HELP ASAP PLS!!!

Marsha recorded the time it took six children of different ages to run one lap around the track. Using the line of best fit, what is closest to the length of time it should take Marsha's 8 year old son to run one lap? Write the equation that represents the situation in slope-intercept form.

Answer:

x=4

Step-by-step explanation:

5x-2.5=17.5

5x=17.5+2.5

5x=20

x=20/5

x=4

The solution of the given equation is x=4

An equation represents equality of two or more mathematical expression.

A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.

Solutions to an equation are those values of the variables involved in that equation for which the equation is true.

We are given the equation as;

5x-2.5=17.5

Solving for x;

5x=17.5+2.5

5x=20

x=20/5

x=4

Learn more about solving equations here:

https://brainly.com/question/18015090

#SPJ2

Answer:

51

Step-by-step explanation:

Answer:

20.6 cm (im pretty sure lol)

Step-by-step explanation:

sine rule:

(ab = x)

13.5/sin41 = x/sin90

13.5sin90/sin41 = x

x = 20.57741667

ab = 20.6cm

Answer:

0, 2, 154, 85,500

Step-by-step explanation:

these are the anwsers to your question

Answer:

solution: x=6

Step-by-step explanation:

8(2x-14)+13=4x-27

next, distribute 8 through the parentheses

16x-112+13=4x-27

calculate the sum

16x-99=4x-27

move the variable to the left-hand side and change it's sign

16x-4x-99=-27

move the constant to the right-hand side and change it's sign

16x-4x=-27+99

collect like terms

12x= -27+99

calculate the sum

12x=72

divide both sides of the equation by 12

x=6

final solution: x=6

Answer:

100

20 = 50

50 x2

Step-by-step explanation:

Answer:

100

Step-by-step explanation:

250 books × 40%

= 100

other way to solve it is

250 × 0.40

= 100 fiction books

Answer:

a volleyball is $16.5

Step-by-step explanation:

6b+2v= 114

v=b-3

6b+2(b-3)= 114

6b + 2b - 6

8b - 6 = 114

8b = 108

b= 13.5

substitute b in

6(13.5) + 2v = 114

81 + 2v = 114

2v = 33

v= 16.5

Answer:

V≈166.67

Step-by-step explanation:

V=ABh

3=100·5

3≈166.66667

Answer:

166 2/3

Step-by-step explanation:

The formula to solve for the volume of a pyramid is lwh/3. Plug those numbers in and you'll get 10*10*5=500/3 = 166 2/3.

Answer:

a = -4

Step-by-step explanation:

[tex] (\dfrac{1}{9})^{a + 1} = 81^{a + 1} \cdot 27^{2 - a} [/tex]

[tex] (3^{-2})^{a + 1} = (3^4)^{a + 1} \cdot (3^3)^{2 - a} [/tex]

[tex] 3^{-2a - 2} = 3^{4a + 4} \cdot 3^{6 - 3a} [/tex]

[tex] 3^{-2a - 2} = 3^{4a + 4 + 6 - 3a} [/tex]

[tex] 3^{-2a - 2} = 3^{a + 10} [/tex]

[tex] -2a - 2 = a + 10 [/tex]

[tex] -3a = 12 [/tex]

[tex] a = -4 [/tex]

Answer:

D is the correct one

Step-by-step explanation:

The whole angle equals 72 and the partial angle equals 45

You put

72-45= 27

So 3x=27

Then you solve this equation

3x = 27

x = 27/3

x = 9

Step-by-step explanation:

Answer:

x = 10, 3x = 30

Step-by-step explanation:

3x equals thirty, they are the exact same angles

Answer:

Y axis

Step-by-step explanation:

Dont have a explanation

Answer: -9

Step-by-step explanation:

KH = x -1 and Eh =2x-12

2x-12 =10-1=9

Answer:

9/14

Step-by-step explanation:

sorry if im wrong...

