A runner is preparing for a marathon that is cut into 5 equal sections. The marathon is 42.95 kilometers long. How long is each section of the marathon?
214.75 km
21.475 km
8.59 km
0.859 km

Answer:

second option

Job A pays more by $4.75

Step-by-step explanation:

Answer:

job A pays more than all the other jobs

Answer:

125

Step-by-step explanation:

5/(4%)=125

Answer:

x = 1/2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

x + 18/4 = 5

Step 2: Solve for x

Answer: 56.72 m, 72.6 m

Step-by-step explanation:

Given

The initial angle of elevation is [tex]38^{\circ}[/tex]

after walking 25 m, the angle of elevation is [tex]50^{\circ}[/tex]

In [tex]\triangle ABD[/tex]

[tex]\Rightarrow \tan 38^{\circ}=\frac{h}{x+25}[/tex]

[tex]\Rightarrow h=\tan 38^{\circ}(x+25)\quad \ldots(i)[/tex]

In [tex]\triangle ABC[/tex]

[tex]\Rightarrow \tan 50^{\circ}=\frac{h}{x}\\\\\Rightarrow h=x\tan 50^{\circ}\quad \ldots(ii)[/tex]

From (i) and (ii)

[tex]\Rightarrow x\tan 50^{\circ}=(x+25)\tan 38^{\circ}\\\Rightarrow 1.191x-0.781x=25\times 0.781\\\Rightarrow 0.4104x=19.532\\\Rightarrow x=47.59\approx 47.6\ m[/tex]

[tex]\Rightarrow h=47.6\times \tan 50^{\circ}=56.72\ m[/tex]

The distance of tree bottom and Chidi's  is

[tex]\Rightarrow x+25=47.+25=72.6\ m[/tex]

Answer:

3 times 4 over 5 equals 2.4

Step-by-step explanation:

Answer:

Are not

Step-by-step explanation:

9514 1404 393

Answer:

Step-by-step explanation:

To see what multiple y is of x, divide y by x:

  y/x = 3/1 = 3

  y/x = 5/2 = 2.5

  y/x = 6/3 = 2

The values 3, 2.5, and 2 are not all the same, so you must conclude y is not a constant multiple of x.

If the multiple is not constant, the relationship is not proportional.

Answer:

lee know

Step-by-step explanation:

The circle intersect the x-axis at (-17,0) and (17,0); and the circle intersect the y-axis at (-17,0) and (17,0).

A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant; alternatively, it is the shape formed by all points in a plane that are at a set distance from a given point, the centre.

As it is stated that the point (8,15) lies on the circle, while the center of the circle is at (0,0). Therefore, the line connecting the point and the center of the circle will be the radius of the circle. The length of the radius of the circle will be equal to,

[tex]\text{Length of the radius}=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\\text{Length of the radius}=\sqrt{(8-0)^2+(15-0)^2} = \sqrt{64+225} = 17[/tex]

Now, as we know that the circle is centerd at the origin therefore, it will intersect its axis at a length that is equal to its radius as shown below. Therefore, the circle intersect the x-axis at (-17,0) and (17,0); and the circle intersect the y-axis at (-17,0) and (17,0).

Learn more about Circle:

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Answer:

Simplifying

(7y + 27) + (15x + -5) = 125

Reorder the terms:

(27 + 7y) + (15x + -5) = 125

Remove parenthesis around (27 + 7y)

27 + 7y + (15x + -5) = 125

Reorder the terms:

27 + 7y + (-5 + 15x) = 125

Remove parenthesis around (-5 + 15x)

27 + 7y + -5 + 15x = 125

Reorder the terms:

27 + -5 + 15x + 7y = 125

Combine like terms: 27 + -5 = 22

22 + 15x + 7y = 125

Solving

22 + 15x + 7y = 125

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-22' to each side of the equation.

22 + 15x + -22 + 7y = 125 + -22

Reorder the terms:

22 + -22 + 15x + 7y = 125 + -22

Combine like terms: 22 + -22 = 0

0 + 15x + 7y = 125 + -22

15x + 7y = 125 + -22

Combine like terms: 125 + -22 = 103

15x + 7y = 103

Add '-7y' to each side of the equation.

15x + 7y + -7y = 103 + -7y

Combine like terms: 7y + -7y = 0

15x + 0 = 103 + -7y

15x = 103 + -7y

Divide each side by '15'.

x = 6.866666667 + -0.4666666667y

Simplifying

x = 6.866666667 + -0.4666666667y

Step-by-step explanation:

Because I know

Answers

quadrilateral with two pairs of consecutive sides congruent and no opposite sides congruent is called a kite.

Answer:

B

Step-by-step explanation:

Enter the following transactions into Richard’s checkbook register and state his ending balance:

Date

Type

Description

Amount

03/01

Check #204

Blue Sky Apartments

$455.00

03/05

DEP

Payroll automatic deposit

$390.36

03/08

Debit

Benny’s Hamburgers and Fries

$9.20

03/15

Check #205

Car payment

$251.59

03/19

DEP

Payroll automatic deposit

$390.36

a.

$715.79

b.

$1,009.81

c.

$780.72

d.

$880.24

Answer:b

Step-by-step explanation:

Answer:

56 times

Step-by-step explanation:

An exponent are a quantity representing the power to which a given number or expression is to be raised, usually expressed as a raised symbol beside the number or expression (e.g. 3 in 23 = 2 × 2 × 2).

