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frosja888 [35]
2 years ago
13

If 4/3 liters of water are enough to water 2/5 of the plants in the house, how much water is necessary to water all the plants i

n the house? Write a multiplication equation and a division equation for the situation, then answer the question.
Mathematics
1 answer:
Mashutka [201]2 years ago
8 0

Answer:

Step-by-step explanation:

4/3 ÷ 2 = 2/3.

2/3 water waters 1/5 plants in the house.

2/3 x 5 = 10/3.

1/5 x 5 = 1.

10/3 = 3 1/3.

3 1/3 liters of water are needed to water all the plants in the house.

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A factory used 99.19 kilograms of tomatoes to make 7 batches of pasta sauce. What quantity of tomatoes did the factory put in ea
____ [38]

Answer:

14.17 kilograms

Step-by-step explanation:

Find what quantity of tomatoes was in each batch by dividing the total amount of tomatoes by the number of batches:

99.19/7

= 14.17

So, the factory put 14.17 kilograms of tomatoes in each batch.

5 0
2 years ago
Barbara drives between Miami, Florida, and West Palm Beach, Florida. She drives 50 mi in clear weather and then encounters a thu
cluponka [151]

Answer:

<em>Her speed driving in nice weather is 50 mph and in thunderstorm is 32 mph.</em>

Step-by-step explanation:

Barbara drives 50 miles in clear weather and then encounters a thunderstorm for the last 16 miles.

Suppose, her speed in nice weather is  x mph.

As she drives 18 mph slower through the thunderstorm than she does in clear weather, so her speed in thunderstorm will be: (x-18) mph

<u>We know that,</u>  Time = \frac{Distance}{Speed}

So, <u>the time of driving in clear weather</u> =\frac{50}{x} hours

and <u>the time of driving in thunderstorm</u> =\frac{16}{x-18} hours.

Given that, <u>the total time for the trip is 1.5 hours</u>. So, the equation will be......

\frac{50}{x}+ \frac{16}{x-18}=1.5 \\ \\ \frac{50x-900+16x}{x(x-18)}=1.5\\ \\ \frac{66x-900}{x(x-18)}=1.5 \\ \\ 1.5x(x-18)=66x-900\\ \\ 1.5x^2-27x=66x-900\\ \\ 1.5x^2-93x+900=0\\ \\ 1.5(x^2 -62x+600)=0\\ \\ x^2 -62x+600=0\\ \\ (x-50)(x-12)=0

Using zero-product property.........

x-50=0\\ x=50\\ \\ and\\ \\ x-12=0\\ x=12

<em>We need to ignore x=12 here, otherwise the speed in thunderstorm will become negative.</em>

So, her speed driving in nice weather is 50 mph and her speed driving in thunderstorm is (50-18) = 32 mph

3 0
3 years ago
53w+13&lt;56w+16 I need help.​
Alborosie

Answer:

w>(-1)

Step-by-step explanation:

Answer on a number line is open circle at -1 all the way to positive 8

7 0
3 years ago
ASAP PLEASE
MatroZZZ [7]

Answer:

I can't really see the whole question, but for a cone the volume formula is πr2h

3

Step-by-step explanation:

8 0
3 years ago
Classify the following statement as an example of classical​ probability, empirical​ probability, or subjective probability. Exp
AlekseyPX

Answer:

It is a case of classical probability.

Step-by-step explanation:

Since we are selecting a number between 1 and 100 randomly which is divisible by 14 the only favorable cases are 14,28,42,56,70,84,98 which are 7 cases out of 100 total numbers thus the required probability becomes

P(E)=\frac{7}{100}=0.07

8 0
2 years ago
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