A relay race covers a distance of 2 1/2 miles. Each runner on the team will run 1/4 mile. How many runners are needed for the team to cover the total distance of the race?

Answers

Answer 1

Answer:

6

Step-by-step explanation:

Answer 2

10 runners

explanation:

1/4 x 10 = 2 1/2


Related Questions

(Please answer, 100 points)

Find the circumference of each of the following circles. Use 3.14 for π.

(The last one is 25 mi across.)

These were my answers, are they correct:

6a. 53.38
6b. 100.48
6c. 122.46
6d. 78.5

Answers

use the formula 2πr

106.76 300.962×3.14×(1/2)×39 = 122.4678.5

the c bit I did the whole process cuz the diameter is given and for the d bit i thought what you were trying to say is 25 diameter.

hope it helps and don't forget to put the units wherever necessary.!!!!

Worth 41 points!
A camp counselor buys lunch for her campers at a nearby fast food restaurant. On Monday, she purchased 5 hamburger meals and 6 chicken nugget meals, for a total of $39. On Thursday, she purchased 9 hamburger meals and 2 chicken meals, for a total of $35. Which pair of equations could be used to determine the cost of each type of meal?​

Answers

Answer:

4x+3y=23

Step-by-step explanation:

4x+3y=23

2x+6y=34 multiply equation by 2 to get x values equivalent, so

4x+12y=68 now subtract firs equation from this

-(4x+3y=23)

so 9y=45 and y=5

now find x:

4x+3(5)=23

4x+15=23

4x=8

x=2

So, hamburgers cost $2 and chicken nuggets $5.

don't spam!! complete answe= Brainliest answer​

Answers

Answer:

Step-by-step explanation:

Finding final velocity.

[tex]\boxed{v_{f}=v_{i} + at}\\\\v_{f} -- > final \ velocity\\\\v_{i} -- > Initial velocity[/tex]

a -> accelaration

t ---> time

[tex]v_{i} = 7 \ m/s[/tex]

a = 2 m/s²

t = 5 s

[tex]v_{f}= 7 + 2*5[/tex]

     = 7 + 10

     = 17 m/s

10) h = 5 m

g = -10m/s²

[tex]t =\sqrt{\dfrac{2*h}{g}}\\\\ =\sqrt{\dfrac{2*5}{10}}\\\\= \sqrt{\dfrac{10}{10}}\\\\= 1[/tex]

t = 1 sec

Simplify 2(-3n - 5) + 5n

Answers

Answer:

-1n-10

Step-by-step explanation:

EXPLANATION:

Use PEMDAS it will show u from where to start first and you will end up with the right result

PEMDAS : Parentheses, Exponents, Multiplication and Division, Addition and Subtraction

2(-3n-5) + 5n

distribute 2 in the parantheses

-6n-10+5n

-1n-10

What is the measure of one interior angle of a 26 gon?

Answers

[tex]\textit{sum of all interior angles in a polygon}\\\\ n\theta = 180(n~~ - ~~2) \begin{cases} n=\stackrel{\textit{number of}}{sides}\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ n=26 \end{cases}\implies (26)\theta =180(26~~ - ~~2) \\\\\\ 26\theta =180(24)\implies 26\theta =4320\implies \theta =\cfrac{4320}{26}\implies \theta \approx 166.15^o[/tex]

Between 3 pm and 6 pm the temperature dropped from 88 degrees to 60 degrees frond the percent of decrease

Answers

Answer:

31.81%

10.60% per hour

Step-by-step explanation:

88 - 60 = 28

28/88 = .31818181818

.31818181818 = 31.81%

.31818181818/3 = .10606060606

.10606060606 = 10.60%

Jacobey needs 32/3cups of milk to make one cheesecake. He is baking 4 cheesecakes for
the school bake sale. How many cups of milk does he need for the cheesecakes?

Answers

Answer: 14⅔

Step-by-step explanation: If he needs 3⅔ cups to make 1 cheese cake then he will need 11/3 ×4 cups to make 4 cakes

44/3 =14⅔

(Let me know if you mean 32/3 cups or 3⅔cups )

Find PNFNM

answer choices below

Answers

Answer:

The answer is C. HOPE THIS HELPS!

Step-by-step explanation:

PLS GIVE ME BRAINILIEST IT WOULD REALLY REALLY HELP ME!

WILL MARK BRAINLIST!!!

Answers

Answer:

[tex]3/4[/tex]

Step-by-step explanation:

We are asked to find the difference which means we will be using subtraction.

We are given two numbers to use [tex]4\frac{1}{12}[/tex] (Houston to Dallas) & [tex]3\frac{1}{3}[/tex] (San Antonio to Houston).

