anna is biking at x miles per hour. sara bikes at 10 mi/h. which expression represents the average of anna’s and sara’s speeds?

Answers

Answer 1

Step-by-step explanation:

It is given that,

Speed of Anna is x miles/hour

Speed of Sara is 10 mi/h

We need to find an expression that represents the average of Anna's and Sara's speeds. Average of two objects is given by :

[tex]v=\dfrac{v_1+v_2}{2}[/tex]

ATQ,

[tex]v=\dfrac{x+10}{2}[/tex]

The above expression represents the average speed of Anna and Sara.


Related Questions

Find X and HM, M is the midpoint of HQ

Answers

Answer:

Step-by-step explanation:

4x + 2 = x + 11

3x + 2 = 11

3x = 9

x = 3

4(3)+2= 12+2 = 14

3+11= 14

14+14= 28=HQ

Ms. Gantt has a $15 gift card to Starbucks. She buys 2 muffins for $2.65 each, 2 hot chocolates for $1.79 each, and a juice for $3.05. How much remains on her gift card? Help please I will mark you brainiest.

Answers

Answer:

Remains on her gift card:

$3.07

Step-by-step explanation:

15 - ((2*2.65) + (2*1.79) + (1*3.05))

= 15 - (5.3 + 3.58 + 3.05)

= 15 - 11.93

= 3.07

Remains on her gift card:

$3.07

Point C lies on BD, If BC = 52.39 mm and
CD = 21.83 mm, what is the length of BD?
37.11 mm
15.28 mm
B) 30.56 mm
74.22 mm

Answers

I think the answer is B.

The length of the straight line → BD is 74.22 mm.

What is a line segment?

A line segment is a piece or part of a line having two endpoints. Unlike a line, a line segment has a definite length.

Given is a line BD such that point C lies on BD. Also, BC = 52.39 mm and

CD = 21.83 mm.

We can say that for a straight line -

BD = BC + CD

The given measurements are -

BC = 52.39 mm

CD = 21.83 mm

Substituting the values, we get -

BD = 52.39 + 21.83

BD = 74.22 mm

Therefore, the length of the straight line → BD is 74.22 mm.

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John has gross biweekly earnings of $743.61. By claiming 1 more withholding allowance, John would have $19 more in his take home pay. How many withholding allowances does John currently claim?

Answers

Answer:

Total withholding allowances are 39.

Step-by-step explanation:

Given the gross earning of John = $743.61

It is given that 1 withholding allowance = $19

Now we have to find the total number of withholding allowances. Here, the number of withholding allowances can be determined by dividing the total earnings with $19.

Number of withholding allowances = 743.61 / 19 = 39.14 or 39 (round off).

In a jar there are red jelly beans and green jelly beans. In how many ways can you pick red jelly beans and the same number of green jelly​ beans?

Answers

Complete Question:

In a jar there are 19 red jelly beans and 10 green jelly beans. In how many ways can you pick 4 red jelly beans and the same number of green jelly​ beans?

Answer:

[tex]Both = 813960[/tex]

Step-by-step explanation:

Given

Red Jelly Beans = 19

Green = 10

Required

Select 4 out of 19 red jelly beans and 4 out of 10 green jelly beans

The keyword in the question is pick and this implies combination;

4 from 19 red jelly beans is calculated as follows

[tex]^nC_r = \frac{n!}{(n-r)!r!}[/tex]

Where n = 19 and r = 4

[tex]^{19}C_4 = \frac{19!}{(19-4)!4!}[/tex]

[tex]^{19}C_4 = \frac{19!}{15!4!}[/tex]

[tex]^{19}C_4 = \frac{19 * 18 * 17 * 16 * 15!}{15! * 4 * 3 * 2 * 1}[/tex]

[tex]^{19}C_4 = \frac{19 * 18 * 17 * 16}{4 * 3 * 2 * 1}[/tex]

[tex]^{19}C_4 = \frac{93024}{24}[/tex]

[tex]^{19}C_4 = 3876[/tex]

Similarly;

4 from 10 green jelly beans is calculated as follows

[tex]^{10}C_4 = \frac{10!}{(10-4)!4!}[/tex]

[tex]^{10}C_4 = \frac{10!}{6!4!}[/tex]

