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gladu [14]
3 years ago
15

The math club sold roses and tulips this year for Valentine's day. The number of roses sold was 8 more and 4 times the number of

tulips sold. Tulips were sold for $2 each and roses for $5 each. The club made $414.00. How many roses were sold?
Mathematics
2 answers:
Kipish [7]3 years ago
5 0

Answer: 76 roses were sold.

Step-by-step explanation:

Let x represent the number of tulips that the math club sold.

Let y represent the number of roses that the math club sold.

The number of roses sold was 8 more than 4 times the number of tulips sold. This means that

y = 4x + 8

Tulips were sold for $2 each and roses for $5 each. The club made $414.00. This means that

2x + 5y = 414- - - - - - - - - 1

Substituting y = 4x + 8 into equation 1, it becomes

2x + 5(4x + 8) = 414

2x + 20x + 40 = 414

22x = 414 - 40

22x = 374

x = 374/22

x = 17

y = 4x + 8 = 4 × 17 + 8

y = 76

Nonamiya [84]3 years ago
4 0

Answer: 76 roses were sold

Step-by-step explanation:

Let Rose be R, and Tulip be T

From the question, 2 equations were generated:

4T + 8 = R....equation 1

On the cost of Rose and Tulip:

5R + 2T = 414.....equation 2

Substitute equation 1 into 2

5( 4T + 8) + 2T = 414

20T + 40 + 2T = 414

Combine like terms

20T + 2T = 414 - 40

22T = 374

Divide both sides by 22 to get T

T= 374/22

T= 17

now that we have T, substitute T into equation 1 to get R

4 (17) + 8 = R

68 + 8 = 76

R= 76

Check:

76 roses at $5 = $380

17 tulips at $2 = $34

Roses + Tulip = $414

I hope this helps.

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I will upvote and give brainliest answer
zloy xaker [14]

Answer:

x=17

Step-by-step explanation

i just did the exact same question on a test and got it right .

6 0
3 years ago
If the first step in the solution of the equation 2x - 8 = 5x + 3 is "subtract 2x," then in the form of a paragraph, explain in
monitta

x = \frac{-11}{3}

<u>Step-by-step explanation:</u>

Here we have , If the first step in the solution of the equation 2x - 8 = 5x + 3 is "subtract 2x," then in the form of a paragraph, explain in complete sentences the next steps necessary to completely solve the equation for x. Let's solve this :

2x - 8 = 5x + 3

⇒ 2x - 8 = 5x + 3

⇒ (2x - 8)-2x = (5x + 3)-2x { subtract 2x from both side }

⇒ 0 - 8 = 5x-2x + 3

⇒ - 8 = 3x + 3

⇒ - 8 -3= 3x + 3-3 { subtract 3 from both sides }

⇒ - 11 = 3x + 0

⇒ - 11 = 3x

⇒ \frac{-11}{3}  = \frac{3}{3} x { divide 3 from both sides }

⇒ x = \frac{-11}{3}

3 0
3 years ago
4.<br> Which point on the number line<br> represents 0.3?
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Answer:

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Step-by-step explanation:

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5 0
2 years ago
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shepuryov [24]
Easiest ways to solve them are to take the denominator and numerator and and divide the one you are asked to use to answer and divide and see if it works on both. 
  Example: first     105 / 15 = 7 )  Then: 105 / 7 = 15
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Hope I helped. :D

8 0
2 years ago
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Which expression is equivalent to the quantity five raised to the negative second power times three raised to the fifth power en
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The equivalent expression is 5^(4) * 3^(-10)

<h3>How to determine the equivalent expression?</h3>

The statement is given as:

five raised to the negative second power times three raised to the fifth power end quantity all raised to the negative second power

Rewrite properly as:

(5^-2 * 3^5)^-2

Expand the expression by multiplying the exponents

So, we have:

5^(-2 -2) * 3^(5 *-2)

Evaluate the products

5^(4) * 3^(-10)

Hence, the equivalent expression is 5^(4) * 3^(-10)

Read more about expression at

brainly.com/question/723406

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