Mathematics High School

Jake is building a fence around his property. He wants the perimeter to be no more than 100 feet. He also wants the length to be at
least 10 feet longer than the width. If he builds his fence according to these limits, which would be the maximum possible width of
the fence?

Jake Is Building A Fence Around His Property. He Wants The Perimeter To Be No More Than 100 Feet. He

Answers

Answer 1

Answer:

C

Step-by-step explanation:

Let the length be l and width be w.

The perimeter will be 2 lengths + 2 widths = 2l+2w

2l+2w cannot be more than 100ft

[tex]21+2w \leq 100[/tex]

Also, the length has to be at least 10ft longer than the width.

[tex]l\geq w+10[/tex]

If we substitute w=20, l=30. 2l+2w can be equal to 100 but not over it.

If w=20 and l=30, 2w+2l = 40+60 = 100.

Hence the maximum length of the width of the fence is 20 ft. C

Related Questions

When you divide both sides of an inequality by a negative number, you need to _____ the inequality symbol.

A. flip
B. eliminate
C. raise
D. multiply

Answers

Answer:

The correct option is option;

A. Flip

Step-by-step explanation:

When both sides of an inequality is divided by a negative number, it changes the sign of both numbers while their magnitude remain the same;

Therefore, if the right hand side of the inequality is lesser than the left hand side, when the signs of the left and right hand sides of the inequality changes after a division , by a negative number, we have;

The smaller right hand side of the inequality will then have a lesser negative magnitude than the left hand side of the inequality with a higher negative value and the left hand side (with the higher negative value) becomes lesser than the right and therefore, the symbol (sign) of the inequality is flipped

Therefore, when you divide both sides of an inequality by a negative number, you need to flip the inequality symbol.

1. Since 1963, the State of California has used the following rules for standard
car license plates
• Every license plate has the format ###AAA#, where # represents a numeral
0-9 and A represents a letter A-Z.
• The first and third letter positions cannot be I, O, or Q (to avoid
confusion with mumbers 1, 0).
How many license plates can the State of California issue that follow
these rules?

Answers

Answer:

137,540,000

Step-by-step explanation:

###AAA#

There are 10 digits from 0 to 9.

There are 26 letters from A to Z.

We apply the counting principle. We see the number of possible digits or letters than can be placed in each position, and then we multiply them together.

There are 10 digits for the first position.

###AAA#

10

There are 10 digits for the second position.

###AAA#

10 * 10

There are 10 digits for the third position.

###AAA#

10 * 10 * 10

There are 23 letters for the fourth position.

###AAA#

10 * 10 * 10 * 23

There are 26 letters for the fifth position.

###AAA#

10 * 10 * 10 * 23 * 26

There are 23 letters for the sixth position.

###AAA#

10 * 10 * 10 * 23 * 26 * 23

There are 10 digits for the seventh position.

###AAA#

10 * 10 * 10 * 23 * 26 * 23 * 10

Now we multiply all the numbers together.

10 * 10 * 10 * 23 * 26 * 23 * 10 = 137,540,000

how many hours do they drive

Answers

Answer:

3 good luck with the answer

Answer\

12,878,452,949,953 hours

plz leave a heart and 5 stars :-)

what is a cash book
​

Answers

Answer:

Step-by-step explanation:

A cash book is where you keep all of receipts and disbursements and also the bank deposits and withdrawals. when that's done, entries inside of the cashbook are added to the general ledge.

Keeps all receipts and disbursements

Am I right?

If you don't know, it's okay, but don't answer. I need someone that could help.

Answers

yes you are right




the angle next to the 99° angle is makes a supplementary angle. 180-90=81

Hope it helps you!.........

how do you find the value of x

Answers

Answer:

To find the value of x, bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to find the result.

Step-by-step explanation:

isnt the x a 90 degree angle?

45+45+x =180
(Because all triangles have a sum of 180)
90+x=180
Subtract 90 from both sides
X=90

CHECK
45+45+90= 180

There are expected to be 7 adults for every 3 children at the opening of a new museum. Find how many children are expected if there are 21​ adults, 35​ adults, and 56 adults.

Answers

Answer:

21 Adults= 7 Children , 35 Adults= 15 children and 56 Adults = 24 Children

Step-by-step explanation:

In other words, every 7 Adults creates a set of 3 Children

In the case of the 21 Adults, 21 /7 = 3sets of Children. Therefore 3x3 =9 Children.

