A business has $11,080 to spend on new laptops and tablet computers for its salespeople. The laptops cost $515 each. The tablets cost $285 each. The business wants each salesperson to have either a laptop or a tablet. There are 30 salespeople. Create a system of equations that models how many of each type of computer the business should buy.


515x + 285y = 11,080
x + y = 30



515x + 285y = 30
x + y = 11,080

515x + y = 30
x + 285y = 11,080


x + 285y = 30
515x + y = 11,080

Answer:

Step-by-step explanation:

If a point (x, y) lies on a straight line, coordinates of the point will satisfy the equation.

Slope of a line passing through two points C(4, 5) and D(8, 10),

m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

m = [tex]\frac{10-5}{8-4}[/tex]

m = [tex]\frac{5}{4}[/tex]

Equation of the line passing through C(4, 5) and slope m = [tex]\frac{5}{4}[/tex]

y - y' = m(x - x')

y - 5 = [tex]\frac{5}{4}(x-4)[/tex]

y = [tex]\frac{5}{4}x-5+5[/tex]

y = [tex]\frac{5}{4}x[/tex]

If point B(4, 0) lies on the line CD,

0 = [tex]\frac{5}{4}(4)[/tex]

0 = 5

Which is not true.

Therefore, point B doesn't lie on line CD.

Answer:

[tex]Vanillas = \$5.6[/tex]

Step-by-step explanation:

Given

[tex]Cup\ Cakes = 24[/tex]

[tex]Cost = \$0.35[/tex] (each)

[tex]Vanilla = \frac{2}{3}[/tex]

[tex]Chocolate = \frac{1}{2}[/tex]

Required

Determine the cost of all vanilla cupcakes

First, we need to determine the number of vanilla cakes.

This is calculated by multiplying the fraction of Vanilla by number of cupcakes

So:

[tex]Vanilla = \frac{2}{3} * 24[/tex]

[tex]Vanilla = \frac{2 * 24}{3}[/tex]

[tex]Vanilla = \frac{48}{3}[/tex]

[tex]Vanilla = 16[/tex]

Since 1 cupcake costs $0.35.

16 would cost 16 * $0.35

So:

Vanillas: ;;;;; [tex]16 * \$0.35 = \$5.6[/tex]

Answer:

The value of n for this data is 6

Step-by-step explanation:

The given data is:

3, 12, 15, 25, 30, 40

In a set of given data, n is used to represent the number of values in a dataset. The values are also called observations. Hence, the total number of observations in a dataset are denoted by n.

In the given dataset, total values are 6.

So,

n = 6

Hence,

The value of n for this data is 6

Answer:

It would take either 13 hours, or there is not enough informatino to solve this problem.

Answer:

It would take them 13 hours to work together on the job.

Step-by-step explanation:

Just add 5 hours + 8 hours.

Answer:

y-(-4)=-6(x-1)

its is either (x-1), or (x+1). Im not sure on the last part

Step-by-step explanation:

hope this helps :3

if it did pls mark brainliest

Answer:

11 is A

13 is 22

15 is 30

I THINK

Answer:

3.25

Step-by-step explanation

Answer: 3.25

Step-by-step explanation:

Answer:

a) 2-5 = -3

b) 3(4) + 2(4) = 20

c) (3(5)+2)(5-4) = 17

Step-by-step explanation:

Substitute the variables for their values and then solve from there. Hopefully this helps, I don't know if I answered your question fully.

Answer:

8w+24x-16

Step-by-step explanation:

Answer:

$4.67

Step-by-step explanation:

John + 2 friends = 3

Total cost = $14

$14/3 = $4.6666

$4.6666 ---> $4.67

Consider Brainliest! Hope I helped!

Answer:

1. 1

2. 3

3. 4

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

21.35/7 is 3.05 and that is gas station a which is cheaper than 3.08

Lee sold 16 hats.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

Cost of 1 hat= $8

Cost of shirt = $12

Total cost of spirit wear= $272

let the number of hats sold be x

and, let the number of shirts sold be y

So, 8x+ 12y= 272

and, x+ y= 28

Solving the above equations we get

8(28- y) + 12y= 272

224 - 8y + 12y = 272

4y = 48

y = 12

and x= 28- 12 = 16

Hence, Lee sold 16 hats.

