MATHEMATICS MIDDLE SCHOOL

Hugh made a recipe that yields 8 and 1 over 2 cups. If each serving is 1 over 4 cup, which expression will help Hugh determine the number of servings his recipe will yield?8 and 1 over 2 • 1 over 4
8 and 1 over 2 + 1 over 4
8 and 1 over 2 – 1 over 4
8 and 1 over 2 ÷ 1 over 4
explain this please

Answers

Answer 1
Answer:

Answer:

Its D, 8 and 1 over 2 ÷ 1 over 4

Step-by-step explanation:

→ A recipe yields = 8(1/2) cups.

And,

→ Each serving is = (1/4) cups.

So,

→ The number of servings his recipe will yield = (Total recipe yields) ÷ (Each serving) = 8(1/2) ÷ (1/4) = 8 and 1 over 2 ÷ 1 over 4 (Option D).
Answer 2
Answer:

Answer:

The answer is D.

Step-by-step explanation:

I hope this helps, Have a great day!!!!

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please help! A cheetah travels at a rate of 90 feet per second.The distance d traveled by the cheetah is a function of seconds traveled t. Write a rule for the function.How far will the cheetah travel in 25 seconds?

Answers

Answer:

d = 90 (t) rule for function and travel d = 1250 feet .

Step-by-step explanation:

Given :  A cheetah travels at a rate of 90 feet per second.The distance d traveled by the cheetah is a function of seconds traveled t.

To find : Write a rule for the function.How far will the cheetah travel in 25 seconds.

Solution : Cheetah travel in one second = 90 feet.

Function would be : d = 90 (t).

For t = 25 second then ,

 d = 90 ( 25 ).

d = 2250 feet .

Therefore, d = 90 (t) rule for function and travel d = 2250 feet .

The equation would be d=90t because the input is 25 for t and multiply to get 2250 feet per second.

3/4g = 5/8 what is t

Answers

3/4g = 5/8 

Divide

3/4g/3/4 = 5/8 divided by 3/4

5/8 * 4/3 = 20/24

20/24 = 5/6

Answer: g = 5/6
I think you meant 3/4t = 5/8 you do it like this:
3/4t = 5/8
4/3 multiplied by 3/4t = 5/8 multiplied by 4/3
Now you multiply the fractions and you should get
t = 20/24
But you can simplify it so your final answer should be 

Answer: t = 5/6

Solve each proportion
5/t = t/45

Answers

45t\cdot \frac { 5 }{ t } =\frac { t }{ 45 } \cdot 45t\n \n 225={ t }^( 2 )\n \n t=\pm \sqrt { 225 } \n \n t=\pm 15
t = 15 or -15 because you solve proportions by cross multiplying. if you write it out in the following way:

5       t
__=  __
t       45

Then, cross multiplying involves multiplying the numerator( number at the top) of one of the fractions with the denominator (number at the bottom) of the other, and setting the two results equal to each other. You get t * t = 5 * 45 and end up with t^2 = 225 or t = (15 or -15)

Name four fractions whose
values are between 1/7 and 1/5

Answers

Answer:

21/140, 22/140, 23/140, 24/140

Step-by-step explanation

7 and 5 have a common multiple of 140.

140/7 = 20 , 20/140

140/5 = 28, 28/140

21, 22, 23, 24, 25, 26, and 27 are all numbers between 20 and 28.

Final answer:

Four fractions that fall between 1/7 and 1/5 are 2/14, 3/21, 4/28 and 5/35. These fractions simplify to 1/7 when simplified but can serve as a reference. You could also use fractions like 2/13, 2/12, 2/11, and 2/10, which all fall between 1/7 and 1/5.

Explanation:

To find four fractions whose values are between 1/7 and 1/5, we can increase the denominator while keeping the numerator constant or slightly increase the numerator. Some examples include 2/14, 3/21, 4/28, and 5/35. Let's analyze these:

  1. In fraction 2/14, if we simplify it, we get 1/7. This is not strictly between 1/7 and 1/5 but is a good starting point.
  2. In fraction 3/21, if we simplify it, we get 1/7. This is not strictly between 1/7 and 1/5 but it's a good reference.
  3. Next, we have 4/28 which simplifies to 1/7. Again, it's not strictly between, but it's a good reference.
  4. Finally, we have 5/35. This simplifies to 1/7, it's not strictly between, but it's a good reference.

Please note that you could also find fractions by increasing the numerator slightly, such as 2/13, 2/12, 2/11, and 2/10 where all these fractions will lie between 1/7 and 1/5.

Learn more about Fractions here:

brainly.com/question/33564650

#SPJ11

Convert a rational number to a decimal: 4 divided by 16.24. Can anybody help me?

Answers

4/16.24
= 400/1624
= 0.2463054187

The final answer is 0.246~
0.24630541871
This is in decimal form already!

Janelle invested $13000 into two mutual funds. Fund A earned 6% profit during the first year, well fund B suffered a 3.5% loss. If she received a total of 324$ profit, how much had she invested in each mutual fund?

Answers

Answer:

amount invested in mutual fund B; $4,800

amount invested in mutual fund A; $8,200

Step-by-step explanation:

Let the amount invested in mutual fund B be x. Then the amount invested in fund A would be;

(13000-x)

The loss emanating from fund B would be;

3.5% of x

=(3.5/100)*x

=0.035x

The profit resulting from investment in fund A would be;

6% of (13000-x)

= (6/100)*(13000-x)

=0.06(13000-x)

=780-0.06x

The total profit earned from funds A and B in terms of x will be;

780 - 0.06x + (-0.035x)

=780 - 0.095x

The total profit earned was 324, thus;

780 - 0.095x = 324

solving for x;

780 - 324 = 0.095x

456 = 0.095x

x = 4800

Then the amount invested in fund A would be;

13000 - 4800 = 8200
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