4: 2 cups of sugar is used to make enough lemonade for 6 people. How much sugar is needed to make enough lemonade for 18 people?

Question #6: 12 cans of soup cost $20. What is the cost for 30 cans? *

Question #7: It takes 30 minutes for an author to type 4,500 words. How many words can she type in 3 hours?

Question #8: A concession stand made $45 from the sale of 15 cheeseburgers. If 100 cheeseburgers are sold, how much do they make? *

Answers

Answer 1

Answer:

4. 6 cups

6. 50 dollars

7. 27000 words

8. 300 dollars

Step-by-step explanation:

4.

2 cups           x cups

-------------- = -----------

6 people         18 people

Using cross products

2 * 18 = 6x

Divide by 6

36/6 =6x/6

6 =x

6.

12 cans           30 cans

-------------- = -----------

20 dollars         x dollars

Using cross products

12x = 20*30

12x = 600

Divide by 12

12x/12 =600/12

x = 50

7.

3 hours = 3*60 minutes/hour = 180 minutes

30 minutes           180 minutes

--------------        = -----------

4500 words         x words

Using cross products

30x = 4500*180

Divide by 30

x = 4500*180/30

x=27000

8.

45 dollars           x dollars

-------------- = -----------

15 burgers        100 burgers

Using cross products

45*100 = 15x

Divide by 15

45*100/15 = x

300 =x


Related Questions

Find the next three terms of the sequence 3,9,27,81,...

Answers

Answer:

243, 729, 2187

Step-by-step explanation:

Multiply the previous with 3

It's Geometric sequence

Brainliest please~

and angle is 21 more than twice its complement find it

Answers

Answer:

angle = 67°

Step-by-step explanation:

let

a = angle in degrees

(90-a) = complement

given

a = 2(90-a)+21

Solve for a

a = 180 - 2a + 21

3a = 201

a = 67°

Please help and thank you
a. Label another angle whose measure is 76º.

b. Explain how you know this angle has the same measure.

Answers

Answer:

Angle QRS

Step-by-step explanation:

because PQ is parallel to RS, angles PQR and QRS are alternate interior angles so theyre equal

Solve 17 and 18 please.

Answers

Answer:

Step-by-step explanation:

17.

sin20° = [tex]\frac{1}{x}[/tex]

x = 1 ÷ sin20°

x2.9238

cos20° = [tex]\frac{x}{y}[/tex]

y = x ÷ cos20°

y ≈ 2.9238 ÷ cos20° ≈ 3.11

18.

x = 2√3 ≈ 3.46

y = √3 ≈ 1.732

Help ASAP please!!!!!!!!!

Answers

Answer:

1/4

Step-by-step explanation:

pitches >3

pitches=4,5

P=(15+10)/(15+20+40+15+10)=1/4

I need help asap!!!! 13 points​

Answers

If IK is the whole length of the line segment, then IJ + JK = IK.

IJ + JK = IK

(3x - 5) + (2x - 1) = (3x + 2)

3x + 2x - 5 - 1 = 3x + 2

5x - 6 = 3x + 2

2x - 6 = 2

2x = 8

x = 4

Now that we know the value of x, we can plug this value back into the expression for JK and evaluate.

JK = 2x - 1

JK = 2(4) - 1

JK = 8 - 1

JK = 7

Hope this helps!

the length of JK is 7

This is because JK + IJ = IK which means 2x-1+3x-5=3x+2
When you simplify this you will get x=4
You then plug 4 into your equation for JK so 2(4)-1 which equals 7

How would you describe the channel of distribution for Coke using the BreakMate?

Answers

Answer:

Yes

Step-by-step explanation:

1. What

2. Even if that's an actual question, it doesnt make any sense

3. What

4. Even if that's an actual question, it's not math related

5. What

With three people living together, how will the rent and other expenses be split?

Answers

Answer:

Everything will be split in threes. You can do this by either multiplying the cost by 1/3 or dividing by 3.

Step-by-step explanation:

The spinner depicted is a fair spinner. The spinner is least likely to land on which number?




A 1

B 2

C 3

D It is impossible to tell.

Answers

D is the correct answer.

Answer:

d

Step-by-step explanation:

it is impossible to tell since no numbers were given nor signs were offered to help us know whether we are dealing with additon , subtraction , multiplication or division

Rewrite the following quadratic function in vertex form. Then, determine if it has a maximum or minimum and say what that value is.

y = -x 2 + 6x + 5



HELP PLEASE!!!!!!

