The distance around a lake is 6 7/12 kilometers. Evan rode his bike 5/6 of the distance around the lake. What is the distance in kilometers that Evan rode

Answers

Answer 1

Answer:

5 35/72 kilometers

Step-by-step explanation:

The distance around a lake is 6 7/12 kilometers. Evan rode his bike 5/6 of the distance around the lake. What is the distance in kilometers that Evan rode

This is calculated as:

Total distance = 6 7/12 km

Evan rode = 5/6 of the distance

Hence:

The distance Evans rode is

5/6 of 6 7/12

= 5/6 × 79/12

= 395/72

= 5 35/72 km(kilometers)


Related Questions

write the equation of a parellel to the given line that goes through the given point y=8x+3 (2,4)

Answers

Answer:

The equation of a parallel to the given line that goes through the given point (2, 4) is:

[tex]y=8x-12[/tex]

Step-by-step explanation:

Given the equation

[tex]y=8x+3[/tex]

comparing the equation with the slope-intercept form

[tex]y=mx+b[/tex]

Here,

m is the slope y is the intercept

so the slope of the line is m = 8.

We know that the slopes of parallel lines are equal.

so, the slope of the perpendicular line will be = 8

Therefore, the equation of a parallel to the given line that goes through the given point (2, 4) is:

[tex]y-y_1=m\left(x-x_1\right)[/tex]

[tex]y-4 = 8 (x-2)[/tex]

[tex]y-4 = 8x-16[/tex]

[tex]y = 8x-16+4[/tex]

[tex]y=8x-12[/tex]

use the distribute property to rewrite the following expression (6+15). your final answer should be in the form _(_+_).

what's in the blanks? ​

Answers

Answer:

3(2+5)

Step-by-step explanation:

The common number that both 6 and 15 can be divided by is 3

3x2=6 and 3x5=15

Orange
A package of 15 party hats
costs $9.75. At this rate, what is the
cost of each party hat
in dollars and cents?

Answers

divide 9.75 by 15 equals sixty ixty five cent's

0.65 cents will be the cost of each party hat.

Shane reads 16 pages in 8 minutes.
a. How many pages does Shane read per minute,
b. How many minutes does Shane spend reading each page

Answers

A. 2 pages per minute
B. 1/2 minute per page

Hope this helps
A irs to pages per screen
B is you down to 5

kim spends 5.00 for a foot massage. if its costs 0.75 for each sessions how many sessions did kim get

Answers

Answer:

the answer is 6.7

Step-by-step explanation:

you have to divide 5.00 by 0.75 to get the answer

Answer:

C 7

Step-by-step explanation:

You divide 5.00 by 0.75 to get you answer of how many session

2x-3y = 2y - x then find the value of ×:y

Answers

Answer:3x

Step-by-step explanation:

If 2x+y=2y−x, then the value of y in terms of x can be

3x

Triangle PQR has angles in the ratio of 2:3:5.
Which type of triangle is APOR?
1) acute
2) isosceles
3) obtuse
4) right
What is the answer???

Answers

Answer:(4) right angle

Step-by-step explanation:

you need to get 180 right solve it from there

The angle is 90degrees, hence the triangle PQR is right triangle

The sum of an interior angle of a triangle is 180 degrees. If the triangle PQR has angles in the ratio of 2:3:5.

Sum of the ratio = 2 + 3 + 5

Sum of the ratios = 10

For the ratio of m<P:

<P = 2/10 * 180

<P = 36 degrees

For the angle m<Q

m<Q = 3/10 * 180

m<Q = 54 degrees

For the angle R;

m<R = 5/10 * 180

m<R = 90 degrees

Since one of the angles is 90degrees, hence the triangle PQR is right triangle

Learn more on angles here: https://brainly.com/question/14362353

Solve each of these equations.
3y - 4= 6 - 2y
a.y=5
b.y = -2
c. y = 10
d. y = 2

Help please !!

Answers

Answer:

easy the answer is d)y=2

Step-by-step explanation:

why because

3y−4=6−2y

Add 2y to both sides.

3y−4+2y=−2y+6+2y

5y−4=6

Add 4 to both sides.

5y−4+4=6+4

5y=10

Divide both sides by 5.

5y/5 = 10/5

y=2

X-1=2 work out the value of 2x^2

Answers

Answer: 18

Step-by-step explanation:

X-1=2

X=3

2(3)^2

2(9)

18

Value of an algebraic expression depends on the values of its variables usually. The value of [tex]2x^2[/tex] for given condition is obtained to be 18

How to evaluate a given mathematical expression with variables if values of the variables are known?

