a number raised to the fourth power

Answer:

Step-by-step explanation:

yo

The number of cows is 54 and the number of chickens is 27 if the cows and the chickens, there are 162 eyes and 270 feet.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have:

A farmer was asked how many cows and chickens she has. The farmer replied, "between the cows and the chickens, there are 162 eyes and 270 feet.

Let x be the number of cows and y be the number of chickens.

2x + 2y = 162 (there are 162 eyes)

4x + 2y = 270 (there are 270 feet)

From the first equation take the value of x and plug it into the equation second.

2y = 162 - 2x

y = 81 - x

4x + 2(81 - x) = 270

4x + 162 - 2x = 270

2x = 108

x = 54

y = 27

Thus, the number of cows is 54 and the number of chickens is 27 if the cows and the chickens, there are 162 eyes and 270 feet.

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Answer: The coordinate of L is 4.

Step-by-step explanation:

Let's say you were to plot the point on a number line and find the distance between P and G.

P is -6 on the number and G is 18 on the number so to find the distance between them we will need to find the different between the number and find its absolute value.

-6- 18 = -24  and the absolute value of -24 is 24.

In other words to get from -6 to 18 on the number line you need to move 24 units to the right.

Now to answer the question, we know that the distance between the two numbers is 24 and and it says that L is 1/6 of the distance.

We can represent that by the equation,

L = [tex]\frac{1}{6} * 24[/tex]

L =  4

Answer:

45?

Step-by-step explanation:

Answer:

242

Step-by-step explanation:

Instead of times you should use * to represent multiplication.

So, the expression is 4 + 34*7

We follow PEMDAS,

So first we multiply,

4 + 238

Now we add.

242

Answer:

               [tex]\bold{[g\circ f](x) = 2x^2-13x+2}[/tex]

Step-by-step explanation:

[tex]{}[g\circ f](x) = g[f(x)] \\\\{} [g\circ f](x)= g(x-5)\\\\{} [g\circ f](x) = 2(x-5)^2+7(x-5)-13\\\\{} [g\circ f](x) = 2(x^2-10x+25)+7x-35-13\\\\{} [g\circ f](x) = 2x^2-20x+50+7x-48\\\\{} [g\circ f](x) = 2x^2-13x+2[/tex]

Answer: x= 5 and y= -2

Step-by-step explanation:

Answer:

see below

Step-by-step explanation:

What is the theoretical probability that the family has two dogs or two cats? (1/2)

The choices are dd, dc, cd, cc

There are 4 choices = dd or cc/ total = 2/4 = 1/2

Let the heads of the coin be dogs and the tails of a coin be cats

Flip two coins and coin A is the first pet and coin B is the second pet

heads , heads = 10

heads, tails  14

tails heads  =13

tails tails =  13

          total 50

Experimental probability  2 dogs or 2 cats = ( hh, tt) /total = ( 10+13) /50 =                    23/50

If we had 3 pets  

what is the theoretical probability that they have three dogs or three cats?

ddd, ddc, dcd, dcc, ccc, ccd ,cdc, cdd

There are 8 options

 ddd or ccc/ total = 2/8 = 1/4

Let the heads of the coin be dogs and the tails of a coin be cats

Flip three coins and coin A is the first pet and coin B is the second pet Coin C be the third pet

Answer:

What is the theoretical probability that the family has two dogs or two cats? (1/2)

Experimental probability  2 dogs or 2 cats = 23/50

If the family has three pets, what is the theoretical probability that they have three dogs or three cats?

1/4=25%

Step-by-step explanation:

Answer:

im pretty sure the answer is b. im not 100% though

Step-by-step explanation:

1 cartons of juice = $4.20

3 single cartons = 4.20 * 3 =  $12.60

1 pack = $9.45

He saved 12.60 - 9.45 = $3.15

So, he saved $3.15, compared to the total ($12.60)

To calculate the percentage, we will do a proportion:

3.15 (money saved) : 12.60 (total of 3 single cartons) = x (how much percentage) : 100 (total)

3.15 : 12.6 = x : 100

To calculate x, we will moltiplicate the ends (where we have known numbers) than divide all per 12.6

So

x = (3.15 * 100) / 12.60 = 315 / 12.6 = 25

So the percentage saving is 25%

Jessica has 5 cupcake cases left.

