18. A juice recipe calls for 3 1/2 cups
of sugar and will serve 60 people.
How much sugar would you need
if you reduced the recipe to serve
only 48 people?
A 4 2/3c B 3 1/2c C 2 4/5 c D 2 1/2c

Answers

Answer 1

Answer:

C. 2 [tex]\frac{4}{5}[/tex] cups

Step-by-step explanation:

We want 3.5 (3 1/2) cups of sugar that serves 60 people to serve 48 people instead. So we use proportions. Set it up:

[tex]\frac{x}{3.5} = \frac{48}{60}[/tex]

60x = 168 (48 x 3.5)

/60     /60

x = 2.8 cups of sugar serves 48 people.

Change 2.8 into fractions: 2 [tex]\frac{4}{5}[/tex]


Related Questions

In this linear equation what is the dependent variable y=2x+4

Answers

Answer: y

Step-by-step explanation:

The value of y is dependent on the x value. The x value can be anything you choose and is therefore independent of y.

Directions:
1. Determine which type of angles are shown.
2. Then find the measure of the missing angles.

Answers

1. obtuse angle is shown, 45° is missing.
2. obtuse angle is shown, 29° is missing.
3. acute angle is shown, 65° is missing.
4. acute angle is shown, 40° is missing.
5. acute angle is shown, 42° is missing.
6. acute angle is shown, 100° is missing.
7 an obtuse angle and a acute angle are shown, 54° (for number 1) and 126° (for number 2) are missing.
8. an obtuse and a acute angle are shown, 45° (for 1) and 135° (for 2) are missing.

A cake pan has an 8-inch diameter. To the nearest square inch, what is the area of the bottom of the pan?







a
13 in2

b
25 in2

c
50 in2

d
200 in2

Answers

Answer:

50 square inches

Step-by-step explanation:

The pan radius is 4", and so the approximate area of the pan bottom is

A = pi(4 ")^2, or 16 pi, or 50 square inches.

Th GCF of two numbers is 3 and the LCM is 180. If one of the other number is 45, what is the other numbers?

Answers

Answer:

x = 12

Step-by-step explanation:

Given that,

GCF of HCF of two numbers = 3

LCM of numbers = 180

First number = 45

Let another number be x.

So,

HCF×LCM = first number × second number

[tex]x=\dfrac{3\times 180}{45}\\\\x=12[/tex]

So, the other number is 12.

480/X - 8 - 480/x = 3

Answers

Answer:

i don't know its ans thank you

Answer:

x є ø

Step-by-step explanation:

480/X - 8 - 480/x = 3, x є ø

-8=3 (+480/x -480/x cancels because +smth -the same number)

Name the property of addition modeled here. If a = b, then a + c = b + c. A. Addition Property of Equality B. Commutative Property of Addition C. Associative Property of Addition D. None of the above I think it is either B or C

Answers

Answer: I'm pretty sure it's B

Step-by-step explanation:

Answer:

Do you still need an answer? If so, B!

Step-by-step explanation:

Just by looking at the equation you can see the addition symbols. Since there are also letters, you can use that information to help you solve the answer using the key word: Commutative.

For Example: If Lily needs $40 and she already has $30 how many more dollars does she need?

Answer: m-$30=$40 m=$10

A brand of uncooked spaghetti comes in a box that is a rectangular prism with a length of 9 inches a width of 3 inches and a height of 3 1/2

Answers

Answer:

94.5

Step-by-step explanation:

3x3.5x9=94.5

Hope this helps :)

Also please mark as branliest

Solve for distributive property
-10( x + 9 )

Answers

Answer: -10x - 90

Step-by-step explanation:

Answer:

the third one

Step-by-step explanation:

-10( x + 9 )

-10x - 90

(3x + 4) + (5x - 6) add or subtract horizontally

Answers

Answer:

[tex](3x+4)(5x−6)\\ 3x+4+5x−6\\\\3x+4+5x−6 \\3x−2+5x\\\\3x−2+5x\\8x−2\\\\8x−2[/tex]

Step-by-step explanation: all the a's are minuses  

The instructions in the kite book state that sin ∠ABC = . Since the two right triangles that make up the kite are congruent, then sin∠CBD = as well. Using the definition of sine, what is AB? Show your work

Answers

Answer:

Exact answer

Step-by-step explanation:

Answer:

Plato

Step-by-step explanation:

sin<ABC= 1/2

AC/AB = 1/2

AC= 60 cm

60/AB= 1/2

AB= 120

Can whoever answers this answer one of the questions on my account I have like 20 minutes to answer them.

Answers

Answer:

What-

Step-by-step explanation:

Answer: What?

