At Keller's Bike Rentals, it costs $36 to rent a bike for 7 hours.
How many hours of bike use does a customer get per dollar

Answer:

5.3

Step-by-step explanation:

Stare at the triangle for a bit. And try to add another one sharing the unmarked angle. You end up with an equilateral triangle. It means [tex]\sqrt7[/tex] is half the hypotenuse, At this point,

Step-by-step explanation:

the general point-slope form is

y - y1 = m(x - x1)

m is the slope.

x1 and y1 are the point coordinates.

so,

y - -1 = 4(x - 1)

and simplified

y + 1 = 4(x - 1)

Answer:

c) difficult

Step-by-step explanation:

1) w = 14/3

Steps:

1) Multiply the numbers

5w - 8/3 = 4w + 2

2) Add 8/3 to both sides of the equation

5w - 8/3 + 8/3  = 4w + 2 + 8/3

3) Simplify

A. Add the numbers

5w = 4w + 2 + 8/3

B. Add the numbers

5w = 4w + 14/3

4) Subtract 4w  from both sides of the equation

5w - 4w = 4w +14/3 - 4w

5) Simplify

A. Combine like terms

1w = 4w + 14/3 - 4w

B. Multiply by 1

w = 4w + 14/3 - 4w

C. Combine like terms

w = 14/3

2) ( x - 7 ) ( x + 7 )

Steps:

1) Use the sum-product pattern

x² + 7x - 7x - 49

2) Common factor from the two pairs

x (x + 7)  = 7 (x + 7)

3) Rewrite in factored form

(x-7) (x+7)

3) [tex]3x^{4} y^{\frac{3}{2} }[/tex]

Steps:

[tex]9^{\frac{1}{2} }( x^{8} )^{\frac{1}{2} (y^{3} )\frac{1}{2}[/tex]

Answer:

positive 260

Step-by-step explanation:

add the cash inflows

550+40+65+80 = 735

add the outflows

10+30+60+25+100+250 = 475

then substract the outflows from the inflows

735-475 = 260

So Andy's net cash flow is positive 260

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Andy’s net cash flow is $260.

Given that, during May, Andy had cash inflows of $550, $40, $65, and $80.

Subtraction is the process of taking away a number from another. It is a primary arithmetic operation that is denoted by a subtraction symbol (-) and is the method of calculating the difference between two numbers.

Total cash inflow

= 550+40+65+80

= $735

Total cash outflow

= 10+30+60+25+100+250

= $475

So, net cash flow =735-475

= $260

Therefore, Andy’s net cash flow is $260.

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Answer:

x=8 (one solution)

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

7(x−5)=x+13

(7)(x)+(7)(−5)=x+13(Distribute)

7x+−35=x+13

7x−35=x+13

Step 2: Subtract x from both sides.

7x−35−x=x+13−x

6x−35=13

Step 3: Add 35 to both sides.

6x−35+35=13+35

6x=48

Step 4: Divide both sides by 6.

x=8

Answer:

x = 8 (one solution)

Step-by-step explanation:

7x - 35 = x + 13

-x            -x

6x - 35 = 13

     +35   + 35

6x = 48

divided by six on both sides

x = 8

Answer:

C ( 2.8 x 13 = 0.7 x 52)

Step-by-step explanation:

2.8 x 13 = 36.4

0.7 x 52 = 36.4

36.4 = 36.4

Answer:

Answer : 36.4

Step-by-step explanation:

thanks pi sa points uwu

22 batches. 10/2 cups of red onions is 20 batches. 1/2 cups of red onions is 2 batches. 20 + 2 = 22.

The 33rd term of the arithmetic sequence, 7,10,13.... is: 103

Recall:

The sequence, 7,10,13,... is an arithmetic sequence because:

13 - 10 = 10 - 7 = 3

Therefore, to find the 33rd term, substitute a = 7, n = 33, and d = 3 into an = a + (n - 1)d.

[tex]a_{33[/tex] = 7 + (33 - 1)3

[tex]a_{33[/tex] = 7 + (32)3

[tex]a_{33[/tex] = 103.

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Answer:

1/2

Step-by-step explanation:

We have 2 points, (1,3) and (9,7). So, the slope of the line is (7-3)/(9-1)=4/8=1/2

Answer:

x = 48°

Step-by-step explanation:

The triangle on the left has 3 congruent sides and is equilateral with 3 congruent angles, each of 60°

The 3 angles on the base line sum to 180° , that is

60° + 54° + base = 180°

114° + base = 180° ( subtract 114° from both sides )

base = 66°

The triangle  on the right has 2 congruent sides and is isosceles with base angles congruent , both 66° , then

x = 180° - (66 + 66)° = 180° - 132° = 48°

Answer:

99 degrees

Step-by-step explanation:

Angle 3 and 4 added together is 180 degrees since it is a straight line.

if you know angle 3 is 81 degrees, then angle 4=180-81=99

Answer:

99 is the measure of angle 4

Step-by-step explanation:

Two parralel lines cut by a transversal.

