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2 years ago

Gracie is buying new jackets for her dance squad. She will pay $26.50 for each jacket

Mathematics

1 answer:

Mariana [72]2 years ago

4 0

Answer:

y=26.50x + 15.99

Step-by-step explanation:

Each jacket costs $26.50 so x is the variable to depict how many jackets she is buying because it does not tell us in the question. There is a one-time fee of $15.99 so that is added on to the total to find the total cost which is y.

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Graph a line with a slope of -2/5 that contains the point (-3,5)

kotykmax [81]

$y=-\frac{2}{5}x+\frac{19}{5}$

Further explanation:

We have to find the equation of the line first to graph the line.

The general form of slope-intercept form of equation of line is:

$y=mx+b$

Given

$m=-\frac{2}{5}$

Putting the value of slope in the equation

$y=-\frac{2}{5}x+b$

To find the value of b, putting the point (-3,5) in equation

$5=-\frac{2}{5}(-3)+b\\5=\frac{6}{5}+b\\5-\frac{6}{5}+b\\b=\frac{25-6}{5}\\b=\frac{19}{5}$

Putting the values of b and m

$y=-\frac{2}{5}x+\frac{19}{5}$

The graph is made by using online graphing tool Desmos.

Keywords: Equation of line, graph of line

Learn more about graphs at:

#LearnwithBrainly

4 0

3 years ago

Find the length of BC.

Murrr4er [49]

Answer:

C, 53.68 units

Step-by-step explanation:

tan 54° = $\frac{x}{39}$

39 tan 54° = x

x= 53.6788949 (just plug it in a scientific or graphing calculator)

x≈53.68

4 0

2 years ago

To get a B in math, Alexandria Pappas must average 80 on five tests. Scores on the first four tests were 82,74,82,and 74.Wha

motikmotik

Answer:

88 score.

Step-by-step explanation:

Given:

To get a B in math, Alexandria Pappas must<u> average 80</u> on five tests.

Scores on the first four tests were <em>82, 74, 82, and 74.</em>

Question asked:

What is the lowest score that she can get on the last test and still get a B?

Solution:

Let lowest score she can get on the last test = $x$

As we know:

$Average=\frac{Sum\ of \ observations}{Number\ of\ observations}\\ \\ 80=\frac{82+74+82+74+x}{5} \\ \\$

By cross multiplication:-

$80\times5=312+x \\ \\400=312+x\\Subtracting\ both\ sides\ by\ 312\\400-312=312-312+x\\88=x$

Thus, she can get 88 score on the last test to get a B in math.

5 0

3 years ago

An open box with a square base is to have a volume of 18 ft^3.

kotegsom [21]

Answer:

2.29 ft of side length and 1.14 height

Step-by-step explanation:

a) Volume V = x2h, where x is side of square base and h is hite.

Then surface area S = x2 + 4xh because box is open.

b) From V = x2h = 6 we have h = 6/x2.

Substitude in formula for surface area: S = x2 + 4x·6/x2, S = x2 + 24/x.

We get S as function of one variable x. To get minimum we have to find derivative S' = 2x - 24/x2 = 0, from here 2x3 - 24 = 0, x3 = 12, x = (12)1/3 ≅ 2.29 ft.

Then h = 6/(12)2/3 = (12)1/3/2 ≅ 1.14 ft.

To prove that we have minimum let get second derivative: S'' = 2 + 48/x3, S''(121/3) = 2 + 48/12 = 6 > 0.

And because by second derivative test we have minimum: Smin = (12)2/3 + 4(12)1/3(12)1/3/2 = 3(12)2/3 ≅ 15.72 ft2

5 0

2 years ago

A professional cyclist is training for the Tour de France. What was his average speed in kilometers per hour if he rode the 194

Lisa [10]

Start with the distance equation D=RT, then plug in numbers

194=R x 4.2, so all we have to do is divide 194 by 4.2.

Answer: 46.19 kph

4 0

2 years ago