[tex]^{10}C_4 = \frac{10 * 9 * 8 * 7 * 6!}{6! * 4 * 3 * 2 * 1}[/tex]

[tex]^{10}C_4 = \frac{10 * 9 * 8 * 7 }{4 * 3 * 2 * 1}[/tex]

[tex]^{10}C_4 = \frac{5040}{24}[/tex]

[tex]^{10}C_4 = 210[/tex]

Ways of selecting both is calculated as follows

[tex]Both = 3876 * 210[/tex]

[tex]Both = 813960[/tex]

Elena plans to ride her bicycle 5 miles to a park and then ride several times around a loop in a the park that is 3 miles long. Then she'll take the same way home. she wants to ride a total of 22 miles. The inequality 3t + 10 ≥ 22 models this situation, where t is the number of times Elena went around the loop. Solve the inequality. How many times does Elena need to go around the loop?

Answers

Answer:

Solution : 4 or more times

Step-by-step explanation:

As the inequality is given to us, it makes this a bit simpler.

3t + 10 ≥ 22 ( Subtract 10 on either side )

3t ≥ 12 ( Divide 3 on either side )

t ≥ 12 / 3 ≥ 4

And hence we have a solution of t ≥ 4. Elena will ride around the loop 4 or more times.

If a sample is selected from a population, the sample mean is essentially guaranteed to be different from the population mean. In general, the naturally occurring difference between a sample statistic and the corresponding population parameter is called ____.

Answers

Answer:

Sampling Error

Step-by-step explanation:

We are told that the phenomenon is the naturally occurring difference between a sample statistic and the corresponding population parameter.

Now, it's sampling error because sampling error is simply defined as a deviation or difference in a sampled value as against the true population value due to the fact the sample is not a true representative of the population.

This is also similar to the definition given in the question.

Thus, it's sampling error!

What's the expression with addition for -7-(-10)?​

Answers

Answer:

3 is your answer

Step-by-step explanation:

-7-(-10)= 3

Answer:

[tex]\Huge \boxed{3}[/tex]

Step-by-step explanation:

-7-(-10)

Distribute the negative sign.

-7+10

Add the numbers.

3

Quick help please 10 points Multiply (-4)(-2)(-5) A -40 B -8 C 8 D 40

Answers

Answer:

A -40

Step-by-step explanation:

Answer:

the correct answer is D. 40

A certain game is played on a board that shows a portion of the xy-coordinate plane. During one move in the game, a marker at a point (a,b) is first moved to the point (b,a) and then moved 3 units to the left. During such a move, a marker that is at (4,3) will be moved to

Answers

Answer: (0,4)

Step-by-step explanation:

Given: During one move in the game, a marker at a point (a,b) is first moved to the point (b,a) .                                                                     (i)

And then moved 3 units to the left.                                   (ii)

Translation rule to move a point (x,y) c units left : (x,y)→(x-c,y)

Now, (4,3)  first will become (3,4)  [using (i)]

Then, (3,4)→(3-3,4)=(0,4)   [using (ii) and translation rule]

Hence, During such a move, a marker that is at (4,3) will be moved to (0,4).

GUYS PLEASE HELP ME ASAP!!!Jason is saving up to buy a new phone that costs $490 (I wish they were still this cheap). So far, he's saved $175. He would like to buy the camera no later than 3 weeks from now. What is the inequality used to represent how much he must save every week to have enough money to purchase the camera? (hint: when the wording is tricky, as it is in this problem, solve the problem as if it were an equation. That is to say, as if Jason was trying to save the money in exactly 3 weeks. Then decide on the sign that makes most sense).

Answers

Answer:

175-3x=490

Step-by-step explanation:

he only has 3 weeks, which is a time limit, so it would be -3x instead of +3x, he only has 175, so he needs more, so it's positive. Hope this is correct (:

Answer:

I believe the answer is $105

Step-by-step explanation:

Well you have the price of the phone which is $490 and you also have saved $175 towards the new phone.

I used substraction $175 from $490 leaves $315.

Then i divided $315 by 3 weeks and got $105 .

The equation x2+y2−16x+6y+73=100 can be rewritten as [g(x)]2+(y+3)2=100.Write an expression for g(x).

