quick help me please

The value of the variables in the equation are as follows:

1. x = -4 / 9

2. t = -8

3. x = -54

4. x = -3

5. x = 1 / 6

Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign.

Let's find the solution of the equations. The solution of the equation is the value of the variable x. A variable is a number represented by a letter in an equation.

Therefore,

1.

-4  = 9x

divide both sides of the equation by 9

x = - 4 / 9

2.

−32=4t

divide both sides of the equation by 4

t = - 32 / 4

t = - 8

3.

x − 18 = −72

add 18 to both sides of the equation

x - 18 + 18 = -72 + 18

x = -54

4.

−18 = x − 15

add 15 to both sides of the equation

-18 + 15 = x - 15 + 15

-3 = x

x = -3

5.

−24x = −4

divide both sides of the equation by - 24

x = - 4 / -24

x = 1 / 6

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Answer:

Diameter = 3.1831 cm  (aprox)

Step-by-step explanation:

Diameter = circle / π

π ≈ 3.1414

Then:

Diameter = 10 / 3.1418

Diameter = 3.1831 cm

Answer:

(y+12)/5=x

Step-by-step explanation:

y=5x-12

get x by itself

y+12=5x

divide both sides by 5

(y+12)/5=x

The given equation x/4 - y = -2(x/y) can be expressed in a verbal sentence as the difference between the fourth fraction of x and y is equal to minus of twice the fraction of x and y.

How to express the mathematical equation in the form of a verbal sentence?    

To express the mathematical equation in the form of a verbal sentence, we have to express the operations by using sentences.

Let's take an example,

                   x + y = 4.

Then the verbal form will be the sum of two numbers is 4.

Hence, the given expression can be expressed as the difference between the fourth fraction of x and y is equal to minus of twice the fraction of x and y.

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Answer:

N=138

Step-by-step explanation:

(4x+6) + N = 180

In order to complete this problem we need to solve for x. 4x+6=7x-21

Subtract on both sides

Subtract again

Divide

x=9

Plug it in now so 4 times 9 plus 6. 36, plus 6 = 42.

plug it in to the equation 42+N=180

                                         -42       -42

                                                    138 = N

Answer:

[tex]=45[/tex]

Step-by-step explanation:

1 ) Simplify

[tex]\frac{(18^7)(20^7)}{(25^3)(2^2^1)(27^4)}[/tex]

[tex]= \frac{612220032(20^7)}{(25^3)(2^2^1)(27^4)}[/tex]

[tex]= \frac{(612220032)(1280000000)}{(25^3)(2^2^1)(27^4)}[/tex]

[tex]= \frac{783641640960000000}{(25^3)(2^2^1)(27^4)}[/tex]

[tex]= \frac{783641640960000000}{15625(2^2^1)(27^4)}[/tex]

[tex]= \frac{783641640960000000}{(15625)(2097152)(27^4)}[/tex]

[tex]= \frac{783641640960000000}{32768000000(27^4)}[/tex]

[tex]= \frac{783641640960000000}{(32768000000)(531441)}[/tex]

[tex]= \frac{783641640960000000}{17414258688000000}[/tex]

[tex]=45[/tex]

Hope this helps! :)

Answer:

[tex]\textsf{Quotient}: \quad 2i^3+4i^2-5i+6[/tex]

[tex]\textsf{Simplified Quotient}: \quad 2-7i[/tex]

Step-by-step explanation:

Long division method

Given rational expression:

[tex]\dfrac{2i^4-6i^3-25i^2 +31i-30}{i -5}[/tex]

Solve using long division:

[tex]\large \begin{array}{r}2i^3+4i^2-5i+6\phantom{)}\\i-5{\overline{\smash{\big)}\,2i^4-6i^3-25i^2 +31i-30\phantom{)}}}\\{-~\phantom{(}\underline{(2i^4-10i^3)\phantom{-b00000000000.)}}\\4i^3-25i^2+31i-30\phantom{)}\\-~\phantom{()}\underline{(4i^3-20i^2)\phantom{))))))))))))}}\\-5i^2+31i-30\phantom{)}\\-~\phantom{()}\underline{(-5i^2+25i)\phantom{........}}\\6i-30\phantom{)}\\-~\phantom{()}\underline{(6i-30)\phantom{}}\\0\phantom{)}\end{array}[/tex]

Therefore, the quotient is:

[tex]2i^3+4i^2-5i+6[/tex]

Imaginary number rule

[tex]i^2=-1[/tex]

Simplify the quotient:

[tex]\implies 2i^3+4i^2-5i+6[/tex]

[tex]\implies 2i^3+4(-1)-5i+6[/tex]

[tex]\implies 2i^3-4-5i+6[/tex]

[tex]\implies 2i^3-5i-4+6[/tex]

[tex]\implies i(2i^2-5)+2[/tex]

[tex]\implies i(2(-1)-5)+2[/tex]

[tex]\implies-7i+2[/tex]

[tex]\implies 2-7i[/tex]

The domain of the relation is 1,-1,-2, and 1. The range of the function is -2,2,4, and 3.

