4
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The moon is 250,000 miles away. How many inches is it away from earth?

Answer:

y = 34

Step-by-step explanation:

PEMDAS =

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

Remember to follow PEMDAS. First, multiply -6 with 4:

-6 * 4 = -24

-24 + y = 10

Isolate the variable, y. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS. Add 24 to both sides:

-24 (+24) + y = 10 (+24)

y = 10 + 24

y = 34

y = 34 is your answer.

~

Answer:

Step-by-step explanation:

[tex]4\left(-6\right)+y=10\\\\\mathrm{Remove\:parentheses}:\quad \left(-a\right)=-a\\-4\times\:6+y=10\\\\\mathrm{Multiply\:the\:numbers:}\:4\times\:6=24\\-24+y=10\\\\\mathrm{Add\:}24\mathrm{\:to\:both\:sides}\\-24+y+24=10+24\\\\Simplify \\y=34[/tex]

Answer:

-33-4x=-1(4x-7)

-33-4x=-4x+7.

-33-7=-4x+4x.

=-40.

Answer:

6x−7

Step-by-step explanation:

2x−7+4x

=2x+−7+4x

Combine Like Terms:

=2x+−7+4x

=(2x+4x)+(−7)

=6x+−7

Answer:6x-7

The like terms in the expression are 2x and 4x, so therefore you add them together and you get 6x.

Answer:

Step-by-step explanation:

Hope this helped

Answer:

Step-by-step explanation:

Lets illustrate one method by an example:

Find the square root of  12:

The 2 perfect squares around 12 are 3^2 and 4^2 so the square root of 12 is going to be between 3 and 4.

We might predict it to be 3.5

If we square 3.5 we get 12.25 so we are pretty close.

It is less than 3.5 so we might try 3.4 .

Working 3.4^2 out we get  11.56  so we know the square root is between 3.4 and 3.5  Since 12.25 is closer to 12 than 11.56, the square root is closer to 3.5 than 3.4 so we might try 3.46.

This is called the method of trial and improvement and requires you to do long multiplications.

Answer:

width are 33 dimensions

Answer:

4.35

Step-by-step explanation:

The fraction is 23/5.

To find the fraction of given problem.

A fraction is a part of a whole. In arithmetic, the number is expressed as a quotient, in which the numerator is divided by the denominator. In a simple fraction, both are integers. A complex fraction has a fraction in the numerator or denominator. In a proper fraction, the numerator is less than the denominator.

Given that:

Let the two fractions be a/b  and  c/d then:

a/b−c/d=ad−bc/bd

It must have like denominators to subtract fractions.

For = 9 1/10 - 4 3/4= 9 1/10 - 19/4

Taking LCM of 10 and 4 is 20.

=9 1/10 - 19/4

=[tex]\frac{91*2-19*2.5}{20} \\\\\frac{182-47.5}{20} \\\\\frac{92}{20}[/tex]

After cancel out numerator and denominators

=23/5

So, the fraction is 23/5.

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Answer:

19.4 units

Step-by-step explanation:

The hypotenuse length (c) of the given right triangle, ∆ABC, can be calculated using the Pythagorean Theorem, [tex] a^2 + b^2 = c^2 [/tex],

Where,

c is the longest/hypotenuse, a and b are the length of the other two legs.

Therefore,

[tex] c^2 = (16)^2 + (11)^2 [/tex]

[tex] c^2 = 256 + 121 = 377 [/tex]

[tex] c = \sqrt{377} = 19.4 [/tex] (nearest tenth)

Answer:

2400

Step-by-step explanation:

length times width times height

Answer:

350

Step-by-step explanation:

Area of rectangle = Length * width

Area = 25 * 8

Area = 200

Area of a triangle  = [tex]\frac{h_{b}*b}{2}[/tex]

Area = 150

Area = triangle area + rectangle

Area = 350

Answer: C. The data do not provide sufficient evidence to reject H0; thus, we cannot conclude that the mean point spread fo home games is higher than that of away games.

Step-by-step explanation: In Hypothesis Testing using p-value, after stating the null an alternative hypothesis, you have to compare p-value with level of significance, also known as α. If p-value is less than α, reject null hypothesis and accept alternative. If p-value is bigger, we would fail to reject null hypothesis and not accept the alternative.

In the above testing, P-value is 0.4351. Level of significance is, generally, 0.05. Comparing them, p-value is bigger than α. What it means is there is not enough evidence to support null hypothesis and, consequently, we can't conclude the difference in mean point spread of home games is higher than of the away games.

Answer:

1291962 golf balls

Step-by-step explanation:

golf ball: 4/3П(0.8)^3=2.14 in^3

storage unit: 120(240)(96)=2764800 in^3

2764800/2.14=1291962 golf balls

Number of golf balls that will fit inside of a storage will be 1291962 golf balls

diameter of golf ball = 1.6 in³

radius will be = 0.8 in³  

it is known that 1 ft = 12 in

What is volume ?

