Michael hires a cab that charges a fare of $0.50 per mile, plus an initial charge of $2. Jason hires a cab that charges a fare of $0.50 per mile, plus an initial charge of $3.50.

At how many miles will the fares paid by Michael and Jason become equal?

Answer:

Step-by-step explanation:

a ruler.

Answer:

Measuring tape

Step-by-step explanation:

Answer:

D 10/15 > 10/16

Step-by-step explanation:

The least common multiple of 2 and 5 is 10.

2/3 = 10/15

5/8 = 10/16

10/15 > 10/16

Answer: D.

Final answer:

When Loren compares 2/3 and 5/8 using a common numerator, he finds that by making both numerators 10 (10/15 and 10/16), 10/15 is less than 10/16, because the fraction with the larger denominator is the smaller fraction.

Explanation:

To compare the fractions 2/3 and 5/8 by rewriting them using a common numerator, Loren has to find a common multiplier for each numerator that would make them equal. He could multiply the numerators and denominators of both fractions by the other fraction's numerator. For 2/3, he would multiply by 5, and for 5/8, he would multiply by 2. This gives:

For 2/3: (2\*5)/(3\*5) = 10/15

For 5/8: (5\*2)/(8\*2) = 10/16

Now, Loren can compare the fractions easily since they have the same numerator:

Option C: 10/15 < 10/16

This is because, with the same numerator, the fraction with the larger denominator is the smaller fraction.

Answer: Alaska

Step-by-step explanation: Alaska has the Earliest United States Time Zone as from Earliest to latest Alaska is 2 PM. Pacific is 3 PM. Mountain is 4 PM. Central is 5 PM. Eastern is 6 PM. Therefore Aleutian/Hawaii is 7 PM. From West, headed East, Each time Zone bumps up 1 hour.

Answer:

flip the > to a <

when it's negative always flip the sing

Answer:

67

Step-by-step explanation:

Total

= 43 + 69 + 48 + 37 + 85 + 57 + 95 + 102

= 536

Mean

= 536 ÷ 8

= 67

The mean of the given set of numbers is 67.

The mean, also known as the average, is calculated by adding up all the numbers in a set and then dividing the sum by the total number of values in the set.

To find the mean of the set of numbers 43, 69, 48, 37, 85, 57, 95, and 102, you need to add all the numbers together and then divide the sum by the total number of values, which is 8.

43 + 69 + 48 + 37 + 85 + 57 + 95 + 102 = 536

536 ÷ 8 = 67

Therefore, the mean of the given set of numbers is 67.

https://brainly.com/question/31101410

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Answer:

a) is skewed right since there is more data on the right.

b)5 if there is 3 6's and 3 5's

c) if there are 13 digits in total it is 4.9

Step-by-step explanation:

Answer:

[tex]\boxed{\text{\$11 500}}[/tex]

Step-by-step explanation:

$1437.50 = 12.5 % of price

[tex]\text{Price} = \text{100 \%} \times \dfrac{\text{\$1437.50}}{\text{12.5 \%}} = \text \$11 500}[/tex]

The price of the motorcycle before tax was [tex]\boxed{\textbf{\$11 500}}[/tex]

Answer:

Statements 2 and 3 are true

Step-by-step explanation:

Reading from the table

When x = -4, y = -1  so statement 1 is false

When x = -1, y = -2.5 so statement 2 is true

When x = 0, y = -3  so statement 1 is true

When x = 2, y = -4 so statement 2 is false

Answer:

Statements 2 and 3 are true

Step-by-step explanation:

Reading from the table

When x = -4, y = -1  so statement 1 is false

When x = -1, y = -2.5 so statement 2 is true

When x = 0, y = -3  so statement 1 is true

When x = 2, y = -4 so statement 2 is false

Answer:

The positive zero is 11

Step-by-step explanation:

Given in the question an equation,

f(x) =x² - 121

We are asked to find the positive zero of f(x)

means x > 0 for which f(x) = 0

so,

 x² = 121

Take square root on both sides of the equation

√x² = √121

  x =  ±11

which means that x = 11 and x = -11

Since x > 0 so we will reject x =-11 and we will accept x = 11

Answer: 11

Step-by-step explanation:

