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3 years ago

10. A young child is 44 months old. Find the age of the baby in years as a mixed

Mathematics

2 answers:

viktelen [127]3 years ago

5 0

Step-by-step explanation:

44 month old

12 months=1 year

44÷12=3 2/3

3 2/3 years

love history [14]3 years ago

5 0

Answer: 3 2/3 years old = 44 months

Step-by-step explanation:

44/12 = 3 2/3

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A chemist has 10% and 40% solutions of acid available. How many liters of each solution should be mixed to obtain 120 liters of

kaheart [24]

Answer:

100 liters of 10% solution is used and 20 liters of 40% solution is used

Step-by-step explanation:

Let "X" amount of 10% solution is used. Then the amount of 40% solution used is equal to 120-X

Now

10% of X + 40% of (120-X) = 15% of 120

On solving the above equation, we get

$0.1 X + 0.4 (120-X) = 0.15 *120\\0.1 X + 48 -0.4X = 18\\0.3 X = 30\\X = 100$ liters

Amount of 40% solution used = 120 -X = 120-100 = 20 liters

100 liters of 10% solution is used and 20 liters of 40% solution is used

7 0

2 years ago

There are 4 times as many monkeys as elephants at the zoo. If the totAl number of monkeys and elephants is 35, how many monkeys

Tanya [424]

Let's call the number of elephants x.
x+4x=35
5x=35
x=7
So there are 7 elephants. There are four times as many monkeys.
7×4=28
There are 28 monkeys.

8 0

3 years ago

Read 2 more answers

Megan and her sister are planning their

Yuri [45]

Answer: y = 12.50x + 45

Step-by-step explanation:

if x is the number of hours and you pay $12.50 per hour then we can come up the expression 12.50x

You will be charge $45 as an initial fee so it will be 12.50x + 45 and that has to equal the total cost which is y.

y = 12.50x + 45

7 0

3 years ago

A street light is mounted at the top of a 15-ft-tall pole. A man 6 ft tall walks away from the pole with a speed of 4 ft/s along

mina [271]

Answer:

The tip of the man shadow moves at the rate of $\frac{20}{3} ft.sec$

Step-by-step explanation:

Let's draw a figure that describes the given situation.

Let "x" be the distance between the man and the pole and "y" be distance between the pole and man's shadows tip point.

Here it forms two similar triangles.

Let's find the distance "y" using proportion.

From the figure, we can form a proportion.

$\frac{y - x}{y} = \frac{6}{15}$

Cross multiplying, we get

15(y -x) = 6y

15y - 15x = 6y

15y - 6y = 15x

9y = 15x

y = $\frac{15x}{9\\} y = \frac{5x}{3}$

We need to find rate of change of the shadow. So we need to differentiate y with respect to the time (t).

$\frac{dy}{t} = \frac{5}{3} \frac{dx}{dt}$ ----(1)

We are given $\frac{dx}{dt} = 4 ft/sec$ . Plug in the equation (1), we get

$\frac{dy}{dt} = \frac{5}{3} *4 ft/sect\\= \frac{20}{3} ft/sec$

Here the distance between the man and the pole 45 ft does not need because we asked to find the how fast the shadow of the man moves.

7 0

3 years ago

There are 196 countries in the world. How many students must be enrolled in a university to guarantee that there are at least 20

cestrela7 [59]

Answer:

At least 39200 students.

Step-by-step explanation:

Given that there are 196 countries in the world, and each country would have at least 200 students in a university.

For each country to have at least 200 students in the university, then;

Number of students enrolled in the university = number of required students x number of countries

= 200 x 196

= 39200

At least, 39200 students must be enrolled in the university. Provided that the admission procedures are conditioned for the purpose.

3 0

3 years ago