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OverLord2011 [107]
3 years ago
5

Adam has 16.45 kg of flour,and he uses 6.4 kg to make hot cross buns. The remaining flour is exactly enough to make 15 batches o

f scones. How much flour, on kg, will be in each batch of scomes?
Mathematics
2 answers:
suter [353]3 years ago
8 0
16.45 - 6.4 = 10.05

10.05 / 15 = 0.67 kg in each batch
rewona [7]3 years ago
5 0

If Adam has 16.45 kg of flour and he uses 6.4 kg to make hot cross buns, then he has left

16.45 - 6.4 = 10.05 kg of flour.

If Adam wants to use the remaining flour to make 15 batches of scones, then each batch of scones requires

10.05 : 15 = 0.67 kg of flour.

Answer: each batch of scones requires 0.67 kg of flour.

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A cyclist estimates that he will bike 80 miles this week. He actually bikes 75.5 miles. What is the percent error of the cyclist
maw [93]

Answer:

<em>The percent error of the cyclist's estimate is 5.63%</em>

Step-by-step explanation:

<u>Percentages</u>

The cyclist estimates he will bike 80 miles this week, but he really bikes 75.5 miles.

The error of his estimate in miles can be calculated as the difference between his estimate and the real outcome:

Error = 80 miles - 75.5 miles = 4.5 miles

To calculate the error as a percent, we divide that quantity by the original estimate and multiply by 100%:

Error% = 4.5 / 80 * 100 = 5.625%

Rounding to the nearest hundredth:

The percent error of the cyclist's estimate is 5.63%

5 0
2 years ago
There are 7 males and 5 females and we need to select 4 different people. how many ways can we select 4 people?
saul85 [17]

\displaystyle \binom{12}{4}=\dfrac{12!}{4!8!}=\dfrac{9\cdot10\cdot11\cdot12}{2\cdot3\cdot4}=495

5 0
3 years ago
Find a b if a = (4,3) and b =(4,5).<br> a. 31<br> C. (16,15)<br> b. (8,8)<br> d.-1
liq [111]
Your answer will be c
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3 years ago
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at old oak farm, there are chicken and horses. there are 120 legs and 48 heads altogether. how many horses and how many chickens
Karolina [17]

Answer:

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2 years ago
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Suppose that in a senior college class of 500 students itis found that 210 smoke, 258 drink alcoholic beverages, 216 eatbetween
Katarina [22]

Answer:

a)Smoke but doesn't drink alcoholic beverages

P=0.176  or 17.6%

b)eats between meals and drinks alcoholic beverages but doesn't smoke

P=0.062  or 6.2%

c.) neither smokes nor eats between meals

P=0.342  or 34.2%

Step-by-step explanation:

Using a Venn diagram with three circles, one for each bad health habit. Let us a for the students that only smoke, b for only drink alcoholic beverages, and c for only eat between meals. Following this logic, d represents smoke and drink alcoholic beverages but not eat between meals,  e drink alcoholic beverages and eat between meals but not smoke,f eat between meals and smoke but not drink alcoholic beverages. Finally g for having all the three, this means g=52.

To find f, subtract 52 (the three problems) from 97 because this last number represents all the students that smoke and eat between meals, including the students that have the three bad habits. The same goes for 'd' and 'e'.

f=97-52=45

e=83-52=31

d=122-52=70

To find a, subtract e, f, and g from the total of smokers. This is because e, f, and g represent smoke and at least another bad habit and a represents only smoking.

a=210-d-f-g=210-70-45-52=43

The same goes for b and c.

b=258-d-e-g=258-70-31-52=105

c=216-e-f.-g=216-31-45-52=88

Adding all letters and subtract from the total to see if there is any healthy student:

500-a+b+c+d+e+f+g =500-43+105+88+70+31+45+52=500- 434=66

a)Smoke but doesn't drink alcoholic beverages

This will be 'a' (only smokes) and 'f'  ( smokes and eats between meals but doesn't drink) divided by the total of students.

P=(43+45)/500=0.176

b)eats between meals and drinks alcoholic beverages but doesn't smoke

This probability is 'e' divided by the total of students.

P=31/500=0.062

c.) neither smokes nor eats between meals

This will be 'b' (only drinks) plus the healthy students (66) divided by the total of students.

P=(105+66)/500=0.342

5 0
3 years ago
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