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3 years ago

10

alan jogged 3^2 miles to school and then 2^2 after school each day for 5 days.Jennifer jogged a total of 45 miles .who jogged th

e most and by how much

1 answer:

miv72 [106K]3 years ago

5 0

Jennifer because she jogged 45 and Alan only jogged 28

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a person Can travel 120 miles in one direction. the return trip was accomplished at double the speed and took three hours less t

BaLLatris [955]

40 mph would be 120 miles in 3 hours (120/40)

80 mph is 120 miles in 1.5 hours(120/80)

3 - 1.5 = 1.5, not 3 hrs

Change the speed to 20 mph( 1/2 the speed) to double the hours.

20 mph = 6 hours(120/20)

40 mph = 3 hrs(120/40)

6 - 3 = 3 hours difference

6 0

4 years ago

There are 12 cookies in a container. There are 12 containers packed in a box for shipping. There are 12 boxes loaded onto a ship

mamaluj [8]

Option A

Total number of cookies on a shipping truck when 12 boxes are loaded is 1728.

<u>Solution:</u>

Need to determine correct option of total number of cookies on the truck

From given information

Number of cookies in 1 container = 12

Number of container in 1 box = 12

So number of cookies in 1 box = number of cookies in 12 container

$\Rightarrow \text { Number of cookies in } 1 \text { box }=\text { number of cookies in } 1 \text { container } \times 12$

$=12 \times 12=144$

Number of boxes loaded onto 1 shipping truck = 12

So Number of cookies onto 1 shipping truck = number of cookies in 12 boxes

$\Rightarrow \text { Number of cookies onto } 1 \text { shipping truck }=\text { number of cookies in } 1 \text { box } \times 12$

$=144 \times 12=1728$

Hence total number of cookies on a shipping truch when 12 boxes are loaded is 1728. Thus option A is correct

8 0

3 years ago

The length of a rectangular garden is 7 feet longer than its width. if the garden's perimeter is 182 feet, what is the area of t

aivan3 [116]

182 - 14=168
168/2
=84
84+7=91
91x84 = 7644 square feet

4 0

4 years ago

Read 2 more answers

Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y = 7x6, y

IgorC [24]

Answer:

The volume is $\frac{490\pi}{39}$ cubic units.

Step-by-step explanation:

The given curve is

$y=7x^6$

The given line is

$y=7x$

Equate both the functions to find the intersection point of both line and curve.

$7x^6=7x$

$7x^6-7x=0$

$7x^6-7x=0$

$7x(x^5-1)=0$

$7x=0\rightarrow x=0$

$x^5-1=0\rightarrow x=1$

According to washer method:

$V=\pi \int_{a}^{b}[f(x)^2-g(x)^2]dx$

Using washer method, where a=0 and b=1, we get

$V=\pi \int_{0}^{1}[(7x)^2-(7x^6)^2]dx$

$V=\pi \int_{0}^{1}[49x^2-49x^{12}]dx$

$V=49\pi \int_{0}^{1}[x^2-x^{12}]dx$

$V=49\pi [\frac{x^3}{3}-\frac{x^{13}}{13}]_0^1$

$V=49\pi [\frac{1^3}{3}-\frac{1^{13}}{13}-(0-0)]$

$V=49\pi [\frac{1}{3}-\frac{1}{13}]$

$V=49\pi (\frac{13-3}{39})$

$V=49\pi (\frac{10}{39})$

$V=\frac{490\pi}{39}$

Therefore the volume is $\frac{490\pi}{39}$ cubic units.

5 0

3 years ago

Donna wants to draw a right triangle. She wants the hypotenuse to be 1.5 inches long and one of the legs to be 1.2 inches long.

Nady [450]

Answer:

0.9 inches

Step-by-step explanation:

The sides of right triangles follow the Pythagorean Theorem:

a² + b² = c²

"a" and "b" are the two shorter sides and "c" is the hypotenuse, the longest side.

Let's plug in what we know.

a² + b² = c²

(1.2)² + b² = (1.5)²

Let's solve the exponents.

1.44 + b² = 2.25

Subtract 1.44 from both sides.

b² = 0.81

Take the square root of both sides.

√b² = √0.81

b = 0.9

The second side will be 0.9 inches.

8 0

3 years ago