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Zinaida [17]
4 years ago
11

Divide 28 into 2 groups so the ratio is 3 to 4

Mathematics
1 answer:
emmasim [6.3K]4 years ago
8 0

3     4

3     4

3     4

3     4

Left side gets 12.

Right side gets 16.

12+16=28 in total.

When you're thinking of ratios, you have to think of rounds. Let's say I want to distribute apples... In Round 1, I'm going to give myself 1 apple and give you 2 apples. After Round 1, three apples have been distributed in total. Now, if I repeat the same pattern of distribution 1:2, after Round 2 I should have 2 apples whilst you have 4. After Round 2 a total of 6 apples would have been distributed.If the ratio is 3 to 4 - imagine there are 7 groups total, and one person gets 3 of the 7 and the other person gets 4 of the 7.

____________________________________________
If 28 is divided into 7 groups, each group has 4 cans.

One person gets 3 groups = 4*3 = 12 cans
The other gets 4 groups = 4*4* = 16 cans

This way is easier for me to do, but go with whatever works for you :)
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George decides to walk from his home to Tina's house down the street. On the way,
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Answer:

The coordinates of the gas station are (5, 9)

Step-by-step explanation:

As given,

George begins at (2,3), ends at (9,17), and  stops at the gas station at (x,y). If the part to part ratio is 3:4

 A                   P                     B

(2, 3)             (x, y)                (9, 17)

           3         :             4

we use the Interval Division formula :

If P(x,y) lies on the interval A(x1,y1), B(x2,y2) such that AP:PB=a:b, with a and b positive, then

x= \frac{bx1 + ax2}{a + b}

y=\frac{by1 + ay2}{a + b}

Here , (x1, y1) = (2, 3)

          (x2, y2) = (9, 17)

           a : b = 3 : 4

⇒ x= \frac{bx1 + ax2}{a + b} = \frac{4(2) + 3(9)}{3 + 4} = \frac{8 + 27}{7} = \frac{35}{7} = 5

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∴ The coordinates of the gas station are (5, 9)

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4 years ago
Find the discriminant of the following equation.
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D=b²-4ac=4-4*1*8=4-32=-28
<span>B. -28</span>
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