In a tin of baked beans, weight of beans : weight of tomatoes : weight of other ingredients = 6: 3: 1 was there are 150 g of tomatoes in the tin work out the weight of the beans

Step-by-step

When dealing with ratios, we can multiply or divide at will (but not add or subtract).  The present question gives a good example:

Given:

Tomatoes = 150 g.

Beans : tomatoes : others  =  6:3:1

Solution:

We note that there are 150g of tomatoes, and the ratio of tomatoes is 3.

We can therefore multiply the ratio by 150/3 = 50 to get the true weight of all ingredients (as long as tomatoes correspond to the true weight)

Beans : tomatoes : others

= 6:3:1      [ multiply by 150/3=50]

=300:150:50

So

beans weigh 300 g

tomatoes 150 g

others weight 50 g.

i dont know sorry

step-by-step explanation:

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°