A rectangular garden is 15 ft longer than it is wide. Its area is 450
ft^2
. What are its dimensions?

Width equals =------

Length equals=-----

Answers

Answer 1

Answer:

Width= 15ft and Length= 30 ft

Step-by-step explanation:

Length=15+w

Area=450 ft square

(15+w)(w)=450

w²+15w=450

w²+15w-450=0

(w+30)(w-15)=0

w= -30, 15

width can't be negative so possible answer is 15 ft

Length = 15+15=30 ft


Related Questions

What is the average rate of change from n = 1 to n = 2 for the sequence an = 2(2)n − 1

Answers

Answer: 2

Step-by-step explanation:

[tex]a_{n}=2(2)^{n-1}\\\\a_{1}=2(2)^{1-1}=2\\\\a_{2}=2(2)^{2-1}=4[/tex]

Average rate of change:

[tex]\frac{4-2}{2-1}=\boxed{2}[/tex]

What is the domain of the function y = StartRoot x + 6 EndRoot minus 7?

Answers

In the set of real numbers square roots are only defined for values greater than or equal to zero.
(x + 6) > = 0
x > = -6

Answer: B

Step-by-step explanation:

Edge 2023

Find the area of a circle with a diameter of 10 ft. ( = 3.14)

Answers

Answer:

78.5 ft² or25π

Step-by-step explanation:

Find the area of a circle with a diameter of 10 ft.

Area of a Circle  

A = π × r²

r = diameter : 2

10 : 2 = 5 ft (radius)

A = π × 5²

A = 3.14 * 25

A = 78.5 ft²

78.5 is the area of the circle using the formula

Given ZW=20. Answer the questions please. ​

Answers

a) Corresponding angles of similar figures are congruent, so [tex]\angle B \cong \boxed{\angle Z}[/tex]

b) Scale factor = (image)/(preimage). Since we are looking for ABCD to WZYX, this means that WZYX is the image and ABCD is the preimage. Thus, the scale factor is [tex]\frac{25}{10}=\boxed{5/2}[/tex]

c) Since the scale factor is 5/2,

[tex]\frac{20}{t}=\frac{5}[2}\\\\40=5t\\ \\ t=\boxed{8}[/tex]

If a participant skips hard to answer questions in a survey, it causes
A.nonadherent bias
B.sampling bias
C.response bias
D.nonresponse bias
E.researcher bias

Answers

Answer:

I think non response bias because response bias includes answering incorrectly on a survey to get it over with so that is my answer

Step-by-step explanation:

Find the solution to the following system by substitution.
5x + y = 20
y = 5x

A. (2,10)
B. (4,0)
C. (0,20)
D. (4,20)​

Answers

Answer:

A. (2,10)

Step-by-step explanation:

5x + y = 20

y = 5x

The second equation is already solved for y, so substitute 5x for y in the first equation to find x.

5x + 5x = 20

10x = 20

x = 2

Now substitute 2 for x in the second original equation to find y.

y = 5(2)

y = 10

Answer: (2, 10) which is A.

Answer: A. (2, 10)

Step-by-Step Explanation:

=> 5x + y = 20 (Eq. 1)
=> y = 5x (Eq. 2)

Substitute value of ‘y’ from Eq. 2 in 1 :-

5x + y = 20
5x + (5x) = 20
10x = 20
x = 20/10
=> x = 2

Therefore, x = 2

Substitute value of ‘x’ in Eq. 2 :-

y = 5x
y = 5(2)
=> y = 10

Therefore, y = 10

Hence, x = 2 and y = 10 (2, 10)

NEED THIS DONE ASAP!! Thank you!!​

Answers

Answer:

  arc BC = 75 degrees

Step-by-step explanation:

The angle where chords cross is half the sum of the intercepted arcs. This relation can be used to find x and the angle and arc measures.

__

The angle relation is ...

