In kickboxing, it is found that the force, f, needed to break a board, varies inversely with the length, l, of the board. If it takes 15 pounds of pressure to break a board that is 7 feet long, how many pounds of pressure will it take to break a board that is 5 feet long?

Answers

Answer 1

Answer:

21 pounds

Step-by-step explanation:

Given that f varies inversely with l then the equation relating them is

f = [tex]\frac{k}{l}[/tex] ← k is the constant of variation

To find k use the condition f = 15 when l = 7, then

15 = [tex]\frac{k}{7}[/tex] ( multiply both sides by 7 )

105 = k

f = [tex]\frac{105}{l}[/tex] ← equation of variation

When l = 5 , then

f = [tex]\frac{105}{5}[/tex] = 21 pounds

Answer 2
21 pounds is this answer for the problems

Related Questions

14+ 19= -9c - 2с
Solve for c.

Answers

Answer:

i think its 22c

Step-by-step explanation:

Answer:

c = -3

Step-by-step explanation:

[tex]14 + 19 = - 9c - 2c[/tex]

Simplify

[tex]33 = - 11c[/tex]

Divide both sides by -11

[tex] \frac{33}{ - 11} = \frac{ - 11c}{ - 11} [/tex]

Simplify

[tex] - 3 = c[/tex]

c = -3

1.Samantha sells ostrich eggs for $2 each and goose eggs for 0.50. For every dollar she earns, she spends $0.10 on feed. If she sells 5 ostrich eggs and 20 goose eggs, how much money does she have left after buying feeds

Answers

Answer:

$18

Step-by-step explanation:

Sales price of each ostrich egg = $2

Sales price of each goose egg = $0.50

Amount spent after every dollar earned = $0.10

Number of ostrich eggs sold = 5

Number of goose eggs sold = 20

To find:

Total money left after the feeds are bought?

Solution:

First of all, let us find the total money earned by Samantha.

Money earned by selling ostrich eggs = [tex]2\times 5[/tex] = $10

Money earned by selling goose eggs = [tex]20\times 0.50[/tex] = $10

Total money earned by selling both the eggs = 10+10 = $20

Money spent on feeding on every $1 = $0.10

Money spent on feeding on every $20 = 0.10 [tex]\times[/tex] 20 = $2

Total money left after buying feeds = $20 - $2 = $18

write a linear function with f with f (5) = -1 and f (0) = -5

Answers

Answer:

5y = 4x-25

Step-by-step explanation:

Let f(x) be regarded as y

So we have two points

(5,-1) and (0,-5)

We start by finding the slope of the line connecting the two points

m = y2-y1/x2-x1

m = -5+1/0-5 = -4/-5 = 4/5

The general equation of a straight line is;

y = mx + b

where m

is slope and b is the y-intercept

we already have the slope as 4/5

So;

y = 4x/5 + b

To get b, substitute one of the points

Let us use (0,-5)

-5 = 4(0)/5 + b

so b = -5

The equation is;

y = 4x/5 - 5

Multiply through by 5

5y = 4x - 25

Jenna bought books for $3 each and a game for $5. She spent a total of $26. How many books did she buy?

Answers

Answer:

7

Step-by-step explanation:

She bought 7 books and by then would have just enough for her video game. (This answer might differ based on if tax was involved)

Answer:

7 books

Step-by-step explanation:

3 times 3 = 9

9 + 5= 14

14+6=20

20+6=26

7 3's = 7 books

plezz give brainiest

5. In a single season, the Houston Astros sell an average of 36,796 tickets for each of their 81 home games.
About how many tickets do they sell for an entire season of home games?
= 4,000,000

Answers

The total number of tickets sold by the Houston Astros for an entire season of home games is 2,980,476.

The number of home games in a single season is 81.The average number of tickets sold by the Houston Astros for each home game is 36,796.The total number of tickets sold by the Houston Astros for an entire season of home games is the product of the number of home games and the average number of tickets sold for each of the games.The total number of tickets sold by the Houston Astros for an entire season of home games is 81*36,796.The total number of tickets sold by the Houston Astros for an entire season of home games is 2,980,476.