Answers

Answer: g(x) = (x - 8)

Step-by-step explanation:

We start with the equation:

x^2 + y^2 - 16*x + 6*y + 73 = 100.

And we want to write this as:

g(x)^2 + (y + 3)^2 = 100.

So both equations are equal, then we can write this as:

x^2 + y^2 - 16*x + 6*y + 73 = g(x)^2 + (y + 3)^2

First we can expand the right side:

g(x)^2 + (y + 3)^2 = g(x)^2 + y^2 + 2*3*y + 9

Then we have:

x^2 + y^2 - 16*x + 6*y + 73 = g(x)^2 + y^2 + 6*y + 9

Now we can cancel the equal terms in each side, like y^2 and 6*y

x^2 - 16*x + 73 = g(x)^2 + 9

Now let's subtract 9 in each side:

x^2 - 16*x + 73 - 9 = g(x)^2

x^2 - 16*x + 64 = g(x)^2

Then we can assume that g(x) = (x - a)

then:

x^2 - 16*x + 64 = (x - a)^2 = x^2 - 2*a*x + a^2

-16*x + 64 = -2*a*x + a^2

now we must find the value of a, we have two equations:

-2*a = -16

a^2 = 64

and each equation yields to:

a = -16/-12 = 8.

a = √64 = 8

Then we have: g(x) = (x - 8)

Completing the squares, it is found that: [tex]g(x) = x - 8[/tex]

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

The expression given is:

[tex]x^2 + y^2 - 16x + 6y + 73 = 100[/tex]

To complete the squares:

First, each first order term(-16 and 6) are divided by 2.Then, we write as the square of (x - 8) and (x + 3).Then, we have to find the squares on the other side of the equality.

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

Doing these steps:

[tex](x - 8)^2 + (y + 3)^2 = 100 - 73 + 8^2 + 3^2[/tex]

[tex](x - 8)^2 + (y + 3)^2 = 100 - 73 + 64 + 9[/tex]

[tex](x - 8)^2 + (y + 3)^2 = 100[/tex]

Which means that:

[tex]g(x) = x - 8[/tex]

A similar problem is given at https://brainly.com/question/16269892

how to put these in a simply form?
(-2)* (-2)* 10 *10 *10 *10.
21*21*21+(-1)(-1)(-1)(-1).

Answers

Answer:

370,4440,001

Step-by-step explanation:

(-2) • (-2) • (10) • (10) • (10) • (10) = 40,000

21 • 21 • 21 = 9261

(-1) • (-1) • (-1) • (-1) = 1

(40,000) (9261) + 1

(370,440,000) + 1 = 370,4440,001

--

exponents

(-2)² + 10⁴ + 21³ + (-1)⁴

Simplify. Write your answer as an integer 27 2/3

Answers

Answer:

83/3 is ur answer .......

If f(x) = 4x + 1, find f(3).

Answers

Answer: 13

Replace x with 3. Then simplify

f(x) = 4x+1

f(3) = 4(3)+1

f(3) = 12+1

f(3) = 13

Answer:13

Step-by-step explanation:

You place 3 in place of x then multiply 4 and 3. You would get 12. Then you add 1. Which is 13.

A coin is flipped 25 times and lands on heads 16 times. Based on the experimental probability, how many heads would you predict for 200 flips of the coin?

Answers

Answer:

128 heads.

Step-by-step explanation:

From the experiment the probability = 16/25.

So the number of heads expected is (16/25) * 200

= 16 * 8

= 128.

Answer:

128 heads is the answer

Step-by-step explanation:

16/25=.64

.64*200=128

I would predict that it would land on heads 128 times if you flipped the coin 200 times.

-12x - 60 = 144. Find the value of x.

Answers

Answer: x = - 17

Step-by-step explanation:

−12x−60=144

add 60 to both sides

-12x-60+60=144+60

simplify

-12x=204

divide both sides by -12

-12/-12 = 204/-12

simplify and ur Answer!! is x=-17

What is 4(x-7)=2(x+3)?

Answers

Answer:

Isolate the variable by dividing each side by factors that don't contain the variable.

4(x−7)=2(x+3)

Simplify both sides of the equation.

4(x−7)=2(x+3)

4x+−28=2x+6

4x−28=2x+6

Subtract 2x from both sides.

4x−28−2x=2x+6−2x

x−28=6

Add 28 to both sides.

