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lianna [129]
2 years ago
16

A 24-ounce mocha beverage with whipped cream has 25% of the calories allowed on a 2,000-calorie-per-day diet. What percentage of

a 2,500-calorie-per-day diet would this same drink constitute?
Mathematics
2 answers:
alisha [4.7K]2 years ago
9 0

Answer: The answer is 20%.

hope this is helpful :D

DochEvi [55]2 years ago
7 0
Hello there!

2,000 × 25% = 500 = 500 calories in the beverage.
So, 2,500 ÷ 500 = 5 
We know that 5 × 20 = 100
Therefore, 20% is your answer

Hope this helped! Have a great day!
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Shawna found coins worth $4.32. One-fourth of the found coins are pennies and one-sixth are quarters. The number of nickels foun
Sunny_sXe [5.5K]

Answer:

8 quarters

12 nickels

12 pennies

16 dimes

Step-by-step explanation:

Let the number of coins = x

One-fourth of the found coins are pennies ⇒ 0.25 x

one-sixth are quarters ⇒ (1/6) x

The number of nickels found is 1.5 times the number of quarters⇒ 1.5*(1/6)x

Let ⇒ There no dimes.

Penny = 1 cent , quarter = 25 cents , nickel = 5 cents

$4.32 = 432 cents

So,

0.25x + (1/6) x * 25 + 1.5*(1/6)x * 5 = 432

Solve for x

(17/3) x = 432

x = 432*3/17 = 76.24

The number of coins must be integer number so, we should assume there are some of coins are dimes

Let the number of coins that is dimes = y

The number of total coins = x

So, 0.25 x + (1/6) x + 1.5 * (1/6) x + y = x

∴ y = x - (0.25 x + (1/6) x + 1.5 * (1/6) x) = (1/3) x ⇒ (1)

And the total coins worth $4.32 = 432 cents

0.25x + (1/6) x * 25 + 1.5*(1/6)x * 5 + 10 y = 432

By substitution with y from (1)

∴ 0.25x + (1/6) x * 25 + 1.5*(1/6)x * 5 + 10 * (1/3) x = 432

Solve for x, combine the terms contain x

∴ (0.25 + (1/6)*25 + 1.5*(1/6)*5 + 10 * (1/3)) x = 432

∴ 9 x = 432

∴ x = 432/9 = 48 coins

So, The number of quarters = 1/6 x = 8 quarters

The number of nickels = 1.5 number of quarters = 1.5*4 = 12 nickels

The number of pennies = 1/4 x = 12 pennies

The number of dimes = 1/3 x = 16 dimes

5 0
2 years ago
A truck stops at a gas station where diesel fuel costs $3.99 per gallon. The truck needs 8.8 gallons of diesel for the driver to
Dmitry [639]
36.00 will be enough to pay for fuel because if you multiply the 8.8 gallons of diesel needed by the fuel cost per gallon you get 35.112

6 0
2 years ago
Read 2 more answers
A stadium brings in $16.25 million per year. it pays football-related expenses of $13.5 million and stadium expenses of $2.7 mil
Ganezh [65]
We have that

Profit margin is calculated by finding the net profit as a percentage of the revenue

Profit margin = [Net profit / Revenue]

Net profit= [Revenue-Cost]

we know that

Revenue = $16.25 million

Cost = $13.5 million + $2.7 million

Net profit = [16.25 million - (13.5 million + 2.7 million)]

Net profit = $0.05 million

Profit margin = 0.05 / 16.25

Profit margin = 0.003077 or 0.3077%


3 0
2 years ago
Choose the correct answer. Two cars leave phoenix and travel along roads 90 degrees apart. If car 1 leaves 60 minutes earlier th
Alexxx [7]

Answer:

251.047804213 miles

Step-by-step explanation:

c1 t=3.5+1     speed 40 mph

c2 t=3.5       speed  50 mph

c1 40 *4.5= 180

c2 50 *3.5= 175

a^2+ b^2= c^2

180^2+175^2=c^2

32400+30625=c^2

63025=c^2

251.047804213=c

6 0
2 years ago
PLEASE HEP ASAP!!!!!!! 30 POINTS!!!!!
anzhelika [568]

Answer:

a) 42°F < x < 176°F

b) The inequality graph is attached.

c) No, This is because at 20° F benzene would not be in liquid form but in solid form.

Step-by-step explanation:

According to the Question,

a) For the benzene to remain in liquid form, the temperature of benzene must be less than the boiling point and greater than the boiling point. Let x be the temperature of benzene, For benzene to remain as liquid, its temperature must be between:

42°F < x < 176°F

b) The inequality graph is attached. The graph shows that the temperature of benzene must be between 42°F and 176°F so that it would be a liquid. The Closed circles represent that it is greater than 2.

c) No, This is because at 20° F benzene would not be in liquid form but in solid form. Because the temperature cannot go below 42 before it freezes, she would not have been able to conduct her research .

5 0
2 years ago
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