Max wants to run 512 miles to train for track season. If the total length around the track is
34 mile, how many laps does Max need to run around the track?

Answer:

Step-by-step explanation:

 { first do the operation which is inside parenthesis, then division, multiplication, subtraction and addition}

3* (9-5) - 3*2 = 3* 4 - 3*2  

                     = 12 - 6  =  6

(16-8) / (4-2)  = 8 / 2 = 4        

3* (9-5) - 3*2   > (16-8) / (4-2)

Answer:

Part 1) The perimeter of rectangle is equal to 24 units

Part 2) The area of rectangle is equal to 32 square units

Step-by-step explanation:

Part 1) Find the perimeter of rectangle

we know that

The perimeter of rectangle is equal to

[tex]P=2(L+W)[/tex]

where

L is the length of rectangle

W is the width of rectangle

we have

[tex]F(-2,5),R(-2,1),O(6,1),G(6,5)[/tex]

Plot the figure to better understand the problem

using a graphing tool

see the attached figure

Remember that in a rectangle opposite sides are congruent and the measure of each interior angle is equal to 90 degrees

so

[tex]FG=RO=L\\RF=OG=W[/tex]

the formula to calculate the distance between two points is equal to

[tex]d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}[/tex]

step 1

Find the distance FG

[tex]F(-2,5),G(6,5)[/tex]

substitute the values

[tex]d=\sqrt{(5-5)^{2}+(6+2)^{2}}[/tex]

[tex]d=\sqrt{(0)^{2}+(8)^{2}}[/tex]

[tex]FG=8\ units[/tex]

step 2

Find the distance RF

[tex]R(-2,1),F(-2,5)[/tex]

substitute the values

[tex]d=\sqrt{(5-1)^{2}+(-2+2)^{2}}[/tex]

[tex]d=\sqrt{(4)^{2}+(0)^{2}}[/tex]

[tex]RF=4\ units[/tex]

step 3

Find the perimeter

[tex]P=2(L+W)[/tex]

we have

[tex]FG=RO=L=8\ units\\RF=OG=W=4\ units[/tex]

substitute

[tex]P=2(8+4)=24\ units[/tex]

Part 2) Find the area of rectangle FROG

we know that

The area of rectangle is equal to

[tex]A=LW[/tex]

we have

[tex]FG=RO=L=8\ units\\RF=OG=W=4\ units[/tex]

substitute

[tex]A=(8)(4)=32\ units^2[/tex]

The area and the perimeter of the rectangle FROG is evaluated as:

For a rectangle with length and width L and W units, we get:

The shortest distance(straight line segment's length connecting both given points) between points ( p,q) and (x,y) is:

[tex]D = \sqrt{(x-p)^2 + (y-q)^2} \: \rm units.[/tex]

The coordinates of the points of the rectangle FROG are given as:

F(-2,5), R(-2,1), G(6,5), and O(6,1) (from its plot, as given below)

FR and RO are length and width pair(we can call any one of them as length and other as width) of the considered rectangle as they are adjacent to each other.

We denote length of a line segment AB by |AB|

Thus, we get:

Now with the help of length and width, we can evaluate its perimeter and area, as shown below:

Learn more about distance between two points here:

https://brainly.com/question/16410393

Answer:

  -x^4y^2 +7x^3y^3 +2x^2y^4 -3xy^5

Step-by-step explanation:

The powers of x in the terms of the given expression are ...

  4, 3, 1, 2

so, we want to swap the last two terms to put them in the desired order:

  -x^4y^2 +7x^3y^3 +2x^2y^4 -3xy^5

｡☆✼★ ━━━━━━━━━━━━━━  ☾  

10,000,000

It is is the tens millions place.

Have A Nice Day ❤    

Stay Brainly! ヅ    

- Ally ✧    

｡☆✼★ ━━━━━━━━━━━━━━  ☾

Answer:

The eight place from the right.

Step-by-step explanation:

1, 10, 100, 1.000, 10.000, 100.000, 1.000.000, 10.000.000

Answer:

m=-1/4 or - 0.25

watch explanation

Answer:

- 1/4

Step-by-step explanation:

slope (m) = difference of y / difference of x

m = (10 - 11) / (-4 - (-8)) = -1 / 4

Answer:

Step-by-step explanation:

A) 1/3 of 5

1/3 of 5 = (1/3)*5 = 1*5/3 = 5/3

Answer:

[tex](n+2)^2+6[/tex]

Step-by-step explanation:

Pattern 1 consists of

[tex]3+3\times 3+3[/tex] small squares (here n = 1 and [tex]3\times 3=(1+2)\times (1+2)[/tex]).