To be able to subtract, we need to have the same denominator on both fractions, which we can do by multiplying 1/3 by 4

[tex]\frac{1}{3} * 4=\frac{4}{12}[/tex]

now we can subtract the numbers and simplify!

[tex]4\frac{1}{12} -3\frac{4}{12} =\frac{9}{12} =\frac{3}{4}[/tex]

what is the solution of the system of equation? y=2x-3 , 4x-3y=31

Answers

Answer:

Use Substitution.

Plug in 2x-3 in place of y in the second equation.

4x - 3(2x-3) = 31

4x - 6x + 9 =31

           -9     -9

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

-2x=22 so x=-11

Then, y=2(-11)-3, so y=-25

So the solution would be (-11,-25).

Step-by-step explanation:

is the variable alone?

No

what is it attached to?

you always do adding or subtracting first so it is attached to 3

How is it attached?

by subtraction

what is the inverse operation?

it is addition

then all you do is the same thing but with multiplication or division

Hi!

We can solve this using the substitution method.

Given:

[tex]y=2x-3\\4x-3y=31[/tex]

Using the first question, we know that [tex]y[/tex] is equal to [tex]2x-3[/tex], so we can simply plug that value in to the second equation, like so:

[tex]4x-3(2x-3)=31[/tex]

Now, we can algebraically solve this for [tex]y[/tex]

[tex]4x-3(2x-3)=31[/tex]

Distribute.

[tex]4x-6x+9=31[/tex]

Add like terms.

[tex]-2x+9=31[/tex]

Subtract [tex]9[/tex] from both sides.

[tex]-2x=22[/tex]

Divide both sides by [tex]-2[/tex]

[tex]x=-11[/tex]

Now plug in that value to the first equation:

[tex]y=2(-11)-3[/tex]

Multiply.

[tex]y=-22-3[/tex]

Subtract.

[tex]y=-25[/tex]

The solution is (-11, -25)

The model is shaded to represent the remaining one-half of a cake. Three friends will each receive an equal amount of the remaining cake until it is all gone.







Which equation can be used to determine the fraction of the whole cake each friend will receive?

Answers

Answer:

The model is shaded to represent the remaining one-half of a cake. Three friends will each receive an equal amount of the remaining cake until it is all gone.

cake

8/7 as a mixed number​

Answers

Answer:

[tex]1\frac{1}{7}[/tex]

A water tank is in the shape of a cylinder with a height of 21 feet and a diameter of 8 feet. What is the volume, in cubic feet, of the water tank?

Answers

Answer:

1,055.04

Step-By-Step explanation:

Volume equals pi times radius squared times the hight.

You first calculate what the radius will be by dividing the diameter by two and then you procede to multiply the radius to a power of two which is the equvialent as multiplying it to the base number and then you multiply the then squared radius to pi and lastly multiply it by the hight and you have your answer.

[tex]\pi * (8x^{2}) * 21 \\\pi * (4x^{2}) * 21\\\pi * 16 * 21\\50.24 *21\\=1,055.04[/tex]

make u the subject of formula in the equation s=2(u+v)t

Answers

Answer

u = s/2t - v

Step-by-step explanation:

A toy manufacturing organization manufactures two types of toys A and B. Both the toys are sold at birr 25 and birr 20 respectively. There are 2000 resource units available every day from which the toy A requires 20 units while toy B requires 12 units. Both of these toys require a production time of 5 minutes. Total working hours are 9 hours a day. How much is the maximum profit?

Answers

Answer:

The answer is B I did this already

Which one is it? And what is the answer for x?? Please help ASAP!!

Answers

Answer:

see below

Step-by-step explanation:

sin 67 = opp/hyp = x/20

20 * sin 67 = x

Choose the method of pay that would result in the most earnings for one month on sales of $60,000. a. straight commission of 6% on all sales. b. monthly salary of $1,500 plus 3% commission on all sales. c. graduated commission of 4% on the first $50,000 in sales and 10% on anything over that. d. graduated commission of 5% on the first $40,000 in sales and 9% on anything over that. please select the best answer from the choices provided a b c d

Answers

The method of pay that would result in the most earnings is: Option d. graduated commission of 5% on the first $40,000 in sales and 9% on anything over that.

How to find the percentage from the total value?

Suppose the value of which a thing is expressed in percentage is "a'

Suppose the percent that considered thing is of "a" is b%

Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).

Thus, that thing in number is

[tex]\dfrac{a}{100} \times b[/tex]

We're specified that:

One month sales of $60,000 occurs.

Calculating the earnings from all the options:

Option a: straight commission of 6% on all sales.

That means, we get:
Earning = 6% of 60,000 = [tex]\dfrac{60000}{100} \times 6 = 3600[/tex] (in dollars)


Option b: monthly salary of $1,500 plus 3% commission on all sales.

