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Tasya [4]
3 years ago
13

elise takes 12 minutes to rake up and bag a pile of leaves her sister katherine takes twice as long, how many minutes would it t

ake both of them working together to complete 10 bags of leaves?​
Mathematics
1 answer:
Ymorist [56]3 years ago
8 0

Answer:

80 minutes

Step-by-step explanation:

Rate and Time are inverses of each other

First,

Elise Time = 12

and

Katherine Time = 2 * 12 = 24

Their rates would be (inverses):

Elise Rate = 1/12

Katherine Rate = 1/24

Together their rate is 1/12 + 1/24 = 3/24

Now, the inverse of this rate would be the time it takes to complete 1 bag together, that is:

(3/24) ^ -1 = 24/3 = 8 minutes

So, 10 bags would take them:

8 * 10 = 80 minutes

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Jacob is a construction worker who earns a yearly Income given by the expression 2000x + 6000, where X is the number of
satela [25.4K]

Answer:

Answer:

The manager's prediction is false

Step-by-step explanation:

Given

Jacob: 2000x + 4000

Carlos: 3500x - 40000

Required

Determine if both expression will be the same if x = 35

To do this;

Equate both expressions and then solve for x

i.e.

2000x+4000=3500x-40000

Collect Like Terms

2000x+4000=3500x-40000

-1500x=-44000

Divide both sides by -1500

\frac{-1500}{-1500} = \frac{-44000}{-1500} \\= \frac{-44000}{-1500}\\x= -29.3

Hence, the manager's prediction is not true because x\neq35

7 0
3 years ago
Establish which of the following statements are true. (a) A sequence is convergent if and only if all of its subsequences are co
yawa3891 [41]

Answer:

Statement A - True.

Statement B - False.

Statement C - True.

Statement D - False.

Step-by-step explanation:

(a) A sequence is convergent if and only if all of its subsequences are convergent - this statement is correct.

(b) A sequence is bounded if and only if all of its subsequences are bounded - this statement is incorrect.

(c) A sequence is monotonic if and only if all of its subsequences are monotonic - this statement is correct.

(d) A sequence is divergent if and only if all of its subsequences are divergent - this statement is incorrect.

8 0
3 years ago
sales at a local ice cream shop went up 30% in 5 years. if 18,000 ice cream cones were sold in that current year, find the numbe
Setler79 [48]

Answer:

13,846\ cones

Step-by-step explanation:

Let

x -----> the number of ice cream cones sold 5 years ago

Remember that

100\%+30\%=130\%=130/100=1.3

we know that

Sales 5 years ago, multiplied by the 30% increase should equal 18,000 ice cream cones.

so

The linear equation that represent this problem is

1.30x=18,000

Solve for x

Divide by 1.3 both sides

x=13,846\ cones

6 0
3 years ago
A manufacturing process produces items whose weights are normally distributed. It is known that 22.57% of items produced weigh b
makvit [3.9K]

Answer:

0.418878 I think thats the answer look in the explanation if you need.

Step-by-step explanation:

Compute answer to nearest "whole" number: A manufacturing process produces items whose weights are normally distributed. It is known that 22.57% of items produced weigh between 100 grams and the mean" weight 49.18% weigh between the "mean and 190 grams." Calculate the standard deviation. Do NOT format answer: No $, Commas, %. Question 48 5 pts Compute answer to nearest "whole" number: A manufacturing process produces items whose weights are normally distributed. It is known that 22.57% of items produced weigh between 100 grams and the mean" weight 49.18% weigh between the "mean and 190 grams." Calculate the mean weight. Do NOT format answer: No $. Commas, %.

5 0
3 years ago
Which ordered pair is generated from the equation shown below? y = 2x + 4 A. (1, 6) B. (1, 2) C. (3, 6) D. (8, 16)
IRISSAK [1]

Answer:option A because

Put y=6 and x=1

6=2(1)+4

6=2+4

6=6

Step-by-step explanation:

7 0
4 years ago
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