MATHEMATICS HIGH SCHOOL

Find the value of x when (x+12) 110

Answers

Answer 1
Answer:

(x+12)=110

Subtract 12 from both sides.

x=110−12

Subtract 12 from 110 to get 98.

x=98
Answer 2
Answer: If (x+12) = 110

You would isolate the variable by subtracting 12

(x+12) -12 = 110 -12

Simplify

x = 98

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The ice skating rink charges an hourly fee for skating and $3 to rent skates for the day. Gillian rented skates and skated for 3 hours and was charged $21. Which equation represents the cost, c(x), of ice skating as a function of x, the number of hours of skating?

Answers

Answer:

The equation represents the cost, c(x), of ice skating as a function of x is c(x)=6x+3.

Step-by-step explanation:

Consider the provided information.

Let R be the per hour rate of the using the skating rink.

It is provided that $3 is the rent of skates for the day.

If Gillian rented skated and paid $21 after 3 hours of skating, this can be represented as:

21=3R+3

3R=18

R=(18)/(3)=6

Therefore, the hourly fee for skating is $6.

Now, write the equation represents the cost c(x) of the ice skating as a function of x.

Total cost = Number of hours × Hourly fee + Rent skates for the day.

Replace total cost with c(x), Number of hours with x, Hourly fee with 6 and rent skates of the day with 3.

Thus the required equation is:

c(x)=6x+3

Thus, the equation represents the cost, c(x), of ice skating as a function of x is c(x)=6x+3.
c(x) = 6x + 3

$6 per hr..and $3 for the skates

check..
c(x) = 6x + 3
he skated for 3 hrs and was charged $21
c(3) = 6(3) + 3
c(3) = 18 + 3
c(3) = 21
.so it is c(x) = 6x + 3

Write the equation of the line through the points (-3, 9) and (4, 2) in POINT-SLOPE FORM

Answers

Answer:

y-9=-1(x+3)

Step-by-step explanation:

The formula for point slope is y2-y1=m(x2-x1). So, we can use the values of the given points to solve the equation for m, or, the slope. We get an equation with the result of 2-9=m(4+3), which gives us the slope as -1. Now, substitute your xy values back in, to get the equation

Johnny bought 7 stamps for 1.12. how much does each stamp cost

Answers

suppose stamp cost a, then
7a = 1.12
1.12 ÷ 7 = a
a = 0.16
So, each stamp costs 0.16.
>>>0.16<<<
...................

The value of a new 3500 sailboat decreases 10% per year. find its value after 1 year

Answers

After one year, the sailboat has value 3500*((100-10)/100)=3500*.9=$3150.

Which expression is equivalent to2(3g-4)-(8g + 3)?
1) -2g - 1
2) -2g - 5
3) -2g -7
4) -29 - 11

Answers

Answer:

4) -2g - 11

Step-by-step explanation:

2(3g-4)-(8g + 3) =

6g - 8 - 8g - 3 =

- 2g - 11

What are the roots of 12x = 9 + 5x2?

Answers

minus 12x both sides
0=5x^2-12x+9
use quadratic formula
for 0=ax^2+bx+c
x=(-b+/- √(b^2-4ac) )/(2a)

given
5x^2-12x+9
a=5
b=-12
c=9
remember: i=√-1

x=(-(-12)+/- √((-12)^2-4(5)(9)) )/(2(5))
x=(12+/- √(144-180) )/(10)
x=(12+/- √(-36) )/(10)
x=(12+/- (√(-1))(√(36)) )/(10)
x=(12+/- i(√(36)) )/(10)
x=(12+/- 6i )/(10)
x=(6+/- 3i )/(5)

the roots are
x=(6+ 3i )/(5) and (6- 3i )/(5)
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