write the number of laps completed per minute

If the oak tree is 48 feet tall, and is 8 times taller than Mike, you must divide 48 by 8 to find that Mike is 6 feet tall. To check your work, multiply 6 by 8 and see that you get 48 feet. Hope I helped!!

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Mike is 6 feet tall. This is determined by dividing the height of the oak tree, which is 48 feet, by 8, because Mike's height is said to be 1/8 of the oak tree's.

The subject of this question is a basic math problem involving division. The question states that the oak tree is 8 times as tall as Mike. So, to find Mike's height, we need to divide the oak tree's height by 8.

Applying this to the details given:
Oak Tree height = 48 feet
Mike's height = Oak Tree Height/8
Mike's height = 48/8
Mike's height = 6 feet
So, Mike is 6 feet tall.

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The dimension of dresser is :

Length is 6.0 feet

width is 3.0 feet

The dimension of bed is :

Length is [tex]5\sqrt{2}[/tex] = 7.1 feet

Width is [tex]4\sqrt{2}[/tex]  = 5.7 feet

The dimension of table:

Length is [tex]2\sqrt{2}[/tex] = 2.8 feet

Width is [tex]2\sqrt{2}[/tex] = 2.8 feet

Answer:

A). Dimensions of the bed = 7.1 ft × 5.7 ft

B). Dimensions of table = 2.8 ft × 2.8 ft

C). Dimensions of the dresser = 6ft × 3ft

Step-by-step explanation:

Dimensions of the room are 14 ft by 10 ft.

We have to find the dimensions of each furniture.

First we take the bed.

Length of the bed = [tex]\sqrt{(5)^{2}+(5)^{2}}[/tex]

= [tex]\sqrt{25+25}[/tex]

= [tex]\sqrt{50}[/tex]

= 7.07 ft ≈ 7.1 ft

Width of the bed = [tex]\sqrt{4^{2}+4^{2}}[/tex]

= [tex]\sqrt{16+16}[/tex]

= [tex]\sqrt{32}[/tex]

= 5.7 ft

We take another furniture table which is in the square shape,

Side of the table = [tex]\sqrt{2^{2}+2^{2}}[/tex]

= [tex]\sqrt{8}[/tex]

= 2.8 ft

Therefore, each side of the table is 2.8 ft

Length of the dresser = 6 ft

Width of the dresser = 3 ft

It would be 7x10^-2

That number would be rounded to 0.07

Hey there!!

What is slope-intercept form :

... y = mx + b

( a ) Given :

... ( 2 , -2 ) and slope=1.4

... y = mx + b

... -2 = 2×1.4 + b

... -2 = 2.8 + b

... -4.8 = b

The slope-intercept form :

... y = 1.4x - 4.8

( b ) Given :

... ( -1 , 4 ) and slope = -3.

y = mx + b

... 4 = -3×-1 + b

... 4 = 3 + b

... 1 = b

The slope-intercept form :

... y = -3x + 1

Note :

( m = slope and b = y-intercept )

Hope my answer helps!!

Answer:

... y = mx + b ( a ) Given : ... ( 2 , -2 ) and slope=1.4 ... y = mx + b ... -2 = 2×1.4 + b ... -2 = 2.8 + b ... -4.8 = b The slope-intercept form : ... y = 1.4x - 4.8( b ) Given : ... ( -1 , 4 ) and slope = -3. y = mx + b ... 4 = -3×-1 + b ... 4 = 3 + b ... 1 = b The slope-intercept form : ... y = -3x + 1 Note :  ( m = slope and b = y-intercept ) Hope my answer helps more math stuff

Step-by-step explanation:

Step 1. Simplify 2 * 1 to 2

|4 - 2|-17|-13|

Step 2. Simplify 4 - 2 to 2

|2|-17|8-13|

Step 3. Simplify 8 - 13 to -5

2 - 17|-5|

Step 4. Simplify |-5| to 5

2 - 17 * 5

Step 5. Simplify 17 * 5 to 85

2 - 85

Step 6. Simplify

-83

Answer:

your answer is -83

Step-by-step explanation:

As all angles of the triangle have to give 180 ° and, as the triangle is equilateral (all the angles are equal), the three angles have the same amplitude. 180 ÷ 3 = 60

So, the answer is D.

The measure of angle a (x) is 60 degrees when all sides of triangle are equal The correct answer is option D: 60°.

Since all three sides of the triangle ABC have equal lengths (15 units each), we can determine that this is an equilateral triangle. In an equilateral triangle, all three angles are congruent, meaning they have the same measure.

Let's represent the measure of angle a as "x."

In an equilateral triangle, the sum of all three angles is 180 degrees. So, we can write the equation:

x + x + x = 180

Combine like terms:

3x = 180

Now, divide by 3 to solve for x:

x = 180 / 3

x = 60

Therefore, the measure of angle a (x) is 60 degrees.

The correct answer is option D: 60°.

