A RECTANGLE HAS SIDES OF "20 - x" AND "x - 5", IF THE RECTANGLES AREA IS 36 SQ. INCHES. FIND THE LARGEST SIDE.

Answers

Answer 1

Answer:

12 in.

Step-by-step explanation:

1. area can be calculated as A=s1*s2, where s1 and s2 are the largest and shortest sides.

2. according to the formula before A=(20-x)(x-5). But according to the condition A=36, then (20-x)(x-5)=36;

3. if to solve this quadratic equation, then

-x²+25x-136=0;

[tex]\left[\begin{array}{ccc}x=17\\x=8\end{array}[/tex]

4. if x=3;12, then the sides are 12 and 3 and

5. finally, the largest side s1=12 inches.


Related Questions

The bakery decides to
make only 100 corn muffins on Tuesday. How many
kilograms of sugar will be needed?

Answers

Answer:

we need to know how many kilograms are in each corn muffin to answer that queastion

Step-by-step explanation:

we need to know how many kilograms are in each corn muffin to answer that queastion

We need to know the kilograms of the first muffin to get the idea of the final amount.

Write an equation for the line in the given form.

Contains the points (5, 2) and (8, 11); slope-intercept form

Answers

Answer:

y = 3x-13

Step-by-step explanation:

First find the slope

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

   = ( 11-2)/(8-5)

    = 9/3

    =3

Then using slope intercept form

y= mx+b

Using one of the points and the slope

2 = 3(5) +b

2 = 15 +b

2-15 = b

-13 =b

y = 3x-13

Choc-Arcade has Miguel's two favorite things: a chocolate shop and an arcade! Not only that, but Choc-Arcade's loyalty program rewards Miguel with free game tokens every time he buys chocolates. He gets 4 free game tokens for each chocolate he buys. There is a proportional relationship between the number of chocolates Miguel buys, x, and the number of free game tokens he gets, y.

Answers

Answer:

x : 4y

Step-by-step explanation:

For every one chocolate he buys, he gains 4 free game tokens

What is 968.1 as a fraction

Answers

I believe it is 9681/10.

Answer:

the answer is 9681/10

Step-by-step explanation:

9681/10

Determine the measure of angle ∠ABD.

a) 48
b) 12
c) 90
d) 24

Answers

Answer:

24 or 12

Step-by-step explanation:

what´s the answer to this?

Answers

Step-by-step explanation:

it is a linear function, if the increases in y are constant from point (ordered pair of x and y) to point reissue to the increase in x.

the first table (top left) increases x constantly by 1.

but y increases first by 2 and then by 3 and then again by 3.

this is not constant, so it does not follow the pattern of x.

in technical terms : the slope of the function is not the same for every point of the function.

in other words : it is not a straight line all the way.

so, it is not a linear function.

the second table (top right) increases x constantly by 2.

and y increases constantly by 2.

this is constant also in relation to x.

in technical terms : the slope of the function is the same for every point of the function.

in other words : it is a straight line all the way.

so, it is a linear function.

the third table (bottom left) increases x constantly by 1.

but y increases first by 4 and then by 1 and then again by 1.

this is not constant, so it does not follow the pattern of x.

in technical terms : the slope of the function is not the same for every point of the function.

in other words : it is not a straight line all the way.

so, it is not a linear function.

the fourth table (bottom right) increases x constantly by 2.

but y increases first by 2 and then by 3 and then again by 3.

this is not constant, so it does not follow the pattern of x.

in technical terms : the slope of the function is not the same for every point of the function.

in other words : it is not a straight line all the way.

so, it is not a linear function.

which of the following is an example of a polynomial equation?​

Answers

Hi, can you please put options?

someone plz help me!!!!!!!!!!!!!!

Answers

Step-by-step explanation:

In the given set of questions regarding the concept of division, it is important to understand the parts of a division problem.

Definitions:

In a division problem such as 15 ÷ 3 = 5:

15 represents the dividend, which is the number being divided into groups. 3 represents the divisor, which is the number of groups that divides the dividend.  5 represents the quotient, which is the result of dividing the dividend and the divisor. Solution:

Now that we have defined the parts of a division problem, we can proceed to matching the division problems to its corresponding representation of equal groups.

1.) 15 ÷ 3 = 5 "There are 5 equal groups of 3."  

If you multiply the quotient, 5, by the divisor, 3, it results in the dividend: 5 × 3 = 15. This occurs because multiplication is the opposite mathematical operation of division.  

2.) 45 ÷ 5 = 9 "There are 9 equal groups of 5."  

      9 equal groups of 5 = 9 × 5 = 45.

3.)   8 ÷ 4 = 2 "There are 4 equal groups of 2."  

      4 equal groups of 2 = 4 × 2 = 8.

4.) 18 ÷ 6 = 3 "There are 3 equal groups of 6."  

