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Svet_ta [14]
3 years ago
7

Cindy plans to shop for her school supplies and wants to know how much money she would need to spend. from her friend she knows

that buying 4 notebooks and 3 binders would cost $23.5, and 7 notebooks and 6 binders would cost $44.5. Cindy plans to buy 5 notebooks and 2 binders. How much would that cost?
Mathematics
1 answer:
vlabodo [156]3 years ago
4 0

Let the cost of 1 notebook be x and the cost of 1 binder be y.

4 notebooks and 3 binders would cost 23.5

Therefore, 4x + 3y = 23.5     (1)

7 notebooks and 6 binders would cost 44.5

Therefore, 7x + 6y = 44.5     (2)

Multiply the first equation by 2.

8x + 6y = 47     (3)

(3) - (2) gives

x = 2.5

Substitute the value of x in (1), we get,

4(2.5) + 3y = 23.5

10 + 3y = 23.5

3y = 23.5 - 10

3y = 13.5

y = 13.5/3

y = 4.5

Hence, cost of 5 notebooks and 3 binders is:

5x + 3y = 5(2.5) + 3(4.5)

           = 12.5 + 13.5

           = 26

Hence, cost of 5 notebooks and 3 binders is $26.

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2:3:1....added = 6

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1/6(72) = 72/6 = 12

ratio is now 24:36:12
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3 years ago
5x 2 1/8<br> Can you explain please
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Answer:It is in the DMAS rule

Step-by-step explanation:5*21/8

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8 0
3 years ago
Sample Work Help Needed! Please answer these questions and show the steps used to solve them. NO DECIMAL ANSWERS (except on thre
anygoal [31]

1. Using the exponent rule (a^b)·(a^c) = a^(b+c) ...

\left(-2x^3y^4\right)\left(5x^9y^{-2}\right)=(-2)(5)\left(x^{(3+9)}y^{(4-2)}\right)\\\\=-10x^{12}y^{2}

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8 \left(32\times 10^{11}\right)=(8)(32)\times 10^{11}=256\times 10^{11}=2.56\times 10^{13}

3. The distributive property is useful for this.

(3x – 1)(5x + 4) = (3x)(5x + 4) – 1(5x + 4)

... = 15x² +12x – 5x –4

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4. Look for factors of 8·(-3) = -24 that add to give 2, the x-coefficient.

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8 0
3 years ago
Production times are evenly distributed between 8 and 15.8 minutes and production times are never outside of this interval. What
dezoksy [38]

Answer:

29.49% probability that a production time is between 9.7 and 12 minutes

Step-by-step explanation:

An uniform probability is a case of probability in which each outcome is equally as likely.

For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.

The probability that we find a value X between c and d, in which d is greater than c, is given by the following formula.

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5 0
3 years ago
Five less than twelve times a number is represented by:
Paraphin [41]

Option ( 1 )

.....................

.....................

.....................

5 0
3 years ago
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