Jaime is preparing for a bicycle race. His goal is to
bicycle an average of at least 280 miles per week for
4 weeks. He bicycled 240 miles the first week,
310 miles the second week, and 320 miles the
third week. Which inequality can be used to
represent the number of miles, x, Jaime could bicycle
on the 4th week to meet his goal?
A)
240 + 310 + 320
3
+ x 280
B) 240 + 310 + 320 2 x(280)
C)
240 310 320
+- + +x280
4 4 4
D) 240 + 310 + 320 + x 2 4(280)

Answers

Answer 1

Using the mean concept, it is found that the inequality can be used to  represent the number of miles, x, Jaime could bicycle  on the 4th week to meet his goal is:

[tex]\frac{240 + 310 + 320 + x}{4} \geq 280[/tex]

The mean of a data-set is the sum of all observations divided by the number of observations.

In this problem:

There are 4 observations.They are: 240, 310, 320 and x.

Hence, the mean is:

[tex]M = \frac{240 + 310 + 320 + x}{4}[/tex]

His goal is to  bicycle an average of at least 280 miles per week for  4 weeks, hence:

[tex]M \geq 280[/tex]

[tex]\frac{240 + 310 + 320 + x}{4} \geq 280[/tex]

To learn more about the mean concept, you can take a look at https://brainly.com/question/13451786


Related Questions

carter has two consecutive numbers with a sum of 49. what is the smaller number?
A. 23
b. 24
C. 25
D. 26​

Answers

Answer:

A.23 is the answer

Step-by-step explanation:

49-26=23

49-25=24

49-24=25

1. If the spinner below is spun once, find the
probability of a number less than 10

Answers

Answer:

5% chance

Step-by-step explanation:

I need help plz
12
10
8
12.5

Answers

Answer:

8

Step-by-step explanation:

A bowl is in the shape of a hemisphere (half a sphere) with a diameter of 8 inches. Find the volume of the bowl. Use 3.14 for pi.

Answers

Answer: 267.947 (or 267.95) inches^3

Step-by-step explanation:

The formula for the volume of a sphere is [tex]\frac{4}{3}\pi r^{3}[/tex].

To find your radius (r), divide the diameter of 8 inches by 2. The radius is 4 inches.

Plug in your numbers to the volume equation to get [tex]\frac{4}{3} (3.14)(4^3)[/tex]. The first step is to cube 4 (4*4*4) to get 64. Now your equation is [tex]\frac{4}{3}(3.14)(64)[/tex].

Multiply 3.14 and 64 to get 200.96. The equation is now [tex]\frac{4}{3}(200.96)[/tex] or [tex]\frac{4}{3} * \frac{200.96}{1}[/tex].

Multiply the numerators (4 * 200.96) and denominators (1 * 3) to get a final equation of [tex]\frac{803.84}{3}[/tex].

Finally, divide 803.84 by 3 to get the final answer of 267.947 in^3.

x is a random real number between 0 and 3. what is the probability that it is closer to 0 than it is to 1?

Answers

Answer:

The area y>x will belong to the trapezoidal area. Thus, the area of the trapezoid = 0.5*(4+1)*3 = 15/2. Finally, the required probability = trapezoid ...

Step-by-step explanation:

select the two values of x that are roots of this equation 2x^2-11x+15=0

Answers

X=5/2 and 3. Factor the equation find numbers that will sum up too -11 involving the coefficient of 2, and that multiply into 15. 2x too the power of 2 -11x +15=0 (2x-5)(x-3) =0

55) Carl spent 25% of his money for some presents. What percent
did he have left?

Answers

Answer:

75%

Step-by-step explanation:

In total it was 100%, but he spent 25%.

100% - 25%=75%

Use the distance formula to answer the question:
What is the distance between (5,9), (1, 6)?

Answers

Step-by-step explanation:

The formula is Distance=√(x2-x1)²+(y2 -y1)²

x1 is 5, x2 is 1, y1 is 9, y2 is 6

D = √( 1-5)² +(6-9)²

D = √(-4)²+(-3)²

D = √16+9

D = √25

D = 5 units

BRAINLIEST
Do one of the above and show your work

Answers

Answer:

10,   C = circumference = 2 pi 11 = 69.11 since the radius = 6

PR = C / 2 = 34.6  since PR is 1/2 the circumference

PS = 34.6 - 16 = 18.6    since PS is 16 ft short of C/2

Answer:

Step-by-step explanation:

What is an equivalent expression to 7x - 3y + 8x ?