2x−28+28=6+28

2x=34

Divide both sides by 2.

2x/2  =  34/2

x = 17

Answer:

x = 17

Step-by-step explanation:

[tex]4(x-7)=2(x+3)\\\\4x-28=2x+6\\\\4x-28+28=2x+6+28\\\\4x=2x+34\\\\4x-2x=2x-2x+34\\\\2x=34\\\\\frac{2x=34}{2}\\\\ \boxed{x=17}[/tex]

Hope this helps.

Find LCM of
[tex]p {}^{2} - pq \: and \: pq \: - q {}^{2}[/tex]




Answers

Answer: LCM = pq(p - q) = p²q - pq²

Step-by-step explanation:

      p² - pq               pq - q²

         ∧                         ∧

    p   (p - q)             q   (p - q)

p² - pq:    p  · (p - q)

pq - q²:    q  · (p - q)

GCF: (p - q)

LCM: p · q · (p - q)

If Log 4 (x) = 12, then log 2 (x / 4) is equal to A. 11 B. 48 C. -12 D. 22

Answers

Answer:

[tex]\huge \boxed{\mathrm{D. \ 22}}[/tex]

Step-by-step explanation:

[tex]\mathrm{log_4 (x)=12}[/tex]

Make the base 4 from both sides.

[tex]\mathrm{4^{log_4 (x)}=4^{12}}[/tex]

Simplify the equation.

[tex]\mathrm{x=16777216}[/tex]

[tex]\mathrm{log_2 (\frac{x}{4} )}[/tex]

Let x = 16777216

[tex]\mathrm{log_2 (\frac{16777216}{4} )}[/tex]

[tex]\mathrm{log_2 (4194304)}[/tex]

Evaluate.

[tex]22[/tex]

Answer:

[tex]log_2(\frac{x}{4} )=22[/tex]

which is your answer "D"

Step-by-step explanation:

If    [tex]log_4(x)=12[/tex]  this means that : [tex]x=4^{12}[/tex] based in the definition of logarithm.

And this exponential expression can also be written using that [tex]4=2^2[/tex]:

[tex]x=4^{12}=(2^2)^{12}=2^{24}[/tex]

so now we know what x is with base 2 (which is needed for the second expression:

[tex]log_2(\frac{x}{4} )=?[/tex]

And this also can be written in exponent form (using the unknown "?" we need to find) as:

[tex]2^?=\frac{x}{4} \\x=4\,*\,2^?\\x=2^2\,*\,2^?\\x=2^{2+?}[/tex]

Since we know the value of x in base 2 (from our first analysis), then:

[tex]x=2^{2+?}=2^{24}\\then\\2+?=24\\?=22[/tex]

Therefore,

[tex]log_2(\frac{x}{4} )=22[/tex]


Which point could represent 5/3 ?

Answers

Based on the number line provided for this exercise (see attachment), a point which could represent 5/3 is given by C.

What is a number line?

A number line can be defined as a type of graph with a graduated straight line which contains both positive and negative numerical values that are placed at equal intervals along its length.

Based on the number line provided for this exercise (see attachment), a point which could represent 5/3 is given by C:

1 < C < 2

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p=x2-y2÷x2+xy
p equals to x square minus y Square divided by x square + X Y ​

Answers

Answer:

x2-y2?x2+xy=x-y/x

Step-by-step explanation:

as we know , x2-y2=(x+y)(x-y)

and in case of the denominator take x as a common one then we will get

(x+y)(x-y)/x(x+y)

=x-y/x    its the answer

thank u

What is the mean of the data set?
61, 38, 40, 53

Answers

Answer:

48

Step-by-step explanation:

You are solving for the mean of the data set. To do so, add all the numbers together, and divide by the amount of numbers in the set.

Note that there are 4 numbers given to you: 38, 40 , 53, 61.

First, add the 4 numbers together:

38 + 40 + 53 + 61 = 192

Next, divide 4 from the total gotten:

192/4 = 48

48 is the mean of the data set.

~

Answer:

48

Step-by-step explanation:

[tex]Mean = \frac{Total \: value}{no \:of \:given \:data} \\\\=\frac{61+ 38+ 40+ 53}{4}\\\\=\frac{192}{4} \\\\= 48[/tex]

what is the greatest common fact of 9 and 22

Answers

Answer:

1

Step-by-step explanation:

the greatest common factor of 9 and 22 is 1.