      3 equal groups of 6 = 3 × 6 = 18.

5 4/6-4 2/3 ÷ 3 2/3?​

Answers

Answer:

145/33

Step-by-step explanation:

Assuming what you wrote was mixed fractions, this is how to do the question.

Do the division first and then subtract that from 5 4/6/

Write an equation of the line in slope-intercept form.

Answers

Answer:

Step-by-step explanation:

Y=1/2x+3

Solve by substitution. x=y-9,5x+2y=11

Answers

We have two equations :

x=y-9

5x+2y = 11

We just have to plug the value of x in the second equation to find y :

5(y-9) + 2y = 11

5y - 45 + 2y = 11

7y - 45 = 11

7y = 11 + 45

7y = 56

y = 56/7 = 8

Finally, since x = y -9

x = 8-9 = -1

Good Luck

Answer:

X = -1 Y = 8

try downloading mathaway it might help with these problem types

find the slope of the line, given the points (0,2) and (3.6,2) show all your work​

Answers

Answer:

There is no slope because the slope is zero. The line has no slope because it's a vertical line.

Step-by-step explanation:

Slope = [tex]\frac{2-2}{3.6-0} = \frac{0}{3.6} =0[/tex]

Slope =  0

The line has no slope.

Hey, do y2-y1/x2-x1
I believe you should get 0 as your slope.

Can someone help me. All i need o know is what is the value after 10 years i done the equation part by myself
NO BOTS OR ILL REPORT YOU!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!1
ILL GIVE BRAINLY TO CORRECT ANSWER
100 points

Answers

Answer:

$4811

Step-by-step explanation:

Initial price = 35,000

18% decrease anually = 18/100 = -0.18

after 10 years

substitute these values in the formula shown in below figure

A = 35000 * ( 1 + -0.18/1  ) ^10

= 35000 * 0.82^10

= 4,810.681

= $4811

Mary spent a total of $354.30 for a party. She spent $200.90 on food, plus an additional $30.68 for each hour of the party. How long was the party?

Answers

Answer:

About 5 hours

Step-by-step explanation:

Hope it helps

!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!7

Answers

Answer:

The answer is B final answer becuase its all positive.

Help me on this pls and thank you

Answers

Answer:

5x - 15 + 2x + 90 = 180

180 since it's a flat line, and all the angles should add up to 180 which is angle AOB, 90 degrees is already given in the middle.

Simplify all the terms (The algebra portion)

7x - 15 + 90 = 180

7x + 90 = 195

7x = 105

x = 105/7

x = 15

now substitute in x for all these angles

2(15) = 30 degrees is the angle GOB

5(15) - 15 = 60 degrees is the angle AOF

60 + 90 + 30 = 180 degrees.

and x = 15

Which proportion is not true?
A) BC/CD=FG/GH
B) AC/CD=EG/GH
C) BD/FH =AD/EH
D) AB/AE=EF/BF

Answers

Answer:

c I think that is the answer

Help Please. It's 10:11 AM right now. This due by 12 PM or in 2 more hours. I don't know this.

Answers

Answer:

B) 2,000.

Step-by-step explanation:

As the mean is 6000 the total number of students = 5*6000

= 30,000.

If graduates are excluded we have 4*7000 = 28,000 students.

So the number at graduate level

=  30,000 - 28,000

= 2,000.

A scale drawing of an elephant shows the animal as 6 inches high and

10.8 inches long. The scale used for the drawing was 3 in..5 ft.

What are the height and length of the actual elephant?

Height:

feet

Length:

feet

Answers

Step-by-step explanation:

3 in to 5 ft

so, one basic unit in the drawing is in fact 3 inches.

how many base units fit into the numbers ? these factors need then to be multiplied with the base units of 5 ft for reality.

6 inches high

6 / 3 = 2

so, the elephant is 2 units high, which means in reality 2×5 = 10 ft high.

10.8 inches long

10.8 / 3 = 3.6

so, the elephant is 3.6 units long, which means in reality 3.6×5 = 18 ft long.

what is the value of x + y?​

Answers

Answer:

55°

Step-by-step explanation:

180°-70°=110° (sum of angles on a straight line gives 180°

The size of each of the four remaining angles=110°/4 = 27.5°

<X + <Y = 27.5° + 27.5°=55°

T
Зл
Solve for the interval <<
2
2
3. 2 cos? 0-5 cos e = 3
(it put it in wrong so i put a picture of the question)

Answers

Answer:

540 g m/s.

Step-by-step explanation:

Can some one help me solve this

Answers

Hello mashiamcphee141!

Let's solve for x in the given question.

