B. Solve the problem:

Mrs. Reyna is planning to fence her vacant lot for a parking space. The desired length of the lot is 6 m longer than its width. What will be the possible dimensions of the rectangular parking space if it should be less than 40m2?
(Hint: length x width = Area of rectangle)

Answers

Answer 1

Answer:

Step-by-step explanation:

Given

Area of the rectangle =Length × width

Given

The desired length of the lot is 6 m longer than its width, then L = 6+W

A = LW

40 = (6+W)W

40= 6W+W²

W²+6W -40 = 0

W²+10W-4W-40 = 0

W(w+10)-4(w+10) = 0

W+10 = 0 and w-4 = 4

W = -10 and w = 4

Width can't be negative

W = 4m

Since L = 6+w

L = 6+4

L = 10m

Hence the possible dimension s 4m by 10m


Related Questions

Jack added 6.5 sales tax to the price, , of a new cell phone. What is another way to find the total cost of the cell phone?

Answers

Anwser:


Well first of all, I would need the original price of the cell phone to calculate this, so yeah

does anyone know how to do this

Answers

is this something along the lines of SSA SAS things like that? i can look back in my notes and see if this is what you’re learning

Elizabeth can type 250 words in 5 minutes. What are the units?
Your answer

Answers

Answer: 50 words per minute

Step-by-step explanation:

250 words per 5 minutes DIVIDE BOTH NUMBERS BY 5

50 words per 1 minute

Hannah finds that the amount of time she spends studying for her history tests affects her grade on the test. Which statement describes the relationship Hannah is observing?

Answers

Answer:

Step-by-step explanation:

There are not statements. But...

If she studies more her grade is better.

The more she studies, the more her grade goes up.

The less she studies, the more her score goes down.

Just some guesses for you. Match up with your statements.

Hannah is observing he following relation {G} [tex]$\alpha[/tex] {1/T}

What is a mathematical function, equation and expression?          

Function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function

Expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators

Equation : A mathematical equation is used to equate two expressions.

Given is that Hannah finds that the amount of time she spends studying for her history tests affects her grade on the test.

Let the amount of time she spends studying for her history tests is denoted by the variable {T}.

Let her grade is denoted by the variable {G}. So, we can write -

{G} [tex]$\alpha[/tex] {1/T}.

Therefore, Hannah is observing he following relation -

{G} [tex]$\alpha[/tex] {1/T}.

To solve more questions on functions, expressions and polynomials, visit the link below -

brainly.com/question/17421223

#SPJ5

If the circumference of a circle and the perimeter of a square are equal, then
(a) Area of circle = Area of the square
(b) Area of circle > Area of the square
(c) Area of circle < Area of the square
(d) Nothing definite can be said about the relation between the areas of the circle and square​

Answers

Answer:

nothing definite can be said and square

Answer:

option no b is correct area of circle>area of square.

Step-by-step explanation:

I need hep with the range

Answers

Answer:

[-7, 6]

Step-by-step explanation:

The range is the y values that the equation/line covers.

The line's lowest point is -7 and the line's highest point is 6. The value is defined at both -7 and 10 since there is a closed circle in both locations- so we use brackets.

I need help please!!!!

Answers

Answer:

a. 10%

b. 80%

c. 20%

Step-by-step explanation:

Hope this helps!

х- 1, 2, 3 ,4
y-20, 18,-7, -2.
James modeled the data with a linear best-fit equation. Which X-value
has the largest residual?
A 1
B. 2
C. 3
D. 4​

Answers

I think it’s C, good luck

Pls I Need Help Fastttt

Answers

Answer:

2

Step-by-step explanation:

Your answer will be (a)

Solve *
(7 Points)
9a + 28 = 4a +3
A -30
B 20
C 6.2
D -5

Answers

Answer:

D -5

Step-by-step explanation:

9+28−28=4+3−28

9=4−25

9−4=4−25−4

5a=−25

5

=

2

5

5a=-25

5a=−25

5a/5

=−25/5

a=-5

5. What is the equation of a line that is perpendicular to -x + 2y = 4 and passes through the point (-2,1)?
a.
Write the equation -x + 2y = 4 in slope-intercept form
b. Identify the slope of the line represented in part a.
C.
What is the slope of the line perpendicular to the line in steps a and b?
d. Write the equation of the perpendicular line in slope-intercept form.

Answers

Answer:

Please check the explanation.

