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Sliva [168]
3 years ago
11

4/9 (x+3)=g. Solve for X. State any restrictions on the variables

Mathematics
1 answer:
ivann1987 [24]3 years ago
5 0
The solution for this problem is:
\frac{4}{9}(x + 3)=g \\ 4(x+3) = 9g \\ (x+3)= \frac{9g}{4}   \\ x= \frac{9g}{4} -3


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At Niagra High, Mr. Borton bought 4 student tickets and 2 adult tickets for the high school musical which cost $64. then Mrs. Ge
balandron [24]

Answer:

Each student ticket costs $8.33

Each adult ticket costs $15.34

Step-by-step explanation:

At Niagra High, Mr. Borton bought 4 student tickets and 2 adult tickets for the high school musical which cost $64. then Mrs. Gelvoria bought 3 student tickets and 3 adult tickets for the show and it cost her $72. How much are each type of tickets?​

s = cost of each student ticket

a = cost of adult ticket

Our system of equations:

4s + 2a = 64

3s + 3a = 71

-3(4s + 2a = 64) ==> -12s - 6a = -192

2(3s + 3a = 71) ==>     6s + 6a = 142

-12s - 6a = -192

  6s + 6a = 142

-6s = -50

/-6      /-6

s = $8.33 (the cost of each student ticket)

Now, let's find the cost of each adult ticket:

4s + 2a = 64

4(8.33) + 2a = 64

33.32 + 2a = 64

-33.32         -33.32

2a = 30.68

/2        /2

a = 15.34 (the cost of each adult ticket)

(x, y) ==> (8.33, 15.34)

Check your answer:

4s + 2a = 64

4(8.33) + 2(15.34) = 64

33.32 + 30.68 = 64

64 = 64

This statement is true

Hope this helps!

8 0
2 years ago
Label the vertices and state the Pythagorean Theorem for the following right triangle. Find x.
Ganezh [65]

Answer:

Pythagorean Theorem Statement is below.

Therefore the value of x is 9 m.

Step-by-step explanation:

Given:

Label the vertices as A , B , C shown in figure below such that

∠A = 90°

AC = Longer leg = 12 m

AB = Shorter leg = x

BC = Hypotenuse = 15 m

To Find:

x = ?

Solution:

Pythagorean Theorem :

Pythagorean Theorem States that "the square of the length of the hypotenuse of a right triangle equals the sum of the squares of the lengths of the other two sides".

Which can be Written as

(\textrm{Hypotenuse})^{2} = (\textrm{One Side})^{2}+(\textrm{Other Side})^{2}

OR

(\textrm{Hypotenuse})^{2} = (\textrm{Shorter leg})^{2}+(\textrm{Longer leg})^{2}

i.e (BC)^{2}=(AB)^{2}+(AC)^{2}

Substituting the values AB ,AC, BC we get

(15)^{2}=(x)^{2}+(12)^{2}\\(x)^{2}=225-144=81\\(x)^{2}=81\\Square\ Rooting\\x=\sqrt{81}=9\\x=9\ m

Therefore the value of x is 9 m.

4 0
3 years ago
Help pls, I need Help :D
Oliga [24]
Answer:

5

Step-by-step explanation:

Step 1. Get two points off the graph

Points: (-70, 0) and (-60, 50)

Step 2. Use the two points to find the slope

m = slope

m = change in y/change in x

m = y2 - y1/x2 - x1

m = 50 - 0/-60 - -70

m = 50/10

m = 5/1

m = 5

The slope is 5

3 0
2 years ago
Can y’all help me and tell me what the answer is please I’m a bit stuck
12345 [234]

Answer:

The correct choice is:

-2 to the 4th power is positive 16.

Option C is correct.

Step-by-step explanation:

We need to find mistake make in work below:

(-2x^4)^4=-16x^{16}

The mistake here is when we have even power, the negative sign gets positive i.e (-a)^m=a^m if m is even

so, in our case it would be:

(-2x^4)^4=16x^{16}

The correct choice is:

-2 to the 4th power is positive 16.

Option C is correct.

5 0
2 years ago
2x^5+12x^4+16x^3-12x^2-18x=0
Alex Ar [27]
<span><span><span><span><span><span><span> I believe the answer is </span></span>x</span></span>=<span>−<span><span>1<span> or x = 0 or </span></span>x</span></span></span>=<span><span>1<span> or </span></span>x</span></span>=<span>−<span><span>3<span> </span></span></span></span></span>
4 0
3 years ago
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