A function is defined as the expression that set up the relationship between the dependent variable and the independent variable.

A function's range is the collection of values it can take as input. After we enter an x value, the function outputs this sequence of values. The domain of the function is defined as the set of all the possible values of the function.

The domain of the relation is 1,-1,-2, and 1. The range of the function is -2,2,4, and 3.

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The possible combination of the number of peaches and apricots they can get for $5 is 2 peaches and 5 apricots.

The equation that represents the total cost of peaches and apricots is:

Total cost = (number of peaches x cost of one peach) + (number of apricots x number of apricots)

$5 = ($0.85 x p) + ($0.55 x a)

Total cost of buying 1 peach and 8 apricots:

($0.85 x 1) + ($0.55 x 8) = $5.25

Total cost of buying 2 peaches and 5 apricots:

($0.85 x 2) + ($0.55 x 5) = $4.45

Total cost of buying 3 peaches and 7 apricots:

($0.85 x 3) + ($0.55 x 7) = $6.40

Total cost of buying 4 peaches and 3 apricots:

($0.85 x 4) + ($0.55 x 3) = $5.05

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The rate of change of the exponential function f(x) = 2(2)ˣ is 2

An equation shows the relationship between two or more numbers and variables.

An exponential function is in the form:

y = abˣ

Where a is the initial value and b is the rate of change.

Given the function:

f(x) = 2(2)ˣ

Hence rate of change = 2

The rate of change is 2

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Work Shown:

p * q = 3p + 2q - 5

3 * 2 = 3(3) + 2(2) - 5

3 * 2 = 9 + 4 - 5

3 * 2 = 13 - 5

3 * 2 = 8

Answer:

167 miles without the cost of the rental

Step-by-step explanation:

Daniela needs to rent a car while on vacation. The rental company charges $19.95, plus 18 cents for each mile driven. If Daniela only has $50 to spend on the car rental, what is the maximum number of miles she can drive? Round your answer to the nearest mile.

equation: where m = miles driven

50 = 0.18m + 19.95

subtract 19.95 from both sides:

50 - 19.95= 0.18m + 19.95 - 19.95

30.05 = 0.18m

divide both sides by 0.18:

30.05/0.18 = 0.18m/0.18

m = 166.9444

rounded: 167 miles without the cost of the rental

Answer:

167 :)

Step-by-step explanation:

it's math :)

The expression that represents the change in depth is |-45 + 20|

From the question, the endpoints are given as

Initial point = 20 feet below the sea level

Final point = 45 feet below the sea level

Rewrite the endpoints properly

This is done as follows

Initial point = -20

Final point = -45

The distance expression between the endpoints is then calculated as

Distance = |Final point - Initial point|

Substitute the known values in the above equation

So, we have the following equation

Distance = |-45 + 20|

Hence, the distance expression is |-45 + 20|

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Answer:

what do you need help with?

Answer:

Step-by-step explanation:

You need a picture of the item.

[tex] = 2x(x - 3) - 5(x - 3) \\ = 2 {x}^{2} - 6x - 5x + 15 \\ = 2 {x}^{2} - 11x + 15 [/tex]

ATTACHED IS THE SOLUTION

Answer:

2 : 45

Step-by-step explanation:

Answer:

It will take 37.5 minutes for both containers to reach the same amount of water which is 1050 mL

Step-by-step explanation:

1500 - (12 × 37.5) = 1050

600 + (12 × 37.5) = 1050

Ramundo will get a better deal at Roller worlds.

This is a question of percentages.

Given that:-

Regular price of rollerblades at roller world = $ 94

Discount at rollerworld = 15 %

Price of rollerblades at Outdoor adventures = $ 81.50

Sales tax = 6 %

Price of rollerblades at roller world after discount = 94 - (15/100)*94 = 94 - 14.1 = $79.9

Price of rollerblades at roller world after sales tax = 79.9 + (6/100)*79.9 = 79.9 + 4.794 = $ 84.694

Price of rollerblades at outdoor adventures = $81.50

Price of rollerblades at roller world after sales tax = 81.50 + (6/100)*81.50 = 81.50 + 4.89 = $ 87.39

As,

$ 84.694 <  $ 87.39

Ramundo will get a better deal at Roller worlds.