Answer:

[tex]\displaystyle x = 3 \pm i\sqrt{3}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Algebra II

Step-by-step explanation:

Step 1: Define

x² - 6x + 12 = 0

Step 2: Identify Variables

Compare the quadratic to standard form.

x² - 6x + 12 = 0 ↔ ax² + bx + c = 0

a = 1, b = -6, c = 12

Step 3: Find Roots

Answer:

60%

Step-by-step explanation:

3/5 likely, because there are five hours when the repairman could show up.

Three of them will have the homeowner, and 2 would not. 3/5=0.6=60%

Answer:

for da other guy to get brainliest

Step-by-step explanation:

Answer:

Since 15 mins are 90 degrees

10 mins are 60 degrees

Answer:

(a) and (f)

Step-by-step explanation:

Given

[tex]y = 5x + 12[/tex]

See attachment for table and options

First, we calculate the slope of the table

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

Using:

[tex](x_1,y_1) = (2,29)[/tex]

[tex](x_1,y_1) = (4,53)\\[/tex]

So, we have:

[tex]m = \frac{53- 29}{4 - 2}[/tex]

[tex]m = \frac{24}{2}[/tex]

[tex]m = 12[/tex]

The equation is then calculated using:

[tex]y = m(x -x_1) + y_1[/tex]

This gives:

[tex]y = 12*(x -2) + 29[/tex]

[tex]y = 12x -24 + 29[/tex]

[tex]y = 12x+5[/tex]

So, we have:

[tex]y = 5x + 12[/tex] --- The given equation

and

[tex]y = 12x+5[/tex] --- The equation of the table

An equation is represented as:

[tex]y = mx + b[/tex]

Where:

m = slope or rate of change

b = y intercept

So, for the given equation: [tex]y = 5x + 12[/tex]

Rate of change = 5

y intercept = 12

For the table: [tex]y = 12x+5[/tex]

Rate of change = 12

y intercept = 5

In conclusion:

(a) [tex]y = 12x+5[/tex] has the greater rate of change:

and

(f) [tex]y = 5x + 12[/tex] has the greater y intercept

Given:

A line segment AB.

A point is [tex]\dfrac{3}{10}[/tex] of the way from A to B.

To find:

The coordinates of that point.

Solution:

Section formula: If a point divide a line segment in m:n, then

[tex]Point=\left(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n}\right)[/tex]

From the given figure, it is clear that the two end points of the line segment are A(-4,-5) and B(12,4).

Let the unknown point be P. The point is [tex]\dfrac{3}{10}[/tex] of the way from A to B. It means,

[tex]\dfrac{AP}{AB}=\dfrac{3}{10}[/tex]

Let AP and AB are 3x and 10x, then

[tex]\dfrac{AP}{PB}=\dfrac{AP}{AB-AP}[/tex]

[tex]\dfrac{AP}{PB}=\dfrac{3x}{10x-3x}[/tex]

[tex]\dfrac{AP}{PB}=\dfrac{3x}{7x}[/tex]

[tex]\dfrac{AP}{PB}=\dfrac{3}{7}[/tex]

It means, point P divided the line segment in 3:7.

Using section formula, we get

[tex]P=\left(\dfrac{3(12)+7(-4)}{3+7},\dfrac{3(4)+7(-5)}{3+7}\right)[/tex]

[tex]P=\left(\dfrac{36-28}{10},\dfrac{12-35}{10}\right)[/tex]

[tex]P=\left(\dfrac{8}{10},\dfrac{-23}{10}\right)[/tex]

[tex]P=\left(0.8,-2.3\right)[/tex]

Therefore, the coordinates of the required point are (0.8, -2.3).