For 35 adults, 35/7 gives us 5 sets

Therefore 5x3= 15 Children

Finally, 56 adults. 56/7= 8 sets

Therefore 8x3= 24 Children

Hope this helps and goodluck. Feel free to post more questions.

Five quarts of a latex enamel paint will cover about 200 square feet of wall surface. How many quarts are needed to cover 215 square feet of kitchen wall and 65 square feet of bathroom wall?

Answers

Answer:

5.375 quarts

1.625

Step-by-step explanation:

determine amount of quarts of latex per square feet = 5/200 = 0.025

quart for 215 = 0.025 x 215 = 5.375 quarts

quart for 65 = 65 x 0.025= 1.625

1. The sum of the angles of a triangle are equal to 180 degrees. One angle measure is 18 degrees, the second angle measure is 62 degrees, and the third angle measure is x.

Write the equation that can be used to solve for x.​

Answers

x + 80 = 180
this is bc 62+18=80
how to solve
1. subtract 80 from both sides
you should be left with
x=100

A glass prism on a chandelier is 57 millimeters long. A base of the prism is an
equilateral triangle with side lengths of 8 millimeters and a height of about 5.2
millimeters. What is the approximate surface area of the prism?
Pleasee help!!

Answers

Answer:

1410 mm²

Step-by-step explanation:

Given triangle prism with:

a = 8mm,  h = 5.2 mm, l = 57 mm

Total surface area:

S = Pl + ah = 3al + ah = a(3l + h)S = 8(3*57 + 5.2) = 1409.6 mm² ≈ 1410 mm²

What is the lateral area of the can below that has a diameter of 8 and a height that is three times the radius? Round to the nearest tenth. [Hint: Find the radius first]

Answers

Answer:

402.1

hope it helps

please mark Brainliest

PLS HELP!!!!

Select the correct comparison.
Set A
Set B
.
. . .
278 10
0268
A. The typical value is greater in set A. The spread is greater in set B.
B. The typical value and the spread are both greater in set A.
C. The typical value and the spread are both greater in set B.
D. The typical value is greater in set B. The spread is greater in set A.

Answers

The answer is c I think

Which algebraic representation
should be used to find the
coordinates for Figure JKLM, the
reflection of Figure JKLM over
the y-axis?
A (x, y) = (x, y)
B (x, y) = (x,-)
C (x, y) (-, -y)
D (x, y) (-, y + 1)

Answers

The answer I think is D

Please let me know the answer to this

Answers

I think it’s number 2 sorry if it’s wrong!!

What percent of 50 is 9?
O
A. 4.5%
O B. 5.6%
OC. 9%
O D. 18%
O E. 45%

Answers

the answer is 18 because it just is trust me

Answer:

A. 4.5

Step-by-step explanation:

9/.5= 4.5

what does y=x match?

Answers

Answer:

m = 1

Step-by-step explanation:

slope intercept form --> y=mx+b

y=1x+0

therefore the slope is

m = 1

Answer this question to get marked as barinliest!!!!

Answers

Answer:

60 cubic inches

Step-by-step explanation:

first find the area of the right triangle then multiply by 10 in.

=> (3 × 4 ÷ 2) × 10

=> 60 in.³

It would be 60 inches

Alice has 15 times as many crayons as Bryan. Write an equation to find the total number of crayons that Alice has.

Answers

Answer:

a = 15b

Step-by-step explanation:

It's given in the question that Alice has 15 times as many crayons as Bryan.

Let the number of crayons with Bryan = b

And the number of crayons with Alice = a

Therefore, equation representing the number of crayons with Alice will be,

a = 15b

PLEASE HELP WITH SACLE FACTOR!!!! 100 POINTS!!!

Answers

Answer:

b would be 16:36, c would be 64:216, d would be 2:7, and f would be 4:49

Step-by-step explanation:

Answer:

b=16:36, c=64:216, d=2:7, f=4:49

| Una empresa monopoliza un mercado cuya demanda es Qd = 25-0,25P. Las condiciones de costo de esta empresa son: CVMe = Q y CF = 100. 1) Determinar: a) ¿Cuántas unidades producirá y a qué precio? b) ¿Cuál es el beneficio empresario? c) ¿Cuál es la elasticidad precio de la demanda en el punto de equilibrio?

Answers

Answer:

   

Step-by-step explanation:

An angle measures 36.6° less than the measure of its complementary angle. What is themeasure of each angle?