First, divide 50 into groups of five. Next, subtract two groups of five from 50. Third, divide the remaining cases into groups of six. Finally, subtract 5 groups of six from the remains from the last subtraction equation.

The number of cupcake cases that Janissa has left will be 5.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

Janissa bought 50 cupcake cases for baking.

She used 2/5 of the cases to bake vanilla cupcakes. Then the number of vanilla cupcakes will be

⇒ 50 x 2 / 5

⇒ 20 vanilla cupcakes

Then the remaining cupcake cases will be

⇒ 50 - 20

⇒ 30 cupcake cases

She then used 5/6 of the remaining cases to bake chocolate cupcakes. Then the number of chocolate cupcakes will be

⇒ 30 x 5 / 6

⇒ 25 chocolate cupcakes

Then the remaining cupcake cases will be

⇒ 30 - 25

⇒ 5 cupcake cases

Then the number of cupcake cases that Janissa has left will be 5.

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Answer:

C

Step-by-step explanation:

We can expand, getting 3^(-8)(-2) multiplied by 7^(3)(-2).

The exponents on the 3 is 16 and -6 on the 7.

This is the same as c.

The equivalent expression of (3⁻⁸ • 7³)⁻² will be 3¹⁶• 7⁻⁶. The correct option is C.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

The expression will be simplified as below:-

(3⁻⁸ • 7³)⁻²  =  ( 3⁻⁸ˣ⁻²• 7³ ˣ ⁻² )

                 =  ( 3¹⁶• 7⁻⁶)

Therefore, the equivalent expression of (3⁻⁸ • 7³)⁻² will be 3¹⁶• 7⁻⁶. The correct option is C.

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Answer:

Step-by-step explanation:

For us to write a math expression for the problem, we will use the formula for calculating speed.

Speed is the change of distance of a body with respect to time.

Mathematically, Speed =  Distance/Time

Distance = Speed * Time

If  Lumpy drove for h hours at 50 mph, then Lumpy speed =  50mph and time = h hours.

Substituting the given parameters into the formula to get the distance;

Distance = 50mph * h hours

Distance = 50h miles

Hence the math expression that modeled how far Lumpy drive is 50h miles

Answer:

any x value would work

Step-by-step explanation:

4(x+4)

4*x=4x

4*4=16

4x+16=4(x+4)

Answer:

-6, 0, 15

Step-by-step explanation:

You just replace x with the given number.

g(-2)= 3(-2)

=-6

g(0)=3(0)

=0

g(5)=3(5)

=15

The required evaluated values of g(x) = 3x would be -6, 0, 15 respectevily when substitute the values x = -2, 0, and 5.

Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers.

Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions.

We have been the given expression:

g(x) = 3x

To determine the evaluated values of  g(x) = 3x when x= -2, 0, and 5

We have to substitute x with the given number.

⇒ g(x) = 3x

Substitute the value of x = -2 in the g(x) = 3x

⇒ g(-2) = 3(-2)

⇒ g(-2) = -6

Substitute the value of x = 0 in the g(x) = 3x

⇒ g(0) = 3(0)

⇒ g(0) = 0

Substitute the value of x = 5 in the g(x) = 3x

⇒ g(5) = 3(5)

⇒ g(5) = 15

Hence, the required evaluated values of g(x) = 3x would be -6, 0, 15 respectevily when substitute the values x = -2, 0, and 5.

