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

what does the point (60,20) mean in the graph math

Answers

(60,20) means that the 60 lies in the x-axis and 20 lies in the y-axis. So draw the graph according to it

If sixteen dried beans weigh one ounce, then how many dried beans wiring one pound

Answers

Answer:

96 dried beans will weigh one pound

16 beans in one ounce x 16 ounces in a pound = 256 beans total.

Which equation is perpendicular to y=4x-6 and passes through point (B, 12)

Answers

Answer:

asdasd

Step-by-step explanation:

asdasdasd

What is the area, in square feet, of the shape below? Express your answer as a fraction in simplest form.

Answers

4/3 • 5/3 = 20/9 divided by 2 = 10/9

answer this pleaseeeee

Answers

Answer:

Each goat gets 3 carrots and there are 4 extra carrots left

Step-by-step explanation:

5*3=15

OR: If you wanted to do it exact you give each goat 3 carrot's and an 1/8th of one and you'd have no extra carrots left.

5*3.8=19

Answer:

the answer is simple 3 remainder of 4

Step-by-step explanation:

so he had 5 goats and 19 carrots  

19/5=3.8 which mean 3 and 4  left

An ice cream machine produced 45 ice cream sandwiches per minute. After reconditing, its speed increased to 54 ice cream sandwich's per minute. By what percent did the speed of the machine increase?

Answers

Percent of speed the machine increase is 20%

Given that;`

Number of ice cream produced before = 45

Number of ice cream produced after = 54

Find:

Percent of speed the machine increase

Computation:

Percent of speed the machine increase = [Number of ice cream produced after - Number of ice cream produced before] / Number of ice cream produced before

Percent of speed the machine increase = [(54 - 45) / 45]100

Percent of speed the machine increase = [9 / 45]100

Percent of speed the machine increase = 20%

Learn more:

https://brainly.com/question/15013012?referrer=searchResults

Percent of speed the machine increase is 20%

algebric expressions formula​

Answers

Answer:

a2 – b2 = (a – b)(a + b)

(a + b)2 = a2 + 2ab + b

a2 + b2 = (a + b)2 – 2ab

(a – b)2 = a2 – 2ab + b

That's all i know- rip TvT

hurry plz!!! I need help ​

Answers

Answer: See below

Step-by-step explanation:

The general transformation equation for an absolute value function is

y=a | x−h |+k.

f(x)=|x+4|

Horizontal translation 4 units left (positive value, move left)

f(x)=|x|-4

Vertical translation down 4 units (negative k value, move down)

f(x)=|x-4|

Horizontal translation 4 units right (negative value, move right)

f(x)=|x|+4

Vertical translation up 4 units (positive k value, move up)

I need some help with this question. It says: expand and simplify 5(x + 7) + 3(x - 2)

Answers

Answer:

8x+29

Step-by-step explanation:

open the brackets the collect like terms together

-3x + 4y = -15 and 4x - y = -19

Answers

Answer:x = -7y = -9Step-by-step explanation:-3x + 4y = -15

        4x - y = -19

=> -3x + 4y = -15

       4(4x - y) = 4(-19)

=> -3x + 4y = -15

            16x - 4y = -76

=> 13x = -91=> x = -7

Now, let's substitute the 'x' value in the equation.

=> -3(-7) + 4y = -15=> 21 + 4y = -15=> 4y = -21 - 15=> 4y = -36=> y = -9Conclusion:

Therefore, the answers are:

x = -7y = -9

Hoped this helped.

[tex]BrainiacUser1357[/tex]

Answer:

(-7, -9).

( x = -7 and y = -9)

Step-by-step explanation:

-3x + 4y = -15  

  4x - y   = -19

Multiply second equation by 4:

16x - 4y = -76

Add this equation to the first to eliminate y:

13x = -15 + -76

13x = -91

x = -7.

Substitute this into equation 2:

4(-7) - y = -19

-y = -19 + 28

-y = 9

y = -9.

