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Rashid [163]
2 years ago
6

David need 36 gallons of punch for a party and has two different cooler to carry I in the bigger cooler is 5 times as large as t

he smaller cooler how many gallons can each hold?
Mathematics
2 answers:
Harman [31]2 years ago
5 0
David needs 36 gallons.
So, 36/z (for now) the bigger cooler is 5x. However, I don’t know what x is. So, the problem can’t really be solved. I’m sorry.
tatiyna2 years ago
4 0
<h2>Answer:</h2>

Small cooler can hold= 6 gallons

and big cooler can hold= 30 gallons

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

Let the numbers of gallons hold by a small cooler is: x gallons

and the number of gallons hold by a bigger cooler is: 5x gallons.

( Since it was given that:

The bigger cooler is 5 times as large as the smaller cooler  )

Also the total number of gallons of punch for a party is: 36 gallons

Hence, we get:

   x+5x=36

i.e.  6x=36

On dividing both side by 6 we get:

   x=6

Hence, the number of gallons hold by small cooler is: 6 gallons

and number of gallons hold by big cooler is: 5×6=30 gallons

You might be interested in
8 miles is approximately equal to 6 km how many km are equal to 28 miles ? How many miles are equal to 42km
Snowcat [4.5K]

28/8 = 3.5

3.5*6 = 21 km


42/6=7

7*8 = 56 miles

7 0
2 years ago
Solve the system of equations -4+11y=15 x=2y
kondaur [170]
To solve this I will be using substitution

-4 + 11y = 15
solve for y so

-4 + 11y = 15
11y = 19

y = 19/11

x = 2(19/11)

19/11 x 2 = 38/11

x = 38/11

x = 38/11
y = 19/11

I hope this helps!
3 0
2 years ago
Read 2 more answers
A pond had 60 fish. 27 were carp and the rest were tench. 10 fish were added. The probability that a fish picked at random is a
ivanzaharov [21]

Answer: 2

<u>Explanation:</u>

A pond had 60 fish but 10 were added so now the pond has 70 fish.

The probability of choosing a carp is 1/2 so \frac{1}{2} (70) = 35 are now carp.  

There were 27 carp and now there are 35 carp so 8 carp were added.

10 fish were added and 8 of them were carp so 2 of them were tench.

6 0
2 years ago
Which is a characteristic of the line that passes through the points (6, 10) and (12, 7)? The slope is mc015-1.jpg. The slope is
lbvjy [14]
Answer:
slope of the line is -0.5
y-intercept is 13

Explanation:
The general formula of the linear equation is:
y = mx + c 
where m is the slope and c is the y-intercept

1- getting the slope:
We are given the two points:
(6,10) representing (x1 , y1)
(12,7) representing (x2 , y2)
The slope of the line will be calculated as follows:
m = (y2-y1) / (x2-x1) = (7-10) / (12-6) = -3/6 = -0.5
The equation of the line now becomes:
y = -0.5x + c

2- getting the value of the y-intercept:
To get the value of the y-intercept (c), we will use any of the given points, substitute in the equation of the line and solve for c. I will use the point (6,10) as follows:
y = -0.5x + c
10 = -0.5(6) + c
10 = -3 + c
c = 13

Based on the above, the equation of the line would be:
y = -0.5x + 13

Hope this helps :)
8 0
2 years ago
Read 2 more answers
£ represents a group of 30 people that visited paris for a weekend break. 13 of the group visited the eiffel tower (ET) 16 of th
Feliz [49]

Answer: the probability that a selected at random person only visited one of the two places is 0.56 or 56%

Step-by-step explanation:

We have 30 persons.

13 visited the Eiffel Tower

16 visited the No Tre-Dame Cathedral.

7 did not visit either.

for selecting a person at random, the probability that this person only visited one of the two places is equal to the number of persons that visited only one place divided the total amount of persons.

First, calculate the number of persons that visited only one place.

let's take the initial data and sum it all.

13 + 16 = 29 persons that visited at least one place.

7 persons that not visited any of the places.

29 + 7 = 36

But in the group, we have 30 persons, so here we had a  surplus of 6 persons.

This means that 6 persons visited the two places, so we must discard those 6 in both groups,

People that only visited the Eiffel Tower 13 + 6 = 7

People that only visited the Cathedral 16 - 6 = 10

total: 10 + 7 = 17

proportion = 17/30 = 0.56

Then, the probability that a selected a random person only visited one of the two places is 0.56 or 56%

6 0
2 years ago
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