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iogann1982 [59]
2 years ago
10

Jenny and Lenny pick 1/4 and 1/3 of a tree full of apples, respectively. Penny picks the rest of the apples.If Lenny picks 7 mor

e apples than Jenny does, how many apples does penny pick
Mathematics
1 answer:
MrRissso [65]2 years ago
6 0

Answer:

Penny picks 35 apples

Step-by-step explanation:

first, you need to multiply the fractions to get equal denominators.

(1/4)*3=3/12 and (1/3)*4=4/12

then add the results,

3/12+4/12=7/12

to work out what fraction was picked by Penny, use 12/12(total amount as a fraction with equal denominator)

12/12-7/12=5/12

then to work out how many apples were picked by Penny(P), Jenny(J), and Lenny(L)

J=3/12, L=4/12, P=5/12.

if Lenny picks 7 more than Jenny, then each twelfth of the apples is 7 apples. therefore,

12*7=84 total apples

Penny picks 5 twelfths, therefore,

5*7=35 apples

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A sphere has a diameter of 14 ft. Which equation finds the volume of the sphere?
aev [14]

Answer:

The volume of the sphere is 1436 in³

The equation is    

V = ⁴⁄₃ * 3.14 * (7ft)³

Step-by-step explanation:

radius = half of diameter

d = 14ft

r = 14ft / 2 = 7ft

To calculate the volume of a sphere we have to use the following formula:

V = volume

r = radius  = 7ft

π = 3.14

V = ⁴⁄₃πr³

we replace with the known values

V = ⁴⁄₃ * 3.14 * (7ft)³

V = 4.187 * 343 in³

V = 1436 in³

The volume of the sphere is 1436 in³

6 0
2 years ago
A tire manufacturer has a 60,000 mile warranty for tread life. The company wants to make sure the average tire lasts longer than
aleksandrvk [35]

Answer:

The alternative hypothesis being tested in this example is that the tire life is of more than 60,000 miles, that is:

H_1: \mu > 60,000

Step-by-step explanation:

A tire manufacturer has a 60,000 mile warranty for tread life. The company wants to make sure the average tire lasts longer than 60,000 miles.

At the null hypothesis, we test if the tire life is of at most 60,000 miles, that is:

H_0: \mu \leq 60,000

At the alternative hypothesis, we test if the tire life is of more than 60,000 miles, that is:

H_1: \mu > 60,000

4 0
2 years ago
A referendum failed by a vote of 36 No's and 24 Yes's. To make a pie chart of this result, what is the lesser measure in degrees
Daniel [21]
From the given number of people who voted Yes and No to the referendum, there are 60 people all in all. The fewer of which is 24 which voted as Yes. If we are to construct a pie chart and calculate the measure of the smaller angle, we take the ratio of 24 and 60 and multiply it to 360. 
      
                       measure of angle ACB = (24/60)(360)
                         measure of angle ACB = 144°

Thus, the angle measure 144°. 
3 0
2 years ago
The slope of the line below is -5/7 Write the point-slope equation of the line using the coordinates of the labeled point.
Vesna [10]

Answer:

The answer is C) y - 2 = -5/7(x - 6)

Step-by-step explanation:

Since we have the slope (-5/7) and a point (6, 2), we can just input those in for m and (x1, y1) in point-slope form.

y - y1 = m(x - x1)

y - 2 = -5/7(x - 6)

4 0
2 years ago
Read 2 more answers
20 POINTS
TiliK225 [7]

Answer:

Step-by-step explanation:

There are <u>6</u><u> different shapes</u>

You want the outcome to be a Nonagon

You put the outcome as a ratio 1/6

1/6=0.1666667

0.1666667*100=16.6667%

<u>Chance of pulling out a </u><u>nonagon</u>

3 0
2 years ago
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