Pattern 2 consists of

[tex]3+4\times 4+3[/tex] small squares (here n = 2 and [tex]4\times 4=(2+2)\times (2+2)[/tex]).

Pattern 3 consists of

[tex]3+5\times 5+3[/tex] small squares (here n = 3 and [tex]5\times 5=(3+2)\times (3+2)[/tex]).

Thus, pattern n consists of

[tex]3+(n+2)\times (n+2)+3=6+(n+2)^2[/tex] small squares.

-18u+16u-7=9

-2u - 7 = 9       (combine like terms)

-2u = 16           (add 7 on both sides)

u = -8

Answer:

The correct answer to this problem is u = -8.

Step-by-step explanation:

To solve this problem, we first must combine like terms on the left side of the equation.  This means adding together the two terms that have a "u" multiplied by a number.  To combine them, we simply add the coefficients together, as we would with constant values.  This is modeled below:

-18u+16u-7=9

-2u - 7 = 9

Next, we want to add 7 to both sides of the equation.  This will cancel out the -7 on the left side of the equation, isolating the term with the variable u (what we are trying to solve for).

-2u - 7 + 7 = 9 + 7

-2u = 16

Finally, we want to divide both sides by -2 in order to isolate the variable u.  This will get rid of the coefficient of negative 2 and give us our answer.

u = 16/-2 = -8

Therefore, the answer to this question is u = -8.

Hope this helps!

Answer:

y = -2x - 6

The y-intercept will be (0,-6)

One point will be at (1,-8)

The line will go downward since it is a negative slope

Step-by-step explanation:

y−2=−2(x+4)

Distribute

y - 2 = -2x - 8

Move the constant to the other side

y - 2 = -2x - 8

  +2 =        +2

y = -2x - 6

Good morning,☕️

Answer:

Step-by-step explanation:

_________________________

3 notifications books to 2 novels

then

18 notifications books to 12 novels

then

12 novels to 4 cookbooks

finally, we get 18 notifications books to 4 cookbooks

________________________

2 cookbooks to 6 novels

then

6 novels to 9 notifications books

finally ,we get 2 cookbooks to 9 notifications books

_________________________

2 novels to 3 notifications books

Finally ,we get  8 novels to 12 notifications books.

:)

Answer:

18 notifications books to 4 cookbooks

2 cookbooks to 9 notifications books

8 novels to 12 notifications books.

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

quadratic formula:

x = [-b ± sqrt(b^2 - 4ac)] / 2a

1. find a, b, and c

a = 1

b = -3

c = 1

2. plug values into formula

x = [3 ± sqrt(9-4•1•1)] / 2

3. simplify

x = [3 ± sqrt(5)] / 2

This is B.

Answer:

Option b) is correct

ie., [tex]x=\frac{3\pm \sqrt{5}}{2}[/tex]

Step-by-step explanation:

Given quadratic equation is [tex]x^{2}-3x+1=0[/tex]

To find the solutions of given equation:

Solution of quadratic equation [tex]ax^{2}+bx+c=0[/tex]

[tex]x=\frac{-b\pm \sqrt{b^{2}-4ac}}{2a}[/tex] where a,b, are coefficients of [tex]x^{2}[/tex] and x respectively and c is constant.

From the given quadratic equation a=1, b=-3 and c=1

[tex]x=\frac{-(-3)\pm \sqrt{(-3)^{2}-4(1)(1)}}{2(1)}[/tex]

[tex]x=\frac{3\pm \sqrt{9-4}}{2}[/tex]

[tex]x=\frac{3\pm \sqrt{5}}{2}[/tex]

Therefore Option b) is correct

ie., [tex]x=\frac{3\pm \sqrt{5}}{2}[/tex]

Answer:

250 Cookies

Step-by-step explanation:

First calculate the cookies decorated per hour

100 ÷ 2 = 50 cookies per hour

Number of cookies in 5 hours = 50 × 5

= 250 Cookies

Answer:

250

Step-by-step explanation:

Divide 100 by 2 to get the hourly rate which would be 50. Then take the hourly rate and multiply it by the number of hours given, 5. 5 multiplied by 50 equals 250 cookies

Step-by-step explanation:

To compare fractions, they need to have the same denominator.  So you need to find the least common multiple (LCM) of 10, 3, and 4.

To find the LCM, first write the prime factorizations.