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Use words to write this expression
d/10

Answers

Answer:

d divided by 10

Step-by-step explanation:

PLEASE HELP!!!
What is the value of x that satisfies the equation? Must show all proper work/steps!
273x = 81x + 10

Answers

Answer:

X = 3.25

Step-by-step explanation:

273 - 10 = 263

263 divided by 81 = 3.25

Answer Check: 3.25 times 81 + 10 = 273

Hope this helps :)

When 4(0.5x + 2.5y - 0.7x -1.3y + 4) is simplified, what is the resulting expression?
A: -0.8x + 4.8y + 16
B: 0.8x - 4.8y + 16
C: -0.8x - 4.8y + 4
D: 0.8x + 4.8y + 4

Answers

The answer would be B. Combine like terms then distribute

Answer:

its not B im on the quiz rn

Step-by-step explanation:

Which of the following expresses "18 minus 7, the difference of which is multiplied by 3"?

Answers

Answer:

33

Step-by-step explanation:

18-7=11

11*3=33

Answer:

33

Step-by-step explanation:

18-7=11

11*3=33

Can someone help me with this?!?

Answers

21 (Writing just for characters)

anyone wanna help :D

Answers

Answer:

Srry I.D.K but if u need anything else let me know

Step-by-step explanation:

Answer:

A. 158

Step-by-step explanation:

i hope it helped!

simplify m²n+3xy-nm²-yx​

Answers

Answer:
2xy

Explanation:
m^2n+3xy-nm^2-yx
Rewrite nm^2 as m^2n
=m^2n+3xy-m^2n-yx
Rewrite yx as xy
=m^2n+3xy-m^2n-xy
=3xy-xy
=2xy

I hope this helps!

Please help and explain
A man is walking 3 miles per hour toward point B

from point A. At the same time, a woman is

running 6 miles per hour toward point A from

point B. If point A and point B are 15 miles apart,

how far from point B will they meet?

E. 5 miles

F. 6 miles

G. 9 miles

H. 10 miles
PLEASE PLEASE HELP I NEED THIS ANSWER

Answers

Answer:

6 miles

Step-by-step explanation:

because the common denominator is 12 so the man will walk 12 miles in 4 hours and the woman will walk 12 miles in 2 hours so they will meet in the middle

If point A and point B are 15 miles apart, they will meet H) 10 miles from point B.

The answer to the question is H: 10 miles.

To solve this problem, we can use the concept of relative velocity. Relative velocity is the velocity of one object as seen by another object. In this case, the man and the woman are moving towards each other, so their relative velocity is the sum of their individual velocities.

The man's velocity is 3 miles per hour and the woman's velocity is 6 miles per hour, so their relative velocity is 3 + 6 = 9 miles per hour.

We know that point A and point B are 15 miles apart, so they will meet when the distance between them is 0. The time it takes them to meet is 15 / 9 = 5/3 hours.

In 5/3 hours, the man will travel 3 * 5/3 = 5 miles and the woman will travel 6 * 5/3 = 10 miles. Therefore, they will meet 10 miles from point B.

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Diana worked on her science project for 513 hours. Gabe worked on his science project 114 times as long as Diana. Paula worked on her science project 34 as long as Diana. How long did Gabe and Paula work on their projects?

Answers

Answer:

Gabe worked for 6 2/3 hours and Paula worked for 4 hours.

Step-by-step explanation:

It is given that,

Diana worked on her science project for 5 1/3 hours.

Gabe worked on his science project 1 1/4 times as long as Diana.

Paula worked on her science project 3/4 as long as Diana.

Solution,

ATQ,

Gabe worked for :

[tex]5\dfrac{1}{3}\times 1\dfrac{1}{4}\\\\=\dfrac{16}{3}\times \dfrac{5}{4}\\\\=\dfrac{20}{3}\ h\\\\=6\dfrac{2}{3}\ h[/tex]

Pauls worked for :

[tex]\dfrac{3}{4}\times 5\dfrac{1}{3}\\\\=\dfrac{3}{4}\times \dfrac{16}{3}\\\\=4\ h[/tex]

Hence, Gabe worked for 6 2/3 hours and Paula worked for 4 hours.

