25 points if you answer. Martin Rode his bike 3 2/3 miles in 16 1/2 minutes. Assume he wrote the same speed the entire time. How fast did he ride in miles per minute?

Answers

Answer 1

Answer:

The speed is 2/9 miles per minute

Step-by-step explanation:

Speed is defined as the distance covered per unit time.

The formula for speed is given by:

[tex]Speed = \frac{distance}{time}[/tex]

Let s be the speed, d be the distance and t be the time then

[tex]s = \frac{d}{t}[/tex]

Given

[tex]d = 3\frac{2}{3} = \frac{11}{3}\ miles\\t = 16\frac{1}{2} = \frac{33}{2}\ minutes[/tex]

The speed will be calculated by dividing the number of miles by minutes

So putting the values in the formula

[tex]s = \frac{\frac{11}{3}}{\frac{33}{2}}\\= \frac{11}{3} * \frac{2}{33}\\=\frac{1}{3} * \frac{2}{3}\\=\frac{2}{9}[/tex]

Hence,

The speed is 2/9 miles per minute


Related Questions

what’s the area of this? i really need help....50 points if u help me :)

Answers

Answer:

Step-by-step explanation:

We can split this up into 3 shapes.

Using the attached image:

[tex]A = (5-2)*(3)\\A = 3*3 = 9\\\\B = \frac{1}{2}(7-3)(5-2)\\B = \frac{1}{2}(4)(3)\\B = 2*3 = 6\\\\C = 7 * 2 = 14\\\\A + B + C = 14 + 6 + 9 = 29[/tex]

7. 3042 = 55

A.77 B. 67 C. 39.29 D. 23

Answers

Answer:

A (77)

Step-by-step explanation:

What is the hypothesis of the following conditional statement? Conditional Statement: If a triangle has three congruent sides, then it is an equilateral triangle.

A.) The triangle has three sides.
B.) If it is an equilateral triangle, it has three congruent sides.
C.) It is an equilateral triangle.
D.) A triangle has three congruent sides.

Answers

The correct answer is A

Answer:

A triangle has three congruent sides

Step-by-step explanation:

100% .

Find the exact value of sin(x + y), given sin(x) = -1/2 , cos(y) = -1/3, x is an angle in quadrant III, and y is an angle in quadrant II.

StartFraction 2 minus StartRoot 5 EndRoot Over 6 EndFraction

StartFraction 1 minus 2 StartRoot 6 EndRoot Over 6 EndFraction

StartFraction 6 minus StartRoot 5 EndRoot Over 6 EndFraction

StartFraction StartRoot 3 EndRoot minus StartRoot 5 EndRoot Over 6 EndFraction

Answers

Given:

[tex]\sin (x)=-\dfrac{1}{2}[/tex]

[tex]\cos (y)=-\dfrac{1}{3}[/tex]

x is an angle in quadrant III, and y is an angle in quadrant II.

To find:

The value of sin(x+y).

Solution:

We know that, only sin and cosec are positive in II quadrant. Only tan and cot are positive in III quadrant.

x is an angle in quadrant III,

[tex]\cos x=-\sqrt{1-\sin^2 x}[/tex]

[tex]\cos x=-\sqrt{1-(-\dfrac{1}{2})^2}[/tex]

[tex]\cos x=-\sqrt{1-\dfrac{1}{4}}[/tex]

[tex]\cos x=-\sqrt{\dfrac{4-1}{4}}[/tex]

[tex]\cos x=-\dfrac{\sqrt{3}}{2}[/tex]

y is an angle in quadrant II.

[tex]\sin y=\sqrt{1-\cos^2x}[/tex]

[tex]\sin y=\sqrt{1-(-\dfrac{1}{3})^2}[/tex]

[tex]\sin y=\sqrt{1-\dfrac{1}{9}}[/tex]

[tex]\sin y=\sqrt{\dfrac{9-1}{9}}[/tex]

[tex]\sin y=\sqrt{\dfrac{8}{9}}[/tex]

[tex]\sin y=\dfrac{2\sqrt{2}}{3}[/tex]

Now,

[tex]\sin(x+y)=\sin x\cos y+\cos x\sin y[/tex]

[tex]\sin(x+y)=(-\dfrac{1}{2})\times (-\dfrac{1}{3})+(-\dfrac{\sqrt{3}}{2})\times (\dfrac{2\sqrt{2}}{3})[/tex]

[tex]\sin(x+y)=\dfrac{1}{6}-\dfrac{2\sqrt{6}}{6}[/tex]

[tex]\sin(x+y)=\dfrac{1-2\sqrt{6}}{6}[/tex]

Therefore, the correct option is B.

Answer:

Choice B

Step-by-step explanation:

A secant and a tangent meet at a 90° angle outside the circle. What must be the difference between the measures of the intercepted arcs?

