A race walker completed a 13 mile walk in 2.5 hours. What is the walker's speed per hour?

Answer:

[tex]\boxed{\boxed{\pink{\bf \leadsto Option \ second\ is \ correct . }}} [/tex]

A linear inequality is given to us . And we need to find the correct number line. So the given linear inequality is :-

[tex]\bf\implies 3x -2 \leq 2x + 1 \\\\\bf\implies 3x -2x \leq 2 + 1 \\\\\bf\implies x \leq 2 + 1 \\\\\bf\implies\boxed{\red{\bf x \leq 3 }}[/tex]

This means that the value of x can be less than or equal to 3 . That is it means x ≤ 3. So , the required solution set will be ,

[tex]\boxed{\purple{\bf \{x | x \in \mathbb{R} , x \leq 3 \}}}[/tex]

Answer:

second option is correct:)

Step-by-step explanation:

Answer:

it's your answer

Step-by-step explanation:

60+5(6÷2)

60+30÷10

60+3

63

18+(10-6)square

18+(100-36)

18+64

82

Answer:

To convert radians to degrees, multiply by 180π , since a full circle is 360° or 2π radians. Cancel the common factor of π .

Answer:

144∘

Step-by-step explanation:

4π5⋅180∘π=144∘

Answer:

120ft.

Step-by-step explanation:

A garden is designed in the shape of a rhombus formed from 4 identical 30°-60°-90° triangles. The shorter distance across the middle of the garden measures 30 feet. What is the distance around the perimeter of the garden? 120ft.

The perimeter of the rhombus is P = 120 feet

A Rhombus has four sides of the same length, its perimeter can be determined using the formula Perimeter = 4a, where "a" stands for the side's length.

When the two diagonals of a rhombus are known,

The perimeter = 2√p² + q²

where 'p' and 'q' are the diagonals.

Given data ,

Let the rhombus be represented as ABCD

Let the side length of the rhombus be AB = 30 feet

And , perimeter = 2√p² + q²

And , P = AB + BC + CD + AD

Due to the four triangles' similarity, we may conclude that AC is divided at O. So, we are aware that AO = 15 feet.

In ΔAOD,

(Perpendicular/hypotenuse) = sin 30°

or, 1/2 = 15/AD

otherwise, AD = 15 x 2 = 30 ft

So, AD equals 30 feet.

Given that all of a rhombus' sides are equal and all four of its triangles are the same, we have AB = BC = CD = AD = 30 feet.

On simplifying , we get

P = 4 ( 30 feet )

So , P = 120 feet

Hence , the perimeter is 120 feet

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Answer:

it issss 99+11d :)

Step-by-step explanation:

hope I helped

Answer:

99 + 11d

Step-by-step explanation:

11(9+d)

distribute the 11 into the ( )

99 + 11d

Hope this Helps!!!

Answer: C. Two of the side lengths add to a sum that is less than the third side length, so these lengths cannot be used to draw any triangles.

Explanation:

Those two sides in question are 8 and 12. They add to 8+12 = 20, but this sum is less than the third side 24. A triangle cannot be formed.

Try it out yourself. Cut out slips of paper that are 8 units, 12 units, and 24 units respectively. The units could be in inches or cm or mm based on your preference.

Then try to form a triangle with those side lengths. You'll find that it's not possible. If we had the 24 unit side be the horizontal base, so to speak, then we could attach the 8 and 12 unit lengths on either side of this horizontal piece. But then no matter how we rotate those smaller sides, they won't meet up to form the third point for the triangle. The sides are simply too short. Other possible configurations won't work either.

As a rule, the sum of any two sides of a triangle must be larger than the third side. This is the triangle inequality theorem.

That theorem says that the following three inequalities must all be true for a triangle to be possible.

where x,y,z are the sides of the triangle. They are placeholders for positive real numbers.

So because 8+12 > 24 is a false statement, this means that a triangle is not possible for these given side lengths. Therefore, 0 triangles can be formed.

Answer:

b6÷3=b26√c6=c , which is c6÷6=c1 a 6 = a 3

Step-by-step explanation:

i like the answer on top of mines

Answer:

d)[tex] \frac{dy}{dx} = - \frac{6}{(2x - 5)^{4} } [/tex]

Gradient of curve at y= ⅛ is [tex] - \frac{3}{8} [/tex].

Step-by-step explanation:

Please see the attached pictures for the full solution.

Answer:

[tex]y = \frac{1}{2} x + \frac{5}{2} [/tex]

Step-by-step explanation:

hope this helps!

Answer:

3,000,000+700,000+4,000

Answer:

3,000,000+700,000+4,000

Step-by-step explanation:

you just separate the parts

Answer:

7.5

Step-by-step explanation:

10x + 8x + 6x = 180°

24x = 180°

x = 180°÷24

× = 7.5

HOPE IT HELPS YOU.

HOPE IT HELPS YOU.

HOPE IT HELPS YOU.

Answer:

1. b=39.497

2. c=3.606

3. a=18.974

Step-by-step explanation:

1.

41^2-11^2=b^2

1681-121=b^2

b^=1560

b=39.497

2.

2^2+3^2=c^2

4+9=c^2

c^2=13

c=3.606

3.

21^2-9^9=a^2

441-81=a^2

a^2=360

a=18.974

Answer:

the answer is 440 square inches.

you just have to multiply all the numbers.

