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3 years ago

13

Monica uses 3 tablespoons of milk in her custard recipe. The ratio of tablespoons to fluid ounces is 2 : 1. How many fluid ounce

s of milk does Monica use?

1 answer:

Tanzania [10]3 years ago

5 0

Answer:

1 1/2 or 3/2

Step-by-step explanation:

If three tablespoons of milk is 2 times the amount of fluid ounces, then simply divide three by 2 and you will get one and a halve

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A and B are postive integers such that 1/a + 1/b +1/ab = 1. Find ab

Kitty [74]

Answer: ab =6

have:

$\frac{1}{a}+\frac{1}{b}+\frac{1}{ab}=1\\\\=>\frac{b}{ab}+\frac{a}{ab}+\frac{1}{ab}=1\\\\\frac{a+b+1}{ab}=1$

=> a + b + 1 = ab

⇔ a + b + 1 - ab = 0

⇔ b - 1 - a(b - 1) + 2 = 0

⇔ (b - 1)(1 - a) = -2

because a and b are postive integers => (b - 1) and (1 - a) also are integers

=> (b - 1) ∈ {-1; 1; 2; -2;}

(1 -a) ∈ {-1; 1; 2; -2;}

because (b -1).(1-a) = -2 => we have the table:

b - 1 -1 1 2 -2

1 - a 2 -2 -1 1

a -1 3 2 0

b 0 2 3 -1

a.b 0 6 6 0

because a and b are postive integers

=> (a;b) = (3;2) or (a;b) = (2;3)

=> ab = 6

Step-by-step explanation:

4 0

2 years ago

In a group of 15 children the ratio of the boy : the girl is 2: 3: 5 more girls join the group. Calculate the percentage of boys

marta [7]

Answer:

Percentage of new group boys = 30%

Percentage decrease for the boys = 10%

Increase percent of the girls = 10%

Step-by-step explanation:

Given:

Number of children = 15

Ratio (Boys to Girls) = 2 : 3

Number of more girls join = 5

Find:

Percentage of boys in new group

Percentage decrease for the boys

Increase percent of the girls

Computation:

Number of boys = 15[2/5]

Number of boys = 6

Number of girls = 15[3/5]

Number of girls = 9

Percentage of boys = [6 / 15]100

Percentage of boys = 40%

Percentage of girls = [9 / 15]100

Percentage of girls = 60%

New number of students = 15 + 5

New number of students = 20

New number of boys = 6

New number of girls = 9 + 5 = 14

Percentage of new group boys = [6 / 20]100

Percentage of new group boys = 30%

Percentage of new group girls = [14 / 20]100

Percentage of new group girls = 70%

Percentage decrease for the boys = 40% - 30%

Percentage decrease for the boys = 10%

Increase percent of the girls = 70% - 60%

Increase percent of the girls = 10%

8 0

3 years ago

The perimeter of square is 76 cm find are of square

Varvara68 [4.7K]

Answer:

Given the information above, the area of the square is 361 cm²

Step-by-step explanation:

A square is a shape with four equal sides. So, in order to find the area of the square, we must find the length of each individual side. We can do this by dividing the perimeter by 4 because a square has 4 equal sides meaning they have the same lengths.

The perimeter of the square is 76. So, let's divide 76 by 4.

76 ÷ 4 = 19

So, the lengths of each sides in the square is 19cm.

In order to find the area, we must multiply the length and the width together. Since a square has equal sides, then we will multiply 19 by 19 to get the area.

19 × 19 = 361

So, the area of the square is 361 cm²

3 0

3 years ago

Read 2 more answers

Atile factory earns money by charging a flat fee for delivery and a sales price of $0.25 per tile. One customer paid a

Vesnalui [34]

Answer: the first one is C

the second one is B

5 0

3 years ago

Why is math important in our daily life?

fredd [130]

~Hello there!

Your question: Why is math important in our daily life?

Your answer: Math is important is our daily lives because it has become mandatory. We use it in each and everywhere. Which ever field you are getting into, math is always used there. Math is used in our kitchen, banks, schools, everywhere! Just think for a moment, what would be the world like without math..?
How will the engineers construct building?
How will we get the grades for our examinations?
How will we get to know the score of a football match?
Math is used everywhere, thus, in today's century math is obligatory.

Any questions?

Happy Studying!

3 0

3 years ago