Jason purchased three different sizes of candy at the store. The medium candy was twice as expensive as the small candy. The large
candy was $5 more than the medium candy. He spent a total of $30 on
candy. Write and solve an equation to determine the cost of the small
candy.

$5

Step-by-step explanation:

Let the small candy be represented by x.

The medium candy was twice as expensive as the small candy. This will be: = 2×x = 2x

The large candy was $5 more than the medium candy. This will be: = 2x + 5

Since Jason spent a total of $30 on

candy, the cost of the small candy will be:

x + 2x + 2x + 5 = 30

5x + 5 = 30

5x = 30 - 5

5x = 25

x = 25/5

x= 5

The small candy cost $5

hope it

step-by-step explanation:

x^(1/6) · x^(1/6) · x^(1/6)   ·x^(1/6) = x^(4/6)   since we add the exponents

4/6 can be simplified to 2/3

the simplified form is x^(2/3)

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°