Answer:
B. 6 1/4
Step-by-step explanation:
The computation of the more flour Nicholas needed for making the cake and cookies is shown below:
= 11.75 - 5.50
= 6.25 more cups of flour
Therefore to make the cookies and cakes, 6.25 more cups of flour is required or needed and the same is to be considered
hence, the correct option is B. 6 1/4
Answer:
x = 24
Step-by-step explanation:
ABCD is a parallelogram.
Angle B and Angle C are adjacent (successive) angles.
Adjacent angles of a parallelogram are supplementary.
Therefore,
Answer:
Both of the angles will add up to 180 degrees so let’s make an equation.
5x-5+2x+10=180
First we collect like terms
5x+2x-5+10=180
Add them up
7x+5=180
Move the constant to the right
7x=180-5
7x=175
7x/7=175/7
x=25
So yes it’s true x=25.
Now we find the respective angles,
5x-5
5(25)-5
125-5
120
So angle one is 120 degrees.
2x+10
2(25)+10
50+10
60
So angle two is 60 degrees.
Now to check,
120+60=180
Step-by-step explanation:
Answer: x+y = 40
We have a = 1, b = 1, c = 40
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Explanation:
x = number of nickels
y = number of quarters
The equation 0.05x+0.25y = 5 represents adding the values from the nickels and quarters
0.05x = value of just the nickels
0.25y = value of just the quarters
0.05x+0.25y = total value = 5 dollars
That's how that first equation was formed.
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Based on those x and y definitions above, we know that x+y = 40 because there are 40 coins of either nickels or quarters only. So the sum of the two coin counts must be 40 overall.
The equation x+y = 40 is the same as 1x+1y = 40. This equation is in the form ax+by = c where,
a = 1
b = 1
c = 40
Given that Teresa has a 5 out of 8 chance of making a profit, and an expected value of $1.50 in profit each turn, in the long run she has a better chance of making money than losing it.
Given that Teresa is playing a game of chance in which she tosses a dart into a rotating dartboard with 8 equal-sized slices numbered 1 through 8, and the dart lands on a numbered slice at random, and this game is this: Teresa tosses the dart once, and she wins $1 if the dart lands in slice 1, $3 if the dart lands in slice 2, $5 if the dart lands in slice 3, $8 if the dart lands in slice 4, and $10 if the dart lands in slice 5, but she loses $5 if the dart lands in slices 6, 7, or 8, to find the expected value of playing the game, and determine what can Teresa expect in the long run, after playing the game many times, she must perform the following calculation:
- (1 + 3 + 5 + 8 + 10 - 5 - 5 - 5) / 8 = X
- 12 / 8 = X
- 1.5 = X
Therefore, given that Teresa has a 5 out of 8 chance of making a profit, and an expected value of $1.50 in profit each turn, in the long run she has a better chance of making money than losing it.
Learn more about maths in brainly.com/question/15605256
