The area of a bulletin board is 90 ft. The length is nine feet less than four times the width. Find the length and the width, in feet, of the bulletin board.
width
ft
length
ft
+

Answers

Answer 1
Area (A) = 90 ft
Width = x
Length = 4x - 9

A = L*W, so the equation is:
x(4x - 9) = 90

Solve:
4x^2 - 9x = 90
4x^2 - 9x - 90 = 0
(4x + 15)(x - 6) = 0
4x + 15 = 0
4x = - 15
x = -15/4
^^^ reject because distance can’t be negative
x - 6 = 0
x = 6 ft (width)

Length = 4x - 9
L = 4(6) - 9
L = 24 - 9
L = 15 ft

Check:
A = L*W
90 = 15 * 6
90 = 90

Answer: The length is 15 feet and the width is 6 feet.

Related Questions

please help me solve this !
will mark brainliest !
(spammers reported)

Answers

Answer:

it is five

Step-by-step explanation:

5v-2=8 then v=x2 because 5x2=10-2=8

so 7v-9=5

The correct answer is 5

1 of 12
Solve for X
x + 15 = 21
X =
=
0

Answers

Answer:

X=6

Step-by-step explanation:

To find the answer you could do 21 - 15 and that gets you an answer of 6 and thats how to get your answer.

Nicole has a pack of playing cards & she chooses a card at random. what is the probability that she picks an ace?
Give your answer as a fraction in its lowest form

Answers

Answer:

1/13 (1 in 13)

Step-by-step explanation:

so, there's 4 aces in a standard deck of 52 cards.

so far, we can see this as 4/52 (4 in 52)

these are both divisible by 2, lets go ahead and simplify that to 2/26

still divisible by 2. this then becomes 1 /13

so, she has a 1/13 (1 in 13) chance to get an ace.

detailed explanation and answer please 20 points

Answers

Step-by-step explanation:

The first part of solving the area is multiplying the rectangle. So you do 15*18 which is 270. Then to solve a triangle you make it a square/rectangle. So it would be 8*15 which is 120. Because the length is the length of the rectangle and the width is shown on top. Then because it’s a rectangle not a triangle you divide by 2 because you were adding half to it when you were making it a rectangle. So it’s 120/2 which is 60. And 270+60 is 330. So the area is 330. To get the perimeter you add all the sides together. And because one of the sides is not added but half of the bottom line is the same length as the top so it would be 18+ the 8 on the top which is 26. So 15+18+17+26 is 76. So the perimeter is 76

So the answer is the bottom one. P=76 and A=330

write and equation of a parabola with the vertex of (0,3) and the focus of (-8,3)

Answers

Answer:

(y-3)²= -32x

Step-by-step explanation:

1) the required equation has a form: (y-y₀)²=-2p(x-x₀), where (x₀;y₀) - vertex (0;3), p - parameter of the given parabola;

x₀=0; y₀=3.

2) according to the conditiion F(-8;3)=F(x₀+p/2; y₀), it means (x₀+p/2; y₀)=(p/2;3), then p/2= -8; ⇒ p= -16.

3) finally, p= -16; x₀=0; y₀=3, then it is possible to make up the required equation:

(y-3)²= -32x.

PS/ if it is possible check the suggested solution in other sources.

Does anyone know this?

Answers

Answer:

8/21

Step-by-step explanation:

-1/3 + 5/7=1×7 =-7/21 +15/21

- × -

3. 7

-7/21 + 15/21= -7+15 = 8/21

-----

21

PLEASE HELP look at this screenshot is it a, b, c, or d

Answers

Answer:

D.

Step-by-step explanation:

Given triangle TVU list the sides of the shortest to longest

Answers

Answer:

VU, VT, TU

Step-by-step explanation:

List the side lengths of triangle TUV from shortest to longest.

A. VU, VT, TU

B. VT, TU, VU

C. VT, VU, TU

D. VU, TU, VT"

answer? (worth a lot of points.)

Answers

Answer:

Every 20th caller on "Radio Station Z" recieves a free give-away prize. Write an expression to show how many winners there will be. Let "x" represent the number of total callers and "y" represent the number of winners.

Step-by-step explanation:

Pls mark as brainliest

Hope this helps!

Susie is visiting Greece from the U.S. One day she stopped by a market and found a stall selling tomatoes for 1.92 euro per kilogram. If 1 euro was worth 1.09 dollars that day, how much did the tomatoes cost in dollars per pound?