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Here is the inequality:

[tex]-2x+6<20[/tex]

You're looking for x. To find it, you have to remove everything on the same side of the variable. The only thing with it is positive 6. To remove it, you have to do the opposite of it, which is -6, which is also the same as subtracting 6. Subtract 6 from both sides:

[tex]-2x+6-6<20-6 \\-2x<14[/tex]

Now you have -2x. When you have a negative variable, the inequality sign changes. Change the sign:

[tex]-2x<14 \rightarrow -2x>14[/tex]

You're looking for x alone. To leave x alone, you have divide both sides by -2 since the variable is -2x. Divide both sides by -2:

[tex]-2x \div -2 > 14 \div -2 \\\\x>-7[/tex]

When dividing a negative number number by a positive or vice versa, the result is ALWAYS negative. That's why in your answer, it's -7.

Your answer is x > -7

GRAPH:

To solve sin (3\u03c0/4) cos (\u03c0/12), calculate the value of sin (3\u03c0/4), use the half-angle formula to find cos (\u03c0/12), and multiply the results.

To solve the expression sin (3\u03c0/4) cos (\u03c0/12), we need to find the sine and cosine values of the individual angles and then multiply them together. The sine of 3\u03c0/4 is \u221a2/2 and the cosine of \u03c0/12, which is not a standard angle on the unit circle, can be calculated using the half-angle formula since \u03c0/12 is half of \u03c0/6. Therefore, once we have both values, we simply multiply them to get the result of the expression.

Answer:

k= 8/5

Step-by-step explanation:

here x= 5 and y= 8

we have y=kx

k= y/x

k= 8/5 this is constant of variation

Answer:

[tex]k=\frac{8}{5}[/tex]

Step-by-step explanation:

find the constant of variation k of the line y=kx through (5,8)

Use equation of line [tex]y=kx[/tex]

k is the constant of variation

LEts find out k using the point (5,8)

x=5 and y=8, plug in the values

[tex]8=k(5)[/tex]

To get k alone, divide by 5 on both sides

[tex]k=\frac{8}{5}[/tex]

Answer:

A) 0 to 100 mph

Step-by-step explanation:

the range would be the mpg, and domain would be speed.

That would be the best presentation.

ANSWER

The vertical asymptotes are

[tex]\Rightarrow x=2\:or\:x=-1[/tex]

EXPLANATION

We have

[tex]f(x)=\frac{x^2+4}{4x^2-4x-8}[/tex]

For vertical asymptotes we set the denominator to zero and solve the quadratic equation;

[tex]4x^2-4x-8=0[/tex]

[tex]\Rightarrow x^2-x-2=0[/tex]

We split the middle term to obtain,

[tex]x^2+x-2x-2=0[/tex]

[tex]\Rightarrow x(x+1)-2(x+1)=0[/tex]

[tex]\Rightarrow (x-2)(x+1)=0[/tex]

[tex]\Rightarrow x=2\:or\:x=-1[/tex]

Therefore the vertical asymptotes are

[tex]x=2\:or\:x=-1[/tex]

The vertical asymptotes are x = 2 and x = -1

[tex]f(x)=\frac{x^2+4}{4x^2-4x-8}[/tex]

Set the denominator to 0

[tex]4x^2-4x-8 = 0[/tex]

Divide through by 4

[tex]x^2-x-2 = 0[/tex]

Expand

[tex]x^2+x-2x-2 = 0[/tex]

Factorize

[tex]x(x+1)-2(x+1) = 0[/tex]

Factor out x + 1

[tex](x-2)(x+1) = 0[/tex]

Solve for x

x = 2 or x = -1

Hence, the vertical asymptotes are x = 2 and x = -1

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it shifts one to the right and you take out a 0

the change in the digits is 10x (10 times) less

Given the equation [tex]6x-3y=5.[/tex]

Check all options:

A. [tex]\left(9,\dfrac{16}{3}\right)[/tex], this means that [tex]x=9, y=\dfrac{16}{3}.[/tex] Substitute these numbers into the left side of the equation equation:

[tex]6\cdot 9-3\cdot \dfrac{16}{3}=54-16=38\neq 5.[/tex]

This option is false.

B.  [tex]\left(6,-3\right)[/tex], this means that [tex]x=6, y=-3.[/tex] Substitute these numbers into the left side of the equation equation:

[tex]6\cdot 6-3\cdot (-3)=36+9=45\neq 5.[/tex]

This option is false.

C.  [tex]\left(1,-\dfrac{11}{3}\right)[/tex], this means that [tex]x=1, y=-\dfrac{11}{3}.[/tex] Substitute these numbers into the left side of the equation equation:

[tex]6\cdot 1-3\cdot \left(-\dfrac{11}{3}\right)=6+11=17\neq 5.[/tex]

This option is false.

D.  [tex]\left(-2,-\dfrac{17}{3}\right)[/tex],  this means that [tex]x=-2, y=-\dfrac{17}{3}.[/tex] Substitute these numbers into the left side of the equation equation:

[tex]6\cdot (-2)-3\cdot \left(-\dfrac{17}{3}\right)=-12+17=5.[/tex]

This option is true.

Answer: correct choice is D.

