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Johanna has a tricycle. The following graph shows the distance she pedals over time.

Answer:

96

Step-by-step

the distance from the amusement to jack's home is x (mile, x>0)

jack's family went to the amusement park at: 9 + x/60

On the way home, traffic was bad and they drove 20 mph slower than in the morning⇒ they drove: 60 - 20 = 40 mph

they left the amusement park at: 20 - x/40

have the following equation:

(20 - x/40) - (9+ x/60) = 7

⇔ 4 = x/40 + x/60

⇔ x = 96

so the distance from the amusement park to jack's home is 96 mile

Distance of amusement park from Jack's home = 96 miles

She drove at a speed of 60 mph to get to the amusement park.

Time = distance/speed

Time; t1 = x/60 hours

Thus; time; t3 = x/40

Thus;

t1 + t2 + t3 = 11

Plugging in the relevant values;

(x/60) + 7 + (x/40) = 11

Rearrange to get;

(x/60) + (x/40) = 11 - 7

(x/60) + (x/40) = 4

Multiply through by 120 to get

2x + 3x = 480

5x = 480

x = 480/5

x = 96 miles

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Answer:

[tex] h \le 30 [/tex]

Step-by-step explanation:

Let h = number of hours of work.

At most 30 hours means 30 hours or less.

[tex] h \le 30 [/tex]

Answer:

2 /-9

Step-by-step explanation:

Answer:

Step-by-step explanation:

2x - 8 = 10

Bringing like terms on one side

2x = 10 + 8

2x = 18

x = 18/2 = 9

Answer:

x= 9 balance the equation

Step-by-step explanation:

2x-8=10 -------- equation (1)

2x=10+8 -------- equation (2)

2x=18

x = 9

let's put x = 9 into equation(2)

2(9) =10+8

18=18, x= 9 balance the equation

Answer:

e = 6

Step-by-step explanation:

Step 1: Write equation

-2(8 - e) = 2 - e

Step 2: Solve for e

Step 3: Check

Plug in e to verify it's a solution.

-2(8 - 6) = 2 - 6

-2(2) = -4

-4 = -4

Answer:

1. yes

2.1,406

Step-by-step explanation:

Answer:

1. yes

2.1,406

Step-by-step explanation:

I had this question :)

Answer:

Step-by-step explanation:

The midpoint M of two endpoints of a line segment can be found by using the formula

[tex]M = ( \frac{x1 + x2}{2} , \: \frac{y1 + y2}{2} )\\[/tex]

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

S(-8,-6) and T(4, 12)

We have

[tex]M = ( \frac{ - 8 + 4}{2} \: , \: \frac{ - 6 + 12}{2} ) \\ = ( - \frac{4}{2} \: , \: \frac{6}{2} )[/tex]

We have the final answer as

Hope this helps you

Answer:

5(-4xp+3m-7p)

Step-by-step explanation:

If the question is to factor the expression as much as possible, that's the answer.

Answer:

The answer is B

Answer:

y=0

Step-by-step explanation:

Answer: y = 30

hope it helps!

Step-by-step explanation:

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

7x - 21 = 4x + 20

3x = 41

x = 13.67

Let's solve your equation step-by-step

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

Step 1:Simplify both side of the equation

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

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

7x+-21=4x+20

7x-21=4x+20

Step 2:Subtract 4x from both sides

7x-21-4x=4x+20-4x

3x-21=20

Step 3: Add 21 to both sides

3x-21+21=20+21

3x=41

Step 4: Divide both sides by 3

3x/3 =41/3

Answer: x=41/3

Answer:

hope that helps

Step-by-step explanation:

- If graphed, Class B would look more like the red graph below and Class A would look more like the blue one.

- Based on the data, a score of 8 is more likely in Class B than Class A.

- Class A has a greater spread.