Answer:

35/26 = 1.346153846

Step-by-step explanation:

the answer is D no solution

Answer:

Isolate the variable by dividing each side by factors that don't contain the variable.

Thus, the answer is D

Step-by-step explanation:

Answer:

48.01

Step-by-step explanation:

5(7)+4= 39

4(7)=28

39²+ 28²= 2305

√2305 = 48.01

Answer: it’s x^3-5x^2+15x-88+390/x+5!

Step-by-step explanation:

9514 1404 393

Answer:

  B.  h(x) = (x -4)² -1

Step-by-step explanation:

The translation moved the vertex from (0, 0) to (4, -1). The vertex form equation is ...

  h(x) = (x -h)² +k . . . . . quadratic with vertex (h, k)

Filling in the values of the vertex, we get ...

  h(x) = (x -4)² -1

Answer:

YAY

Step-by-step explanation:

Answer:

ayyy im late.. but anyway soo

Answer:

0.25

Step-by-step explanation:

Answer:

0.25 ...........................

Answer:

Different slope of 3

Step-by-step explanation:

Just did it

The equation of the dilated line is y = (3/5)x + (33/5), and it passes through the point (0,7).

To dilate the line y = 3x + 5 by a factor of 1/5 with (0,7) as the center of dilation, we can follow these steps:

Shift the line so that the center of dilation is at the origin. To do this, we subtract 7 from the y-intercept of the original line, giving us y = 3x - 2.

Apply the dilation factor to the line. To do this, we multiply the coordinates of each point on the line by 1/5. This gives us the new equation:

y = (3/5)x - (2/5)

Shift the line back to its original position. To do this, we add 7 to the y-intercept of the dilated line, giving us the final equation:

y = (3/5)x + (33/5)

Therefore, the equation of the dilated line is y = (3/5)x + (33/5), and it passes through the point (0,7).

To know more about dilation follow

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#SPJ2

6(3+2)

Step-by-step explanation:

that xas factor of 18+12

Answer:

30:)

Step-by-step explanation:

I think it's 30!!!!!

Answer:

[tex]A = 89.1327[/tex]

Step-by-step explanation:

1. Approach

To solve this problem, one must divide the figure up into two smaller figures. Calculate the areas of these smaller figures, and then finally, add up the result. The given figure can be divided into a square and a semi-circle. One can solve for the area of the square using the formula ([tex]length*width=area[/tex]). One can solve for the area of the semicircle by solving for the area of the circle, and then dividing it by (2).

2. Solve for the area of the square

This is the easier part, all one has to do is multiply the length of the square by the width;

[tex]length * width = area\\\\8 * 8 = area\\\\64 = area[/tex]

3. Solve for the area of the semi-circle

The formula for the area of a circle is;

[tex](pi)r^2=A[/tex]

Where coefficient ([tex]pi[/tex]) represent the values ([tex]3.1415...[/tex]), parameter ([tex]r[/tex]) represent the radius of the circle, and ([tex]A[/tex]) represents the area.

In the problem, one is given the diameter of the semicircle. The diameter is the largest cord (a line that is drawn in a circle) in the circle, this cord will pass through the center of the circle. The radius is the distance from the center of the circle to the outer edge of the circle. The radius, by its definition will always be half of the diameter. It is given that the diameter of the given circle is ([tex]8[/tex]), therefore the radius is ([tex]4[/tex]), because ([tex]8[/tex]÷[tex]2=4[/tex]).

Substitute in the values and solve;

[tex](pi)(4)^2 = A\\\\3.1415*(16)=A\\\\50.2655=A[/tex]

Don't forget to divide this in half, because the given figure is a semi-circle, not a circle;

[tex]25.1327[/tex]

4. Putting it together

Now add the value for the area of the semi-circle, with the value for the area of the square;

[tex]square + semi-circle = Total\ area\\\\64 + 25.1327 = Total\ area\\\\89.1327 = Total\ area[/tex]

there are 160 plastic cubes that can fit into the box.

Step-by-step explanation:

brainlist plz

Answer:

27

Step-by-step explanation:

I took the same test

Answer:

Step-by-step explanation:

Question 8

Let the equation of a line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,

y = mx + b

Here, m = slope and y-intercept = b

Since, m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

For two points (1, 4) and (5, 8),

m = [tex]\frac{8-4}{5-1}[/tex]

m = 1

Equation will be,

y = (1)x + b

y = x + b

Since, this line passes through (1, 4),

4 = 1 + b

b = 3

Therefore, equation of the line will be,

y = x + 3

Question 9

Let the equation is y = mx + b

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

For two points (2, 10) and (6, 4)

m = [tex]\frac{10-4}{2-6}[/tex]

m = [tex]-\frac{3}{2}[/tex]

By substituting the value of 'm' in the equation,

y = [tex]-\frac{3}{2}x+b[/tex]

Since, this line passes through (2, 10)

10 = [tex]-\frac{3}{2}(2)+b[/tex]

b = 10 + 2

b = 12

Therefore, equation of the line will be,

[tex]y=-\frac{3}{2}x+12[/tex]

Answer: a

Step-by-step explanation:

did the test

Answer:

34

=

x

+

y

34

−

x

=

y

565

=

10

x

+

25

y

Substitute the first equation

565

=

10

x

+

25

(

34

−

x

)

565

=

10

x

+

850

−

25

x

15

x

=

285

x

=

19 dimes

So,

34

−

19

=

15 quarters

Step-by-step explanation:

19 quarters is the answer.

Answer:

62 inches

Step-by-step explanation:

58 + 4 = 62 inches