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Answer:

4054

Explanation:

171 is the three-digit palindrome that ends with 71

3883 is the four-digit palindrome that ends with 83

171 + 3883 = 4054

Answer:

I think its 7/3 or 6/4

Step-by-step explanation:

Answer:

Step-by-step explanation:

(a) Because there are 7 red and 4 blue marbles, there are 7+4=11  marbles in the bag.

So the ratio of all marbles to blue marbles is 11 to 4.

We write this as follows. 11:4

(b)There are 7 red marbles and 4 blue marbles in the bag.

So the ratio of red marbles to blue marbles is 7 to 4.

We write this as follows. 7:4

Using mathematical operations, we know that temperature after 6 p.m. will be -22.7°F.

So, the temperature after 6 p.m. will be:

The temperature at different times:

Now, calculate to get the temperature after 6 p.m. as follows:

Therefore, using mathematical operations, we know that the temperature after 6 p.m. will be -22.7°F.

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Answer: 5+3*3(3)-2= 30

Step-by-step explanation: Replacing x with 2 and using PEMDAS

The quadratic equation x² + 16 · x + 80 has two roots: x₁ = - 1 / 10 + i (4 / 5), x₂ = - 1 / 10 - i (4 / 5).

In this question we find a quadratic equation of the form a · x² + b · x + c = 0, whose roots can be found by using the quadratic formula:

x = - b / (2 · a) ± [1 / (2 · a)] · √(b² - 4 · a · c)

Where b² - 4 · a · c is the discriminant of the quadratic formula, which offers three cases of solutions:

If we know that a = 1, b = 16 and c = 80, then the roots of the quadratic equation are, respectively:

x = - 16 / 160 ± (1 / 160) · √(16² - 4 · 1 · 80)

x = - 1 / 10 ± (1 / 10) · √(- 64)

x = - 1 / 10 ± i (4 / 5)

The roots are - 1 / 10 + i (4 / 5) and - 1 / 10 - i (4 / 5).

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Answer:

yhj

Step-by-step explanation:

all in the text bag with you high bag GM DJ tee SB hy DJ DJ TV DJ DJ DJ DJ CB jus DJ tty 464+7557+56(6)=7

The weight of the eggs in grams 95.38 grams.

Let X the random variable that represent the weights of a population, and for this case we know the distribution for X is given by:

X ~ N(58,21)

where µ = 58 and σ = 21

The z score for this case is given by this formula:

z = x -  µ/σ

We know that the value of z = 1.78 and we want to estimate the value of X. If we solve for X from the z formula we got:

X =  µ+1.78σ

= 58 + 1.78×21

= 95.38

So, the corresponding weight for a z score of 1.78 is 95.38 grams.

Hence we get the required answer.

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Answer:

34 inches

Step-by-step explanation:

[tex]c = \sqrt{ {16}^{2} + {30}^{2} } [/tex]

[tex]c = \sqrt{256 + 900} [/tex]

[tex]c = \sqrt{1156} = 34[/tex]

Answer:

34 inches...................

The required value of h(0) = 5 in the given function is represented in the shown graph.

A graph can be defined as a visual representation or a diagram that represents data or values.

The function is given in the represented graph of g(x)

We have to determine the value of h(0) of the given function in the graph

According to the given graph, we can see that when the value of variable x is 0 and the value of variable y is 5, the domain of the provided function h(x) is 5. This implies that h(0) = 5.

Therefore, the required value of h(0) = 5 in the given function is represented in the shown graph.

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Answer:

8.50x + 6.00y < 60 and y > 3.

Please consider the complete question.

Amy's restaurant has a budget of at most $60 to spend this month on gourmet coffee. All international blends cost $8.50 per package and all house blends cost $6.00 per package. She would like to purchase some global combinations and at least 3 boxes of the house blends. Write a system of linear inequalities that describes this situation.

Let x represent the number of international blends and y represent the number of house blends.

The cost of x international blends would be and the cost of y house blends would be.

Since Amy's restaurant has a budget of at most $60 to spend this month on gourmet coffee, so the cost of x international blends and y house blends should be less than or equal to 60.

We can represent this information in an inequality as:

Since Amelia wants to purchase at least 3 packages of the house blends, so y should be greater than or equal to 3. We can represent this information in an inequality as:

Therefore, our required system of inequalities would be 8.50x + 6.00y < 60 and y > 3.

Step-by-step explanation: