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3 years ago

There are 12 coins ; dimes and quarters. The number of dimes is 2 more than the number of quarters.

Mathematics

1 answer:

galben [10]3 years ago

5 0

Answer:

D. $1.95

F. $3

Step-by-step explanation:

dimes: x + 2

quarters: x

x + 2 + x = 12

2x + 2 = 12

2x = 10

x = 5

dimes: x + 2 = 5 + 2 = 7

quarters: x = 5

Total value: (7 * .10) + (5 * .25) = $1.95

_____

dimes: x

quarters: 2x

x + 2x = 15

3x = 15

x = 5

dimes: x = 5

quarters: 2x = 2(5) = 10

Total value: (5 * .10) + (10 * .25) = $3

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Polygon CCC has an area of 404040 square units. K 2ennan drew a scaled version of Polygon CCC using a scale factor of \dfrac12 1

nikdorinn [45]

Answer:

Area of polygon D = 10 square units

Step-by-step explanation:

Given:

Polygon C has an area of 40 square units.

It is scaled with a scale factor of $\frac{1}2$ to form a new polygon D.

To find:

The area of polygon D = ?

Solution:

When any polygon is scaled to half, then all the sides of new polygon are half of the original polygon.

And the area becomes one-fourth of the original polygon.

Let us consider this by taking examples:

First of all, let us consider a right angled triangle with sides 6, 8 and 10 units.

Area of a right angled triangle is given by:

$A = \dfrac{1}{2} \times Base \times Height\\\Rightarrow A = \dfrac{1}{2} \times 6 \times 8 = 24\ sq\ units$

If scaled with a factor $\frac{1}{2}$ , the sides will be 3, 4 and 5.

New area, A':

$A' =\dfrac{1}{2} \times 3 \times 4 = 6\ sq\ units = \dfrac{1}4\times A$

i.e. Area becomes one fourth.

Let us consider a rectangle now.

Sides be 8 and 10 units.

Area of a rectangle, A = $Length \times Width$ = 8 $\times$ 10 = 80 sq units.

Now after scaling, the sides will be 4 and 5 units.

New Area, A' = 4 $\times$ 5 =20 sq units

So, $\bold{A' = \frac{1}4 \times A}$

Now, we can apply the same in the given question.

$\therefore$ Area of polygon D = $\bold{\frac{1}{4}}$ $\times$ Area of polygon C

Area of polygon D = $\bold{\frac{1}{4}}$ $\times$ 40 = 10 sq units

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3 years ago

I have a question if u hay that is 123 IBS and get 12ibs of anything you can thing of and get it to maybe change how it feels ho

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Two numbers, x and y, have a sum of 8 and a difference of –14. A. Write a system of equations that can be used to determine the

harina [27]

Answer:

The system is:

x + y = 8

x - y = -14

And the solution is:

x = -3

y = 11

Step-by-step explanation:

We have two numbers x and y, such that:

x + y = 8 (the sum is equal to 8)

x - y = -14 (the difference is equal to -14)

This is the system of equations we need to solve.

To solve the system, we first need to isolate one of the variables in one of the equations, I will isolate x in the first equation:

x = 8 - y

Now we can replace this in the other equation to get:

(8 - y) - y = -14

8 - 2*y = -14

8 + 14 = 2*y

22 = 2*y

22/2 = y

11 = y

Now we can replace this in the equation "x = 8 - y"

To get:

x = 8 - 11 = -3

Then the solution to the system is:

x = -3 and y = 11

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3 years ago

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shtirl [24]

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Which algebraic expression is equivalent to this expression?

algol13

Answer:

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Step-by-step explanation:

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4 years ago

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