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3 years ago

Solve for x: (X + 16) / 3 = 3x

Mathematics

1 answer:

Anettt [7]3 years ago

4 0

Answer:

x=2

Step-by-step explanation:

multiply both sides by 3

move terms

collect like terms

divide both sides by -8

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I need help with this ASAP and can you explain so i can understand?!

Elanso [62]

Answer:

Adult tickets sold = 225

Student Tickets sold = 375

Step-by-step explanation:

Let:

Adult tickets sold = x

Student Tickets sold = y

Total tickets sold = 600

So, we can write: x+y = 600

Total money collected = 3037.50

Cost of 1 Adult ticket = $6.00

Cost of one Student ticket = $4.50

So, we can write: 6x+4.5y=3037.50

Now, we get a system of equations, that if solved we can find values of x and y

Let:

$x+y = 600--eq(1)\\6x+4.5y=3037.50--eq(2)$

We can solve using substitution method.

Finding value of x from eq(1) and putting it in eq(2)

$We\:have\\x+y=600\\x=600-y$

Put in eq(2)

$6x+4.5y=3037.50\\6(600-y)+4.5y=3037.50\\3600-6y+4.5y=3037.50\\-1.5y=3037.50-3600\\-1.5y=-562.5\\y=\frac{-562.5}{-1.5}\\y=375$

So, we get value of y = 375

Now put value of y in eq(1) to find value of x

$x+y=600\\Put\:y=375\\x+375=600\\x=600-375\\x=225$

So, we get value of x = 225

The Tickets sold will be:

Adult tickets sold = x = 225

Student Tickets sold = y = 375

3 0

2 years ago

Read 2 more answers

Darren and barb each tried to evaluate 6(2) + 4 ÷ 2 who elaluated the expression correctly?

arlik [135]

Answer:

Step-by-step explanation:

6(2)

4÷2

12+2

pemdas

7 0

3 years ago

Read 2 more answers

Both circle A and circle B have a central angle measuring 140°. The ratio of the radius of circle A to the radius of circle B is

beks73 [17]

Let
rA--------> radius of the circle A
rB-------> radius of the circle B
LA------> the length of the intercepted arc for circle A
LB------> the length of the intercepted arc for circle B

we have that
rA/rB=2/3--------> rB/rA=3/2
LA=(3/4)π

we know that
if Both circle A and circle B have a central angle , the ratio of the radius of circle A to the radius of circle B is equals to the ratio of the length of circle A to the length of circle B
rA/rB=LA/LB--------> LB=LA*rB/rA-----> [(3/4)π*3/2]----> 9/8π

the answer is
the length of the intercepted arc for circle B is 9/8π

3 0

3 years ago

I wil give brainleiat

AlladinOne [14]

Answer:

a) 300 + 80h = x

b) $780

Step-by-step explanation:

So, the original cost is $300, plus an additional $80 times the number of hours rented.

h will represent the number of hours rented

x will represent our total cost (use whatever variable your teacher expects :))

300 + 80h = x

This is our equation. Now, we want to find the cost for 6 hours. Substitute 6 in for h.

300 + 80(6) = x Solve for x.

300 + 480 = x

780 = x This means the total cost for 6 hours will be $780.

Hope this helps :)

NOTE: I noticed in part a, it referred to a "dunking booth". I solved this problem as if that was a typo and they were referring to the jumper.

3 0

2 years ago

Evaluate the expression 34 ÷ (14 − 5) × 2.

algol13

Answer:

$7\frac{5}{9}$

Step-by-step explanation:

Hi there!

We are given this expression:

34÷(14-5)×2

And we want to evaluate it

We'll be using the order of operations

Depending on the country you're in, the acronym can be different, but in the US, the typical acronym used for the order of operations is PEMDAS, or Parentheses, Exponents, Multiplication, Division, Addition, Subtraction

The order of operations states that we should start with any expressions in parentheses

In this case, it's (14-5), which is equal to 9

The expression now becomes

34÷9×2

There are no exponents, so let's skip that

Now this is where it gets tricky:

Based on the acronym alone, we should be doing 9*2 next, however, we should always work left to right, even if in a case like this, we'll be doing division instead of multiplication

Divide 34 by 9

$\frac{34}{9}$ ×2

Now multiply $\frac{34}{9}$ by 2

$\frac{68}{9}$

(as a mixed fraction, it's 7 $\frac{5}{9}$ )

Hope this helps!

4 0

2 years ago