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baherus [9]
3 years ago
7

please help.......if Frans fudge recipe calls for 2 1/2 cups of sugar and she increases it by 2/5 of a cup, how much sugar does

she use?
Mathematics
1 answer:
Nimfa-mama [501]3 years ago
8 0
For this you are adding two fractions together. You always want to make sure they are both improper or normal fractions and that they have a common denominator. To find a common denominator, you look at the denominators and look for a number (The smaller the better) that both can be multiplied by some number to get to. In this case, the common denominator is 10. To make the denominators the same you multiply by one so the value doesn't change. This is done by multiplying the numerator and denominator by the same number that results in the denominator becoming the common denominator.
2 1/2 = 5/2 × 5/5 = 25/10
2/5 × 2/2 = 4/10

When adding, the denominator remains the same and the numerators are added!
25 + 4 = 29
So the answer is 29/10 or 2 9/10 when converted back into a mixed number.
Hope this helped!
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X-30% is 12. What is X?
skad [1K]
If i'm not wrong,i think the answer is:

30%=0.3
X=0.3+12=12.3

5 0
3 years ago
Read 2 more answers
Write a cosine function that has an amplitude of 3, a midline of 2 and a period
marissa [1.9K]

Answer:

f(x) = 3 cos  (2Pi / period value ; x  )+ 2

or see answer using 2 as the period see answer in bold below.

Step-by-step explanation:

cosine function amplitude of 3 is  A = 3

The period is used to find B

You need to show period value as the denominator and work out from there with 2PI as a function numerator to show as 2pi / period can be a data angle

C is the adding value.

Acos (Bx) + C

A = 3

Bx =  2 pi / period

C = + 2

However f 2 is also the period found

then we just plug in 2 to above formula

f(x) = 3 cos  (2Pi / 2 ; x  )+ 2

f(x) = 3cos (x pi) + 2

6 0
2 years ago
-f+2+4f=8-3f−f+2+4f=8−3f
Anna11 [10]

Answer:

Step-by-step explanation:

Merge the Like variables/terms together

3f+2=10=8-3f

Get F on one side

6f+2=10=8

Sub 2

8 0
3 years ago
Tell whether each statement about the fraction 5/9 is correct. Choose yes or no
lions [1.4K]

B and C are correct, A and D are incorrect

5 0
3 years ago
"A study conducted at a certain college shows that 56% of the school's graduates find a job in their chosen field within a year
KiRa [710]

Answer:

99.27% probability that among 6 randomly selected graduates, at least one finds a job in his or her chosen field within a year of graduating.

Step-by-step explanation:

For each student, there are only two possible outcomes. Either they find a job in their chosen field within one year of graduating, or they do not. The probability of a student finding a job in their chosen field within one year of graduating is independent of other students. 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.

56% of the school's graduates find a job in their chosen field within a year after graduation.

This means that p = 0.56

Find the probability that among 6 randomly selected graduates, at least one finds a job in his or her chosen field within a year of graduating.

This is P(X \geq 1) when n = 6.

Either none find a job, or at least one does. The sum of the probabilities of these events is decimal 1. So

P(X = 0) + P(X \geq 1) = 1

P(X \geq 1) = 1 - P(X = 0)

In which

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

P(X = 0) = C_{6,0}.(0.56)^{0}.(0.44)^{6} = 0.0073

P(X \geq 1) = 1 - P(X = 0) = 1 - 0.0073 = 0.9927

99.27% probability that among 6 randomly selected graduates, at least one finds a job in his or her chosen field within a year of graduating.

8 0
3 years ago
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