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

there are 15 pieces of fruit in a bowl and 6 of them are oranges.what is the percenage of fruits are in oranges

Answers

Hi there!

We can find the percentage by expressing the amount of oranges to total fruits as a fraction:

[tex]\text{ oranges to total fruit} = \frac{\text{x Oranges}}{\text{ y total pieces of fruit}}[/tex]

Plug in the given values:

[tex]\text{ oranges : total fruit} = \frac{\text{6}}{\text{15}} = 0.4[/tex]

Convert to a percentage by multiplying by 100:

0.4 × 100 = 40%.

[tex]\boxed{\text{40\% of total pieces of fruit are oranges}}[/tex]

1.) The graph of y = -7x - 10 is a ______ that shows the ________ to the equation

2.) find the slope a y-intercept of y=(-7x)-10

Slope = ________
y-intercept = _________

Answers

Answer:

Step-by-step explanation:

1.) The graph of y = -7x - 10 is a ______ that shows the ________ to the equation

I'm not sure what kind of response this question is seeking.  I can only write:

1.) The graph of y = -7x - 10 is a linear equation that shows the  ?  slope and y-intercept to the equation

I don't think these are the answer sought, but it's the best I can think of at the moment.

2.) find the slope a y-intercept of y=(-7x)-10

The slope is -7 and the y-intercept is -10.

find the area of the largest square that can be cut from a circle of radius 18

Answers

Answer:

approx 161.3 square units

Step-by-step explanation:

the circle can contain 4 isosceles triangles with legs equal to 9 and hypotenuse equal to approximately 12.7

these four triangles would produce a square with sides of 12.7 units

so area would be 12.7² or approx 161.3 square units

If you mix 0.02 litres of squash with 100 ml of water to make a drink, what is the total volume of drink that could be made with 1 litre of squash?
Give your answer in litres.

Answers

0.6L of drink can be made with 1 litre of squash

what is the gcf of 56 and 92

Answers

Answer:

im pretty sure its 4!

Step-by-step explanation:

56/4=14

92/4= 23

and i dont think there are any greater numbers that factor into both 56 and 92

hope this helps!

Answer:

4

Step-by-step explanation:

1) Draw factor trees - split numbers into smaller numbers, circle any prime numbers

2) Draw a venn diagram

3) Any circled prime numbers that are the same go in the middle column.

4) Any remaining numbers go in the left or right circle.

5) GCF = multiply everything in middle column.

Hope this made sense! <3

In the given figure ef is a straight line, find the value of x

Answers

The image is not clear.

A triangle has sides with lengths of 16 meters, 7 meters, and 12 meters. Is it a right triangle?

Answers

No because all the sides don’t add up to 90 degrees

Erin buys 2 packs of potatoes costing £2 each, 3 packs of carrots for £3 per pack, and 3 turnips costing 60p each.
If she pays with a £20 note, how much change would she get in pounds, £

Answers

Answer:

  £5.20

Step-by-step explanation:

The change is the difference between the amount tendered and the amount owed. The total amount owed is the sum of the costs for each of the items purchased.

  change = £20 - 2(£2) - 3(£3) -3(£0.60) = £20 -14.80 = £5.20

Erin gets £5.20 in change.

Q1
Put these decimals in order, least to greatest:
?
0.11 0.3 0.12 0.2

Answers

Answer:

0.2,0.3,0.11,0.12

hope that helps

Answer:

0.11, 0.12, 0.2, 0.3

Step-by-step explanation:

Since the numbers are decimals, you can add as many zeros to the end of the numbers to make it easier. In this problem, add a zero to the end of 0.2 and 0.3, making them 0.20 and 0.30. This should make it easier. When you list the decimals from least to greatest, you should get 0.11, 0.12, 0.2, 0.3

I hope this helps!

How would I graph this?: 3x + 9y = −18

Answers

Answer:

take value of x as 0 so

9y=-18 y =-18/9

y=-2

(0,-2)

same take y equal 0

The length of a cell phone is 1.4 inches and the width is 4.6 inches. The company making the cell phone wants to make a new version whose length will be 1.68 inches. Assuming the side lengths in the new phone are proportional to the old phone, what will be the width of the new phone?

Answers

Answer:

5.52

Step-by-step explanation:

1.68/1.4=1.2*4.6=5.52

It costs $12 to enter the fair and $0.50 per ticket for rides. How much total would you spend if you paid admission and bought 70 tickets? plz hurry will mark brainlest

Answers

The initial cost is $12 to enter.

Each ticket is $.50

we want to find out how much it costs for 70 tickets so we multiply the cost by the amount;

70 x .50 = 35

Therefor including the entry fee, it would cost $35 + $12

Which is $47

I hope this helps! :)

A spoonful of ice cream contains 0.006 mg of iron. How much iron
would Mr. Lin consume if he ate 100 spoonfuls?

Answers

0.006 x 100 = 0.6
0.6 mg of iron

i have 7 bags with 2 marbles in each bags. then my friend have 10 bags with 2 marbles in each bag. how many more marbles does my friend have?

Answers

Answer:

your friend has 6 more marbles

Step-by-step explanation:

7×2=14

10×2=20

20-14=6

Answer:

6

Step-by-step explanation:

First you multiply 7 by 2 because there is 2 marbles in each bag and there is 7 bags so that is 14 marbles

Then you multiple 2 by 10 because there is 10 bags with 2 marbles each which is 20.

20-14=6

Can I get brainliest?

help meeeee pleaseeeeeeeeeeeee

Answers

Answer:

a) 92 m

b) 74 cm

Step-by-step explanation:

a)

2(length) + 2(width) = perimeter

2(x) + 2(73) = 330 m

2x + 146 = 330

2x = 184

x = 92 m

b)

length * width = area

85 * x = 6290 cm²

85x = 6290

x = 74 cm

[tex]5(x+3)=6(\frac{12+x}{2} } )\\[/tex]
find x please

Answers

Answer:

x=21/2

Step-by-step explanation:

5(x+3)=6(12+x/2)

Distribute the 5.

5x+15=6(12+x/2)

Reduce the numbers with the greatest common factor 2.

5x+15=3(12+x)

Distribute the 3.

5x+15=36+3x

Move the variable to the left-hand side and change the sign.

5x+15-3x=36

Collect like terms.

2x=36-15

2x=21

Divide 2 on both sides

x=21/2

Hope this helps :)

Answer:

x = 10.5

Step-by-step explanation:

5(x + 3) = 6( [tex]\frac{12+x}{2}[/tex]) ← distribute parenthesis on both sides

5x + 15 = [tex]\frac{72+6x}{2}[/tex] = 36 + 3x ( subtract 3x from both sides )

2x + 15 = 36 ( subtract 15 from both sides )

2x = 21 ( divide both sides by 2 )

x = 10.5

Find the pair of integers that has a product of –12 and a sum of 1.

Answers

Answer:

X = -4, Y = 3

Step-by-step explanation:

x * y = -12

x + y = 1

X = 4, Y = -3

NO TIME TO EXPLAIN

Ashley has 10 skirts in her closet.




2 skirts are blue

3 skirts are red

4 skirts are green

1 skirt is pink



Ashley randomly selects 2 skirts without replacement. The outcome of the second skirt is —

Answers

Answer:

the highest choices are red and green

Use the following function rule to find f(0).

f(x) = 5^x− 4

f(0) =

Answers

Helloo
So you just substitute 0 into the equation
f(0)= 5^0-4
=1-4
=-3

Hope I helped!

Answer:

-3

Step-by-step explanation:

Using the remainder and the factor theorem

5⁰-4

1-4

-3

PLS HELP ASAP PLS I RLLY NEED HELP.

Answers

Answer:

THE ANWSER IS A

Step-by-step explanation:

YOU JUST DEVIDE THE REGULAR FRACTION AND PUT IT IN ORDER FROM THERE

easy one - giving brainly if correct - show work.
teacher said it was wrong, anyone know the right answer? answer both!​

Answers

Answer:

$9.68 per Hour, $11.72 per Hour.

Step-by-step explanation:

What you thought of..

10% of original pay wage = $0.80

Sofia's Pay Wage will be incremented by 10% of $8 every 6 Months.

