Convert the following decimal to a fraction.
2.48

Notice that 8 can be written in exponential form of [tex]2^{3}[/tex]

When you see [tex](2^{3} )^{\frac{8}{3} }[/tex] , recognize that  [tex](a^{m} )^{n} =a^{mn}[/tex]

3 × [tex]\frac{8}3}[/tex] = 8

Hence, the answer is [tex]2^{8}[/tex] . Which means 256.

Here is some indices rules/formulas you might find helpful as well:

[tex]a^{m} * a^{n} =a^{m+n} \\\\ a^{m} /a^{n} =a^{m-n} \\\\ (a^{m} )^{n} =a^{mn} \\\\ a^{-m} =\frac{1}{a^{m} }[/tex]

Answer:

I] 135+45=180

therefore supplementary angles

ii] 55+35=90

complementary angles

iii]55+45=100

neither

iv] 77+13=90

complementary angles

Answr :

I hope my answer is correct

m<Jmk = m<HML. m<HJL=m<KHJ

m<JKH=m<JHL m<LHK=m<JLH

m<HLK = m<HJK. m<JLK= m< HJL

Answer:

1240.59

Step-by-step explanation:

V=pi r^2 h/3

V=3.14*8^2*(18.52/3)

V=3.14*64*6.17333333...

V=1240.59

Answer:

You multiply the number outside the parentheses by each one I side the parentheses. Following the distributive property, you have to "distribute" the multiplication, so each number/variable gets multiplied by the first number.

Hope this helps!

Answer:

Step-by-step explanation:

This one is simple substitution... at least, substitution is the easiest method. The first equation is 3x – 30 = y  and the second is 7y – 6 = 3x

As I look, I see 3 ways to use substitution to solve this:

We're going to only use 1 method for the sake of time. Try the other two on your own. Assuming you don't make any mistakes, they will work.

Method 1:

3x – 30 = y

7y – 6 = 3x  — initial system of equations

7y – 6 – 30 = y  — substitute 7y – 6 for 3x

7y – 6 – 30 = y  — marking like terms, bold for constants, underlined for variables

7y – 36 = y  — combining the constants and simplifying

Here, you could diverge into multiple paths: add 36 to both sides, subtract y from both sides, divide by 6 OR subtract 7y from both sides and divide by –6 . For the sake of time, I'm subtracting 7y, though I don't like dealing with negatives.

7y – 7y – 36 = y – 7y  — subtract 7y from both sides

–36 = –6y  — simplify

–36 ÷ –6 = –6y ÷ –6  — divide by –6 on both sides

y = 6  — simplify

Again, we can diverge here: substitute y into 3x – 30 = y or substitute y into 7y – 6 = 3x

I'm going to choose 3x – 30 = y but it will work either way, should you take the time (if you have it) to chase down every path this problem can take.

3x – 30 = y  — initial equation

3x – 30 = 6  — substitute 6 for y

3x – 30 + 30 = 6 + 30  — add 30 to both sides to isolate 3x

3x = 36  — simplify the expression

3x ÷ 3 = 36 ÷ 3  — divide both sides by 3 to isolate x

x = 12  — simplify

So, we have x = 12 and y = 6 . We know they work for 3x – 30 = y  but not if they work for 7y – 6 = 3x . Let's substitute those in to see if (12, 6) really is the solution point.

7y – 6 = 3x  — original equation

7(6) – 6 ≟ 3(12)  — substitute 6 for y and 12 for x

42 – 6 ≟ 36  — simplify by multiplying

36 = 36 ✔  — simplify by combining like terms on left side

Success! It works! We have found our solution!

I hope this helps increase your understanding of the concept. Have a great day!

Answer:

A.

Step-by-step explanation:

The Y-intercept is 3 so C and D are automatically are wrong because their Y intercept is 2.

The slope is 2x because you count the points that the line goes through.

For example: From (-1,1) count up and right until you get another point,

count using [tex]\frac{Rise}{Run}[/tex] the rise of this equation is 2 and the run is 1 so [tex]\frac{2}{1} = 2\\[/tex]

Rise = Vertical

Run = Horizontal

Because the slope is increasing the slope is positive meaning B is incorrect because it's slope is negative.

Hope this was clear and helped you out!

The equation that matches the graph is y = -2x + 3

A linear equation is in the form:

y = mx + b;

where y, x are variables, m is the slope of the line and b is the y intercept

The line passes through the point (0, 3) and (-1.5, 0). Hence:

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-3=\frac{0-3}{1.5-0} (x-0)\\\\y=-2x+3[/tex]

The equation that matches the graph is y = -2x + 3

Find out more on linear equation at: https://brainly.com/question/14323743

Answer:

I think you have this correct

Step-by-step explanation:

you are supposed to be finding the value of x, and you have.

Answer:

147 so yes u do have the right answer :)

Step-by-step explanation:

either way u look at it it would still be trying to find 180 using the 33 that is given

hope this helps and its correct haha

Answer:

ooffffffffffff have a good day/night lol

Answer:

What?? lol

Step-by-step explanation:

Answer:

is -90

Step-by-step explanation:

−6+(21)(−4)

=−6+−84

=−90

Answer:

34 degrees

Step-by-step explanation:

angles on a straight line add up to 180 degrees so over here the middle angle as we can see is 90 degrees so we add that to the 56 degrees. From adding them we get 146. 180 -146 is 34 degrees and that is our answer. :)

Answer:

Its C the reason why because If it was D it will just be a waste of miles And C is lower than 11 We want it low not high

Answer:

9

Step-by-step explanation:

49.99 + 9.75x = 137.74

solve for x.

x = 9

Answer:

90 degree

Step-by-step explanation:

I just know (I don't I just need points). : )

Answer:

- 4\3

Step-by-step explanation:

I think its -1 because there's not crooked line where you have to figure out the whole thing

Answer:

The times that 48 trains left a station on Friday were recorded

Answer:

20

Step-by-step explanation:

Answer:

Step-by-step explanation:

(3*5) 15+(4*5) 20

20+15= 35-15= 20

Your answer is 20 I believe.

Answer:

$4140 + $294d

Step-by-step explanation:

Hello,

Let's write down what we know first,

d days

14 food baths -- $175 and $8 per day

26 game booths -- $65 and $7 per day

What we want to find the amount of money paid for both food baths and game booths so after finding them individually, we need to add them up.

We already know the company rents out 14 fb and 26 gb and we know that each fb is 175 dollars and each gb is 65 dollars, so we should find out the cost of buying them. We can also write out the total cost of

14 * $175 = $2450

26 * $65 =  $1690

Now lets find the per day cost,

14 * $8 * d = $112d

26 * $7 * d = $182d

With both equations added together we get,

$2450 + $112d

$1690 + $182d

Add those together and we get:

$4140 + $294d

Answer:

x = 25

Step-by-step explanation:

For ∠ D and ∠ L to be congruent, then

3x - 8 = 2x + 17 ( subtract 2x from both sides )

x - 8 = 17 ( add 8 to both sides )

x = 25

Answer:

its 2 1/2 its width

Step-by-step explanation:

Answer:

with what???

Step-by-step explanation:

Answer:

1. 4x + 10

2. 3x + 22