A bike shop rents bikes for $4.50 per hour, plus a $7.50 insurance charge. For how many hours can Peter rent a bike if he has $30?

Answer:

A) 2

Step-by-step explanation:

Answer:

wHOLE number

Step-by-step explanation:

IT is a whole number

Answer:

a) on the way there, the speed = 50 m/hr

b) on the way back home, speed = 30 m/hr

Step-by-step explanation:

[tex]speed (s) = \frac{distance(d)}{time(t)} \\distance = speed\ \times\ time[/tex]

on the way to Disney land:

distance = d

speed = s

time = t = 6 hours

d = s × t

d = s × 6

d = 6s - - - - - (1)

On the way back:

speed decreased by 20m/hr

This means that s₂ = (s - 20)m/hr

time = t₂ = 10 hours

∴ d = s₂ × t₂

d = (s - 20) × 10

d = 10s - 200  - - - - (2)

Note that the distance is the same to and from disney land, therefore, equation (1) equals equation (2)

∴ 6s = 10s - 200

collecting like terms:

10s - 6s = 200

4s = 200

∴ s = 200 ÷ 4

s = 50 m/hr

Therefore on the way there, the car was moving at a apeed of 50m/hr

speed on the way back home (s₂) = (s - 20) m/hr

∴ s₂ = 50 - 20

s₂ = 30 m/hr

Therefore on the way back home the speed was 30 m/hr

Answer:

(-6,7) (2,8) (-4,3)

Step-by-step explanation:

Negative seven multiply three minus negative thirty seven multiply two equal to seventy four minus twenty one equal to fifty three.

Answer:

Its irrational because pi is a repeating number with no pattern.

UwU hope this helps

Answer:

-5 - 8 = -13

Another way to express the difference is:

-8 + (-5) = 13

Step-by-step explanation:

(Picture)

Answer:

-5 - (-8)

Step-by-step explanation:

Answer:

the answer is c.

c shows the correct order.

Step-by-step explanation:

i hope this helps you! <33

Answer:

for negative the  highest number is the least, I believe and for positive numbers the least number is just the one that is the smallest  Step-by-step explanation:

Answer:

x=6

Step-by-step explanation:

Answer: x=6

Explanation:

1. Add:     15+25=40

2.Subtract 4 from each side:   40=4+6x

3.Divide by 6:   36=6x

4. x=6

Answer:

We use negative values for the money Arleen spends.

a) We determine the change to the value on her gift card:

4(-35)+(-9)= -140+(-9)=-149

b) We determine the amount on money she has left on the gift card after renting the tiller and buying the rake:

200+(-149)=51

Since she has got $51 on her gift card and a wheelbarrow is $50 she is able to buy it:

51>50

RESULT

a) -$149 less b) yes

Step-by-step explanation:

Answer:

c/4 is 7 and c is 28

Step-by-step explanation:

Answer:   Answer in steps

Step-by-step explanation:

[tex]\frac{c}{4} -12 = -5[/tex]    Add 12 to both sides  

[tex]\frac{c}{4} = 7[/tex]       Now multiply both sides by 4

c= 28

Answer:

(-6,14)

Step-by-step explanation:

We are given one endpoint and the midpoint, so we have to figure out how far apart these two points are:

(4,12) and (-1,13)

First, we take the x values because these two points are using the (x,y) pattern.

How far away are 4 and -1? The answer is 5.

How far away are 12 and 13? Only 1

If we start at the endpoint (4,12) and go to the midpoint at (-1,13), we go 5 to the left. That means we need to go 5 more spaces to the left to get to the other endpoint. The first part of our answer is -6, which is 5 to the left of -1.

Doing the same thing for the y values now, to get from 12 to 13 we go up 1. So we have to go up one more to find the y value of the other endpoint. If you are at 13 and you go up one, you are at 14.

Answer:

The answer is D

Step-by-step explanation:

To be a function, you cannot have the same x values.

Answer:

for the teacher to see are u a hard working student

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

when you add 5.1 and 7.7 together it would be 12.8 but you have to move the decimal to the left again since it has more than one number to the left then the ^5 would turn into ^6 and 1.28x10^6 is 1,280,000 and the other is only 1,000,000

Answer:

D

Step-by-step explanation:

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

Explanation:

Your teacher is effectively asking "are the fractions 19/8 and 5/4 equal?"

Let's assume for now that they are. So we have 19/8 = 5/4

To check if that is a true equation, let's cross multiply

19/8 = 5/4

19*4 = 8*5

76 = 40

The last equation is not true, so the first equation is also not true. The ratios are not in proportion.

---------------------------

Alternative method:

Instead of cross multiplying, we can get all the fractions to have the same denominator. The LCD (lowest common denominator) of the two given fractions is 8. Let's turn 5/4 into a fraction with 8 in the denominator.

We'll multiply top and bottom by 2 to get 5/4 turning into 10/8

Now we're asking "are 19/8 and 10/8 the same?" in which the answer is "no they are not the same". The numerators 19 and 10 are different. The fraction 19/8 is larger than 10/8. So 19/8 is larger than 5/4.

---------------------------

2nd Alternative method:

Use your calculator to see that

19/8 = 2.375

5/4 = 1.25

The decimal values should be the same if the fractions were equal, but they are not. This is a very quick way to compare two fractions.

Answer:

no

Step-by-step explanation:

because they are not equivalent to each other.

Complete Question:

A ball is kicked with an initial height of 0.75 meters and initial upward velocity of 22 meters/second. This inequality represents the time, t in

seconds, when the ball's height is greater than 10 meters.

