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Chapter 1: Q. 1.54 (page 24)

Solve each of the following for z: (1.4)

a. 3z--6=12

b.4z-12=-8

Short Answer

Expert verified

a. The value ofzis2.

b. The value ofzis24.

Step by step solution

01

Part (a) step 1: Given Information

We need to find the value of zfrom equation3z--6=12.

02

Part (a) step 2: Calculation

Consider:

3z--6=12

Now, finding the value of z:

3z--6=123z+6=123z=12-63z=6z=63z=2

03

Part (b) step 1: Given Information

We need to find the value ofzfrom equation4z-12=-8.

04

Part (b) step 2: Calculation

Finding the value of z:

so,

4z-12=-84z=-8×-124z=96z=964z=24

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Most popular questions from this chapter

Identify each of the following as an observation, a hypothesis, an experiment, or a conclusion:1.2

a. Every spring, you have congestion and a runny nose.

b. An overweight patient decides to exercise more to lose weight

c. Many research studies have linked obesity to heart disease.

a. At a local hospital, 35babies were born. If 22were boys, what percentage of the newborns were boys? Express your answer to the one's place.

b. An alloy contains 67gpure gold and 35gpure zinc. What is the percentage of zinc in the alloy? Express your answer to the one's place.

c. A collection of coins contains 15 pennies, 14dimes, and 6 quarters. What is the percentage of pennies in the collection? Express your answer to the one's place.

Identify each activity, a to f, as an observation, a hypothesis, an experiment, or a conclusion. Lucia wants to develop a process for dyeing shirts so that the color will not fade when the shirt is washed. She proceeds with the following activities:

a. Lucia notices that the dye in a design fades when the shirt is washed.

b. Lucia decides that the dye needs something to help it combine with the fabric.

c. She places a spot of dye on each of the four shirts and then places each one separately in water, saltwater, vinegar, and baking soda and water. d. After one hour, all the shirts are removed and washed with a detergent.

e. Lucia notices that the dye has faded on the shirts in water, saltwater, and baking soda, whereas the dye did not fade on the shirt soaked in vinegar.

f. Lucia thinks that the vinegar binds with the dye so it does

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Solve each of the following for a:

a. 4a+4=40.

b.a6=7.

Whichnumberineachofthefollowingpairsissmaller?

a.4.9×10-3or5.5×10-9

b.1250or3.4×102

c.0.0000004or5.0×102

d.2.50×102or4×105
See all solutions

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