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4 years ago

15

Write and solve an equation for the following a flower shop charges $3 per rose plus a $5 delivery fee. You spend $59 on roses.

how many roses did you order?

1 answer:

lakkis [162]4 years ago

7 0

R=roses
3r + 5= 59
3r=54
r=18
18 roses were ordered

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Find the perimeter of the polygon. Round your answer to the nearest tenth.

dimulka [17.4K]

The perimeter of the polygon is 26.1 units.

To find the perimeter of the polygon.

<h3>What is polygon?</h3>

A polygon is a two-dimensional geometric figure that has a finite number of sides. The sides of a polygon are made of straight line segments connected to each other end to end. Thus, the line segments of a polygon are called sides or edges.

Given that:

Distance between points $(x_{1} ,y_{1} )$ , $(x_{2} ,y_{2} )$ is given by

$\sqrt{(x_{2} -x_{1} )^{2}+(y_{2} -y_{1} )^{2} }$

As per the graph,

point Q is (2,0)

point R is (4,5)

point S is (8,7)

point T is (6,4)

point U is (10,3)

QR= $\sqrt{(4 -2 )^{2}+(5 -0 )^{2} }=\sqrt{4+25} =\sqrt{29}$ $=5.38 units$

RS= $\sqrt{(8 -4 )^{2}+(7 -5 )^{2} }=\sqrt{16+4} =\sqrt{20}$ $=4.47 units$

ST= $\sqrt{(6 -8 )^{2}+(4 -7)^{2} }=\sqrt{4+9} =\sqrt{13}$ $=3.60 units$

TU= $\sqrt{(10 -6 )^{2}+(3 -4 )^{2} }=\sqrt{16+1} =\sqrt{17}$ $=4.12 units$

QU= $\sqrt{(10 -2 )^{2}+(3 -0 )^{2} }=\sqrt{64+9} =\sqrt{73}=8.54 units$

Perimeter refers to sum of lengths of all the sides.

Perimeter =5.38+4.47+3.60+4.12+8.54=26.1 units

So. the perimeter of the polygon is 26.1 units.

Learn more about polygon here:

brainly.com/question/28193374

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2 years ago

Solve the problem. give that f(x)=4x²-7x;find all values of a such that f(a)=15 HELP!!!

joja [24]

$4x^2-7x=15\\
4x^2-7x-15=0\\
4x^2-12x+5x-15=0\\
4x(x-3)+5(x-3)=0\\
(4x+5)(x-3)=0\\
x=-\frac{5}{4} \vee x=3$

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3 years ago

A researcher wants to estimate the percentage of all adults that have used the Internet to seek pre-purchase information in the

Lubov Fominskaja [6]

Answer:

The required sample size for the new study is 801.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

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

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

The margin of error is:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

25% of all adults had used the Internet for such a purpose

This means that $\pi = 0.25$

95% confidence level

So $\alpha = 0.05$ , z is the value of Z that has a pvalue of $1 - \frac{0.05}{2} = 0.975$ , so $Z = 1.96$ .

What is the required sample size for the new study?

This is n for which M = 0.03. So

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$0.03 = 1.96\sqrt{\frac{0.25*0.75)}{n}}$

$0.03\sqrt{n} = 1.96\sqrt{0.25*0.75}$

$\sqrt{n} = \frac{1.96\sqrt{0.25*0.75}}{0.03}$

$(\sqrt{n})^2 = (\frac{1.96\sqrt{0.25*0.75}}{0.03})^2$

$n = 800.3$

Rounding up:

The required sample size for the new study is 801.

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3 years ago

1, Two lines meet at a point that is also the endpoint of a ray. Set up and solve the appropriate equations to determine and y.

Alexxandr [17]

Answer:

Take a look at explanation below;

Step-by-step explanation:

See attachment( s ) below;

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3 years ago

North Ridge middle school collected 5,024 cans of food for a food drive. Each of the 18 homerooms collected about the same numbe

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You want to take 5024 divided by 18 so each home room gets and equal amount which would be about 279 cans

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3 years ago