Answer:

[tex]x= 6+ \sqrt {6}[/tex]

Step-by-step explanation:

[tex]-\sqrt {2x-5}+x=5\\-\sqrt {2x-5}=-x+5\\\\\frac {-\sqrt {2x-5}}{-1} = \frac {-x+5}{-1}\\\\\sqrt {2x-5}=x-5\\2x-5=(x-5)^2\\2x-5=x^2-10x+25\\2x-5-(x^2-10x+25)=x^2-10x+25-(x^2-10x+25)\\-x^2+12x-30=0\\\\x=\frac {-12(+/-)\sqrt {12^2-4(-1)(-30)}}{2(-1)}\\\\x=6+\sqrt {6}[/tex]

i would say its the first one

Answer:

24 miles

Step-by-step explanation:

Let the number of miles = x.

U-Haul:

1.89x + 20.95

Public Storage:

1.19x + 37.95

Set the costs equal and solve for the mileage, x.

1.89x + 20.95 = 1.19x + 37.95

0.7x = 17

x = 24.29

Answer: 24 miles

Answer:

so since it takes about 3 min each page, it would time about 798 which is 13.3 hours, or rounded, 13

Step-by-step explanation:

Answer:

931 minutes is how long it should take.

In this figure ∠7 and ∠3 are alternate interior angles . Alternate interior angles in two parallel lines with a transversal will always be equal . Since ∠7 is congruent to ∠3 , we can say that line m and line n are parallel lines .

Therefore :-

The lines are parallel because the alternate interior angles in them are congruent .

Given :-

m∠3 = ( 15x + 22 )°

Then , m∠3 will be equal to :-

x = 8

= 15 × 8 + 22

= 120 + 22

m∠3 = 142°

m∠1 = ( 19x - 10 )°

= 19 × 8 - 10

= 152 - 10

m∠1 = 142°

angle 1 and angle 3 are corresponding angles , which means their value will be equal if they are present on two parallel lines with a transversal . As their values are equal we can say that line m and line n are parallel .

Therefore :-

Yes , the lines are parallel because the corresponding angles in them are equal .

∠7 and ∠6 are interior angles on the same side of transversal , which means their angle su, will be equal to 180° . But since their values are equal these two lines are not parallel .

Therefore :-

∠7 and ∠6 are interior angles on the same side of transversal , so their sum will be equal to 180° . But since that is not the case in the lines shown above , those lines are not parallel lines .

Given :-

m∠2 = ( 5x + 3 )°

x = 14

= 5 × 14 + 3

= 60 + 3

= 63°

m∠3 = ( 8x - 5 )°

= 8 × 14 - 5

= 112 - 5

= 107°

We know that the sum of angle 2 and angle 3 will be equal to 180° if they are on two parallel lines as they are interior angles on the same side of transversal .

As :-

∠2 + ∠3 ≠ 180°

63° + 107° is not equal to 180° ,

Therefore :-

These lines are not parallel as the sum of their interior angles on the same side of transversal is not equal to 180°.

Given :-

m∠8 = ( 6x - 1 )°

x = 9

= 6 × 9 - 1

= 54 - 1

= 53°

m∠4 = ( 5x + 3 )°

= 5 × 9 + 3

= 45 + 3

= 48°

angle 8 and angle 2 are vertically opposite angles , which means m∠8 = m∠2 .

m∠2 = 53°

As ∠2 and ∠4 are corresponding angles their value will be equal , if they are on parallel lines .

Since angle 2 , angle 8 and angle 4 are not equal these lines are not parallel lines .

Therefore :-

The lines are not parallel as their corresponding angles are not equal .

Angle 5 and angle 7 are corresponding angles they will be congruent when on parallel lines .

As , m∠5 ≅ m∠7 these lines are parallel .

Therefore :-

These lines are parallel lines as their corresponding angles are equal .

Angle 1 and angle 7 are vertically opposite angles , which means their angle measure will be equal . As angle 7 and angle 5 are corresponding angles their angle measure will also be equal .

Since m∠5 ≅ m∠7 , these lines are parallel .

Therefore :-

These lines are parallel lines as their corresponding angles are equal .

Here , the value of x is the same .

