Mathematics High School

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

Factor2.x2 + 13x – 7

Answers

Answer:

0.2 ( 65x − 24 ) hope this is correct and helps you

What is r - 8.5 = -2.1 pls help♥️

Answers

Answer:

r=6.4

Step-by-step explanation:

Get r by itself you need to add 8.5 to get 6.4

Hope this helps (:

Answer:

r-8.5=-2.1

r=-2.1+8.5

r=6.4

Step-by-step explanation:

3) Which of the expressions shown below has a value of 1/4?
A) lll only
B)l,ll, and lll only
C)ll only
D)ll and lll only

Answers

Answer:

it is number 3. or III.

Step-by-step explanation:

hope this helps

the answer is D. ll and lll only

Solve for b

-1/3b=9

B=-27
B=-3
B=3
B=27

Answers

Step-by-step explanation:

[tex] - \frac{1}{3} b = 9 \\ b = -9 \times 3 \\ b = - 27[/tex]

Answer:

b=−27

Step-by-step explanation:

took the quiz and got it right

4−2(3+7)=4−2⋅3−2⋅7 is this a true equation?

Answers

Answer: it is a true equation.  

Step-by-step explanation:

random question: (18+6786+(5!))/89.5

Answers

Answer:

77.36312849162011

Step-by-step explanation:

What are rational and irrational numbers and how are radicals related to rational exponents?

Answers

A rational numbers is any number that can be turned into a fraction/ratio. (Ex. 8, 0.75, 1/3). An irrational number is anything that can't be turned into a fraction/ratio. (Ex. Pi, square root of 2). Radicals and rational exponents are related because radicals can be converted into rational exponents.

Answer:

Any number that can be written as a fraction with integers is called a rational number. An irrational number is a number that cannot be expressed as a fraction for any integers. Radicals are related because for irrational numbers they cannot be simplified under the radical and you use a radical on the exponent to cancel it out, hope this helps!

Step-by-step explanation:

Find the height of a cuboid whose volume is 540cu.cm and base area is 90sq.cm

Answers

Answer:

6 cm

Step-by-step explanation:

Vcuboid  = lwh

⇒ h = Vcuboid ÷ lw

∴  h = 540 cm³ ÷ 90 cm²

⇒ h = 6 cm

expand and simplify (x-2)(2x+4)

Answers

Answer:

[tex]2 {x}^{2} - 8[/tex]

hope it's helpful ❤❤❤

THANK YOU.

Answer:

2x² - 8

Step-by-step explanation:

Given

(x - 2)(2x + 4)

Each term in the second factor is multiplied by each term in the first factor, that is

x(2x + 4) - 2(2x + 4) ← distribute both parenthesis

= 2x² + 4x - 4x - 8 ← collect like terms

= 2x² - 8

N a survey, 75% of respondents said that they watch TV for one hour each day. If 30 respondents said they watch TV for one hour each day, how many respondents took the survey in total? A 70

Answers

Answer:

40 respondents

Step-by-step explanation:

Percentage of respondents who watch TV for one hour each day = 75%

Number of respondents who watch TV for one hour each day = 30

Let [tex]x[/tex] denotes total of respondents who watch TV for one hour each day.

Therefore,

[tex]\frac{75}{100}x=30\\\\x=\frac{100}{75}(30)=40[/tex]

A volleyball camp charges $150 per camper for 10 campers. When a team brings 15 campers, the rate is reduced to $125 per camper.
What is the rate of change in cost per camper?

Answers

Answer:

the answer is eight dollars and thirty four cents $8.34

Charles is planning a trip to Guatemala. He has allocated $415 for spending money. If the exchange rate from US
dollars to Guatemalan quetzals is 1:8.5135. how much money does Charles have, as measured in quetzals? Round
your answer to two decimal places.
3,533.10 quetzals
b. 2,131.02 quetzals
768.31 quetzals
d. 48.75 quetzals

Answers

Answer:

A

Step-by-step explanation:

Charles have 3533.10 quetzals.

What is unit conversion?

