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ExtremeBDS [4]
3 years ago
14

6. If it is Tuesday, then Marla tutors chemistry. If Marla tutors chemistry, then she arrives home at 4 P.M.

Mathematics
1 answer:
kkurt [141]3 years ago
4 0
What are you exactly asking here?
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A set of kitchen containers can be stacked to save space. The height of the stack is given by the expression LaTeX: 1.5c+7.61.5
Nuetrik [128]

Answer:

Part A

The height of the stack made of 8 containers is 19.6 cm

Part B

When the tower is 40.6 cm tall, the number of containers in the set are 22 containers

Part C

(Disagree) The height of a single container is 9.1

Step-by-step explanation:

The question relates to containers, stacked one inside the other such that the height increases by only the wider top edge of the containers

The given expression that gives the height of the stack is presented as follows;

1.5·c + 7.6

Where;

c = The number of containers in the stack

Part A

When there are 8 containers, we have;

h(8) = 1.5 × 8 + 7.6 = 19.6

The height of the stack made of 8 containers, h(8) = 19.6 cm

Part B

When the tower (height of the stack set) is 40.6 cm tall, we have;

h(c) = 1.5·c + 7.6 = 40.6

∴ The number of containers, c = (40.6 - 7.6)/1.5 = 22

When the tower is 40.6 cm tall, the number of containers in the set, c = 22 containers

Part C

Given that the height stack increases only by the thickness of the wider rim of each added container, we have;

The expression for the height of the stack , 1.5·c + 7.6, is the expression for a straight line equation, m·x + c

The thickness of each rim = The slope, of the line, m = The increase in height with number of containers = 1.5

The number of containers (The independent variable, x) = The number of stacked rims = c

The minimum height = The height of a single container = 1.5 × 1 + 7.6 = 9.1

Therefore, the height of a single container = 9.1 not 7.6

4 0
2 years ago
Evaluate 4a-3b when a=5 and b=-2
den301095 [7]
4a - 3b

4(5) - 3(- 2)
20 + 6
26

26 is your answer. 
6 0
3 years ago
Read 2 more answers
A bag contains 6 red balls 8 yellow ones and 4 black ones if a ball is randomly selected find the probability of it being neithe
Natali [406]

Answer:

1/3

(given answers in Question are unreadable)

Step-by-step explanation:

We search for red balls (neither yellow or black). There are 6 red balls among all 18 balls. Selecting one ball, there is a chance 6/18 that we pull out a red one. 6/18 is the same as 1/3.

3 0
3 years ago
Is the measure of Z1 equal to the measure of Z2?<br> Why?
VMariaS [17]

Answer:

Angles with the same measure are congruent, so Z1 = Z2.

Step-by-step explanation:

5 0
3 years ago
Simplify 3^1/2 * 3^1/2. Show work
Nadusha1986 [10]
First do 3x3, which is 6.
Then do 1/2 x 1/2. Convert the 1/2's to .50's
Do .50 x .50. Start with 5 x 5, and get 25. Then move decimal 2 places over.
Now that you have 6 and .25, add them and get 6.25.
.25 as a fraction is, of course, 1/4
Your final answer should be 6 1/4
3 0
3 years ago
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