In order to get to work, Lindsay takes access roads that require a toll for drivers to use. She pays $4 each day to use the access roads. She also pays $5 each day to park her car at the company lot. Assuming the toll payments are used to plot the x-coordinate and the parking lot payments are used to plot the y-coordinate, which ordered pair represents how much money Lindsay spends during a 5-day work week?

A.
(
4
,
5
)
B.
(
12
,
15
)
C.
(
15
,
20
)
D.
(
20
,
25
)

Answers

Answer 1

The ordered pair that represents how much she spends on a 5-day week is (20,25)

The rates are given as:

[tex]Access\ Roads = \$4[/tex]

[tex]Parking\ Lot= \$5[/tex]

From the question, x represents the access to roads, and y represents the number of days she parked her car.

So, her daily expense is:

[tex]Daily = Access\ Roads \times x + Parking\ Lot \times y[/tex]

This gives

[tex]Daily = 4\times x + 5\times y[/tex]

[tex]Daily = 4x + 5y[/tex]

For a 5-day work week, her daily expense is:

[tex]Daily = 4 \times 5 + 5 \times 5[/tex]

[tex]Daily = 20 + 25[/tex]

Express as ordered pair

[tex]Daily = (20 , 25)[/tex]

Hence, the ordered pair that represents how much she spends is (20,25)

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Related Questions

5. The measure of an angle is 82.3°. What is the measure of its
supplementary angle?

Answers

Answer:

97.7°

Step-by-step explanation:

Supplementary angles are angles that add up to 180° together so 180-82.3=97.7

Alexander builds a triangular frame with side lengths of 3 ft and 5 ft and a 120∘ angle between them. Which can be the length of the unknown side of the frame?

Answers

Answer:

i got 7ft for the answer

Step-by-step explanation:

The length of the unknown side of the triangular frame is 7 ft.

What is a triangle?

"A simple closed curve or a polygon formed by three line-segments (sides) is called a triangle."

From the drawn triangle

According to the law of cosines

[tex]x^{2} =3^{2} +5^{2} +2[/tex] × [tex]3[/tex] × [tex]5[/tex] × [tex]cos 120^{0}[/tex]

⇒ [tex]x^{2} =9+25+2[/tex] × [tex]3[/tex] × [tex]5[/tex] × [tex]\frac{1}{2}[/tex]

⇒ [tex]x^{2} = 9+25+15[/tex]

⇒ [tex]x^{2} = 49[/tex]

⇒ [tex]x = \sqrt{49}[/tex]

⇒ [tex]x = 7[/tex]

Hence, the length of the unknown side of the triangular frame is 7 ft.

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k + 12 ≥20, if k = 15
HELP PLEASE!!

Answers

Answer:

Step-by-step explanation:

k= 15

k+12 ≥ 20

15+12 ≥20

27 ≥ 20 True

Helppppppppp !!! Please!!!

Answers

The domain would be all real numbers if it’s infinite and I’m not 100% sure ab the range but I think 7??? Like 1 to -5

Examine the linear graph to find the slope , y-intercept, and write the equation for this linear relationship ​

Answers

Answer:

The slope of the line is: [tex]m=-\frac{1}{2}[/tex]

The y-intercept b = 3

The slope-intercept equation of the line is:  [tex]y\:=\:-\frac{1}{3}x+3[/tex]

Step-by-step explanation:

Taking two points from the given graph

(0, 3) and (6, 0)

Determining the slope m

The slope between (0, 3) and (6, 0) using the formula

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

where m is the slope between (x₁, y₁) and (x₂, y₂)

In our case,

(x₁, y₁) = (0, 3) (x₂, y₂) = (6, 0)

now substitute (x₁, y₁) = (0, 3) and (x₂, y₂) = (6, 0) in the slope formula

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

[tex]m=\frac{0-3}{6-0}[/tex]

[tex]m=-\frac{3}{6}[/tex]

[tex]m=-\frac{1}{2}[/tex]

Thus, the slope of the line is: [tex]m=-\frac{1}{2}[/tex]

Determining the y-intercept (b)

The slope-intercept form of the line equation is given by

[tex]y = mx+b[/tex]

where

[tex]m[/tex] is the slope[tex]b[/tex] is the y-intercept

From the graph, we can figure out the y-intercept by checking the value of y at x = 0.

If we closely check the graph, at x = 0, the value of y = 3

Therefore, the y-intercept b = 3

Slope-intercept Equation

We already know that the slope-intercept form of the line equation is

[tex]y = mx+b[/tex]

substituting b = 3 and m = -1/2

[tex]y\:=\:-\frac{1}{2}x+3[/tex]

Therefore, the slope-intercept equation of the line is:  [tex]y\:=\:-\frac{1}{2}x+3[/tex]

The graph is also attached below.