Different cities have different sales tax rates. Here are the sales tax charges on the
same items in two different cities. Complete the tables.
City 1
total cost
item
price
(dollars)
sales tax
(dollars)
(dollars)
8.00
0.48
8.48
paper towels
25.00
1.50
lamp
1.00
pack of gum
laundry soap
12.00
х

Answers

Answer:

city 1

paper towels 8.00 0.48 8.48

lamp 25.00 1.50 26.50

pack of gum 1.00 0.06 1.06

laundry soap 12.00 0.72 12.72

46.00 2.76 48.76

city 2

paper towels 8.00 0.64 8.64

lamp 25.00 2.00 27.00

pack of gum 1.00 0.08 1.08

laundry soap 12.00 0.96 12.96

46.00 3.68 49.68

the side length of a square is n cm.

Answers

Answer:

  (c)  Alicia, Bart, and Diego's answers are equivalent

Step-by-step explanation:

The perimeter of a square is the sum of the side lengths

  n + n + n + n . . . . . Alicia's answer

  = (n +n) +(n +n) = 2n +2n . . . . . Diego's answer

  = (2 +2)n = 4n . . . . . . Bart's answer

Alicia, Bart, and Diego's answers are equivalent.

Gabriella and her children went into a restaurant where they sell hotdogs for $4 each and tacos for $2 each. Gabriella has $30 to spend and must buy a minimum of 9 hotdogs and tacos altogether. Also, she must buy no less than 2 hotdogs. If xx represents the number of hotdogs purchased and yy represents the number of tacos purchased, write and solve a system of inequalities graphically and determine one possible solution.

Answers

A possible solution to the inequality is 2 hotdogs and 8 tacos.

Let x represents the number of hotdogs purchased and y represents the number of tacos purchased.

Gabriella has $30 to spend and must buy a minimum of 9 hotdogs and tacos altogether.

Hence:

4x + 2y ≤ 30    (1)

x + y ≥ 9      (2)

Also:

x ≥ 2   (3)

A possible solution to the inequality is 2 hotdogs and 8 tacos.

Find out more on inequality at: https://brainly.com/question/241541

I WILL GIVE 30 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT. A 12-foot ladder is placed against a vertical Wall of a building with the bottom of the ladder standing on level ground 5 feet from the base of the building. How high up the wall does the ladder reach?

Answers

Answer: The wall of the ladder reaches 10.91 feet.

Explanation:

Formulate

√12^2 - 5^2

Evaluate

10.90871

Round

10.90871 10.91

Therefore, the answer is 10.91 feet.

Answer:

10.91 feet

Step-by-step explanation:

Picture a right triangle with a hypotenuse of 12feet and a base of 5feet.

See the attachment.

Use the Pythagorean Theorem to solve.

Height = 10.91 feet.

The surface area of a box is 160 square inches. The length of the box is twice its width, and is 4 inches less than its height. What is the height of the box, in inches?

Answers

the height of the box is 9 inches

Answer:

solution given:

total surface area of a box=160 square inches

let length, width, and height be l,b, and h respectively.

according to the question:

l=2b

∴b =[tex]\frac{l}{2}[/tex]

l=h-4

∴ h=l+4

we have

total surface area of a box=160 square inches

2(lb+lh+bh)=160

[tex]2(l*\frac{l}{2}+l(l+4)+\frac{l}{2}*(l+4))=160[/tex]

[tex]2*\frac{l^2+2l^2+8l+l^2+4l}{2}=160[/tex]

[tex]4l^2+12l=160[/tex]

[tex]4(l^2+3l)=160[/tex]

[tex]l^2+3l=\frac{160}{4}[/tex]

[tex]l^2+3l-40=0[/tex]

doing middle term factorization

[tex]l^2+(8-5}l-40=0[/tex]

[tex]l^2+8l-5l-40=0[/tex]

taking common from each two terms

l(l+8)-5(l+8)=0

(l+8)(l-5)=0

either

l=-8[neglected as length is always positive]

or

l=5

now

b=[tex]\frac{5}{2} =2.5[/tex]

h=5+4=9

Step-by-step explanation:

A line passes through the points (-4,1) and (-3,3). This line can be modeled by the equation y
Complete the table to determine the values of m and b.

Answers

Answer:

A

Step-by-step explanation:

At the beginning of a trip, the tank of Diana’s car was filled with gasoline to half of its capacity. During the trip, Diana used 30 percent of the gasoline in the tank.
At the end of the trip, Diana added 8 gallons of gasoline to the tank.
Let the capacity of the tank of Diana’s car be x gallons. Write an expression representing the number of gallons of gasoline in the tank after Diana added gasoline to the tank at the end of the trip? Enter an expression in the simplified form.

