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12. The coordinate grid below represents a town.

a. Curtis's house is at (-4, -6) and Jean's house is at (-4, 3). Plot the plots where Curtis's house and Jean's house are located.

b. Each unit on the grid represents 1 mile. If Curtis can ride his bike at a constant rate of 12 miles per hour, how long would it take Curtis to ride from his house to Jean's house?

THIS IS NOT MULTIPLE CHOICE!!!

Answers

Answer 1

We are given:

Coordinates of Curtis's house: (-4, -6)

Coordinates of Jean's house: (-4, 3)

a) Plotting these points:

in the given coordinates, the first number is called the abscissa and denotes the x-coordinate of the point.

the second number is the ordinate. it denotes the y-coordinate of the point

Plotting Curtis's house:

We will start from the origin (0,0). move 4 units to the left because that's where x = -4 is.

Then, we will move 6 units downwards and mark the point.

The point we just marked is (-4, -6), Curtis's house

Plotting Jean's house:

We will go to x = -4 like we just did when plotting curtis's house

then, we will move 3 units upwards and mark the point.

This point is (-4, 3), Jean's house

b) Time taken by Curtis:

Distance between the points:

distance = [tex]\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]      (distance formula/Pythagoras' Theorem)

where (x₁, y₁) = (-4, -6)    and    (x₂, y₂) = (-4, 3)

replacing the values in the formula, we get:

distance = [tex]\sqrt{(-4 - (-4))^2 + (3 - (-6))^2}[/tex]

distance = [tex]\sqrt{(0)^2 + (9)^2}[/tex]

distance = [tex]\sqrt{(9)^2}[/tex] = 9 units

since each unit on the grid represents one mile,

distance = 9 miles

speed of Curtis = 12 miles/hour

we know that speed is just (distance covered)/(time taken)

speed = (distance covered)/(time taken)

replacing known values

12 = 9 / time

12 * time = 9                [multiplying both sides by time]

time = 9/12                  [dividing both sides by 12]

time = 3/4 hours

time = 0.75 hours OR 45 minutes

Answer 2

9514 1404 393

Answer:

  a) see attached

  b) 3/4 hour (45 minutes)

Step-by-step explanation:

a) The attached graph shows the points plotted.

__

b) The points lie on the same vertical line. The distance between them is the difference of their y-coordinates: 3 -(-6) = 9 (miles).

The time is related to distance and speed by ...

  time = distance/speed

  time = (9 mi)/(12 mi/h) = 9/12 h = 3/4 h

It would take Curtis 3/4 hour to ride from his house to Jean's house.


Related Questions

There are 36 tables and 7 booths in the family restaurant. Each table seats 4 people. If the restaurant can seat up to 179 people, what is the capacity of each booth?

4 people

5 people

6 people

7 people

Answers

Answer:

5 people.

Step-by-step explanation:

First we need to find how many people 36 tables seats. In order to do this, we need to multiply 36 (tables) by 4 (people sitting) to get 144. Now just subtract 144 from 179 to see how many people are left, here we get 35. Since there are 7 booths, we divide 35 by 7 to get 5. Each booth holds 5 people.

(179-36x4)/7=5

Convert the degree measurement to radians. Express answer as multiple of π: - 60°
A. π/3
B. −π/4
C. −π/5
D. −π/3

Answers

Answer:

-pi/3

Step-by-step explanation:

To convert from degree to radians, multiply by pi/180

-60 * pi/180 =  -60/180 *pi = -pi/3

Answer:

D. -pi/3

Step-by-step explanation:

degree to radians formula: x=degree, x*pi/180

x=-60

-60*pi/180=-pi/3

amortization for house costs 35,000.00 at 6.5% interest for 10 years and payments of 400.00 were paid for 36 months what is the remaining balance

Answers

Answer:

$26,640.22

Step-by-step explanation:

8x + 2 = = 7 + 5x + 15

Answers

Answer:

2.5

Step-by-step explanation:

8x + 2 = 7 + 5x + 15

Combine like terms:

8x + 2 = 7 + 5x + 15

8x + 2 = 22

      -2     -2

-----------------

8x = 20

----    ----

8       8

x = 2.5

Hope this helped.

