if a person ran 1/2 of a mile in 1/10 of an hour. How far will the person run in one (1) hour?

Answer:  The answer is -2

Step-by-step explanation: I want points and trust me this answer is correct

Answer:

1.y=-2x+7

2. no

3.yes

Step-by-step explanation:

Answer:

Thus, the measure 660 cm is divided into 300 + 360 in the ratio of 5:6

Step-by-step explanation:

Equations

We are required to divide 660 cm in the ratio 5:6, or 5/6.

Let's call:

x = first part of 660

660 - x = second part of 660

The ratio between them is 5/6.

[tex]\displaystyle \frac{x}{660-x}=\frac{5}{6}[/tex]

The above equation will result in x as the smaller part of 660.

Multiply by (660-x)*6 to eliminate denominators:

[tex]\displaystyle (660-x)*6\cdot\frac{x}{660-x}=(660-x)*6\cdot\frac{5}{6}[/tex]

Operating:

[tex]6x=(660-x)*5[/tex]

[tex]6x=3300-5x[/tex]

Simplifying:

[tex]6x+5x=3300[/tex]

[tex]11x=3300[/tex]

Solving:

[tex]\displaystyle x=\frac{3300}{11}=300[/tex]

The other part is 660 - 300 = 360

Thus, the measure 660 cm is divided into 300 + 360 in the ratio of 5:6

Answer:

1. 6x^2-6

2. 18

Step-by-step explanation:

1. f(g(x))= 3(2x^2)-6= 6x^2-6

2. f(g(-2))= 3 (2(-2)^2)-6= 3(2(4))-6= 3(8)-6=24-6=18

Step-by-step explanation:

x-4)x³+2x²-16x-32(x²+6x+8

x³-4x²

- +

____________

6x²-16x-32

6x²-24x

- +

_________

8x-32

8x-32

- +

_____

X X

______

Hence,

The quotient is x²+6x+8.

Answer:

2,750

Step-by-step explanation:

2x1,125=2,250, 5,000-2,250=2,750

Answer:

b=(d-c)/a

Step-by-step explanation:

Just gotta switch them around a bit

Answer:

715 divided by 25 is 28.6, while 514 divided by 28 is 18.35. Hope this helps!

Step-by-step explanation:

That would be Q my dude.

Hope this helps

Answer:

x + 5

Step-by-step explanation:

Since she works x hours babysitting and 5 hours tutoring the equation should be x + 5

I am so sorry if I am wrong!!

Answer:

1 out of 12

Step-by-step explanation:

12-11=1

Answer:

i^15=-i

i^32=1

1^99=-i

i^22=-1

hope this helps :)

im sorry for the late answer, i put all the answers incase some one needs them, have a nice day!

Step-by-step explanation:

Answer: The answer is "1".

Step-by-step explanation:

Correct on edgen.

Answer:

Step-by-step explanation:

1. Let's see. One time $10 and $3.50 per hour. So $10+$3.50x(where x represents number of hours)

2. Put in the value of x(substitute it).

$10+$3.50x

$10+$3.50(5)

$10+$17.50

Answer-$27.50

Hope it helps!

Answer: center: (-8,7)

radius: 8

Step-by-step explanation:

Answer:

1/ Mean: find the average of the numbers by add up all the numbers then divide by how many numbers there are.

2/ Standard Deviation: First, for each number: subtract the Mean and square the result. Then work out the mean of those squared differences. Take the square root of that and we are done!

Answer:

4 cans of paint

Step-by-step explanation:

Half of a can = 1/8 of the outside of the house.

2 halves = whole can of paint

8/2=4

4 cans of paint

Answer:

Steps are detailed below.

Step-by-step explanation:

The steps to determine the absolute maximum and minimum values of a continuous function on a closed​ interval are;

For example, if we have a function f(x) = x³ - 3x + 2 on the interval (-3, 4)

The steps are;

Step 1:

We will find the first derivative of f(x) which is; f'(x) = 3x² - 3.

Then we will find the critical values of this derivative. The critical values are the values of x that makes f'(x) = 0. But these critical values must fall in between the given interval (-3, 4)

Step 2:

Plug in the critical values gotten in step 1 above into the original f(x) function and note down the answers.

Step 3;

Plug in the endpoint values on the interval (-3, 4) given in the question into the original f(x) function and note down the answers.

Step 4;

The highest and lowest values of f(x) gotten in steps 2 & 3 are the absolute maximum and absolute minimum values respectively of the continuous function f(x).