Learn more about equation here:

https://brainly.com/question/10413253

#SPJ5

Answer:

Use a calculator to add the cost of each item but don’t forget that there is tax!!

Step-by-step explanation:

Answer:

Use a calculator to add the cost of each item but don’t forget that there is tax!!

and usually is 15% of what is the total cost of each item without tax.

Step-by-step explanation:

answer: = -6 mark me brainly

Answer:

Step-by-step explanation:

distribute

=

−

6

Answer:

slove is 1

Step-by-step explanation:

if you distribute you get g(x)= x+4

the number invisivble in front of x is 1

Answer:

20

Step-by-step explanation:

4(4)+3(4)-2(4)=20

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

If P partitions AB in the ratio 1:1, then P is the midpoint of AB

Using midpoint formula to find its coordinates

Finding P:

Answer:

$180.48

Step-by-step explanation:

225.60 * .8  = 180.48

Answer:

$45.12

Step-by-step explanation:

100 - 80 = 20

225.60 x .20 = $45.12

Answer:

C) F

Step-by-step explanation:

If you flip triangle ABC across the y-axis and slide it over top of triangle FED then you can see that angle A corresponds with angle F.

Answer:

11.5962

Step-by-step explanation:

2.31 of 5.02

In mathematics, saying "of" is the same as multiplying the two values, hence the problem is;

2.31 * 5.02

= 11.5962

Answer:

5 cars

Step-by-step explanation:

If the average of cost of a car is $4,000 there will be enough cash to buy 5 cars. 20,000 divided by 4,000= 5.

Answer: 56

Step-by-step explanation: Divide 42 by 3 and then multiply by 4

I attached a diagram that will aid the understanding of the question.

Firstly, I would love to review what a scale factor is before going into the question.

If you have two shapes that are similar, that is they have corresponding angles, then the scale factor of one to the other is simply the ratio of any two corresponding lengths in the two similar geometric figures.

Looking at these figures in the question, we see that R is an enlargement of the other rectangles while Q is an enlargement of P and S. With this information we can answer the questions:

1. From P to Q, the scale factor greater than one because Q is bigger than P.

2. From P to R, the scale factor is greater than one for the same reason.

3. From Q to S, the scale factor is less than one because S is smaller than Q.

4. From Q to R, the scale factor is greater than one because R is bigger than Q.

5. From S to P, the scale factor is equal to one because they are equal.

6. From R to P, the scale factor is less than one because p is smaller than R.

7. From P to S, the scale factor is equal to one because they are equal.

Answer:

4500000

40

Step-by-step explanation:

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In the equation, we are told that d(t) = 300,000t, where t is the time in seconds and d(t) is the distance in kilometers.

1. In this part of the question, it asks for the distance after 15 seconds. To solve we plug 15 in for t.

d(t) = 300,000(15)

d(t) =  4500000  kilometers

2. In this part of the question, it is asking for time after going 12,000,000 kilometers (twelve million). To solve, we solve for t by dividing 300,000.

12,000,000 = 300,000(t)

40 = t

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#teamtrees #WAP (Water And Plant)

Answer:

1/8.

Step-by-step explanation:

Use l'Hopitals rule - we find the derivative of top and bottom of the fraction.

Derivative of the numerator = 0 - 1/2 (16 - x)^-1/2  -1

=  1 / [ 2 * (16 - x)^1/2

Derivative of the denominator =  1

When x approaches 0 this is 1 / (2*4)

= 1/8.

Another way to do this is to multiply top and bottom by  4 + (16 - x)^1/2

This  becomes   16 - (16 - x) / x(4 + (16-x)^1/2)

= 1 / (4 + (16 + x)^1/2

When x ---> 0

this = 1 /(4 + 4)

= 1/8.

Answer:

27x-24

Step-by-step explanation:

Using distributive property, we can simplify 8(2x-3) to 16x-24. That becomes 16x-24+11x.

Then, we can add 16x and 11x to get 27x.

The answer will be 27x-24.

I hope you found this helpful, and if it was, please mark this answer as brainliest! Thank you! :)