Mathematics College

(01.01 LC)An athlete took forward and backward steps of equal distance to warm up before his race. After taking 10 steps total, he was back at his starting position. How many steps did the athlete take in the forward and backward directions?

I would love the help.

Answers

Answer 1

9514 1404 393

Answer:

5 steps forward5 steps backward

Step-by-step explanation:

In order for the total displacement to be zero, the amount of forward displacement must be equal and opposite to the amount of backward displacement. Since the steps are the same length, they must be equal in number.

Half of the 10 steps were forward, and the other half were backward.

  5 steps forward; 5 steps backward.

_____

Additional comment

Math develops from an effort to model the real world. It would probably give you some insight into this problem if you were to physically take some steps to see how many forward and backward you would need to end where you start.

Related Questions

If you can make 12 cookies in 10 minutes, how long does it take to make 200 cookies

Answers

Answer:

12 cookies = 10minutes

200 cookies = x minutes

cross multiply

200×10 = 12x

2000= 12x

divide both sides by 12

X = 166.67 minutes

Step-by-step explanation:

that is 200 cookies will take 166.67 minutes

Answer:

[tex]12 \: cookies \: in \: 10 \: minut \: \\ 1 \: cookie \: in \: \frac{10}{12} = \frac{5}{6} \: minute \\ for \: 200 \: cookies = \frac{5}{6} \times 200 = 166.67 \: minute \\ thank \: you[/tex]

Using BODMAS, I think but please help!!!

And show the steps

Answers

Answer:

= 12

Step-by-step explanation:

2 × {4 ÷ 2 -5}^2 -6

Solve the brackets first

2 × { 2 -5}^2 -6

2 ×{-3 }^2 -6

2 × 9 -6

18 -6

= 12

Step-by-step explanation:

[ 4 ÷ 2 - 5 ] ² - 6

(2 - 5)² - 6

(-3)² - 6

9 - 6

= 3

f(x)=2x
2
−x+9
\text{Find }f(4)
Find f(4)

Answers

Answer:

37

Step-by-step explanation:

f(x)=2x²−x+9

f(4)= 2(4)²-4+9

= 32-4+9

= 37

A rectangle has a height of 3 cm and width of 5cm. A proportional rectangle has a height of 12cm. What would be the width?

Answers

The ratio will be same

Let width be x

[tex]\\ \sf\longmapsto \dfrac{3}{5}=\dfrac{12}{x}[/tex]

[tex]\\ \sf\longmapsto 3x=5(12)[/tex]

[tex]\\ \sf\longmapsto 3x=60[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{60}{3}[/tex]

[tex]\\ \sf\longmapsto x=20cm[/tex]

Answer:

width=20 cm

Step-by-step explanation:

h=3 cm

w=5 cm

proportional rectangle:

   height=12

Here height has become 12 by multiplying 3 by 4.Therefore to find the width do the same thing.

 width=5*4

          =20 cm

5. The graph shows the relationship between the number of cups of flour and the propos
number of cups of sugar in Lin's favorite brownie recipe.
3
cups of flour
1
.
1 2 3 4 5
cups of sugar
The table shows the amounts of flour and sugar needed for Noah's favorite brownie
recipe.

Answers

Answer:

what are you confused on??

Finding Ordered Pairs from an Equation For the equation below, x is the input and y is the output. Choose the ordered pair that makes a true statement for the equation.​

Answers

Answer: The answer is dddddd

Step-by-step explanation:

fbfgzgsdgrhzdfgreyty

.Si un juguete vale s/ 95 me lo rebajan en s/ 27.¿Cuanto me costara?

Answers

Answer:

Vale 95.

Me rebajan 27.

95-27=68

Me costará 68.

Step-by-step explanation:

If f(x) = 3x +5/x what is f(a+2)?

Answers

I was a little confused so I solve it two different ways and got different answers so pls read through this carefully

Substitute a+2 instead of x
That would look something like: 3(a+2)+5/a+2
Now simplify:
3a+6+5/a+2
3a+11/a+2

3(a+2) +5/(a+2)
3a+6 + 5/(a+2)
LCM: (3a(a+2) + 6(a+2) +5)/a+2
So your answer will be (3a^2 + 12a + 17)/(a+2)

I hope this helps :)



How can powers of ten be used to find the product of 40 x 10^5?

Enter your answers In the boxes as whole numbers

You can add __ zeros to the end of the number 40 to get the product of __.