This is all you gotta remember

Alternate interior angles (4 and 6, 3 and 5) are congruent (equal)

Altenrate exterior angles (1 and 7, 2 and 8) are congruent (equal)

Corresponding angles (2 and 6, 3 and 7, 1 and 5, 4 and 8) are congruent (equal)

Same side interior angles (3 and 6, 4 and 5) are supplementary (equal to 180 if added up)

Same side exterior angles, (2 and 7, 1 and 8) are supplementary (Equal to 180 if added up)

Same line, opposite transversal (4 and 3, 5 and 6, 8 and 7, 1 and 2) are also supplementary.

Answer:

The point-slope form is  

y

+

6

=

1

5

(

x

−

4

)

or  

y

+

5

=

1

5

(

x

−

9

)

, depending on which point you use. If you solve for  

y

to get the slope-intercept form, both equations will convert to  

y

=

1

5

x

−

34

5

Step-by-step explanation:

Step-by-step explanation:

what's the question ? it does not say.

I assume it is "how many packages of what size were sold ?"

x = number of small packages

y = number of medium packages sold

z = number of large packages sold

x + y + z = 9

7x + 12y + 15z = 86

y = 3z

these are the 3 equations we get out of the question.

we put the third equation into the other two :

x + 3z + z = x + 4z = 9

7x + 12×3z + 15z = 7x + 36z + 15z = 7x + 51z = 86

it of this first equation we get

x = -4z + 9

and putting that into the other equation :

7×(-4z + 9) + 51z = 86

-28z + 63 + 51z = 86

23z = 23

z = 1

y = 3z = 3×1 = 3

x = -4z + 9 = -4×1 + 9 = -4 + 9 = 5

so, 5 small, 3 medium and 1 large packages were sold.

Answer:

If you end up with the exact opposite of what you started with (that is, if f (–x) = –f (x), so all of the signs are switched), then the function is odd.

Step-by-step explanation:

Step-by-step explanation:

19x - 4 = 110 ( alternate Exterior angle )

→ 19x = 110 + 4 = 114

→ x = 114/19

→ x = 6

therefore, value of x is 6°.

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The height of the bottom of the hole after the second day is -35 11/12 feet

Given:

Day 1 height = -45 1/4 feet

Day 2 height = -45 1/4 + 9 1/3

= - 181/4 + 28/3

= (-543 + 112) / 12

= -431/12

= -35 11/12 feet

Therefore, the height of the bottom of the hole after the second day is -35 11/12 feet

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Answer: The answer is 4

Step-by-step explanation:  2 ( g + 5 ) − 2 ( g + 3 ) = 2 ( g + 5 ) − 2 ( g + 3 )

= 2g + 10 - 2g - 6

= 2g -2g + 10 - 6

= 0 + 4

= 4

Hope this helps!

Answer:

-5 is more positive than -6. SO bigger, I think means less negative, so -5.

Step-by-step explanation:

Answer:

-5

Step-by-step explanation:

On a number scale, -5 is bigger than -6 because it is less negative than -6. You can also think about it in context: if the temperature was -5 degrees it would be warmer than -6 degrees so is therefore bigger!

Hope this helps!

The average rate of change of the function is -59.4

The formula for calculating the rate of change of the function is expressed as:

[tex]f'(x)=\frac{f(b)-f(a)}{b-a}[/tex]

Given the function

[tex]f(x)=120(0.1)^x\\f(0) = 120(0.1)^0\\f(0)=120\\[/tex]

Get the value of f(2)

[tex]f(2)=120(0.1)^2\\f(2) = 120(0.1)^2\\f(2)=1.2\\[/tex]

Substitute into the formula to have:

[tex]f'(x)=\frac{1.2-120}{2-0}\\f'(x)=\frac{118.8}{2} \\f'(x)= -59.4[/tex]

Hence the average rate of change of the function is -59.4

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Answer:

(-1,-1) I think

Answer:

ABC = 113°

Step-by-step explanation:

If ABD is 70° and DBC is 43°

ABC is 70°+43° = 113°

Answer:

6/20. (simplified is 3/10)

Step-by-step explanation:

Step-by-step explanation:

we see f(x), which is |x|.

and we see g(x), which is clearly the same basic graph, it is just shifted 3 units down in y direction.

shifts are simply done by keeping the original function definition and then add it subtract a certain constant that then adapts every original functional value.

so, a shift down by 3 units is done by adding -3.

therefore, C is the correct answer (the original f(x) - 3).

3/4 = 0.75 inches

24 inches / 0.75 inches

= 32 books

The simplified form of the expression 7 ²/₅ = (2/3) x - 4 ¹/₂ for the value of x is 357/20 or 17.85.

An algebraic expression is consists of variables, numbers with various mathematical operations,

The given expression is,

7 ²/₅ = (2/3) x - 4 ¹/₂

Simplify the expression,

37/5 = (2/3)x - 9/2

37/5 + 9/2 = (2/3)x

(74 + 45) / 10 = (2/3)x

119 / 10 = (2/3)x

357/20 = x

x = 357 / 20

x = 17.85

The simplest form for the value of x, of the given expression, is 357 / 20.

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