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Irina18 [472]
2 years ago
7

A water container has 19.5 litres of water in it. A cup holds 210 ml of water. At most 92 cups can be filled completely from the

water container. Explain why
Mathematics
1 answer:
coldgirl [10]2 years ago
5 0

Step-by-step explanation:

Given

A container has 19.5 liters of water

A cup can hold 210 ml of water

1 L is equivalent to 1000 ml

So, 19.5 L is equivalent to 19.5\times 1000=19,500\ ml

So, the number of requires to hold this much water

\Rightarrow n=\dfrac{19,500}{210}\\\\\Rightarrow n=92.85\ \text{cups}

92.85 implies 92 full cups and 1 cup which is partially filled. Hence, almost 92 cups can be filled completely.

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Bob is on his way home in his car. His drive is 16 miles long. He has finished one-fourth of the drive so far. How far has he dr
Georgia [21]

Answer:

He has driven 16 miles so far

Step-by-step explanation:

The unknown in your equation is the total length of Trey's drive, which we will call "x".

From the problem statement, you know that 12 is three-fourths of x so set up the following equation and solve for "x":

3/4(x) = 12

multiply both sides of the equation by 4/3 to isolate "x":

(4/3)(3/4)(x) = (12)(4/3)

therefore

x = (12)(4)/(3) = 16

7 0
2 years ago
What is the probability that the second sock is black?
coldgirl [10]
I think it would be 5/8
5 0
3 years ago
Read 2 more answers
108 - 271 + 215-_____= -103
kupik [55]
108-271+215-_____=-103
Im going to combine the first thee numbers and replace the blank with a variable, lets use x. 
52 - x=-103
now I am going to subtract 52 on both sides to get the variable alone
-x=-155
Im going to multiply both sides to eliminate the negitive in the variable
x=155
If you want to check just plug 155 into the blank
108-271+215-155=-103
-163+215-155=-103
52-155=-103
-103=-103

so after checking work the blank is equal to 155.


5 0
3 years ago
How many real-number solutions does the equation have?
Nataly_w [17]

Answer:

Option b. Two solutions

Step-by-step explanation:

In order to find how many real number solutions the equation has we have to solve it

Given equation: -4x² + 10x + 6 = 0

taking 2 common from the equation

2(-2x² + 5x + 3) = 0

-2x² + 5x + 3 = 0

taking minus sign common from the above equation

2x² - 5x - 3 = 0

We will solve this equation by factorization in such a way that the sum of two factors is equal to -5x and the product is -6x²

2x² - 6x + x - 3 = 0

taking common above

2x(x-3) + 1(x-3) = 0

taking (x-3) common

(2x+1)(x-3) = 0

2x + 1 = 0

2x = -1

x = \frac{-1}{2}

x - 3 = 0; x = 3

the solutions are

x=\frac{-1}{2},3

Both values are real numbers, therefore correct option is b

7 0
3 years ago
Read 2 more answers
In triangle abc, AC=15 BC=11 and m
Oksana_A [137]

Answer: 10

Step-by-step explanation:

In a right angle triangle

Hypothenus ^2= opposite ^2+ adjacent ^2

According to a diagram below

Hypothenus =15

Opposite =?

Adjacent =11

Substitute for the values

15^2=11^2+opp^2

Opp^2=15^2-11^2

0pp^2= 225-121

Opp2=104

Opp= square root of 104

Opp= 10.2

Opp= ~10

3 0
3 years ago
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