[tex]\sf\:\frac { x + 3 } { 2 } + \frac { 2 x } { 7 } = 7\\\sf\:7\left(x+3\right)+2\times 2x=98 \\\sf\:7x+21+2\times 2x=98 \\\sf\:11x+21=98 \\\sf\:11x=98-21 \\\sf\:11x=77 \\\sf\:x=\frac{77}{11} \\\boxed{\sf\:x=7 }[/tex]

Steps :-

At first, multiply both sides of the equation by the LCM = 14.Now, simplify the equation using distributive property & other operations. We'll get the value of 'x' as 7.

See the attachment if the working is not clear.

____________

[tex]\mathfrak{Lucazz}[/tex]

Given that:

[{(x+3)/2} + (2x/7)] = 7

Take the LCM of 2 and 7 is 14.

⇛[{7(x+3)+2(2x)}/14] = 7

⇛[{7x+21 + 4x}/14] = 7

⇛[{11x+21}/14] = 7/1

Now,

By using cross multiplication method,we get

⇛1(11x+21) = 7(14)

⇛11x + 21 = 58

⇛11x = 58-21

⇛11x = 37

∴ x = 37/11

Hence, the value of x will be 37/11 respectively.

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Solve the equation- [tex] \frac{5}{x - 3} - \frac{4}{x + 4} = \frac{1}{x} [/tex] He…

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ahh i need help with these 2 questions ill mark u as brainliest ​

Answers

Answer:

3. x = 96

4. x = 6

Step-by-step explanation:

Find zeroes of quadratic polynomial p(x) = x2 -3x - 4.​

Answers

Here is ur answer

- BRAINLIEST answerer

100 POINTS!! WILL MARK BRAINLIEST
NEED RESPONSE ASAP PLEASE AND THANK YOU!!

A feasible region is bounded by the constraints:
y ≤ 20-x
{ y ≥ 20-4x
y ≥ 5-0.25x

The objective function is P = 3x + 5y.

(a) Graph the feasible region.
(b) Find the value of the objective function at each vertex of the feasible region.
(c) What is the minimum value of the objective function, P?
(d) At which vertex point does the minimum value occur?
Show all work.

Answers

Answer:

1) b. at vertex ( 0,20) P = 5(20) = 100 at vertex ( 4,4) P = 3(4) + 5(4) = 32 at vertex (20,0) P = 3(20) = 60 c. x = 4 , y = 4 2) x-intercepts x 1 = 1.66667, ...

Step-by-step explanation:

The length of the base of an isosceles triangle is x. The length of a leg is 2x-5 . The perimeter of the triangle is 25. Find x.

Answers

Answer:

=x+2x-5=25

=3x-5=25

=3x=30

=x=10cm

Step-by-step explanation:

mark as brainliast

Answer:

10 cm

Step-by-step explanation:

what is the answer to this question it is called (Solve Linear System Graphically (Lev. 1)

Answers

x≥ 0 , everthing to the right of the y-axis

y≥ 0 , everthing above the x-axis

So far you are in quadrant I of the x-y plane

y ≤ 3 , everthing from the above, but also below the horizontal line y = 3

lastly y ≤ -x + 5

sketch a line leaning 45° to the left with a y-intercept of 5, shade in everthing below that line

My diagram has a simple trapezoid consisting of a

rectangle with a right-angled triangle attached

now our Objective Function is

C = -5x + 3y , which is a line with slope 5/3

letting that line go through the origin, let it slide parallel to itself over the shaded region until you reach the farthest point from the origin.

On my diagram that looks like (5,0)

Which of the following statements are true regarding functions?
(Check all that apply)

A) The vertical line test may be used to determine whether a function is one-to-one
B) A function is a relation in which each value of the input variable is paired with exactly one value of the output variable
C) A sequence is a function whose domain is the set of real numbers
D) The horizontal line test may be used to determine whether a function is one-to-one

Answers

Answer:

d

Step-by-step explanation:

po ang tamang sagon po

Step-by-step explanation:

A, B are right.

when checking that each x value has exactly one y value (B - that is the definition of a function), we need vertical lines to see that every vertical line has only one crossing point. A.

it is not C, because per definition a sequence is a function with the domain of natural numbers (or whole numbers incl. 0), and the range is the real numbers.

in other words, it is a numbered list of real numbers.

and it is definitely NOT D !

see A and B.

Help !! I don’t understand

Answers

Answer: .8, -.9, -.5, .9 (estimates)

Step-by-step explanation: correlation coefficients are between -1.0 and 1.0.

    -1.0 means a perfectly negative correlation, which will be a straight line going down from left to right

    0 means no correlation, it's just random points on the graph with no sense of direction or relationship

   1.0 means a perfectly positive correlation, which will be a straight line going up from left to right

the more line-like the shape the data points make are, the further away the correlation coefficient is from 0. you can tell if it's negaitive or positive from the direction of the line.

Please help me with this MATH question.

Answers

Answer:

y=4

Step-by-step explanation:

84=30y-9y, first you collect like terms.

84=21y, swap the sides

21y=84, devide both sides and you get y =4

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