45°
90°
180°
270°

Answers

Answer:

C) 180

Step-by-step explanation:

I hope this helps

Good luck ;)

The difference between the intercepted arc is 180°

What is an angle?

An angle is formed from the intersection of two or more lines. Angles less than 90 degrees are called acute angles, angles greater than 90° are called obtuse angles while angles with a measure of 90° are called right angles.

Circle theorem states that if a tangent and a sectant, two tangent or two sectant meets outside a circle, the measure of the angle formed is half the difference between the intercepted arcs.

A secant and a tangent meet at a 90° angle outside the circle. Hence:

90° = (1/2) * difference between the intercepted arc

Difference between the intercepted arc = 180°

The difference between the intercepted arc is 180°

Find out more on angle at: https://brainly.com/question/25770607

Can anyone help me with this?

Answers

Answer: X= 3^-1

X= -0.75

Step-by-step explanation:

X=-0.75
Explain: mdhdmhshsbb


need help pls help :(

Answers

Answer:

Neither

Step-by-step explanation:

function A is  non linear

i need help with these ​

Answers

Answer:

7+4=11

Step-by-step explanation:

12/3 equalls 4 because the 12÷3=4.

a function is a type of ____.
a. vertical line test
b. relation
c. range
d. domain

Answers

it’s a type of range

Answer:

relation

Step-by-step explanation:

i just took the test and got it wrong because of the other answer

Keiko, Juan, and Tony have a total of $80 in their wallets. Keiko has $5 less than Tony. Juan has 3 times what Tony has. How much does each have?

Answers

Answer:

Keiko 12 +  Juan 51 + Tony 17 = $80

Step-by-step explanation:

K + J + T = 80

K=T-5

J=3T

T=T

T-5 + 3T + T = 80

5T -5 = 80  -->  5T = 85 --> T = 17

now that u know T=17, substitute the value of T to find K and J

K=(17)-5 = $12

J=3(17) = $51

T= $17

y−2x=4
3x−5y=15

The system of equations above is only true if x=-6 or x=-5 or x=5 or x=10 and y=-10 or y=-8 or y=-6 or y=3

Answers

Answer:

The answer is x=-5 and y= -8

Step-by-step explanation:

what equation does this model show?

Answers

Answer:

14x-12=9x-25

Step-by-step explanation:

Since the balance is equaled, the equation would read to be 14x-12=9x-25.

Find the distance from point A(−14, 5) to the line −x+2y = 14.

Answers

Answer:

The distance from point A to given line is: 2√5 or 4.472 units

Step-by-step explanation:

Given equation of line is:

[tex]-x+2y= 14[/tex]

And the point is:

[tex]A = (x_1,y_1) = (-14,5)[/tex]

The standard form of equation of line is:

[tex]Ax+By+C = 0[/tex]

Converting the given equation into standard form

[tex]-x+2y-14=0[/tex]

The distance of a point (x1,y1) from a line is given by the formula:

[tex]d = \frac{|Ax_1+By_1+C}{\sqrt{A^2+B^2}}[/tex]

In the given details,

A = -1, B = 2, C = -14

x1 = -14, y1 = 5

Putting the values in the formula

[tex]d = \frac{|(-1)(-14)+(2)(5)-14|}{\sqrt{(-1)^2+(2)^2}}\\d = \frac{14+10-14}{\sqrt{1+4}}\\d = \frac{10}{\sqrt{5}}\\d = \frac{5*2}{\sqrt{5}}\\d = \frac{\sqrt{5}*\sqrt{5}*2}{\sqrt{5}}\\d = 2\sqrt{5}\\d = 4.472\ units[/tex]

Hence,

The distance from point A to given line is: 2√5 or 4.472 units

w/3 =9
what is w ? W=____

Answers

Answer:

27

Step-by-step explanation:

27÷3 = 9

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l

Answer:

the answer is 27 i told u this but need points

Step-by-step explanation:

What is the exchange rate for converting British pounds (GBP) to Australian dollars (AUD)? Answer and get 50 dollars on cashapp, FIRST COME FIRST SERVER

Answers

1 Pound is equal to 1.81 Australian Dollars

1 Pound sterling equals  1.81 Australian Dollar

Determine if the triangles are congruent. If so, write a congruence statement. Explain
your reasoning in a short paragraph proof.

Answers

Answer: Yes, there are congruent.

Step-by-step explanation: A triangle is congruent if the same shape and size. In this figure, they're congruent.

I hope this helps you!

12(x - 6) = 2(x - 9)

Answers

Answer:

Exact form: x = 27/5

Decimal form: x = 5.4

Mixed-number form: x = 5 2/5

Step-by-step explanation:

hope this helps :)

Write the ratio as a fraction in simplest form, with whole numbers in the numerator and denominator.