The average rate of change of the function over the interval 2 < x < 10 is 5

The function is given as:

h(x) = x^2 - 7x + 8

Calculate h(2) and h(10)

h(2) = 2^2 - 7 * 2 + 8

h(2) = -2

h(10) = 10^2 - 7 * 10 + 8

h(10) = 38

The average rate is then calculated as:

Rate = (h(10) - h(2))/(10 - 2)

This gives

Rate = (38 + 2)/(10 - 2)

Evaluate

Rate = 5

Hence, the average rate of change of the function over the interval 2 < x < 10 is 5

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Answer:

-3

Step-by-step explanation:

Answer:

here:- a=4; d:- (1-4)=(-2-1)=>-3

so, nth term= a+(n-1)d

=> 4+(n-1)-3=>4-3n+3=>7-3n

Step-by-step explanation:

nth term=(7-3n)

Step-by-step explanation:

I hope it helps man this much .

Answer:

D

Step-by-step explanation:

5.3x − 8.14 + 3.6x + 9.8

group the numbers on one side and the x's on the other

5.3x + 3.6x - 8.14 + 9.8

solve

8.9x +  1.66

[tex]\large\underline{\bf \red{Step \:by\: Step \:Explanation:}}[/tex]

Given two equations are :

We may write them as ,

Multiplying equⁿ (i) by 2 :

⇒ 2(2x + y - 6 ) = 0.

⇒ 4x + 2y - 12 = 0 .....................(iii) .

Subtract equⁿ (ii) from equⁿ (iii) :-

⇒ 4x + 2y - 12 = 0

ㅤ- 4x + 3y - 8 = 0 [ Sign changes ]

__________________

⇒ 5y - 20 = 0.ㅤㅤㅤㅤㅤ

⇒ 5y = 20.

⇒ y = 20/5.

⇒ y = 4

Put this value in (i) to obtain x .

⇒ 2x + y - 6 = 0.

⇒ 2x +4 - 6 = 0.

⇒ 2x - 2 = 0.

⇒2x = 2 .

⇒ x = 2/2.

⇒ x = 1 .

Hence the value of x is 1 & y is 4.

[tex]\boxed{\purple{\bf\pink{\dag}\:Hence\:the\: correct\: option\:is\:[b]\:(1,4)}}[/tex]

Answer:

66.5 in or 5.5 ft (rounded)

Step-by-step explanation:

Answer:

5 ft    6 1/2 inches

Step-by-step explanation:

6 1/4 ft

1/4 ft is 3 inches

6 ft 3 inches

Subtract 8 1/2 inches

6 ft  3 inches

-      8  1/2 inches

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

borrow from the ft  ( 1 ft = 12 inches)

5 ft  3+12 inches

-      8  1/2 inches

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

5 ft  15 inches

-      8  1/2 inches

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

5 ft    6 1/2 inches

Answer:

the answer is 39 and 14.

The solution is, the numbers are 20 and 29.

Subtraction is the process of taking away a number from another. It is a primary arithmetic operation that is denoted by a subtraction symbol (-) and is the method of calculating the difference between two numbers.

Here, we have,

given that,

The sum of two numbers is 49

and the difference between these two numbers is 9.

let, the numbers are x & y

so, we get,

according to question:

x+y = 49 ...1

x-y = 9 ....2

so, simplifying we get,

2x = 58

or, x = 29

so, we get,

y = 20

Hence, The solution is, the numbers are 20 and 29.

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Answer:

x = 5

Step-by-step explanation:

-3 = -2x+7

-10 = -2x

5 =x

The value of x from the given function is 5.

The given function is w(x)=-2x+7..

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

Now, put w(x)=-3 in the function and simplify.

That is, -3=-2x+7

⇒ 2x=7+3

⇒ 2x=10

⇒ x=5

Therefore, the value of x from the given function is 5.

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Answer: He can make 5 shirts

Step-by-step explanation:

15  1/2 ÷ 2  5/6 = 5 8/17

Answer:

The midpoint of the points (2,8) and (0,4) is given by:

(

2

x

1

+x

2

,

2

y

1

+y

2

)=(

2

2+0

,

2

8+4

)=(

2

2

,

2

12

)=(1,6)

We must must transform the standard form equation −3x+6y=5 into a slope-intercept form equation (y=mx+b) to find its slope.

−3x+6y=5 (Subtract 3x on both sides.)

6y=3x+5 (Divide both sides by 6.)

y=

6

3

x+

6

5

y=

2

1

x+

6

5

The slope of our first line is equal to

2

1

. Perpendicular lines have negative reciprocal slopes, so if the slope of one is x, the slope of the other is

x

1

.

The negative reciprocal of

2

1

is equal to −2, therefore, −2 is the slope of our line.

Since the equation of line passing through the midpoint (1,6), therefore, substitute the given point in the equation y=−2x+b:

6=(−2×1)+b

6=−2+b

b=6+2=8

Substitute this value for b in the equation y=−2x+b:

y=−2x+8

Hence, the equation of the line is y=−2x+8.

Step-by-step explanation:

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