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3 years ago

5

A microwave is placed on top of two boxes. One box is 4 feet 2 inches tall, the other box is 3 feet 5 inches tall, and the micro

wave is 2 feet 7 inches tall. How tall are they combined?

1 answer:

Ilya [14]3 years ago

8 0

10 ft. And 4 in. Hope this helps

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How to convert 2500mcg to mg

Volgvan

Answer:2500mcg would be 2.5mg

Step-by-step explanation:

1000mcg = 1mg so 2500mcg = 2.5mg

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3 years ago

A town has a population of 6000 and grows at 3.5% every year. To the nearest year, how long will it be until the population will

kotykmax [81]

Answer:

5 years.

Step-by-step explanation:

Every year the population increases by a factor 103.5% or 1.035.

The equation relating population and time in years is:

P = 6000(1.035)^t (This is an example of exponential growth)

So we have:

7100 = 6000(1.035)^t

(1.035)^t = 7100/6000

(1.035)^t = 1.1833

t ln 1.035 = ln 1.1833

t = ln 1.1833/ln 1.035

= 4.89.

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4 years ago

Why is it helpful to write numbers in different ways

Goshia [24]

You should write numbers in as many ways as you possibly can to make new connections in your brain. Knowing how to write numbers in many different ways can help you solve complex problems more easily. Doing this can also reinforce the mathematical principles and logic you have memorised.

Writing one in many different ways:

1=1/1=2/2=3/3=4/4=(-1)/(-1)=(-2)/(-2)

=1.0=1.00=1.000=(1/2)+(1/2)=(1/3)+(1/3)+(1/3)

=(1/4)+(1/4)+(1/4)+(1/4)

Writing a half in many different ways:

1/2=(1/4)+(1/4)=(1/6)+(1/6)+(1/6)

=(1/8)+(1/8)+(1/8)+(1/8)=4*(1/8)

=2/4=3/6=4/8=5/10=0.5=0.50

etc...etc...

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3 years ago

Two friends share 1/4 gallon of lemonade equally. What fraction of the gallon of lemonade does each friend get?

Lera25 [3.4K]

It can be 2/1 I think lol

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3 years ago

A mother has two children whose ages differ by 5 years. The sum of the squares of their ages is 97. The square of the mother's

svetoff [14.1K]

Answer:

41 years old.

Step-by-step explanation:

Let x represent age of younger child.

We have been given that a mother has two children whose ages differ by 5 years. So the age of older child would be $x+5$ .

The sum of the squares of their ages is 97. We can represent this information in an equation as:

$x^2+(x+5)^2=97$

Let us solve for x.

$x^2+x^2+10x+25=97$

$2x^2+10x+25-97=0$

$2x^2+10x-72=0$

Divide both sides by 2:

$x^2+5x-36=0$

$x^2+9x-4x-36=0$

$x(x+9)-4(x+9)=0$

$(x+9)(x-4)=0$

$(x+9)=0 ; (x-4)=0$

$x=-9 ; x=4$

Since age cannot be negative, therefore, age of younger child is 4 years.

Age of older child would be $x+5\Rightarrow4+5=9$

Therefore, the age of older child would be 9 years.

We have been given that the square of the mother's age can be found by writing the squares of the children's ages one after the other as a four-digit number.

Square of 4: $4^2=16$

Square of 9: $9^2=81$ .

Square of mother's age: $1681$

To find mother's age, we need to take positive square root of 1681 as:

$\sqrt{1681}=41$

Therefore, the mother is 41 years old.

4 0

3 years ago