Tracy solved the problem 299+399 in four different ways

Tom and David get their haircut at the barber shop on Saturdays.Tom gets his hair cut every 3 weeks. David gets his hair cut eve

MrMuchimi

Answer:

On Saturday, when 12 weeks passed

Step-by-step explanation:

Tom gets his hair cut every 3 weeks.

David gets his hair cut every 4 weeks.

Find the least common multiple of numbers 3 and 4:

$3=3\\ \\4=2\cdot 2\\ \\LCM(3,4)=3\cdot 2\cdot 2=12$

This means that Tom and David will get their hair cut on the same day at 12th week (if the first week when they started has number 0).

You can think in another way:

Tom gets his hair cut every 3 weeks. He got his hair cut after 3 weeks, after 6 weeks, after 9 weeks, after 12 weeks passed.

David gets his hair cut every 4 weeks. He got his hair cut after 4 weeks, after 8 weeks, after 12 weeks passed.

6 0

4 years ago

If a cow has a mass of 9 × 10^2

kotykmax [81]

Answer:

a) The blue whale has about 200 times more mass

Step-by-step explanation:

(blue whale mass)/(cow mass) = (1.8×10^5 kg)/(9×10^2 kg)

... = (1.8/9)×10^(5-2)

... = 0.2×10^3

... = 200

The blue whale has about 200 times as much mass as a cow.

5 0

3 years ago

Read 2 more answers

How many sets of 2/12 are in 9/12

Vinil7 [7]

We can solve this problem by dividing 9/12 by 2/12. We should do this because to find how many sets of something are in a number, the question is asking us to do division. Doing this, we get 9/12 * 12/2, giving us our answer of 4.5 sets of 2/12 in 9/12.

5 0

3 years ago

Sam and Mary collect marbles. “If you give me 5 marbles I’ll have twice as many as you.” said Sam to Mary.

ivann1987 [24]

Answer:

54 marbles

Step-by-step explanation:

The question is a word problem leading to a simultaneous equation

Let 'x' represent the initial number of marbles with Sam, and let 'y' represent the initial number of marbles with Mary,

If Mary gives Sam 5 marbles, we have;

x + 5 = 2 × (y - 5)...(1)

If Sam gives Mary 4 marbles, we get;

x - 4 = y + 4...(2)

From equation (1), we get;

x + 5 = 2 × (y - 5) = 2·y - 10

x = 2·y - 10 - 5 = 2·y - 15

x = 2·y - 15...(3)

From equation (2), we have;

x - 4 = y + 4

∴ x = y + 4 + 4 = y + 8

x = y + 8...(4)

Equating the two values of 'x' in equation (3), and equation (4), we get;

2·y - 15 = y + 8

2·y - y = 8 + 15 = 23

∴ y = 23

From equation (4), we get;

x = y + 8 = 23 + 8 = 31

x = 31

The total number of marbles they have altogether = x + y

However, x + y = 23 + 31 = 54

Therefore;

The total number of marbles they have altogether = 54 marbles.

7 0

3 years ago

There is 1/4 ounce of yeast in every 2 1/4 teaspoon of yeast. A recipe calls for 2 teaspoons of yeast. How many ounces of yeast

MrRissso [65]

1/4 ounce of yeast ... 2 1/4 teaspoons of yeast
x ounce of yeast = ? ... 2 teaspoons of yeast

If you would like to know how many ounces of yeast need to be in the recipe, you can calculate this using the following steps:

1/4 * 2 = x * 2 1/4
1/2 = x * 9/4 /*4/9
x = 1/2 * 4/9
x = 2/9

Result: 2/9 ounce of yeast needs to be in this recipe.

7 0

4 years ago