(a) The area of a rectangular parking lot is 7050 m².
If the length of the parking lot is 94 m, what is its width?

(b) The perimetel of a rectangular pool is 356 m.
If the width of the pool is 82 m, what is its length?
Length of the pool: Im

Answers

Answer 1

Answer:

75 m, 96 m

Step-by-step explanation:

a. Area = length x width

7050 = 94 x width

7050/94 = w

75 m is width

b. perimeter = 2L + 2W

356 = 2L + 2(82)

356 = 2L + 164

192 = 2L

96 m = L


Related Questions

Find the equation of the line.

Answers

Answer:

y = 2x + -3

Step-by-step explanation:

Use the equation y=mx+b

m is the slope (2 in this case)

b is the y intercept (-3 in this case)

The equation of the line would be y = 2x + -3

Which is an equation of the line through (0,0) and (-3,-7)?

O A. y=-7x

O B. y= 2

O C. y = 2

O D. y=-3x

Answers

Answer:

y=7/3x

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-7-0)/(-3-0)

m=-7/-3

m=7/3

y-y1=m(x-x1)

y-0=7/3(x-0)

y=7/3(x)

y=7/3x

Equation of the line through (0,0) and (-3,-7) is y=7/3x

What is Slope of Line?

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

We need to find the equation of the line through (0,0) and (-3,-7)

m=-7/-3=7/3

Now let us find the y intercept

-7=7/3(-3)+b

b=0

So the equation is y=7/3x

Hence, equation of the line through (0,0) and (-3,-7) is y=7/3x

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Determine the slope from the given graph below:

A ⇹ The slope is -7
B ⇹ The slope is−16
C ⇹ The slope is 6
D ⇹ The slope is -6

Answers

Step-by-step explanation:

the slope is the ratio of "y coordinate difference / x coordinate difference".

so, let's find 2 good points (I mean by that with integer coordinates). I see e.g.

(-1, -1) and (0, -7)

x changes by +1 (from -1 to 0).

y changes by -6 (from -1 to -7).

so, the slope is -6/1 = -6.

D is the right answer.

I need help with this!!!!

Answers

Answer:

246b  

Step-by-step explanation: i did this

Jesper can run 6 miles in 45 minutes. He is thinking about running in two different races, a 9-mile race and a 15-mile race. At his current rate, how many more minutes will it take Jesper to complete the 15-mile race than the 9-mile race?

Answers

Find minutes per mile by dividing time by distance:

45 minutes / 6 miles = 7.5 minutes per mile

Now multiply his speed by each distance:

7.5 x 9 = 67.5 minutes

7.5 x 15 = 112.5 minutes

Now subtract the two:

112.5 - 67.5 = 45 minutes more

It will take Jesper 45 more minutes to complete the 15-mile race than the 9-mile race at his current running speed.

Jesper's running speed is 6 miles in 45 minutes.

To find out how long it will take him to complete the races, you can use the formula:

Time = Distance / Speed

Let's calculate the times for both races:

For the 9-mile race:

Time = 9 miles / (6 miles/45 minutes)

= 9 × (45/6)

= 67.5 minutes

For the 15-mile race:

Time = 15 miles / (6 miles/45 minutes)

= 15 × (45/6)

= 112.5 minutes

The difference in time between the 15-mile race and the 9-mile race will be:

Difference = Time for 15-mile race - Time for 9-mile race

= 112.5 minutes - 67.5 minutes

= 45 minutes

So, it will take Jesper 45 more minutes to complete the 15-mile race than the 9-mile race at his current running speed.

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Find the domain and the range of the given relation {(-1,-5),(-3,0),(9,1),(1,9)}

Answers

Answer:

1,3,4,6,8} { 1 , 3 , 4 , 6 , 8 }. Range:{2,4,5,7,9}

Step-by-step explanation:

The domain is the set of all the values of x x . The range is the set of all the values of y y .

eight and one six minus 7 and three forths

Answers

Answer:

5/12

Have a good day!

16,40 and 56 LCM
Solve please

Answers

Answer:

pic?

Step-by-step explanation:

send me the picture please

Complete the table for this equation. y=x+6

Answers

Answer:

Step-by-step explanation:

Luis and Erin are playing a game. They each start with 0 points. At the end of the game, Luis has 250 points, and Erin has -250


Which statement about the game is true?

A. Erin and Luis have a total of 500 points.

B. Erin has lost 250 points.

C. Luis has 250 more points than Erin.

D. Erin and Luis have an equal number of points.

Answers

Answer:

B

Step-by-step explanation:

What is the equation of the line in slope intercept form perpendicular to the y axis and has the point (-4,5)

Answers

Answer:

y=5

Step-by-step explanation:

If it is perpendicular to the y-axis, that means it is a horizontal line so the slope m=0.

Use the equation

y-y=m(x-x)

y-5=0(x-(-4))

y-5=0

y=5

Answer:

y=5

Step-by-step explanation:

Should I write the answer as decimal or a whole number

Answers

Maybe write the answer as a Decimal, sorry if that’s wrong ?
Maybe it should make sense as a decimal?