You need to substitute [tex]f(x)=0[/tex] into the function given:

[tex]f(x) =x^2-121\\0 =x^2-121[/tex]

Now you need to solve for the variable "x", to do this, first you must add 121 to both sides of the function:

[tex](121)+0=x^2-121+(121)\\121=x^2[/tex]

Now apply square root to both sides of the function. Then, you get:

[tex]\±\sqrt{121}=\±\sqrt{x^2}\\\\\±\sqrt{121}=x\\\\x_1=11\\x_1=-11[/tex]

The value of the positive zero of the function is 11.

Answer:

If It was a Fraction it'd be 8/5

Step-by-step explanation:

Answer:

0.3

Step-by-step explanation:

30/10=3

100/10=10

That makes 3/10= 0.3

Answer:0.30

Step-by-step explanation:30 divided by 100 is 0.30

Answer:

So first, we can see that two out of four sides of this triangular prism is a square because they have equal side lengths.

The surface area of these two sides should be:

A = a² · 2 = 10² · 2 = 100 · 2 = 200 (ft²)

Next, we need to find the area of the two triangles:

A = bh/2 · 2 = hb = 8 · 12 = 96 (ft²)

Lastly, we have the rectangular base:

A = wl = 10 · 12 = 120 (ft²)

All we need to do now is to add up all of our results:

A = 200 + 96 + 120 = 416 (ft²)

Answer: No

Step-by-step explanation:

Like terms are when the variables of two numbers are the same so they would not be like terms.

Example:

5x+7y Are not like terms because they have different variables

but...

5x+7x Are like terms because they have the same variable(x).

No it’s is not because the variables of both the numbers has to be the same.

Answer:

20 square units

Step-by-step explanation:

You count how many across the parallelogram is (which is 4) and you count how high it is (which is 5). Then you multiply 5×4* which equals 20 square units.

*The reason you do this is because base×hieght=area

Answer:

20 square units

Step-by-step explanation:

Area of a parallelogram formula = base times height

To find the length of the base we take end points of the base and use distance formula

[tex]distance =\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Two points are (1,0) and (5,0)

Distance = [tex]\sqrt{(5-1)^2+(0-0)^2}[/tex]

[tex]=\sqrt{4^2} =4[/tex]

Length of base = 4 units

Now we find out the height between B (1,0) and D (1,5)

Height =[tex]\sqrt{(1-1)^2+(5-0)^2}=\sqrt{5^2}= 5[/tex]

Height = 5

Area of the parallelogram = base times height

= [tex]4 \cdot 5= 20[/tex]

So area = 20 square units

The answer is:

The value of x is 3.9 units.

From the statement we know that the sum of the distances AB and BC is equal to 9.7 units, so, we need to write one equation to create a relation between the given distances and the total distance (AB + BC)

So, writing the equation, we have:

[tex]AB+BC=AC\\\\2x-3+(x+1)=9.7[/tex]

Now, adding like terms, we have:

[tex]2x-3+(x+1)=9.7[/tex]

[tex]2x+x-3+1=9.7[/tex]

[tex]3x-2=9.7[/tex]

[tex]3x=9.7+2[/tex]

[tex]x=\frac{9.7+2}{3}=\frac{11.7}{3}=39.9[/tex]

Hence, we have the value of x is 3.9 units.

Have a nice day!

Answer: the answer is 6.

Step-by-step explanation:

a p e x

Answer: (2, -2)

To find the x coordinate of the midpoint: (-2+6)/2

To find the y coordinate of the midpoint: (5+(-9))/2

Answer:

The mid point is (2, -2).