Step-by-step explanation:

Given the equation

[tex]-x + 2y = 4[/tex]

a) writing the equation in the slope-intercept form

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

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

where m is the slope of the line

so writing the equation in the slope-intercept form

[tex]-x + 2y = 4[/tex]

[tex]2y=4+x[/tex]

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

b) Identify the slope of the line represented in part a

As the equation in slope-intercept form is

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

Here,

m = slope = 1/2     ∵ [tex]y=mx+b[/tex]

c) What is the slope of the line perpendicular to the line in steps a and b

As we know that the slope of the perpendicular line is basically the negative reciprocal of the slope of the line, so

As the slope = 1/2

So the slope of the perpendicular line will be: -2

d. Write the equation of the perpendicular line in slope-intercept form.

Therefore, the point-slope form of the equation of the perpendicular line that goes through (-2,1) is:

[tex]y-y_1=m\left(x-x_1\right)[/tex]

substituting the values m = -2 and the point (-2,1)

[tex]\:y-1=-2\left(x-\left(-2\right)\right)[/tex]

[tex]y-1=-2\left(x+2\right)[/tex]

Add 1 to both sides

[tex]y-1+1=-2\left(x+2\right)+1[/tex]

[tex]y=-2x-3[/tex]

A litter of puppies had 2 white puppies and 5 brown puppies. What percent of white puppies are in the litter? Round to the nearest whole number

Answers

Answer:

29%

Step-by-step explanation:

0.28571428571 as an approximate percent is 29%. There are 2 white puppies and 7 total puppies(2 white + 5 brown)

Hope this helps!

Answer:

29%

Step-by-step explanation:

0.28571428571 is the original number which makes 29%

Hope this helps! Have a great day :)

please someone help asap i will give brainliest

Answers

Answer:

Step-by-step explanation:

c≥ -1.95

[-1.95,∞)

solid circle on -1.95 and go right

What is the image of the point (0, -1) after a rotation of 180° counterclockwise
about the origin?

Answers

Step-by-step explanation:

(x,y)=(-x,-y)

(0,-1)=(-0,1)

It will take 20 points to make the playoffs, the Hockey Team coach told the players. "We get 2 points for a win and 1 point for a tie." Let be the number of wins and be the number of ties. Write an equation to describe the values of and that will let them make the playoffs.​

Answers

Answer:

[tex]2x+y\geq 20[/tex]

Step-by-step explanation:

Given that total points required to make the playoffs = 20 points

As there is 2 points for a win,

so points earned for x win = 2x

Similarly, as there is 1 point for a tie.

so points earned for y ties = 1[tex]\times[/tex] y= y

Total points earned for x win and y ties = 2x+y

As the team makes the playoff so the total points of the team must be equal to or greater than 20 points (i.e the minimum points to make the playoff), so

[tex]2x+y\geq 20[/tex]

Hence, the required equation is [tex]2x+y\geq 20[/tex].

355 divided 14 hiksdjkndndf

Answers

Answer:

Rounded to the nearest whole number is 25

Help with 10 c). Plssss

Answers

Answer: It’s B or E I would go with id say E

Step-by-step explanation:

How could the formula for perimeter be rearranged to find the length of the playground?

Answers

P = 2l + 2w
p - 2w = 2l
l = p-2w/2
It would be the third response

Answer:

The third option

Step-by-step explanation:

the formula is basically reversed, you can check it yourself by giving the W and L fake values then execute the first formula then the second formula and you will receive the value of your length as your answer

How do I solve this and check all the solutions?

Answers

Answer:

x = 2

Step-by-step explanation:

(Square both sides)

20 - 8x = x^2

(Solve 20 - 8x = x^2)

x = 2 , x = 10

x = 10 is false, so the answer is x = 2.

Answer:

x=2

Step-by-step explanation:

√20-8x=x

2√5-2x=x (by simplfing redical expression)

4(5-2x)=x^2 (square both side)

20-8x=x^2

20-8x-x^2=0

-x^2-8x+20=0

x^2+8x-20=0

x=2

Note:There is a another answer x=-10 But it's wouldn't fit out with this equation

There are 4 tablespoons in cup. There are 2 cups in 1 pint. How many tablespoons are there in 1 pint?

Answers

Answer:

there are 32 tablespoons in 1 pint .

Step-by-step explanation:

beacause i asked siri .

Of the 50 students in Mr.Mitchell’s classes, 60% are girls.On Friday, 20% of the girls in the class wore jeans.How many girls wore jeans

Answers

Answer:

6 girls

Step-by-step explanation:

60/100 x 50 = 30

30 girls in class

20/100 x 30 = 6

6 girls are wearing jeans

i'll mark you as brainliest ​

Answers

Answer:

y=x-4

Step-by-step explanation:

We can see that x is always 4 times larger than y or y is always 4 times less than x

This means that y=x-4

Answer:

The Answer Is "y = x - 4"

Hope This Helped :)

Please please help me answer number 14

Answers

Answer:

A and E is base angle.

