Calculate X you must include the steps in your solution and the definitions and/or conjuncture that you use

Answer:

Swimming speed, S = 1.50 km/hr

Step-by-step explanation:

Let Kailee's running speed be R

Let Kailee's biking speed be B

Let Kailee's swimming speed be S

Given the following data;

Time for swimming = 1 hour.

Time for biking = 1.75 hour.

Time for running = 1 hour.

Total distance = 55.5km

Translating the word problem into an algebraic equation, we have;

Biking speed = 2*8S = 16S

Running speed = 8S

We know that the distance covered by an object or body is given by the formula;

[tex] Distance = speed * time[/tex]

Now we would find the distance covered in each activity (biking, running and swimming).

For biking;

[tex] Distance, D_{1} = 1.75*16S [/tex]

Distance, [tex] D_{1} [/tex] = 28S

For running;

[tex] Distance, D_{2} = 1*8S[/tex]

Distance, [tex] D_{2} [/tex] = 8S

For swimming;

[tex] Distance, D_{3} = 1*S[/tex]

Distance, [tex] D_{3} [/tex] = S

The equation for the total distance covered in the triathlon is given by;

Total distance = sum of all distances covered

[tex] Total distance = D_{1} + D_{2} + D_{3} [/tex]

Substituting into the equation, we have;

[tex] 55.5 = 28S + 8S + S[/tex]

[tex] 55.5 = 37S[/tex]

[tex] S = \frac {55.5}{37} [/tex]

S = 1.50 km/hr

Therefore, Kailee’s average swimming speed is 1.50 kilometers per hour.

Answer:

4/1x plus 2

Step-by-step explanation:

Answer:

4800

Step-by-step explanation:

3000\5=600

600*8=4800

How to Simplify a Ratio A : B when A and B are both whole numbers

List the factors of A

List the factors of B

Find the greatest common factor of A and B, GCF(A, B)

Divide A and B each by the GCF

Use the whole number results to rewrite the ratio in simplest form

If the GCF = 1 then the ratio is already in simplest form.

How to Simplify a Ratio A : B when A and B are not whole numbers, in this order

If A or B are mixed numbers convert mixed numbers to improper fractions

If A or B are decimal numbers multiply both values by the same factor of 10 that will eliminate all decimal places

If one value is a fraction and the other a whole number, reduce the fraction to a whole number if you can or turn the whole number into a fraction by giving it a denominator of 1.

If both A and B are fractions and have like denominators, multiply both fractions by the denominator to eliminate it and you are left with two whole numbers

If both A and B are fractions and have unlike denominators, find the LCD(A, B) and rewrite the fractions with the LCD as the denominator. Multiply both fractions by the denominator to eliminate it and you are left with two whole numbers

If both A and B are whole numbers, Find the greatest common factor of A and B, GCF(A, B), and divide A and B each by the GCF

Example: Simplify the ratio 6 : 10

The factors of 6 are: 1, 2, 3, 6

The factors of 10 are: 1, 2, 5, 10

Then the greatest common factor of 6 and 10 is 2

Divide both terms by 2

6 ÷ 2 = 3

10 ÷ 2 = 5

Rewrite the ratio using the results. The simplified ratio is 3 : 5.

6 : 10 = 3 : 5 in simplest form

Answer:

List the factors of A.

List the factors of B.

Find the greatest common factor of A and B, GCF(A, B)

Divide A and B each by the GCF.

Use the whole number results to rewrite the ratio in the simplest form.

Step-by-step explanation:

I hope this helps!!!

The translation of the given question is

f (x) = - 8x− 4 what is the slope y and the position coefficient f (x) = (6x− 12): 3 what is the slope y and the position coefficient

Answer:

We need to determine slope and position coefficient which is the intercept.

f (x) = - 8x− 4   we know that f(x) is y

slope intercept form of the line

y = -8x -4

slope = -8

intercept = -4

similarly

f (x) = 6x− 12

y = 6x -12

slope =6

intercept = -12

Answer:

answer will be 0

plz mark me as brainliest

Answer: 7 2/3

Step-by-step explanation: got it wrong and it showed me the right answer on khan academy

The volume of the rectangular prism is 23/3 units³.

We need to find the volume of the following rectangular prism.

The formula to find the volume of the rectangular prism is Volume=l×b×h.

Now,

Height of the rectangular prism = 4/3 units

Area of one of the surfaces of the rectangular prism = 23/4 units²

The volume of the rectangular prism = 4/3 units × 23/4 units²

= 23/3 units³

Therefore, the volume of the rectangular prism is 23/3 units³.

