A toy train travels 3 4 of a lap around a track in of a minute 6 What is the unit rate, in laps per minute, that the train travels around the track?
A 1/8
B 2/9
C 11/12
D 9/2​

Answer:

The average speed on Monday is 27mph

Step-by-step explanation:

Given

Let:

[tex]1\to Sunday[/tex]

[tex]2\to Monday[/tex]

So:

[tex]t_1 = 5.4hr[/tex]

[tex]t_2 = 6hr[/tex]

[tex]s_2 = s_1 - 3[/tex] ---- average speed slower on Monday than Tuesday

Required

The average speed on Monday

Average speed is calculated as:

[tex]Speed = \frac{Distance}{Time}[/tex]

[tex]s = \frac{d}{t}[/tex]

Make d the subject

[tex]d = st[/tex]

On Sunday, we have:

[tex]d = s_1t_1[/tex]

[tex]d = s_1 * 5.4[/tex]

On Monday, we have:

[tex]d = s_2t_2[/tex]

[tex]d = s_2 * 6[/tex]

The distance traveled is constant;

So:

[tex]s_1 * 5.4 = s_2 * 6[/tex]

Make s1 the subject in: [tex]s_2 = s_1 - 3[/tex]

[tex]s_1=3+s_2[/tex]

So, we have:

[tex](3 + s_2) * 5.4 = s_2 * 6[/tex]

Open bracket

[tex]16.2 + 5.4s_2 = 6s_2[/tex]

Collect like terms

[tex]6s_2 - 5.4s_2 = 16.2[/tex]

[tex]0.6s_2 = 16.2[/tex]

Solve for s_2

[tex]s_2 = 16.2/0.6[/tex]

[tex]s_2 = 27[/tex]

The average speed on Monday is 27mph

Step-by-step explanation:

The general equation for a circle is

[tex] {(x - h)}^{2} + {(y - k)}^{2} = {r}^{2} [/tex]

where (h, k) is the coordinates of the center of the circle and r is the radius. Since the circle passes through (4, 4) and (-4, -4), its center is located at the origin, which means its equation becomes

[tex] {x}^{2} + {y}^{2} = {4}^{2} [/tex]

Answer: [tex]\dfrac{1}{\sqrt{2}}[/tex]

Step-by-step explanation:

The value of [tex]\cos 45^{\circ}[/tex] is the fixed value i.e. [tex]\frac{1}{\sqrt{2}}[/tex]

The values of cosine changes from a maximum at [tex]0^{\circ}[/tex] to a minimum at [tex]180^{\circ}[/tex]

for example, [tex]\cos 0^{\circ}=1, \quad \cos 90^{\circ}=0,\quad \cos 180^{\circ}=-1[/tex]

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

A   145/360 * 38

Step-by-step explanation:

Answer:

-24·[tex]\sqrt{35}[/tex]

Step-by-step explanation:

Answer:

840 megabytes

Step-by-step explanation:

hope this helps

Answer:

The number 28 should be written in the red box.

Answer:

I think 230

Step-by-step explanation:

hope it's help.

Answer:

40 i think

Step-by-step explanation:

Answer:

The Slope Equation = y2 -y1 over X2 - X1

Step-by-step explanation:

1.) Pick every graph

2.) Pick any 2 point in the graph

3.) do the slope equation

4.) the answers must be equal  

Answer:

B is correct: 3x=40

Step-by-step explanation:

just cross multiply and mark brainliest if you feel like it :)

Answer:

3x =40

Step-by-step explanation:

3 will cross multiply with x then 4 will multiply 10

Hence 3x=40

Answer:

C. 15 units,

Step-by-step explanation:

The y coordinates are both 39 so the line joining the 2 points is a horizontal line.

Distance = 18-3 = 15.

Answer:

I belive the answer will be 28,350

Answer:

615.75

Step-by-step explanation:

The surface area of this sphere is 615.44 cm² Round to the nearest tenth.

The surface area of a sphere is the total area that is covered by its outer surface. The surface area of a sphere is always expressed in square units. A sphere is a three-dimensional shape analouge of a circle.

The area of a sphere = 4πr^2

here, we have,

To calculate the area of a sphere.

We have as data:

Radius (r) = 7cm

Pi(π) = 3.14

The formula to calculate the area of a sphere is:

S.A. = 4nr²

V = πr³

Substituting values into the equation.

S.A. = 4 (3.14) (7)²

S.A = 615.44 cm²

Hence, the surface area of this sphere is 615.44 cm² Round to the nearest tenth.