A 40-foot tree casts a shadow 60 feet long. How long would the shadow of a 6-foot man be at that time?​

Answers

Answer:

26 ft

Step-by-step explanation:

I'm guessing this is how it's done

60-40= 20

there for at this time any shadow would be 20x it's original height/length

so 6+20=26 ft

lmk if I'm correct

Taking ratios

Let the shadow length=x ft

[tex]\\ \sf\longmapsto 40:60=6:x[/tex]

[tex]\\ \sf\longmapsto \dfrac{40}{60}=\dfrac{6}{x}[/tex]

[tex]\\ \sf\longmapsto \dfrac{4}{6}=\dfrac{6}{x}[/tex]

[tex]\\ \sf\longmapsto 4x=6(6)[/tex]

[tex]\\ \sf\longmapsto 4x=36[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{36}{4}[/tex]

[tex]\\ \sf\longmapsto x=9[/tex]

The graph shows the solution of the following system of equations. y=-5/3x+3 y=1/3x-3 What is the solution? A. (-3,2) B. (3,2) C. (-3,-2) D. (3,-2)

Answers

Answer:

(3,-2)

Step-by-step explanation:

-5/3x + 3 = 1/3x - 3

-5/3x = 1/3x - 6

-2x = -6

x = 3

y = -5/3(3) + 3

y = -5 + 3

y = -2

Can someone help me with this?

Answers

Answer:

183.3 in^3

Step-by-step explanation:

Find the volume of the rectangular bottom

V = l*w*h

V = 5*5*6 =150 in^3

Find the volume of the triangular pyramid

V = 1/3 Bh where B is the area of the base and h is the height

V = 1/3 ( 5*5) * 4 = 100/3

Add the two volumes together

150 + 100/3

150 +33.3

183.3 in^3

A study examines the relationship between being a registered nurse (yes/no) and passing a cultural competency exam (yes/no) among a group of 987 randomly selected employees at your hospital. What test would be appropriate to determine if there is an association

Answers

Answer:

The appropriate test to determine if there is an association between being a registered nurse and passing a cultural competency exam among a group of 987 randomly selected hospital employees is a:

Chi-square Test.

Step-by-step explanation:

The Chi-Square Test uses either a diagram (like a scatter plot) or a hypothesis test to show the existence of an association between two variables or statistically demonstrate that a relationship exists between the two variables.  Using the computed t-score, the significant association between two categorical variables can be measured and established.

PLS HELP! What is the mistake made below in solving x2 – 12x + 10 = 0 using the completing the square method?

x2 – 12x + 10 = 0

x2 – 12x + (- 6)2 = - 10 + (- 6)2

x2 – 12x + 36 = 26

(x – 6)(x – 6) = 26

x – 6 = √26

x = 6 + √26

Answers

Answer:

Step-by-step explanation:

Everything is correct. But you forgot to add

x = 6 - square root of 26. The answer is

x = 6 + square root of 26 or

x = 6 - square root of 26

For the function F defined by F(x) = x2 – 2x + 4, find F(b+3).

Answers

Answer:

[tex]\displaystyle F(b + 3) = b^2 + 4b + 7[/tex]

Step-by-step explanation:

We are given the function:

[tex]\displaystlye F(x) = x^2 - 2x + 4[/tex]

And we want to find F(b + 3).

We can substitute:

[tex]\displaystyle F(b + 3) = (b + 3)^2 - 2(b+3) + 4[/tex]

Expand:

[tex]\displaystyle = (b^2 + 6b + 9) + (-2b -6) + 4[/tex]

Rearrange:

[tex]\displaystyle = (b^2) + (6b-2b) + (9 - 6 + 4)[/tex]

Combine like terms. Hence:

[tex]\displaystyle = b^2 +4b + 7[/tex]

In conclusion:

[tex]\displaystyle F(b + 3) = b^2 + 4b + 7[/tex]

what is the answer I need help?

Answers

Answer:

8 1/8 units^3

Step-by-step explanation:

This figure is a rectangular prism, and the volume of a rectangular prism is given by the formula:

lwh

But since we have the area of the base snd the height of the figure, there is also one formula that we can use to find the volume:

bh

Which means area of base times the height.

USE THE FORMULA bh:

16 1/4 x 1/2

= 65/4 x 1/2

= 65/8

SIMPLIFIED: 8 1/8

Volume is measured in cubic units

SO YOUR ANSWER IS 8 1/8 units^3

any equations that equal three?

Answers

0+3=3 so I hope that helps
1•3=3 or 4-1=3 try those equations

Help!!????
Please!!!????

Answers

Answer:

true

mark me brainist if it comes out to be true

Answer:

The answer is TRUE.

Step-by-step explanation:

Draw the line segment with endpoints (-5, 9) and (-1, -7) and find the value of y if x=-4;-2.5;-2;-1.5;0 plz answer asap

Answers

Answer:

5, - 1, - 3, - 5, - 11

Step-by-step explanation:

The equation of the line is y=-4x-11. The y values corresponding to x are 5, - 1, - 3, - 5, - 11

Solve the inequality

Answers

Answer:

hope this helps buddy, please mark the brainliest.