12 min to 20 min

Answers

Answer: pretty sure it’s 12/20

2. A plumber charges a $70 fee for a repair plus $30 per hour. Write an equation to model the
total cost y of a repair that takes x hours. What is the slope? What is the y-intercept?
(3 points)

Answers

Answer:

y = 70 + 30x

slope 30

y intercept 70

Step-by-step explanation:

Circle the ratio which is the same as 1 cm represents 2m
1:2
1:20
1:200
1:2000​

Answers

Answer:

1 cm: 200 cm (if they don't give units) (most likely this answer) (1:200)

if the units are centimeter and meter though, then it's

1:2

Step-by-step explanation:

there are 100 cm in 1 meter, so 1cm:2m

is actually 1cm : 200cm

What is the slope of the line

Answers

Answer:

[tex]m=\frac{-1}{3}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Find points from the graph.

Point (2, 0)

Point (5, -1)

Step 2: Find slope m

Substitute:                    [tex]m=\frac{-1-0}{5-2}[/tex]Subtract:                       [tex]m=\frac{-1}{3}[/tex]

And we have our answer!

Find the percent increase. Round to the nearest percent.

From 76 books to 131 books

The percent increase is _____%

Answers

Answer:

I think it's a 72.36% increase

Step-by-step explanation:

I'm not completely sure but that's what the calculator I used said..

Answer:

3

Step-by-step explanation:

Find the amount of change.

Amount of change = Greater Value − Lesser Value

= 131 − 127 Substitute values.

= 4 Subtract.

Find the percent increase. Round to the nearest percent.

Percent Change =  

Amount of Change

Original Amount

 

=  

4

131

 Substitute values.

≈ 0.03 Divide and round to the nearest hundredth.

= 3% Write as a percent.

The percent decrease is 3%.

pls press the heart if this was helpful

A video game store adds a 25% markup on each of the games that it sells. In addition to the manufacturer's cost, the store also pays a $1.50 shipping charge on each game.

Answers

Answer:

[tex]y=1.25x+1.5[/tex]

Step-by-step explanation:

Step one:

given data

let the manufacturing cost of the video game be x

25% of x

=25/100*x

=0.25x

the new price of the video game will be

=0.25x+x

=$1.25x

cost of shipping is given as $1.5

let the total cost of producing a video game be y

The expression for the total cost of one video game is given as

[tex]y=1.25x+1.5[/tex]

i was doing fine until i came to this question please help
i dont know what its asking

Answers

x=6 because you must do this

6x-9=4x+3
Add 9 to both sides

It becomes
6x=4x+9

Then subtract 4x

It becomes 2x=12

Divide 2 by both sides

It becomes
X=12 divided by 2
Which of course is 6

X=6

The slope of the line that passes through the point (2,4) and (3,8)is

Answers

Answer:

4

Step-by-step explanation:

x1 = 2, y1 = 4

x2 = 3, y2 = 8

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

m = (8-4)/(3-2)

m = 4/1

m = 4

Therefore, the slope of the line is 4

Help me with math please

Answers

Answer:

B. 1/6

Step-by-step explanation:

what is the solution set of the above question ?

Answers

Answer:

The solution set is { } or ∅ ⇒ empty set

Step-by-step explanation:

2x + 10 < 10

→ Subtract 10 from the two sides of the inequality

∵ 2x + 10 - 10 < 10 - 10

∴ 2x < 0

→ Divide both sides by 2

∴ [tex]\frac{2x}{2}[/tex] < [tex]\frac{0}{2}[/tex]

x < 0

∴ The solutions are all the negative numbers

x ∈ N

N is the set of Natural numbers

→ The natural numbers start at 1 and include all positive whole numbers

N = {1, 2, 3, 4, 5, ..............}

∵ N does not contain any negative numbers

∴ The solution set is an empty set ⇒ ∅

The solution set is { } or ∅

Select all the comparisons that are correct.
Check all that are true.
0.5 inches > 0.60 inches
0.10 inches
0.1 inches
0.75 inches > 0.6 inches
0.9 inches < 0.85 inches
0.2 inches < 0.28 inches

Answers

Answer:

a b e i think  

Step-by-step explanation:

whats 14 4/10 - 13 1/3 ASAP

Answers

Answer:

1 1/15

Step-by-step explanation:

Answer:

16/15  or  1.06.. or 1 1/15

Step-by-step explanation:

:)

Which of the following values are solutions to the inequality 4+2x\le 4?4+2x≤4?
\text{I.}\hspace{2px}0\hspace{20px}\text{II.}\hspace{2px}-4\hspace{20px}\text{III.}\hspace{2px}-3
I.0II.−4III.−3

Answers

I got 14 to the third power because when You multiply the quadratics
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