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Alex_Xolod [135]

3 years ago

15

Martha has 25 coins in her purse some of these coins are nickels and the rest are quarters if the total value of the coins she s

aved is $3.65 determine the number of nickels in her purse

1 answer:

Alexxandr [17]3 years ago

5 0

In this situation, quarters can only take you as far as $3.50. After that, three nickels will get you up to $3.65.

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The local florist never has more than a combined total of 40 daisy and carnation bouquets and never more than 12 carnation bouqu

Marrrta [24]

The system of inequalities that represents this situation are

x + y ≤ 40 and x ≤ 12.

Here, x = Number of carnation bouquets

y = Number of daisy bouquets

From the system of inequalities,

In the first case.

The local florist has never more than a combined total of 40 daisy bouquets, so according to this statement the following equation will be:

x + y ≤ 40.

Again in the second case.

The local florist has never more than a 12 carnation bouquets, so according to this statement the following equation will be:

x ≤ 12.

Therefore, the system of inequalities that represents this situation are

x + y ≤ 40 and x ≤ 12.

Learn more about system of inequalities here -

https://brainly.ph/question/9662691

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8 0

1 year ago

A customer wants to tile their sunroom using 12" x24" tile which comes 9 pieces to a box the room is 8' by 9'6" calculate how ma

AysviL [449]

The number of pieces The customer will need actually is 38 tiles

The number of tiles in boxes the customer will buy is 45 tiles

Step-by-step explanation:

To solve the problem we will do these steps

1. Change the dimensions of the room from feet to inches

2. Calculate the area of the room

3. Calculate the area of one tile

4. Divide the area of the room by the area of the tile to find the number

of tills

5. Divide the number of tiles by the number of pieces in one box

to find the number of boxes he will need to buy

∵ The dimensions of the room are 8 feet by 9 feet 6 inches

∵ 1 foot = 12 inches

∴ 8 feet = 8 × 12 = 96 inches

∴ 9 feet 6 inches = 9 × 12 + 6 = 108 + 6 = 114 inches

∴ The dimensions of the sun room are 96" by 114"

The area of a rectangle is length × width

∵ Area of the room = 96 × 114 = 10944 inches²

∵ The dimensions of a tile are 12" by 24"

∴ Area of a tile = 12 × 24 = 288 inches²

∵ The number of tiles = Area room ÷ area tile

∴ The number of tiles = 10944 ÷ 288 = 38 tiles

<em>The number of pieces The customer will need is 38 tiles</em>

<u><em>V.I.N:</em></u>

The tiles come in boxes each box contains 9 pieces

∵ 38 ÷ 9 = 4.22

∴ He will need to buy 5 boxes with 45 tiles

<em>The number of tiles in boxes is 45 tiles</em>

Learn more:

You can learn more about the area of some figures in brainly.com/question/4459688

brainly.com/question/4354581

#LearnwithBrainly

4 0

3 years ago

I need help dont have a lot of time left

Nikolay [14]

Answer:

125 g

Step-by-step explanation:

mg is so little for an orange and kg is too large

so answer is 125 g.

3 0

3 years ago

Read 2 more answers

Log x - log x -1² = 2log(x-1)

kap26 [50]

Answer:

Exact form

x= $\sqrt{10$ /10 + 1

Decimal

x=1.31622776

Step-by-step explanation:

8 0

2 years ago

B: Alex is 12 years older than George.

UkoKoshka [18]

Answer:

The ratio of George age to Carl's age is 1:12.

Step-by-step explanation:

Let the age of George be 'g'.

Let the age of Alex be 'a'.

Also Let the age of Carl be 'c'.

Given:

The sum of their ages is 68.

So equation can be framed as;

$g+a+c=68 \ \ \ \ equation 1$

Also Given:

Alex is 12 years older than George.

So equation can be framed as;

$a =g+12 \ \ \ \ equation \ 2$

Now Given:

Carl is three times older than Alex.

$c=3a$

But $a =g+12$

So we get;

$c = 3(g+12) \\\\c= 3g+36 \ \ \ \ equation \ 3$

Now Substituting equation 2 and equation 3 in equation 1 we get;

$g+a+c=68\\\\g+g+12+3g+36=68\\\\5g+48=68$

Subtracting both side by 48 using subtraction property of equality we get;

$5g+48-48=68-48\\\\5g=20$

Now Dividing both side by 5 using Division property of equality we get;

$\frac{5g}{5}=\frac{20}{5}\\\\g =4$

Hence George age $g = 4 \ years$

Now Alex age $a=g+12 = 4+12 =16\ years$

Also Carl's age $c=3g+36=3\times 4+36 =12+36 =48\ years$

Now we need to find the ratio of George age to Carl's age.

$\frac{g}{c}=\frac{4}{48} = \frac{1}{12}$

Hence the ratio of George age to Carl's age is 1:12.

3 0

3 years ago