one morning sam cycles 5 km in 20 mins and Dwight cycles 6 km in 30 mins. determine who cycles faster

Answer:

✺ [tex] \large \tt \: E \: X\: P\: L\: A \: N \: A \: T \: I \: O\: N : [/tex]

☃ [tex] \large{ \tt{GIVEN \: EQUATION}} : [/tex]

[tex] \large{ \bf{↬y = 3x + 5}}[/tex] [ Move 3x from left hand side to right hand side and change it's sign to addition since the opposite of subtraction is addition ]

[tex] \boxed{ \large \:⟿ \tt \:Slope \: (m) = \boxed{ \tt{3} }}[/tex]

[tex] \boxed{ \large { \tt{⟿ \: Y - intercept \: (c \: ) = \boxed {\tt{ 5}}}}}[/tex]

☏ And we're done! Yay , We found our answer !

♕ [tex] \large{ \tt{STUDY \: TIP}}[/tex]

♡ Hope I helped! ✎

☄ Have a wonderful day / night ! ☂

#StayInAndExplore ! ♨

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Answer:

4

Step-by-step explanation:

Volume of cylinder = 2πrh = 2π(4)(6) = 48π

Volume of cone = πr²h/3

Height of cone = √(5² - 3²) = 4

Volume of cone = π(3²)(4)/3 = 12π

Cones to fill cylinder = 48π ÷ 12π = 4

Answer:D

Step-by-step explanation:

I'm prolly wrong so sorry

Answer:

I think it's 'D'

hopefully it's correct!

Answer:

it is eightyseven money

Answer:

y = -1/2x - 1

Step-by-step explanation:

We can use the point-slope form of the equation:

y-y1 = m(x-x1)

Where the given y1 = -2, x1 = 2, and m = -1/2. This yields:

y - (-2) = -1/2(x - 2)

y + 2 = -1/2x + 1

y = -1/2x +1 - 2

y = -1/2x - 1

Answer:

A. 25 feet

Step-by-step explanation:

Answer:

if you solve the question please i request you please read the question carefully after solve the question

Answer:

A

Step-by-step explanation:

First value is 1, second value is 2 and the third value is 6, 1+2 is 3, add 6 and you get 9

Answer:

5/4

Step-by-step explanation:

i show the explanation in picture

Answer:

1.

Step-by-step explanation:

Take two points off of the line. I will use

(1, -2) and (4, 1).

Put them into the slope formula, which is (refresh if you cannot see.)

[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Substitute the values.

[tex]\frac{1-(-2)}{4-1}[/tex]

Subtract both the numerator and the denominator.

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

Simplify to get

1.

The slope of the line provided is 1.

Answer:

The amount of Hongkong dollars they receive will be HK$13,436.

Step-by-step explanation:

Hong Kong dollars exchanged by family in Singapore = HK$35,000

Exchange rate: HK$100= S$ 16.235

Singapore dollars received by family after the exchange :

[tex]=\frac{S\$ 16.235}{HK\$100}\times HK\$35,000=S\$5,682.25[/tex]

Total expenditure of the family in Singapore = S$3500

Remaining Singapore dollars = S$5,682.25 - S$3,500 = S$2,182.25

After the end of the trip, the family exchanged their remaining Singapore dollars with Hong Kong dollars at the exchange rate of:

HK$ 100=S$16.242

The amount of Hongkong dollars family received:

[tex]=\frac{HK\$ 100}{S\$16.242}\times S\$2,182.25=HK\$13,435.84 \approx HK\$13,436[/tex]

The amount of Hongkong dollars they receive will be HK$13,436.

Answer:

[tex]:\implies \boxed{\red{\sf m \in (-1,-\infty)}}[/tex]

Step-by-step explanation:

Given :-

We need to find the solution set for the given inequality . So , on solving it , we have ,

[tex]:\implies[/tex] 4m + 6 < 2

[tex]:\implies[/tex] 4m < 2 - 6

[tex]:\implies[/tex] 4m < -4

[tex]:\implies[/tex] m < -4/4

[tex]:\implies[/tex] m < -1

Hence m can have all values less than -1. Therefore the final answer is ,

[tex]:\implies \boxed{\red{\sf m \in (-1,-\infty)}}[/tex]

Hence m can have all values less than-1.

Step-by-step explanation:

Area of rectangle= l x b

= 245 x 245

=60025

Area of triangle = (1/2) x b x h

=(1/2) x 245 x 245

=30012.5

Area of shaded part = Area of rectangle - Area of triangle

=60025 - 30012.5

=30012.5

Answer:

Equation: 3.75x+58=226.75

Step-by-step explanation:

Answer:

Equation: 3.75x + 58 = 226.75

x = 45

Step-by-step explanation:

DeltaMath

Answer:

B) 24

Step-by-step explanation:

The area of the rectangle is 48 units (8 x 6).