Step-by-step explanation:

Since, the coordinates of mid point of a line segment having end points [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are,

[tex](\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})[/tex]

Thus, the midpoint of the line segment whose endpoints are (-2, 5) and (6, -9) would be,

[tex](\frac{-2+6}{2}, \frac{5-9}{2})[/tex]

[tex](\frac{4}{2}, \frac{-4}{2})[/tex]

[tex](2, -2)[/tex]

Answer:

ΔADC ≅ ΔCBA by the SSS congruence postulate

Step-by-step explanation:

This is because of the following:

AD ≅ CB

DC≅AB

lastly, AC≅AC,

however ΔADC ≅ ΔABC by the SSS congruence postulate is also true since ΔABC and ΔCBA is just the same triangle. We can name our triangle in the both the same way.

Answer:

[tex]r=\sqrt{\dfrac{75}{\pi}}\approx 4.89\ in[/tex]

Step-by-step explanation:

If the water in the cube rose from 6 inches to 8 inches when the cone was placed in the cube, then the difference in volumes is the volume of the submerged portion of the cone.

Initially, 10 in by 10 in by 6 in:

[tex]V_{initial}=10\cdot 10\cdot 6=600\ in^2.[/tex]

At he end, 10 in by 10 in by 8 in:

[tex]V_{final}=10\cdot 10\cdot 8=800\ in^3.[/tex]

Thus,

[tex]V_{submerged \ cone}=800-600=200\ in^3.[/tex]

Use cone's volume formula

[tex]V_{cone}=\dfrac{1}{3}\pi r^2 \cdot h,[/tex]

where r is the radius of the cone's base, h is the height of the cone.

From the diagram, h=8 in, then

[tex]200=\dfrac{1}{3}\cdot \pi\cdot r^2\cdot 8\\ \\\pi r^2=75\\ \\r^2=\dfrac{75}{\pi}\\ \\r=\sqrt{\dfrac{75}{\pi}}\approx 4.89\ in[/tex]

Answer:

Step-by-step explanation:

Factor −16t2+20t

−16t2+20t

=4t(−4t+5)

Answer:

4t(−4t+5)

or

Let's simplify step-by-step.

−16t2+20t

There are no like terms.

Answer:

=−16t2+20t

The equation f(t)=-16t^2+20 when solved gave t = 0 and t = 1.25.

To solve the quadratic equation f(t)=-16t^2+20t, we first need to rearrange it into the standard form of a quadratic equation at^2 + bt + c = 0. We can simplify the original equation by dividing all terms by -4, which will reverse the signs:

4t^2 - 5t = 0

Now, this equation can be factored, giving us:

t(4t - 5) = 0

This means our equation has two possible solutions for when it equals zero:

t = 0 or 4t - 5 = 0

Solving the second part for t gives us t = 5/4 or 1.25.

Therefore, the equation f(t) = -16t^2 + 20t has two solutions for t: t = 0 and t = 1.25.

Answer:

i think value 35

Step-by-step explanation:

Answer:

7.7

Step-by-step explanation:

16^2=14^2+b^2

b^2=60

b=7.7

Answer:

(D)

Step-by-step explanation:

Slope : ( y2 - y1 )/( x2 - x1)

slope : ( -2 - 4 )/( - 3 + 4)

slope: ( -6 )/( 1 )

slope : -6

Final answer:

John and Ramona are closing in on each other on a collision course with a combined speed of 35 mph over a distance of 24 miles. After doing the calculation, we find that it will take them approximately 41.14 minutes to meet.

Explanation:

To find out how long it will take John and Ramona to meet, we can assume they are moving towards each other on a collision course. We do this by adding their speeds together since they are moving in opposite directions. John cycles at a speed of 20 mph and Ramona cycles at 15 mph, so the combined speed at which they are closing in on each other is 20 mph + 15 mph = 35 mph.

The distance between them is 24 miles. To calculate the time it takes for them to meet, we divide the total distance by their combined speed:

Time = Distance / Speed

Time = 24 miles / 35 mph

Time = 0.6857 hours

Since time is often represented in minutes, we multiply the decimal by 60:

0.6857 hours * 60 minutes/hour = 41.14 minutes

Therefore, it would take approximately 41.14 minutes for John and Ramona to meet.

