Find the unit rate. 5/8 mile in 1/4 hour

Answers

Answer 1
Answer

The unit rate in miles per hour is 2.5 mph.

Step-by-step explanation:

1/4 x 4 = 1 hour
5/8 x 4 = miles that would have been covered in one hour
20/8 of a mile would have been covered in one hour
20/8 = 2.5
2.5 miles would have been covered in an hour, with which his speed was 2.5 mph.

Related Questions

Answer the question above ​

Answers

Answer:

[tex]tan\:\left(\frac{5\pi }{6}\right)=tan\left(-\frac{\pi }{6}\right)[/tex]

Option A is correct.

Step-by-step explanation:

We need to find equivalent of [tex]tan\:\left(\frac{5\pi }{6}\right)[/tex]

First we solve [tex]tan\:\left(\frac{5\pi }{6}\right)[/tex]

We get [tex]-\frac{1}{\sqrt{3} }[/tex]

Now checking all the options.

Option A: [tex]tan\:(-\frac{\pi}{6} )[/tex]

Solving [tex]tan\left(-\frac{\pi }{6}\right)\: we\: get\: \mathbf{ -\frac{1}{\sqrt{3} }}[/tex]

Option B: [tex]tan\left(\frac{7\pi }{6}\right)[/tex]

Solving [tex]tan\left(\frac{7\pi }{6}\right)\: we\: get\: \mathbf{\frac{1}{\sqrt{3} }}[/tex]

Option C: [tex]cot\left(\frac{5\pi }{6}\right)[/tex]

Solving [tex]cot\left(\frac{5\pi }{6}\right)\:we\:get\:\mathbf{-\sqrt{3} }[/tex]

Option D : [tex]tan\left(-\frac{5\pi }{6}\right)[/tex]

Solving [tex]tan\left(-\frac{5\pi }{6}\right) \:we\:get:\mathbf{\frac{1}{\sqrt{3} } }[/tex]

So, looking at the options, only Option A has the same result as given question

So, [tex]tan\:\left(\frac{5\pi }{6}\right)=tan\left(-\frac{\pi }{6}\right)[/tex]

Option A is correct.

1.6[7-4m]=30
2.[5+6a]-3=8

Answers

Answer:

(a,m=(-1499/1812, 1/2)

Step-by-step explanation:

hope this helps!

In which quadrant are the following points in

Answers

Answer: the following points are in Quadrant 3

Solve for the following equation
R-(-5)=-9

Answers

r=-14

hope this helps:)
The answer is R= -14

PLZ HELP ;(((
A line passes through the points (k + 10,-2k – 1) and (2,9) and has a y-intercept
of 10. Find the value of k and the equation of the line.
solve for all 3 equations

Answers

Answer:

The value of k is -4 and the equation of the line is [tex]y =-\frac{1}{2}\cdot x +10[/tex].

Step-by-step explanation:

The equation of the line is defined by the following formula:

[tex]y = m\cdot x + b[/tex] (1)

Where:

[tex]x[/tex] - Independent variable.

[tex]y[/tex] - Dependent variable.

[tex]b[/tex] - y-Intercept.

[tex]m[/tex] - Slope.

In addition, the slope of the equation of the line ([tex]m[/tex]) can be known from two distinct points:

[tex]m = \frac{y-y_{o}}{x-x_{o}}[/tex] (2)

Where [tex]x_{o}[/tex] and [tex]y_{o}[/tex] are the coordinates of the reference point.

By applying (2) in (1), we derive the resulting expression:

[tex]y = \frac{y-y_{o}}{x-x_{o}}\cdot x + b[/tex]

[tex]y\cdot (x-x_{o}) = (y-y_{o})\cdot x + b\cdot (x-x_{o})[/tex]

[tex]x\cdot y -y\cdot x_{o} = x\cdot y -x\cdot y_{o}+b\cdot x -b\cdot x_{o}[/tex]

[tex](b-y)\cdot x_{o} = b\cdot x -x\cdot y_{o}[/tex]

[tex](b-y)\cdot x_{o} +x\cdot y_{o} = b\cdot x[/tex] (3)

If we know that [tex]b = 10[/tex], [tex]x = 2[/tex], [tex]y = 9[/tex], [tex]x_{o} = k+10[/tex] and [tex]y_{o} = -2\cdot k -1[/tex], then the value of [tex]k[/tex] is:

[tex](10-9)\cdot (k+10)+2\cdot (-2\cdot k -1) = (10)\cdot (2)[/tex]

[tex]k+10 -4\cdot k -2 = 20[/tex]

[tex]-3\cdot k +8 = 20[/tex]

[tex]-3\cdot k = 12[/tex]

[tex]k = -4[/tex]

The value of the slope is:

[tex]m = \frac{9-7}{2-6}[/tex]

[tex]m = -\frac{1}{2}[/tex]

The equation of the line is [tex]y =-\frac{1}{2}\cdot x +10[/tex].

