-3x + 18 = 6

x = ___
show work please

Answer:

1) q = (sq rt 15 - 2) / 3

2) d = (sq rt 3 - 1) / 4

3) m = 15 * sq rt 3

Step-by-step explanation:

1.√3q + 2 = √5

we bring to the power of 2 each element

(√3q)^2+2^2=√5^2

3q+4=5

3q=4-5

q=1/3

2.

4d+1=√3

we do the same thing

16d^2+1=3

16d^2=2

d^2=2/16

d^2=1/8

d=√1/√8

3.

m/√3 -11=4

first we rationalise by multiplying the first fraction with √3

m√3 /3-11=4

now we can bring to the power of 2

3m^2/9-121=16

3m^2/9=137

m^2/3=137

m^2=411

m=√411

Answer:

1/2

1/2 = 50%

9/12 = 75%

Step-by-step explanation:

Answer:

He initially has $50 on his card.

For each night that he goes to play, $10 are discounted from the card, then if he went x nights to play, the amount of money that there is in the card is:

b(x) = $50 - $10*x

Now, notice that x must be a whole number because this measures the number of nights that he went to play, and we can not have rational numbers to describe this.

Then the domain of this function will be discrete (and this implies that the range must also be discrete)

Where the possible values of x are:

{0, 1, 2, 3, 4, 5}

(after x = 5, there is no more money in the card)

And the possible values of b(x) are:

{$0, $10, $20, $30, $40, $50}

Answer:

.5 or 1/2

Step-by-step explanation:

Y^2x 24^2=25^2

Y=7

7=14x

x=.5

The value of x is 0.5.

Here we use Pythagoras Theorem

[tex]Y^2 - 24^2=25^2[/tex]

Y=7

Now  

7 = 14x

So, x=.5

Therefore we can conclude that The value of x is 0.5.

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Answer:

24

Step-by-step explanation:

If 20 × 3 = 60 which is an hour then you do 8 × 3 = 24.

So 24 boxes

Answer:

Step-by-step explanation:im sorry im only 11

Answer:

dumyemimynumifgmfdhum

Answer:

C

Step-by-step explanation:

We have the system of equations:

[tex]\displaystyle -2x+5y=19 \\\\ y=-\frac{5}{6}x-\frac{1}{6}[/tex]

And we want to use the graph to approximate the solution to the system.

Remember that, graphically, the solution to a system of equations is where the two graphs intersect.

We can see that the point at which the two lines intersect is in QII.

Hence, x is negative and y is positive.

The only choices that satisfies these conditions are B or C.

However, for B, -5/2 is -2.5. As we can see from the graph, the x-coordinate of the point of intersection is less than -3.

Hence, the only choice left is C. -13/4 also is -3.25, fulfilling our condition.

So, our final answer is C.

Answer:

Principle for account B is greater.

Step-by-step explanation:

First of all, let us have a look at the formula for Simple Interest:

[tex]SI =\dfrac{PRT}{100}[/tex]

Where [tex]P[/tex] is the principle amount

[tex]R[/tex] is the Rate of interest per annum

[tex]T[/tex] is the time in years.

Time = 21 months = [tex]\frac{21}{12}\ yrs[/tex]

[tex]R_1 = 3\% \\R_2=4\%[/tex]

Let the Principles be [tex]P_1, P_2[/tex].

Using the formula for Simple Interest, we get:

[tex]SI_1=\dfrac{P_1\times 3\times 21}{100\times 12}\\\Rightarrow 15.75=\dfrac{P_1\times 3\times 21}{100\times 12}\\\Rightarrow P_1 = 300[/tex]

[tex]SI_2=\dfrac{P_2\times 4\times 21}{100\times 12}\\\Rightarrow 28=\dfrac{P_2\times 3\times 21}{100\times 12}\\\Rightarrow P_2 = 533.33[/tex]

Therefore, principle for account B is greater.

Answer:

214.8 - 19* 4 =

214.8 - 76 =

138.8

therefore your answer is 138.8

Step-by-step explanation:

Answer:

76

Step-by-step explanation:

19 * 4 = 76

Answer:

I would say the tree is 18 feet tall

Answer: 25 feet tall

Step-by-step explanation:

First, let's take a look at the person. If they are 5 feet tall and cast a shadow of 3 feet, we can easily convert this into a proportion: 5 feet tall: 3 feet shadow.