Answer:

B. 440 square inches

Step-by-step explanation:

all you have to do multiply 5x8x11 = 440

Answer:

-18

Step-by-step explanation:

Answer:

6 degrees F

Step-by-step explanation:Since it was at 12 and it was 4 am.Going down 3 degrees by the hour and it six do 12-3-3.

5. 0384748939

Step-by-step explanation:

let's take the ramp, if u draw a diagram 8, 10 and the unknown value makes a right angled triangle

So according to pythogaraos(dnot care the spelling) theorem a square + b square = c square

Now 10 is the hypothenuse, so let's rearrange them as c square - b square = a square

now apply the values, 10 square - 8 square = X square

100 - 64 = X square

36 = X square

now root of 32 is-------

I MESSED UP I GUESS

Answer:

y = - 2x + 16

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (7, 2) and (x₂, y₂ ) = (2, 12)

m = [tex]\frac{12-2}{2-7}[/tex] = [tex]\frac{10}{-5}[/tex] = - 2, then

y = - 2x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (2, 12 )

12 = - 4 + c ⇒ c = 12 + 4 = 16

y = - 2x + 16 ← equation of line

Answer:

2340 units²

Step-by-step explanation:

The easiest way to solve for the area of the hexagon is to find the area of the rectangle and subtracting the area of the triangles from it.

First, find the area of the rectangle:

A(rectangle) = (15 + 30 + 15)(26 + 26)

A(rectangle) = (60)(52)

A(rectangle) = 3120

Next, find the area of the 4 triangles:

A(triangles) = 1/2(15)(26) · 4

A(triangles) = 195 · 4

A(triangles) = 780

Finally, subtract the two areas to find the area of the hexagon:

A(hexagon) = 3120 - 780

A(hexagon) = 2340

Based on the information given the area of hexagon is 2340.

First step is to find the area of the rectangle:

Area of rectangle= (15 + 30 + 15)(26 + 26)

Area of rectangle=60×52

Area of rectangle= 3120

Second step is to find the area of the 4  triangles:

Area of rectangle =[1/2(15)(26)]×4

Area of rectangle= 195 × 4

Area of rectangle= 780

Third step is to find the area of hexagon:

Area of hexagon= 3120 - 780

Area of hexagon=2340

Inconclusion  the area of hexagon is 2340.

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Answer:

69

Step-by-step explanation:

Answer:

3:6:4

Step-by-step explanation:

We are given that

Number of apples in the basket=12

Number of pears in the basket=24

Number of oranges in the basket=16

We have to find the ratio of apples, pears and oranges in the  basket.

[tex]12=4\times 3[/tex]

[tex]24=4\times 3\times 2[/tex]

[tex]16=4\times 2\times 2[/tex]

HCF (12,24,16)=4

Now, divide each number by HCF

Then, we get

3:6:4

Therefore, the ratio of apples, pears and oranges in the  basket.

3:6:4

Answer 4560

Step-by-step explanation:

Take 1,000 over 4.56 and mutiply  6 times all the zeros wich gets

Take 6 times 1 and thats 6

And repeat that until you run out of dights which in this case is just 4.56

Answer:

first, third, and fourth

Step-by-step explanation:

The solutions are,

8-6a. 110

8-6b. 20

8-6c. 48

8-6d. 108

8-7 C and H are not polygon, the rest are all polygon

The area of the figure is 45 sq.mi and the perimeter is 23.5354 mi.

Area is the space occupied by a two dimensional object,

The area and perimeter of the given shape can be determined by dividing it into basic shapes.

here, we have,

The area and the perimeter of the shape given

= Area of the rectangle +Area of upper triangle - Area of two small triangles at the bottom

Area of rectangle = 5 mi * 9 mi = 45 sq.mi

Area of upper Triangle = (1/2) *9*3 = 27/2 sq.mi

Area of small Triangle = (1/2) * 3*6 = 9 sq.mi

Area of other small Triangle = (1/2)*3*3 = 9/2 sq.mi

Area of the figure = 45 +13.5 -9-4.5

Area of the figure =  45 sq.mi

Similarly for Perimeter = Perimeter of the rectangle +Perimeter of upper triangle -Perimeter of two small triangles at the bottom

Perimeter = 28 -(3+6+6.708) -(3+3+4.2426) +(3+9+9.486

Perimeter = 23.5354 mi

Therefore , The area of the figure is 45 sq.mi and the perimeter is 23.5354 mi.

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Answer:

Yes

3

Step-by-step explanation:

a direct variation is written in the form

y = kx

k is a constant which is usually non zero.

6y = k18x

k = 3

An increase in x would lead to an increase in y

Answer:

One

Step-by-step explanation:

There will be one unique solution of the equation y = 5x - 1 and y = 3x + 7. The correct option is B.

A finite collection of equations for which we searched for common solutions is referred to in mathematics as a system of equations, sometimes known as a set of simultaneous equations or an equation system. Similar to single equations, a system of equations can be categorized.

A linear equation can only have one unique solution, which is a location at which the LHS and RHS of the equation are equal. There is only ever one solution to a linear equation with one variable.

y = 5x - 1

y = 3x + 7

5x - 1 = 3x + 7

2x = 8

x = 4

y = 19

Therefore, there will be one unique solution of the equation y = 5x - 1 and y = 3x + 7.

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Answer:

5%

Step-by-step explanation:

10/200 × 100 = 5

hope this helps...