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Yanka [14]
3 years ago
6

Simplify by dividing [ -3/-8] divided by 5/9 (5 points)

Mathematics
1 answer:
rewona [7]3 years ago
3 0

Answer: D

Step-by-step explanation:

(3/8) / (5/9) is the same as multiplying (3/8) by (9/5) which is 27/40. I'm not sure if there's an error between C and D because those are both the same answer since dividing a negative number by a negative number gives you a positive number.

I think C was supposed to be -27/40 so D is the correct answer since it's positive.

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In a fruit cocktail, for every 20 ml of orange juice you need 45 ml of apple juice and 100 ml of coconut milk. What is the ratio
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the ratio of apple juice to coconut milk to orange juice is:

45:100:20 = 9:20:4

4 0
3 years ago
207,567 to the nearest hundred thousand
Nezavi [6.7K]
The hundred thousands place is the 2. Since the place below that is 0, it rounds down.
200,000
6 0
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Three numbers are in the ratio 6:3:1, and the sum of these numbers is 420. If the first number is reduced by 50%, and the second
Naily [24]
x:y:z\ \ \ \Leftrightarrow\ \ \ 6:3:1\\ \\ \frac{x}{z} =\frac{6}{1}\ \ \ \Rightarrow\ \ \ x=6z\ \ \ \ \ \ \ and\ \ \ \ \ \ \ \frac{y}{z} =\frac{3}{1}\ \ \ \Rightarrow\ \ \ y=3z\\ \\x+y+z=420\ \ \ \Rightarrow\ \ \ 6z+3z+z=420\ \ \ \ \Rightarrow\ \ \ \ 10z=420\ /:10\\ \\z=42\ \ \ \Rightarrow\ \ \ \ x=6\cdot42=252\ \ \ \ and\ \ \ \ y=3\cdot42=126\\ \\ \\a=x-50\%x=50\%x= \frac{1}{2} \cdot252=126=3\cdot42\\ \\b=y+42=126+42=168=4\cdot42\\ \\c=420-126-168=126=3\cdot42\\ \\a:b:c\ \ \ \Leftrightarrow\ \ \ 3:4:3
7 0
3 years ago
Find two consecutive even numbers such that the difference of one-half the larger and two-fifths the smaller is equal to 38
expeople1 [14]
EXPLANATION

The consecutive even numbers are
370 \: and \: 372

EXPLANATION

Let
x
be the first even number then, the next even number will be,

x + 2

The difference of one-half the larger one and two-fifth the smaller one is 38 gives the equation,


\frac{1}{2} (x + 2) -  \frac{2}{5} x = 38


We multiply through with an LCM of 10 to get,



10 \times \frac{1}{2} (x + 2) - 10 \times  \frac{2}{5} x = 38 \times 10


This simplifies to,


5(x + 2) -  4x = 380


We expand the brackets to get,


5x + 10 - 4x = 380

We group like terms to get,


5x - 4x = 380 - 10



This simplifies to
x = 370

Therefore the next even number is is
372
6 0
3 years ago
What is (8x-30)+6x+(2x+10) simplified?
VMariaS [17]

Answer:

16x-20

Step-by-step explanation:

(8x-30)+6x+(2x+10)

8x-30+6x+2x+10

8x+6x+2x-30+10

14x+2x-20

16x-20

3 0
3 years ago
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