Answer:

A. [tex] 96\pi \: cu. \: units[/tex]

Step-by-step explanation:

Radius of cone (r) = 4 units

Height of cone (h) = 18 units

[tex]V_{cone} = \frac{1}{3} \pi {r}^{2}h \\ \\ = \frac{1}{3} \pi {(4)}^{2} \times 18 \\ \\ = \pi {(4)}^{2} \times 6 \\ \\ = 16\pi \times 6 \\ \\ V_{cone} = 96\pi \: {units}^{3} [/tex]

Answer:

1/8 hope this help :)

Answer:

1/8 or 0.125

Step-by-step explanation: Key || · equals multiplication

3/4  -  5/8  =  3 · 2/4 · 2  -  5/8  =  6/8  -  5/8  =  6 - 5/8 = 1/8

Answer and Step-by-step explanation:

Angle 1 and angle 2 combined equals 180.

So, to find angle 1, we subtract angle 2 from 180.

180 - 57 = 123

m∠1 = 123°

#teamtrees #WAP (Water And Plant)

Answer:

answer is 127 try it and ark me as brainliest

Step-by-step explanation:

180-57

123degrees

Answer:

Tell whether the ordered pair is a solution to the system of linear equations. 1 point

(-2,-1); 2x – 4y= -8

6x + 5y = -7

No

Answer:

[tex]V_{0} = e^{-rt}[/tex] ∑ [tex]uPdx^{(1-p)} *S_{o}[/tex]  

Step-by-step explanation:

The Payoff to the holder at maturity T = X1{ST > K}, where X = pre-specified cash sum.

Current value of asset price = Sn  after evolvement of asset price in reference to binomial model

Hence at every  step value changes to SnU and Snd

where ; d < e^rΔT < u  and Δ T = length of each step

u = ups

d = downs

Determine the time zero price of the above option

First we will find the price after each period

After one period :

when the price goes up, Sn + ΔT = Su

when the price goes down, Sn + ΔT = Sd

After  period two

For Su

when price goes up, Sn +2ΔT = Su2

when price goes down, Sn +2ΔT = Sud

For Sd

when  price goes down, Sn +2ΔT = Sd2

when price goes up, Sn +2ΔT = Sdu

To get the time zero price we will have to apply the same procedure in reverse position den get the sum pf all ups and downs which is

sum of all ups and downs = [tex]e^{-rT}[/tex]∑ [tex]uPd^{(1-p)}[/tex]

[tex]V_{0} = e^{-rt}[/tex] ∑ [tex]uPdx^{(1-p)} *S_{o}[/tex]  

Answer:

no

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

Answer:

Part A:  No Solution

Part B:  Distributive Property

Step-by-step explanation:

4x + 2x - 6 = 6x - 11

6x - 6 = 6x - 11

-6 ≠ -11

No Solution

Answer:

Part A. Couldn't find a variable to solve for.

This equation is invalid, the left and right sides are not equal, therefore there is no solution.

Part B. Distributive Property

Step-by-step explanation:

Simplifying

4x + 2(x + -3) = 4x + 2x + -11

Reorder the terms:

4x + 2(-3 + x) = 4x + 2x + -11

4x + (-3 * 2 + x * 2) = 4x + 2x + -11

4x + (-6 + 2x) = 4x + 2x + -11

Reorder the terms:

-6 + 4x + 2x = 4x + 2x + -11

Combine like terms: 4x + 2x = 6x

-6 + 6x = 4x + 2x + -11

Reorder the terms:

-6 + 6x = -11 + 4x + 2x

Combine like terms: 4x + 2x = 6x

-6 + 6x = -11 + 6x

Add '-6x' to each side of the equation.

-6 + 6x + -6x = -11 + 6x + -6x

Combine like terms: 6x + -6x = 0

-6 + 0 = -11 + 6x + -6x

-6 = -11 + 6x + -6x

Combine like terms: 6x + -6x = 0

-6 = -11 + 0

-6 = -11

Solving

-6 = -11

Couldn't find a variable to solve for.

This equation is invalid, the left and right sides are not equal, therefore there is no solution.