Answers

Answer:

15x-3y

Step-by-step explanation:

Ok, this question might seem hard but its not! theres only 2 varibles here, x and y. In this problem we add the 2 numbers that are x which gives us 15x and then the -3y gets added to the rephrasment.

−6x≥17 Give your answer as an improper fraction in its simplest form.
HELPPPPPP QUICK

Answers

Answer:

[tex]x \leqslant \frac{ - 17}{6} [/tex]

How i can answer this question?

Answers

It isn’t asking you to answer the question, all you need to do is simplify it

This is something called collecting like terms, for example, we’d combined both of the r terms

4r - r = 3r

And combine both of the constant terms

14 - 6 = 8


The final expression will be 3r + 6

Answer: 3r+8

Step-by-step explanation:

4r-r=3r

and 14-6=8

therefore it would be 3r+8

You have $6.72 to buy apples for an apple crisp recipe. Apples cost $0.96 each. Write and solve an inequality that represents the number of apples you can buy

Answers

$.96a=$6.72 I believe

4x + 7 = 6x + 4. what is this answer step by step?

Answers

[tex]4x+7=6x+4\\\\\implies 6x -4x = 7-4\\\\\implies 2x = 3\\\\\implies x =\dfrac 32[/tex]

Answer:

x= 3/2

Step-by-step explanation:

4x+7=6x+4

Step 1: Subtract 6x from both sides.

4x+7−6x=6x+4−6x

−2x+7=4

Step 2: Subtract 7 from both sides.

−2x+7−7=4−7

−2x=−3

Step 3: Divide both sides by -2.

-2x=-3

-2    -2

=

3/2

Pls help right answer gets brainliest

Answers

Answer:

x=3/2

Step-by-step explanation:

      .D                         .I

          9x                           7x+3

.C           .E             .H             .J

7x+3=9x

-7x     -7x

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

3=2x

--  --

2  2

x=3/2

Check

9(3/2)=13.5

7(3/2)+3=13.5

Convert this improper fraction to a Mixed Number 40/10 plz i need help

Answers

Answer:

4

Step-by-step explanation:

How many times does the denominator go into the numerator, in this case 10 goes into 40 4 times.

Find DY if PY= 6
and DP= 10.

Answers

The relationship between sides DY, PY and DP is that they form a right-angled triangle.

The value of side length DY is 8 units

Side length DY can be calculated using the following Pythagoras theorem.

So, we have:

[tex]DP^2 =DY^2 + PY^2[/tex]

Substitute values for DP, DY and PY

[tex]10^2 =DY^2 + 6^2[/tex]

Evaluate the squares

[tex]100 =DY^2 + 36[/tex]

Subtract 36 from both sides

[tex]64 =DY^2[/tex]

Take square roots of both sides

[tex]8 =DY[/tex]

Rewrite as:

[tex]DY = 8[/tex]

Hence, the value of side length DY is 8 units

Read more about Pythagoras theorems at:

https://brainly.com/question/654982

a
What is the image of the point (-9, -6) after a rotation of 90° tounterclockwise
about the origin?

Answers

Answer:

Pumpkins are used as decorations during the fall months.

Pumpkins are used as decorations during the fall months.

Pumpkins are used as decorations during the fall months.

Pumpkins are used as decorations during the fall months.

Pumpkins are used as decorations during the fall months.

Pumpkins are used as decorations during the fall months.

Pumpkins are used as decorations during the fall months.

Pumpkins are used as decorations during the fall months.

Pumpkins are used as decorations during the fall months.

Pumpkins are used as decorations during the fall months.

Pumpkins are used as decorations during the fall months.

Pumpkins are used as decorations during the fall months.

Pumpkins are used as decorations during the fall months.

Pumpkins are used as decorations during the fall months.

Pumpkins are used as decorations during the fall months.

mathematic equation
solve q
11=8(3q-1)

Answers

24q-8=11 (use distributive property)
24q= 11+8
24q = 20
q= 20/24
q= 0.8

Step-by-step explanation:

11 = 8(3q - 1)

11 = 24q - 8

11 + 8 = 24q

19 = 24q

19/24 = q

q = 0.791666666666666

q = 0.8 to 1 decimal place

6.True or False.
A numeral, such as 22 is called a constant.

Answers

Answer:

True

Step-by-step explanation:

The term with no variable attached to it is the constant

Answer:

te voy a devolver el susto me diste 9 veces peor

Step-by-step explanation:

Which of the following are involved in graphs of linear equations.

* Intercepts

* The graph is a curve

* The graph is the solution set.

* Slope

* The equation usually has a squared variable

Answers

Answer:

Step-by-step explanation:

* Intercepts  YES  The point where the line crosses the y axis (the value of y when x=0)

* The graph is a curve No.  It would not be a linear equation.