Step-by-step explanation:

Suppose that you have $5,000 to invest. Which investment yields the greater return over a 10 year period: 7.74% compounded daily or 7.8% compounded quarterly? Find the total amount of the investment after 10 years if $5,000 is invested at 7.74% compounded daily. $ (Round to the nearest cent as needed.)​

Answers

Answer:

We should invest in 7.74% compounded daily as it yields a higher return.

The total investment after 10 years is $10,841.22.

Step-by-step explanation:

a.) at 7.74% compounded daily

[tex]final = principal(1 + \frac{i}{m} )^{m \times n} \\ = 5000(1 + \frac{0.0774}{365} )^{365 \times 10} \\ = 10 \: 841.2235[/tex]

I assumed there are 365 days in a year.

b.) at 7.8% compounded quarterly

[tex]final = principal(1 + \frac{i}{m}) ^{m \times n} \\ = 5000 (1 + \frac{.078}{4} )^{4 \times 10} \\ = 10 \: 762.2505[/tex]

Help as soon as possible, please.

Answers

Answer:

8 units

Step-by-step explanation:

Let the center of the circle be point O.

Then

EC + EO = 13EC = 13 - EO

The length of EO is the side of triangle OEB.

Use Pythagorean theorem:

EO² + EB² = OB²EO² + 12² = 13²EO² = 169 - 144EO² = 25EO = √25EO = 5

Find the value of  EC:

EC = 13 - 5 = 8

what is the only trigonometry function that can have a fraction greater than one and why

Answers

Answer is 98 because i love cheese

ayudaaa es para hoy ;-;

Answers

múltiplos de 3: 6-9-12-15-18-21-24. etc

múltiplos de 3 que también son de 6:12-18-24.etc

múltiplos de 6: 12-18-24-30-36-42-48-54-. etc

múltiplos de 10:20-30-40-50-60-70-80.etc

múltiplos de 5:10-15-20-25-30-35-40-45-50-55.etc

múltiplos de 5 que tambien son de 10:20-30-40-50. etc

Determine the equation of the line with slope 3 that passes through the point M (1,2) 1) 3x + y = 1 2) 3x - y = -1 3) 3x - y = 1 4) x- 3y = -1

Answers

Answer:

3) 3x - y = 1

Step-by-step explanation:

m=3

(y-2) / (x-1) = 3

y-2 = 3(x-1)

y = 3x - 1

9 hundred = how many 10's

Answers

Answer:

90

Step-by-step explanation:

900 is 90 tens

Check

900/10 = 90

or....

90 * 10 = 900

Hope this helped!

Have a supercalifragilisticexpialidocious day!

Julio has $40.00 to rent bikes for himself and a friend for 5 hours. Each bike
rental costs $3.25 per hour.

Answers

Step-by-step explanation: if its asking  how much money he spends in total you multiply

$3.25 x 5 = 16.25

Answer:

They will spend $16.25 on each bike for 5 hours, $16.25 x 2 = $32.50. They will spend $32.50 and will be left with $7.50.

Step-by-step explanation:

please explain i really don’t understand

Answers

Answer:

22.5°

Step-by-step explanation:

First we need to figure out the size of the interior angles on the inside.

The formula of figuring out the total degrees of all the interior angles of any shape is (n-2)×180°.

N is the number of sides.

If we substitute our number of sides (8) we get this:

(8-2)×180°

6×180° = 1080°

Then we divide 1080 by 8 since this is a regular octagon (all angles are equal in a regular shape).

1080° ÷ 8 = 135°

Focusing on the triangle now, we now know that the angle on the tip of the triangle is 135° as it has not been split by the line.

Using the rule of angles in a triangle add up to 180°. We do this sum:

180° - 135° = 45°

There are 2 angles left in the triangle so we do:

45° ÷ 2 = 22.5°

Therefore the angle of x is 22.5°.

Suppose you invest $10,000 in a mutual fund that earns 6% annual interest. What is the value of your investment 30 years later? Show both the value and evidence of the thinking you used to calculate the value of the investment.

Answers

Answer:

$57400

Step-by-step explanation:

Given data

P= $10,000

R= 6%

T= 30 years

Let us Assume the investment is compounded Anually

A= P(1+r)^t

A=10000(1+0.06)^30

A=10000(1.06)^30

A=10000*5.74

A=$57400

Hence the Final Amount after 30 years compounded anually is $57400

x/3=12; Is 4 a possible value for x?

Answers

Answer:

No.

Step-by-step explanation:

4 x 3 is 12. 4 divided by 3 cannot be 12.

Hope it helps!