It is the conversion of one unit to another unit with its standard conversion.

Examples:

1 hour = 60 minutes

1 minute = 60 seconds

1 km = 1000 m

We have,

Charles allocated amount for spending = $415.

The exchange rate from US dollars to Guatemalan quetzals.

= 1 : 8.5135

This means,

$1 = 8.5135 quetzals

Now,

$1 = 8.5135 quetzals

Multiplying 415 on both sides.

$415 = 415 x 8.5135

$415 = 3533.1025 quetzals

Rounding to two decimal places.

$415 = 3533.10 quetzals.

Thus,

Charles has 3533.10 quetzals.

Learn more about unit conversion here:

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if you need 3 meatballs in every roll to make a meatball sandwhich ans you have 72 rolls ans 240 meatballs how many sandwiches can you make science spot

Answers

Answer:

72

Step-by-step explanation:

With 240 meatballs, you could make 80 sandwiches but you only have 72 rolls so that is the most amount you can make.

Answer: 24

Step-by-step explanation:

72x3=216 -240 = 24?

i really need helpppp

Answers

Answer:

6

Step-by-step explanation:

30 ÷ 5 =6

hope it helped:))))

Answer:

z = 6

Step-by-step explanation:

5 x 6 = 30 - 17 = 13

Madison went shopping for a new pair of sneakers. Sales tax where she lives is 3.5%. The price of the pair of sneakers is $34. Find the total price including tax. Round to the nearest cent.

Answers

Answer:

35.19

Step-by-step explanation:

A type of fish for your aquarium costs $9 each. You can spend at most $45. How many
of these fish can you buy? Write an inequality to model the problem. Then solve the
inequality to find the number of fish.

Answers

U can buy 5 fish hope it’s right
PLEASE MARK ME BRAINLEST

A factory uses 15 pounds of steel for every 18 pounds of copper. How much copper will the factory use for 2,700 pounds of steel?

Answers

Answer:

3240 pounds of copper would be used

Step-by-step explanation:

[tex]\frac{18}{15}=\frac{x}{2700} \\(2700)*(\frac{18}{15})=x\\3240lbs=x[/tex]

A drink is mixed in the ratio lemonade : orange : cranberry = 6 : 3 : 2 What fraction is orange?

Answers

Answer:

3/11

Step-by-step explanation:

If we add all the numbers together we get 11.

6 + 3 + 2 = 11

Therefore there are 11 parts altogether in the drink.

Orange is 3 parts out of all, so that means it is 3/11 in fraction-form.

What is the slope of (0,-1) and (5,-5)

Answers

-4/5 it’s the correct answer
(-4,5) is the slope.

pls answer 5a b and c for brianlist

Answers

5.a) Steve - 60=5×12

= 5×3×2×2

5.b) Ian - 60=6×10

= 3×2×5×2.

Discussion - The prime factors reduce to the same numbers in both Steve's and Ian's case.

5.c) Case 1 of 48 = 6×8

= 3×2×2×2×2.

Case 2 of 48 = 12×4

= 2×2×3×2×2.

plz help me will give brainliest

Answers

Answer:

10

Step-by-step explanation:

Un tren transporta 268 pasajeros en cada viaje.Si realiza 8 viejes diarios, 5 dias a la semana, ¿cuantas personas podria transportar en tota?

Answers

308 personas por qué

268+8×5=308

The Cinemania theater showed 108 different movies last year. Of those, 15 movies were action movies

Answers

Answer:

The probability that the next will be an action movie [tex]13.89[/tex] %

Step-by-step explanation:

The complete question is

The Cinemania theater showed 108 different movies last year. Of those, 15 movies were action movies. Based on this data, what is a reasonable estimate of the probability that the next movie is an action movie?

Solution

Total number of movies shown last year [tex]= 108[/tex]

Total number of action movies out of these [tex]108[/tex] movies [tex]= 15[/tex]

The probability that the next will be an action movie

[tex]= \frac{15}{108} * 100[/tex]

[tex]13.89[/tex] %

A new car is purchased for $40,000 and over time its value depreciates by one half
every 3 years. What is the value of the car 17 years after it was purchased, to the
nearest hundred dollars?

