180}{1.65}$

$C(1.65)=54.45+109.09$

$C(1.65)=163.54$

Therefore, the cost of materials for the cheapest such container is $163.54.

7 0

3 years ago

A fruit basket contains only apples and bananas. If there are 8 apples and 13 bananas, what is the ratio of bananas to fruit? Se

guapka [62]

Answer:

The ratio of bananas to total fruit is 13:21

Step-by-step explanation:

Since we already know the amount of apples and pears, we can find the total. 13+8=21, and since we know the number of pears, 13, we can say that the ratio is 13:21.

Answer: 13:21

8 0

3 years ago

Read 2 more answers

WHOEVER GETS IT RIGHT GETS BRAINLIEST

Ierofanga [76]

think the answer is d

5 0

3 years ago

The perimeter of a rectangular painting is 352 centimeters. If the length of the painting is 98 centimeters, what is its width?

den301095 [7]

Thee formula for perimeter is P = 2L + 2W. We know the P is 352 and the L is 98, so fill in the formula accordingly: 352 = 2(98) + 2W and 156 = 2W so W = 78

4 0

3 years ago