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4vir4ik [10]
3 years ago
11

Don’t remember how to do this , ?

Mathematics
1 answer:
andriy [413]3 years ago
7 0

28. The ratio of games they won to total games played = 12: 14 = 6: 7.

29. Max's pay rate is 9.50 dollars per hour.

30. The value of n is 9.

Step-by-step explanation:

Step 1; Heather's team won 12 games out of 14. To find the ratio of games won to the total number of games we divide the number of games won to the number of games played.

The ratio of games won to games played = 12: 14, dividing both sides by 2 we simplify the ratio. So the simplified ratio is 6: 7.

Step 2; Max earns $380 for working 40 hours. So to find how much he earns an hour we divide the total money earned in n hours divided by n number of hours.

Money earned per hour = \frac{380}{40} = $9.50. So Max's pay rate per hour is $9.50.

Step 3; The given proportion is

\frac{n}{12} = \frac{18}{24}, to solve this we keep n on the left-hand side while we multiply the 12 on to the other side

n = \frac{18}{24} × 12 = \frac{3}{4} × 12 = \frac{36}{4} = 9.

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Lisa [10]
To find the root, replace y with 0
X^2-12x+35=0
A=1 B=-12 C=35
B^2-4ac=(-12)^2 -4(1)(35)
=144 -140
=4


x=(-b+/- square root of b^2 -4ac) /over/ (2a)
Plug in the numbers
x=-(-12) sqr (-12)^2 4(1)(35) / (2)(1)
X=12 +/-sqr 4 / 2
Positive outcome
x=12 + sqr 4 / 2
x=12+2/2
x=7 <— this one
Negative outcome
x=12-2i/2
x=6-i
Vertex: (6,-1)
8 0
3 years ago
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3 years ago
katie, elizabeth and scott volunteer at a hospital in one week. katie volunteers 3 more hours than elizabeth and scott volunteer
gogolik [260]

Step-by-step explanation:

ALGEBRA 1

Lilly S. asked • 08/16/17

3 girls get volunteer hours.

Katie, Elizabeth, and Siobhan voluenteer at the hospital. In a week, Katie volunteers 3 hours more than Elizabeth does and Siobhan volunteers 1 hour less than Elizabeth. Over 3 weeks, the number of hours Katie volunteers is equal to the sum of Elizabeth's and Siobhan's volunteer hours in 3 weeks.

Follow1

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1 Expert Answer

By:

Best

Andy C. answered • 08/16/17

TUTOR 4.9 (27)

Math/Physics Tutor

SEE TUTORS LIKE THIS

We know nothing about Elizabeth hours, so that is where you assign the variable.

Elizabeth = X

Katie = X+3

Siobhan = X -1

Assuming this holds true over 3 weeks,

3(x+3) = 3X + 3(x-1)

3x + 9 = 3x + 3x - 3

3x + 9 = 6x - 3

0 = 6x - 3 - 3x - 9

0 = 3x - 12

12 = 3x

x=4

in one week:

Elizabeth volunteers 4 hours

Katie volunteers 7 hours

Siobhan volunteers 3 hours

over three weeks:

Elizabeth volunteers 12 hours

Katie volunteers 21 hours

Siobhan voluteers 9 hours

21 = 12 + 9, so yes it checks.

3 0
2 years ago
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