NEED HELP WITH MATH !

Answers

Answer:

1.50 liter/hr

Step-by-step explanation:

using;

[tex] \frac{6 - 3}{4 - 2} [/tex]

=3/2= 1.50 liter/hr

Find the greatest common factor of 21 and 10.

Answers

Answer:

GCF of 10 and 21 is 1.2.

Step-by-step explanation:

I hope it's helpful!

1
because they can’t be divided by the same number

will give brainliest to first correct answer. find missing length

Answers

Answer: a

Step-by-step explanation:

Because i said so

(-2+4i) - (8+2i) if i is imaginary

Answers

Answer:

-10 + 2i

Yes, it is imaginary

Step-by-step explanation:

[tex](-2+4i) - (8+2i) \\ \\ = - 2 + 4i - 8 - 2i \\ \\ = - 2 - 8 + 4i - 2i \\ \\ = - 10 + 2i[/tex]

At smiths five bags of chips cost nine dollars how much would it cost for a seven bags of chips

Answers

Answer:

$12.60

Step-by-step explanation:

Can someone please help me with this problem please?

Answers

Answer:

6.86

Step-by-step explanation:

ask if you dont understand

Piper has a flower shop. She started the week with 320 flowers. Each day she sells half of the flowers in her shop.
Which graph shows the exponential decay described?
320
280
240
Flowers 200
Left
160
120
80
40
320
280
240
Flowers 200
Left
160
120
80
40
OA
Oc.
0 1 2 3 4 5 6
Days
0 1 2 3 4 5 6
Days
320
280
240
Flowers 200
Left
160
120
80
40
320
280
240
Flowers 200
Left
160
120
80
40
OB.
OD
0 1
2 3 4 5 6
Days
0 1 2 3 4 5 6
Days

Answers

Answer:

Step-by-step explanation:

the answer is C! i’m doing this right now as well

PLEASE HELP!!!!

We need to know total number of miles and
we need to know the distance (in miles) between san diego to albuquerque, albuquerque to omaha, omaha to chicago (it’s labeled springfield on the map below but it’s chicago), then chicago (which is again labeled as springfield on the map below) to nashville

The scale is 1 cm to 204

THE INFORMATION, MAP, INSTRUCTIONS, SCALE, AND QUESTIONS ARE BELOW!

Answers

Answer:

total mile=(3.75+4.25+2.25+2)×204mile=12.25×204=2499mile

9514 1404 393

Answer:

765 mi867 mi459 mi408 mitotal: 2499 mi

Step-by-step explanation:

The estimated mileage is found by multiplying the map scale by the map distance:

#1: (204 mi/cm)(3.75 cm) = 765 mi

The last of your attachments correctly shows the mileage for each of the distances you have identified on the map.

(Please note that the map is actually showing Springfield, IL. The location of Chicago is at the south end of Lake Michigan, not in the middle of IL. Perhaps the grid incorrectly lists Chicago instead of Springfield.)

__

Of course, the total distance is the sum of the distances of the legs of the trip:

  765 +867 +459 +408 = 2499 . . . . miles total distance

What is another name for the height of a prism or a pyramid?
A. Altitude
B. Length
C. Base
D. Lateral face

Answers

Answer:

A . altitude

Step-by-step explanation:

Can someone Explain this whole thing

Answers

Answer:

Step-by-step explanation:

∵ the properties of rhombus, all sides are equal.

∴MA=MQ

 MA=12

12. Find the values of x, y, and z.
(1 point)

Answers

Answer:

b. x = 80, y = 100, z = 63

Step-by-step explanation:

The capacity of Dr Khan's oil tank is 1,200 litres.
There are currently 650 litres of oil in the tank.
Oil costs 77.2p per litre.
Dr Khan gets a 5% discount on the price of oil.
How much does it cost Dr Khan to fill the oil tank?

Answers

Answer:

it costs = 40337p

Step-by-step explanation:

a) 1200 - 650 = 550L

b) 77.2p - 77.2 x0.05 = 73.34p per litre

c) the total money it costs to be filled the the oil tank by Dr Khan is 73.34 x 550L = 40337

PLZ HELP WILL MARK BRANLIEST

What events in Hitler Youth have impacted individuals or ideas?