The base of the is 6 units and the height is 8 units. The formula for the are of a triangle is A = [tex]\frac{1}{2}[/tex]bh.

b = base

h = height

A = [tex]\frac{1}{2}[/tex](6)(8)

A = 24

Answer:

[tex]24[/tex]

Step-by-step explanation:

If the area of a rectangle is bh, and the area of a triangle is bh/2, then a triangle's area is half a rectangle's area. Hence, if the area of the rectangle is 48, the area of the triangle is half of 48, or 24.

Responder:

2³

5⁴

10³

a^6

Explicação passo a passo:

Quando um certo valor é multiplicado repetidamente,

Por exemplo,

a * a * a * a = a⁴ (a multiplicado 4 vezes)

Por isso,

2 x 2 x 2 = 2³

5 x 5 x 5 x 5 = 5⁴

10 x 10 x 10 = 10³

a x a x a x a x a x a = a^6

Answer:

7/8

Step-by-step explanation:

Andrea recipe for cranberry relish is

1 3/4

= 7/4

He wants to use 1/2 of that amount

Therefore the amount of sugar he should use can be calculated as follows

= 7/4×1/2

= 7/8

Answer: the first one

Step-by-step explanation:

-7 and - 9

Step-by-step explanation:

Area of rectangule is length * width

Answer:

9x² - 12x + 4

Division Property

Step-by-step explanation:

(3x-2)² = (3x-2)(3x-2)

using the foil method we get:

9x² - 6x - 6x + 4

combine 'like' terms to get:

9x² - 12x + 4

2x = 10  To get 'x' by itself, since it's being multiplied by 2 we must do the inverse operation which is division

If we divide one side of an equation by 2 we must do the same to the other side, giving us:

x = 10/2 which is x = 5

Answer:

[tex]9x^{2} - 12x + 4[/tex]

Division property: divide both sides by 2

Step-by-step explanation:

[tex](3x - 2) ^{2} [/tex]

[tex](3x - 2)(3x - 2)[/tex]

[tex]3x(3x−2)−2(3x−2)[/tex]

[tex]3x(3x)+3x(−2)−2(3x−2)[/tex]

[tex] {9x}^{2} - 6x - 6x + 4[/tex]

[tex]9x^{2} - 12x + 4[/tex]

[tex]2x = 10[/tex]

[tex]x = 5[/tex]

Answer:

1st option is correct

Step-by-step explanation:

Answer:I think its Shannon

Step-by-step explanation:

Answer:

0.0952

Step-by-step explanation:

Answer:

Sum of angles of a triangle is 180, so x + y + w = 180

Straight angle is 180 , so y + z = 180

From the first 2 conditions :

=>x + y +w = y + z

=> x + w = z  

Option 1, 2, 5

The equations which are true are given by,

Equation is a mathematical relation between more than one variable, number or mathematical quantities involving mathematical operations using equal sign in between them.

From angle sum property of triangle says that the sum of all interrior angles of a triangle is 180.

Here all interrior angles of triangle are x,y,w

So, x+y+w = 180

Hence first option is correct.

Again the exterrior angle of a triangle is equal to the sum of the opposite two interrior angles.

here exterrior angle is z and opposite two interrior of z are x,w

So, w+x = z

Hence last option is correct.

Again y+z = y+w+x

so second option is also true.

Hence correct options or equations are given by:

Learn more about Equation here -

https://brainly.com/question/13763238

#SPJ2

Answer:

a. a = 3, b = 2

b. The coordinate of the center is (2, -1)

c. The eccentricity of the ellipse is √5/3

d. Please see attached graph of the ellipse created with MS Excel

Step-by-step explanation:

7. a. The given equation of the ellipse is presented as follows;

4·x² + 9·y² - 16·x + 18·y - 11

The general equation of an ellipse

[tex]\dfrac{(x - h)^2}{a^2} + \dfrac{(y - k)^2}{b^2} = 1[/tex]

We can write;

4·x² - 16·x + 9·y² + 18·y - 11

4·(x² - 4·x + 4) + 9·(y² + 2·y + 1) - 25 - 11

4·(x² - 4·x + 4) + 9·(y² + 2·y + 1) =  25 + 11 = 36

4·(x - 2)² + 9·(y + 1)² = 36

[tex]\dfrac{4\cdot (x - 2)^2}{36} + \dfrac{9 \cdot (y + 1)^2}{36} = \dfrac{36}{36}[/tex]

[tex]\therefore \dfrac{ (x - 2)^2}{9} + \dfrac{ (y + 1)^2}{4} = \dfrac{ (x - 2)^2}{3^2} + \dfrac{ (y + 1)^2}{2^2} = 1[/tex]

By comparison, a = 3, b = 2, h = 2, k = -1

b. The coordinate of the center, (h, k) = (2, -1)

c. The eccentricity of the ellipse = c/a

c² = a² - b²

∴ c² = 3² - 2² = 5

c = √5

Eccentricity = √5/3

d. Please find attached the graph of the ellipse created with MS Excel

Step-by-step explanation:

Answer:

2a-2b

Step-by-step explanation:

2(a-b)         use distributive property

2a-2b        

hope this helped :)