Answer:

Option d

Step-by-step explanation:

Given is a linear equation in x and y as

[tex]6x-3y =5[/tex]

To check whether a point satisfies the equation, let us substitute and check whether the equation holds good

a) [tex]6(9)-3(16/3) = 38 \neq 5[/tex]

b) [tex]6(6)-3(-3) \neq 5[/tex]

c) [tex]6(1)-3(-11/3) = 17\neq 5[/tex]

d) [tex]6(-2)-3(-17/3) = -12+17 =5[/tex]

Since last point satisfies the equation, option d is the answer.

Im not sure but the answer might be 52. I just found the area of the whole box, and then found the area of the red box only. I subtracted the area of the red box from the whole box and got 52.

66 square units, because you count the number of yellow squares

The quotient from the given division is 64.

Given that, 24 divided by 3/8.

The division is one of the basic arithmetic operations in math in which a larger number is broken down into smaller groups having the same number of items.

Here, 24 ÷ 3/8

= 24 × 8/3

= 8 × 8

= 64

Therefore, the quotient from the given division is 64.

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There are 7/4 gallons leaking per hour. This is the same as 1.75 gallons per hour. Hope this helps! :)

Answer:

[tex]1\frac{3}{4}[/tex] gallons of water will be leaked in one hour.

Step-by-step explanation:

An above ground pool is leaking [tex]\frac{7}{8}[/tex] gallon of water in half an hour.

Therefore, amount of water leaked in one hour will be = 2 × (amount of water leaked in half an hour)

= [tex]2\times \frac{7}{8}[/tex]

= [tex]\frac{7}{4}[/tex]

= [tex]1\frac{3}{4}[/tex] gallons

Therefore, [tex]1\frac{3}{4}[/tex] gallons of water will be leaked in one hour.

two - point six

is the answer

The answer you are looking for is "Two and six tenths".

The reason this is, is because 2 is left of the decimal, which makes it "two". Since 6 is to right of the decimal, you have to look at how far it is from the decimal. It being directly after the decimal, it is in the tenths place, making it six tenths. Thus meaning the answer is two and six tenths.

I hope this helps!

I got 37,286 the steps were...

2 4

7,381

× 6

---------

37,286.

Am I suppose to multiply?

Al bought 24 stickers, gave away 11, then bought 8 more. The numerical expression representing this situation is '24 - 11 + 8'.

The word problem describes Al's activity concerning stickers. To turn the words into a numerical expression, each operation performed by him needs to be included. Initially, Al bought 24 stickers. Then, he gave away 11 stickers. Lastly, he bought 8 more stickers. By using these actions as a guide, the equivalent numerical expression would be '24 - 11 + 8'.

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[tex]Domain:\ a\neq0\ \wedge\ b\neq0[/tex]

[tex]\dfrac{x}{a}=\dfrac{x}{b}\qquad|\text{cross multiply}\\\\bx=ax\qquad|\text{subtract ax from both sides}\\\\bx-ax=0\\\\x(b-a)=0\qquad|\text{divide both sides by }\ b-a\neq0\\\\x=0[/tex]

[tex]\dfrac{x}{a}=\dfrac{x}{b}\\\\if\ a\neq b\ then\ x=0\\\\if\ a=b\ then\ x\in\mathbb{R}[/tex]

the answer is 44.75 I would explain but ehhhhhhhhhh

4/20 is equivalent to 20%.

We have the following fraction -

4/20

We can convert it into percent as -

[x]% = (4/20) x 100

[x]% = 20%

Therefore, 4/20 is equivalent to 20%.

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Answer:

20,053

Step-by-step explanation:

20,335 - 282 = 20,053

Answer:

20617 feet is your answer

Step-by-step explanation:

You are subtracting the two numbers. Note however, that 282 feet below the sea level = -282

Subtract.

20335 - (-282) = answer

Note that two negatives = one positive

20335 + 282 = answer

20617 = answer

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This means it has infinite solutions congrats. When solving algebraic equations you can find one solution, no solutions. When you have infinite solutions that means that equations has multiple things that can equal it.

If the equation 0=0, then its solution is that x can take any real value.

The given equation is 0=0.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

We obtain 0=0, this means the equation is in fact an identity which is true for all values of x. As an equation, its solution is that x can take any real value (assuming we are supposed to be finding real solutions).

Therefore, if the equation 0=0, then its solution is that x can take any real value.

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Answer:

72 passenger planes

Step-by-step explanation:

ratio passenger to cargo = 8 to 5 = 8/5

Let p = number of passenger planes.

The ratio of passenger to cargo planes that actually landed is p/45.

The ratio in general is 8/5, so 8/5 must equal p/45.

p/45 = 8/5

5p = 45 * 8

p = 9 * 8

p = 72

Answer: I'm guessing 72

Step-by-step explanation:

He is paid 180 dollars for that day

the area of the square would be 49

49 inches (7 multiplied by 7)

The answer is

3 + i √21 all divided by 3

3 + i √21/3

Hope I helped! :)

Mark brainliest