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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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A commercial building contractor is trying to decide which of two projects to commit her company to. Project A will yield a prof
Alexxandr [17]

Answer:

  Project A: $55,000 Project B: $50,800 Contractor should choose project A

Step-by-step explanation:

The expected value of the project is the sum of products of profit and its probability:

In thousands, ...

  A:  (50×0.6) +(80×0.3) +(10×0.1) = 30 +24 +1 = 55 . . . thousand

  B:  (100×0.1) +(64×0.7) +(-20×0.2) = 10 +44.8 -4 = 50.8 . . . thousand

__

The contractor should choose Project A based on the expected value of profit.

3 0
3 years ago
You invested $10,000 into two accounts: one that has a simple 3% interest, the other with 2.5% interest. If your total interest
artcher [175]

Answer:

3300 was on 3% and 6700 on 2,5%

Step-by-step explanation:

We can say that 'a' represents the price that will go on 3% interest and 'b' 2,5% interest.

Therefore;

a + b = 10 000

And

0,03a + 0,025b = 283.5 (0,03 means 3% etc)

You can move 'b' to the other side to leave 'a' on the LHS

0,03a = 283.5 - 0,025b - - > (divide both sides by 0,03)

a=9450 - 0,8333b

Substitute this equation as 'a' in the first equation to get:

9450 - 0,8333b + b = 10 000 (move 9450 to the RHS to leave values with b on the LHS)

-0,8333b + b = 10 000 - 9450

0,1666b = 550 (divide both sides by 0,1666)

b = 3,300

Therefore 'a' will be :

a= 10 000 - 3 300

a = 6700

I hope this helps.

4 0
3 years ago
-(1/2)³ is equivalent to?​
Brut [27]

Answer:

-0.125

Step-by-step explanation:

- Im learning about this , so im not really sure

5 0
3 years ago
HELP ASAP solve the equation using the properties of equality.<br><br><br>89= -5d+9
sergey [27]

Answer:

d = -16

Step-by-step explanation:

Step 1: Write equation

89 = -5d + 9

Step 2: Solve for <em>d</em>

<u>Subtract 9 on both sides:</u> 80 = -5d

<u>Divide both sides by -5:</u> -16 = d

Step 3: Check

<em>Plug in x to verify if it's a solution.</em>

89 = -5(-16) + 9

89 = 80 + 9

89 = 89

8 0
3 years ago
Please help! posted picture of question
Vesnalui [34]
The answer would be

y = 4x -14


y +2 = 4(x-3)

y+2 = 4x -12

y  = 4x -12 -2

y  = 4x -14    (slope intercept form)

3 0
3 years ago
Read 2 more answers
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