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3 years ago

-4x+5 + -13x+39=180 angle measure

Mathematics

1 answer:

mylen [45]3 years ago

5 0

Step-by-step explanation:

−4x+5−13x+39=180

Step 1: Simplify both sides of the equation.

−4x+5−13x+39=180

−4x+5+−13x+39=180

(−4x+−13x)+(5+39)=180(Combine Like Terms)

−17x+44=180

Step 2: Subtract 44 from both sides.

−17x+44−44=180−44

−17x=136

Step 3: Divide both sides by -17.−17x

−17

136

−17

x=−8

Answer:

x=−8

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4 years ago

Beth bought 20 tickets to a movie, where adult tickets cost $8.00 and senior citizen tickets cost $4.00. She spent a total of $1

olchik [2.2K]

Answer:

The Total number of adults ticket's is 15

The Total number of Senior citizen ticket's is 5

Step-by-step explanation:

Given as :

The total number of movies tickets were bought = 20

The cost of adults tickets = $ 8.00

The cost of senior citizen tickets = $ 4.00

The total money spent on movie tickets = $ 140

Let The total number of adults tickets = A

And The total number of senior citizen tickets = S

Now, According to question

The total number of movies tickets were bought = 20

I.e The total number of adults tickets + The total number of senior citizen tickets = 20

Or, A + S = 20

And $ 8 A + $ 4 S = $ 140 .........1

I.e 8 × ( A + S ) = 8 × 20

Or, 8 A + 8 S = 160 .......2

Solving the equation 1 and 2

Or, ( 8 A + 8 S ) - ( 8 A + 4 S ) = 160 - 140

Or, ( 8 A - 8 A ) + ( 8 S - 4 S ) = 20

or, 0 + 4 S = 20

∴ S = $\frac{20}{4}$

I.e S = 5

So, The number of Senior citizen ticket's = 5

Put The value of S in eq 1

So, 8 A + 4 × 5 = 140

Or, 8 A = 140 - 20

Or, 8 A = 120

∴ A = $\frac{120}{8}$

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3 years ago

Casey orders 3 pizzas and 2 orders of breadsticks for a total of $29.50. Rachel orders 2 pizzas and 3 orders of breadsticks for

saveliy_v [14]

The cost of one pizza is $8.5

Step-by-step explanation:

Let,

Cost of one pizza = x

Cost of one bread stick = y

According to given statement;

3x+2y=29.50 Eqn 1

2x+3y=23 Eqn 2

Multiplying Eqn 1 by 2

$2(3x+2y=29.50)\\6x+4y=59\ \ \ Eqn\ 3$

Multiplying Eqn 2 by 3

$3(2x+3y=23)\\6x+9y=69\ \ \ Eqn\ 4$

Subtracting Eqn 3 from Eqn 4

$(6x+9y)-(6x+4y)=69-59\\6x+9y-6x-4y=10\\5y=10$

Dividing both sides by 5

$\frac{5y}{5}=\frac{10}{5}\\y=2$

Putting y=2 in Eqn 1

$3x+2(2)=29.50\\3x+4=29.50\\3x=29.50-4\\3x=25.5$

Dividing both sides by 3

$\frac{3x}{3}=\frac{25.5}{3}\\x=8.5$

The cost of one pizza is $8.5

Keywords: linear equation, elimination method

Learn more about elimination method at:

#LearnwithBrainly

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