  1/2((8x +11) +(9x -7)) = (8x +6)

  17x +4 = 16x +12 . . . . . . . multiply by 2 and simplify

  x = 8 . . . . . . . . . . . . . . subtract 16x+4 from both sides

Then the measure of arc BC is ...

  arc BC = 8x+11 = 8(8) +11 = 75 . . . degrees

_____

Additional comment

We can compute the other measures just to make sure they have the desired relationship.

  angle BAC = 8x+6 = 70 . . . degrees

  arc FD = 9x -7 = 65 . . . degrees

Since 70 = (65 +75)/2, these measures work out as expected.

THERE ARE 5 RED MARBLES, 8 BLUR MARBLES, AND 12 GREEN MARBLES IN A BAG. SEVERAL TRIALS ARE PERFORMED WITH THE RESULTS SHOWN IN THE TABLE. WHAT IS THE EDPERIMENTAL PROBABILITY OF RANDOMLY DRAWING A GREEN MARBLE?

Answers

The experimental probability is 56% i.e., 28.

What is probability?

The probability is the measure of the likelihood of an event to happen.

Given:

Total marbles= 8 + 12 + 5= 25 marbles

Total trials= 12+28+10 = 50 trials

So,  the experimental probability is 56% for the green marble.

= 56% of 50

= 56 /100 *50

= 56/2

= 28

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Select the graph that represents the correct answer to the equation.
5y = 3x - 5

Answers

Given:

The given equation is 5y=3x-5

Find: Draw the graph

Explanation:

It is given that 5y=3x-5. Substitute x=0 into the given equation we have

[tex]5y = 3x - 5[/tex]

[tex]5y = 3(0) - 5[/tex]

[tex]5y = - 5[/tex]

[tex]y=-1[/tex]

Now, substitute x=5 into the given

equation we have

[tex]5y = 3(5)-5[/tex]

[tex]5y = 15-5[/tex]

[tex]5y = 10[/tex]

[tex]y = 2[/tex]

The points are (0,-1) and (5,2).

Therefore, the required graph is

Hence, the required graph is obtained.

What is the solution, if any, to the inequality |3x|_>0
O all real numbers
O no solution
O x_>0
O x≤0

Answers

Answer:

C , x>0

Step-by-step explanation:

anything times 0 is 0 and 3x has to be larger than 0

Circle O is shown. Line segment J E is a diameter and line segment O B is a radius. A line is drawn from point J to point B to form a chord. Tangents B D and E D intersect at point D outside of the circle.
Use the diagram to complete the statements.



The measure of angle EJB is
the measure of angle BOE.



The measure of angle BDE is
the measure of angle BOE.



The measure of angle OED is
✔ equal to
the measure of angle OBD.

Answers

The measure of angle OED is the measure of angle OBD. Then the correct option is C.

What is a circle?

It is the center of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.

Circle O is shown.

Line segment JE is a diameter and line segment OB is a radius.

A line is drawn from point J to point B to form a chord.

Tangents BD and ED intersect at point D outside the circle.

The radius and tangent are orthogonal to each other.

∠OED = ∠OBD = 90°

Then the correct option is C.

The complete question is given below.

Circle O is shown. Line segment J E is a diameter and line segment O B is a radius. A line is drawn from point J to point B to form a chord. Tangents B D and E D intersect at point D outside of the circle.

Use the diagram to complete the statements.

The measure of angle EJB is the measure of angle BOE.

The measure of angle BDE is the measure of angle BOE.

The measure of angle OED is the measure of angle OBD.

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Answer:

one-half, 180 minus, equal to

Step-by-step explanation:

Question 9 of 10
For what value of x is the rational expression below equal to zero?
3x + 15
6-x
OA. -5
OB. 5
O C. 6
OD. -6
UBMIT

Answers

Answer:

A. -5

Explanation:

For (3x + 15)/(6 - x) to be equal to zero. Set the equation to 0.

Doing so:

(3x + 15)/(6 - x) = 0

3x + 15 = 0(6 - x)

3x + 15 = 0

3x = -15

 x = -15/3

 x = -5

Therefore, the value of x is -5 to equal to zero.