Answers

Answer:

Hitler Youth, founded in 1926, young children were taught how to use weapons and how to kill. This could have had a psychological effect on their developing minds. They were also taught the ideals and values of Hitler. They were taught that the ideal way to be was cis, straight, Christian, white, blonde, and blue eyes. Some children didn't possess these qualities negatively affecting the way they view themselves and those who did possess these traits dramatically looked down on others. The purpose of the Hitler Youth was to train children to be prepared to give their lives for their country.

Step-by-step explanation:

what is this(9 + 4) × (8 -7)

Answers

Answer:

13

Step-by-step explanation:

To solve this you have to add 9 and 4 first so you get 13. Next, you have to subtract 8 from 7 so you get 1. Now all you have to do is multiply 13 and 1 so you get 13 as your answer.

9 + 4 = 13

8 - 7 = 1

13 × 1 = 13

I hope this helps you :D

Answer:

Its 13

Step-by-step explanation:

Pretty much its 9 + 4 (13) x 1 which equals 13.

1. What is the formula for Pythagorean Theorem
2. What does the A represent
3. What does the B represent
4. What does the C represent
5. Pythagorean Theorem can be used with what SPECIFIC shape?
6. If A= 4, and B = 5, what is length of the hypotenuse? Show all work

Answers

Answer:

The formula is a^2 + b^2 = c^2

Step-by-step explanation:

A and B are legs and C is the hypothunisis.

The theorem is used for triangles.

4^2  + 5^2 = c^2

16 + 25 = c^2

41 = c^2

sqr(41) = sqr(c)^2

c = 6.403124237

Simplify 7.7w - 4.6w please answer hurry!

Answers

Answer:

3.1w

Step-by-step explanation:

Mr. P mowed 2/7 of his lawn. His son mowed 1/4 of it who mowed the most how much of the lawn still need to be mowed. Solve using the RDW strategy

plzzz help meh I WILL MARK 50 points!!!!!!

Answers

Answer:

Step-by-step explanation:

1/3

A person invests $100,000 dollars at 8% for 10 years. How much money does the person have in their account if it is compounded....
a) annually
b) semi annually
c) quarterly
d) monthly
e) daily
f) continuously

i only need a, c, e, f

Answers

9514 1404 393

Answer:

  a)  $215,892.50

  c)  $220,803.97

  e)  $222,534.58

  f)  $222.554.09

Step-by-step explanation:

The compound interest formula is ...

  FV = P(1 +r/n)^(nt)

where principal P is invested at annual rate r for t years, compounded n times per year. In this problem, you have P=100,000, r=0.08, t=10, and the only variable of interest is n.

When calculations are repeated, it is often convenient to let a calculator or spreadsheet do them. You only need to program the formula once, then use it for the different values of the variable of interest. Most spreadsheets have this formula built in, so you don't even need to program it.

__

For continuous compounding, the formula is ...

  FV = Pe^(rt)

  FV = 100,000e^(0.08·10) = 222,554.09

Using the expression you found in part a, how many minutes will it take to make and pack an order for 15 parts? Show your work. help now plz
25pt

Answers

Answer:

2x + 10

= 2(15) + 10

= 30 + 10

= 40

It will take 40 minutes to make and pack an order for 15 parts.

Step-by-step explanation:

what does this equal 12*5*6*100*67*82*200*419*638*35*134

Answers

Answer:

4.959395e+19

Step-by-step explanation:

12*5*6*100*67*82*200*419*638*35*134 = 4.959394955x10^19

you can always use a calculator for these large calculations

If y = x + 3, what is y if x = 4?

Answers

Answer:

7

Step-by-step explanation:

y = x+3

y = 4+3

y = 7

brainlist plz

7 is the answer...............

0.01 × 0.001
answer This​

Answers

Answer:

0.00001

Step-by-step explanation:

6x^2+ x - 12?
What are the factors?

Answers

(3x-4)(2x+3) are the factors

mr. knox's rent during the past year amounted to $2700 per year. His rent was 20% of his income. find his income fo the last year.

Answers

Answer:

$13,500

Step-by-step explanation:

20% is 1/5, so to figure out his income we multiply 2700*5=13500

Answer:

$13,500

Step-by-step explanation:

Fraction: 20/100 = 2700/x

Find x

20x=270000

Divide 20 by both sides

X=13,500

Write an equation in slope-intercept form that passes through (5, -8) and runs perpendicular to y = 5/2x + 4

Answers

y= (-2/5)x-6

Step-by-step explanation:

the slope of the line perpendicular the the given line is found by the formula m1.m2= -1 hence m2= -2/5

using the slope-intercept form

y+8= -2/5(x-5) y= (-2/5)x-6

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