B and D is leg.

F is base.

C is vertex angle.

Thank you and please rate me as brainliest as it will help me to level up

Answer:

answer below

Step-by-step explanation:

a base angle

b leg

c vertex angle

d leg

e base angle

f base

can someone please help me

Answers

Answer:

a. h(t) = 5t + 10

b. 70

c. h(5) = 35 means that in 5 seconds, it will be 35 feet above ground.

Step-by-step explanation:

a. Since the elevator is already 10 feet of the ground, u have to add that in the equation. And since it's 5 feet per second, 5 will be a multiplier so:

h(t) = 5t + 10

b. We have the equation already and in the equation it said that "t" represents the seconds so just replace 1 with 12:

h(12) = 5(12) + 10

h(12) = 60 + 10

h(12) = 70

c. Refer to b that we just did if u will, "t" represents seconds so h(t) becoming h(5) means 5 seconds. So h(5) = 35 means that in 5 seconds, it will be 35 feet above ground.

There are 500 sheets in a pack of paper. 500 sheets of paper weigh 2.5kg.
Work out the weight of 50 sheets of paper.

Answers

Answer:

It's a proportion:

500=2.5

50=x

2.5×50:500=0.25kg

50 sheets weigh 0.25 kg

Step-by-step explanation:

Answer:

0.25

Step-by-step explanation:

the weight of a sheet = 2.5kg/500

the weight of a sheet = 0.005kg

the weight of 50 sheets = 0.005 * 50

the weight of 50 sheets = 0.25kg

OR

since it's a uniform rate

500 sheets = 2.5kg

50 sheets = xkg

then you cross multiply.Having:

500*x = 2.5 * 50

500x = 125

then x = 125/500

x = 0.25

Sue made a quilt pattern from 16 congruent pieces of cloth shaped like isosceles right triangles. She cut the pieces so that the legs of each triangular piece are 6 inches
long

Answers

Answer:

Option (D)

Step-by-step explanation:

Sue made a quilt pattern comprising 16 congruent isosceles right triangles.

She cuts the pieces of triangle having each leg = 6 inches

By applying Pythagoras theorem in isosceles triangle,

(Hypotenuse)² = (leg 1)² + (leg 2)²

x² = 6² + 6²

x² = 72

x = √72

x = 8.485

x ≈ 8.5

Option (D) will be the correct option

Answer:

The answer is D. (8.5)

Step-by-step explanation:

Please help!!!!!!!!!​

Answers

Answer:

1/8 or 0.125

Step-by-step explanation:

hope this helped

Multiply the first top and the lower part together
3 x 1 x 7 = 21
7 x 3 x 8= 168
21/168 => 1/18

Mia pays $178 every 4 months for her piano lessons. At this rate, how much will Mia pay for 3 years of piano lessons?

Answers

Answer:

I think the answer is 734.

Step-by-step explanation:

You do $178 x 4 months = 716

716 x 4 years is 734

Mia pays $178 every 4 months.
So Mia pays $178 3 times in a year.
How much will Mia pay for 3 years of piano lessons.

178 x 3 = $534 = The 1st Year
178 x 3 = $534 = The 2nd Year
178 x 3 = $534 = The 3rd Year

$534 x 3 = $1,602

For 3 years of piano lesson Mia pays $1,602.

In a survey of 2,700 people who owned a certain type of​ car, 1,485 said they would buy that type of car again. What percent of the people surveyed were satisfied with the​ car

Answers

Answer:

35%

Step-by-step explanation:

А A
B
D
If m_ABD = 64°, and mZCBD = 30°,
then m ABC = [?]°

Answers

Answer:

34 degrees

Step-by-step explanation:

If ABD = 64, and CBD is 30, we can use PWP( Part Whole Postulate)

Step 1.CBD + ABC = ABD

Step 2. Substitute

30 + ABC = 64

Step 3. Isolate ABC

34 = ABC

ABC is 34 degrees

9514 1404 393

Answer:

  34°

Step-by-step explanation:

It should be fairly intuitive that the two smaller angles add to give the value of the larger one. (Even if it's not, the angle sum theorem tells you this is true.)

  ∠ABC + ∠CBD = ∠ABD

  ∠ABC + 30° = 64°

  ∠ABC = 34° . . . . . . . . . subtract 30° from both sides of the equation

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