Answers

Answer:

-(x-3)²+14

maximum

(3,14)

Step-by-step explanation:

y= -x²+6x+5

y-5= -x²+6x

y-5= -(x²-6x)

complete the square

y-14= -(x²-6x+9)

x²-6x-9= -(x-3)²

y-14= -(x-3)²

y= -(x-3)²+14

maximum because a is negative

vertex is (3,14)

Does this help? Vertex form: y(x) = 4x + 5

Someone please help me It’s getting late and it’s due tomorrow

Explain why the equation
1- x= 5(x - 4) - 6x has no solution.

Answers

Answer:

After the distribution of the 5 and the addition of x to both sides, the x variable is cancelled out leaving 1 = - 20.

This statement is false. Hence, no solution

Step-by-step explanation:

1 - x = 5(x - 4) - 6x (Distribute 5)

1 - x = 5x - 20 - 6x (Combine like terms)

1 - x = -x - 20  add x to both sides

1 = - 20 False

Write the equations of two lines passing through (4,8)

Answers

Answer:

Two lines that pass through the point (4, 8) are y = 3·x - 4 and y = -5·x + 28

Step-by-step explanation:

The equation of two lines that passes through the point (4, 8) are found using the general form of a straight line equation, y = m·x + c, where;

m = The slope of the line

c = The y-intercept

Therefore, two distinct line pass through a given point if they have a different slope, m, and a different y-intercept, c, as follows;

Fot the given point, the x-value = 4, and the y-value = 8, we get;

8 = m₁·4 + c₁...Line 1 and

8 = m₂·4 + c₂...Line 2

m₁ ≠ m₂

If we set m₁ = 3, for line 1, we get;

8 = 3 × 4 + c₁ = 8 = 12 + c₁

∴ c₁ = 8 - 12 = -4

c₁ = -4

The equation for Line 1 for all x and y-values, where, m₁ = 3, c₁ = -4, becomes;

y = 3·x - 4

The equation for Line 2 where m₂ = -5 for example, we have;

8 = -5 × 4 + c₂

∴ c₂ = 8  + 5 × 4 = 28

c₂ = 28

The general form for the equation for Line 2 becomes;

y = -5·x + 28

Therefore;

The equation of the two formed lines that pass through the point (4, 8) are;

y = 3·x - 4 and y = -5·x + 28

differentiate between interest and interest rate​

Answers

Answer:

Interest:

Interest is the cost of borrowing money, and the money you earn from your savings.

Interest rate

Interest rates indicate this cost or return as a percentage of the amount you are borrowing or lending (since you are “lending” your savings to the bank)

jess bregoli ◍❤

#keep learning!!

pls ans this
its urgent

Answers

It’s A I think but I’ll check again

Explain two procedures that you can use to draw two adjacent complementary angles. Then draw a pair of adjacent complementary angles so that one angle has a measure of 30°.

Answers

Answer:

Complementary angle of 30° is 60°.

Step-by-step explanation:

The complementary angles are the angles whose sum is 90.

If one angle is x then the other angle is 90 - x, they both are complementary to each other.

One angle is 30°, so the other angle is 90° - 30° = 60°

A cyclist travels 8 km from home to the park. She leaves home at 10:15 and arrives at the park at 10:30. What is her average speed in km/h?

Answers

Answer:

speed = 32km/hr

Step-by-step explanation:

Time

10:15 to 10:30 = 1/4 hr

speed = distance/time

speed = 8 / (1/4)

speed = 32km/hr

What is the area of this tile?
Use inch or inch^2 for this problem.

Answers

Answer:

24 in^2

Step-by-step explanation:

To get the area of a triangle, multiply the base and height, then divide by 2.

Base=6

Height=8

6*8/2=48/2=24

24 in^2

Answer:

24 inch^2

Step-by-step explanation:

6 times 8 equals 48

Divide that by 2 and get 24

Area of Triangle is A=1/2bh

Can I get Brainliest, please!

Which of the following functions represent exponential decay and has a y-
intercept of 2?
O y = {(0.85)*
O y = (2)*+2
O y = 4 (2)*
O y = 2(3)*

Answers

Answer:

Non of the given options

A function that represent an exponential decay and 2 as the y-intercept is y = 0.85ˣ + 1

Step-by-step explanation:

An exponential decay function is a function that reduces in magnitude at a constant percentage rate, r (< 1)

An exponential decay can be represented by the formula, y = a·(1 - r)ˣ

Therefore, the growth factor, (1 - r) = b is less than 1 for an exponential decay

Therefore the function that represent an exponential decay is y = 0.85ˣ, while a function that represent an exponential decay and has a y-intercept of 2 is y = 0.85ˣ + 1. therefore, non of the options

PLEASE help me! 50 Points

What is the Inverse of

Answers

Answer:

hmm what could it be I DNT kno

a shop sells three types of boots (football, rugby and hiking) sales are usually in the ratio 6:2:3
last month 24 pairs of football boots were sold
how many boots altogether were sold last month

Answers

Answer:

44

Step-by-step explanation:

divide 24 by 6 then multiply it by all the number then add it all

please make me brainliest

The first file is the question, 2nd is the answer choices; this question has stumped me.