Two friends each ate 1/2 of a pizza

Answers

And......................?????

So they both had 1/4 each

(4x)° (5x+18)° 81° solve for x

Answers

Answer: If you see my picture and you will see my answer

Step-by-step explanation: Hope this help

Which fact is related to 12 = 3 = 4?
I need help

Answers

Answer:

factors

Step-by-step explanation:

1. A hummingbird weighed w ounces. One day the hummingbird drank 8 times its weight

in water and ate half its weight in food. Which equation can be used to find t, the

combined weight of the water and the food, In ounces, that the hummingbird had on this

day?

O

t - W + 8

2

O

t-w + 8 +

NI

O

t =8w+

2

w

t2w+

8

CLEAR ALL

Answers

Answer:

t = 8w + w/2

Step-by-step explanation:

Given that :

Weight of bird = w

Amount of water consumed = 8*w = 8w

Amount of food ate = 0.5*w = 1/2w

Hence, the combined weight of water and food (t) consumed by the humming bird :

t = amount of water consumed + amount of food ate

t = 8w + w/2

Translate and solve: 58% of what number is 145?

Answers

Answer:

58% of 250 is 145.

Step-by-step explanation:

145 * 100/58

= 250

Answer:

250

Step-by-step explanation:

PLEASE HELP !!! i need to know the surface area

Answers

Answer:

244 ft²

Step-by-step explanation:

Rectangle Base Area: 6•4=24

Rectangle Side Area: 8•10=80; 80•2(sides) = 160

Triangle Sides Area: (10•6=60); 60/2(area of triangle) = 30; 30•2(sides)=60*

*Technically can skip the divide by two and then multiply by two, since they cancel out*

(Area of Triangle Formula= 1/2bh)

Add areas together: 24+160+60= 244 ft²

WILL GIVE BRAINIEST AND 100 POINTS TO CORRECT ANSWER
A parallelogram is shown below:

Part A: What is the area of the parallelogram? Show your work. (5 points)

Part B: How can you decompose this parallelogram into two triangles? If this parallelogram was decomposed into two triangles, what would be the area of each triangle? (5 points)

Answers

Answer: part a: area = bh part b: split it on its diagonals

Step-by-step explanation:

There are 10 girls for every 12 boys. If there are 50 girls,
how many boys are there?
O a) 60
Ob) 12
O c) 52

d) 62

Answers

We know that 10 x ❺ = 50

So we have to do 12 x ❺ = 60

So the answer is a) 60

Answer: A

why does this keep changing to C????

Step-by-step explanation:

10x5 since there are 50 girls

so we would need to multiply 12 by the same number, so the answer is 60.

Given that z is a standard normal random variable, find the value of z for each situation. a. The area to the right of z is 0.01.

Answers

Answer: =1.34

Step-by-step explanation:

In standard density curve

P(Z<z) = Area left of z, P(Z>z) = area right of z.

P(Z<z) +P(Z>z) =1

Given:  z is a standard normal random variable.

To find : value of z if rea to the right of z is 0.01.

i.e. P(Z>z) =0.01

P(Z<z) =1-0.01 = 0.09

from z-score table, z value for this is 1.34.

Hence, z= 1.34

which expression is equivalent to (5^-2) (5^-1)​

Answers

Answer:

C) [tex]\frac{1}{125}[/tex]

Step-by-step explanation:

on edg

what has a quotiont of 9 and a reminder of 5

Answers

Answer:

Division problems with quotient of 9 and remainder of 5 could include:-

23/2 = 9 + 5/2

32/3 = 9 + 5/3

41/4 = 9 + 5/4

50/4 = 9 + 5/5

But you could justifiably object that more natural forms for the answers would be 11 + 1/2, 10 + 1/3, 10 + 1/4 and 10 , and so you may well prefer such as

59/6 = 9 + 5/6

77/8 = 9 + 5/8  ….. and so on

As you can see the general pattern is (9n + 5)/n = 9 + 5/n

You can now make up your own examples, like 212/23 = 9 + 5/23

Step-by-step explanation:

PLZ HELP!!! I need help ASAP

Answers

You distribute the negative in the second equation

Answer:

The two problems/expressions are the same because of the negative and positive rule.

Step-by-step explanation:

+ - = -

- + = -

- - = +

+ + = +

Can you help me with these 5 questions please?!​

Answers

Answer:

1. A 2. 9$ 3. C 4. C 5. Because you can see the prices and the difference between prices

Rate pls

PLS PLS PLS PLS HELP!

Determine whether each expression is equivalent to (10 X 18) + (10 X s).
Choose Yes or No for each expression.
A 190 XS
B 20 x 18s
C 180 + 10s
(10 + 10) x (18+ 8)
D
E 10(18+ s)

Answers

Answer:

c

Step-by-step explanation:

that's the only one i could get i think i dont know im not good at math..... sorry if i didn't help

Write an equation to show " buying 2 boxes of crayons and $4.00 each."

