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Stells [14]
3 years ago
9

Dr. Anderson found that 18 out of 30 children in the village tested positive for chicken pox. At this rate, how many would test

negative if there were 70 children in the village as a whole
Mathematics
1 answer:
Artist 52 [7]3 years ago
6 0

Answer:number of children negative for chicken pox=28

Step-by-step explanation:

Number of  children positive for chicken pox =18 out of 30

Therefore number  of children negative for chicken pox is 12 out of 30 ie ( 30-18)

Such that the ratio of positive tested chicken pox children to negative tested chicken pox children =18:12

Therefore  total ratio =18 +12=30

Suppose there are 70 children,then number of children negative for chicken pox =

12/30 x 70  =28

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The function f(x)=70n -400 models the profit of the instructor of a guitar class per month, where n is the number of students en
Ymorist [56]

Answer:

At least 6 students must be enrolled in the class for the instructor to make a profit.

At least 20 students must be enrolled in the class for the instructor to make $1,000 (or more) profit per month.

Step-by-step explanation:

The function f(x)=70n -400 models the profit of the instructor of a guitar class per month.

1. If the instructor makes a profit, then

f(x)>0\\ \\70n-400>0\\ \\7n-40>0\\ \\7n>40\\ \\n>\dfrac{40}{7}\\ \\n>5\dfrac{5}{7}

So, at least 6 students must be enrolled in the class for the instructor to make a profit.

2.  If the instructor needs to make 1,000.00 profit per month, then

f(x)\ge 1,000\\ \\70n-400\ge 1,000\\ \\7n-40\ge 100\\ \\7n\ge 140\\ \\n\ge \dfrac{140}{7}\\ \\n\ge 20

So, at least 20 students must be enrolled in the class for the instructor to make $1,000 (or more) profit per month.

5 0
4 years ago
How to simplify <br> 6x+5y-2x-9x+3y
kicyunya [14]
Take all the variables and put them next to each other but still in order.

Keep their negatives and positives.

6x-2x-9x    5y+3y

Do the math with the variables that way, and you'll get an answer of

-5x    8y

Reform them into the simplified equation, so you'll end up with an equation of

-5x+8y

The x would be before the y since that's how it is in the alphabet. That would be a simplified form of the equation.
7 0
3 years ago
Read 2 more answers
Which expression means "y more than seven"?
mojhsa [17]

Answer:

7+y

Step-by-step explanation:

5 0
3 years ago
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Angle G is a circumscribed angle of circle E. Major arc FD measures 280°.
mixer [17]

Answer:

The answer is 40°

Step-by-step explanation:

Solution

Now,

The Measure of major arc FD = 280°

Thus,

One complete angle measure 360°

Then

m∠FED = 360 - 180

m∠FED = 80°

Thus,

FE = DE ( the same circle Radius)

∠EFD = ∠EDF (  opposite angles to equal sides are equal)

Now

Applying angle sum property of a triangle in ΔEFD

∠EFD + ∠EDF + ∠FED = 180°

∠EFD + ∠EFD + 80 = 180

2∠EFD = 100

∠EFD = 50°

Hence, GF is tangent to the circle and the tangent always make right angles with the radius of the circle.

∠EFG = 90°

∠GFD + ∠EFD = 90°

∠GFD + 50 = 90

∠GFD = 40°

Therefore, The measure of the angle GFD is 40°

8 0
4 years ago
Read 2 more answers
Which of the following expressions is equivalent to the radical expression?
qwelly [4]
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4 0
3 years ago
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