Lisa is weighing combinations of children's blocks. four blue blocks and five red blocks weigh 32 ounces. one blue block and eight red blocks weigh 35 ounces. what is the combined weight of one red block and one blue block?

following are calculations of the weight:

Given:

blue =4

red= 5

total weight= 32

and

blue =1

red= 8

total weight= 35

To find:

weight of 1 red and 1 blue=?

Solution:

blue =4

red= 5

total weight= 32

So equation:

similarly

blue =1

red= 8

total weight= 35

So equation:

Solving the equation (b) and putting its value into equation (a):

putting the value into equation (a):

Putting the value of r in the equation (a):

Following are the calculation of the weight of

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step-by-step explanation:

since the sequence is geometric there is a common ratio r between consecutive terms, that is

r = 4 ÷ - 2 = - 2

r = - 8 ÷ 4 = - 2

r = 16 ÷ 8 = - 2

the next term - 13 must be incorrect as it should be - 32 for the sequence to be geometric.

the first 4 terms are therefore geometric with common ratio r = - 2

the answer is b.

step-by-step explanation:

by the trigonometric ratio tangent, tangent equals opposite divided by adjacent.

therefore, tan(50) equals ac/3

multiply each side by 3 to get: ac=3tan(50)

the answer is b.