Packs of stickers
Buy for €1.50a pack
Sell For £2.25 a pack
Media buys 5 pack's and sells them all
How Much profit does she
Make ?

Answers

Answer:

€3.75

Step-by-step explanation:

1. Formulate:

5×(2.25 - 1.5)

2. Calculate:

5×(2.25-1.5)

5× 0.75

=3.75

Answer

3.7/ €3.7

From Kansas City to Denver is twice as far as from Kansas City to St. Louis the two distance together total 900 miles what are the two distance?

Answers

Answer:

KC to StL = 300

KC to Den = 600

Step-by-step explanation:

KC to StL was the base distance, so we'll call that x.

KC to Denver is twice as long, so we'll call that 2x.

If we add the together is is 900 miles total.

x + 2x = 900    Combine like terms

3x = 900          Divide by 3

x = 300

If x is 300, then 2x is 600.

Write an algorithm to find Area of square?​

Answers

Step-by-step explanation:

AREA OF SQUARE:

A square is simply a rectangle with equal sides. As a result, the length and breadth of a square are equal. As a result, the area of a square is the product of two square sides, or in simpler terms, squares of the side.

Area = Side^{2}Area=Side

2

We use the following formula to compute the area of a rectangle after being given the length and width of the rectangle as input.

ALGORITHM:

Step 1 : Start

Step 2: Input Side

Step 3: Area = Side \times× Side

Step 4: Print area

Step 5: Stop

Given (x – 7)2 = 36, select the values of x.

Answers

Answer:

x = 25

Step-by-step explanation:

Solve by isolating x:
(x-7)2 = 36
x-7 = 18
x = 25

Which of the following numbers of replications of an experiment would make
the results most conclusive?
A. 4
B. 12
C. 1
D. 2

Answers

The answer would be b or number 12
The answer to the question is b.

Write the slope-intercept form of the line that has a slope of 2 and intersects the line, 2X - 3Y = 6 at X = 3

Answers

The slope-intercept expression for the line is, y=2x-6

The slope-intercept formula is the one we require for this issue.

y = mx + b is the expression that provides the answer.

where 'm' is the equation's scale's slope and 'b' is the y-intercept, or the point on the y-axis in which the line intersects, respectively.

Since, the x-intercept of the line 2x-3y=6 is (3, 0), we desire the following line's expression, which has a slope of 2, to pass over the position (3,0).

Use the formula y=mx +b, x=3, y=0 to get 'b'.

Hence,

0 = 2(3) + b

⇒ b= -6,

∴The expression for the line is y= 2x-6.

This line will cross at x=3 and 2x-3y=6.

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Write the equation in standard form. Then factor the left side of the equation
3x2 + 19x = 14 .

A. (3x – 2)(x + 7) = 0
B. (3x + 2)(x – 7) = 0
C. (2x – 3)(x + 7) = 0
D. (2x + 3)(x + 7) = 0

Answers

standard form: A. (3x-2)(x+7)

x= -7 and 2/3

A company is considering producing some new products. Based on past records, management believes that there is a 70% chance that each of these will be successful, and a 30% chance of products were predicted to be successful based on market research 90% of the time. However, failure. Market research may be used to revise these probabilities. In the past, the successful for products that failed, the market research predicted these would be successes 20% of the time.

Answers

The probability that the results indicate an unsuccessful market for the product and the product is actually unsuccessful is P=0.77.

What is probability?

Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Events:

S: success

F: failure

MS: market research forecast a success

MF: market research forecast a failure

The information we have is:

P(S)=0.70

P(F)=0.30

P(S|MS)=0.90

P(F|MS)=0.20

If P(F|MS)=0.20, we can derive that P(F|MF)=0.80. That is, the failed products were predicted to be a failure based on market research 80 per cent of the time.

We also can conclude that P(S|MF)=0.10.