Answers

can you help me this 4^x x ^8^x^+^1 = 2⁴

1. х2 - 3x = 16 solve quadratic​

Answers

Answer:

[tex]\frac{3+/-i\sqrt{55} }{2}[/tex]

Step-by-step explanation:

[tex]x^2-3x=16[/tex]

Subtract 16 from both sides;

[tex]x^2-3x-16=0[/tex]

[tex]\frac{-(-3)+/-\sqrt{(-3^2)-4(-16)} }{2}=\frac{3+/-\sqrt{9-64} }{2}=\frac{3+/-\sqrt{-55} }{2}=\frac{3+/-\sqrt{55i^2} }{2} =\frac{3+/-i\sqrt{55} }{2}[/tex]

Look at the screen shot teach me how to do this thank you.

Answers

Answer:

Slope intercept form (y = mx + b) = [tex]y = \frac{2}{3} x + \frac{7}{3}[/tex]

X intercept (slope): [tex](-\frac{7}{2} , 0)[/tex]

Y Intercept: [tex](0, \frac{7}{3} )[/tex]

Step-by-step explanation:

To find the x-intercept, substitute in  0  for  y and solve for  x.

To find the y-intercept, substitute in  0  for  x and solve for  y.

Hope this helps! :D

Step-by-step explanation:

solve for y

[tex]3y - 7 = 2x[/tex]

isolate the y variable to one side

let's first add 7 to both sides of the equation

[tex]3y - 7 + 7 = 2x + 7[/tex]

sevens on the left side of the equation cancel so we get

[tex]3y = 2x + 7[/tex]

Now let's divide everything in the equation by 3 to further isolate the y variable

[tex] \frac{3y}{3} = \frac{2x}{3} + \frac{7}{3} [/tex]

The threes on the left hand side of the equation cancel

[tex] y = \frac{2}{3}x + \frac{7}{3} [/tex]


For a 4-units class like Statistics, students should spend average of 12 hours per week studying for the
class. A survey was done on students, and the distribution of total study hours per week is bell-shaped with
a mean of 15 hours and a standard deviation of 3 hours.
ic Success
raries Online
Use the Empirical Rule to answer the following questions.
and
hours on this
ft Teams
gs
a) 68% of the students spend between
class.
b) What percentage of the students between 6 and 18 hours on this class?
c) What percentage of the students above 9 hours?

Answers

) 68% of the students spend between

class.

[tex] \frac{68}{100} = \frac{17}{25 } [/tex]

Can you help me with this please I don’t understand

Answers

Answer:

12

742

127.5

Step-by-step explanation:

If it's the area that 6*4=24, but it's not sqaure it's half ,so 24/2=12

742

127.5

What is 35% of $2,195.73

Answers

768.51 dollars should be your answer it is 2195.73 * 0.35

Answer:

768.51

Step-by-step explanation:

To find 35% change the percentage to a decimal (.35)

Then multiply the original amount by .35

2195.73 *.35

768.5055

Since this is money, we round to the nearest cent

768.51

Halla el 72% de 40 por favor ayúdenme a verificar si lo hice correcto

Answers

The answer is 28.80
Can I get brainliest answer

The perimeter P of a triangle is equal to the sum of the lengths of sides a, b, and c.

Answers

The given statement "The perimeter P of a triangle is equal to the sum of the lengths of sides a, b, and c" is absolutely correct.

What is the perimeter?

Perimeter is the addition of an external measure of sides it will always positive.

A perimeter is a length and has a degree of the unit as one.

For example

Perimeter of square = side + side + side + side

The perimeter of the circle = πd where d is the dia of the circle.

Given a triangle with sides a,b and c

The perimeter of triangle is = a + b+ c

So,

The perimeter of the triangle is the sum of all sides.

Hence The given statement "The perimeter P of a triangle is equal to the sum of the lengths of sides a, b, and c" is absolutely correct.

To learn more about Perimeter,

https://brainly.com/question/6465134

#SPJ2

What is the distance between the points (4,7) and (4, -5)

Answers

The answer would be 12

Hope this helps!

Answer: It is 12

Step-by-step explanation:

 50, 25, 12.5….
What is the geometric sequence and what is the 8th and 10th term

Answers

the common ratio can be found by dividing any term by the previous one.

clearly r = -1/2

So, Tn = -100 (-1/2)^(n-1) = 200/(-2)^n

Which of the following is the simplified form of m +5m16.
m-2
A
m24
m-3
C.
+3
T+2
B.
D. (m+3)(m-2)
m-2

Answers

Answer:

sorry but I don't know

Step-by-step explanation:

pa follow pa follow

Help me please please ..........