To learn more about the volume of the rectangular prism visit:

https://brainly.com/question/21308574.

#SPJ2

Answer:

1

Step-by-step explanation:

6 ÷ 2(1 + 2) ; use "please excuse my dear aunt sally", please for parenthesis

6 ÷ 2(3); now do "my" for multiplication

6 ÷ 6 ; now do "dear" for division

1

Answer:

The answer is (5x2 – 2)(25x4 + 10x2 + 4)

Answer:

y intercept is 24 (i think)

Step-by-step explanation:

-4t is x

+24 is y

Answer:

C=30-5t

Step-by-step explanation:

The y-intercept of the function is 30 which represents the number of chocolates in the original box.

that's the correct answer^^^^

Answer:

Step-by-step explanation:

as

I=PRT

SO

T=I/PR

Answer:

∠3, it is quite clear

Step-by-step explanation:

Answer: Jason likely MADE an error when working the equation in his notebook because ONLY THE Y-INTERCEPT MATCHES the slope and the y-intercept of the equation he wrote.

Step-by-step explanation:

Answer:

pls explain in more detail and attach pic cus ive got no clue what ur asking

Answer:

a=250+40*t

Step-by-step explanation:

Answer:

a = 250 + 40•t

Answer:

The ones you have chosen are correct

Step-by-step explanation:

:)

Answer: sin: [tex]\frac{1}{3}[/tex] cos: [tex]\frac{\sqrt{8} }{3}[/tex] tan: [tex]\frac{\sqrt{8} }{8}[/tex] csc: 3 sec: [tex]\frac{3\sqrt{8} }{8}[/tex] cot: [tex]\sqrt{8}[/tex]

Step-by-step explanation: We know that csc is a reciprocal of sinθ so csc3 is sin 1/3. Then draw the right triangle HYP=3 OPP=1 ADJ= [tex]\sqrt{3x^{2} -1}[/tex] =[tex]\sqrt{8}[/tex]

Answer:

85

Step-by-step explanation:

The range is defined as the difference between the highest observation and lower observation in a data.

Here,

The Highest observation in this data= 91

The Lowest observation in this data=6

Hence,

Range of the data= Highest observation - Lower observation

=91-6=85

Answer:

First, collect the like terms

3x+2x=180+11-5

Solve for x

5x=191-5

5x=186

x=186/5=37.2

Step-by-step explanation:

I hope it helped a little, please give me brainliest

Answer:

x = 37.2

see first you've got to remove terms without the pronumeral to the other side of the equal to.

Answer:

$11.65

Step-by-step explanation:

20% of 58.25, "of" in math means multiplication. So you multiply it.

To get 20% as a fraction you move the decimal 2 places to the left, and it's .2 or .20 so you get this equation:

.20 * 58.25

So your answer is, $11.65.

To find the total of the bill including the tip it would just be

11.65 + 58.25 = 69.90

Answer: If it is 4-x, then the answer is b, no solution. If it is 4x, then it is a, one solution.

Step-by-step explanation:

Answer:

8+2i

Step-by-step explanation:

Combine like terms

3+5=8

4i-2i=2i

Answer: 8 + 2i

Step-by-step explanation:

1) Rewrite the two complex numbers in standard form: (3 + 4i) + (5 − 2i) = 3 + 5 + 4i - 2i = 3 + 5 + 2i

2) Add the real parts and the imaginary parts separately: Real parts: 3 + 5 = 8 Imaginary parts: 2i + (-2i) = 0

3) Put the results in standard form: 8 + 0i = 8 + 0i = 8 + 0i = 8 + 0i = 8 + 0i = 8 + 2i

Answer:

12

Step-by-step explanation:

Answer:

17,850

Step-by-step explanation:

The 3rd equation, as if you solve for x as shown, you will end up with equation x=8.

[tex]\frac{5}{4}x-\frac{3}{2}x=-4+2[/tex]

[tex]\frac{5}{4}x-\frac{6}{4}x=-2[/tex]

[tex]-\frac{1}{4}x=-2[/tex]

[tex]x=8[/tex]

Answer:inequality form  x  ≤  -1

for 3x + 9  ≤ 6

Step-by-step explanation:isolate the variable by dividing eash side by factors that dont contain the variable

Answer:

Answer Varies

Step-by-step explanation:

For the 1st equation, there are a lot of numbers that could fit x, such as any negative number, such as -1,-2,-3, etc. For the 2nd equation, 9 and below would work. Please correct me if I am wrong because everybody makes mistakes.