A particular frozen yogurt has 75 cal in 2 ounces how many calories are in 8 ounces of the yogurt

Answers

Answer 1
Answer:

Total number of calories in 8 ounce yogurt is 300 calories.

Given that;

Total number of calories in 2 ounce yogurt = 75 calories

Find:

Total number of calories in 8 ounce yogurt

Computation:

Total number of calories in 8 ounce yogurt = 75[8/2]

Total number of calories in 8 ounce yogurt = 75[4]

Total number of calories in 8 ounce yogurt  = 300 calories

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Answer 2
Answer: Just divide 8 by 2 and you'll get 4
Each container is 2 ounces so do 75 times 4 and you'll get 300 calories

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Factorise 3(x+2)^2-10(x+2)+3

Answers

The answer is (x - 1)(3x + 5)


Let's substitute (x + 2) with a:
3(x + 2)² - 10(x + 2) + 3 = 3a² - 10a + 3 =
                                      = 3a² - 9a - a + 3 = 
                                      = 3a * a - 3a *3 - (a - 3) = 
                                      = 3a(a - 3) - (a - 3) =
                                      = (a - 3)(3a - 1)

Now, substitute a with x + 2:
(a - 3)(3a - 1) = (x + 2 - 3)(3(x + 2) - 1) = 
                     = (x - 1)(3x + 6 - 1) =
                     = (x - 1)(3x + 5)

250 + 200h = 300 + 180h250 + 200h = 300 + 180h 
      − 180h           − 180h
250 +  20h = 300
h = credit hours

Answers

250+200h = 300+180h
     -180h            -180h
250+20h = 300
-250         -250
20h = 50
/20     /20
h = 2.5
 

Answer:h=2.5

Step-by-step explanation:

Write the given expression as the sine of an angle
sin40cos20+cos40sin20

Answers

It's sin(40+20)=sin60=\frac{\sqrt3}2

Yo sup??

The given expression is in the form

sinAcosB+cosAsinB

we know that

sin(A+B)=sinAcosB+cosAsinB

therefore

sin40cos20+cos40sin20=sin(40+20)

=sin60

=√3/2

Hope this helps.

Shalah mowed 12 lawns in 3 hours. What is her RATE? *
help me plz

Answers

Answer: I think the answer is 4 because usually when you find the rate of something it means you divided the two numbers or however many numbers you have... So, 12 divided by 3 is 4...  So, 4 hours for each lawn she mows... or something like that... So, 4 lawns per hour...

Final answer is 4 lawns per hour... If this isn't the correct answer i am very sorry... Stay safe and have a great weekend!!! :D

Answer:

4 lawns per hour

Step-by-step explanation:

4 lawns per hour or 1  lawn per 15 mins.

12/3 is the unit rate so 4/1.

Hope this helps plz hit the crown :D

3x+103+9x+61 help me solve quick

Answers

Answer:

12x + 164

Step-by-step explanation:

3x + 103 + 9x + 61

rewrite it

3x + 9x + 103 + 61

add 3x and 9x

12x + 103 + 61

add 103 and 61

12x + 164

Form an equation to help you solve this problem.A school bus is full as it sets off. At the first stop 3 children get off and at the next stop a third
of the remaining children get off, leaving the bus only half full.
How many children were on the bus at the start?

Answers

Answer:

  12

Step-by-step explanation:

If there are x children on the bus at the start, after the first stop, there are (x-3) remaining. After two stops, the number on the bus is ...

  x/2 = x -3 -(1/3)(x -3)

Multiplying by 6, we have ...

  3x = 6x -18 -2(x -3)

  3x = 4x -12 . . . . simplify

  12 = x . . . . . . . . add 12-3x

There were 12 children on the bus at the start.

_____

Check

After 3 got off at the first stop, there were 12-3 = 9 remaining. 1/3 of those, or 9/3=3 got off at the second stop, so 9 -3 = 6 remained. This is half the original number, as required.

Final answer:

Let X represent the number of children on the bus originally. The equation formed is 2/3*(X - 3) = X/2, and when we solve it, we find that X equals 12 which indicates that there were 12 children on the bus at the start.

Explanation:

Let's denote the number of children on the bus at the start as X. After the first stop, the number of children on the bus became X - 3, because 3 children got off. After the second stop, a third of the remaining children got off, so the number of children on the bus became 2/3*(X - 3). According to the problem, after all the stops, the bus was half full. Therefore, we can set up an equation: 2/3*(X - 3) = X/2.

To solve the equation, we can multiply all terms by 6 to clear out the fractions and obtain the equation: 4*(X - 3) = 3X. This simplifies to 4X - 12 = 3X which simplifies further to X = 12, meaning there were initially 12 children on the bus.

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