Answers

Answer:

You can add 6 zeros to the end of the number 40 to get the product of 40 x 10^5.

Step-by-step explanation:

You can add 6 zeros to the end of the number 40 to get the product of 40×10⁵.

What are Arithmetic operations?

Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operation is called the arithmetic operator.

Operators which let do a basic mathematical calculation

+ Addition operation: Adds values on either side of the operator.

For example 12 + 2 = 14

- Subtraction operation: Subtracts the right-hand operand from the left-hand operand.

for example 12 -2 = 10

* Multiplication operation: Multiplies values on either side of the operator

For example 12*2 = 24

We have powers of ten that are used to determine the product of 40×10⁵.

So, the product 40×10⁵ can be obtained by appending 6 zeros to the end of the integer 40.

Hence, You can add 6 zeros to the end of the number 40 to get the product of 40×10⁵.

Learn more about the arithmetic operations here:

brainly.com/question/25834626

#SPJ2

please help!!!!!!!!!​

Answers

110 feet of fencing is needed to make four gardens

Answer:

110

Step-by-step explanation:

First, find the perimeter of 1 fence.

55/2 or [tex]27\frac{1}{2}[/tex]

Multiply by the number of fences (4)

110

I hope this helps!

please help will give you brainly

Answers

Answer:

-1/2

Step-by-step explanation:

3(y+13 )=36

y+13=12

y=-1

(1/2) x -1 = -1/2

3(y + 13) = 36

Distribute the 3

3y + 39 = 36

Subtract 39 from both sides.

3y = -3

Divide both sides by 3

y = -1

1/2y = 1/2(-1) = -1/2

solve this equation by using the look inside method to rewrite the problem

-81 = 3(5 - 4r)

Answers

－81＝3(5－4r)
27＝－(5－4r)
27＝－5＋4r
－4r＝－5－27
－4r＝－32
r＝8

Hope my answer helped u :)

thx for School Practice & Problem Solving
Assignment is past due (OS/
1.2.PS.17
Question Help
n
Challenge you are given the numbers, 39+n, 3 vn+144. Find the smallest value of n so that
all of the numbers in the set are natural numbers.
The smallest value of n that makes all of the numbers in set natural numbers is
를
va
Enter your answer in the answer box and then click Check Answer.
All parts showing
Clear All
CE

Answers

9514 1404 393

Answer:

  n = 25

Step-by-step explanation:

The smallest perfect square larger than 144 = 12² is 169 = 13². As it happens, the difference of these squares is 25, a number divisible by 5.

So n=25 will make all of the expressions have values that are natural numbers.

_____

n = 0 would make all of them integers, but 0/5 = 0 is not a natural number.

14 644 552 + 25 625 568




ayud estoy haciendo tarea :3

Answers

Answer:

14644552+25625568

=40270120

Step-by-step explanation:

is right answer

Which equation matches the line shown on the graph below?

Answers

ANSWER: A

count rise/run. the 0 goes 2 up and 3 over to the next point making that your slope
The equation that matches the line shown on the graph is a

Alix is 6 inches shorter thelan Ben. Alix is p inches tall. Write an expression to show how tall Ben is

Answers

Answer:

p+6

Step-by-step explanation:

the perimeter of a rectangle if the width is w centimeters and the length is 3 cm more than twice the width

Answers

L being the length, W being the width.

So:

if the Length is 8cm more than twice the width, we have:

2W+8

so it's:

perimeter of a rectange = 2(2W+8)+2W

You asked me not to simplify it, so that should be your answer.

Please Help Please !!!!!!!

Answers

Answer:

I wish I could but I think its c

It’s B! I would tell you how I got the answer but I can tell your in a rush

Needing some help for my online class thanks

Answers

Answer:

[tex]y=1/2x+2[/tex]

Step-by-step explanation:

Know that: [tex]y=mx+b[/tex]

Starting for (0,0) count how many times you go up to the marked line (which is 2)

[tex]y=1/2x+2[/tex]

The [+] 2 is where you would start off at on the graph, with 1/2 being the slope go up one and over two.

What is m∠A? help haha

Answers

I’m just going to explain how I got my answer because it might help you understand for any future problems you have like this!!

