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AysviL [449]
3 years ago
10

Sapphire and Trinity are shopping for school clothes. Sapphire has $50 and a coupon for a $10 discount at a boutique where each

shirt costs $12. Sapphire thinks that she can buy three shirts, but Trinity says that Sapphire can buy five shirts. The equations they used to model the problem are listed below. Solve each equation algebraically, and determine who is correct and why. Susan’s Equation 12x + 10 = 50 Bonnie’s Equation 12x − 10 = 50
Mathematics
1 answer:
Minchanka [31]3 years ago
6 0

Answer:

susan's: 10/3

Bonnie's:5

Step-by-step explanation:

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The archway of the main entrance of a university is modeled by the quadratic equation
Scilla [17]

Answer:

B. (1,5) and (5.25, 3.94)

Step-by-step explanation:

The answer is where the 2 equations intersect.

We need to solve the following system of equations:

y = -x^2 + 6x

4y = 21 - x

From the second equation:

x = 21 - 4y

Plug this into the first equation:

y = -(21 - 4y)^2 + 6(21 - 4y)

y = -(441 - 168y + 16y^2)+  126 - 24y

y = -441 + 168y - 16y^2 +  126 - 24y

16y^2 + y - 168y + 24y + 441 - 126 = 0

16y^2 - 143y + 315 = 0

y = [-(-143) +/- sqrt ((-143)^2 - 4 * 16 * 315)]/ (2*16)

y = 5, 3.938

When y = 5:

x = 21 - 4(5) = 1

When y = 3.938

x = 21 - 4(3.938) = 5.25.

3 0
3 years ago
By the literal surface of the triangular prism 90 in2 110 in2 120 in2 130 in2
Sergio039 [100]

Answer:

3

Step-by-step explanation:

Your answer is 3

8 0
2 years ago
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The number of years of education of self-employed individuals in the united states has a population mean of 13.6 years and a pop
muminat

Answer:

0.3 years

Step-by-step explanation:

With problems like these, I always like to start by breaking down the information into smaller pieces.

μ = 13.6

σ = 3.0

Survey of 100 self-employed people

(random variable) X = # of years of education

So now we have some notation, where μ represents population mean and σ represents population standard deviation. Hopefully, you already know that the sample mean of x-bar is the same as the population mean, so x-bar = 13.6. Now, the question asks us what the standard deviation is. Since the sample here is random, we can use the Central Limit Theorem, which allows us to guess that a distribution will be approximately normal for large sample sizes (that is, n ≥ 30). In this case, our sample size is 100, so that is satisfied. We're also told our sample is random, so we're good there, too. Now all we have to do is plug some stuff in.

The Central Limit Theorem says that for large values of n, x-bar follows an approximately normal distribution with sample mean = μ and sample standard deviation = σ/√n. So, with that info, all we need to do to find the standard deviation of x-bar is to plug our σ and n into the above formula.

σ(x-bar) = σ/√n

σ(x-bar) = 3.0/√100

σ(x-bar) = 0.3

So your answer here is .3 years.

7 0
3 years ago
Convert 8 miles into feet and then into inches.
Orlov [11]

Answer:

5,280 * 8 = 42,240

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Step-by-step explanation:

5 0
3 years ago
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Ludmilka [50]

Answer:x>-1

Step-by-step explanation:

8 0
3 years ago
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