Answers

Answer:

ans: option b

Step-by-step explanation:

remember that,

For matrix addition or subtraction of two or more matrices must have same order and only operation done with corresponding elements,

if you find helpful make it brainlist

Find the surface area of a cylinder with a height of 7 feet and base radius of 4 feet. ,_____ square feet ​

Answers

Answer:

276.32

Like I have explained in a prev. Question of yours.

Answer:

The surface area of cylinder is 276.32 feet²

hope it helps

have a nice day

what is the effect on the graph of f(x) if it is changed to f(x)+7, f(x+7) or 7f(x)​

Answers

Answer:

it changed to f(x)+7 because it has an asymptote of 7

if you can bake 14 cupcakes in one hour how long will it take to bake 126 cupcakes?

Answers

Answer:

9 hours

Step-by-step explanation:

126 dived by 14 is 9, so it will take 9 hours to bake 126 cupcakes.

Answer: It will take maybe 9 hours

hope this helps :)

Step-by-step explanation:

Total health care costs in the United States in 2016 was $1.7 trillion. he US population was 290.9 million. What was the average amount spent per person on health care?

Answers

Answer:

$5,843.9

Step-by-step explanation:

2016

Total health care cost in US = $1.7 trillion

= $1,700,000,000,000

Population in US = 290.9 million.

= 290,900,000

Average amount spent per person on health care = Total health care cost in US / Population in US

= 1,700,000,000,000 / 290,900,000

= $5843.9326228944

Approximately,

$5,843.9

To the nearest whole number

= $5,844

13. Jimmy is writing a paper for one of his classes. The paper has to be 3,000 words
long, and so far he has written 696 words. If he only has 6 more days to write
his paper and wants to write the same number of words each day, then how
many words must he write per day to finish the paper?

Answers

Answer:

384 words per day

Step-by-step explanation:

If he already wrote 696 words out of 3,000 words, then he has another 2,304 words left to write. To know how many words he needs to write each day for the next 6 days, then we need to divide 2,304 words by 6. The quotient thus becomes 384 words.

Answer:

384 words per day

Step-by-step explanation:

3000-696=2304

So 2304 divided by 6 =348

72 x 24 in algorithm

Answers

72 x 24 is equal to 1,728

Helppppppppppppppppppppppppppppppppppppppppppp meeeeee

Answers

Answer:

Angle A = 19

Step-by-step explanation:

Vertical angles are congruent ( equal to each other )

If angle A and angle B are vertical angles and vertical angles are congruent then angle A = angle B

If angle A = 3x + 13 and angle B = 5x + 9 then 3x + 13 = 5x + 9

( Note that we just created an equation that we can use to solve for x )

We now solve for x using the equation created

3x + 13 = 5x + 9

Step 1 subtract 3x from both sides

Outcome: 13 = 2x + 9

Step 2 subtract 9 from both sides

Outcome: 4 = 2x

Step 3 divide both sides by 2

Outcome: x = 2

Now to find Angle A

All we have to do to find the measure of angle a is simply substitute 2 for x in it's given expression ( 3x + 13 )

Substitute 2 for x

Angle A = 3(2) + 13

Multiply

Angle A = 6 + 13

Add

Angle a = 19

help mee
x=
a.8
b. 9
c. 10

Answers

Answer:

A

Step-by-step explanation:

The formula is 5*x=4*10. Then simplify to 5*x=40. Divide both sides by 5. x=8

Solve for x
-6/5x-4=-46​

Answers

Answer:

x = 35

Step-by-step explanation:

-6/5x-4=-46​

Add 4 to each side

-6/5x-4+4=-46+4

-6/5x=-42​​

Multiply each side by -5/6 to isolate x

-5/6 * -6/5x=-42 * -5/6​

x = 35

Answer:

x = 35

Step-by-step explanation:

-6 / 5x - 4 = - 46

Add 4 to each side

- 6 / 5 x - 4 + 4 = - 46 + 4

- 6 / 5 x = - 42

To find x, multiply 42 by 5 and then divide by 6.

x = 42 × 5 / 6

x = 7 × 5

x = 35

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