Michael loves to run. It takes him 25.3 minutes to complete a 10 mile run. At this rate, how long would it take him to run 16 miles?

Answer:

The scale factor used to draw the scaled copy is a factor of 5

Step-by-step explanation:

Here, we are interested in calculating the scale factor which was used to transition the original rectangle to the new scaled copy.

Firstly, there is a way to relate how the scale factor of the sides relate to the scale factor of the area. What we are saying here is that the scale factor of the sides is never equal to that of the area;

For a 2 cm^2 area let’s say the sides are 1 by 2 ; this gives us an area as said

Now, to get 50cm^2, we can see that the scale factor of both areas is 25 (2 to 50)

So the area has been scaled 25 times the original area. So how has the sides been scaled?

Using a general principle, the scale used to scale the area is the square of the scale used to scale the sides. What are we saying here? if the area is scaled by 4, then the sides are scaled by 2

So in this particular case, the area is scaled by a factor of 25

Now, the scale factor of the sides will be the positive square root of this which is 5

Hence, we can conclude that the sides of the smaller triangles were each multiplied by 5 to arrive at the sides of the bigger one which makes it that the scale factor used to draw the scaled copy is 5

Answer:orange graph =-2

Blue graph -2 or 2

Step-by-step explanation:

The value of the orange graph at x=1 is y = [tex]\rm \pm[/tex]2,  the blue graph has the value y = -2.

A graph is a display of the ordered pairs of a function.

The orange graph is a parabola and the blue graph is a straight line.

The intersection of both the graphs is at x =1

when x =1 , the orange graph has a value y = [tex]\rm \pm[/tex]2

when x=1, the blue graph has value y = -2

Therefore, the value of the functions has been determined at x = 1.

The complete question is attached with the answer.

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Answer:

Step-by-step explanation:

its D which is 7

Answer:

C

Step-by-step explanation:

x + y = 2

Subtract x from both sides;

y = -x + 2

3x - 4y = 27

Substitute y;

3x - 4(-x + 2) = 27

Distribute;

3x + 4x - 8 = 27

7x - 8 = 27

Add 8 to both sides;

7x = 35

Divide both sides by 7;

x = 5

Answer:

work is attached and shown

The coordinates of the midpoint will be (-2,-3).

A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis. A coordinate system in geometry is a method for determining the positions of the points by using one or more numbers or coordinates.

A midpoint is a point that lies on a line connecting two other locations and is in the middle of the line. Given that the midpoint of AB is M(3,-4) and the coordinates of A are (8, -5).

The midpoint will be calculated by using the formula below:-

( 8 + x ) / 2 = 3

( 8 + x ) = 6

x = -8 + 6 = -2

( -5 + y ) / 2 = -4

( -5 + y ) = -8

y =  -8 + 5 = -3

Therefore, the coordinates of the midpoint will be (-2,-3).

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Answer:

2(x + 1) = 8x - 5

assuming you already made the first step, the next step is to distribute the 2

2x + 2 = 8x - 5

if you havent made the first step, above is the first step.

the second step would be to combine like terms by subtracting 2x and adding 5 to both sides

7 = 6x

then you would divide both sides by 6

x = 7/6

Answer:

The answer is

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

To find the equation of the parallel line we must first find the slope of the original line

The equation of the line is

y = 1/4x + 5

Comparing with the general equation above

Slope / m = 1/4

Since the lines are parallel their slope are also the same

Slope of parallel line = 1/4

So the equation of the line using point (2,-1) and slope 1/4 is

[tex]y + 1 = \frac{1}{4} (x - 2) \\ y - 1 = \frac{1}{4} x - \frac{1}{2} \\ y = \frac{1}{4} x - \frac{1}{2} + 1[/tex]

We have the final answer as

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

Hope this helps you

Answer:

f(x)+3 =9+3 =12

2f(x)=2*9=18

2f(x)+3= 18=3 =21

Given :

Worth of new car , C = $28000 .

Depreciates in value of car , D = 9 % .

To Find :

Use the variable y to represent the value of the car after t years.

Solution :

Depreciation formula is given by :

[tex]y=C(1-\dfrac{D}{100})^t[/tex]

Putting all given values , we get :

[tex]y=C(1-\dfrac{D}{100})^t\\\\y=28000\times (1-\dfrac{9}{100})^t\\\\y=28000( \dfrac{91}{100})^t[/tex]

Therefore , the required equation is [tex]y=28000( \dfrac{91}{100})^t[/tex] .

Hence , this is the required solution .

Answer:

1foot(ft.)1yard(yd.)1mile(mi.)===12inches(in.)3feet(ft.)5,280feet(ft.)

Step-by-step explanation:

Answer: p=8h

Hope this helped

Step-by-step explanation:

Think about the rule when multiplying powers together.

