You are training for the upcoming bike and hike race. On the days you bike, you will ride 8 miles. On the days you hike, you will walk 3 miles. By the end of the training you want to have covered at least 200 miles. Write a linear inequality to represent this situation. Let x represent days biked and y represent days hiked.

Answer:

  x +2y +4z = 27

Step-by-step explanation:

The parallel plane will have the same coefficients of x, y, z as the given plane. We notice those have a common factor of 2, so the equation can be reduced to ...

  x +2y +4z = constant

This equation is satisfied for every point on the line, so we have ...

  (3 +2t) +2(t) +4(6 -t) = constant . . . . . substituting for x, y, z

  3 +2t +2t +24 -4t = constant

  27 = constant

The equation of the desired plane is ...

  x +2y +4z = 27

The normal to the given plane is (2, 4, 8), and the plane we want is parallel to this one so it has the same normal vector.

When t = 0, the given line, and thus the plane we want, passes through the point (3, 0, 6).

Then the equation of the plane is given by

(2, 4, 8) • (x - 3, y - 0, z - 6) = 0

2 (x - 3) + 4y + 8 (z - 6) = 0

2x + 4y + 8z = 54

or

x + 2y + 4z = 27

Answer:

[tex]x=k\frac\pi2; k\in \mathbb{Z}[/tex]

Step-by-step explanation:

Let's use the formulas that change a sum of two sines into a product:

[tex]sin\ p + sin\ q =2 sin{\frac{p+q}2}cos{\frac{p-q}2}[/tex]

[tex]sin 3x+sinx =2sin \frac{3x+x}2 cos \frac{3x-x}2 = 2(sin2x)(cosx)=0[/tex]

At this point it's either [tex]sin 2x =0 \implies 2x= k\pi \rightarrow x = k\frac{\pi}2[/tex]

or [tex]cosx=0 \rightarrow x=\frac\pi2+ k\pi = (2k+1)\frac\pi2[/tex]

with the usual condition of [tex]k\in \mathbb{Z}[/tex].

Now if you look at both sets of solutions, first one considers all multiples of [tex]\frac\pi2[/tex], while the second only the odd multiples. it means that the first includes the second.

Answer:

a=0.62, b=7/9, c=10/9

Step-by-step explanation:

Brainliest would be appreciated

Answer:

B, if its not b then its C.

Step-by-step explanation: hope this is correct and helps you!

Answer:

67 quarters

Explanation:

Answer:

In terms of %, it's 20%.

Step-by-step explanation:

Used an ROI calculator:

Answer:

6:4:3

Step-by-step explanation:

each can be divided by 7

Answer:

6 4 3

Step-by-step explanation:

Answer:

Step-by-step explanation:

Arithmetic sequences have a common difference. Often, checking for that is the easiest. Geometric sequences have a common ratio. If there is neither a common difference nor a common ratio, then the sequence is not one of these types.

The difference or ratio refers to the relation of a term in the sequence to the one before it. For example, 94.1 -98.3 = -4.2. If the same difference exists for subsequent pairs of terms, then the difference is said to be "common." Likewise, 3.5/1.75 = 2. If the same ratio exists for subsequent pairs of terms, it is a "common" ratio.

__

98.3, 94.1, ... -- arithmetic (common difference = -4.2)

1, 0, -1, 0, ... -- neither

1.75, 3.5, ... -- geometric (common ratio = 2)

-12, -10.8, ... -- arithmetic (common difference = -1.2)

-1, 1, ... -- geometric (common ratio = -1)

Answer: Arithmetic (98.3,94.1, 89.9, 85.7,...)  (-12,-10.8, -9.6,-8.4)

Geometric (1.75,3.5,7, 14) (-1,1,-1,1,...)

Neither (1,0,-1,0,...)

Step-by-step explanation:

I guarantee these are correct.

Answer:

Step-by-step explanation:

d = √((9 -(-2))² + (5 - 2)²)

d = √(11² + 3²)

d = √130

d = 11.401754250...

d = 11.4 units

Answer:

11.4 to the nearest tenth.

Step-by-step explanation:

Distance = sqrt((5-2)^2 + (9-(-2))^2)

= sqrt(3^2 + 11^2)

= sqrt 130

= 11.402

OD Step-by-step explanation:

The median of the of the number of newspapers sold by shopkeeper is 202 .

Given,

A store manager kept track of the number of newspapers sold each week over a seven-week period.

81 71 202 113 269 248 242.

Now,

The median of the dataset is the middle value of the dataset, which means that 50 % of the values are below the mean and 50% of the values are above the mean.

Rearrange the dataset in ascending order as

71, 81, 113, 202, 242, 248, 269.

Thus the median will be the 4th value.

Hence the median will be 202.

Thus the correct option will be 202 Newspapers.

Know more about median,

https://brainly.com/question/300591

#SPJ4

Answer:

y is 1

Step-by-step explanation:

6+1=7, so 7 is = to 6+1

Answer:

[tex]y\geq-5[/tex]

Step-by-step explanation:

Because [tex]x+5[/tex] cannot be negative, then [tex]x=-5[/tex] has to be the absolute minimum of the function given its domain. Therefore, all real values of x greater than -5 are all values that exist in the function's range.

Answer:

I don't have any idea of that question

Step-by-step explanation:

I'm sorry

Answer:

Step-by-step explanation:

2 + 14 = 16 x 3 = 48

Mr. Hickory needs to charge more than $60 for each tree in order to make a profit of at least $2500

Let x represent the amount of money charge for each tree.

The cost of growing the trees is $2300.

The revenue = 80x

Profit = Revenue - cost

Hence, to make a profit of at least $2500:

80x - 2300 ≥ 2500

80x ≥ 4800

x ≥ 60

Mr. Hickory needs to charge more than $60 for each tree in order to make a profit of at least $2500.

Find out more on profit at: https://brainly.com/question/1078746

Answer:

A-4.51

Step-by-step explanation:

I was going to ask to what place but then I saw all the others wouldn't make sense.

Answer:

10

Step-by-step explanation:

5+5=10

each hand has five fingers so if you count all of the fingers on both hands, you will get 10

Answer:

-10 degrees Celsius

Step-by-step explanation:

The more negative a temperature in degrees Celsius is, the colder it is.

Answer:

the data that is shown represents a function

Step-by-step explanation:

the easiest way to know is by looking at the x-variable. Each y-variable needs one x-variable. the x-variable should not be seen paired with another y-variable.

Answer:

[tex]259 \frac{21}{46}[/tex]

Step-by-step explanation:

In order to solve this question we will need to use BODMAS to help us get a reasonable answer. If you don't know what BODMAS is it stands for:

B: Brackets

O: Orders

D: Division

M: Multiplication

A: Addition

S: Subtraction

First Step:

1.  [tex]275/92*50[/tex]

First we multiply 50 by 275. Then we divide this result by 92.

[tex]275/92*50=6875/46[/tex]

Second Step:

2. [tex]45+45-45+45-45+65[/tex]

Now lets subract and minus and such that we get 110.

[tex]110[/tex]

Third Step:

Now we combine both these value and we get [tex]259 \frac{21}{46}[/tex]

Hey there!

The expression 26-(-17) can be rewritten as

26+17

Remember:

Hope it helps. Use the comment section to clarify your doubts.

Answered by

~A felicitous teen who is preparing for the New Year's Day

Good luck. :-)

Answer:

All of them are composite

Step-by-step explanation:

In math, composite numbers can be defined as the whole numbers that have more than two factors. Whole numbers that are not prime are composite numbers, because they are divisible by more than two numbers.

Answer:

C? yikes if im wrong mb

Step-by-step explanation:

5/6 in simpliest, its C id have to assume

Answer:

-5

Step-by-step explanation:

We use the slope formula to find the slope

m = ( y2-y1)/(x2-x1)

    = ( 7-2)/(5-6)

    = 5/-1

    = -5

okay. first you must get the properties of a triangle. all three angles are 180 degrees in total. the angle of a straight line is also 180 degrees. both the triangle and the straight line shares the same angle ACB. so you can conclude that 5x-35 = 2x+58

-2x from both sides and 3x-35= 58

so 3x = 58+ 35= 93

x= 31

ABC = 31x2 = 62

BCA = 180-58-62= 60 degrees

please give me brailiest . thanks!

Answer:

x =31°

ABC is 62°

BCA IS 60°

I HOPE THIS IS HELPING

Answer:

Step-by-step explanation:

This is the equation. Read it carefully.

1/2 * 1/7 T = 1/3 * 1/5 * 90   Reduce

(1/14) * T = 1/15 * 90

1/15 * 90 = 6

(1/14)*T = 6                          Multiply both sides by 14

T = 14 * 6

T = 84

Answer:

D

Step-by-step explanation:

5m^3 n^5 (25m^6 n)

-->5m^3*25n^6m^6

-->125m^9 n^6