You can simply replace those variables with the value you know of them and then operate on those values to get a final value. This is the result of that expression at those values of the considered variables.

For the given case, we are given that [tex]x - 1 =2[/tex]

By this, we can get the value of the variable 'x' as:

[tex]x - 1 = 2\\\text{Adding 1 on both the sides, we get}\\x = 3[/tex]

Now, putting 3, in place of x, in expression [tex]2x^2[/tex], we get:

[tex]2x^2 = 2 \times (3^2) = 2 \times 9 = 18\\[/tex]

( sign of multiplication is often hidden if there are non numeric symbols and numbers being multiplied are written together, thus, [tex]2x^2 = 2 \times x^2[/tex])

Thus, the value of [tex]2x^2[/tex] for given condition is obtained to be 18

Learn more about evaluating expressions here:

https://brainly.com/question/2753269

Robin has a piece of ribbon that is 4.5 meters long. She wants to cut it into pieces that are .05 meters long. How many pieces of ribbon can Robin make?

Answers

Answer: 9 pieces of ribbon

Explanation: 4.5 / 0.5 = 9
Answer : She can make 90 ribbons

Explanation: To solve this, you take 4.5m and divided by 0.05. It would give you 90 :)!

In an xy-coordinate system, Line l has a slope of –3. If the points (2, 16) and (5, t) are on Line l, what is the value of t?

Answers

Answer:

25 i think

Step-by-step explanation:

I don’t understand please help

Answers

Answer:

option C is the correct answer

Step-by-step explanation:

What is the common difference for this arithmetic sequence?
45, 40, 35, 30, 25, ...

Answers

Answer:

It would not be a positive 5 but a -5 as your answer.

Step-by-step explanation:

45-5=40 and so forth

f^-1(-10) + f(-6)
Please help!!!!

Answers

Answer:

-10/f-6f

Step-by-step explanation:

simplify it the equation

Can you please help me?!!!

Answers

Answer:

2 2/3

Step-by-step explanation:

Answer:

-7 1/3

Step-by-step explanation:

I already learned how to do that

The lines in the graph of Part A don't intersect as two whole numbers on the coordinate grid. Estimate the values of the solution to the nearest one-fourth of a unit. The substitute the x- and y-values of the approximate solution into the two equations. How close do you get to the constant numbers in each equation?

Answers

Answer:

The solution lies at approximately (4.25,6.5).

Step-by-step explanation:

The estimation is moderately close for both of the equalizations. For the very first equation, the calculation appears in an amount that is barely 0.2125 units distant from the permanent. For the second equation, the calculation appears in an amount that is barely 0.25 units apart from the permanent.

Solve for n.
- 24 -6n= -42

Answers

Answer:

n=3

Step-by-step explanation:

Answer:

n=3

Step-by-step explanation:

-24 -6n = -42

+24 (move to other side)

-42 + 24 = -18

-6n = -18

to move the -6 to the other side you divide

-18 divided by -6 is 3

n=3

You are going to make three shelves for your father and have one piece of lumber 20 feet long. Your plan is to make the top shelf half a foot shorter than the middle shelf and to have the bottom shelf half a foot shorter than twice the length of the top shelf. How long is each shelf? t= length of the top shelf t=m-1/2 m = length of middle shelf b = length of bottom shelf. B=2t-1/2 t+m+b=20

Answers

Answer:

The top shelf is 5 feet, the middle shelf is 5.5 feet and the bottom shelf is 9.5 feet

Step-by-step explanation:

Let t= length of the top shelf, m = length of middle shelf and b = length of bottom shelf.

Therefore:

t = m - 1/2; m = t  + 1/2

Also, b = 2t - 1/2

The total of the three shelves is 20 feet, therefore:

t + m + b = 20

Substituting:

t + t + 1/2 + 2t - 1/2 = 20

4t = 20

t = 20/4

t = 5 feet

m = t + 1/2 = 5 + 1/2 = 5.5 feet

b = 2t - 1/2 = 2(5) - 1/2 = 9.5 feet

The top shelf is 5 feet, the middle shelf is 5.5 feet and the bottom shelf is 9.5 feet

How do you do this ? Need some help ASAP!

Answers

Answer:

On what

Step-by-step explanation:

What is the slope of the line represented by the equation y = 4/5x - 3

Answers

Answer:

the slope 4/5x and the y intercept is -3

Step-by-step explanation:

What is the relationship between two similar quadrilaterals and their areas?

Answers

Quadrilaterals with same length and breadth or height have same areas.

Step-by-step explanation:

You can prove this by drawing two quadrilaterals individually and then by calculating there areas.

t the ratio of the perimeters of similar figures is equal to their scale factor and that the ratio of their areas is equal to the square of their scale factor.

