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1 year ago

A ship is carrying 10,250 pounds of individually boxed TV sets. If each box weighs 20.5 pounds, how many boxes are on the ship?

Mathematics

2 answers:

joja [24]1 year ago

5 0

divide total weight by weight of each box

10250 / 20.5 = 500 boxes total

ololo11 [35]1 year ago

3 0

There are 500 boxes on the ship

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Compute the integral (a) int sin (pi x) dx by letting u = pi x. (b) int e^(x/2) dx by letting u = x/2. Show that you got the cor

Maslowich

Answer:

(a) $\int sin(\pi x) dx$ $=-\frac {cos \pi x}{\pi}+c$

(b) $\int e^\frac{x}{2} dx$ $=2e^\frac{x}{2}+c$

Step-by-step explanation:

(a)

$\int sin(\pi x) dx$

Let u = π x

differentiating with respect to x

du = π dx

$\Rightarrow dx=\frac{du}{\pi}$

Putting the value of x and dx

$=\int sin u \frac{du}{\pi}$

$=\frac{-cos u}{\pi}+c$ [ c is an arbitrary constant]

Now putting the value of u

$=-\frac {cos \pi x}{\pi}+c$

(b)

$\int e^\frac{x}{2} dx$

Let $u=\frac{x}{2}$

differentiating with respect to x

$du= \frac{1}{2} dx$

2du = dx

Putting the value of x and dx

= $\int e^u.2.du$

= $2e^u +c$

Now putting the value of u

$=2e^\frac{x}{2}+c$ [ c is an arbitrary constant]

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1 year ago

In a survey, Damian found that 75% of the total number of teenagers surveyed like pop music. If 150 teenagers like pop music, wh

djyliett [7]

Answer:

200 teenagers

Step-by-step explanation:

150÷0.75= 200

checking work:

200•0.75= 150

hope this helps chu <3

7 0

1 year ago

Read 2 more answers

Which table can be created using the equation below? –2 + 4x = y A 2-column table with 3 rows. Column 1 is labeled x with entrie

Pachacha [2.7K]

The correct answer is C. A 2-column table with 3 rows. Column 1 is labeled x with entries negative 5, 0, 3. Column 2 is labeled y with entries negative 18, negative 2, 10.

Explanation:

The purpose of an equation is to show the equivalence between two mathematical expressions. This implies in the equation "–2 + 4x = y" the value of y should always be the same that -2 + 4x. Additionally, if a table is created with different values of x and y the equivalence should always be true. This occurs only in the third option.

x y

5 -18

0 -2

3 10

First row:

-2 + 4 (5) = y (5 is the value of x which is first multyply by 4)

-2 + 20 = -18 (value of y in the table)

Second row:

-2 + 4 (0) y

-2 + 0 = -2

Third row:

-2 + 4 (3) = y

-2 + 12 = 10

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2 years ago

Read 2 more answers

The number that is 40% more than five more than a number a.

zepelin [54]

Answer:

Step-by-step explanation:

5×0.4 = 2

2 + 5 = 7

8 0

1 year ago

Suppose you drive 22,000 miles a year and gas averages $3.45 a gallon. What would you save by driving a hybrid that averages 38

BabaBlast [244]

Answer:

$1,616.91

Step-by-step explanation:

Data provided in the question:

Total distance to be driven = 22,000 miles

Average of hybrid = 38 mpg

Thus,

total fuel required by hybrid to travel 22,000 miles = $\frac{22,000}{38}$

= 578.95 gallons

and,

Average of SUV = 21 mpg

total fuel required by SUV to travel 22,000 miles = $\frac{22,000}{21}$

= 1047.62 gallons

Therefore,

savings in fuel = 1047.62 gallons - 578.95 gallons = 468.67 gallons

Thus,

the savings in fuel expenses = Savings in fuel × Cost of gas

= 468.67 × 3.45

= $1,616.91

8 0

1 year ago