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?

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.

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

Answer:

that is called a repeating decimal.

Step-by-step explanation:

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

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)

Answer:

x=28

Step-by-step explanation:

Answer:

Step-by-step explanation:

C = 1.35n + 15

Answer:d

Step-by-step explanation:

0.0952% ≈ 10%

Hi !

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

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

x = 4×100/42 = 400/42 = 0.0952% ≈ 10%

Good luck !

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:

-6.8

Step-by-step explanation:

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

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.

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.

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

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.

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.

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

Answer:

(3/12)=0.25

(2/5)=0.40

(0.25/0.40)=0.625

Step-by-step explanation:

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]

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

Answer:

6%

Step-by-step explanation:

:0

Answer:

25%

Step-by-step explanation:

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

Answer:

a

Step-by-step explanation:

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

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

Answer:

1m+39c=y

Step-by-step explanation:

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  

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

Answer:

i think its 18

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

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.

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].

Answer:

A≈110.11

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

Step-by-step explanation: