If k = -18 and m = 7, what is m - k?
Submit

Given:

Steven charges $31.25 for 5 hours and $43.75 for 7 hours.

To find:

The equation that represents the relationship.

Solution:

Let x represent the number of hours Steven babysits and y represent the amount he charges.

Then the two points on the function are (5,31.25) and (7,43.75). So, the equation of the line that passes through these two points is:

[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

[tex]y-31.25=\dfrac{43.75-31.25}{7-5}(x-5)[/tex]

[tex]y-31.25=\dfrac{12.5}{2}(x-5)[/tex]

[tex]y-31.25=6.25(x-5)[/tex]

On further simplification, we get

[tex]y-31.25=6.25(x)-6.25(5)[/tex]

[tex]y-31.25=6.25x-31.25[/tex]

[tex]y=6.25x-31.25+31.25[/tex]

[tex]y=6.25x[/tex]

Therefore, the required equation for the given situation is [tex]y=6.25x[/tex].

Answer:

The volume 27.

The volume of a cube:

Volume = side³

The volume of a cube with side 3 units is 27 cubic units.

It is a polygon having six faces.

The volume of a cube:

Volume = side³

Example:

The volume of a cub with a side length of 2 cm is 8 cubic cm.

We have,

Side = 3 units

Volume = Side³

Volume:

= 3³

= 3 x 3 x 3

= 27 cubic units

Thus,

The volume of a cube with side 3 units is 27 cubic units.

Learn more about cubes here:

https://brainly.com/question/11168779

#SPJ2

Answer:

$4.35

Step-by-step explanation:

Step-by-step explanation:

6/20

3/10 (simplified)

do you want the percentage?

Answer:

[tex]\frac{3}{10}[/tex]

Step-by-step explanation:

The multiplies of 3 from 1-20 are:

3, 6, 9, 12, 15, 18

Since there are [tex]20-1+1=20[/tex] numbers from 1-20 inclusive, the probability that a ball is a multiple of 3 is [tex]\frac{6}{20}=\boxed{\frac{3}{10}}[/tex]

Answer:

answer is A. you can see each intervals slowly to know this

Answer:

a.  (-3, 6)

b. 268.3 m

Step-by-step explanation:

a. Determine the coordinates of the tennis court.

Let (x,y) be the coordinates of the tennis court. Since we have equal distances from the tennis court to each residence, we have using the equation for distance between two points (x₁,y₁) and (x₂,y₂), d = √[(y₂ - y₁)² + (x₂ - x₁)²]. Using the first two residences, (-6, 12) and (0,0) as (x₂,y₂) and (x, y) = (x₁,y₁), So,

d = √[(12 - y)² + (-6 - x)²]

d = √[(12 - y)² + (6 + x)²]

d = √[(144 - 24y + y² + 36 + 12x + x²]

d = √x² + y² + 12x - 24y + 180

d² = x² + y² + 12x - 24y + 180  (1)

Also, with (x₂, y₂) = (0,0) we have

d = √[(0 - y)² + (0 - x)²]

d = √[( - y)² + (- x)²]

d = √[y² + x²]

d = √[x² + y²]

d² = x² + y²  (2)

Also, with (x₂, y₂) = (3,9) we have

d = √[(9 - y)² + (3 - x)²]  

d = √[(81 - 18y + y² + 9 - 6x + x²]

d = √(x² + y² - 6x - 18y + 90)

d² = x² + y² - 6x - 18y + 90 (3)

Substituting (2) into (1), we have

d² = x² + y² + 12x - 24y + 180   (1)

d² = d² + 12x - 24y + 180  (1)

d² - d² = 12x - 24y + 180

12x - 24y + 180 = 0

12x - 24y = -180

dividing through by 12, we have

x - 2y = -15  (4)

Substituting (2) into (3), we have

d² = x² + y² - 6x - 18y + 90 (3)

d² = d² - 6x - 18y + 90 (3)

d² - d² = - 6x - 18y + 90

- 6x - 18y + 90 = 0

- 6x - 18y = -90

dividing through by -6, we have

x + 3y = 15 (5)

Subtracting (5) from (4), we have

x - 2y = -15  (4)

-

x + 3y = 15 (5)

-5y = -30

y = -30/-5

y = 6

substituting y = 6 into (4), we have

x - 2y = -15

x - 2(6) = -15

x - 12 = -15

x = 12 - 15

x = -3

So, the coordinates of the tennis court is (-3, 6)

b. What is the distance from a residence to the court to the nearest 10th of a metre? (1unit=40m).

Using equation (2),

d² = x² + y²  (2) where x and y are the coordinates of the tennis court, and x = -3 and y = 6

So,

d² = x² + y²  

d² = (-3)² + (6)²  

d² = 9 + 36  

d² = 45

d = √45 units

Since 1 unit = 40 m,

d = √45 × 40 m

d = 6.708 × 40 m

d = 268.33 m

d ≅ 268.3 m to the nearest tenth of a metre

Answer:

First you convert the mixed numbers into improper fraction

[tex]8\frac{3}{8} = \frac{67}{8} \\\\6 \frac{3}{4} = \frac{27}{4}[/tex]

Solution

[tex]A=\frac{\frac{27}{4} + \frac{67}{8} }{2}[/tex]

[tex]A=\frac{\frac{54 + 67}{8} }{2}[/tex]

[tex]A\frac{\frac{121}{8} }{2}[/tex]

[tex]A=\frac{121}{8}[/tex] * [tex]\frac{1}{2}[/tex]

[tex]A= \frac{121}{16}[/tex]

[tex]A= 7 \frac{9}{16}[/tex]

Step-by-step explanation:

Answer:

[tex]\displaystyle d = 4[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Algebra II

Step-by-step explanation:

Step 1: Define

Identify

Point (-3, 5)

Point (1, 5)

Step 2: Find distance d

Simply plug in the 2 coordinates into the distance formula to find distance d

Answer:

0.89 m is the answer

Step-by-step explanation:

the wall, the ground and portion of pipe form a right angle triangle with pipe portion being the hypotenuse.

for a right triangle

[tex]{hypotenuse}^{2} = {base}^{2} + {height}^{2} [/tex]

here we have base = 3m and height = 2m.

thus

[tex] {h}^{2} = {3}^{2} + {2 }^{2} \\ = 9 + 4 \\ = 13 \\ h = \sqrt{13} [/tex]

portion of pipe overhanging = 4.5 - sqrt (13)

= 4.5 - 3.61

= 0.89 m

Answer: conjecture

Step-by-step explanation:

A conjecture is a statement or an opinion based on logical reasoning or trivial facts that are always true. It does not require any proof.

Thus, A conjecture is a statement that you conclude to be true based on logical reasoning.

Note:

Answer:

∠B, ∠A, ∠C

Step-by-step explanation:

The largest angle will have the largest side length and vice versa.

Hi. the answer should be E. B A C

hope this helps!

Answer:

Gradient = -5

Step-by-step explanation:

The gradient of a line is the slope of the line.

The standard form of the line equation is y = mx  + b

where m is the slope ( or gradient) b is the y - intercept.

Given :

2y = -10x + 1

[tex]y = -\frac{10}{2} x + \frac{1}{2}\\\\y = -5x + \frac{1}{2}\\\\Therefore , \ gradient \ is \ -5[/tex]

The gradient of the line whose equation is 2y=-10x+1 is -5.

Gradient could be a measure of how steep a slope or a line is.

The equation of the road is 2y=-10x+1

y=-5x+1/2

Therefore the gradient of the line is that the coefficient of x which is -5.

Hence the gradient of the line is -5.

Learn more about gradient at https://brainly.com/question/23016580

#SPJ2

Answer:

Option d) 2.1 + 2x = 7.5

Step-by-step explanation:

An isosceles triangle is a triangle with two equal sides.

Perimeter of a triangle is some of all the 3 sides.

Let the equal sides be x

Let the third side be y

Therefore,

              Perimeter = x + x + y

                         7.5 = 2x + y    

                          7.5 = 2x + 2.1                    [ given shortest side, y = 2.1m ]

Answer: Cause why not?

Step-by-step explanation:

[tex]3(4x-1)=-2x+19+8x-4[/tex]

First combine like terms:

[tex]3(4x-1)=(-2x+8x)+(19-4)\\\\3(4x-1)=6x+15[/tex]

Now distributive property

[tex](3)(4x)-(3)(1)=6x+15\\12x-3=15+6x[/tex]

Additive Property of Equality

[tex]12x-3+3=15+6x+3\\12x=18+6x[/tex]

Subtractive Property of Equality

[tex]12x-6x=18+6x-6x\\6x=18[/tex]

And finally Division Property of Equality

[tex]\frac{6x}{6} =\frac{18}{6} \\x=3[/tex]

Answer:

B and C

18-10 is 8

6 times 10 is 60

Answer:

yards of wire left on the roll = 500 - r(3)

Step-by-step explanation:

9 feet = 3 yards we need to find how much wire is left on the roll after she builds a certain amount of robots. she uses 9 feet or 3 yards per robot so we have to multiply the amount of robots (r) by 3 yards and subtract that from 500 yards or the total amount of wire she has and that gives us the total amount of wire she has left. Hope this helps.

