Together a boogie board, surfboard, and wetsuit cost $1,312. The surfboard cost six times the boogie board, and the wetsuit is $300 less than the surfboard. How much does the boogie board cost? How much the surfboard cost? Hint, let x = cost of the boogie board. In box one, write the simplified equation you would use to solve this problem
In box two, the boogie board cost
In box three, the surfboard cost
Im ox four, the wetsuit cost

See explanation

Step-by-step explanation:

Let the cost of the boogie board be represented by x.

The surfboard cost six times the boogie board. Therefore, surfboard =6x

The wetsuit is $300 less than the surfboard. This means wetsuit = 6x - 300

Together a boogie board, surfboard, and wetsuit cost $1,312. Therefore,

x + 6x + 6x - 300 = 1312

13x = 1312 + 300

13x = 1612

x= 1612 / 13

x = 124

Boogie board cost $124

Surfboard = 6x

= 6 × $124

= $744

Wetsuit = 6x - 300

= $744 - $300

= $444

m∠cdf = 43° , m∠gdf = 114°, m∠gde = 23°, m∠edh = 23° , m∠cdh = 157°

step-by-step explanation:

since, it is given that de bisects the angle gdh ⇒ de divides the angle gdh into two equal angles.

⇒ m∠gde = m∠edh

⇒ 8·x   - 1 = 6·x + 5

⇒ x = 3

so, m∠gde = 8·x - 1 = 23°

and m∠edh = 23°

now, it is given ∠cde is an straight angle so, m∠cde = 180°

⇒ m∠cdf + m∠fdg + m∠gde = 180°

⇒ 43° + m∠fdg + 23° = 180°

⇒ m∠fdg = 114°

again, m∠cde = m∠cdh + m∠edh = 180°

m∠cdh + 23° = 180°

⇒ m∠cdh = 157°

a

step-by-step explanation:

when a number is between two straight lines it means the absolute value.

to find absolute value you need to know how many numbers is that number away from 0.

when finding absolute value the number will always come out positive

so absolute value of -3 is 3

absolute value of 3/2 is 3/2

absolute value of -2 is 2

absolute value of 3.5 is 3.5

absolute value of -1 is 1

now put these numbers in order:

a)   |-1|, |3/2|, |-2|, |-3|, |3.5|