How do I write the following expression on my computer?

Answers

Answer:

YOU HAVE TO WRITE YOUR QUESTION ON COMPUTER AS ,

Step-by-step explanation:

  4/(2*x-3)

I hope it will work

Find the distance between the two points rounding to the nearest tenth (if necessary).
(4,2) and (8,8)

Answers

Answer:

≈ 7.2

Step-by-step explanation:

Use distance formula:

d = √(8-4)² + (8-2)²

3. Which of the following quadratic equations has no solution? A) 0 = −2(x − 5)2 + 3 B) 0 = −2(x − 5)(x + 3) C) 0 = 2(x − 5)2 + 3 D) 0 = 2(x + 5)(x + 3)

Answers

Answer:

D) 0 = 2(x + 5)(x + 3)

Step-by-step explanation:

Which of the following quadratic equations has no solution?

We have to solve the Quadratic equation for all the options in other to get a positive value as a solution for x.

A) 0 = −2(x − 5)2 + 3

0 = -2(x - 5) × 5

0 = (-2x + 10) × 5

0 = -10x + 50

10x = 50

x = 50/10

x = 5

Option A has a solution of 5

B) 0 = −2(x − 5)(x + 3)

Take each of the factors and equate them to zero

-2 = 0

= 0

x - 5 = 0

x = 5

x + 3 = 0

x = -3

Option B has a solution by one of its factors as a positive value of 5

C) 0 = 2(x − 5)2 + 3

0 = 2(x - 5) × 5

0 = (2x -10) × 5

0 = 10x -50

-10x = -50

x = -50/-10

x = 5

Option C has a solution of 5

D) 0 = 2(x + 5)(x + 3)

Take each of the factors and equate to zero

0 = 2

= 0

x + 5 = 0

x = -5

x + 3 = 0

x = -3

For option D, all the values of x are 0, or negative values of -5 and -3.

Therefore the Quadratic Equation for option D has no solution.

You work at a flower shop designing bouquets. You need to create bouquets of roses and calla lilies for a wedding. Calla lilies cost you $2.40 each and roses cost $1.90 each. If you need 64 of each type of flower, how much money do you need to spend to make the bouquets?

Answers

64x2.40 = 153.6
64x1.90 = 121.6

add 153.6 to 121.6

275.2

The total money needed $ 275.2

What is Unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given:

Calla lilies cost you $2.40.

roses cost $1.90.

If we need 65 lilies then it will cost

=64 * 2.40

= $153.60

and, If we need 65 roses then it will cost

=64 * 1.90

= $121.60

So, the total money needed

=153.6 + 121.6

=$ 275.2

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The given function k is a composition of two functions m
and n so that k(x) = (
mn)(x).
If n(x) = 4x - 7, m(x) must be equal to which
expression?
k(x) =
VAX-7
O z&x
2
Ο Ο Ο Ο

Done
Helpppppo

Answers

Answer:2/4 √x (2 over 4 square root x)

Step-by-step explanation:

Answer:

Answer is D if your using edgenity.

Step-by-step explanation:

The answers are never mixed up, so it will always be the last one.

For what value or values of b is it true that |b| = -b

Answers

Answer:

b =0

Step-by-step explanation:

The only value where  |b| = -b  is when b=0

|0| = -0

0 = 0

Absolute value means non- negative

non-negative = negative

This is only true when we equal zero

Answer: b = 0 or anything negative (like b = -2)

So any value of b such that [tex]b \le 0[/tex]

==================================================

Explanation:

|b| is the distance from b on the number line to 0

The distance is never negative as negative distance does not make sense.

If b was some positive number, then |b| = b. For instance, |7| = 7. This shows 7 is seven units away from 0 on the number line.

----------

If b is negative or zero, then |b| = -b. Why? Because the result of |b| is the opposite of whatever negative b value you put in. For example, b = -2 leads to

|b| = |-2| = 2

while

-b = -(b) = -(-2) = 2

The two negatives cancel each other out to get a positive result.

This shows, |-2| = -(-2) = 2

Meaning that the location -2 is two units away from 0 on the number line.

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