Function:

Sofia's Pay Wage = e

Original Pay Wage = o

Increment = i

6 Months = t

e = o + ti

1 Year = 12 Months

$8 + ($0.80 x 2) = $9.60

In 1 Year, Sofia's Pay Wage will be $9.60 per Hour

$8 + ($0.80 x 4) = $11.20

In 2 Years, Sofia's Pay Wage will be $11.20 per Hour

What I Thought Of..

Sofia's Pay Wage will be incremented by 10% every 6 Months.

Function:

Sofia's Pay Wage = e

Original Pay Wage = o

Increment = i

6 Months = t

e = o + t(ei)

1 Year = 12 Months

($8 + {10% of Sofia's Pay Wage}) = $8.80

($8.80 + {10% of Sofia's Pay Wage}) = $9.68

In 1 Year, Sofia's Pay Wage will be $9.68 per Hour

($9.68 + {10% of Sofia's Pay Wage}) = $10.65

($10.65 + {10% of Sofia's Pay Wage}) = $11.72

In 2 Years, Sofia's Pay Wage will be $11.72 per Hour

Brainly? (I spent a while on this)

What is the solution?

Answers

Answer:

(4, 4)

Step-by-step explanation:

y = 7/4 x - 3       graph (0, -3) (2, .5), (4, 4) (8, 11).  Draw the line

y = x                        graph (0,0)  (2, 2), (4, 4) , ( -2, -2).  Draw the line

The two lines intersect at point (4, 4)

1) 6 hats cost $67.50
What's the cost per hat?

Answers

Answer:

11.25

Step-by-step explanation:

I divided 67.50 by 6 and it got me the answer 11.25

Kaio bought a meal in a town for $20. Sales tax was 6.5% and he left a 15% tip. What was the amount Kaio paid in sales tax?What was the amount Kaio left as a tip?

What was the total cost of the meal?

A.$4.30

B.$21.30

C.$23.00

D.$24.30

Answers

Answer: D. $24.30

Explanation:

$20 • 6.5% = $1.30

$20 • 15% = $3.00

$20 + $3 + $1.30 = $24.30

What is the answer to this question?

Answers

Answer:

x = 1/5

Step-by-step explanation:

yeah-ya........ right?

One hundred 50 cents coins have a mass of 690 g what is the mass of one 50 cents coin

Answers

Answer:

25

Step-by-step explanation:

Rotate the point (-3,-4) around the origin 180 degrees clockwise. State the image of the
point.

Answers

Answer:

(3,4)

Step-by-step explanation:

There are rules for rotations that make it really easy to find the images of any given point for any given rotation. In this case, we have an 180° clockwise rotation, and to find the image of any point rotated this way, we just have to make the x-values and y-values negative.

In this case, we have (-3,-4). Let's make each value negative: (-(-3), -(-4)). Our negative signs cancel out and we get (3,4). And that's the image of the point (-3,-4) at a 180° clockwise rotation about the origin.

Hopefully that's helpful! :)

The! width! of! a! rectangular! box! is!2cm!less! than! its! length.! The! height! of! the! box!is!8cm.!Which

Answers

Answer:

Step-by-step explanation:

easy one for you folks.​

Answers

Answer:

2/5

Step-by-step explanation:

Six out of 15 are full.

[tex]\dfrac{6}{15}=\dfrac{2*3}{5*3}=\dfrac{2}{5}[/tex]

Which expressions simplify to 0? Check all that apply.
8g – 8g
(–2g) – 2g
5g + (–5g)
One-half g + one-half g
Negative two-thirds g + two-thirds g

Answers

The expressions that simplify to zero are:

8g – 8g

5g + (–5g)

Negative two-thirds g + two-thirds g

Let us consider each of the expressions to determine the ones that simplify to zero (0)

For 8g - 8g

This is a direct subtraction of terms of the same value. Therefore, 8g - 8g = 0

For (–2g) – 2g

This can be further simplified as -2g - 2g = -4g

Therefore, (–2g) – 2g does not simplify to zero

For One-half g + one-half g

This can be written mathematically as:

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

Therefore, One-half g + one-half g does not simplify to zero

Negative two-thirds g + two-thirds g

[tex]-\frac{2}{3}g+ \frac{2}{3}g = 0[/tex]

Therefore, Negative two-thirds g + two-thirds g simplifies to zero

Learn more here: https://brainly.com/question/25702685

Answer:

A , C , E :)

Step-by-step explanation:

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