We can calculate the probability of having a forecast of a failure, given that the product is actually unsuccessful as:

[tex]P(MF|F) = \dfrac{P(F|MF)\times P(F)}{P(F|MF)\times P(F)+P(S|MF)\times P(S)}[/tex]

[tex]P(MF|F) =\frac{(0.8\times 0.3)}{0.8\times 0.3)+(0.1\times 0.7}[/tex]

[tex]P(MF|F) =\dfrac{0.24}{0.31}=0.77[/tex]

The probability that the results indicate an unsuccessful market for the product and the product is actually unsuccessful is P=0.77.

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If the hypotenuse of a 30-60-90 degree triangle is 14, what is the short leg?

Answers

Answer:

7 units

Step-by-step explanation:

The short leg is opposite the 30 degree angle

sin 30 = opposite side/ hypotenuse

         

Hypotenuse * sin 30 = opposite side = 14 * 1/2 = 7 units

PLEASE ANSWER NOW I DON'T HAVE 1 MINUTE


A fair dice is rolled 3 times in a row. The outcomes are shown below.

Calculate the probability of all three events occurring.


Roll Outcome

1st even

2nd prime

3rd multiple of 5

Answers

Answer:

answer is 5

Step-by-step explanation:

I think so

if yes L I k e

Create and solve a linear equation that represents the model, where circles and a square are shown evenly balanced on a balance beam.

Answers

A linear equation that represents the model is: x + 6 = 10; x = 4

How to solve linear equations?

Let us first define the variables based on the attached image of the ball balance:

Let x = number of balls that contains the square.

On the left side, we have; square + 6 balls

On the right side, we have; 10 balls

To balance this, we have;

x + 6 = 10

x = 10-6

x = 4

Thus, a linear equation that represents the model is:

x + 6 = 10; x = 4

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What is the slope of the line shown below?
A. 2/7
B.-7/2
C.-2/7
D. 7/2

Answers

Answer: C. -2/7
(WORK SHOWN BELOW)

Answer:

-2/7

Step-by-step explanation:

We can use the slope formula

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

    = ( 1-3)/( 3 - -4)

    = (1-3)/( 3+4)

    = -2/7

Convert base ten to numeral 3 to base 3?

Answers

Answer:

10 in base 3

Step-by-step explanation:

3 in base 10 =   10 in base 3

y - wy = m (solve for w)


I need an answer ASAP.

Answers

answer:

w = (-m+y)/y

Step-by-step explanation:

y-wy = m

-wy = m-y

y = -(m-y)/w

wy= -m + y

w = (-m+y)/y

.

PLEASE HELP ME ASAPPPP
Which statement best describes the relationship between the two figures? Figure QRTS is bigger than figure Q’R’T’S’. Figure QRTS is congruent to figure Q’R’TS’. The measure of angle R is equal to the measure of angle Q’. The measure of angle S is equal to the measure of angle T’.

Answers

Answer: Figure QRTS is congruent to figure Q'R'T'S'.

Step-by-step explanation:

A reflection is a rigid motion, and rigid motions preserve congruency.

A triangle has two sides of lenghts 8 and 10. what value could the length of the third sird side be?​

Answers

Answer:

Step-by-step explanation:

sum of any two sides > third side

difference of any two sides < third side.

8+10=18

10-8=2

2<third side <18

What does each decreasing portion of the graph represent? bouncing a ball

Answers

Each decreasing portion of the graph indicates the ball has been thrown upward and is traveling toward the ground.  

What is a graph?

A graph can be defined as a type of chart that is used to graphically represent data on both the horizontal and vertical lines of a Cartesian coordinate i.e x-axis and y-axis.

By critically observing the graph attached in the image below, we can infer and logically deduce that each decreasing portion of the graph indicates the ball has been thrown upward and is traveling toward the ground.

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the answer to this question

Answers

From indices : when you have a fraction like 3⁶/5

we can also write it as (5√3)^6

and we were given (c√a )^b

meaning that anywhere the letters are, we put them as the numbers there.

therefore: a = 3 , b = 6 , c = 5

Hope this helps and you understood it.

you're super free to ask any more questions eh.

Good luck ✅.

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