In a bowl of fruit there are green grapes and black grapes in the ratio 3: 4 if there are 24 green grapes how many black grapes are there

32 black grapes are there.

Step-by-step explanation:

Let the number be x.

As per the statement:

In a bowl of fruit there are green grapes and black grapes in the ratio 3:4

⇒Number of green grapes in bowl = 3x and

Number of black grapes in bowl = 4x

It is also given that if there are 24 green grapes.

⇒ 3x = 24

Divide both sides by 3 we have;

Number of black grapes are there in bowl = 4x =4(8) = 32

Therefore, 32 black grapes are there.

henry ordered 5 large pizzas

step-by-step explanation:

sorry no step by step

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°