Answer:

D

Step-by-step explanation:

To shift down:

F(x)-b

To shift up:

F(x)+b

To shift right:

F(x-b)

To shift left:

F(x+b)

ANSWER

D. The graph of G(x) is the graph of F(x) shifted 7 units down.

EXPLANATION

The given assumption is that:

G(x)= F(x)-7

This implies that, our parent function is F(X).

Since 7 is subtracted from F(x) to obtain the graph of G(x), it means that shifting the graph of F(x) down by 7 units gives us the graph of G(x).

D. The graph of G(x) is the graph of F(x) shifted 7 units down.

Answer:

23.79

Step-by-step explanation:

one is less than 5 so you just drop it

Answer:

23.79

Step-by-step explanation:

In the number 23.791, the number place holding the 9 is the hundreth's place. Now look at the thousands place, the number place holding the 1.

If the number in the thousands place is 5-9, round up to 23.8

If the number in the thousands place is 1-4, round down to 23.79

Since 1 is smaller than 5, round doqn to 23.79

I hope this helps!

Answer:

The percent decreased of the number of visitors to Alec’s website

  from February to March is 9.1%

Step-by-step explanation:

* Lets talk about the percentage of increase and decrease

- Percent of Increase (Decrease) =

 (amount of increase or decrease ÷ original amount) × 100%

- Increase {New amount > Original amount}    

- Decrease {Original amount > New amount}

* Now lets solve the problem

- The number of visitors in February is 1518

- The number of visitors in March is 1380

- The number in March < the number in February

∴ The decreasing amount = 1518 - 1380 = 138 visitors

∵ The original number = 1518

∴ The percent decreased = (138 ÷ 1518) × 100% = 9.1%

* The percent decreased of the number of visitors to Alec’s website

  from February to March is 9.1%

Answer:

B

Step-by-step explanation:

I. Number of men who liked both equally = 18

Number of men who preferred the movie = 35

18 < 35, so this option is false.

II. Number of men preferred the book  = 56

Number of women preferred the book = 28

56 = 2 · 28, so this option is true.

III. Number of women preferred the book = 28

Number of women preferred the movie = 35

28 < 35, so this option is false.

IV. Number of men who preferred the movie = 35

Number of women who preferred the movie = 35

35 = 35, so this option is true.

True options II and IV.

Answer:

Its easy just fill in the blacks

Step-by-step explanation:

P1 is 5 P2 is 2 P3 is 4 and so on now the odd and even u add the odd number together and the even together like 2+2+1 (the even side) =5 so put 5 in the even and do the same thing to odd 5+4+6 = 15 and put 15 on odd #

Hope this helps!

Answer:

f(x) = -8(4)x

Step-by-step explanation:

The reflection of the point (x,y) across  the x-axis is the point (x,-y).

Having said this, to reflect the function y=g(x) = 8(4x) over the x-axis, we just need to evaluate the equation in the point: (x,-y).

y = 8(4x) ⇒ -y = 8(4x) ⇒ y = -8(4x)

Then f(x) = -8(4x)

Attached you will find the graph of g(x) (blue) and f(x) (red),

Answer:

[tex]f (x) = -8(4x)[/tex]

Step-by-step explanation:

The transformation that reflects the function [tex]g(x)[/tex] on the axis is:

[tex]y = -g (x)[/tex].

Therefore if we have the function

[tex]g (x) = 8 (4x)[/tex] and we call [tex]f (x)[/tex] to the transformation that relieves g (x) on the x axis then:

[tex]f (x) = -g (x)\\\\f (x) = -8(4x)[/tex]

Finally the equation for f(x) es:  [tex]f (x) = -8(4x)[/tex]

Answer:

31%

Step-by-step explanation:

100- 75 = 25

25/81 = 0.308 = 31%

First, find what percentage of the total price the jeans are. Price of jeans divided by total cost paid

75/81=.9259 the jeans were 92.59% of the total cost; the rest is tax. So you subtract 92.59% from 100% (the total cost paid) and get 7.41% sales tax