Step-by-step explanation:

To mail an envelope first class the us pot charges 0.32 cents for the first ounce and 0.24 cents for each additional ounce. Use an inequality to find the maximum number of whole ounces that can be mailed for $7.98

Answers

Answer:

Not sure about the inequality, but maximum ounces is 31 ounces.

Might be.

[tex]7.98 \geqslant .24x + .32[/tex]

PLS PLS PLS HELP QUICKKKK

Find the value of x in each case

Answers

Answer:

KI and HE are parallel

So we apply the law of exterior angles ;

3X=X + 180– 2X

3X +X = 180

4X= 180

X= 180/4

X= 45

I hope I helped you^_^

what is 88.92 x 21.33

Answers

Answer:

By multiplying 88.92 from 21.33 we get 1896.6636.

Hope it's helpful

Answer:

1896.6636

Step-by-step explanation:

Hope this helps

how induction coil work​

Answers

Answer:

Induction produces an electromagnetic field in a coil to transfer energy to a work piece to be heated. When the electrical current passes along a wire, a magnetic field is produced around that wire

Step-by-step explanation:

a team's stadium has a capacity of 86,047. The fan base is notorious for selling out of tickets every game. If every game sells out this year, how many tickets are sold in their 12 game regular season play?

Answers

Answer:

1,032,564 tickets

Step-by-step explanation:

Find how many tickets they sell in total by multiplying the capacity of the stadium by the number of games in the season:

86,047(12)

= 1,032,564

So, if every game sells out, 1,032,564 tickets will be sold.

On Monday, Main Street station sells 40 tickets.

There are four types of ticket; infant, child, adult and senior.

The bar chart shows the number of infant, child and adult tickets sold.


How many Senior tickets sold ?

Find how many adult tickets were sold than child tickets ?

BOTH QUESTION MUST BE ANSWERES

BEST ANS IS ALWAY MARKED BRAINLIST

NO FAKE

Answers

Answer:

How many Senior tickets sold ?

0

Find how many adult tickets were sold than child tickets ?

5

Step-by-step explanation:

Answer:

:];];]

u know

meeeeeeeeeeeeeeeeeeeeeeeeeeeee

brainlistttt

cutie

k?

Step-by-step explanation:

find x

please help!!​

Answers

Answer:  [tex]9\sqrt{3}[/tex]

==========================================================

Explanation:

For any 30-60-90 triangle, the short leg is always half the hypotenuse.

This makes the short leg to be 18/2 = 9 units long.

We then multiply this by [tex]\sqrt{3}[/tex] to get the length of the long leg.

[tex]\text{long leg} = (\text{short leg})*\sqrt{3}\\\text{long leg} =9\sqrt{3}[/tex]

Or you could use the pythagorean theorem to solve [tex]x^2+9^2 = 18^2[/tex] and you should get [tex]x = \sqrt{243} = 9\sqrt{3}[/tex]

What fraction must be subtracted from the sum of 1/4 and 1/6 to have an average of 1/12 of all the two fractions

Answers

Answer:

so 1/3 must be subtracted from the sum of 1/4 and 1/6 to have an average of 1/12 of all the two fractions.

Step-by-step explanation:

let the fraction be x

(1/4 + 1/6)-x =  1/12

or, 10/24 - x = 1/12

or, 5/12-1/12 = x

so, x = 4/12 = 1/3

Choose Yes or No to tell if each statement is true.

3
.
072
>
3
.
2

Choose...

728
.
307
>
729
.
07

Choose...

12
.
040
=
12
.
04

Choose...

531
.
135
<
531
.
315

Choose...

Answers

Answer:

1. No 2. No 3. Yes 4. Yes

Step-by-step explanation:

Compare the value of each digit from the leftmost digit.

HELP ASAP!!!!
Lydia is creating floral centerpieces for a friend's wedding. She is trying to decide the amount of tulips and peonies she should include in the centerpieces. The table below shows the number of flowers she plans to use in each centerpiece. The total number of flowers used for each centerpiece should be no more than 21 flowers.


