He can make 3 batches of soup.
Starting with 10 pounds of tomatoes and taking out the number of pounds he sets aside for spaghetti sauce, 2.8, we have:
10-2.8 = 7.2 pounds left.
0.2 is read as "two tenths," so 7.2 = 7 2/10
We divide this remaining number of pounds by 2 2/5 for each batch of soup:
7 2/10 ÷ 2 2/5
Convert each to an improper fraction:
72/10 ÷ 12/5
Multiply by the reciprocal:
72/10 × 5/12 = 360/120 = 3
Answer:
Step-by-step explanation:
Assuming a normal distribution for the distribution of the points scored by students in the exam, the formula for normal distribution is expressed as
z = (x - u)/s
Where
x = points scored by students
u = mean score
s = standard deviation
From the information given,
u = 70 points
s = 10.
We want to find the probability of students scored between 40 points and 100 points. It is expressed as
P(40 lesser than x lesser than or equal to 100)
For x = 40,
z = (40 - 70)/10 =-3.0
Looking at the normal distribution table, the corresponding z score is 0.0135
For x = 100,
z = (100 - 70)/10 =3.0
Looking at the normal distribution table, the corresponding z score is 0.99865
P(40 lesser than x lesser than or equal to 100) = 0.99865 - 0.0135 = 0.98515
The percentage of students scored between 40 points and 100 points will be 0.986 × 100 = 98.4%
Answer:
width = 6
length = 4
Step-by-step explanation:
perimeter = 2L + 2W
L = W - 2
plug in perimeter:
20 = 2L + 2W
you know the length is 2 less than the width
plug in (w - 2) for L:
20 = 2(w - 2) + 2w
solve for w:
20 = 2w - 4 + 2w
20 = 4w - 4
4w = 24
w = 6
now plug in 6 for w in either equation, whichever is easier to solve:
L = 6 - 2
L = 4
width = 6
length = 4
Division word problems often ask you to split something evenly. You should solve this problem by dividing the total amount of ice cream by the amount you will serve each guest. After converting to fractions, 4.5 divided by .75. You will have enough to serve six guests, and no ice cream left over.
