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
yanalaym [24]
3 years ago
11

The number of calories in a muffin is directly proportional to the amount of sugar in the muffin. If a 200 calorie muffin has 50

0 grams of sugar. How many calories are in a muffin with 2,075 grams of sugar
Mathematics
1 answer:
Reptile [31]3 years ago
4 0

Answer:

830 calories

Step-by-step explanation:

The number of calories in a muffin is directly proportional to the amount of sugar in the muffin.

Let the number of muffins be N and the amount of sugar in the muffin be A. This means that:

N α A

=> N = kA

where k = constant of proportionality

A 200 calorie muffin has 500 grams of sugar.

This implies that:

200 = k * 500

=> k = 200 / 500 = 2/5

The constant of proportionality is 2/5.

The number of calories in a muffin with 2075 grams of sugar is:

N = 2/5 * 2075

N = 830 calories

There are 830 calories.

You might be interested in
Given the function rule f(x)=x2-4x+3 what is the output of f(-3)
Mariana [72]
(-3)^2 -4(-3) + 3

9 + 12 + 3

So the answer is 24
3 0
3 years ago
A bike ramp is shown in the figure. What is theta, the bike ramp's angle of elevation? Round your answer to the nearest degree.
AysviL [449]

Answer:

Ф = 14° ⇒ to the nearest degree

Step-by-step explanation:

* Lets revise the trigonometry functions

- Assume that we have a right triangle ABC

∵ m∠B = 90°

∴ AC is the hypotenuse ⇒ opposite to the right angle

∴ AB and BC are the legs of the right angles

- Let angle ACB called Ф

∵ sinФ = opposite/hypotenuse

∴ sinФ = AB/AC

∵ cosФ = adjacent/hypotenuse

∴ cosФ = BC/AC

∵ tanФ = opposite/adjacent

∴ tanФ = AB/BC

* Now lets solve the problem

- We will consider the bike ramp is the ΔABC

∵ AB = 1.5 feet

∵ ∠ACB is Ф

∵ The length of the ramp is the hypotenuse

∴ AC = 6 feet

- W have the length of the opposite to Ф and the hypotenuse

∴ We will chose the sin function

∵ sinФ = AB/AC

∴ sinФ = 1.5/6 ⇒ use the inverse of sin to find Ф

∴ Ф = sin^-1 (1.5/6) = 14.47 ≅ 14° ⇒ to the nearest degree

3 0
3 years ago
Read 2 more answers
A survey reported that 5% of Americans are afraid of being alone in a house at night. If a random sample of 20 Americans is sele
liq [111]

Answer:

5.96% probability that exactly 3 people in the sample are afraid of being alone at night.

Step-by-step explanation:

For each person, there are only two possible outcomes. Either they are afraid of being alone at night, or they are not. The probability of a person being afraid of being alone at night is independent of any other person. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

5% of Americans are afraid of being alone in a house at night.

This means that p = 0.05

If a random sample of 20 Americans is selected, what is the probability that exactly 3 people in the sample are afraid of being alone at night.

This is P(X = 3) when n = 20. So

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 3) = C_{20,3}.(0.05)^{3}.(0.95)^{17} = 0.0596

5.96% probability that exactly 3 people in the sample are afraid of being alone at night.

5 0
3 years ago
two places A and B are 80km apart on a highway. Two cars at A and B, when moving in the same direction meet in 8 hours and when
Inessa [10]

Answer:

va= 35 km/hr vb=25 km/hr

watch explanation

4 0
3 years ago
Read 2 more answers
A Japanese garden has a circular koi pond in the middle that has a radius of 3 feet. A rectangle with length of 16 feet and widt
Mariulka [41]

Answer:

first, find the area of the circle cut.

r= 3 feet

π=3.14

area of a circle= πr²= 3.14×3×3= 28.26 sq.feet

Now, find the area of the rectangle and subtract it by the area of the circle.

area of rectangle = l×b

length of the rectangle= 16 feet

breadth/width of the rectangular garden= 14 feet

area=  16×14= 224 sq. feet

now, area of the garden surrounding the koi pond=  224-28.26

                                                                                     =195.74 sq. feet

7 0
3 years ago
Other questions:
  • Lynne used 3/8 cup of flour and 1/3 cup of sugar in a recipe. what number is a common denominator for 3/8 and 1/3?
    7·2 answers
  • Triangle ABC, with angles and lengths as marked, is shown below.
    6·1 answer
  • Would this be X = 5. HElp asap
    6·1 answer
  • -8(2a-3b)-5(6b)-5(-4a)
    11·2 answers
  • BEST ANSWER GETS BRAINLIEST!!! PLEASE HELPP
    12·2 answers
  • Using the figure of the bullseye above, what is the probability that a shooter will hit the bullseye two shots in a row? Express
    14·2 answers
  • Is x = 3 a solution to the inequality below?<br><br> 5 ≥ x
    9·2 answers
  • 2. A bag of trail mix weighs 2 pounds. By weight, 18% of the mix is oats. (a) Use the 10 by 10 grid to represent 2 lb of trail m
    12·1 answer
  • Someone please help this is due in an hour
    6·1 answer
  • Paul had a job during the summer. He earns 9. 25 per hour. He worked 22 hours each week for 6 weeks. How much money did paul ear
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!