3 = 3

4 = 2²

10 = 2×5

The LCM is the product of each factor raised to its highest exponent.

LCM = 2²×3×5

LCM = 60

Now we rewrite each fraction with this new denominator.

9/10 = 54/60

2/3 = 40/60

2/4 = 30/60

Answer:

You need to convert the numbers into the same format.

Step-by-step explanation:

If you want to keep them in fraction form, you need to find the least common multiple. This means the smallest number that can be divided by all of the denominators. For this example, the number would be 60, because 60/10 is 6, 60/3 is 2, and 60/4 is 15. Now that we know this, you need to make every denominator 60. You do this by multiplying the numerator by whatever you needed to multiply the denominator by to get 60. For example, you need to multiply 10 by 6 to get sixty, so you would multiply 9 by 6 as well. You would repeat this pattern with all of the numbers, getting 54/60 (9/10), 40/60 (2/3), and 30/60 (2/4). This makes it very easy to tell which is the larger number.

If you don't want to do all of that, you can use decimal form. To find what each number would be in decimal form, divide the numerator by the denominator. For example, 9 divided by ten is .9, 2 divided by 3 is .66..., and 2/4 is .5.

Answer:

4:24 p.m.

Step-by-step explanation:

Figure out how often the buses leave at the same time. This is the same as the least common multiple (LCM) of how often they leave the stadium.

The LCM is found by multiplying the maximum number of each prime factor found in any of the numbers.

The prime factors of a number are found by dividing it by whole numbers until the factors are all prime. Prime numbers only have the factors 1 and itself.

6 = 2 X 3

8 = 2 X 2 X 2

The greatest times 2 repeats is three times.

The greatest times 3 repeats is one time.

2 X 2 X 2 X 3 = 24

The LCM is 24, and the buses have the same leaving times every 24 minutes.

Find 24 minutes after 4:00 p.m. Change the minutes only, which are the numbers right of the colon : .

The buses will next leave together at 4:24 p.m.

Answer:

C

Step-by-step explanation:

Note the diameter of a circle is twice the radius, thus

diameter = 2 × 19 = 38 cm → C

Answer:

s = P - t - r

Step-by-step explanation:

You are solving for the variable, s. To do so, isolate the variable. Note the equal sign, what you do to one side, you do to the other.

First, subtract the variable t from both sides of the equation:

P (- t) = s + t (-t) + r

P - t = s + r

Next, isolate the variable s by subtracting r from both sides:

P - t (-r) = s + r (-r)

P - t - r = s

s = P - t - r

s = P - t - r is your answer.

~

The median of given data is 42.5

And

The median after replacing 42 with 92 is 44.5

Step-by-step explanation:

A median is the middle value of the data that divided the data in two equal parts

Given data is:

46 43 39 48 52 40 42 98 20 38

First of all, the data has to arranged in ascending order

20, 38, 39, 40, 42, 43, 46, 48, 52, 98

As the number of values is even, n=10, the median will be the average of middle two numbers

20, 38, 39, 40, 42, 43, 46, 48, 52, 98

[tex]Median = \frac{42+43}{2}\\=\frac{85}{2}\\=42.5[/tex]

The median is 42.5

Now,

Replacing 42 with 92

20, 38, 39, 40, 92, 43, 46, 48, 52, 98

The data has to be re-arranged

So,

20, 38, 39, 40, 43, 46, 48, 52, 92, 98

As the number of values is same,

[tex]New\ median = \frac{43+46}{2}\\=\frac{89}{2}\\= 44.5[/tex]

Hence,

The median of given data is 42.5

And

The median after replacing 42 with 92 is 44.5

Keywords: Median, mode

Learn more about median at:

#LearnwithBrainly

Whitney's speed was 35 miles per hour.

Let's let x represent Whitney's speed in miles per hour (mi/h). Then, Whitney's mother's speed would be x + 5 mi/h. Since time is equal to distance divided by speed, and both Whitney and her mother arrived at the same time, we can set their times equal to each other:

Whitney's time = Distance / Speed = 7 miles / x mi/h

Mother's time = Distance / Speed = 8 miles / (x + 5) mi/h

7/x = 8/(x + 5)

7(x + 5) = 8x

7x + 35 = 8x

x = 35 mi/h

Therefore, Whitney's speed was 35 miles per hour.

Answer:

Step-by-step explanation:

In order to obtain the total amount that Monica was charged you should follow some steps.

