Answer:
a)1 cup of flour
b)67.5 minutes
Step-by-step explanation:
a) A recipe requires 3 cups of flour to make 27 dinner rolls. How much flour is needed to make 9 rolls?
From the above question, we know that:
27 dinner rolls = 3 cups of flour
9 dinner rolls = x
Cross Multiply
27 rolls × x = 9 rolls × 3 cups
x = 9 rolls × 3 cups/27 rolls
x = 1 cup of flour
Hence, 1 cup of flour is needed to make 9 dinner rolls
b) Mandy runs 4 km in 18 min. She plans to run in a 15 km race. How long will it take her to complete the race?
From the above question:
4 km = 18 minutes
15km = x
Cross Multiply
4km × x = 15km × 18 minutes
x = 15km × 18minutes/4km
x = 67.5 minutes
Hence, in a 15km race , it would take her 67.5 minutes to complete her race.
Answer:
We conclude that:
Step-by-step explanation:
Given the expression
Least Common Multiple of x+4, x+6: (x+4) (x+6)
Adjusting fractions based on the LCM
since the denominators are equal, combine the fractions:
so the expression becomes
simplify
Therefore, we conclude that:
70% of 40 is 28 for summer, 10% of 40 is 4 for winter, 5% of 40 for fall is 2 and the rest, being 15% is 5 people who voted spring. From smallest to largest, it is fall, winter, spring and summer.
1/5×m+2/3-2=m-2/5
Multiply both sides by 15:
3m+10-30=15m-6
12m=14
m=14/12
m=1.16
Answer:
10 and 14
Step-by-step explanation:
Let the first number be x and the second number be y, then
x + 18 = 2y → (1)
y + 16 = 3x → (2)
Rearrange (1) expressing x in terms of y by subtracting 18 from both sides
x = 2y - 18 → (3)
Substitute x = 2y - 18 into (2)
y + 16 = 3(2y - 18) ← distribute
y + 16 = 6y - 54 ( subtract 6y from both sides )
- 5y + 16 = - 54 ( subtract 16 from both sides )
- 5y = - 70 ( divide both sides by - 5 )
y = 14
Substitute y = 14 into (3) for corresponding value of x
x = (2 × 14) - 18 = 28 - 18 = 10
The 2 numbers are 10 and 14