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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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The slope of a graph is base on the rise over run of the line connected by the points which composed of an X and Y coordinate. The rise of the line is its Y and the Run is X. Base on the assigning of variables of its x and y value, the slope is calculate by dividing the weeks by its test so the answer is 3 over 4 or 0.75
4 0
2 years ago
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A lightbulb is installed. With probability 1/3 , it burns out immediately when it is first installed. With probability 2/3 , it
Andrej [43]

Answer:

1 time unit

Step-by-step explanation:

There is a 1 in 3 chance that the time until the bulb burns out is zero, and a 2 in 3 chance that the time is the average between 0 and 3 (since it is uniformly distributed). Therefore, the expected value for the time until it burns is:

E(x) = \frac{1}{3}*0+\frac{2}{3} *\frac{0+3}{2}\\ E(X) = 1

The expected value of the time until the lightbulb burns out is 1 time unit.

3 0
2 years ago
Caleb made the table below to show the number of hours he works and the amounts he earns over a four-week period. Caleb’s Earnin
Ganezh [65]
<h2>Answer:</h2>

The ratios of earnings to hours are not the same each week, so the earnings do not vary directly with the hours.

<h2>Step-by-step explanation:</h2>

We know that the data points given by (x,y) are in direct variation if:

\dfrac{y}{x}=k  for each (x,y)

We are given data as:

Caleb’s Earnings Hours(x)        12          15         18         21

Earnings (in dollars)(y)              140        170      200     230

So, we could see the ratio as:

  • \dfrac{140}{12}=\dfrac{35}{3}
  • \dfrac{170}{15}=\dfrac{34}{3}
  • \dfrac{200}{18}=\dfrac{100}{9}
  • \dfrac{230}{21}

Hence, we could see that each ratio are not equal.

Hence, the relationship between the earnings and the number of hours does not represents a direct variation.

6 0
2 years ago
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Ben and Landon took turns driving on their recent 820 mile road trip. Ben averaged 60 miles per hour while landon averaged 56 mi
Furkat [3]

Landon drove for 5 hours.

<u>Step-by-step explanation</u>:

Given that,

Total distance of the road trip = 820 miles

Speed of Ben = 60 miles per hour

Speed of Landon = 56 miles per hour

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

Let 'x' be the number of miles Ben drove

Let 'y' be the number of miles Landon drove

<u><em>Step 2</em></u><em> :</em>

The trip took them 14 hours to complete 820 miles together.

x + y = 14

60x + 56y = 820

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

Solve the linear system x+ y= 14 and 60x+ 56y= 820

x + y = 14

x = 14 - y

<u><em>Step 4 </em></u><em>:</em>

Substitute x= 14-y in the second equation,

60(14-y) + 56y = 820

840 - 60y + 56y = 820

<u><em>Step 5</em></u><em> :</em>

Keeping y terms on one side and constants on other side,

60y - 56y = 840 - 820

4y = 20

y = 20/4

y = 5

Since 'y' is the number of miles Landon drove, the time Landon drove is 5 hours.

3 0
2 years ago
Jaxson and his children went into a movie theater and he bought $42.50 worth of drinks and candies. Each drink costs $6 and each
sattari [20]

Answer:

6x + 3.25y = 42.50

x + y = 8

Step-by-step explanation:

x is the amount of drinks, and y represents the amount of candies that are bought. The first equation is used to figure out the amount of candies and drinks needed to be bought to add up to 42.50, and the second equation is used to make sure that the quantity of drinks and candies add up to 8.

4 0
2 years ago
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