PLEASE HELP ASAP
the cost of peanut butter varies based off is the weight. an 8 oz jar of peanut butter costs $1.84.
use the unit rate to determine how much a 26 oz jar of peanut butter costs.

Answers

Answer:

$4.84

Step-by-step explanation:

Tom finished 6/7 of his math homework on the school bus. What percent did he finish on the bus?(If needed round to the nearest hundredth)

Answers

Answer:

85.71

Step-by-step explanation:

precentage of 6÷7 ×100

Answer:

86%

Step-by-step explanation:

[tex]\frac{6}{7}[/tex] ≈ 0.86 = 86%

Triangle MRN is created when an equilateral triangle is folded in half.

Triangle N R M is shown. Angle N R M is a right angle. An altitude is drawn from point R to point S on side M N to form a right angle. The length of N S is 6, the length of S M is 2, the length of R M is x, the length of N R is y, and the length of R S is z.

What is the value of y?

2 StartRoot 3 EndRoot units
4 units
4 StartRoot 3 EndRoot units
8 units

Answers

The value of [tex]y[/tex] will be [tex]4\sqrt{3}[/tex] .

What is triangle ?

Triangle is a three sides two dimensional surface having three angles.

We have,

[tex]\triangle MRN[/tex] , [tex]\triangle RSM[/tex] and [tex]\triangle RSN[/tex],

And, [tex]NS =6,\ SM=2,\ RM=x,\ NR=y,\ RS=z[/tex]

Now,

We have right angle [tex]\triangle MRN[/tex],

Using Pythagoras theorem,

[tex]x^2+y^2=8^2[/tex]

[tex]x^2+y^2+=64\[/tex]     [tex].....(i)[/tex]

Now, We have right angle [tex]\triangle RSN[/tex],

Again Using Pythagoras theorem,

[tex]z^2+6^2=y^2[/tex]

⇒[tex]z^2=y^2-36[/tex]     [tex].....(ii)[/tex]

Now, We have right angle [tex]\triangle RSM[/tex],

Again Using Pythagoras theorem,

[tex]z^2+2^2=y^2[/tex]

⇒[tex]z^2=x^2-4[/tex]     [tex].....(iii)[/tex]

Now comparing equation [tex](ii)[/tex] and equation  [tex](iii)[/tex],

We get,

[tex]x^2-4=y^2-36[/tex]

We get,

[tex]x^2-y^2=-36+4[/tex]

[tex]x^2-y^2=-32[/tex]     [tex].....(iv)[/tex]

Now,

Adding equation [tex](i)[/tex] and equation  [tex](iv)[/tex], i.e.

[tex]x^2+y^2+=64[/tex]

[tex]x^2-y^2=-32[/tex]

We get,

[tex]2y^2=96[/tex]

[tex]y^2=48[/tex]

[tex]y=\sqrt{48}[/tex]

[tex]y=4\sqrt{3}[/tex]

So, the value of [tex]y[/tex] is [tex]4\sqrt{3}[/tex]

Hence, we can say that the value of [tex]y[/tex] will be [tex]4\sqrt{3}[/tex]  which is given in option (b).

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Answer:

its c

Step-by-step explanation:

taking test rn

PLEASE HELP QUICK!!!!!!! WILL GIVE BRAINIEST!!!!!!!!

Answers

Answers:
11. Y = -5x - 11
12. Y = 2x + 1

Find the lateral surface area of the can of mandarin oranges. Round your answer to the nearest tenth.

