To make lemonade , Kate uses 1 cup of lemon juice and 2 cups of sugar. If she makes a larger amount of lemonade with 10 cups of sugar, how many cups of lemon juice does she need?

Answers

Answer 1

Answer:

5 cups

Step-by-step explanation:

Answer 2

Answer:

1/2 : 1

2 : 4

3 : 6

Notice that every ratio consists of a number and double the number.

For 1/2 cup lemon juice, use 1 cup sugar.

The amount of sugar is twice the amount of lemon juice.

The ratio is 1:2

Since you are told the ratio is 1:r, that means r is 2.

The unit rate is 2 cups sugar per cup of lemon juice.

Step-by-step explanation:


Related Questions

ew.pat
100%
Aubrey is saving up to buy a new jacket. She already has $85 and can save an
additional $7 per week using money from her after school job. How much total
money would Aubrey have after 8 weeks of saving? Also, write an expression that
represents the amount of money Aubrey would have saved in w weeks.
I
Aubrey can save $7 per week, so she can save $7 x 8 or $56
in 8 weeks. Because she already had $85 to begin with, the
total amount saved would be $56 + $85 or $141.

Answers

Answer:

[tex]Total\ Savings = 85 + 7 w[/tex] --- In w weeks

[tex]Total\ Savings = \$141[/tex] --- In 8 weeks

Step-by-step explanation:

Given

[tex]Available\ Amount = \$85[/tex]

[tex]Weekly\ Savings = \$7[/tex]

[tex]Number\ of\ weeks = 8[/tex]

Required

Determine the amount of savings in w weeks

This can be calculated as thus:

[tex]Total\ Savings = Available\ Amount + Weekly\ Savings * Number\ of\ weeks[/tex]

In this case;

w = Number of weeks

So, we have:

[tex]Total\ Savings = 85 + 7 * w[/tex]

[tex]Total\ Savings = 85 + 7 w[/tex]

When w = 8, we have

[tex]Total\ Savings = 85 + 7 * 8[/tex]

[tex]Total\ Savings = 85 + 56[/tex]

[tex]Total\ Savings = \$141[/tex]

The student council needs posters for the winter carnival the print shop charges $15 for each print job each poser will cost an additional 1.35 what equation shows the realationship

Answers

Answer:

Step-by-step explanation:

C = 1.35n + 15

4. What is the value of the expression 3/12÷2/5​

Answers

Answer:

(3/12)=0.25

(2/5)=0.40

(0.25/0.40)=0.625

Step-by-step explanation:

a decimal number in which a digit or group of digits
repeats without end

Answers

Answer:

that is called a repeating decimal.

Step-by-step explanation:

Mandie is making 15 cups of fruit salad. What ratio of grapes to blueberries should she use?

Answers

Answer: She should us a ratio of 1:5 for grapes to blueberries

Step-by-step explanation:

Blueberries are a lot smaller than a typical grape, hence you should have 5 blueberries for every grape. Hence, the 1:5 ratio.

Answer:

(C)

Step-by-step explanation:

12:3  

Does noone know this ://?

calculate 4 cm as a percentage of 42 cm​

Answers

Answer:

0.0952% ≈ 10%

Step-by-step explanation:

Hi !

42 cm ............... 100%

4 cm .......................x%

x = 4×100/42 = 400/42 = 0.0952% ≈ 10%

Good luck !

HELP ME PLEASE ECPLAIN WHY

Answers

Answer:

A≈110.11

using formula 1/4[tex]\sqrt5(5+2\sqrt5)a2[/tex]

Step-by-step explanation:

To play indoor soccer at the Sun Oaks Club, you must pay a $100 membership
fee, plus $10 for each hour you use the facilities. a) The function f represents the
cost of playing soccer at Sun Oaks depending on how many hours you play. The
function g represents the cost if the hourly rate were halved. Write each
function. *​

Answers

Given that:

Membership  feet to play indoor soccer at the Sun Oaks Club = $100

Hourly rate = $10

To find:

The function f represents the  cost of playing soccer at Sun Oaks.

Here, fixed cost is $100.

Let the number of hours of playing be t.  So, total variable cost is $10t.

Total cost = Fixed cost + Variable cost

[tex]f(t)=100+10t[/tex]

So, the required function is [tex]f(t)=100+10t[/tex].

Now, if the hourly rate were halved. Then,

Hourly rate [tex]= \$ \dfrac{10}{2} = \$ 5 [/tex]

So, total variable cost is $5t and total cost function is

[tex]g(t)=100+5t[/tex]

So, the required function is [tex]g(t)=100+5t[/tex].

PLEASE HELP
Point A is at (1,5) and point C is at (-5, – 7).
Find the coordinates of point B on AC such that AC is 6 times as long as AB.