Answers

Answer:

D

do you rlly need an explanation?

Answer:

b-16/25

Step-by-step explanation:

cause 0.64 would be 64/100 but I can be simplified down to 32/50 but that also could be simplified down to 16/25 which would be your answer because it can not be simplified any more

Without calculating determine wether the product is positive or negative

Answers

Answer:

Positive because a negative times a negative is a positive

Step-by-step explanation:

helen has a basket of apples. bob has 2/3 the amount of apples in his basket. if the difference in the amount of apples in their baskets is 9, find the amount of apples helen and bob have in their baskets. WILL GIVE BRAINLIEST IF CORRECT!

Answers

Answer:

Helen has 27 apples and Bob has 18.

Step-by-step explanation:

Need help on #9 and #10 please ASAP. Was busy with a family emergency and missed my class on this.

Answers

Answer:

#9

given, angle BOD = 95 degree

and angle     COD = 35 degree

assume that, angle BOC = x degree

so, angle BOC + angle COD = angle BOD

or, x + 35 degree = 95 degree

so, x = 95 degree - 35 degree = 60 degree

so, angle BOC = 60 degree

#10

given, angle AOC = right angle = 90 degree

and angle    AOB = 30 degree

assume that, angle BOC = y degree

so, angle AOB + angle BOC = angle AOC

or, 30 degree + y = 90 degree

so, y = 90 degree - 30 degree = 60 degree

so, angle BOC = 60 degree

Step-by-step explanation:

1. What is the greatest common factor of 16, 24, 40? *
1 point
A. 4
B. 8
C. 9
D. 12
2. Which of these sets is the common factors of 36 and 42? *
1 point
A. 1, 2, 3
B. 1, 4, 6
C. 1, 3, 6
D. 1, 2, 6
3. What is the GCF of 32, 48, 64? *
1 point
A. 8
B. 12
C. 16
D.. 18
4. Calixto was asked to find the GCF of 42 and 49. What number did he find?
1 point
A. 4
B. 5
C. 6
D. 7
5. Sixty notebooks, 48 ball pens and 36 correction tapes are shared among a number of grade 5 pupils such that each gets an equal number of each kind. How many pupils will get an equal number of each kind.
1 point
A. 5
B. 10
C. 12
D. 15
6. What is the first 4 multiples of 9? *
1 point
A. 5,7,9,12
B. 9,17,20,29
C. 9,18,27,36
D. 9,10,19,29
7. What are the common multiple of 3,4 and 6? *
1 point
A. 12,24,30
B. 12,24,32
C. 12,24,36
D. 12,24,42
8. Which of the following is the LCM of 8, 12 and 20? *
1 point
A. 120
B. 220
C. 260
D. 280
9. The LCM of 18, 24 and 36 is 60. *
1 point
A. True
B. False
C. Maybe
D. I'm not sure
10. The School Canteen serves chicken and barbecue every 5 days and vegetable lumpia every 4 days. On which days are both dishes served? *
1 point
A. every 16th day
B. every 20th day
C. every 25th day
D. every 40th day

Answers

Answer:

1. B

2. C

3. A

4. D

5. C

6. C

7. A

8. A

9. B

10. B

Step-by-step explanation:

Answer:

the answer is 4

Step-by-step explanation:

What is (-4)x(-6)= that’s it

Answers

Answer:

24

Step-by-step explanation:

the negatives cancel each other out

24 the negatives cancel each other out

What is the first step needed to solve 6- X-5=-132
A: Subtract 13 from both sides
B: Divide both sides by 7
C: Add 5 to both sides
D: Multiply both sides by 4​

Answers

C. That’s the first step
The first step needed to solve that equation is c hope it helps please mark me brainliest

Graph the equation.
y=-3x - 4

Answers

Step-by-step explanation:

Goes down 4 since it's a negative

njsfkulrnfijrirjir help me help me help me help

Answers

Answer:

d.13/24

Step-by-step explanation:

What is the slope of the line that passes through the points (-4, 0) (-4, -10)

Answers

Answer:

The slope is undefined.

Step-by-step explanation:

If the x value stay the same between a set of points, the slope of the line will be undefined.

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