Write the following exponents in expanded form a) 5² b) 6⁸ c) 9⁵

Answer:

Rational

Step-by-step explanation:

Rational numbers are numbers that can be written as a ratio of integers.

-25 can be written as -25 / 1.  So it is rational.

Answer:

[tex]\boxed{10}[/tex]

Step-by-step explanation:

-32 - (-42)

→ Remember that 2 minuses cancel to make a plus

-32 + 42 = 10

Answer:

[tex] - 32 - ( - 45) \\ = - 32 + 45 \\ = 10[/tex]

Note :

Minus Minus -(-) = plus (+)

Answer:

(-20)+(-2)  

Step-by-step explanation:

(-14) - 8 = -22

(-20) + (-2) = -22

Answer:

a = -3, b = 6

Step-by-step explanation:

ax + 6 = -3x + b

If a = -3 and b = 6, then the equation would be -3x + 6 = -3x + 6, which would have infinitely many solutions.

If we isolate x, we have (a + 3) x = b - 6. We want the equation to be 0 = 0 for infinitely many solutions, so a has to be -3 and b has to be 6.

Answer:

No solutions

Step-by-step explanation:

Step 1: Write out equation

10 + 5c = 5c

Step 2: Subtract 5c on both sides

10 + 5c - 5c = 5c - 5c

10 ≠ 0

Since 10 doesn't equal 0, we do not have a solution for this equation.

Answer:

no solutions

Step-by-step explanation:

Let's solve your equation step-by-step.

10+5c=5c

Step 1: Simplify both sides of the equation.

5c+10=5c

Step 2: Subtract 5c from both sides.

5c+10−5c=5c−5c

10=0

Step 3: Subtract 10 from both sides.

10−10=0−10

0=−10

Answer:

There are no solutions.

HOPE THIS HELPS!!!!!! :)

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Answer:

-19-3x= -1(x+4).

-19-3x= -5(x+4).

-19-3x= -5x-1.

-19+1= -5x+3x.

-18= -2x.

x=9.

Answer:

a - right trapezoid

b - isosceles triangle

c - equilateral triangle

d - kite

Answer:

A) [tex]\huge\boxed{Trapezoid }[/tex]

Because of a pair of parallel lines.

B) [tex]\huge\boxed{Isosceles \ Triangle}[/tex]

Because of two equal sides.

C) [tex]\huge\boxed{Equilateral \ Triangle}[/tex]

Because of three equal sides.

D) [tex]\huge\boxed{Kite}[/tex]

Having 2 pairs of equal adjacent sides.

Answer: The value of x=1.

Measure of CD =1 unit.

Step-by-step explanation:

Given: Segment EC bisects segment AD at C.

That means , EC divided AD into two equal parts AC and CD,

i.e. [tex]AC=\dfrac{AD}{2}[/tex]  

Also it is given that [tex]AD = 6x - 4[/tex] and [tex]AC = 4x - 3.[/tex]

then, we have

[tex]4x-3=\dfrac{6x-4}{2}\\\\\Rightarrow\ 4x-3= 3x-2\\\\\Rightarrow\ 4x-3x=-2+3\\\\\Rightarrow\ x= 1[/tex]

So, the value of x=1.

Now,  CD = AC = 4(1)-3 =4-3 =1 unit.

Hence, Measure of CD =1 unit.

Answer:it’s ask me in Jakes class we’re numbered in Order from 1 to 24 jake was asked to choose classmates numbered with 5 to be in his group witch numbered could be the number of classmates in his group

Step-by-step explanation:

Answer:

32

Step-by-step explanation:

We are given the expression:

[tex]\frac{-8(13-37)}{6}[/tex]

and asked to evaluate the expression.

Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction.

Solve inside the parentheses first. Subtract 37 from 13.

⇒ 13-37= -24

[tex]\frac{-8(-24 )}{6}[/tex]

Next, multiply -8 and -24.

⇒ -8*-24= 192

[tex]\frac{192}{6}[/tex]

Finally. divide 192 by 6.

⇒ 192/6 = 32

[tex]32[/tex]

When evaluated, the expression -8(13-37)/6 is equal to 32.

Answer:

She would have 130 dollars

Step-by-step explanation:

There are 52 weeks in a year. So multiply 2.50 by 52. She would have 130 dollars.

Ashley can expect to save $130 for the trip in exactly one year.

Ashley decided to stop eating chocolate for one whole year to save some spending money for her senior class trip to Mexico.

The amount Ashley typically spends a week on chocolate =  $2.50.

We have to find how much Ashley can save in one year if we can save $2.50 per week.

There are 365 days in a year and we have 7 days in a week.

If we divide 365 by 7 we get,

365 / 7 = 52.14.

which means 52 weeks.

So in one year, we have 52 weeks.

We can write this statement "Ashley typically spends $2.50 a week on chocolate" as :

1 week = $2.50

Multiply by 52 on both sides.

we get,

52 x 1 week = 52 x $2.50

52 weeks = $130

Thus, we can say that in one year Ashley can save around $130 if she saves $2.50 in a week.