Answers

Capacity of tank be x

At end of journey the tank was half filled.

Hence x/2 filled

Now used percentage is 30%

[tex]\\ \sf\longmapsto \dfrac{30x}{200}[/tex]

[tex]\\ \sf\longmapsto \dfrac{3}{20}x[/tex]

Now

added gasoline=8gallon

Expression:-

[tex]\\ \sf\longmapsto \dfrac{3}{20}x+8[/tex]

The difference between total surface area and curved surface area of a hemisphere is 154 cm^2, find it's volume.​

Answers

Answer:

Surface area of a sphere=4πr

2

=154cm

2

⇒4×

7

22

r

2

=154cm

2

⇒r

2

=

4

154

×

22

7

⇒r

2

=

4

49

⇒r=

4

49

∴r=

2

7

=3.5cm

Volume of the sphere=

3

4

πr

3

=

3

4

×

7

22

×(3.5)

3

=

21

88

×42.875‬=179.67cm

3

What are the steps to convert a number from standard notation to scientific notation​

Answers

Answer:

Step-by-step explanation:

Let's take 4200 as an example.

To convert 4200 into scientific notation, follow these steps:

- Move the decimal 3 times to left in the number so that the resulting number, m = 4.2, is greater than or equal to 1 but less than 10

- Since we moved the decimal to the left the exponent n is positive

n = 3

- Write in the scientific notation form, m × 10^n

= 4.2 × 10^3

Therefore, the decimal number 4200 written in scientific notation is 4.2 × 10^3 and it has 2 significant figures.

Simplify: 1/6x + 42 + 2/5x - 8/3 -19

A: 97/30x + 23
B: 21/10x - 23
C: -21/10x + 23
D: 97/30x - 23

Answers

Answer:

A: 97/30x + 23

Which of the following is NOT a type of fat?



Saturated


Unsaturated


Trans-Fats


Fiber

Answers

Answer:

Fiber

Step-by-step explanation:

Fiber is a carbohydrate and not a fat ------ it is all the polysaccharides that humans can't digest.

Answer:

fiber is not a type of fat

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]

Help me please this is due in 3 hour's​

Answers

485, because the mean means you need to calculate the average. to find the average, you take the smallest number from the data set and the largest number. add the largest number by the smallest number and divide by the set of numbers you added (2). Example: (720+250=970 divided by 2 =485)

Please help fast
5. A mixture of paint is prepared by combining /2 parts of yellow paint with % parts
of blue paint. In the following table, find the missing values.
Parts of yellow paint
Parts of blue paint
Total parts
1/2
3/4
1 1/4
1
4 1/2
8

Answers

Answer:

I need helpw with this is too

Step-by-step explanation:

Can someone help me with this please

Answers

Answer:

  C) The difference between the 75th and 25th percentiles is 12 inches.

Step-by-step explanation:

The interquartile range is the length of the "box" in a "box and whisker" plot. One end is the 25th percentile, and the other end is the 75th percentile. It is the difference between the maximum and minimum of the middle 50% of the data.

For the baker's loaf-length data set, the interquartile range being 12 inches means the loaves in the 75th percentile are 12 inches longer than the loaves in the 25th percentile. This could be described by choice C.

What is the difference between log(x/y) and log(x)/log(y)?

Answers

Log(x/y)= x/y times log, log(x)/log(y)= log times x/log times y

I need these answers in 5 MINUTES PLZ HELP

Answers

Answer:

30? I might be wrong soooo

Step-by-step explanation:

15*2=30

Can someone tell me if this is correct if not please correct me in the wrong ones

Answers

Answer:

The answer to 2 is "acute".

The answer to 6 is "right triangle"

For 10, it actually is possible. An example is 50, 50, 80

Step-by-step explanation:

An acute triangle is when each angle is less than 90 degrees.

Any triangle with 90 degrees for one angle counts as a right triangle.

all angle measures in a triangle must add up to 180 degrees. Hope this helps!

please help!
the subject is 9th-grade geometry honors

I need help finding the length for this problem.

Answers

Ya is = 10x-28 see the picture for explanation

Cans of peas are on sale at 2 for $1.19 how much would 12 cans cost

Answers

Answer:uh 2 divide 1.19 and add 12 i think

Step-by-step explanation:

7.14 is the answer .........
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