Answer:

No

Step-by-step explanation:

Not possible

Select all expressions that are equivalent to 16x − 12 − 24x + 4 by showing your work & explain your reasoning. 1)40x - 16 2)4 - 12 - 4x + (- 4x) 3) 8x - 8 4)-8 (r + 1)

Answers

Answer:

4 - 12 - 4x + (- 4x)

-8 (x + 1)

Step-by-step explanation:

16x - 12 - 24x + 4

16x - 24x - 12 + 4

-8x - 8

1)40x - 16 = not equivalent

2)4 - 12 - 4x + (- 4x)

4 - 12 - 4x - 4x

-8 - 8x = - 8x - 8 (equivalent)

3) 8x - 8 (not equivalent)

4)-8 (x + 1) = - 8x - 8 (equivalent)

1. E = -20,000p + 90,000
R = -2,170p2 + 87,000p

Answers

The equations of E and R are illustrations of cost and revenue functions

The equation of the break even point is -20,000p + 90,000 = -2,170p^2 + 87,000p

How to determine the break even point

The cost and the revenue functions are given as:

E = -20,000p + 90,000

R = -2,170p^2 + 87,000p

At the break even point, we have:

E = R

Substitute known values

-20,000p + 90,000 = -2,170p^2 + 87,000p

Hence, the equation of the break even point is -20,000p + 90,000 = -2,170p^2 + 87,000p

Read more about break even point at:

https://brainly.com/question/9212451

10 points and king crown extra 5+ points and pplease go to pic and answer it

Answers

Answer:

the answer is 30x+33

I WILL GIVE BRAINIEST
Rhiana has a spinner, which is divided into four equal parts. The parts are numbered 1,2,3,4. If rhiana spins the spinner and tosses a coin, which table shows all possible outcomes?

Answers

Answer:

the last one

Step-by-step explanation:

Answer:

last one

Step-by-step explanation:

Solve 45x - 56 > 9x + 25 where x is a real number

Answers

Answer:

x = >9/7

Step-by-step explanation:

Emir flew home from vacation with a heavy bag. With the first airline he flew, Emir had to pay $20 to check his bag, plus $10 for every pound that his bag was over the weight limit. The next flight was with another airline that had the same weight limit. Emir had to pay $5 per pound that his bag was over the weight limit, in addition to the checked bag fee of $30. By coincidence, the fees ended up being the same with both airlines. How large was each airline's fee?

Answers

Answer:

$27.5

Step-by-step explanation:

Let

x = pound over weight limit

Airline 1 = 20 + 10x

Airline 2 = 5 + 30x

Equate the fees

20 + 10x = 5 + 30x

20 - 5 = 30x - 10x

15 = 20x

x = 15/20

x = 0.75 pounds

How large was each airline's fee?

Airline 1 = 20 + 10x

= 20 + 10(0.75)

= 20 + 7.5

= $27.5

Airline 2 = 5 + 30x

= 5 + 30(0.75)

= 5 + 22.5

= $27.5

Maths question, will mark Brainliest! Find the area of a circle with a radius of 4.

Answers

Answer:

8[tex]\pi[/tex]

Step-by-step explanation:

area=[tex]\pi[/tex][tex]r^{2}[/tex]

[tex]\pi[/tex][tex]4^{2}[/tex]

16[tex]\pi[/tex]

since it is a semicircle, cut that number in half.

Answer:

25.12units squared

Step-by-step explanation:

A = [tex]\frac{\pi r^2}{2}[/tex] or [tex]\frac{3.14r^2}{2}[/tex]

r = 4

3.14 x 4^2 = 50.24

50.24/2 = 25.12

Problem 4: As a salesman you are paid $250 per week plus $70 per sale. This week you want you
pay to be at least $1,200. How many sales must you make to reach your goal?
Answer
12
13
14
15
16

Answers

Answer:

14 sales

Step-by-step explanation:

1,200-250=950

70×14=970

We first need to subtract our normal pay out of the expectation.

1200-250=950 dollars

These 950 dollars have to be made from sales, and if each sale gives you 70 dollars, we just need to do simple division.

950/70=about 13.57

This meant that if we get 13 sales, we are not quite there at the goal yet, so we need to round up. Getting 14 as our answer.

what is 1.22+0.34 pls guys ​

Answers

Step-by-step explanation:

1.22+0.34

= 1.56

Hope it will help :)

Answer:

= 1.56

Step-by-step explanation:

1.22 + 0.34 = ?

00.2 + 0.04 = 0.06

0.2 + 0.3 = 0.5

1 + 0 = 1

1 + 0.5 + 0.06 = 1.56

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