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Taya2010 [7]
2 years ago
10

18% of the the students at a school are in year 8 and 16% of the students are in year 9. If the school has 126 tera 8 students,

determine the number of year 9 students.​
Mathematics
1 answer:
yarga [219]2 years ago
5 0

Answer:

112

Step-by-step explanation:

The general form of all percentage questions is: the chunk= (some percentage) (of the whole), or c=p*w

We know that 18% of students are 8th grade and that is 126 students, so p = 0.18 and c=126 (126 students are 18% of the whole school)

126 = (0.18)w, divide both sides by 0.18

126/(0.18) = w = 700

9th graders are 16% of the school or 16% of 700 students

c = (0.16) 700 = 112 students

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Samantha drew Triangle JKL with the coordinates (2,3), (4, 3) and (5,2). She reflected this image over the x-axis to create an i
zavuch27 [327]

Answer:

J'(2,-3), K'(4, -3) and L'(5,-2)

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The given triangle has vertices at  J(2,3), K(4, 3) and L(5,2).

The transformation rule for a reflection in the x-axis is:

(x,y)\to (x,-y)

We substitute the points to obtain the coordinates  of the image triangle  J'K'L'

J(2,3)\to J'(2,-3)

K(4,3)\to K'(4,-3)

L(5,2)\to L'(5,-2)

In other words, we negate the y-coordinates of triangle JKL to obtain the coordinates of J'K'L'

See attachment for graph.  

3 0
2 years ago
Which value of x would make LK ∥ OM? x = 2 x = 2.4 x = 4.8 x = 8
goldenfox [79]

Answer:

x=8

Step-by-step explanation:

The figure is shown in the attached figure.

We have, LK║OM. We need to find the value of x.

It is based on side-splitter theorem. If a line is parallel to third side of a triangle, then the points that intersects the two lines, it divides proportionally.

Using it in given problem. So,

\dfrac{\text{NK}}{\text{KM}}=\dfrac{\text{NL}}{\text{LO}}

Nk = x+2, KM = x-3, NL = x and LO = x-4

So,

\dfrac{x+2}{x-3}=\dfrac{x}{x-4}

Cross multiplying, we get :

(x+2)(x-4)=x(x-3)\\\\x^2-4x+2x-8=x^2-3x\\\\-2x+3x=8\\\\x=8

So, the value of x is 8.

6 0
2 years ago
A cola-dispensing machine is set to dispense a mean of 2.02 liters into a bottle labeled 2 liters. Actual quantities dispensed v
sammy [17]

Answer:

Step-by-step explanation:

Given that a  cola-dispensing machine is set to dispense a mean of 2.02 liters into a bottle labeled 2 liters.

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5 0
2 years ago
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