Answer:

4 1/3 inches   Smaller piece

16 2/3 inches   Larger piece

Step-by-step explanation:

x + (2x + 8) = 21

3x + 8 = 21

3x = 13

x = 13/3

x = 4 1/3 inches   Smaller piece

2x + 8 = 8 2/3 + 8

2x + 8 = 16 2/3 inches   Larger piece

Answer:

30'000 gallons approx

Step-by-step explanation:

day 2 - 500,000 gallons

day 4 - 250,000 gallons

day 6 - 125,000 gallons

day 8 - 62,500 gallons

day 10 - 31,250 gallons

Answer:

M1=44 M2=136 M3=44 M4=136

Step-by-step explanation:

M3= 44 so M1=44 due to opposite angles being equal

then if two of the angles add to 88

360-88= 272

divide 272 by 2 as M2 and M4 are equal

272/2=136

Answer:

m∠1 = 44°

m∠2 = 136°

m∠4 = 136°

Step-by-step explanation:

m∠1 explanation:

I got it from m∠3 since they're both congruent

m∠2 explanation:

Since we already have the measure of 3 and 1, we can easily add both of the measures (44 + 44 = 88°) then subtract it from 360° (total) = 272°

Then since both measures (2 and 4) are congruent (measuring the exact same length and angle) we can divide 272° ÷ 2 = 136°

m∠4 explanation:

I got it from m∠2 since they're both congruent

Answer:

Volume left = 16π cm³ or 50.265 cm³

Step-by-step explanation:

Let's first find the surface area of the tennis ball.

S.A = (4/3)πr³

Radius of a ball = 2 cm

Thus;

S.A = (4/3)π(2)³

S.A = 32π/3

Since there are 3 radius balls that will make the cylinder full, then;

Surface area of 3 balls = 3 × 32π/3 = 32π

Now, formula for volume of cylinder is;

V = πr²h

r = 2 cm

h = 4 × 3 = 12 (since diameter of tennis ball is 4 cm)

Thus;

V = π × 2² × 12

V = 48π

Thus;

Volume left = Volume of cylinder - surface area of 3 balls = 48π - 32π = 16π cm³ or 50.265 cm³

Answer:

21

Step-by-step explanation:

(base1+base2)2/ height

Answer:

yes

Step-by-step explanation:

when I add 65+72 and the answer gave me and I find the square root of that number

Answer:

D would be the answer

Step-by-step explanation:

Took the test got it correct <33 good luck

Answer:

Tina worked [tex]3 \frac{5}{6}[/tex] hours on Friday.

Step-by-step explanation:

To solve for how many hours Tina worked on Friday you have to add up all the hours worked then subtract that from 15 hours to get the remainder.

Step 1 : Add up all the hours worked so far.

[tex]3\frac{1}{2}[/tex] + 4 + [tex]2\frac{1}{6}[/tex]  + [tex]1\frac{1}{2}[/tex] = ?

We need to turn these mixed numbers into improper fractions first so we can add. Let's turn them all into sixths.

[tex]3 \frac{3}{6}[/tex] + 4 + [tex]2\frac{1}{6}[/tex] + [tex]1 \frac{3}{6}[/tex] = [tex]11\frac{1}{6}[/tex]

Allright, so now we know that Tina already worked 11 and 1/6 hours already, so we subtract that from 15 to find how many hours she worked on Friday.

Step 2 : Subtract [tex]11\frac{1}{6}[/tex] from 15.

15 - [tex]11\frac{1}{6}[/tex] = [tex]3 \frac{5}{6}[/tex]

Therefore Tina worked [tex]3 \frac{5}{6}[/tex] hours on Friday.

Hope this helps, please mark brainliest if possible. Have a great day.

Answer:

Step-by-step explanation:

x² + 5x³ +2x + 4 - 3x⁴

1) -3x⁴ + 5x³ + x²  + 2x + 4

2) Coefficient of  x⁴ term = -3

3) Index (Exponent) of term x = 1

4) Degree of the  expression : Highest power/exponent/ index is the degree.

Degree of the  expression = 4

5) Constant term : 4

6) There are 5 terms in the expression

7) x = 2

-3(2)⁴ +5(2)³ + 2² + 2*2 + 4 = -3*16 + 5*8 + 4 + 4 + 4

                        = -48 + 40 +4 + 4 + 4

                        = 4

Answer:

45°

Step-by-step explanation:

The angles should add to 180°. so we can say 2x+45+x=180

3x+45=180

3x=135

X=45°

Answer:

x = 45°

Step-by-step explanation:

The sum of both angles should add up to 180°, because they are supplementary. Supplementary angles is just another way of saying two angles on a straight line. In order to find the value of x:

Given |

[tex]2x + 45 + x = 180[/tex]

2x + x

Combine like-terms. |

[tex]3x + 45 = 180[/tex]

180 - 45

Subtraction Property of Equality. |

[tex]3x = 135[/tex]

135 / 3

Division Property of Equality. |

[tex]x = 45[/tex]

Answer:

ur mom kid

Step-by-step explanation:fotnite

Answer:

Can I have your points because you stole it

my precious points

your answer is helpless