Help help math math math

Answers

Answer:

y = 3x + 4

x=? (m) , and 'm' is how steep the slope is , which is at 3 , located on the X-axis. The blank is 'b' which is where the point intercepts the Y-axis , which is at 4 , located on the Y-axis.

(i think this is right im not sure tho)

Answer:

3x+1

Step-by-step explanation:

3 is the slope. 3 times x is 3 because x is one. 3+1=4 4 is y

Worth 50 points!I need help plz!
Will mark brainliest to whoever does all the work.

A basket contains:
4 red Santa hats
6 green Elf hats
5 red jackets
7 green jackets.

Determine the probability of randomly selecting a green piece of clothing or a jacket.

(A)Use the addition rule to calculate this probability and explain your answer.

Do this equation P(AorB)=P(A)+P(B)-P(A and B)
(Write your answer as a percent.)

(B) are a green piece of clothing and a jacket mutually exclusive events?

Answers

Explanation/Answer:

Total: 4 + 6 + 5 + 7 = 22

Green: 6 + 7 = 13

Probability: 13/22

Note: It Is Not Mutually Exclusive Events


If there are 80 shirts - 30%are blue and 40%are red how many
are white

Answers

Answer:

24

Step-by-step explanation:

30%+40%=70%

100%-70%= 30%

what's 30% of 80?

80×0.3= 24

30% of 80 is 24.
40% of 80 is 32.

that is 56 shirts combined with blue and red shirts. 80 - 56 is 24 shirts :)

what is /12x^8| /3x2 in simplest form where x>0

Answers

Answer:

2x^3

C

Step-by-step explanation:

which of the following are needed to make an expression?
a- equal sign
b-number(s)
c-operation(s)
d-variable(s)

Answers

Answer:

Truly, it's all of the above!

What is the value of x?
O
O x = 32
O x = 36
x = 37
(x + 15)

(4x - 20)
O x = 40

Answers

Answer:

x + (4x-20) = 180

by linear pair

therefore x= 70

Applying the definition of linear pair, the value of x is: D. 40.

What is a Linear PairA linear pair is a set of angles on a straight line.Straight line angle = 180 degrees.Linear pair of angles add up to 180 degrees.

Therefore:

x + (4x - 20°) = 180°

Solve for x

5x - 20 = 180

5x = 180 + 20

5x = 200

Divide both sides by 5

x = 40

Therefore, applying the definition of linear pair, the value of x is: D. 40.

Learn more about linear pair on:

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A notecard is 3 inches by 4 inches. How
long is its diagonal

Answers

Answer:

7. Is answer

Step-by-step explanation:

Because 3+4=7

What is the distance, rounded to the nearest tenth, between the points (2, 1) and (6, 6)? Enter the answer in the box.
units​

Answers

Answer:

6.4 should be the correct answer

Step-by-step explanation:

if im wrong and you wanted it in a different format im sorry

What is the volume of a cube that has a height of 10 inches? 10 inches

A:600 cubic inches
B:100 cubic inches
C:40 cubic inches
D:1,000 cubis inches​

Answers

Answer:

i think its B.

Thats only i know

(8 pts)
7. Solve the following system using a matrix and converting the matrix to reduced row
echelon form, without introducing any fractions.
3x - 2y + 5z = -7
x – y + 3z = -5
4x + y + z = 6

Answers

Answer:

{x,y,z} = {-22/13,29/13,6/13} 

Write the system as the following augmented matrix:

[tex]\left[ \begin{array}{ccc|c} 3 & -2 & 5 & -7 \\ 1 & -1 & 3 & -5 \\ 4 & 1 & 1 & 6 \end{array} \right][/tex]

Swap rows 1 and 2 :

[tex]\left[ \begin{array}{ccc|c} 1 & -1 & 3 & -5 \\ 3 & -2 & 5 & -7 \\ 4 & 1 & 1 & 6 \end{array} \right][/tex]

Eliminate the x coefficient from the last two rows by add -3 (row 1) to row 2, and -4 (row 1) to row 3 :

[tex]\left[ \begin{array}{ccc|c} 1 & -1 & 3 & -5 \\ 0 & 1 & -4 & 8 \\ 0 & 5 & -11 & 26 \end{array} \right][/tex]

Eliminate the y coefficient from the first and last rows by adding row 2 to row 1, and -5 (row 2) to row 3 :

[tex]\left[ \begin{array}{ccc|c} 1 & 0 & -1 & 3 \\ 0 & 1 & -4 & 8 \\ 0 & 0 & 9 & -14 \end{array} \right][/tex]

Eliminate the z coefficient from the second row by adding 4 (row 3) to 9 (row 2) :

[tex]\left[ \begin{array}{ccc|c} 1 & 0 & -1 & 3 \\ 0 & 9 & 0 & 16 \\ 0 & 0 & 9 & -14 \end{array} \right][/tex]

Eliminate the z coefficient from the first row by adding row 3 to 9 (row 1) :

[tex]\left[ \begin{array}{ccc|c} 9 & 0 & 0 & 13 \\ 0 & 9 & 0 & 16 \\ 0 & 0 & 9 & -14 \end{array} \right][/tex]

Then the solution to the system is (x, y, z) such that

9x = 13 and 9y = 16 and 9z = -14

or

x = 13/9 and y = 16/9 and z = -14/9

find the equation of the line that is perpendicular to the given line and passes through the given point. CD; (-2,1). C cornet point is (2,13). D cornet point is (5,7).

