Rosa and kyle solve problems using blocks of five different colors: white, red, yellow, blue, and purple. all blocks of the same color weigh the same amount. each white block weighs 2 ounces. how much does 1 red block weigh? explain

Please read the answers below

Step-by-step explanation:

1. Let's review the information provided to us to answer the questions correctly:

1 white block weights 2 ounces

6 white blocks = 3 red blocks

1 blue block = 3 white blocks + 4 red blocks

1 yellow block = 4 blue blocks + ? white blocks + ? red blocks

2 purple blocks = 1 white block + 1 red block + 1 blue block + 1 yellow block

2.  How much does 1 red block weight? Explain.

Let's answer this question, this way:

6 white blocks = 3 red blocks

6 * 2 ounces = 3 red blocks

3 red blocks = 12 ounces

1 red block = 12/3 ounces = 4 ounces

3. What is the weight of one blue block?

1 blue block = 3 white blocks + 4 red blocks

1 blue block = 3 * 2 + 4 * 4

1 blue block = 6 + 16

1 blue block = 22 ounces

4. To balance one yellow block, it takes 4 blue blocks, and some white and red blocks. The number of white blocks is 3.5 times the number of blue blocks. The number of red blocks is 1.25 times the number of blue blocks.

White blocks = 3.5 * 4 = 14

Red blocks = 1.25 * 4 = 5

Yellow block = 4 blue blocks + 14 white blocks + 5 red blocks

Yellow block = 4 * 22 + 14 * 2 + 5 * 4

Yellow block = 88 + 28 + 20 = 136 ounces

5. What is the weight of one purple block?

2 purple blocks = 1 white block + 1 red block + 1 blue block + 1 yellow block

2 purple blocks = 2 + 4 + 22 + 136

2 purple blocks = 164 ounces

1 purple block = 164/2 = 82 ounces

6. Rosa challenges Kyle to balance a purple block by using only one other color of block. Which color block should Kyle choose? Explain.

Actually there are two options:

A. 1 purple block = 41 white blocks

82 ounces = 41 * 2 ounces

82 ounces = 82 ounces

B. 2 purple blocks = 41 red blocks

2 * 82 = 41 * 4

164 ounces = 164 ounces

12*c

step-by-step explanation:

part a: triangles gcb and epb

part b. sides cg and rp are parallel by definition of parallelogram.

angles cgb and e are congruent by being alternate interior angles of parallel lines cut by a transversal. angles gbc and ebp are congruent because they are vertical angles. by aa similarity, the triangles are similar.

part c. since the triangles are similar, the ratios of the lengths of corresponding sides are equal.

calculation of be:

gb/be = cb/bp

(400 ft)/be = 300/200

(400 ft)/be = 3/2

3be = 2 * 400 ft

3be = 800 ft

be = 800/3 ft

calculation of pe:

gc/pe = cb/bp

(350 ft)/pe = 300/200

(350 ft)/pe = 3/2

3pe = 2 * 350 ft

3pe = 700 ft

pe = 700/3 ft