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AfilCa [17]
3 years ago
12

There are 10 red marbles and 20 green marbles in a bag. Colleen says the ratio of red marbles to green marbels is 19 to 20. Frit

z disagrees and says the ratio is 1:2. Which student is correct? Explain your answer
Mathematics
2 answers:
nadezda [96]3 years ago
6 0
Fritz is correct, in that the ratio is 1:2

Think of the ratio as a division

10:20 = 10/20

When you divide 10 with 20, you will get a decimal (or simplified fraction)

10/20 = 0.5

0.5 = 50 percent, or 1:2


Fritz is correct, in that 1:2 is the ratio

hope this helps
Sphinxa [80]3 years ago
6 0
Fritz is correct because the numbers 10 and 20 have a common multiple of 10 and if we divide both 10 and 20 by 10 we get 1 to 2 in that order.

Plus, think about it, 1:2 = 1/2 and 10 is half of 20.
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Find the first four terms of the sequence given by the following.<br> an=51 + (n-1).8, n=1, 2, 3...
pav-90 [236]

Answer:

Step-by-step explanation:

a1 = 51 + (1 -1 ) * 0.8

a1 = 51

a2 = 51 + (2 - 1)*0.8

a2 = 51 + 0.8

a2 = 51.8

a3 = 51 + (3 - 1)*0.8

a3 = 51 + 2*0.8

a3 = 51 + 1.6

a3 = 52.6

a4 = 51 + (4 - 1)*0.8

a4 = 51 + 2.4

a4 = 53.4

5 0
2 years ago
Find the equation of the line with slope = -4 and passing through (9,-29). Write your equation in the form
Vlad [161]

Answer:

y = -4x + 7

Step-by-step explanation:

As we can see, we want to write the equation of the line

we have this as;

y = -4x + b

To get the y-intercept, we use the values in the point given

we substitute x = 9 and y = -29

So we have;

-29 = -4(9) + b

-29 = -36 + b

b = 36-29

b = 7

So the equation is;

y = -4x + 7

8 0
3 years ago
Factor the polynomial completely <br> 24x^2y-6y
Maksim231197 [3]
Divide by greatest common factor.
Answer simplified should be 6y(4x^2-1)
Rewrite in the form where a^2-b^2

Answer
6y(2x+1)(2x-1)
7 0
2 years ago
The electrician arrives at Laura's house to fix her broken furnace. The electrician charges 90 dollars for the first hour and 60
tamaranim1 [39]

Answer:

5 hours

Step-by-step explanation:

Electrician got 90 for the first hour from the total bill, thus we can say:

330 - 90 = 240 remaining for remaining hours

$60 per hour, so $240 for how many hours?? We divide:

240/60 = 4 hours

So, electrician works 4 hours for 60 per hour = 2 * 6 = 240

and 1 hour for 90 (first hour) = 1 * 90 = 90

Total Bill is 240 + 90 = 330 {exactly what we have}

So we have checked and back-worked our problem to get electrician's total hours of work:

1 + 4 = 5 hours

7 0
3 years ago
Find x in the given figures.
marin [14]

Answer:

\large\boxed{X=\sqrt{12}\ in=2\sqrt3\ in}

Step-by-step explanation:

ΔADC and ΔCBD are similar. Therefore the corresponding sides are in proportion:

\dfrac{AD}{CD}=\dfrac{CD}{DB}

We have

AD = 2, CD = X, DB = 6.

Substitute:

\dfrac{2}{X}=\dfrac{X}{6}             <em>cross multiply</em>

X^2=(2)(6)\\\\X^2=12\to X+\sqrt{12}

\sqrt{12}=\sqrt{4\cdot3}=\sqrt4\cdot\sqrt3=2\sqrt3

4 0
3 years ago
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