So in this case, AEB is a mirrored dilation, or for easier terms, smaller twin, of CED, so if AEB was enlarged to the same size as CED, all the angle sizes would be the same, so we have to find the dilation factor of AEB. The dilation factor is basically just how many times smaller AEB is than CED. To do this, we’re going to take a similar angle measurement from both and divide them. So, angle ABE, and angle EDC would be the same angle, so we’re going to take those measurements, so 35 divided by 18 to get 1.94. That means 1.94 would be our dilation factor. In order to find angle a, we’re going to take it’s matching angle measurement on the opposite figure, which would be angle ECD and divide that by 1.94, so 43/1.94 which would give you around 22. The actual answer was like 22.164, but I would just round to 22!! Your final answer would be A= 22 degrees!! Apologies if this is wrong, I tried my best!!

Find the area of this triangle. Round to the nearest tenth. 8m, 62°, 12m.

Answers

9514 1404 393

Answer:

  42.4 m²

Step-by-step explanation:

The area can be found from the formula ...

  Area = 1/2ab·sin(C)

  Area = (1/2)(8 m)(12 m)sin(62°) ≈ 42.4 m²

Use the number line below, where RS = 4y + 2, ST = 3y + 7, and RT = 44.
a. What is the value of y?
b. Find RS and ST.

Answers

Answer:

Y = 5

Step-by-step explanation:

RT = RS + ST

44 = 4y + 2 + 3y + 7

44 -2 -7 = 7y

35 = 7y

y = 5

K = [ 14 -13 0 3 8 -1 -10 -2 5 ] find the determinant of K

Answers

I suppose K is the matrix

[tex]K = \begin{bmatrix}14 & -13 & 0 \\ 3 & 8 & -1 \\ -10 & -2 & 5\end{bmatrix}[/tex]

To compute det(K), you can use a simple cofactor expansion along the first row:

[tex]\det(K) = 14\times\det\begin{bmatrix}8 & -1 \\-2 & 5\end{bmatrix} - (-13)\times\det\begin{bmatrix}3 & -1 \\ -10 & 5\end{bmatrix} + 0\times\det\begin{bmatrix}3 & 8 \\ -10 & -2\end{bmatrix} \\\\ \det(K) = 14\times(8\times5-(-1)\times(-2)) + 13\times(3\times5-(-1)\times(-10)) + 0 \\\\ \det(K) = 14\times38 + 13\times5 = \boxed{597}[/tex]

Please help! I’ll give brainliest to whoever answers also! Thank you!

Answers

Answer:

450 football

liked 625

didnt like 175

sorry if i didnt explain it right didnt understand how the stated the quetion

Malachy rolls a fair dice 168 times.
How many times would Malachy
expect to roll an even number?

Answers

Step-by-step explanation:

no of even numbers=84

84/168

1/2

plsss mark brainliesttt

What is the fraction in simplest form?

14/16


79

28/32

78

7/16

Answers

Answer:

7/8

Step-by-step explanation:

Divide the top and bottom by 2.

14 / 2 = 7

16 / 2 = 8

7/8

evaluate the expression -(5/7)^0

Answers

Answer:

1

Step-by-step explanation:

Josefina's check at Sun Bistro is $26.70. In order to leave a 24% tip, how much should she pay? Round to the nearest cent.

Answers

Answer:

33.11 hope this helps

Step-by-step explanation:

she needs to pay $33.108 In order to leave a 24 percent tip.

What is ratio?

The ratio can be defined as the number that can be used to represent one quantity as a percentage of another. Only when the two numbers in a ratio have the same unit can they be compared. Ratios are used to compare two objects.

Given, Josefina's check at Sun Bistro is $26.70. she wants to leave a 24% tip

Bill of josefina = 26.70

Bill after 24% tip = 26.70 * (1 + 24%)

Bill after 24% tip = 26.70 * 1.24

Bill after 24% tip = 33.108

Therefore, In order to leave a 24% tip she needs to pay $33.108.

Learn more about ratios here:

https://brainly.com/question/13419413

#SPJ2




Select two ratios that are equivalent to 27: 9.
Choose 2 answers:

Answers

Answer:

1. 9:3

2. 3:1

Step-by-step explanation:

Hope it really helps you

Find the coordinates of the vertices of each figure after the given transformation.
dilation of 2.5 about the origin
Q(-1,-1), R(-2, 1), S(0, 2), T(2,0)

Answers

Step-by-step explanation:

Q(-1,-1), R(-2, 1), S(0, 2), T(2,0)

after dilation, all the numbers should be multiplied by 2.5.

so, the correct answer is d.

Q'(-2.5 ,-2.5), R'(-5, 2.5), S'(0, 5), T'(5,0)

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