Which means :-

m∠2 = x + 15° is greater than m∠6 = x + 10°

Angle 2 and angle 6 are alternate interior angles , their values should be equal . But since their values are not equal , the lines on which they reside are not parallel .

Therefore :-

These lines are not parallel as their alternate interior angles are not equal .

It is given that angle 1 and angle 3 are supplementary angles . It is also clear that angle 1 and angle 2 are a linear pair , which means their angle sum will be equal to 180° . Also , angle 3 and angle 2 should be equal since they are the supplement of the same angle . Angle 2 and angle 3 are also corresponding angles . Since corresponding angles in two lines with a transversal will be equal and in these two lines the corresponding angles are equal , these lines are parallel lines.

Therefore , JK // HI as their corresponding angles are equal .

d) 135°

x ; y =supplementary =>

=> x + y = 180

x = 3y

replace x

3y + y = 180

4y = 180

y = 180 : 4

y = 45°

x = 3y

x = 3×45°

x = 135°

Good luck !

Answer:

D

Step-by-step explanation:

Supplementary angle: sum equals 180 degrees cannot be a straight line(180 degrees).

Y.3 + X = 180

A.

45/3 = 15

45 + 15 = 60

B.

60/3 = 20

60 + 20 = 80

C.

120/3 = 40

120 + 40 = 160

D.

135/3 = 45

135 + 45 = 180

Answer:

1.4-62=-60.6

Step-by-step explanation:

Ask me if you need any other help!

Answer:

x= -2

Step-by-step explanation:

6x+8=x-2

6x-x= -2-8

5x= -10

x= -10/5

x= -2

Answer: s=-4

Simplify both sides of the equation and isolate the variable.

Answer:

No

Step-by-step explanation:

I solved it and it didn't get 1 for any of them

Answer:

Yes.

If they do, their intersection is a line.

Answer:

yes

Step-by-step explanation:

Answer:

X=3

Step-by-step explanation:

6x=27-9

6x=18/6

x=3

Answer:

x=3

Step-by-step explanation:

Alrighty lets begin.

First, subtract 9 from 9 and from 27. Your equation will look like:

6x=18

Now, divide 6 from 6x and from 18. It would look like:

6x/6 = 18/6

Then cancel out the 6's.

And finally, simplify 18/6 and you get 3.

Your answer is x = 3

<<Please mark Brainliest if possible ;) have a nice day!>>

Answer:36

Step-by-step explanation:

[tex] - 16x = - 80[/tex]

Divided sides by -16

[tex] \frac{ - 16}{ - 16}x = \frac{ - 80}{ - 16} \\ [/tex]

[tex]x = 5[/tex]

And we're done...♥️♥️♥️♥️♥️

Answer:

Expression.

Step-by-step explanation:An expression containing variables, numbers, and operation symbols is called an algebraic expression. is an example of an algebraic expression. Each expression is made up of terms. A term can be a signed number, a variable, or a constant multiplied by a variable or variables.

An expression is a number, a variable, or a combination of numbers and variables and operation symbols.

An expression is combination of variables, numbers and operators.

An expression is a number, a variable, or a combination of numbers and variables and operation symbols.

For example 2x+3y-4

In the given expression x and y are the variables.

plus and minus are the operation symbols.

4 is a number and 2 and 3 are the coefficients of a variable.

If the expression has an equal sign then it becomes the equation.

Hence, an expression is a number, a variable, or a combination of numbers and variables and operation symbols.

To learn more on Expressions click:

https://brainly.com/question/14083225

#SPJ2

Answer:

See below

Step-by-step explanation:

Quadratic function is in general form of:

The function has a minimum if a > 0 and maximum if a < 0

The minimum or maximum point is a vertex of the graph

When b = 0, the min or max point equals to value of c.

f(-2) = 2*(-2)^2 + 8(-2) + 7 = 8 - 16 + 7 = - 1

g(3) = -3*3^2 + 18*3 - 5 = -27 + 54 - 5 = 22

f(-2) = 3/2*(-2)^2 + 6(-2) + 4 = - 6 - 12 + 4 = - 14