MATHEMATICS HIGH SCHOOL

On a soccer team, 8 out of 19 players surveyed say they had two or more siblings. The league has 570 players. Which is the best prediction of the number of players in the league that have two or more siblings?A.330

B.240

C.30

D.11

Answers

Answer 1
Answer:


Since we know that 8 out of 19 players have two or more siblings, we can write the ratio as 8/19. Now to use that for the whole team, we will cross multiply:

8/19 and x/570, to find x. so 8*570 = 19x == 4560 = 19x, x = 240.

So (B) 240 players on the team have two or more siblings.

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At lunch, Kira eats either a burrito containing 490 milligrams of sodium or a peanut butter sandwich containing 700 milligrams of sodium. Her doctor told her to reduce her sodium to no more than 4,000 milligrams per week. Which inequality represents x, the number of microwave burritos, and y, the number of peanut butter sandwiches, she can eat each week?490x + 700y < 4000  490x + 700y ≤ 4000  490x + 700y  > 4000  490x + 700y ≥ 4000

The product of two integers is 50. one integer is twice the other. find the integers.

Answers

(1) -5*(-10)=50
(2) 5*10=50
use what they are telling. 

a*b=50 (one integer times the other give you a product of 50. we're randomly calling these integers "a" and "b")

2a=b (one integer is twice the amount of the other. we're randomly selecting "b" to be twice the amount of "a")

plug in what we know 

a*(2a)=50 (we replaced "b" with "2a" because we know from the info they gave us that b=2a)

now solve for "a"

a*2a=50
2a²=50
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in a triangle, the measure of the first angle is twice the measure of the second angle. the measure of the third angle is 92 degrees more than the measure of the second angle. what is the measure of the first angle?

Answers

You need an equation. x is the unknown angle or the second angle. Keep in mind that interior angles of a triangle add up to 180.

First Angle: 2x
Second Angle: x
Third Angle: x+92

2x + x + x + 92 = 180
4x + 92 = 180
     -92      -92
4x = 88
/4      /4
x = 22

First Angle: 2x = 2(22) = 44
Second Angle: x = 22
Third Angle: x+92

The answer is 44 degrees.

Real numbers that you cannot represent as a quotient of two integers are ? numbers

Answers

Answer: The set of numbers that cannot be represented as the quotient of two integers are the irrational numbers

which are neverending where the numbers after the decimal point don't repeat (there isn't a subsequence of digits that repeats, like in the number 3.33...) , then the irrational numbers of the form 1.31234.... and cannot be represented as the quotient of two integers.
Real numbers that you cannot represent as a quotient of two integers are irrational numbers.

Jana is prescribed 250 mg of medication. Seventy-five percent of the medication remains in her body after each hour, h, according to the equation mc019-1.jpg. Six hours later, Allison is prescribed the same medication. The medication remains in Allison’s body according to the equation mc019-2.jpg. At any time after she has taken the medication, Allison has how many times more milligrams of medication in her body?I'll edit the question in just a minute so the formulas are in it

Answers

Jana was prescribed medication. m = 250(0.75)^h

6 hours after Jana took her medication, Allison was prescribed the same.
m=250(0.75)^(h-6)

At any time after she has taken the medication, Allison has how many times more milligrams of medication in her body?

Same with Jana, Allison's medication content in her body will decrease by 25% after each hour. 

Let h = 6

Jana: m = 250(0.75)^6 = 250(0.178) = 44.50
Allison: m = 250(0.75)^6-6 = 250(1) = 250

250 - 44.50 = 205.50

On hour 6, Allison will have 205.5 mg more of the medicine than Jana.

Jenna got 12,or 3/5, of her answers on the test right. How many questions were on the test?

Answers

20 because you set it up as a proportion. 3/5 12/? multiply 12 and 5 then divide by 3 to get 20

1) Area = 150 in?, width = 10 in
What’s the length =

Answers

Answer:

L = 15 in.

Step-by-step explanation:

area = L * W

150 = L * 10

L = 150 / 10

L = 15 in.
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