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3 years ago

90 students take a test.

Mathematics

1 answer:

Anika [276]3 years ago

5 0

Answer:

Step-by-step explanation:

If there are 90 students and the ratio of boys to girls is 3:2, that means 3x+2x=90

Combine like terms: 5x=90

x=18

2x (girls)=36

3x (boys)=54

1/3 of the boys scored full marks, so 54/3=18 boys scored full marks

The number of girls who scored full marks is half of the number who did not score full marks means that 1/3 of the girls scored full marks. 36/3=12, so 12 girls scored full marks.

(I don't know what the question is sorry if it's incorrect but there's not enough information)

Hope this helps!

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James is researching earthquakes for a science

Drupady [299]

Creo es el la respuesta D

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3 years ago

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What is the measure of the angle formed by the minute hand and the hour hand of a clock when the clock shows 4:35? A. 72.5° B. 9

Kruka [31]

A) Minute Hand:
in 1 hour (= 60 minute) the minute hand travels 360 °
So in each minute, the minute hand travels 360/60 = 6°
And in x minute it will travel x.(6°)

B) Hour Hand:
in 1 hour (= 60 minute) the hour hand travels 360/12 = 30°
So in each minute, the hour hand will travel 30°/60° = 0.5°
And in x minute it will travel x.(0.5°)

ANGLE AT 4:35?

At 4:00, angle = 4. 30 = 120°
After 35 minutes, the minute hand strops at 35.(6°) = 210°, but during this 35 minute, the hour hand traveled 35.(0.5) = 17.5°, on top of its 120°, that makes an angle of 137.5°

So at 4:35 the angle between the hour & minute hand = 210°-137.5° =72.5°

Answer A

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3 years ago

Can someone help me with this? its solving systems by substitution

yKpoI14uk [10]

Answer: x = 1 and y = 2

Given:
y = -3x + 5
5x - 4y = -3

Since we are given y, let’s sub it in the second equation.

5x - 4(-3x + 5) = -3
5x + 12x - 20 = -3
17x = 17
x = 1

After finding x, we can now find y.

5(1) - 4y = -3
-4y = -8
y = 2

Checking:

y = -3x + 5
2 = -3(1) + 5
2 = 2

5x - 4y = -3
5(1) - 4(2) = -3
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3 years ago

Molly opened a bank account. She deposited $86.50 into her account every month for 20 months. She used $24.50 every month to pay

anastassius [24]

She spent $310 on the singing camp.

MY WORK:

I multiplied $86.50*20 because $86.50 is the amount she deposited for 20 months. $86.50*20=$1740.00

Then I multiplied $24.50*20 because she spent $24.50 for 20 months. $24.50*20= $490.00

Then I subtracted $1740.00-$490.00 because she spent $490 out of her bank account. $1740.00-$490.00=$1240.00

Finally, because its 1/4 of her money, I divided $1240.00 by 4. $1240 divided by 4= $310

Hope this helps!!

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3 years ago

Casper has some whipping cream that is 18%, percent butterfat, and some milk that is %4, percent butterfat. He wants to make a 5

steposvetlana [31]

L represent Option A. The correct answer is that the mixture has the intended volume and has more than the intended percent of butterfat.

<h3>What is the graph about?</h3>

Note that:

The graph shows that the point L is one that is below the blue line of the graph.

Therefore, x + y = 500

Also one need to see that:

0.18x + 0.04y = 500(0.12)

Since that cream is 18% butterfat, milk is 4% butterfat, so L is composed of of 350 ml of cream and 100 ml of milk.

Hence the total amount of butterfat for L is:

0.18 x 350 + 0.04 x 100

= 67ml.

Next, one has to calculate 12% of the volume of L :

12% of 450:

0.12 x 450 = 54ml

So, because 67 is bigger than 54, this implies that the volume of butter fat in L is more than 12 %.