When multiplying two powers that have the

same base, simply add their exponents.

In this problem, each power has a base

of a and our exponents are m and n.

So adding these exponents together, we have a^m + n.

Answer:

$65.70

Step-by-step explanation:

She would be giving 18 cents each day for 365 day so you multiply 18x365 which equals 6570 and that written in dollars is $65.70

Answer:

the answer is b!!

Answer:

The total number of pages from page X to page Y is Y minus X plus 1.

So from 1 to 9, there are 9 minus 1 is 8 plus 1 is 9.

Step-by-step explanation:

Answer:

[tex]n^{2}(-3) -8[/tex]

Step-by-step explanation:

So the "product of" means the answer to a multiplication problem. That means -3 is being multiplied by a number which is squared. I used the variable "n" for number but you could use any letter you want.

This is what we have so far,

[tex]n^{2} \\[/tex] x -3 or [tex]n^{2}[/tex](-3)

The term decreased means to reduce or subtract. Which means we are left with....

[tex]n^{2}(-3) -8[/tex]

Hope that helps and have a great day!

Answer:

PT= 130

Step-by-step explanation:

Since T is the midpoint of segment PQ,

PT = TQ

7x - 24 = 6x-2

Subtract 6x both sides and add 24 both sides

7x -6x - 24 = 6x -6x -2

x - 24 + 24 = -2 + 24

x= 22

Substitue x into PT

7(22) - 24

154 - 24

PT= 130

Answer:

hello!

ninety two is a term, an expression, a constant but not a variable

hope it helps you!

Answer:

Ninety-two is all of the following except a variable

The correct option will be the option b i.e., the maximum.

It is given that Joseph is earning an annual salary of $24,895. Later he is offered with an ad.

We have to choose the correct option i.e., the minimum or the maximum he would earn per month if he is paid.

What would be the value if x is added to 40 ?

The value will be 40 + x.

Let's assume Joseph is paid $ x for the ad.

Annual salary of Joseph $24,895.

The salary which he will get after the ad offer will be ;

= 24895 + x

So , the annual salary get's increased after the addition of salary of ad offer.

Thus , the maximum Joseph would earn per month and the correct option is option b.

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Answer:

The probability is 1/28,561

Step-by-step explanation:

Here, we want to find the probability that each of the players will receive exactly one ace.

In a deck of cards, we have 4 suites of 13 cards each, with each of the suites consisting of 1 ace.

So, the probability of getting an ace for each of the four players will be 4/52 = 1/13

Now, the probability of each of the players getting exactly one ace will be; first got one ace , second got one , third got one and fourth got one.

mathematically, this probability will be 1/13 * 1/13 * 1/13 * 1/13 = (1/13)^4 = 1/28,561

Answer:

Yes, many times over.

Step-by-step explanation:

I'm sure there is a typo in the question.

640,000 mg = 0.64 kg

Answer:

74

Step-by-step explanation:

2(28x9)

74 is the perimeter

Answer:

70

Step-by-step explanation:

30 + 40 = 70

Answer:

9 inch by 15 inch

Step-by-step explanation:

45/5=9 in

75/5=15 in

Answer:

x = 11/4

Step-by-step explanation:

[tex]\frac{x+8}{4} = \frac{6x+5}{8}[/tex]

Step 1: Cross-multiply.

[tex](x+8)*(8)=(6x+5)*(4)[/tex]

[tex]8x+64=24x+20[/tex]

Step 2: Subtract 24x from both sides.

[tex]8x+64-24x=24x+20-4x[/tex]

[tex]-16x+64=20[/tex]

Step 3: Subtract 64 from both sides.

[tex]-16x+64-64=20-64[/tex]

[tex]-16x=-44[/tex]

Step 4: Divide both sides by -16.

[tex]\frac{-16x}{-16} = \frac{-44}{-16}[/tex]

[tex]x = \frac{11}{4}[/tex]

Answer:

[tex]x > \frac{16}{3} [/tex]

Step-by-step explanation:

[tex]4x - 8 > 24 - 2x \\ 4x + 2x > 24 + 8 \\ 6x > 32 \\ x > \frac{16}{3} [/tex]

Answer:

no i dont think so

Step-by-step explanation:

1) multiply both sides by p

5/9=-10p

2) divide by -10 to get p

5/9 divided by -10/1

(keep, change flip)

5/9* -1/10

-5/90

therefore p=-5/90

Answer:

No, the answer is -18

Step-by-step explanation:

[tex]\frac{5}{9}[/tex]p = -10

[tex]\frac{5p}{9}[/tex] = -10            CROSS MULTIPLY

-90=5p             DIVIDE BOTH SIDES BY 5

-18 = p