-4.9t² + 22t + 0.75 > 10

The ball's height is greater than 10 meters when t is approximately between __ and __ seconds

Answer:

The ball's height is greater than 10 meters when t is approximately between 0.47 and 4.02 seconds

Step-by-step explanation:

Given

[tex]-4.9t\² + 22t + 0.75 > 10[/tex]

Required

Solve the inequality

[tex]-4.9t\² + 22t + 0.75 > 10[/tex]

Subtract 10 from both sides

[tex]-4.9t\² + 22t + 0.75 - 10> 10 - 10[/tex]

[tex]-4.9t\² + 22t + -9.25> 0[/tex]

Solve using quadratic formula

[tex]t = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}[/tex]

In this case;

a = -4.9; b = 22; c = -9.25

[tex]t = \frac{-22 \± \sqrt{22^2 - 4 * (-4.9) * (-9.25)}}{2 * -4.9}[/tex]

[tex]t = \frac{-22 \± \sqrt{484 - 181.3}}{-9.8}[/tex]

[tex]t = \frac{22 \± \sqrt{484 - 181.3}}{9.8}[/tex]

[tex]t = \frac{22 \± \sqrt{302.7}}{9.8}[/tex]

[tex]t = \frac{22 \± 17.398}{9.8}[/tex]

Split

[tex]t = \frac{22 + 17.398}{9.8}[/tex]    or      [tex]t = \frac{22 - 17.398}{9.8}[/tex]

[tex]t = \frac{39.398}{9.8}[/tex]   or     [tex]t = \frac{4.602}{9.8}[/tex]

[tex]t = 4.02[/tex] or  [tex]t = 0.47[/tex]

Convert to inequality;

[tex]0.47 < t < 4.02[/tex]

Hence;

The ball's height is greater than 10 meters when t is approximately between 0.47 and 4.02 seconds

Answer:

0.47 and 4.02

Step-by-step explanation:

Edmentum/Plato

Answer:

For every  7  small prizes won, there were  3  large prizes won.

ratio : 42:18 or 7:3

As 42/18  is the same as 7/3  For every 7 small prizes won, there were 3 large prizes won.

A ratio is a comparison between two similar quantities in simplest form.

Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.

In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.

Given, At a certain game at a school carnival, people won 42 small prizes and 18 large prizes.

Now, 42/18 = 21/9 = 7/3.

∴  For every 7 small prizes won, there were 3 large prizes won.

learn more about proportion here :

https://brainly.com/question/7096655

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Answer:

See below (I hope this helps!)

Step-by-step explanation:

We need to write this in the form y = mx + b.

x + 3y = -12

3y = -x - 12

[tex]y = \frac{1}{3}x - 4[/tex]

Answer:

3·2 - 3·b = 6 - 3b

Step-by-step explanation:

You "distribute" the 3 over the 2 and the -b.

Answer:

The first one

Step-by-step explanation:

According to definition of proportion, the correct statement is,

⇒ AC / BC = DF / EF

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

We have to given that;

⇒ Δ ABC ≅ Δ EFD

Now,

Since, We have;

⇒ Δ ABC ≅ Δ EFD,

Hence, By definition of congruency, the ratio of there corresponding sides are equal.

So, We get;

⇒ AC / BC = DF / EF

Thus, ''Option 3'' is true.

Learn more about the triangle visit:

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Answer:

The answer is 573 this is correct

Answer:

23/99

Step-by-step explanation:

0.23 is x.

Because x is recurring in two decimal places, we will multiply it by 100.

100x=23.23

Then we subtract.

100x-x=23.23-0.23

99x=23

x=23/99

Slope formula: y2-y1/x2-x1

Part one:

-7-4/-7-(-7)

-11/0

Since the denominator is 0, the slope is undefined.

Part two:

-9-(-9)/2-(-5)

0/7

Since the numerator is 0, the slope is 0.

Best of Luck!

Problem 1

Use the slope formula to get

m = (y2 - y1)/(x2 - x1)

m = (-7 - 4)/(-7 - (-7))

m = (-7 - 4)/(-7 + 7)

m = -11/0

The result is undefined as we cannot divide by zero.

This line is vertical and all vertical lines have undefined slopes. This happens when both points have the same x coordinate.

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

Problem 2

Use the slope formula again, just with different values of course

m = (y2 - y1)/(x2 - x1)

m = (-9 - (-9))/(2 - (-5))

m = (-9 + 9)/(2 + 5)

m = 0/7

m = 0

In contrast to the previous problem, we can have 0 in the numerator. Dividing 0 over any nonzero value leads to 0.

This line is horizontal as both y coordinates are the same value. All horizontal lines have a slope of 0. You can think of it like

slope = rise/run = 0/1

rise = 0 means we don't move up or down

run = 1 means we move to the right 1 unit

Answer:

Step-by-step explanation:

Given the expression sec²34°−tan²34°, to get the exact value using the fundamental identities​ and/or the complementary angle theorem, we will apply the trigonometry identity

From sin²θ+cos²θ = 1

Divide both sides of the expression by cos²θ

sin²θ/cos²θ+cos²θ/cos²θ = 1/cos²θ

tan²θ+1 =sec²θ

Since sec²θ= tan²θ+1, hence  sec²34°= tan²34°+1... 1

Substituting equation 1 into the expression given in question we will have;

sec²34°−tan²34°

=  (tan²34°+1)-tan²34°

collect like terms

= tan²34°-tan²34°+1

= 1

Hence the exact value of the expression sec²34°−tan²34° is 1

Answer:

it is x=-4

Step-by-step explanation:

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

Answer:

the answer is 27

Step-by-step explanation:

Answer:

xt=56

Step-by-step explanation:

90-22=68

68/2=34

xy=34

tz=34

22+34=56

xt=56