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USPshnik [31]
2 years ago
8

At a garden shop, a customer buys 5 geraniums and 4 lilies for $48. Another customer pays $58 for 4 geraniums and 6 lilies. Writ

e and solve system of equations to find the cost of one geranium and one lily
Mathematics
1 answer:
masha68 [24]2 years ago
7 0

Answer:

A lily costs $7 and a geranium $4.

Step-by-step explanation:

From the question, we can write two equations. let the number of lilies be l and the number of geraniums be g, then:

5 g + 4 l = 48

4 g + 6 l = 58

Multiply the first equation by 4 and the second by 5, the number of lilies in the other gives:

20 g + 16 l = 192

20 g + 30 l = 290

Subtract the first equation from the second gives:

14 l = 98  which dividing by 14 gives  l = 7

Substituting the value  l = 7  in the first equation gives:

5 g + 28 = 48

Subtract 20 from both sides gives:

5 g = 20  divide by 5 gives  g = 4

So, a lily costs $7 and a geranium costs $4.

You might be interested in
8) 7(p-6)= 8p - 34<br> any chance i can get the steps on how to solve this?
yan [13]

Answer:

Step-by-step explanation:

7(p-6)=8p-34

Distribute 7 into the parentheses on the Left Hand Side of the equation

7p-42=8p-34

get p together, so minus 7p on both sides

7p-7p-42=8p-7p-34

7p and -7p cancel out on L.H.S

-42=p-34

isolate p by adding 34 to both sides

-42+34=p-34+34

-34 and postitive 34 cancel out on the R.H.S

p=-8

Hope this helps! :)

8 0
3 years ago
Please help me answer this question. I have the answer but i don’t know how to get to it.
Aleksandr [31]

Answer:

what do you mean

Step-by-step explanation:

what do you mean

7 0
3 years ago
A line of a slope of 8 passes through the point (-6,4). What is its equation in point slope form?
kotykmax [81]

Answer:

\huge\boxed{y-4=8(x+6)}

Step-by-step explanation:

The equation of a line in the point-slope form:

y-y_1=m(x-x_1)

m-slope\\\\(x_1;\ y_1)-point

We have:

m=8\\\\(-6;\ 4)\to x_1=-6;\ y_1=4

Substitute:

y-4=8(x-(-6))\\\\y-4=8(x+6)

4 0
2 years ago
The National Center for Education Statistics reported that 47% of college students work to pay for tuition and living expenses.
Luden [163]

Using the z-distribution, it is found that the 95% confidence interval for the proportion of college students who work to pay for tuition and living expenses is: (0.4239, 0.5161).

If we had increased the confidence level, the margin of error also would have increased.

<h3>What is a confidence interval of proportions?</h3>

A confidence interval of proportions is given by:

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which:

  • \pi is the sample proportion.
  • z is the critical value.
  • n is the sample size.

In this problem, we have a 95% confidence level, hence\alpha = 0.95, z is the value of Z that has a p-value of \frac{1+0.95}{2} = 0.975, so the critical value is z = 1.96. Increasing the confidence level, z also increases, hence the margin of error also would have increased.

The sample size and the estimate are given as follows:

n = 450, \pi = 0.47.

The lower and the upper bound of the interval are given, respectively, by:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.47 - 1.96\sqrt{\frac{0.47(0.53)}{450}} = 0.4239

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.47 + 1.96\sqrt{\frac{0.47(0.53)}{450}} = 0.5161

The 95% confidence interval for the proportion of college students who work to pay for tuition and living expenses is: (0.4239, 0.5161).

More can be learned about the z-distribution at brainly.com/question/25890103

#SPJ1

5 0
1 year ago
tyler can shovel the driveway in 2 hours. dakota can complete the job in 90 minutes. if they work together, how long will it tak
IRINA_888 [86]
It would take 1minute and 10 seconds to complete the job because you have to subtract 2hours (2:00) by 90seconds (0:90)
4 0
3 years ago
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