Use the five-step strategy for solving word problems to find the number or numbers described in the following exercise: when four times the number is added to 7 times the number, the result is 44. what is the number?

Let the unknown number be 'x'.

Since, four times the number is added to 7 times the number, the result is 44.

Four times the number = 4x

Seven times the number = 7x

The sum of these numbers is 44.

So, 4x + 7x = 44

11x = 44

x = 4

Hence, the number is 4.

chad should not have included the values (1, 2) and (3, 6) because that would mean he only had half a healing card.

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°