Answers

Answer:

4+4is the answer hope ot helps

F(-2)=x^2-3x+4; find f(-2)

Answers

-2^2-3(-2)+4= 6 double check with the calculator!

Enter the resulting inequality.
12>-4; Subtract 12 from both sides.
The resulting inequality is

Answers

Answer:

0>-16

Step-by-step explanation:

PLEASE HELP I WILL GET DETENTION

Answers

Answer:

b) 12 is right answer

I hope it's helps you

Share 1 km in the ratio 2:3

Answers

1km = 1000m

2 + 3 = 5
1000/5 = 200

200x2 = 400
200x3 = 600

Answer:
400:600 (in meters)
OR
0.4:0.6 (in kilometres)

Please answer thank you !!!!!

Answers

Answer:

-7x^3+8x^2+x-5

Step-by-step explanation:

We are simply adding the two functions:

f(x) + g(x) = (2x^2-5x^3+x-7) + (6x^2-2x^3+2) = 8x^2-7x^3+x-5 = -7x^3+8x^2+x-5

Write the equation of the line in slope-intercept form.

Answers

Answer: y=-3/4x

Step-by-step explanation:

The slope intercept form is when you use the equation y=mx+b (m is the slope and b is the y-intercept). First, let's find the y intercept. The y intercept is what y would be if x is 0. here, you can see that this particular line passes through the origin. So, the y-intercept is zero because when x passes through zero, y is also zero. Next, let's find the slope. The formula for slope is change in y/change in x. Let's randomly choose 2 points off this line. To make this a thousand times easier for us, let's choose the points (-4, 3) and (4, -3). Now, to find the change in y, let's find the difference between the 2 y coordinates we have chosen. To do this we just need to do -3-3, which gives us -6. Now let's find the change in x. To do this we will do the same thing we did to find the change in y but this time we'll use the x coordinates. We will do 4-(-4), which simplifies to 8. Now, we're almost done. Just divide the change in y by the change in x. You will get -6/8. This can be simplified to -3/4. So now we know our slope is -3/4 and our y-intercept is 0. Let's insert them into the equation. y=-3/4x+0. We know that we can just get rid of that 0 because 0 literally means nothing. So our final answer is y=-3/4x. Hope this helps!

An experiment was conducted as a one-way factorial design with K sample means, each based on n scores. What is the number of degrees of freedom for the between mean squares

Answers

Answer:

The mean squares has d.f (n-1)

Step-by-step explanation:

The total number of degrees of freedom is n-1 as there is only one restriction of computing the grand mean. The d.f for k samples is k-1 beacuase the mean of the sample means must equal the grand mean. Similarly , the d.f for within SS is n-k , due to the k restrictions of computing the k sample means. Hence we find that

Total df= Within df + Between df

n-1=  (n-k)+(k-1)

Between SS has (k-1) d.f

Within SS has (n-k) d.f

These two quantities are known as mean squares and has d.f (n-1)

Wspólny Ułamek 18 i 6

Answers

Answer:

Step-by-step explanation:Numerator

Denominator

What is 18 / 6 simplified?

3⁄1

What is 18 / 6 as a decimal?

3

What is 18 / 6 as a mixed number?

18⁄6 = 3

What is 18 / 6 spelled out?

eighteen sixths

What is the exact value of cos(11pi/12)

Answers

9514 1404 393

Answer:

  [tex]\text{(a)} \quad -\dfrac{\sqrt{2+ \sqrt{3}}}{2}[/tex]

Step-by-step explanation:

The angle is near π, so the cosine value is a negative value near -1. This means the value under the numerator radical must be slightly less than 4. The only answer choice that makes any sense is the first choice.

The value of the cosine is ...

  cos(11π/12) ≈ -0.9659

The values of the answer choices are ...

  a) -0.9659 . . . . matches the required value

  b) -0.2588

  c) 0.2588

  d) 0.9659

_____

You could use half-angle or angle sum formulas to figure this exactly, but it is much easier to make a multiple-choice selection based on your general knowledge of the cosine function and √3 (≈1.73).

Answer:a

Step-by-step explanation:

Edge:)

Write the Linear Equation given:
1. Slope = 4; y-intercept = -5
2. Slope = 5; y-intercept = 3
3. Slope = -2; y-int; y-intercept = -8
4. Slope = 2; y-intercept = 2
5. Slope = -%; y-intercept = -2
6. Slope = /; y-intercept = 7
7. Slope = -3; y-intercept = ?
8. Slope = %; y-intercept = 10
9. Slope = -2; y-intercept = -1
10.Slope = -2; y-intercept = -3
Answers:

Answers

Answer:

Either a tangent line or a line parallel to the axis of symmetry will do.

A standard high school parabola has a vertical or horizontal axis of symmetry, so a line of the form  x=k  or  y=k  is the easiest way

hope it helps you

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