Answers

Answer:

  x -2y = -4

Step-by-step explanation:

The slope of the line between points C and D is ...

  m = (y2 -y1)/(x2 -x1)

  m = (7 -13)/(5 -2) = -6/3 = -2

The slope of the perpendicular line is the opposite reciprocal of this: -1/(-2) = 1/2. The point-slope equation of the desired line is ...

  y -k = m(x -h) . . . . line with slope m through point (h, k)

  y -1 = 1/2(x -(-2))

We can rearrange this to standard form.

  2y -2 = x +2 . . . . . multiply by 2

  -4 = x -2y . . . . . . . subtract 2y+2

  x -2y = -4 . . . . . . standard form equation of the desired line

How much momentum does a 50 kg mass moving west at 10 m/s have?

Answers

Answer:

  (a)  500 kg·m/s west

Step-by-step explanation:

Momentum is the product of mass and velocity.

  p = mv

  p = (50 kg)(10 m/2 west)

  p = 500 kg·m/s west

Determine the slope from the given graph below:

A ➼ The slope is -7
B ➼ The slope is−16
C ➼ The slope is 6
D ➼ The slope is -6

(Please help me! I'll mark brainliest and give five stars.<3)

Answers

Step-by-step explanation:

again (I just answered the same question), the slope is the ratio "y coordinate change / x coordinate change".

I see e.g the points

(-1, -1) and (0, -7) on the line.

x changes by +1 (from -1 to 0).

y changes by -6 (from -1 to -7).

so, the slope is -6/1 = -6.

so, D is the right answer.

Patrick gets an allowance of $30 per week. If he babysits his brother, his parents give him an additional $5 per hour for every hour he babysits. Which equation can Patrick use to find y, the amount of money he will have after a week in which x hours of babysitting is done?

y = 30 + 5x
y = 35x
y = 30x + 5
y = 30x

Answers

y = 30 + 5x! this is because he makes $30 no matter what so we won’t be multiplying it so it will not have a variable (x) next to it. then he gets an “additional” $5 an hour for every hour he baby sits. since if it is not always a solid like the $30 because he could babysit for 2 hours or 20. it has the variable (x) next to it!

I NEED HELP FOR MY FINALS PLS N TY!!!

1. Compute the length of a rectangle with a perimeter 40.2 in and width of 6.7 in.​

Answers

Answer:

13.4

Step-by-step explanation:

You would take the width x 2 which is 13.4. Now you subtract the combined width from 40.2. From here you are left with 26.8. Since this is a rectangle the length would be the same on both sides. You divide 26.8 by 2 and you get 13.4.

rotate point B about point F 288 degrees clockwise

Answers

When a shape is rotated, it must be rotated through a point

The new position of point B is point A

The angle of rotation is given as:

[tex]Angle = 288^o[/tex]

The shape is a regular pentagon (with 5 sides).

The smallest angle of rotation that maps the pentagon onto itself is calculated using:

[tex]\theta = \frac{360}n[/tex]

So, we have:

[tex]\theta = \frac{360}5[/tex]

[tex]\theta = 72[/tex]

Let the number of rotations be n.

So, we have:

[tex]\theta \times n= Angle[/tex]

This gives

[tex]72 \times n= 288[/tex]

Divide both sides by 72

[tex]n= 4[/tex]

This means that the new position of B is 4 points away from B.

Point A is 4 points away from B, in clockwise direction

Hence, the new position of point B is point A

Read more about rotation at:

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What is 2(n+7)+3n simplified and written in factored form?

Multiple choice question.


A)
5n+9



B)
5n+14



C)
3(2n+3)



D)
2(3n+7)

Answers

Answer:

B)

Step-by-step explanation:

2(n+7)+3n

now you multiply 2 though

2n+14+3n

Add common factors

5n+14

__________________________________________________________

Hope this helps!!

If I am wrong, please tell me, I enjoy learning from my mistakes:)

There are 5 boxes of chocolates. If taking 200g out of each box, the remaining chocolates in the 5 boxes are exactly the same weight as the original 4 boxes. How many grams of chocolate is in each box?​

Answers

Answer:

1000

Step-by-step explanation:

So the taken chocolate weight equals to the original 1 box of chocolate.

Thus there are 200 x 5 = 1000g.

The orginal chocolate has 1000g each.

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