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Svetradugi [14.3K]
3 years ago
10

Ben fills 42 pints of juice in 12 bottles. Six bottles have a capacity of 3 pints each. The remaining 6 bottles are all of the s

ame capacity. Let b represent the capacity, in pints, of each of the remaining 6 bottles. What is tye capacity of each of the 6 remaining bottles
Mathematics
1 answer:
Nataly [62]3 years ago
5 0

Answer:

The capacity of the remaining bottles = 4 pints.

Step-by-step explanation:

6*3 + 6*b = 42

6b = 42 - 18

6b = 24

b = 4.

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The Banana Touched The Poisonous Apples And You Would Die Too.
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3 years ago
How many solutions are there to this system of equations?
Inessa05 [86]

Answer:

no solution

Step-by-step explanation:

the solution to a system of equations is at the points of intersection of the 2 lines.

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = \frac{1}{4} x - 4 ← is in slope- intercept form

with slope m = \frac{1}{4}

y = \frac{1}{4} x - 1 ← is in slope- intercept form

with slope m = \frac{1}{4}

• Parallel lines have equal slopes

then the 2 lines are parallel and never intersect.

Thus the system of equations has no solution

8 0
2 years ago
HELP ASAP QUESTION IN PHOTO
Pie
The answer is 2(x+4)-5x+2 .
Step by step:
Distribute the 2 through the parentheses--> 2x+8 -5x + 2
Then collect the like terms:
-3x+8+2
Then add 8 and the 2
-3x + 10
7 0
3 years ago
What is 74 multiply by 65?
Nady [450]
That equals 4,810. Make sure to have a placeholder when you multiply
4 0
3 years ago
A rectangular prism has a base area 56 ft.² and a volume of 840 ft.³ the length of the base is longer than the width if the sum
suter [353]

Answer:

The length of the base in feet is 8 ft.

Step-by-step explanation:

The volume V of the rectangular prism is given by

V = l × w × h

But Area, A = l × w

∴ V = A × h

Where A is the base area and h is the height

From the question

A = 56 ft.²  and V = 840 ft.³

∴ 840 ft.³ = 56 ft.² × h

840 ft.³ / 56 ft.² = h

15 ft. = h

∴ h = 15 ft.

Hence, the height of the rectangular prism is 15 ft.

Also, from the question

the sum of the length and the width of the base is equal to the height

i.e l + w = h

where l is the length of the base and w is the width of the base

Then, l + w = 15 ------ (1)

Also, A = l × w

Then, 56 = l × w ------- (2)

From equation (1)

l + w = 15

Then, w = 15 - l ------- (3)

Substitute this into equation (2)

56 = l × w

56 = l × (15-l)

56 = 15l - l²

Then,

l²- 15l + 56 = 0

l² -8l -7l + 56 = 0

l(l - 8) -7(l - 8) = 0

(l - 7)(l - 8) = 0

l - 7 = 0 OR l - 8 = 0

∴ l = 7 OR l = 8

Substitute the values of l into equation (3)

w = 15 - l

when l = 7

w = 15 - 7

w = 8

and when l = 8

w = 15 - 8

w = 7

From the question, the length of the base is longer than the width

∴ l = 8 and w = 7

Hence, the length of the base in feet is 8 ft.

6 0
3 years ago
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