That means:

Earning = 1500 + 3% of 60,000 = [tex]1500 +\dfrac{60000}{100} \times 3 = 1500 + 1800 = 3300[/tex] (in dollars).

Option c : graduated commission of 4% on the first $50,000 in sales and 10% on anything over that

That means, we get:

Earning = 4% of 50,000 + 10% of 10,000 (as total 60,000 dollars sales was done).

Earning = [tex]\dfrac{50000}{100} \times 4 + \dfrac{10000}{100} \times 10 = 2000 + 1000 = 3000[/tex] (in dollars)

Option d: graduated commission of 5% on the first $40,000 in sales and 9% on anything over that.

That means:

Earning = 5% of 40,000 + 9% of 20,000 (as 40000 + 20000 = 60000)

or, we get:

Earning = [tex]\dfrac{40000}{100} \times 5 + \dfrac{20000}{100} \times 9 = 2000 + 1800 = 3800[/tex] (in dollars).

Thus, option D provides the method for max earning.

Thus, the method of pay that would result in the most earnings is: Option d. graduated commission of 5% on the first $40,000 in sales and 9% on anything over that.

Learn more about percent here:

https://brainly.com/question/11549320

Answer:

D

Step-by-step explanation: i took the test

Sharon bought 4/5 pound of flour for $1. What is the cost of 1 whole pound of flour?​

Answers

Answer; 5/4

Step-by-step explanation:
First of, 4/5 pounds equals to $1 so they're asking us to find one pound. We first Cross multiply. 4/5 equal $1
1 =. $x
You will get one pound is equal to 4/5 x then you multiply 5 on both sides to get 5 equals 4X then you divide by 4 on both side to get 5/4 dollars and make sure your answer has the initial dollar$

What is Foil Method give atleast one example​

Answers

What is Foil Method?

A foil method is a technique where two or more binomials multiply.

FirstOuterInnerLastExample 1

[tex]\tt{(b + 3) (b + 7)}[/tex]

[tex]\tt{F: (b)(b) = b^2}[/tex]

[tex]\tt{O: (b)(7) = b7}[/tex]

[tex]\tt{I: (3)(b) = 3b}[/tex]

[tex]\tt{L:(3)(7) = 37}[/tex]

[tex] \tt{=b^2 +7b+3b+21}[/tex]

[tex]= \boxed{ \tt{b^2 +10b+2}}[/tex]

Example 2

[tex]\tt{(x + 3)^2}[/tex]

[tex]\tt{F: (x)(x) = x^2}[/tex]

[tex]\tt{O: (x)(3) = x3}[/tex]

[tex]\tt{I: (3)(x) = 3x}[/tex]

[tex]\tt{L:(3)(3) = 9}[/tex]

[tex] \tt{=x^2 +3x+3x+9}[/tex]

[tex] = \boxed{ \tt{x^2 +6x+9}}[/tex]

What is the length of the dotted line? round to the nearest hundredth. 2.50 in. 3.75 in. 5.00 in. 6.25 in.

Answers

The measure of the length of the dotted line is 3.75 inches. Then the correct option is B.

What is a hexagon?

The hexagon is a two-dimensional geometry with six sides. And the polygon's sides are all straight lines that are joined side by side.

The perimeter of the hexagon is 7.5 inches.

Then the length of the hexagon will be

[tex]\rm 7.5 = 6x\\\\x \ \ = 1.25[/tex]

The length of the hexagon is 1.25 inches.

Then the diagonal length of the hexagon will be

y = 2 × 1.25

y = 2.5

The diagonal length of the hexagon is 2.5 inches.

Then the length of the dotted line is 3.75 inches.

More about the hexagon link is given below.

https://brainly.com/question/3295271

Consider the right triangle shown.
What is the length of the other leg?
Round your answer to the nearest tenth

Answers

Basic Trigonometric Ratios

These are the three basic trigonometric ratios:

The sine ratio: [tex]\sin(\theta)=\dfrac{opposite}{hypotenuse}[/tex]The cosine ratio: [tex]\cos(\theta)=\dfrac{adjacent}{hypotenuse}[/tex]The rangent ratio: [tex]\tan(\theta)=\dfrac{opposite}{adjacent}[/tex]

Here, 'opposite' or adjacent are referring to the legs in relation to one of the interior angles of the triangle, θ.

We can use these ratios to help us solve for side lengths or angles, depending on what information is given to us and what information we must solve for.

Solving the Question

We're given:

The indicated angle (θ) measures 70° The adjacent side measures 5.7 unitsWe must solve for the other leg, which is the 'opposite' side

Because this question involves the adjacent and the opposite, we can use the tangent ratio to find the answer.

