1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
siniylev [52]
3 years ago
15

Jackson and derek have a lemonade stand. They sell lemonade in 12oz cups. They are hoping to sell at least 50 cups of lemonade.

Jackson says that they should make 5 gallons, but derek thinks that 17 quarts of lemonade will be enough. Whose amount will give them enough lemonade to fill 50 12oz cups ?
Mathematics
1 answer:
siniylev [52]3 years ago
5 0

To fill 50 12-fl oz cups, you need 50 * 12 fl oz = 600 fl oz

There are 128 fl oz in a gallon

600/128 = 4.6875

600 fl oz = 4.6875 gallons

600 fl oz is under 5 gallons, so 5 gallons is enough.

1 qt = 32 fl oz

17 qt = 17 * 32 fl oz = 544 fl oz

17 quarts is 544 fl oz, which is under the needed 600 fl oz, so 17 quarts is not enough.

Answer: 5 gallons

You might be interested in
A biologist is studying the elk population in a county park. She starts with only 2 elk and observes that the number of elk trip
DochEvi [55]

Answer:

The expression that represents the population of elk is: \text{elk}(t) = 2*3^t. It'll take 6 years for the population to reach 1,458 individuals.

Step-by-step explanation:

Since the number of elks triples every year and starts at \text{elk}(0) = 2, then after the first year the population will be:

\text{elk}(1) = \text{elk}(0)*3 = 2*3

While on the second year, it'll be:

\text{elk}(2) = \text{elk}(1)*3 = 2*3*3 = 2*3^2

On the third year:

\text{elk}(3) = \text{elk}(2)*3 = 2*3^2*3 = 2*3^3

And so on, therefore the expression that describes the population of elk as the years passes is:

\text{elk}(t) = 2*3^t

If we want to know the number of years until the population reach 1,458 elk, we need to apply this value to the left side of the equation and solve for t.

1458 = 2*3^t\\3^t = \frac{1458}{2}\\3^t = 729\\ln(3^t) = ln(729)\\t*ln(3) = ln(729)\\t = \frac{ln(729)}{ln(3)} = 6

The population will reach 1,458 elk in 6 years.

8 0
3 years ago
Which correctly describes the graph shown below
Alborosie
The answer is C. Explanation: The line isn’t a straight line, so it can’t be a linear line. Then, do the vertical line test to see if the line is a function (to do this, draw a vertical line through the graph, and see if it passes more than one point on the graph. If the vertical line passes any more than one point on the graph on any spot, it is not a function), and since the graph fails the vertical line test, it is not a function. Therefore, the answer is C.
5 0
3 years ago
Last question , thanks!!! so much
bezimeni [28]

Answer: (1,3)

Step-by-step explanation:

Find the place where the two lines cross. That’s your answer! It’s (1,3).

3 0
3 years ago
Read 2 more answers
James used a calculator to evaluate 8.931×7.38 but forgot to enter the decimal points. The answer he got was 6 591 078. What sho
likoan [24]

Answer:

65.91078

Step-by-step explanation:

You add the two decimals, that gives you two decimals. Use those two decimals and place them to the right of the answer. =0)

3 0
2 years ago
A church building fund has invested some money in two ways: part of the money at 7% interest and four times as much at 11%. Find
aliya0001 [1]

Answer: he invested $15000 in part 1 and $60000 in part 2

Step-by-step explanation:

Let x represent the amount of money invested in part one.

Let 4x represent the amount of money invested in part 2 .

Total amount of money invested in part 1 and part 2 is

x + 4x = 5x

The formula for simple interest is expressed as

I = PRT/100

Where

P is the principal or initial amount.

T is the duration in years

R is the number rate.

For part 1

R = 7%

T = 1 year

P = x

I = (x × 7 × 1)/100 = 0.07x

For part 2,

R = 11%

T = 1 year

P = 4x

I = (4x × 11 × 1)/100 = 0.44x

if the total annual income from interest is 7650. This means that

0.44x + 0.07x = 7650 - - - - - - - -2

0.51x = 7650

x = 7650/0.51

x = 15000

Amount invested in part 1 is $15000

Amount invested in part 2 is 4×15000 = $60000

4 0
3 years ago
Other questions:
  • -144 is -1 x 2a x 3b what is the sum of a+b?
    5·1 answer
  • 100 points Help my grades depend on this
    11·2 answers
  • I need help please?!!!!!
    14·2 answers
  • Solve x2 + 4x − 4 = 0
    9·2 answers
  • kayla is making a scale drawing of a room in a house. The room actually measures 30 feet by 45 feet. Using the scale 1 in: 15 ft
    10·1 answer
  • Can someone help me pleaseeeeee​
    6·1 answer
  • Richard bought some grapes. He ate 5/8 pound and kept 1 1/8 pounds of grapes. He gave Chris the rest of them. How many pounds of
    10·1 answer
  • Look at this graph:
    6·2 answers
  • HEEEEEEEEELP PLZZZZZZZZZZ
    10·1 answer
  • From 2 Points:
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!