The point (1,0) lies on the graph of
P(x) = x^4 - 2x^3 - x+2
A. True
B. False

Answers

Answer:

The given statement is true.

Step-by-step explanation:

Given function is:

[tex]P(x) = x^4 - 2x^3 - x+2[/tex]

And the given point is:

(1,0)

In an ordered pair, the first element is the input and second is the output. If we plug in the input to the function and get the respective output then the point lies on the graph of function.

For (1,0) we will put x = 1 in function and check whether we get 0 as output

[tex]P(x) = (1)^4 - 2(1)^3 - 1+2\\= 1-2(1)-1+2\\= 1-2-1+2\\=0[/tex]

Hence,

The given statement is true.

Answer:

A. True

Step-by-step explanation:

Help need to know if I did this right question in picture

Answers

Answer:

Wrong. If the line segment AB= 10, then the measure of AC= 10 as well. It's a right triangle. All the sides are the same.

Step-by-step explanation:

Answer: Not correct.  The tic marks on the angles mean that this is an equilateral triangle  

All the line segments are equal. If a length is given for one side of the triangle, the others are the same

All the angles are equal. The total of all the angles is 180. to find any one of them divide 180 ÷ 3

Step-by-step explanation:  This looks like a test item, so we are not supposed post answers.

So I hope this is enough to help you make the corrections yourself.

I need 6x-10 ima not too good with these

Answers

x=11

the angles are congruent so 6x-10=56

6x=66

x=11

I HAVE 70 POINTS SHOULD I GIVE THEM AWAY

Answers

Answer:

yes lol unless u dont wanna

Answer:

If you want, but I'm open :P

Step-by-step explanation:

:D

Leo placed a ladder against the back of his store building to paint a sign. The top of the ladder was 9 feet above the ground and the bottom of the ladder was 3 feet from the base of the building. What is the length, to the nearest tenth of a foot, of the ladder?

Answers

You’ll want to draw a triangle if you imagine the ladder leaning against the building it forms a right triangle with height “a” being the distance from the ground to the window, and the hypotenuse “c” being the length of the ladder. We want to solve for base “b” and the distance between the foot of the ladder and the building
Recall the Pythagorean theory
a^2 + b^2 = c^2
9.5 feet is the length of the ladder.

Write P(x) = x3 + x2 − 17x + 15 as a product of two factors, using x − 3 as one factor.

Answers

Answer: (x-3)(x-1)(x+5)

Step-by-step explanation: Factor this polynomial, to do that you use the rational roots theorem.

Answer: (x-1)(x-3)(x+5)

Step-by-step explanation:

Use the rational root theorem

Constant term = 15, Coefficient of leading term = 1

Factors of 15: 1, 3 , 5, 15

Factors of 1: 1

Therefore, (x-1) is a factor

[tex]\begin{array}{l}=\frac{\left(x-1\right)\frac{x^3+x^2-17x+15}{x-1}}{x-3}\\\\=\frac{\left(x-1\right)\left(x^2+2x-15\right)}{\left(x-3\right)}\\\\=\frac{\left(x-1\right)\left(x-3\right)\left(x+5\right)}{x-3}\\\\=\left(x-1\right)\left(x+5\right)\end{array}[/tex]

Cubic equations must have 3 factors to get to the third degree, therefore (x-1)(x-3)(x+5)

please solve this equation and show work please tysm 3(g−7)=2(10+g)

Answers

Answer:

g=41

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

3(g−7)=2(10+g)

(3)(g)+(3)(−7)=(2)(10)+(2)(g)(Distribute)

3g+−21=20+2g

3g−21=2g+20

Step 2: Subtract 2g from both sides.

3g−21−2g=2g+20−2g

g−21=20

Step 3: Add 21 to both sides.

g−21+21=20+21

41

Step-by-step explanation:

3(g-7)=2(10+g)

3g-21=20+2g

3g-2g=20+21

g=41

Is this relation a function

Answers

Answer:

You can tell if a relation is a function if each input value only has ONE output value. Examples below

Step-by-step explanation:

17 times 0.0167. Can someone solve this step by step

Answers

Answer:

0.2839

Step-by-step explanation:

Can you tell me what part you are stuck on?

Answer:

0.2839

Step-by-step explanation:

-First, move the decimal over 4 places to the right to make 0.0167 into a whole number, which will turn into 167.

-Now, multiply 17 times 167 to get 2839.

-Finally, since the decimal from 0.0167 was moved 4 places to the right, it needs to be moved back 4 places to the left. Once it was moved back 4 places to the left, the answer should now be 0.2839

Hope this helps! :)

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