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Naddik [55]
3 years ago
10

A recipe calls for one cup of juice concentrate for 4 cups of water. How many cups of concentrate are needed if 1 cup of water i

s use? Set up a proportion and show your work
Mathematics
1 answer:
Mekhanik [1.2K]3 years ago
3 0

Answer:

1/4 cups of juice

Step-by-step explanation:

1 cup of juice --- 4 cups of water

x cups of juice --- 1 cup of water

1/x = 4/1

1/x = 4

x = 1/4

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Simon says "five time my age 4 years ago is the same as three time my age in 2 years" how old is simon
omeli [17]

Simon is 13 years old

Let x be Simon's age

Thus 4 years ago his age was (x - 4) and 2 years from now his age is (x + 2)

Hence 5(x - 4) = 3(x + 2)

distributing both sides gives

5x-20 = 3x + 6

subtract 3x from both sides of the equation

5x - 3x - 20 = 6

2x - 20 = 6

add 20 to both sides

2x = 6 + 20 = 26

divide both sides by 2

x = \frac{26}{2} = 13

Simon is 13 years old


7 0
3 years ago
Find the volume of a right circular cone that has a height of 20 ft and a base with a
maksim [4K]
Your answer will be 1733.489333ft³
When rounding it will be
1733.1ft³
My rounding might be wrong
Hope it helps : )
7 0
3 years ago
The sum of two integers is 54 and the difference is 10. Fin the integers
Setler [38]

Answer:x + y = 54

x - y = 10

Add them to get: 2x = 64

x = 32

and plugging in x = 32 to either equation: y = 22

Ans: the numbers are 22 and 32

Step-by-step explanation:

4 0
3 years ago
The perimeter of a rectangle table is 680 cm if the length of the table is 24 cm more than the race the width of the table find
postnew [5]

Answer:

Length is 182 cm and width is 158 cm.

Step-by-step explanation:

Given:

Perimeter of rectangle table = 680 cm.

Let the width of the table be x.

Now according to given length of the table is 24 cm more than the race the width

hence length = 24+x.

But perimeter of rectangle = 2(length+width)

Substituting the values we get;

2(24+x+x)=680\\24+2x=\frac{680}{2}\\\\24+2x=340\\2x=340-24\\2x=316\\\\x= \frac{316}{2}=158 \ cm

Hence width = 158 cm

Now, length = 24 cm + width = 24 cm + 158 cm = 182 cm

Hence the dimension of table are 182 cm and 158 cm.

5 0
3 years ago
Question 5
Mice21 [21]

Answer:

The missing value is 2

Step-by-step explanation:

A direct variation satisfies the equation y=kx.

Since the point (-18, 12) lies on this line, it must satisfy this equation.

\implies 12=-18k

k=-\frac{12}{18} =-\frac{2}{3}

Hence the equation of this line is y=-\frac{2}{3}x

Now we substitute x=-3 to find y.

y=-\frac{2}{3}*-3=2

Therefore the missing value is 2

4 0
3 years ago
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