Learn more about surface area of sphere;

brainly.com/question/11374994

#SPJ7

Answer: 60 days

Step-by-step explanation:

To get the number of days that both of them will be washing the cars on thesame day, we have to find the lowest common multiple of 15 and 20. This will be:

Multiple of 15 = 15, 30, 45, 60, 75, 90

Multiples of 20 = 20, 40, 60, 80, 100

Lowest common multiple = 60

Therefore, they'll be Washing the car on thesame day on the 60th day.

Step-by-step explanation:

you will add the powers 4×+2=6×

then(-2)^6

Answer:

9.42478

Step-by-step explanation:

Answer:

 9.42 cm^3

Step-by-step explanation:

Answer:

- the pressure will decrease

(volume is doubled ,the pressure reduced by half).

Step-by-step explanation:

P_1 V_1=P_2 V_2

This equation shows that, as volume increases, the pressure of the gas decreases in proportion.

Similarly, as volume decreases, the pressure of the gas increases.

Answer:

166.67%

Step-by-step explanation:

=100×2.4/1.44

=166.67%

Answer:

x = -17/4

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Distributive Property

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

3x + 5(2 + x) = 4x - 7

Step 2: Solve for x

Answer:

x=[tex]\frac{-17}{4}[/tex]

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

3x+5(2+x)=4x−7

3x+(5)(2)+(5)(x)=4x+−7(Distribute)

3x+10+5x=4x+−7

(3x+5x)+(10)=4x−7(Combine Like Terms)

8x+10=4x−7

8x+10=4x−7

Step 2: Subtract 4x from both sides.

8x+10−4x=4x−7−4x

4x+10=−7

Step 3: Subtract 10 from both sides.

4x+10−10=−7−10

4x=−17

Step 4: Divide both sides by 4.

[tex]\frac{4x}{4}[/tex]=[tex]\frac{-17}{4}[/tex]

x=[tex]\frac{-17}{4}[/tex]

Answer:

249.88

Step-by-step explanation:

415-82.13-9.74-31.75-41.50

Answer:

Solve by factoring.

1. 2x^2+9x+26=-4x+5

2x²+9x+4x+26-5=0

2x²+13x+21=0

doing middle term factorization

2x²+7x+6x+21=0

x(2x+7)+3(2x+7)=0

(2x+7)(x+3)=0

either

x=-7/2

or

x=-3.

2.

3x^2-6x-4=0

comparing above equation with ax²+bx+c=0

we get

a=3

b=-6

c=-4

By using quadratic equation

x=[tex] \frac{ - b±\sqrt{ {b}^{2} - 4ac } }{2a} [/tex]

Substituting value

x=[tex] \frac{ 6±\sqrt{ {-6}^{2} - 4*3*-4 }}{2*-4} [/tex]

x=[tex] \frac{ 6±\sqrt{ {84}}}{-8} [/tex]

x=[tex] \frac{ 6±2\sqrt{ {21}}}{-8} [/tex]

-8x=6±2√21

taking positive

-8x=6+2√21

x=[tex] \frac{6+2√21}{-8} [/tex]

x=-[tex] \frac{3+√21}{4} [/tex]

taking negative

-8x=6-2√21

x=[tex] \frac{6-2√21}{-8} [/tex]

x=-[tex] \frac{3-√21}{4} [/tex]

Answer:

1.

It has two solution because it is in quadratic form.

2.

(x-4)²-28=8

x²-8x+16-28-8=0

x²-8x-20=0

Doing middle term factorization

x²-(10-2)x-20=0

x²-10x+2x-20=0

x(x-10)+2(x-10)

(x-10)(x+2)=0

either

x=10

or

x=-2

:. x= 10 or -2

3.

2x²-5x-5=0

Comparing above equation with ax²+bx +c

we get

a=2

b=-5

c=-5

quadratic equation is

[tex]x = \frac{ - b ± \sqrt{ {b}^{2} - 4ac} }{2a} [/tex]

Substituting value

[tex]x = \frac{ 5 ± \sqrt{ {-5}^{2} - 4×2×-5} }{2×-5} [/tex]

-10x=5±[tex] \sqrt{ {25+ 40}}[/tex]

taking + ve

-10x=5+[tex] \sqrt{ {65}}[/tex]

x=-½-[tex] \frac {\sqrt{ {65}}}{10}[/tex]

taking -ve

x=-½+[tex] \frac {\sqrt{ {65}}}{10}[/tex]

Answer:

B

Step-by-step explanation:

hope this helps with the work

Answer:

B

Step-by-step explanation:

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