Answers

Answer:

(0,3)

Step-by-step explanation:

This is a problem from affine geometry, so doesn’t need any concept of distance that mixes x and y coordinates. We can just take each coordinate separately.

(1,5),(−5,−7),(,),=6

Usually in these sorts of problems with unknown B we’re given the ratio AB:BC; here we have the slightly unusual and easier AB:AC.

The difference of the given points  −=(6,12) .

Since  =6  we know  −=16(−)=(1,2)

So  =−(1,2)=(1,5)−(1,2)

=(0,3)

Solve |x + 3| = 7.
A. x= -4
B. x= 10
C. x= 4
D. x= -10

Answers

Answer:

C. x= 4

Step-by-step explanation:

|x + 3| = 7

x + 3 = 7

x = 7 - 3

x = 4

Answer:

x = 4

Step-by-step explanation:

|x + 3| = 7

=> x + 3 = 7

=> x = 7 - 3

=> x = 4

Hi May I know how to solve this question

Answers

The correct answer is (2) 150
(3) is the correct answer!

Is the following number rational or irrational?
6 1/2

Answers

Answer:

yes it  is a rational number

Step-by-step explanation:

if we convert the mixed fraction into an improper fraction, we will get:

6 1/2  = 13/2

Recall that the definition of an Rational number is that it can be expressed as a division of two integers.

in our case, the numerator is 13 (which is an integer) and the denominator is 2 (which is also an integer)

hence according to our definition it is a rational number

The mixed fraction number 6 1/2 is a terminating number. Then the number is a rational number.

What is a rational number?

If the value of a numerical expression is terminating then they are the rational number then they are called the rational number and if the value of a numerical expression is non-terminating then they are called an irrational number.

The mixed fraction number is given below.

⇒ 6  1/2

Convert the mixed fraction number into the fraction number. Then we have

⇒ 6  1/2

⇒ 6 + 1/2

⇒ (12 + 1)/2

⇒ 13/2

Convert the fraction number into a decimal number. Then we have

⇒ 13/2

⇒ 6.5

The mixed fraction number 6 1/2 is a terminating number. Then the number is a rational number.

More about the rational number link is given below.

https://brainly.com/question/9466779

#SPJ2

Find three consecutive integers such that the sum of the 1st and 3rd is 60.

Answers

29,30,31 are the numbers

36=q^2 Find the solution to the equation

Answers

Answer:

i think its 18

(also if you dont mind can you please help me with my question)

To answer your question it should be 18

what is 143x+4=12 please help

Answers

Isolate the variable by dividing each side by factors that don’t contain variables.


Answer: 8/143
x= 8/143

First you need to move the constant to the right of the equals sign. = 143x=12-4

Second you need to calculate it when the constant is on the right side. = 143x=8

lastly you need to divide both sides. (both sides divided by what ever number doesn’t have a variable next to it so that would be the right side on this question)

Hope this helps !!
Good luck doing school tomorrow you should go to sleep soon !!

If the statement is rewritten as a conditional statement in if-then form, which best describes the conclusion?
A student who earns 85% earns a B.
O If a student earns 85%
O If a student earns a B
O Then a student earns 85%
O Then a student earns a B

Answers

If a student earns 85%, then that student earns a B.

Answer:d

Step-by-step explanation:

Kim poured a 24-ounce container of orange juice into 5 cups. She poured the same amount of juice into each cup. Write a rational number that represents the amount of juice in each cup.Required to answer.Single line text.

Answers

Answer:

4.8

Step-by-step explanation:

24/5 = 4.8

A rational number is any whole number, fraction, finite decimal or repeating decimal. Therefore 4.8 = rational number.

A rational expression to represent the amount of juice in each cup is 24/5.

What is a fraction?

A fraction is a part of the whole represented by a/b, where a and b are any integers.

Given, Kim divided 24 ounces of orange juice into 5 cups.

Therefore, the amount of juice in each cup is:

24/5

Hence, a rational expression to represent the amount of juice in each cup is 24/5.

Learn more on fractions here:

brainly.com/question/10354322

#SPJ5

A truck rental company rents a truck for one day by charging $39 plus $1 per mile. Write a linear model that relates the cost C, in dollars, off the renting truck to the number of M miles driven.

Answers

Answer:

1m+39c=y

Step-by-step explanation:

half a number decreased by three is equal to 38 less than four times the number

Answers

Answer:

10

Step-by-step explanation:

let the unknown number be x

so half of x decreased by 3 is

1/2x -3

It is equal to 38 less than 4 times the number which is x; 4x-37

THEREFORE;

½x-3 =4x -38

x-6/2 = 4x-38

cross-multiply

x-6 =8x -76

x-8x = -76+6

-7x = -70

Divide both sides by -7

So x =10

What is the equation of the line that is perpendicular to
the given line and passes through the point (3,0)?
A. 3x+5y=-9
B.3x+5y=9
C.5x-3y=-15
D.5x-3y=15

Answers

Answer:

answer is D

shown below

The equation of the line that is perpendicular to the given line and passes through the point (3,0) is 3y - 5x = -15.