Flower Type Number

Sweet Pea 8

Hyacinth 2

Tulip t

Gardenia 3

Peony p


First, select the inequality that can be used to represent the number of peonies, p, and tulips, t, Lydia can use in each centerpiece. Then, select possible combinations of peonies and tulips that could be in a centerpiece to satisfy the inequality.

answers

13 - (t + p) ≤ 21

13 + p + t ≥ 21

3 tulips and 9 peonies

2 tulips and 3 peonies

13 + t + p ≤ 21

6 tulips and 4 peonies

5 tulips and 3 peonies

21 - p + t ≥ 13

Answers

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Answer:

13 + t + p ≤ 215 tulips and 3 peonies2 tulips and 3 peonies

Step-by-step explanation:

"No more than 21" means "less than or equal to 21." The total of flowers Lydia has listed is ...

  8 + 2 + t + 3 + p = 13 +p +t

Lydia wants this less than or equal to 21, so the appropriate inequality is ...

  13 +p +t ≤ 21

__

Subtracting 13 from both sides gives us a relation that helps us better see the possible values of p and t.

  p +t ≤ 8

Then suitable numbers of peonies and tulips will numbers that total 8 or less. Of the choices listed, ones that match that requirement are ...

  2 tulips and 3 peonies

  5 tulips and 3 peonies

Teddy wants to taste all of the flavors of ice cream at the mall, one by one. Tasting any one flavor will change the way the next flavor taste after it. The flavors are chocolate, vanilla, strawberry, birthday cake, Rocky Road, and butter pecan. In how many ways can he taste the ice cream.
A. 30
B.120
C. 360
D.720

Answers

Answer: (d)

Step-by-step explanation:

Given

There are six flavors of ice-cream that is chocolate, vanilla, strawberry, birthday cake, rocky road, and butter pecan

First ice-cream can be tasted in 6 different ways

Second can be in 5 ways

similarly, remaining in 4, 3, 2 and 1 ways

Total no of ways are  [tex]6\times5\times 4\times 3\times 2\times 1=720\ \text{ways}[/tex]

Option (d) is correct.

Adam sleeps for nine hours each night, five nights a week, and 11 hours for two nights a week.
Which is closest to the percentage of the whole week that Adam spends sleeping?
A) 25%
B) 30%
C) 33%
D) 40%
E) 50%

Answers

Answer:

E

Step-by-step explanation:

The percentage of the whole week that Adam spends in sleeping is 33%.

What is percentage?

A percentage is a portion of a whole expressed as a number between 0 and 100 rather than as a fraction.

How to find percentage of a number?

A percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate percent of a number, divide the number by the whole and multiply by 100.

According to the give question.

Adams sleeps for nine hours each night, five nights a week.

⇒ Number of hours he sleep for five nights = 5 × 9 = 45 hours

Also, 11 hours for two nights a week.

So, the total number of hours Adam sleeps in a week = 45 + 11 = 56 hours

And, total number of hours in a week = 24 × 7 = 168

Therefore,

The percentage of the whole week that Adam spends in sleeping

= (total number of hours Adam sleep in a week/Total numbers of hour in a week) × 100

[tex]=\frac{56}{168}[/tex] × 100

= 33.33%

= 33%

Hence, the percentage of the whole week that Adam spends in sleeping is 33%.

Find out more information about percentage here:

https://brainly.com/question/24159063

#SPJ2

How do you Graph 3x+4y< -16 on the coordinate plane

Answers

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

Take note of the inequality symbol. It is < (not ≤), so the "equal to" case is not included. That means the line 3x+4y=-16 is not part of the solution set. That boundary line is graphed as a dashed line.

Take note of where the variables are in relation to the inequality symbol. Both are on the "less than" side, so the shading of the graph will be where the values of x and y are less than those on the boundary line. The boundary line has a negative slope, so the values less than those on the boundary are to the left and below the line.

Plot the dashed boundary line 3x +4y = -16, or y = -3/4x -4, and shade the area below and to its left.

1 simplify 6x64 ÷ 16 +7-21​

Answers

Answer:

10

Step-by-step explanation:

During a 1966 Tabiona High School track meet, Levere ran the 100 yard dash in
10.63 seconds. Ross took second with a time of 10.98 seconds.
a. Levere’s time was _______% shorter than Ross’.
b. Ross’ time was _______% longer than Levere’s.
c. Levere’s time was _______% of Ross’.

Answers

Answer:

a) 3.19

b) 3.29

c) 96.81

Step-by-step explanation:

Question a:

Levere's: 10.63s

Ross: 10.98s

10.98 - 10.63 = 0.35s shorter than 10.98s, so:

0.35*100%/10.98 = 3.19% shorter.

Question b:

35s longer than 10.63s, so:

0.35*100%/10.63 = 3.29% longer.

Question c:

3.19% shorter, so 100 - 3.19 = 96.81% of Ross.

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