Answers

Answer:

AL=2πrh

Step - by - step explanation:

Answer:

276.5

Step-by-step explanation:

The formula for the lateral surface area of a cylinder:2 times 3.14 times radius times height


Which of the following statements would best represent the value of a? PLEASE HELP

Answers

Answer:

The statement would best represent the value of a is a = [tex]\frac{6}{tan(38)}[/tex] ⇒ c

Step-by-step explanation:

In the right angle triangle, we can use the trigonometry ratios to find the missing sides or angles

sin β = [tex]\frac{opposite}{hypotenuse}[/tex]cos β = [tex]\frac{adjacent}{hypotenuse}[/tex]tan β = [tex]\frac{opposite}{adjacent}[/tex]

In the given right triangle

∵ There measure of an acute angle is 38°

∵ The adjacent side to this angle is a

∵ The opposite side to this angle is 6

→ We will use the tangent ratio because we have the opposite and

   adjacent sides of the given angle

tan(38°) = [tex]\frac{6}{a}[/tex]

→ Multiply both sides by a to cancel the denominator in the right side

∴ a · tan(38°) = 6

→ Divide both sides by tan(38°) to find a

∴ a = [tex]\frac{6}{tan(38)}[/tex]

The statement would best represent the value of a is a = [tex]\frac{6}{tan(38)}[/tex]

Which is more, 13 feet or 4 yards?

Answers

Answer:

it is 13 feet

Step-by-step explanation:

because it is 4.33333 yards

each month maria earns $225 plus $5 for each newspaper subscription she sells. which equation can be used to best determine x, the number of subsciptions maria must sell, if she wants to earn at least $400 next month? need help ASAP

Answers

Use this equation:
d=5x+225
To make $400, use this
400=5x+225
To solve, subtract 225 from each side.
Leaving you with 175=5x
Then decide by 5

20 points
How many 1 /3 ounce servings are available in 6 ounces

Answers

Answer:

18 servings

Step-by-step explanation:

What is the slope ple

Answers

Answer: 4,1

Step-by-step explanation:

Please help please help please help please help please help please help look at the thingy pls help

Answers

Answer:

The slopes of line segments AC and AD are same or constant i.e [tex]\frac{1}{3}[/tex]

Step-by-step explanation:

We need to find slopes of AC and AD and tell if they are same or not.

The formula used to calculate slope is: [tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]

Finding slope of AC

We have A=(3,2) and C=(0,1)

Finding slope using formula:

We have [tex]x_1=3, y_1=2, x_2=0,y_2=1[/tex]

[tex]Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{1-2}{0-3}\\Slope=\frac{-1}{-3}\\Slope=\frac{1}{3}[/tex]

So, Slope of AC is [tex]\frac{1}{3}[/tex]

Finding slope of AD

We have A=(3,2) and C=(9,4)

Finding slope using formula:

We have [tex]x_1=3, y_1=2, x_2=9,y_2=4[/tex]

[tex]Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{4-2}{9-3}\\Slope=\frac{2}{6}\\Slope=\frac{1}{3}[/tex]

So, Slope of AD is [tex]\frac{1}{3}[/tex]

So, the slopes of line segments AC and AD are same or constant i.e [tex]\frac{1}{3}[/tex]

Tell whether (-1,3) is a solution of the inequality whose graph is shown.

Answers

Answer: No.

Reason: (-1, -3) is (x, y) so, let's find -1 on the X scale first. Alright, -1 is in the blue, which is a great start. Now, it's -3 on the Y portion. And when you graph that, it's not in the blue shaded area, so no, it's not a solution. (TIP: Solution is the Shaded Area)

What is the y-intercept of the line y = 20x?

Answers

Answer:

0

Step-by-step Explanation

[tex]y = 20x \\ \\ y = 20x + 0 \\ \\ equating \: it \: with \\ y = mx + b \\ \\ b = 0 \\ \\ y - intercept \: = 0[/tex]

10) Cameron got 47 questions correct on a test that had 50 total questions. What percent of the questions
did Cameron get correct?

Answers

Answer:

Cameron scored a 94% on his test.

Step-by-step explanation:

47 / 50 = 0.94 x 100 = 94

For you to find the percentage, you need to divide 47/50, which ends up 0.94. After this, multiply by 100 so that you move the decimal place 2 times to the right. Thus, you get 94.

What value of b will cause the system to have an infinite number of solutions?
y=6x+b
-3x+jy=-3

Answers

Answer:

y=6x+b -2x+1/2y=-3. O -6. O -3. O 3. O

what is 12 + 4y = -4x

Answers

Answer:

ummmm

Step-by-step explanation:

u already answer ur own question tho?

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