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hjlf
3 years ago
7

there are 270 at Colfax Middle School, where the ratio of boys to girls is 5:4. there are 180 students at Winthrop Middle School

where the ratio of boys to girls is 4:5. The two schools hold a dance and all students from both schools attend. What fraction of the students at the dance are girls? Make sure to show all work.
Mathematics
1 answer:
ruslelena [56]3 years ago
4 0

Colfax:

Add the ratio numbers together:

5 + 4 = 9

Divide total students by that:

270 / 9 = 30

Multiply each ratio by 30:

Boys = 30 *5 = 150

Girls = 30 * 4 = 120


Do the same for Winthrop:

4 +5 = 9

180 /9 = 20

Boys = 20 * 4 = 80

Girls = 20 * 5 = 100


Total students = 270 + 180 = 450

Total Girls = 120 + 100 = 220


Fraction that are girls = 220 / 450 which reduces to 22/45

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Emily went to the movie theater for her birthday. A mix of adults and children attended, making a total of 22 people. Each adult
viktelen [127]

Answer:

13 children and 9 adults if the total cost is $152.5

Step-by-step explanation:

Let x children and y adults

x + y = 22 (1)

5.5x + 9y = 125.5 (2)

y = 22 - x

5.5x + 9(22 - x) = 125.5

5.5x + 198 - 9x = 125.5

-3.5x = 125.5 - 198

-3.5x = -72.5

x = 20.7

y = 22 - x = 1.3

Which is not possible

If the total cost is $152.5

x + y = 22 (1)

5.5x + 9y = 152.5 (2)

y = 22 - x

5.5x + 9(22 - x) = 152.5

5.5x + 198 - 9x = 152.5

-3.5x = 152.5 - 198

-3.5x = -45.5

x = 13

y = 22 - 13 = 9

3 0
3 years ago
I need help im not sure how to do this
sleet_krkn [62]

Answer:

10

Step-by-step explanation:

x-1 = 0

x = 1

f(x) = 3x⁵+2x⁴+5

f(1) = 3(1)⁵+2(1)⁴+5

= 3+2+5

= 10

I hope this helps

3 0
2 years ago
Robert bough 3/4 pound of grapes and divided them into 6 equal portions.
insens350 [35]

Answer: The answer should be 0.125

Step-by-step explanation:

4 0
2 years ago
Which table of values matches the equation y = 3x - 3?
lawyer [7]
The second table, because -1 x 3 = -3
-3 - 3 = -6 therefore, the second table matches the equation y= 3x -3
7 0
2 years ago
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