What is Slope?

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the

change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

We have the points as (-3, 2) and (2, -1).

So, the slope of line

slope = (-1 -2)/ (2 -(-3))

slope = -3/5

So, the slope for the perpendicular line is

slope= 5/3

Now, using the slope intercept form

y= mx+ b

y= 5/3x + b

and, the line passes through (3, 0)

0= 5/3(3)+ b

b= -5

Then, the equation of line is

y= 5/3x -5

3y - 5x = -15

Learn more about Slope here:

https://brainly.com/question/3605446

#SPJ7

PLEASE HELP FAST! 50 POINTS!
A three digit number when divided by 5 has an even quotient. When it is divided by 3, it also has an even quotient.

A, What is the digit in the one's place?
B, What can the number be?

Answers

Answer:

A. 0

B. there are many options for this but just some examples are

120, 150, 180, 210, 240, 270, 300, 330, 360, 390

Step-by-step explanation:

the rest of the options are

420, 450, 480, 510, 540, 570, 600, 630, 660, 690,

720, 750, 780, 810, 840, 870, 900, 930, 960, 990.

What is the value of x?
1/4x + 17 = x - 4
Please explain:

Answers

Answer:

x=28

Step-by-step explanation:

solve for the equation 6x+14=7x+8

Answers

Answer:

x = 6

Step-by-step explanation:

For this problem, we simply will isolate the x to find the value of x:

6x + 14 = 7x + 8

6x + -6x + 14 = 7x + -6x + 8

14 = x + 8

14 + -8 = x + 8 + -8

6 = x

Hence, x = 6.

Cheers.

Answer:

x=6

Step-by-step explanation:

First, subtract 6x from both sides to get:

14=x+8

Now, subtract 8 from both sides to get x alone:

6 = x

Beach Bicycles sells two-seater bicycles. Its markup rate is 68%. Which equation represents the new price for a bicycle, y, given an original price, x?

Answers

Answer:

y = 1.68x

Step-by-step explanation:

The markup rate of a product or service refers to how higher the selling price is than the total production cost. In this case, this company doesn't produce the bikes, instead it purchases them from a wholesaler, distributor or even the factory, and then resells them in order to make a profit.

E.g. Beach Bicycles purchases two-seater bikes at $200 each, and then it will resell them to their customers at 1.68 x $200 = $336. The total markup in this example is $136, which represents $136/$200 = 68% of the purchase price.

HELP PLS WILL GIVE BRAINLISTE

Answers

Answer:

6%

Step-by-step explanation:

:0

Answer:

25%

Step-by-step explanation:

i did a quiz on this the right answer is 25%

Can anyone help me with number 5?

Answers

Answer:

a

Step-by-step explanation:

what is more -14.2 or -6.8​

Answers

Answer:

-6.8

Step-by-step explanation:

it is closer to 0 and so it is more than the -14.2

The Answer is -6.8

Find the values of c and d​

Answers

[tex]36 + 3c = 90 \\ 3c = 90 - 36 \\ 3c = 54 \\ c = 18[/tex]

[tex]5d + 10 = 90 \\ 5d = 90 - 10 \\ 5d = 80 \\ d = 16[/tex]

Leah is paid semimonthly. How many fewer paychecks does she
receive in 2 years compared to someone who is paid weekly?

Answers

Answer:

Leah has 80 less paychecks than the weekly person.

Step-by-step explanation:

Leah is getting 24 paychecks in 2 years, Weekly person gets 104 paychecks in 2 years, 104 - 24 = 80 paychecks.

Solve the following equation for x. Show each step.
5x + 2 = 3x + 4(2x - 1)

Answers

Answer:

[tex]x=1[/tex]

Step-by-step explanation:

Start with:

[tex]5x+2=3x+4(2x-1)[/tex]

Distribute the [tex]4[/tex] into [tex](2x-1)[/tex]:

[tex]5x+2=3x+8x-4[/tex]

Combine like terms:

[tex]5x+2=11x-4[/tex]

Add [tex]4[/tex] to both sides of the equation:

[tex]5x+6=11x[/tex]

Subtract [tex]5x[/tex] from both sides of the equation:

[tex]6=6x[/tex]

Divide both sides of the equation by the coefficient of [tex]x[/tex], which is [tex]6[/tex]:

[tex]1=x[/tex]

or

[tex]x=1[/tex]

ANSWER: x = 1

1. Distribute the 4 into (2x-1). 5x + 2 = 3x + 8x - 4.
2. Add the like terms. 5x + 2 = 11x - 4.
3. Subtract 5x on both sides. 2 = 6x - 4.
4. Add 4 on both sides. 6 = 6x
5. Divide 6 on both sides. x = 1
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