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Answer:

Step-by-step explanation:

The total surface area of the sphere = 2πr²

Total surface area of the cylinder = 2πr²+2πrh

Total surface area of the solid = 4πr²+2πrh

r is the radius of the sphere and the cylinder

h is the height of the cylinder

Total surface area of the solid = 2πr(r+h)

If the total height of the solid is 18 cm, then r+h = 18cm

Given the Total surface area of the solid = 205π cm

205π = 2πr(r+h)

205π = 2πr(18)

205π = 36πr

205 = 36r

Divide both sides by 36

205/36 = 36r/36

r = 5.69cm

Since  r+h = 18cm

5.69+h = 18

h = 18-5.69

h = 12.31cm

Answer:

6.47 gal

Step-by-step explanation:

cost of gas per gallon = $2.78

rate of change is cost of gas per gallon as cost to buy gas changes with the change in quantity of gallon.

Total cost for x gallons = cost of gas per gallon*x = 2.78x

Given that total money paid by him is $18

2.78x = 18

x = 18/2.78 = 6.47

Answer:

6.47 gallons

Step-by-step explanation:

18 divided by 2.78 = 6.47

piece of cake, it's $0.37

all you have to do is divide $5.92 by 16 to figure out price per pound.

[tex]\frac{5.92}{16}=0.37[/tex]

to check your answer multiply 0.37 by 16 and you'll get 5.92

note: if you were to divide 16 by $5.92 (inverse operation) you would be solving for pounds per each dollar, and the question asks to find what she paid for each pound not how many pounds she bought for each dollar she spent; since you're trying to figure out a certain price so you also divide by a price. I hope this makes sense

Answer:

5 times x + 30 = 80            (x=10)

Step-by-step explanation:

5 times 10 is 50

50+30 is 80

Answer:

103°

Step-by-step explanation:

[tex] m\angle DST = m\angle DCS = 80\degree.. (\angle 's \: in\: alternate \: segment) [/tex]

[tex] In\: \triangle DST[/tex]

[tex] m\angle DTS = 180\degree - (60\degree + 80\degree) [/tex]

[tex] m\angle DTS = 180\degree - 140\degree[/tex]

[tex] m\angle DTS = 40\degree[/tex]

[tex] m\angle ETA+m\angle ETD+ m\angle DTS= 180\degree.. (straight \:line \:\angle 's) [/tex]

[tex] m\angle ETA+37\degree + 40\degree = 180\degree[/tex]

[tex] m\angle ETA+77\degree = 180\degree[/tex]

[tex] m\angle ETA = 180\degree-77\degree [/tex]

[tex] m\angle ETA = 103\degree [/tex]

[tex] x = m\angle ETA = 103\degree.(\angle 's \: in\: alternate \: segment) [/tex]

3/8 is classified as a rational number.

All fractions, positive or negative, are rational numbers.

Natural numbers, whole numbers, and integers don't include fractions.

Answer:

Rational

Step-by-step explanation:

A natural number is a whole number, so that eliminates natural and whole. An integer is a whole number that includes negative numbers. Since 3/8 is not a whole number, we can eliminate that too. Rational numbers are fractions that don't go on forever. 3/8 is a rational number.

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{n = 1}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{2 - 4n = 2 - 4(3 - 2n)} [/tex]

Distribute 4 through the parentheses

⇒[tex] \sf{ 2 - 4n = 2 - 12 + 8n}[/tex]

Move 8n to left hand side and change it's sign

⇒[tex] \sf{2 - 4n - 8n = 2 - 12}[/tex]

Collect like terms

⇒[tex] \sf{2 - 12n = 2 - 12}[/tex]

Move 2 to right hand side and change it's sign

⇒[tex] \sf{ - 12n = 2 - 12 - 2}[/tex]

Calculate

⇒[tex] \sf{ - 12n = - 12}[/tex]

Divide both sides of the equation by -12

⇒[tex] \sf{ \frac{ - 12n}{ - 12} = \frac{ - 12}{ - 12} }[/tex]

Calculate

⇒[tex] \sf{n = 1}[/tex]

Hope I helped!

