In 7 years, Tom will be half as old as Patty. Using P to represent Patty’s age now, write an expression for Tom’s age in 7 years.

Answer:

The speed from A to B is 40 km/h.

Step-by-step explanation:

Distance from A to B = 40 km

Distance from B to C = 30 km

Speed from A to B is v km/h

Speed fro B to C is v + 5 .

total time, t = 2 hours

Stopping time at B = 20 minutes

Let the time from A to B is t'.

[tex]t'=\frac{40}{v}[/tex]

Let the time from B to C is t''.

[tex]t''= \frac{30}{v+5}[/tex]

The total time is

[tex]\frac{40}{v}+\frac{30}{v+5}+\frac{20}{60}=2\\\\\frac{40 v + 200 + 30 v}{v^2 + 5 v}=\frac{10}{6}\\\\420 v + 1200 = 10 v^2 + 50 v\\\\10 v^2 -370 v - 1200 = 0 \\\\v^2 - 37v - 120 = 0 \\\\v^2 - 40 v + 3 v - 120 = 0 \\\\v(v - 40) + 3 (v - 40) = 0\\\\(v - 4)(v + 3) = 0\\\\v = 40 km/h or - 3 km/h[/tex]

Speed cannot be negative so the speed from A to B is 450 km/h.

Answer:

unbiased

Step-by-step explanation:

it would be biased if you lets say survey the history club kids

Answer:

57.5°

Step-by-step explanation:

For triangle ABC C = 90 Side AC = 13.5 Side BC = 8.6 Find the measure of angle B​

We solve using the Trigonometric function of Tangent

tan θ = Opposite/Adjacent

θ = Angle B

Opposite = Side AC 13.5

Adjacent = Side BC = 8.6

Hence:

tan θ = 13.5/8.6

θ = arc tan (13.5/8.6)

θ = 57.501354056°

Approximately = 57.5°

Therefore, Angle B = 57.5°

Answer:

a = x² + 11x + 30

Step-by-step explanation:

a = (x + 5)(x + 6)

multiply each term in the first set of parenthesis by each term in the second

a = x(x + 6) + 5(x + 6)

a = (x² + 6x) + (5x + 30)

combine like terms

a = x² + 11x + 30

Answer:

[tex]b. \: \: 32[/tex]

Step-by-step explanation:

[tex]4(x - 2)[/tex]

[tex]4(10 - 2)[/tex]

[tex]4(8)[/tex]

[tex]32[/tex]

Answer:

Parallelogram

Result

Area = b × h

= 5.5 × 11

Answer:

i think A

Step-by-step explanation:

sorry if im wrong

Answer:

1, 1, [tex]\sqrt{2}[/tex]

Step-by-step explanation:

using pythagorean theorem:

1² + 1² = [tex]\sqrt{2}[/tex]²

1 + 1 = 2

2 = 2

==========================================

Work Shown:

(tangent)^2 = (whole secant)*(external secant)

(TU)^2 = (RT)*(ST)

(TU)^2 = (RS+ST)*(ST)

(TU)^2 = (8+4)*(4)

(TU)^2 = 48

TU = sqrt(48)

TU = 6.928203

TU = 6.9

For more info, you can search out "secant tangent chord", or something similar, and you should get to a page that describes the formula of what's going on here. This should match up fairly similarly to what lesson 3.09 is talking about.

Answer: 9.8

TU^2= TS x TR

TU^2= 8 x 12

TU= sqrt(96) = 9.79

Answer:

True

Step-by-step explanation:

I have to write more but its true

Answer:

$1.62

Step-by-step explanation:

Answer:

Median = 44

Step-by-step explanation:

Arrange the data in ascending order:

36, 37, 40, 43, 44, 49, 50 , 51, 56.

Choose the number in the middle.

Median = 44

Answer:

64cm² I think :) if u get it wrong dont blame it on me.

Answer:

64 cm^2

Step-by-step explanation:

The area of a square can be calculated by A = s^2 (Area = side squared aka the side multiplied by itself)

A = s^2

= 8^2 (8 x 8)

= 64 cm^2

Answer:

There is the graph of money made to cars sold

The Graph is provided in the below image.

Slope and y-intercept are used to graph an equation in the following ways:

To solve the question we follow the steps in the given instructions.

Learn more about graphs here-

brainly.com/question/16608196

#SPJ2

Answer:

x = 4

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define Systems

7x + y = 14

-2x - y = 6

Step 2: Solve for x

Elimination

Answer:

B and E

Step-by-step explanation:

3^-8/3^-4 = 1/81 or .01234567...

I suggest that if you're having difficulty with a question like this again you go through all the answers individually so you can see what they equal! This method can really help in tests or where you can't get help.

3^-12 = 1/531441 <- not the answer

3^-4 = 1/81 <- answer!

3^2 = 9

1/3^2 = 1/9

1/3^4 = 1/81

1/3^12 = 1/531441

its also good to remember

3^-8/3^-4 would mean -8+4 = 3^-4 which would help you get your first answer.