Continuing with this method, we can convert the tree into a proportion: x feet tall: 15 feet shadow.

So, 5:3=x:15. Mathematically, think of it as 5/3=x/15.

To find x, you will need to multiply 15 to both sides, or perform cross multiplication.  (5/3)(15)=(x/15)(15). This will equal 25. The tree is 25 feet tall.

Answer:

the first one

[tex].5x+10\geq .25x+15[/tex]

Step-by-step explanation:

They want to know how much I will take for the amount they have read to be the same. So that automatically crosses out the last one. They asking you to subtract anything so that crosses the third one out. The second option has the number of pages the both read first switched so that crosses that one out.

I hope this explanation was helpful.

Answer:

- infinite 3 for the first one. x<3

x>2 ....2 infinite

Answer:

i would go for a but im not really sure. sorry if incorrect

Step-by-step explanation:

Answer:Simplifying

x = -2.125

Step-by-step explanation:Add '-10' to each side of the equation.

10 + -10 + 8x = -7 + -10

Combine like terms: 10 + -10 = 0

0 + 8x = -7 + -10

8x = -7 + -10

Combine like terms: -7 + -10 = -17

8x = -17

Divide each side by '8'.

x = -2.125

Simplifying

x = -2.125

Answer:

A

Step-by-step explanation:

It goes up by 4 for each cup of flour and over 1 for every cup of milk. Please Brainliest

Answer: 891.06

Step-by-step explanation:

add 800.54 by 90.52

Answer:

a) x=3

y=6*3+4

=22

b) x=4

y=6*4+4

=24

c) x=6

y=6*6+4

=40

d) x=7

y=6*7+4

=46

Answer:

i think it is b correct me if i am rong

Step-by-step explanation:

The correct equation for the solution to be one will be y = 2(x -1) hence, the correct option is (B).

The link between lines and points is described by a graph, which is a diagrammatic representation of a network. A graph is made up of some points and the distance between two. It doesn't matter how much time the lines are or where the points are located. A node is a name for each constituent in a graph.

For example to draw the equation y = 2x +9 this will draw a straight line in the coordinate geometry.

Given that an equation y = 2x - 2 now another equation draw which should intersect with the line y = 2x - 2 at a single point only so that the system has only one solution.

so the y = 2x - 2 should be matched with any one option.

By cross-checking the option it will be (B) with equation y = 2(x -1).

For more details about the graph

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Answer:

I know that the equation has infinity many solution

12x+8=12x+8

That would be the final answer

Answer:

A. 2x³ - 1

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

Step 1: Define

f(x) = 2x³ + 3

g(x) = x - 4

Step 2: Find g(f(x))

Answer:

30 angels

Step-by-step explanation:

Answer:

35%

Step-by-step explanation:

If you take the amount of percent the girls decreased, and the amount the boys increased in percentages, you will have your answer when just adding them together. So the answer is 35% or as in 6 boys joined and 2 girls left. So that gives you a total of 8 joining or leaving the chess club or 35% difference.

Answer:

4.3

Step-by-step explanation:

14.3 - 2 × 5² ÷ 5

14.3 -2 ×25÷5

14.3 -2 × 5

14.3 - 10

4.3

Answer:

1/3

Step-by-step explanation:

The probability of an event E in a sample space S is P(E) = desired outcome/total number of possible outcomes.

The probability of encountering a red light at the intersection P(red light on) = time it takes red light to stay on/total time all the lights stay on, where desired outcome = time it takes red light to stay on on route A and total number of possible outcomes = total time all the lights stay on.

Since all the other two lights have to come on after the red light goes off and before the red light comes on again, and the red light has to be on to encounter it at an intersection.

So, P(red light on) = 60 s/(60 s+ 45 s+ 75 s)

= 60 s/180 s

= 1/3

Answer:

53 shares

Step-by-step explanation:

Calculation for how many SHARES did he then own

Using this formula

Numbers of shares=[ (Dividend percentage payable in stock ×Shares of stock)+Shares of stock]

Let plug in the formula

Numbers of shares= [(.06 x 50 shares)+50 shares]

Numbers of shares= 3 + 50 shares

Numbers of shares = 53 shares

Therefore How many shares did he then own is 53 shares

Answer:

8

Step-by-step explanation: