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kramer
3 years ago
8

A glass is 2/3 full. Then 40cm3 of orange juice is poured in. The glass is now 4/5 full. What is the total volume of the glass?

Mathematics
1 answer:
mafiozo [28]3 years ago
5 0

Answer:

300 cm³

Step-by-step explanation:

Volume of the glass filled with orange juice:

4/5-2/3= 12/15-10/15= 2/15

2/15 of glass = 40 cm³

Total volume of the glass:

40 cm³ ÷ 2/15= 40 cm³ × 15/2= 300 cm³

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A rectangular flower bed covers an area of 11.76 square feet in the garden. The width of the flower bed is 3.5 feet less than it
Degger [83]
The length and width of the garden will be obtain as follows:
let the length be x ft, the width will be (x+3.5)ft
area of the bed will be:
A=length*width
11.76=x(x+3.5)
11.76=x^2+3.5x
thus
x^2+3.5x-11.76=0
solving this by quadratic formula we get:
x=[-b+/-sqrt(b^2-4ac)]/2a
thus plugging in the values we obtain
x=[-3.5+/-sqrt(3.5^2-4(-11.76*1))]/2
x=[-3.5+/-sqrt59.29]/2
x=[-3.5+/-7.7]/2
x=4.2 or -11.2
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8 0
3 years ago
Put these numbers in order from least to greatest 1/8, -0.333, -1/7
Gekata [30.6K]

Answer:

-0.333, -1/7, 1/8

Step-by-step explanation:

1/8 is the greatest because it is a positive number while the other two numbers are negative.

-0.333 or -1/3 is smaller than -1/7.

7 0
1 year ago
Translate the following expression from a numerical expression to a verbal expression: 5(2n + 7) –3
zhuklara [117]

Answer:

Five times the sum of two times a number plus seven all minus three

Step-by-step explanation:

8 0
2 years ago
If m∠EBD= 4x - 8 and m∠EBC= 5x + 20, find the value of x and m∠EBC.
coldgirl [10]

Answer:

-28 = x

Step-by-step explanation

[5x + 20] + [4x - 8] = 180

9x + 12 = 180

- 12 -12

______________

9x = 168

18⅔ = x

m∠EBC = 5[18⅔] + 20 = 113⅓

93⅓

You will get a negative answer if you set them equal to each other, which is not allowed when you are talking about <em>length</em><em>.</em>

I hope this is correct, and as always, I am joyous to assist anyone at any time.

4 0
2 years ago
Write a line in slope-intercept from that goes through the point (2, 5) with a slope of 1/2​
nalin [4]

Answer:

y=1/2x+5

Step-by-step explanation:

The formula is y=mx+b.

m is the slope, and b is the y-intercept.

1/2 is the slope, and 5 is the y-intercept.

y=1/2x+5.

-hope it helps

6 0
2 years ago
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