Best regards!!

The question above is incomplete.

Complete Question

Michael keeps dogs, cows, cats and kangaroos as pets. He has 24 pets in total and 1/8 of them are dogs, 3/4 are not cows and 2/3 are not cats. How many kangaroos does Michael keep?

Answer:

7 kangaroos

Step-by-step explanation:

Total number of pets = 24

Fraction representing total number of pets = 1

Step 1

Number of dogs =

Fraction representing dog = 1/8

1/8 × 24 = 3

He has 3 dogs

Step 2

Number of cows =

From the question, we are told that 3/4 are not cows

Therefore, the number of cows he has =

1 - 3/4 = 1/4

The fraction representing cows = 1/4

Hence the number of cows he has =

1/4 × 24 = 6 cows

Step 3

From the question, we are also told that

2/3 are not cats

The fraction representing the number of cats he has=

1 - 2/3 = 1/3

Therefore, the number of cats he has =

1/3 × 24 = 8 cats.

Step 4

How many kangaroos does Michael keep?

We are asked, how many kangaroos he keeps.

Total numbers of pets = Number of dogs + Number of cows + Number of cats + Number of kangaroos

24 = 3 + 6 + 8 + Number of kangaroos

Number of kangaroos = 24 -(3 + 6 + 8)

= 24 - 17

= 7

Therefore, the number of kangaroos that Michael has is 7 kangaroos

Answer:

Total time when cost are equal = 600 minutes

Total cost = 104

Step-by-step explanation:

Given:

Plan A = costs 8 plus an additional 0.16 for each minute

Plan B = costs 20 plus an additional 0.14 for each minute

Find:

Total time when cost are equal

Computation:

Assume total time = x minutes

Plan A = 8 + 0.16x

Plan B = 20 + 0.14x

Plan A = Plan B

8 + 0.16x =  20 + 0.14x

0.02x = 12

x = 600 minutes

Total time when cost are equal = 600 minutes

Total cost = 8 + 0.16x

Total cost = 8 + 0.16(600)

Total cost = 104

Answer:

900 grams.

Step-by-step explanation:

1 kg = 1000 grams.

0.9 kg = 1000 * 0.9

= 900 grams.

Answer:

900 grams is the answer

Answer:

f(-4) = -18 and if f(x) = -9, then x = -1

Step-by-step explanation:

To find f(-4), we plug x = -4 into f(x) so f(-4) = 3 * (-4) - 6 = -12 - 6 = -18. To find x when f(x) = -9, we can write:

-9 = 3x - 6

-3 = 3x

x = -1

Answer:

[tex]Probability = \frac{1}{8}[/tex]

Step-by-step explanation:

Given

Represent Boys with B and Girls with G

[tex]P(B) = \frac{1}{2}[/tex]

[tex]P(G) = \frac{1}{2}[/tex]

Required

Find the probability or having 1 boy 2 girls

Since the order is not important, the probability is calculated as follows;

[tex]Probability = P(B) * P(G) * P(G)[/tex]

Substitute [tex]\frac{1}{2}[/tex] for P(B) and P(G)

[tex]Probability = \frac{1}{2} * \frac{1}{2} * \frac{1}{2}[/tex]

[tex]Probability = \frac{1 * 1 * 1}{2 * 2 *2}[/tex]

[tex]Probability = \frac{1}{8}[/tex]

Hence, the fractional probability is [tex]\frac{1}{8}[/tex]

Answer:

C. multiplication

Step-by-step explanation:

P= ()

E=^

M=x

D=/

A=+

S=-

Answer:

x+3y-6=0

Step-by-step explanation:

given eqn is y=3x-2 which is 3x-y-2=0

the eqn of line perpendicular to given eqn is -x+3y+k=0

it passes through (6,4)

-6+3*4+k=0

or,. -6+12+k=0

or, k= -6

therefore, the eqn of line perpendicular to given eqn is x+3y-6=0