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Illusion [34]
2 years ago
11

Dee has at most $150 to spend on restocking dolls and trains at her toy store. Dolls cost $7.50, and trains cost $5.00. Dee need

s no more than 10 trains, and at least 8 dolls. What is the system of inequality to represent this situation?
Mathematics
1 answer:
mamaluj [8]2 years ago
8 0

10x 5 = $50

8x 7.50= $60

50 + 60 equals 110

theres 40 left so you could keep the 40 or buy 5 more dolls or 8 more trains

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6 1/4 as a mixed number
Debora [2.8K]
The correct answer would be 6 1/4 and as an improper fraction it would be 25/4
6 0
2 years ago
Read 2 more answers
A candy company claims that 25% of the candies in its bags are colored green. Steve buys 32 bags of 32 candies, randomly selects
Luden [163]

Answer:

45.88%

Step-by-step explanation:

We have in this case a binomial distribution when p = 0.25, since the probability is 25%

. The formula that we will use in excel is BINOM.DIST, separated by commas we must put the value of x, n, p and also if it is true or false. We know that n equals 32.

In this case we need to know when x = 7, 8 and 9 and add this, and thus we will obtain the probability:

P (X = 7) + P (X = 8) + P (X = 9)

Excel formulas: = BINOM.DIST (7,32,0.25, FALSE) + BINOM.DIST (8,32,0.25, FALSE) + BINOM.DIST (9,32,0.25, FALSE)

P = 0.1546 + 0.1610 + 0.1431

P = 0.4588

Probability that steve agrees with the company's claim 45.88%

4 0
2 years ago
Farmer frank owns a piece of grassland. The grass grows at a constant rate and each cow eats at a constant rate. 12 cows can eat
MrRa [10]

Answer: There are 36 cows that can eaten 72 acres of grass in 126 days.

Step-by-step explanation:

Let x be the amount of grass in an acre initially.

Let y be the amount of grass grown in an acre per day.

Since we have given that

12 cows can eat 10 acres of grass in 28 days

12×28  = 10x + 10×28 y

336 = 10x + 280 y----------------------------(1)

Similarly,

21 cows can eat 30 acres of grass in 63 days.

21×63  = 30x + 30×63 y

1323 = 30x +1890 y ---------------------------(2)

So, by graphing method, we get the value of x and y

x=\dfrac{126}{5},\ y=\dfrac{3}{10}

So, we have,  72 acres of grass in 126 days, we need to find the number of cows.

So, it becomes,

c×126 = 72x + 72×126 y

126c=72\times \dfrac{126}{5}+72\times 126\times \dfrac{3}{10}\\\\126x=4536\\\\x=\dfrac{4536}{126}\\\\x=36

Hence, there are 36 cows that can eaten 72 acres of grass in 126 days.

3 0
2 years ago
A city determines that a planned community must have at least 4 acres of developed and open space, and the difference
FinnZ [79.3K]

Answer:

The graph in the attached figure

Step-by-step explanation:

Let

x ----->  the number of open acres

y ---->  the number of developed acres

we know that

x+y \geq 4 -----> inequality A

x\leq 1 ----> inequality B

Remember that

if the number of open acres, x, can be no more than 1. then the number of open acres, x must be less than or equal to 1

Solve the system of equations by graphing

The solution is the shaded area (Note The number of acres cannot be a negative number)

The graph in the attached figure

3 0
2 years ago
Tricia got a 6% raise on her weekly salary. The raise was $30 per week. What was her original salary?
charle [14.2K]
Her original salary was $500
5 0
2 years ago
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