[tex]\tan(\theta)=\dfrac{opposite}{adjacent}[/tex]

⇒ Plug in the given information:

[tex]\tan(70^\circ)=\dfrac{opposite}{5.7}[/tex]

⇒ Multiply both sides by 5.7 to isolate 'opposite:

[tex]5.7\tan(70^\circ)=opposite\\opposite = 15.66062\dots[/tex]

⇒ Round to the nearest tenth:

[tex]opposite=15.7[/tex]

Answer

The length of the other leg is 15.7 units.

For which equation is 0 not a solution?

x - 5 = 4
6 x + 4 = 4
3 x = 0
x + 9 = 9

Answers

I think its the third one

1 - 5 = 4
6 x 0 + 4 = 4
3 x 0 = 0
0 + 9 = 9

root 3 + root 27 - 12 upon root 3 + 6 upon root 3​

Answers

Answer:

2√3

Step-by-step explanation:

root 27

= √27

= 3√3

12 upon root 3

= 12 / √3

= ( 12 / √3 ) x ( √3 / √3 )

= ( 12 x √3 ) / ( √3 x √3 )

= 12√3 / 3

= 4√3

6 upon √3

= 6 / √3

=  ( 6 / √3 ) x ( √3 / √3 )

= ( 6 x √3 ) / ( √3 x √3 )

= 6√3 / 3

= 2√3

root 3 = √3

root 3 + root 27 - 12 upon root 3 + 6 upon root 3

= √3 + 3√3 - 4√3 + 2√3

= 4√3 - 4√3 + 2√3

= 2√3

Answer:

2√3

Step-by-step explanation:

Our equation :

[tex]\sqrt{3} + \sqrt{27} - \frac{12}{\sqrt{3} } + \frac{6}{\sqrt{3} }[/tex]

Simplifying

[tex]\sqrt{3} + \sqrt{9 *3} - \frac{12\sqrt{3} }{\sqrt{3}*\sqrt{3} } + \frac{6\sqrt{3} }{\sqrt{3}*\sqrt{3} }[/tex][tex]\sqrt{3}+3\sqrt{3} - \frac{12\sqrt{3} }{3}+\frac{6\sqrt{3} }{3}[/tex][tex]4\sqrt{3}-4\sqrt{3}+2\sqrt{3}[/tex]2√3

Carmen earns 3% a year on money in her savings account. She had $354 in her account last year how much interest did she earn

Answers

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{3\% of 354}}{\left( \cfrac{3}{100} \right)354}\implies 10.62[/tex]

Find the 12th term of the geometric sequence 2, -8, 32,

Answers

Answer:

what kind of term is this

Step-by-step explanation:

subtract R from 6. Then add 3

Answers

3 it is 3 I am pretty sure of it

HELP PLEASE ILL GIVE THE BRANLIEST THING IF U DO, PLEASEE

Answers

Answer:

The y-intercept is 5, and the slope is -3/2, y=5

Step-by-step explanation:

A train travels 150 miles in 3 hours. At this same rate, how many miles will it travel in 8 hours?

Answers

Answer:

400 miles

Step-by-step explanation:

150---3

  x --- 8

x= (150)(8) / 3 = 1200/3 = 400

Hope this helps

Answer:

x=400 miles

Step-by-step explanation:

can someone help me please

Answers

Answer:

plug the 5 into the function

f(5)=(5)^2-5

f(5)= 25-5

f(5)=20

Step-by-step explanation:

Answer:

f(5) = 20

Step-by-step explanation:

so, we're going to plug in 5 as our x value, and the equation becomes:

f(5) = [tex](5)^{2}[/tex] - (5)

now we'll simplify

f(5) = 25 - 5

now solve...

f(5) = 20

Milani's teacher draws students names at random, calls on the student, and replaces the name so that students know they should always be prepared to respond. There are 202020 students in Milani's class. Let XXX be the number of names it takes for the teacher to draw Milani's name.
Find the probability that the teacher first draws Milani's name as the 7^{\text{th}}7
th
7, start superscript, start text, t, h, end text, end superscript name.
You may round your answer to the nearest hundredth.
P(X=7)=P(X=7)=

Answers

Using the binomial distribution, it is found that there is a 0.0368 = 3.68% probability that the teacher first draws Milani's name as the 7th student.

What is the binomial distribution formula?

The formula is:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

x is the number of successes.n is the number of trials.p is the probability of a success on a single trial.

In this problem, there are 20 students, hence in each question the probability that Milani's name is called is p = 1/20 = 0.05.

The probability that the teacher first draws Milani's name as the 7th student is P(X = 0) when n = 6(none during the first six) multiplied by 0.05(called during the seventh), hence:

P(X = 7) = (0.95)^6 x 0.05 = 0.0368.

0.0368 = 3.68% probability that the teacher first draws Milani's name as the 7th student.

More can be learned about the binomial distribution at https://brainly.com/question/24863377

#SPJ1

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