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Harrizon [31]
3 years ago
12

5x -30 = 3x + 60 How many solutions are there

Mathematics
1 answer:
Lynna [10]3 years ago
4 0

Answer:

one solution

Step-by-step explanation:

5x - 30 = 3x + 60

2x - 30 = 60

2x = 90

x = 45

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Alaska's Wrangell St Elias National Park is the largest national Park in the United States with an area of 13,005 squar miles.Th
PtichkaEL [24]

The correct algebraic expression will be the area of Alaska's Wrangell St Elias minus Gates park so the expression is:

13005-g

5 0
2 years ago
Solve the triangle. Round your answers to the nearest tenth.
butalik [34]

The missing information of the triangle is C = 63°, b ≈ 28.084 and c ≈ 25.084. (Correct choice: C)

<h3>How to determine the missing sides and angles</h3>

In this question we have a triangle with a known <em>side</em> lengths and two known <em>angle</em> measures. First, we find the missing angle by <em>Euclidean</em> geometry:

C = 180° - 94° - 23°

C = 63°

Lastly, we determine the <em>missing</em> sides by law of sines:

b = 11 \times \frac{\sin 94^{\circ}}{\sin 23^{\circ}}

b ≈ 28.084

c = 11 \times \frac{\sin 63^{\circ}}{\sin 23^{\circ}}

c ≈ 25.084

The missing information of the triangle is C = 63°, b ≈ 28.084 and c ≈ 25.084. (Correct choice: C)

To learn more on triangles: brainly.com/question/2773823

#SPJ1

8 0
2 years ago
6. What are the mean and the mode of the following set of data: 5, 12, 1, 5, 7
Firlakuza [10]
Mode is 5 and mean is 6:))
8 0
3 years ago
Read 2 more answers
What is the median of the data set? {17, 40, 23, 44, 44, 30} Enter your answer in the box.
beks73 [17]
To find the median of the data set, we must first order them from lowest to highest in increasing order. Let's rearrange them in that way:

{17, 23, 30, 40, 44, 44}

Then we begin by crossing one off from each side, until we get to the middle. However, we see that our middle here is both 30 and 40.

What we do in a case like this is add up the two numbers and divide by 2 (essentially find the mean of the two middlemost numbers). Let's do that now:

30+40=70

\frac{70}{2}=35

So now we know that the median of the set of data is 35.
8 0
4 years ago
Use suitable identities to find the product of 1) (x-4) (x+10) 2) (3x+4) (3x +5) 3) (-3a +5b +4c)^2
OverLord2011 [107]

Answer:

Step-by-step explanation:

(x-4) (x+10)  ⇒ (x+a)(x+b)=x²+(a+b)x+ab

a=-4 , b=10

x²+(-4+10)x+-4(10)

x²+6x-40

(3x+4) (3x +5)

3(x+4/3) *3(x+5/3)  ⇒ identity : (x+a)(x+b)=x²+(a+b)x+ab  

a=4/3    b=5/3

3*3=9

9[x²+(4/3 +5/3)x+4/3(5/3)]

9[x²+9/3 x+20/9]

9x²+27x+20

(-3a +5b +4c)^2  ⇒  

suitable identity is (a+b+c)²= a² + b² + c² + 2ab + 2bc + 2ca

a=-3a , b=5b , c=4c

9a²+25b²+16c²- 30ab +40bc - 24ca

5 0
4 years ago
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