All categories

1 year ago

Today is Maria's birthday. She is 7 years old. How old is Maria in months?

Mathematics

2 answers:

Ymorist [56]1 year ago

7 0

Answer:

Maria is 84 months old.

Multiply the years(y) by every 12 months that pass(m).

$y * m = 84$

note that y is 7, and m is 12, because we count every 12 months that pass for 7 years.

Serggg [28]1 year ago

3 0

Answer:

84 months

Step-by-step explanation:

Maria is 7 years old, there are 12 months in a year, multiply 12 by 7.

12 * 7 = 84

Maria is 84 months old

You might be interested in

Solve the following simultaneous equations. 5x – 3y = 6 3x + 4y= 21

ehidna [41]

Answer:

y = 3, x = 3

Step-by-step explanation:

5x – 3y = 6

5x = 6 + 3y

x = (6 + 3y)/5

3x + 4y= 21

3x = 21 - 4y

x = (21-4y)/3

Using simultaneous equations:

(21-4y)/3 = (6 + 3y)/5

--> 105-20y = 18 + 9y

29y = 87

y = 3

x = (6 + 3(3))/5 = 3

3 0

2 years ago

How many times does 3/8 go into 3/16

Natasha_Volkova [10]

Answer:

0.5

Step-by-step explanation:

4 0

3 years ago

A piece of paper is to display ~128~ 128 space, 128, space square inches of text. If there are to be one-inch margins on both si

Grace [21]

Answer:

The dimensions of the smallest piece that can be used are: 10 by 20 and the area is 200 square inches

Step-by-step explanation:

We have that:

$Area = 128$

Let the dimension of the paper be x and y;

Such that:

$Length = x$

$Width = y$

So:

$Area = x * y$

Substitute 128 for Area

$128 = x * y$

Make x the subject

$x = \frac{128}{y}$

When 1 inch margin is at top and bottom

The length becomes:

$Length = x + 1 + 1$

$Length = x + 2$

When 2 inch margin is at both sides

The width becomes:

$Width = y + 2 + 2$

$Width = y + 4$

The New Area (A) is then calculated as:

$A = (x + 2) * (y + 4)$

Substitute $\frac{128}{y}$ for x

$A = (\frac{128}{y} + 2) * (y + 4)$

Open Brackets

$A = 128 + \frac{512}{y} + 2y + 8$

Collect Like Terms

$A = \frac{512}{y} + 2y + 8+128$

$A = \frac{512}{y} + 2y + 136$

$A= 512y^{-1} + 2y + 136$

To calculate the smallest possible value of y, we have to apply calculus.

Different A with respect to y

$A' = -512y^{-2} + 2$

Set

$A' = 0$

This gives:

$0 = -512y^{-2} + 2$

Collect Like Terms

$512y^{-2} = 2$

Multiply through by $y^2$

$y^2 * 512y^{-2} = 2 * y^2$

$512 = 2y^2$

Divide through by 2

$256=y^2$

Take square roots of both sides

$\sqrt{256=y^2$

$16=y$

$y = 16$

Recall that:

$x = \frac{128}{y}$

$x = \frac{128}{16}$

$x = 8$

Recall that the new dimensions are:

$Length = x + 2$

$Width = y + 4$

So:

$Length = 8 + 2$

$Length = 10$

$Width = 16 + 4$

$Width = 20$

To double-check;

Differentiate A'

$A' = -512y^{-2} + 2$

$A" = -2 * -512y^{-3}$

$A" = 1024y^{-3}$

$A" = \frac{1024}{y^3}$

The above value is:

$A" = \frac{1024}{y^3} > 0$

This means that the calculated values are at minimum.

Hence, the dimensions of the smallest piece that can be used are: 10 by 20 and the area is 200 square inches

3 0

2 years ago

The shaded triangle is set inside a pentagon. What type of triangle is the shaded triangle?

SpyIntel [72]

That is a right angled triangle

5 0

3 years ago

Read 2 more answers

3( x + 4y + 6) - 2(x + 8y + 3).

ser-zykov [4K]

Answer:

x-4y+12

Step-by-step explanation:

4 0

2 years ago