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Alex777 [14]
3 years ago
13

What is the value of x? Enter your answer in the box. x = I NEED HELP ASAP

Mathematics
1 answer:
melomori [17]3 years ago
8 0

The sum of the angles of a triangle is 180°. So you can do:

91° + (8x + 3)° + (10x - 4)° = 180°   To find x, you need to isolate/get the variable "x" by itself in the equation. First combine like terms (terms that have the same variable and power/exponent]

91 + 3 - 4 + 8x + 10x = 180      (I rearranged for the like terms to be next to each other)

90 + 18x = 180      Subtract 90 on both sides

18x = 90       Divide 18 on both sides to get "x" by itself

x = 5

PROOF

91° + (8x + 3)° + (10x - 4)° = 180°       Plug in 5 for "x"

91° + (8(5) + 3)° + (10(5) - 4)° = 180°

91° + (40 + 3)° + (50 - 4)° = 180°

91° + 43° + 46° = 180°

180° = 180°

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Your class raised money by selling hot dogs and hamburgers. Hot dogs were sold for $.50 (fifty cents), and hamburgers were sold
LenKa [72]

Answer:

Number of hot dogs sold =  56

Number of  hamburgers sold = 52

Step-by-step explanation:

Let

Number of hot dogs sold = x

Number of  hamburgers sold = y

We can make equation from given equations:

0.50x+1y=80 (Hot dogs were sold for $.50 (fifty cents), and hamburgers were sold for $1 (one dollar). The total money raised by your class was $80. )

x+y=108  (Together you sold 108 hot dogs and hamburgers.)

Now we cam solve these system of equations to find value of x and y

0.50x+y=80--eq(1)\\x+y=108--eq(2)

Subtract both equations to get value of x:

0.50x+y=80\\x\:\:\:\:\:\:\:\: + y=108\\-\:\:\:\:\:\:\:\: -\:\:\:\:\:\: -\\---------\\-0.5x=-28\\x=\frac{-28}{-0.5}\\x=56

We get value of x = 56

Now putting value of x in equation 2 to find value of y

x+y=108\\56+y=108\\y=108-56\\y=52

So, we get y = 52

Therefore,

Number of hot dogs sold = x = 56

Number of  hamburgers sold = y = 52

6 0
3 years ago
Cheryl bought 16 pounds of apples for $12. How much did it cost per
algol [13]

Answer:

.75

Step-by-step explanation:

$12 / 16 = $0.75

8 0
2 years ago
Read 2 more answers
PLZZ help with this!!!!
murzikaleks [220]

Answer:

2x² + 15x + 27

Step-by-step explanation:

(2x + 9)(x+3)

2x² + 6x + 9x+ 27

2x² + 15x + 27

6 0
3 years ago
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mash [69]

Answer:

2

Step-by-step explanation:

10-2=8.

4 0
3 years ago
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the rileys are replacing the carpet on their outdoor deck. the deck is a regular hexagon with radius 9ft. the cost for the carpe
love history [14]
Hexagon radius = side = r =9 ft.

Hexagon Area = (3√3)/2 * r²

∴ Area = (3√3)/2 * 9² ≈ 210.444 ft²

<span>The cost for the carpet and installation is $3.75/ft²

∴ The total cost = Area * cost per ft²
                          = 210.444 * 3.75
                          = $ 789.166
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6 0
3 years ago
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