Hope this helps!

[tex]B. \: {3}^{ - 4} \:✅\\ \\ E. \: \: \frac{1}{ {3}^{4} }\:✅ [/tex]

Step-by-step explanation:

[tex] \frac{ {3}^{ - 8} }{ {3}^{ - 4} } \\ \\ we \: know \: that \: \: \: \frac{ {a}^{m} }{ {a}^{n} } \: = \: {a}^{m - n} \\ \\= {3}^{ - 8 - ( - 4)} \\ \\ = {3}^{ - 8 + 4} \: ( \: ∵\: - \times - = + ) \\ \\ = {3}^{ - 4} \\ \\ ( \: or \: ) \\ \\= \frac{1}{ {3}^{4} } \\ \\( \: ∵\: {a}^{ - m} = \frac{1}{ {a}^{m} } \: ) \\\: [/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}[/tex]

Answer:

The first number between 100 & 300 divisible by 13 is 104

Step-by-step explanation:

Answer:

52

Step-by-step explanation:

13 divide 1/4 is the equivilent to 13 x 4

Answer:

52

Step-by-step explanation:

13/(1/4)

when a fraction is in the denominator you inverse the fraction and multiple by the numerator

so it would be 13*(4/1) = 13*4 = 52

Answer:

100 meters per hour.

Step-by-step explanation:

7,200 seconds / 60 = 120 minutes

120 minutes / 60 = 2 hours

200 meters / 2 hours = 100 meters

Since the squirrel moved 200 meters in 2 hours, the squirrel moved 100 metres per hour.

⭐Answer:

✰According to angle property between tangent and secant✰

[tex](4x-8)=1/2(80)[/tex]

[tex]4x-8=40[/tex]

[tex]4x=40+8[/tex]

[tex]4x=48[/tex]

[tex]x=48/4[/tex]

[tex]x=12[/tex]

〖D) 12〗

☁☁☁☁☁☁☁

hope it helps...

The value of x is 12

Circle is the collection of all points in a plane at a constant distance from a fixed point. The fixed point is known as the centre, and the constant distance is the circle’s radius. A line that intersects a circle in two distinct points is called a secant to the circle.

A line meeting a circle only in one point is called a tangent to the circle at that point. In this article, we will talk about the relative position of the circle and a line in the same plane. We will also examine the existence of tangents to a circle and their properties.

Using angle property between tangent and secant

(4x - 8) = 1/2*80

4x- 8 = 40

4x= 48

x= 12

Learn more about tangent here:

https://brainly.com/question/19064965

#SPJ5

Answer:

[tex]y = x + 7[/tex]

Step-by-step explanation:

[tex]y = gx + c[/tex]

[tex]gradient = \frac{y}{x} = \frac{1}{1} = 1[/tex]

[tex]where \: the \: line \: meet \: the \: y-axis = 7[/tex]

Answer:

B and C. if you got them wrong let me know :3

Answer:

18 ft

Step-by-step explanation:

We are to determine the base given the hypotenuse and length.

The Pythagoras theorem : a² + b² = c²

where a = length

b = base

c =  hypotenuse

30²  = 24² + b²

900 = 576 + b²

b² = 900 - 576

b²  = 324

square root = 18

Answer:

9

Step-by-step explanation:

bcs 3 is the mode you do 3+3

Answer:

3

Step-by-step explanation:

3 is the model value of the given data because it repeats maximum number of time.

Answer:

y

=

3

2

x

Rewrite in slope-intercept form.

Tap for more steps...

y

=

3

2

x

Use the slope-intercept form to find the slope and y-intercept.

Tap for more steps...

Slope:  

3

2

y-intercept:  

(

0

,

0

)

Any line can be graphed using two points. Select two  

x

values, and plug them into the equation to find the corresponding  

y

values.

Tap for more steps...

x

y

0

0

2

3

Graph the line using the slope and the y-intercept, or the points.

Slope:  

3

2

y-intercept:  

(

0

,

0

)

x

y

0

0

2

3

image of graph

Step-by-step explanation:

Answer:

2 1/2

Step-by-step explanation:

divide in 5 then divide half in 5 also

Answer:

2,5

Step-by-step explanation:

The length of a piece of wood is:

12 ½ : 5 = 5/2 = 2,5

Answer:

F(x)=x^2 and G(x)=7x^2-2x-1

Step-by-step explanation:

I have to fill in characters for the step by step explanation so have fun reading the following Junk. KEEp wasting your time Dummy with

Answer:

Step-by-step explanation:

If the minor arc is 133, the major arc is going to be

Major arc = 360 - Minor arc

Minor arc = 133

Major arc = 360 - 133

Major arc = 227

Does this make sense? It should. If you put a line from C to A then extend it until it hit the circumference, you would get a diameter which is a 180o angle. The major arc through D is greater than 180. So 227 is a reasonable answer.