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
taurus [48]
3 years ago
10

A recipe for one batch of cookies uses 23 cup of oil. Edward has 114 cups of oil. Does he have enough oil to make 2 batches of c

ookies?
Mathematics
1 answer:
Fofino [41]3 years ago
6 0

Answer:

Yes

Step-by-step explanation:

To find how many batches he can make with 114 cups divide 114 by the amount of oil needed to make 1 batch.

114/23=4.95...

He has enough to make 4 batches of cookies.

You might be interested in
What is the value of y in the solution to the system of equations?
Nana76 [90]
The value of y is positive 8
4 0
3 years ago
Problem page the longer leg of a right triangle is 1ft longer than the shorter leg. the hypotenuse is 9ft longer than the shorte
LenKa [72]
Hello,

To solve this problem we want to use the Pythagorean Theorem. 
The pythagorean theorem states that for a 90° triangle, 

a^{2} +  b^{2}  =  c^{2}

where a and b represent the two legs of the triangle, and c represents the hypotenuse. 

Let a = the longer leg and b = the shorter leg.
If the longer leg of the triangle is 1 foot longer than the shorter leg, then
a = b +1. 

If the hypotenuse is 9 feet longer than the shorter leg, then c = b + 9.
Using the equations we created, we can plug them into the Pythagorean Theorem to solve for a, b, and c. 

Doing this, we have:
a^{2} +  b^{2} =  c^{2}
(b+1)^{2}  + b =  (b+9)^{2}

Expanding this, we get b^{2} + 2b + 1 +  b^{2}  =  b^{2} + 18b + 81

 2b^{2} + 2b + 1 =  b^{2} + 18b + 81

 b^{2}  + 1 = 16b + 81

 b^{2} = 16b + 80
 
b^{2} - 16b - 80 = 0



Solving for b, we get b = 20, and b = -4.
The length of the side of a triangle cannot be negative, so we know that b = 20. 

However, we should check this with the original question to make sure it checks out.

a = b + 1
a = 20 + 1 = 21

c = b + 9
c = 20 + 9 = 29

So, we have a = 21, b = 20, and c = 29. (Also, 20-21-29 is a well known Pythagorean triple)
Using the Pythagorean Theorem, we have:

21^{2} +  20^{2} =  29^{2}
441 + 400 = 841
841 = 841, checks out.

So, the shorter leg is 20 feet, the longer leg is 21 feet, and the hypotenuse is 29 feet. 

Hope this helps!

7 0
3 years ago
Jennifer and Jane are best friends. They placed a map of their town on a coordinate gridand found the point at which each of the
koban [17]

Given:

Jennifer and Jane are best friends. They placed a map of their town on a coordinate grid and found the point at which each of their house lies. If Jennifer's house lies at (2, 12) and Jane's house is at (16, 2) and they wanted to meet in the middle.

Required:

8 0
11 months ago
Help please ❤️ I don’t understand
tigry1 [53]

Answer:

75% of 124 is 93.

Step-by-step explanation:

I hoped this helped ^^

8 0
2 years ago
The probability that Latisha orders french fries at lunch is .32 and the probability that she orders a grilled cheese and fries
EastWind [94]

There is a typo error in the last part of the question. The corrected part is-

"If the probability that she orders just a grilled cheese sandwich is .76, what is the probability that she will order a grilled cheese or fries?"

Answer:

The probability that she will order a grilled cheese sandwich or fries is <u>0.43.</u>

Step-by-step explanation:

Given:

Probability of ordering fries is, P(F)=0.32

Probability of ordering cheese sandwich is, P(S)=0.76

Probability of ordering both sandwich and fries is, P(F\cap S)=0.65

Probability of ordering cheese sandwich or fries is given by the union of both the events 'F' and 'S' given as P(F\cup S).

Now, using addition theorem of probability, we get:

P(F\cup S)=P(F)+P(S)-P(F\cap S)\\P(F\cup S)=0.32+0.76-0.65\\P(F\cup S)=0.43

Therefore, probability of ordering cheese sandwich or fries is 0.43.

8 0
3 years ago
Other questions:
  • May I eat some help please
    14·2 answers
  • The 7th term of an AP is 4 and its common difference is -4. What is the first term?
    13·1 answer
  • EXAMPLE 2 Find the local minimum and maximum values of the function below. f(x) = 3x4 â 16x3 â 270x2 + 3 Video Example SOLUTION
    8·1 answer
  • Please help!!! Thank you
    5·1 answer
  • What’s 3.75 as a mixed number in the simplest form
    12·1 answer
  • Blue earns 5.5% commission working at Advian. If he sells $85,000 worth of goods during the quarter,
    5·2 answers
  • If 5 + 2 root 3 / 7 + 4 root 3 = a - b root 3, find a and b.​
    10·2 answers
  • 3 points
    9·1 answer
  • What is the length of AB?
    8·1 answer
  • In a class of 35 students, 5 are freshmen, 8 are sophomores, 9 are juniors and 13 are seniors. If 1 student is randomly selected
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!