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3 years ago

Which of the following is the algebraic expression represented by the verbal expression below?

Mathematics

1 answer:

Alchen [17]3 years ago

6 0

Answer:

C. 3a + 6

Step-by-step explanation:

The expression that describes the verbal expression is 3a + 6.

Now let us approach this step wisely;

Triple quantity a = 3a

Increased by 6 = + 6 , an increment is addition to a term.

So, the full algebraic expression is 3a + 6

The solution is 3a + 6. Word problems like this should be approached step wisely.

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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

3 years ago

Explain how you would solve 16/c=8. Then solve the equation

Hoochie [10]

$\frac{16}{c} = 8$

16 = c8

c = $\frac{16}{8}$

c = 2

hope this helps!

7 0

3 years ago

What is the answer for this

KonstantinChe [14]

Answer: $y=\frac{1}{30}x+1$

Step-by-step explanation:

The equation of the line in Slope-Intercept form is:

$y=mx+b$

Where "m" is the slope and "b" is the y-intercept.

You need to find slope of the line with the formula:

$m=\frac{y_2-y_1}{x_2-x_1}$

Pick to points of the given line. You can choose the point (60,3) and the point (30,2).

Then, substituting into the formula:

$m=\frac{2-3}{30-60}=\frac{1}{30}$

You can observe in the graph that the line intercepts the y-axis at the point (0,1), therefore "b" is:

$b=1$

Substituting the slope and the y-intercept found into $y=mx+b$ , you get the equation of this line:

$y=\frac{1}{30}x+1$

Where "y" represents the Height (1,000 ft) and "x" represents the Time in seconds.

3 0

3 years ago

Solve for all values of x by factoring. x^2-5x=-2x

-Dominant- [34]

Answer:

x = 0

x = 3

Step-by-step explanation:

$x^2 - 5x = -2x\\x^2 - 5x + 2x = 0\\x^2 - 3x = 0\\x(x - 3) = 0\\x=0 , x-3=0\\x=0, x=3$

4 0

3 years ago

Please help me I would really appreciate it

ElenaW [278]

I don't know bebidas held shield vegeioenebeuvejeidbd. 363783901625

8 0

3 years ago