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xxMikexx [17]
3 years ago
11

A flower arrangement has 8 carnations for every 4 roses. There are 14 carnations. How many roses are in the arrangement?

Mathematics
1 answer:
soldier1979 [14.2K]3 years ago
6 0

Answer:

There are 7 roses

Step-by-step explanation:

<u>Step 1:  Find the ratio</u>

8 : 4

(8/4) : (4/4)

2 : 1

There are 2 carnations for every rose.

<u>Step 2:  Find the amount of roses</u>

7 * 2 : 7 * 1

14 : <u>7</u>

Answer:  There are 7 roses

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1/4x – 2 = 3/8 Please show an equation and work. :)
Julli [10]
1/4x - 2 = 3/8

First, to start solving this, we can rearrange our fraction. Let's take 1/4x and change it to x/4. Why? Well, a variable can also be considered as the number 1.
\frac{x}{4} - 2 =  \frac{3}{8}

Second, now we can continue solving for our variable (x). Let's add 2 to each side.
\frac{x}{4} =  \frac{3}{8} + 2

Third, let's simplify 3/8 + 2. (3/8 + 2 = 2.375 =19/8)
\frac{x}{4} =  \frac{19}{8}

Fourth, continue trying to get the variable by itself. Multiply each side by 4.
x =  \frac{19}{8} \times 4

Fifth, let's simplify 19/8 × 4. This is simple. Leave the denominator be and just do 19 × 4, which equals 76.
x =  \frac{76}{8}

Sixth, our final step is to simplify our fraction. To do so, we will need to list the factors of the numerator and denominator and find the greatest common factor (GCF).

Factors of 76: 1, 2, 4, 19, 38, 76
Factors of 8: 1, 2, 4, 8

Since 4 is our first common factor, it is considered our GCF.

Seventh, now let's divide. Divide both the numerator and denominator by the GCF (4) to create our new simplified fraction.
76 \div 4 = 19 \\ 8 \div 4 = 2

Answer in fraction form: \fbox {x = 19/2}
Answer in decimal form: \fbox {x = 9.5}
8 0
3 years ago
Combine like terms to create an equivalent expression: -n + (-4) - (-4n) + 6
Taya2010 [7]

Answer:

3n + 2

Step-by-step explanation:

-n + 4n -4 + 6

3n + 2

6 0
3 years ago
14+3x≤23<br> please help me
nignag [31]

Answer:

x≤3

Step-by-step explanation:

<em>Step one- This equation has 23 greater than or equal to sign. Which means It can be at most 23</em>

<em>Step two- Find out what times 3x+14=23 In this case the answer is 3.3 Is the biggest number that can be multiplied by 3, +14 to get to 23.</em>

<em>Step three-  Rewrite the Answer. Since we know that 3 is the highest numebr possible, we rewrite it to this equation</em>

<h3>x≤3</h3><h3>HOPE THIS HELPS :)</h3>
5 0
3 years ago
Clare is playing a game with her 4-year-old cousin. There are 100 game tiles in a bag. Each
-BARSIC- [3]

the answer of the question is :

200 games because the square root of 2 is 4

6 0
2 years ago
If y= 2x + 7 were changed to y = 5x+7, how would the graph of the new
Amanda [17]

Answer:

C is correct

Step-by-step explanation:

Comparing the to equation with slope intercept form: y=mx+c

The second equation has the greatest slope, which is indicating that the line is steeper.

4 0
3 years ago
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