Learn more about savings word problem here:

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Answer:

1/4

Step-by-step explanation:

You can simplify 5/20 by dividing the numerator and denominator by 5 and getting 1/4

Step-by-step explanation:

The answer is going to be 1/4

Answer:

-i

Step-by-step explanation:

rewrite

one to any power is one

multiply

rewrite

Answer:

-i

Step-by-step explanation:

i^30 × i

(i^2)^15 × i

(-1)^15 × i

-1 × i

-i

Answer: see attachments

Step-by-step explanation:

Step-by-step explanation:

[tex]\blue\star[/tex]sn = 549

[tex]\blue\star[/tex] d = 3

[tex]\blue\star[/tex]56th term of Ap

[tex]\blue\star[/tex]the sum of 32 tem

Answer:

0.17

Step-by-step explanation:

0.017 times 10 equals to 0.17

Step-by-step explanation:

let us consider the elevation of the sun is x

then

x=6×6

x=36

Answer:

Step-by-step explanation:

4x² - 2y

when

x = - 2 and y = - 1

Substitute the values of x and y into the expression and simplify

That's

[tex]4( - 2)^{2} - 2( - 1) \\ = 4(4) + 2 \\ = 16 + 2[/tex]

We have the final answer as

Hope this helps you

Answer:The answer will be -18 because you are subtracting 2 two times!!

Step-by-step explanation:Simply step by step by step answer Hope this helps!️.

Answer:

no solution

Step-by-step explanation:

Given

4 + x = 3(x + 2) - 2x ← distribute and simplify right side

4 + x = 3x + 6 - 2x

4 + x = x + 6 ( subtract 4 from both sides )

x = x + 2 ( subtract x from both sides )

0 = 2 ← not possible

This indicates the equation has no solution

Answer: 2

Step-by-step explanation: 16/8=2

Answer:

C

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

r = [tex]\frac{5}{8}[/tex] t - 9 ← is in slope- intercept form

with y- intercept c = - 9

Function 2 has the ordered pair (0, - 9 )

This indicates that when t = 0 , r = - 9

This is the y- intercept at - 9

Thus both functions have the same y- intercept

Answer:

23.8

Step-by-step explanation:

To find the value of QR, look over the information given. R is a point between the points Q and S. Since the value of SR is 44.6, and the value of SQ is 68.4, subtract 44.6 from 68.4 to get 23.8, which will be the answer.

Answer:

Step-by-step explanation:

1. Given that the total number of points is  50

2. Each question is worth 5 points

We can now calculate the number of questions by dividing the total points by the worth of each question

the number of question is  = 50/5= 10

hence there are 10 questions available

if he misses 2  questions, which will amount to 10 points his score will be

50-10 = 40 points

Hence if he got x questions wrong his score will be

50-x points

Answer: (8.5, 8)

Step-by-step explanation:

Answer:

169.2cm

Step-by-step explanation:

56.4cm + 56.4=  112.8+ 56.4=   169.2cm

The combined height of the 3 stacked boxes will be 169.2 cm so option (D) will be correct.

Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,

Summation = addition of two or more numbers or variable

For example = 2 + 8 + 9

Subtraction = Minus of any two or more numbers with each other called subtraction.

For example = 4 - 8

Division = divide any two numbers or variable called division.

For example 4/8

Multiplication = to multiply any two or more numbers or variables called multiplication.

For example 5 × 7.

Given that,

Height of one box = 56.4 cm

So,

Height of two boxes = Height of one box + Height of one box

It means

Height of three boxes = Height of one box + Height of one box + Height of one box

So,

Height of three boxes = 56.4 +  56.4 +  56.4

Height of three boxes = 169.2 cm

Hence "The combined height of the 3 stacked boxes will be 169.2 cm".

To learn more about the arithmetic operators,

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Answer:

[tex]\mathbf{r = \dfrac{400p }{ 500 -p}}[/tex]

Step-by-step explanation:

Given that:

Last Sunday a certain store sold copies of Newspaper A for $1.00 each

A = 1

and copies of Newspaper B for $1.25 each,

B = 1.25

and the store sold no other newspapers that day. If r percent of the store's revenue from newspaper sales was from Newspaper A and if p percent of the newspapers that the store sold were copies of Newspaper B.

Then ;

[tex]r = \dfrac{A}{A+1.25B} \times 100[/tex]  --- (1)

[tex]p = \dfrac{A}{A+B} \times 100[/tex]        --- (2)

From (2)

[tex]A+B = \dfrac{A}{p} \times 100[/tex]

[tex]B = \dfrac{A}{p} \times 100-A[/tex]

[tex]B = \dfrac{A( 100-p)}{p}[/tex]

Substituting the value of B into equation (1), we have:

[tex]r = \dfrac{A}{A+1.25 \times { \dfrac{A( 100-p)}{p}}} \times 100[/tex]

[tex]r = \dfrac{A}{A+1.25 \times { A( 100-p)}} \times 100p[/tex]

[tex]r = \dfrac{100p}{p+125 -1.25 p}[/tex]

[tex]r = \dfrac{100p}{125 -0.25 p}[/tex]

multiplying both numerator and denominator by 4; we have

[tex]r = \dfrac{4(100p) }{ 4(125 -0.25) p}[/tex]

[tex]\mathbf{r = \dfrac{400p }{ 500 -p}}[/tex]

Answer:

15a

Step-by-step explanation:3times3times3times3times3

AMSWER

F=m×a

this implies that

a=F/m

a=49/5

a=9.8 m/s^2

(i)F=(m×9.8)N

(ii)F=14×9.8=137.2

(iii)m=F/a

m=215.6/9.8

m=22kg

Answer:

[tex]g(x)=f(2)[/tex]  for x = 4

Step-by-step explanation:

If [tex]f(x)=3x-1[/tex]

and   [tex]g(x)= 2x-3[/tex]

Then for which value of "x" does [tex]g(x)=f(2)[/tex] ?

So start by evaluating what [tex]f(2)[/tex]  is:

[tex]f(x)=3x-1\,\,\,\,therefore\,\,\,\, f92)=3\,(2)-1=6-1=5[/tex]

Then,we have to find for which value of x [tex]g(x)=5[/tex]

so we write g(x) explicitly:

[tex]2x-3=5\\2x=5+3\\2 x = 8\\x = 8/2\\x=4[/tex]