Answers

Answer:

53.4° and 36.6°

Step-by-step explanation:

90.0 - 36.6 = 53.4

(9&10: find the value of x & each arc measure) will mark brainliest thanks

Answers

Answer:

11:...31.84 ft.

12....19.02 m.

13....68.90 in.

14....37.33 cm

Step-by-step explanation:

The value of x for 9 will be 36.75° and for 10 will be 9°

Circle

The total sum of all the angle of circle will be 360°.

How to find the value of x?

The sum of the all angles is 360°.

Solution 9

360- 61-34 +29 = 8x

x=36.15°

Solution 10

360 - 90 +9 = 31x

x = 9°

Learn more about the angle here https://brainly.com/question/25716982

#SPJ2

Which of these contexts describes a situation that is unlikely?
O Rolling a 1 on a standard six-sided die, numbered from 1 to 6.

O Spinning a spinner divided into four equal-sized sections colored red/green/yellow/blue and landing on red or yellow or green or blue.

O Winning a raffle that sold a total of 100 tickets if you bought 9o tickets.

OReaching into a bag full of 10 strawberry chews and 10 cherry chews without looking and pulling out a strawberry or a cherry chew.​

Answers

Answer:

The first one

Step-by-step explanation:

This is because all the other ones there is a likely chance that you will get them. While the first one it is less of a chance that you will role a die and land on a one. It is a 1 out of 6 chance

The situation which is unlikely is rolling a 1 on a standard six-sided die, numbered from 1 to 6

What is Probability?

The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible

Probability = number of desirable outcomes / total number of possible outcomes

The value of probability lies between 0 and 1

Given data ,

a)

Rolling a 1 on a standard six-sided die, numbered from 1 to 6

Probability P ( A ) = 1/6

P ( A ) = 0.1667

b)

Spinning a spinner divided into four equal-sized sections colored red/green/yellow/blue and landing on red or yellow or green or blue

Probability P ( A ) = 1

P ( A ) = 1

c)

Winning a raffle that sold a total of 100 tickets if you bought 90 tickets.

Probability P ( A ) = 90/100

P ( A ) = 0.9

d)

Reaching into a bag full of 10 strawberry chews and 10 cherry chews without looking and pulling out a strawberry or a cherry chew.

Probability P ( A ) = 10/20

P ( A ) = 0.5

Hence , the unlikely event is Rolling a 1 on a standard six-sided die, numbered from 1 to 6

To learn more about probability click :

https://brainly.com/question/17089724

#SPJ2

hhheeelllpppp pplllssss

Answers

Answer:

i think its a

Step-by-step explanation:

Answer:

B 7.2

Step-by-step explanation:

the coordinate of C: (1, 3)

the coordinate of E: (5, -3)

the distance formula: [tex]\sqrt{(x2 - x1)^{2} + (y2 - y1)^{2} }[/tex]

= [tex]\sqrt{(5-1)^{2} + (-3-3)^{2}}[/tex]

= [tex]\sqrt{16+36}[/tex]

= [tex]\sqrt{52}[/tex]

≈ 7.2

please help, does anyone know the answer to this?

Answers

Answer:

500

Step-by-step explanation:

question is in the picture

Answers

Answer:

algebra?x9b4

Step-by-step explanation:


[tex]{7}^{2x} = 117649[/tex]
what value of x makes the equation true​

Answers

Answer:

you would have to do 1,472

Step-by-step explanation:

this is correct because if you take the problem and solve it then that should be the answer :D

Find the value of z and z + 45

z = ?

z + 45 = ?


Answers

Answer:

ligma

Step-by-step explanation:

3x + 12 = -3 What is the value of X

Answers

Answer:

x = -5

Step-by-step explanation:

i took algebra a couple years ago :)

Answer:

x=-5

Step-by-step explanation:

3x+12= -3

   -12    -12

(subtract 12 from both sides because you want the variable by itself)

3x= -15

(divide by 3 so you can get x completely by itself)

x= -5 (final answer)

The farmer is not correct. She sold _% of the onions and _ % of the turnips by noon on Saturday. If she had sold 4 more pounds of onions she will have sold _% of the onions. This percentage of onions sold ___ equal to the percentage of turnips sold. *: 20 25 :: 28 :: 32 :: 35 .: 40 :: 50 :: 56 :: 80 :: is .! is not​

Answers

Answer:

28 32 35 50

Step-by-step explanation:

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