* The graph is the solution set. Yes.

* Slope  Yes

* The equation usually has a squared variable No

Need Help....
I can't understand the question so please help me.....

[tex]for \: x \: such \: that \: 0 < x < \frac{\pi}{2}[/tex]
It is the expression
[tex] \frac{ \sqrt{1 - {cos}^{2}x } }{sin \: x} \:- \frac{ \sqrt{1 - {sin}^{2}x } }{cos \: x} \\ \\ is \: equivalent \: to:[/tex]
[tex]f.0 \\ g.1 \\ h.2 \\j. - tan \: x \\ k. \: sin \: 2x[/tex]
Don't spam and Don't copy
Don't answer if you don't know
Thank You!

Answers

If 0 < x < π/2, then both sin(x) and cos(x) are positive.

From the Pythagorean identity, we then have

cos²(x) + sin²(x) = 1

⇒   cos(x) = + √(1 - sin²(x))   and   sin(x) = + √(1 - cos²(x))

Then

√(1 - cos²(x))/sin(x) = sin(x)/sin(x) = 1

and

√(1 - sin²(x))/cos(x) = cos(x)/cos(x) = 1

so that the overall expression reduces to

1 - 1 = 0

answer???? i need help asap

Answers

Answer:

what kind?

Step-by-step explanation:

Answer:55

Step-by-step explanation:

55

hat equation represents this sentence?


7 less than a number is 16.



7−n=16


n−7=16


7=16−n

like you cut g

7=n−16

Answers

Answer:

2nd option

Step-by-step explanation:

let the number be n then 7 less than this number is n - 7 , so

n - 7 = 16

23.15 – [ 115 + ( 12 - 25)]

Answers

Answer:

-78.85

Step-by-step explanation:

Using Order of Operations (PEDMAS):

23.15 – [ 115 + ( 12 - 25)]

= 23.15 – [ 115 + (-13)]

= 23.15 – [ 115 - 13]

= 23.15 -  102

= -78.85

What is the value of -2

Answers

Answer:

11

Step-by-step explanation:

-2 lies in the second range that begins with -2 and ends with 8

X- 7y = -21 2x -14y =-42

Solve by substitution.

Answers

This is the possible solution. If the question isn't set up right Please tell me and I'll fix what needs to be changed. All the best

the given system of equations has no Solution.

What are Systems of equations?

Simultaneous equations, a system of equations Two or more equations in algebra must be solved jointly (i.e., the solution must satisfy all the equations in the system). The number of equations must match the number of unknowns for a system to have a singular solution.

There are four methods for solving systems of equations: graphing, substitution, elimination, and matrices.

Given, a system of equations:

X- 7y = -21......(1)

2x -14y =-42.....(2)

From equation 1

x = -21 + 7y

Substitute the value in equation 2

2(-21 + 7y) -14y-14y = -42

Since the given equation are same

Therefore, given equations have no Solution.

Learn more about the System of equations here:

https://brainly.com/question/12628931

#SPJ2

If 3x = 21, find the value of 23 - 4x​

Answers

Answer:

- 5

Step-by-step explanation:

Given

3x = 21 ( divide both sides by 3 )

x = 7

Then

23 - 4x = 23 - 4(7) = 23 - 28 = - 5

What is 39,800,000 in scientific notation? A. 3.98 x 10 B. 398 x 10 C. 3.98 x 10 D. 39.8 x 10

Answers

Answer:

3.98 x 10^7

Step-by-step explanation:

Answer:

3.98 x 10⁷

Review:

What is scientific notation: It is a number that is between 1-10 and is written in exponents.

Instruction:

We need to re-write the number "39,800,000" that is between 1-10 and is written in exponents.

Solution:

=> 39,800,000 = 398 x 10⁵

This is still not in scientific notation form because it is not between 1-10. Let's simplify further.

=> 398 x 10⁵ = 3.98 x 10⁵⁺²=> 3.98 x 10⁷

This is now in scientific notation form because it follows the 2 reasons to form a scientific notation.

Conclusion:

Therefore, 3.98 x 10⁷ is the number in scientific notation.

[tex]BrainiacUser1357[/tex]

need help asap plz help me

Answers

Answer:

idek not gonna lie

Step-by-step explanation:

Answer:

The first one is A) 4 The second on is D) 65

Step-by-step explanation:

You divide the first number by the second number eg. 12 divided by 3=4. so 4.

You repeat the process for the second one, which is 32.5 divided by 5=6.5 so then you multiply that times 100 so 65.

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