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Vladimir79 [104]
2 years ago
12

Taylor has nickels and dimes. The number of nickels is 7 less then eight times the number of dimes. If d represents the number o

f dimes then the number of nickels can be expressed as what
Mathematics
1 answer:
svp [43]2 years ago
4 0

Answer: 8d-7

Step-by-step explanation:

Given

Taylor has nickels and dimes

Number of nickels is 7 less than eight times the number of dimes

If d is the number of dimes, then number of nickels is given by

\Rightarrow \text{Number of Nickels = }8d-7

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Taylor works at a garden shop that sells flower pots. One kind of flower pot has a rim height of 6 centimeters and a planting he
Tom [10]

Answer:

The simplified algebraic expression to represent the height, h, of a stack in cm of n flower pots is h = 6·n + 22

Step-by-step explanation:

The given information are;

The rim height of one kind of flower pot = 6 cm

The planting height of the flower pot = 22 cm

Therefore, the total height of the flower pot = 22 + 6 = 28 cm

Stacking the flower pots of a single kind will give a linear relationship of the form, y = m·x + c between the height of the stack and the number of flower pots in the stack

Where;

m = The slope or the rate of change of the height with the number of flower pots in a stack which can be found from two points in the given table of values

c = The y-intercept or height at the start of the first stack

From the table of  values, for the first and the last points, we have;

m = (52 - 28)/(5 - 1) = 24/4 = 6

Which gives;

h - 52 = 6×(n - 5)

h = 6·n - 30 + 52 = 6·n + 22

h = 6·n + 22

Where;

h = The height of stack in cm

n = The number of flower pots

Therefore, by comparing to the general form of the equation of a straight line, y = m·x + c, the y-intercept, c = 22

The simplified algebraic expression to represent the height of a stack of n flower pots is therefore given as h = 6·n + 22.

7 0
3 years ago
Graph this line with slope -2/3 and point (4, 2)<br><br> I don't know how to do this yet. Thank you
Alona [7]
Hi! I provided an image that I hope helps!

7 0
3 years ago
Solve the inequality -7x &gt; 21. What is the graph of the solution?
sdas [7]
<h2>Inequality</h2><h3>-7x > 21</h3>

<em>Divide both sides by −7. Since −7 is <0, the inequality direction is changed.</em>

<h3>x< 21/-7</h3>

<em>Divide 21 by −7 to get −3. </em>

<h3>x < −3</h3>

<em>The image is blurred, so options "A" and "B" are very similar, it may be a mistake. But you can check which one is correct.</em>

<em />

<h2>[See attached image]      </h2>

8 0
1 year ago
find the value of y if the line through the two given points is to have the indicated slope. (-3,y) and (-11,8), m = -2
o-na [289]

=  \frac{y - y_{2}}{x - x _{2}}  \\   - 2 =  \frac{y - ( - 11)}{ - 3 - 8}  \\  - 2 =  \frac{y + 11}{ - 11}  \\  - 2 + 1 = y \\ y =  - 1
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3 years ago
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Solve for z. z+17 = 38
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The answer is 21 because if you subtract 17 from 17 and 38 you get 21. Z=21.

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