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UkoKoshka [18]
2 years ago
6

The sum of two consecutive integers is 85. What are those two integers?

Mathematics
1 answer:
chubhunter [2.5K]2 years ago
7 0

Answer:

41 and 42

Step-by-step explanation:

Let the integers be x and x + 1

=> x + x + 1 = 85

=> 2x + 1 = 85

=> 2x = 84

=> x = 84/2

=> x = 41

Integers are :

41 and 42

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3 (x -1) = 5x +3 -2x
Vika [28.1K]

Steps to solve:

3(x - 1) = 5x + 3 - 2x

~Distribute left side

3x - 3 = 5x + 3 - 2x

~Combine like terms

3x - 3 = 3x - 3

~Subtract 3x to both sides

-3 = -3

~Add 3 to both sides

0 = 0

All real numbers are solutions.

Best of Luck!

6 0
3 years ago
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Step-by-step explanation:

3 0
3 years ago
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
Which type of transformation is the only one of the four that is not a rigid motion and other words which type of transformation
alisha [4.7K]

Step-by-step explanation:

Dilation changes the size of the shape and is not a rigid motion.

8 0
3 years ago
Read 2 more answers
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