Answers

9514 1404 393

Answer:

  $800

Step-by-step explanation:

The value formula can be written ...

  y = 40,000(1/2)^(t/3)

Using t=17, this becomes ...

  y = 40,000(1/2)^(17/3) ≈ 800

The value of the car after 17 years is about $800.

5. For the function y = 0.5 - 6%, as I approaches negative infinity, what do the y-values approach?
O AO
O B. 0.5
O C.3
OD.6

Answers

Answer:

B. 0.5

in the equation 0.5 * 6^x the 0.5 represents the approach on the y value

Solve the system.
4x + 3y = 10
9x - 4y= 1

Answers

it’s would be (1,2)

4x+3y=10 <— you solve for x and get x=5/2-3/4y

then substitute the value of x into 9x-4y=1 to get
9(5/2-3/4y)-4y=1

solve the equation for Y
y=2

now sub the value of y into x=5/2-3/4y
x=5/2 - 3/4 times 2

your answer would be x = 1

therefore you get (x,y) (1,2)

After solving the given equations, the value obtained for x and y will be equal to (1, 2).

What is an equation?

Mathematical expressions with two algebraic symbols on either side of the equal (=) sign are called equations.

This relationship is illustrated by the left and right expressions being equal to one another. The left-hand side equals the right-hand side is a basic, straightforward equation.

As per the given equations in the question,

4x + 3y = 10      (i)

9x - 4y = 1        (ii)

Multiply equation (i) by 9 and multiply equation (ii) by 4  

36x + 27y = 90

36x - 16y = 4

A similar term of x will cancel out from here.

y = 86/43

y = 2

Put y = 2 in equation (i)

4x + 3(2) = 10

4x = 4

x = 1

To know more about equation:

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Given the right triangle, what should be the measurment for the hypotenuse?

Answers

Answer:

2x...................

WILL MARK BRAINLIEST
Which of the following are independent events?

randomly choosing a marble from a bag, replacing it, and choosing again reaching into your pocket and pulling out two dimes out of 20 coins

drawing a number from a hat, not replacing it, and then drawing a second number

rolling a number cube, rolling again, and trying to match the first roll

Answers

I believe the second one : drawing a number from a hat, not replacing it, and then drawing a second number

Answer:

The first choice.

Step-by-step explanation:

An independent event is an event where the probability of the event doesn't affect the probability of the other.

Randomly choosing a marble from a bag, replacing it, and choosing again reaching into your pocket and pulling out two dimes out of 20 coins.

- This is an independent event since the probability of the first event doesn't affect the probability of the second event in any way.  

There is one third of a pie shared equally between 5 children. How much of the pie does each child receive? one ninth pie one fifteenth pie one eighteenth pie one twentieth pie

Answers

Answer:

Each of the 5 children receive one fifteenth pie

Step-by-step explanation:

Given:

One third of a pie shared equally between 5 children.

To find:

Amount of the pie with each of the 5 children.

Solution:

Number of children = 5

Also, one third of a pie shared equally between 5 children.

So,

Amount of the pie with each of the 5 children [tex]=\frac{\frac{1}{3} }{5}=[/tex] [tex]\frac{1}{15}[/tex]

Hence, each of the 5 children receive one fifteenth pie.

first we need to ask our self the question

Question: There is one third of a pie shared equally between 5 children. How much of the pie does each child receive?

__________________________________________________________

next we need to do the math. 1/3 divided by 5

i recommend turning the fractions into decimal points and then dividing them. after doing that we have the answer 0.067. but that is not a option. so turn it into a fraction! and we get 1/15.

__________________________________________________________

extra note: thank you for reading my answer! if this helps you can say thanks by clicking the heart. you can also rate it by clicking a star.

click down there to get help from a tutor

__________________________________________________________

Who can answer these?

Answers

Here is my answer, hope to help you
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