How much was the net price? You can obtain this value either by clearing the x:

X * 5% = $1.50

X = $1.50 / 5%

Or by using simple rule of three:

If 5% is $1.50

Then 100% is X

So you obtain = $30

Now you just need to sum The net prices and the taxes

Net + tax = Total Charge

$30 + $1.5 = $31.5

Answer:

.08 cents rounded

Step-by-step explanation:

1.50x.05%=.075

Answer:

  x < -4 ∪ x > 4

Step-by-step explanation:

The absolute value function is shifted down 3 units. The solution space is values of x where y = |x|-3 is greater than 1. The solution is shown in red in the attachments, and the left and right (dashed) sides of the inequality are shown in blue.

__

I personally prefer to rewrite the inequality so the comparison is to zero. That is done in the second attachment, which rewrites it to ...

  |x| -4 > 0

by subtracting 1 from both sides. It is often easier to read the values of x-intercepts than it is to read the coordinate values where lines cross each other.

Answer:

135°

Step-by-step explanation:

An angle of 45° has a supplementary angle of 180° - 45° = 135°

Answer: 135

Step-by-step explanation:

Two angles are said to be supplementary if they sum up to be 180.

Let the supplementary angle to 45 be x ,

then :

x + 45 = 180

x = 180 -45

x = 135

Answer:

w=-1

Step-by-step explanation:

-15w-6w+7w=14

-21w+7w=14

-14w=14

w=14/-14

w=-1

Answer:

-15w -6w +7w=14

- 21w+7w =14

-14w =14

divide both sides by 14

-w = -1

w = 1

Step-by-step explanation:

Answer: [tex]\frac{1}{64}[/tex]

Step-by-step explanation:

We have the following equation:

[tex](2N)(5^{2})=\frac{25}{32}[/tex]

Isolating [tex]N[/tex]:

[tex](2N)(25)=\frac{25}{32}[/tex]

[tex]2N=\frac{25}{(32)(25)}[/tex]

[tex]N=\frac{1}{(32)(2)}[/tex]

Finally:

[tex]N=\frac{1}{64}=0.0156[/tex]

Answer:

16=53

Step-by-step explanation:

12.9 x 14 .9 + 6= 12

Answer:

[tex]1mg = 0.001g \\ 12 \times 325 = 3900 \\ \frac{3900}{1000} = 3.9g[/tex]

hope it helps pls mark braiest

Answer:

D(4,3)

Step-by-step explanation:

Plot pointa A, B, C on the coordinate plane.

Thus,

Therefore, the coordinates of point D are (4,3)

Answer:

D

Step-by-step explanation:

Find (f + g)(x) then evaluate (f + g)(9)

(f + g)(x) = f(x) + g(x)

= 4x - 1 + x² - 2 = x² + 4x - 3

Now substitute x = 9 into the expression

(f + g)(9) = 9² + 4(9) - 3 = 81 + 36 - 3 = 114 → D

Answer:

J.117

Step-by-step explanation:

f(x) =4x-1

if f(2)= 4(2)-1

f(2)= 8-1 = 7

f(2) = 7 equation 1

g(x) =x2-2

if g(4)= (4)2-2

g(4) = 8-2 = 6 equation 2

Now,

(f+g)(9) =?

subtitute equation 1 and 2

(7+6)(9)=?

(13)(9)=?

13×9= 117

Hence, the answer is 117

Answer:

y=sqrt(1/2x-25/2), -sqrt(1/2x-25/2).

Step-by-step explanation:

y=2x^2+25

x=2y^2+25

2y^2=x-25

y^2=1/2x-25/2

y=sqrt(1/2x-25/2), -sqrt(1/2x-25/2)

Answer:

1. Vertical Angles Theorem

2. Converse of Alternate Interior Angles Theorem

Step-by-step explanation:

First option:

Lines AC and BD intersect at point E. Angles AEB and CED are opposite angles formed when these two lines intersect and are called vertical angles. By vertical angles theorem, these angles are congruent. So,

Vertical Angles Theorem

Second option:

[tex]\triangle BEC\cong \triangle DEA[/tex] by SAS postulate, then

[tex]\angle CBE\cong \angle ADE[/tex] as corresponding sides of congruent triangles.

Converse of Alternate Interior Angles Theorem states that if two lines are cut by a transversal and the alternate interior angles are congruent, then the lines are parallel.

So, [tex]\overline{BC}\cong \overline{AD}[/tex] by

Converse of Alternate Interior Angles Theorem

Answer:

1.B            2.B

Step-by-step explanation:

Answer:

its the letter w

Step-by-step explanation:

i got an 100 on the test