Volume is a three dimensional space occupy by the body of particular shape  such as here :

volume (V) of sphere golf ball with radius r : [tex]\frac{4}{3}\pi r^{3}[/tex]

[tex]\begin{aligned}V&= \frac{4}{3}\pi r^{3} \\&=\frac{4}{3}\pi (.8)^{3}\\&\approx 2.14 \text{\:in}^{3}\end{aligned}[/tex]

Volume of rectangle ([tex]V_{1}[/tex]) with length (l= 10x12 in.), breadth (b =20x12 in.) and height (h = 8x12 in.) : lbh

[tex]\begin{aligned}V_{1}&=lbh\\&=120\cdot240\cdot96\\&=2764800 \text{\:in}^3\end{aligned}[/tex]

therefore, number of golf balls will fit inside of a rectangular storage

will be : [tex]\frac{V_{1}}{V}[/tex]

[tex]\begin{aligned}\text{no. of golf ball}&= \frac{V_{1}}{V}\\&=\frac{2764800 \text{\:in}^3}{2.14}\\&\approx 1291962\end{aligned}[/tex]

number of golf balls will be 1291962.

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Answer:

It is irrational because there isn’t any repeating parts.

Answer:

reciprocal of 5 is 1 /5.......

Answer:

Step-by-step explanation:

[tex]-5\left(p+\frac{3}{5}\right)=4\\\\\mathrm{Divide\:both\:sides\:by\:}-5\\\frac{-5\left(p+\frac{3}{5}\right)}{-5}=\frac{4}{-5}\\\\Simplify\\p+\frac{3}{5}=-\frac{4}{5}\\\\\mathrm{Subtract\:}\frac{3}{5}\mathrm{\:from\:both\:sides}\\p+\frac{3}{5}-\frac{3}{5}=-\frac{4}{5}-\frac{3}{5}\\\\Simplify\\p=-\frac{7}{5}\\\\p=-\frac{7}{5}[/tex]

Answer:

140

Step-by-step explanation:

A=1 B=2 C=3 D=4

4 x 5= 20

20 x 12=240

240 - 100=140

Answer: 140

Answer:

140

Step-by-step explanation:

Answer:

1/4

Step-by-step explanation:

-1/2(-5/6 +1/3)

PEMDAS

parentheses first

(-5/6 +1/3)

Get a common denominator

-5/6 + 1/3 *2/2

-5/6 + 2/6 = -3/6 = -1/2

Substitute this back in

-1/2 ( -1/2)

Multiply

1/4

Answer:

So the breadth of the rectangle is y= 3.39 inches

And the length is = x= 4y= 4* 3.39= 13.56 inches

Step-by-step explanation:

Let the length of the rectangle be given by x and the breadth be defined by y.

Then according to the area of rectangle

Area= Length * breadth

But length is 4 times its width so x= 4y  

Therefore putting the values

Area= Length * breadth

46= x*y

46= 4y*y

46/4= y²

or

y ²= 11.5

Now taking the square root of both sides we get

y= √11.5=3.39116 inches

So the breadth of the rectangle is y= 3.39 inches

And the length is = x= 4y= 4* 3.39= 13.56 inches

Answer: The 1st option is correct! :D

Hopefully this will help others as well!

Step-by-step explanation:

Answer:

A. 19.1

the total measure of a triangle is 180°

118.6+42.3+x=180

160.9+x=180

x=180-160.9

x=19.1°

Answer:

m =-7/3

Step-by-step explanation:

[tex]\mathrm{Slope\:between\:two\:points}:\quad \mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}\\\\\left(x_1,\:y_1\right)=\left(0,\:21\right),\:\left(x_2,\:y_2\right)=\left(9,\:0\right)\\\\m=\frac{0-21}{9-0}\\\\m = \frac{-21}{9} \\\\Use\:3\:to\:divide\:through \\m=-\frac{7}{3}[/tex]

Answer:

The additive inverse of −5 is +5, so 18 − (−5) = 23. The additive inverse of −5 is −5, so 18 − (−5) = 23. The additive inverse of −5 is −5, so 18 − (−5) = 13.

Answer:

Random sample

Step-by-step explanation:

In statistics, a sample randomly taken from an investigated population, usually known as a random sample. To avoid having bais from our response and for it to have the best chance of it being indicative of the entire population, our sample must be random. This random sample chosen must contain subjects related to the data in the population we what to obtain a result from.

Answer:

S = 2

Step-by-step explanation:

1st step: Simplify both sides of the equation

4/5 s - 3/4 s = 1/10

4/5 s + -3/4 s = 1/10

(4/5 s + -3/4 s) = 1/10 (combine like terms)

1/20 s = 1/10

1/20 s = 1/10

step 2: multiply both sides by 20

20 * (1/20 s) = 20 * (1/10)

s = 2

Hope this helped!

Answer:

Step-by-step explanation:

volume=1/3×area of base×height=1/3×6×6×√7=12√7 cubic units

Answer:

The slope of the line given by the equation is two.

Step-by-step explanation:

We are given the equation:

[tex]y+5=2(x+1)[/tex]

Notice that the equation is written in point-slope form. That is:

[tex]y-y_1=m(x-x_1)[/tex]

Where m is the slope.

From our given equation, we can see that m = 2.

Therefore, the slope of the given line is 2.

Answer:

2

Step-by-step explanation:

Put the line into slope intercept form:

y + 5 = 2(x+1)

Distribute the 2

y + 5 = 2x + 2

Isolate y to put into y = mx + b form

y = 2x - 3

So, the slope is 2 because it is the coefficient to x.

Answer:

the answer is most likely A

Step-by-step explanation:

Answer:

21

Step-by-step explanation:

8x+y, when x=2 and y=5,

then 8*2+5. Because the 2 is right next to the 8, it isn't '82', but '8*2'

According to  PEMDAS, multiplication is done first, so

8*2= 16,

16+5, which is 16+5= 21