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nalin [4]
3 years ago
11

There is a stack of logs in the backyard. There are 15 logs in the 1st layer, 14 in the second, 13 in the third, 12 in the fourt

h, and so on with the last layer having one log. How many logs are in the stack?​
Mathematics
1 answer:
Cerrena [4.2K]3 years ago
4 0

I think the answer is 54.

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Write the linear function for the given function values.<br> f(-2)=9 and f(6)=7
BigorU [14]

Answer:

y = -\frac14x + 8.5

Step-by-step explanation:

Hello!

A linear function is written in the form of y = mx + b, where m is the slope and b is the y-intercept.

Each of these expressions can be converted to coordinate form, (-2,9) and (6,7).

<h2>Slope</h2>

Slope can be calculated by the difference in the x-values divided by the difference in the y-values.

Solve

  • \frac{9 - 6}{-2 - 6}
  • \frac{2}{-8}
  • -\frac14

The slope is -1/4.

<h2 /><h2>Y-intercept</h2>

The y-intercept is found by plugging in the x and y values of a coordinate and the slope and then solving for b.

Solve

  • y = mx + b
  • 9 = -\frac14(-2) + b
  • 9 = 0.5 + b
  • 8.5 = b

<h2>Equation</h2>

We can find the equation by simply plugging in all the values that we found.

Equation: y = -\frac14x + 8.5

6 0
2 years ago
Describe and correct the error a student made in finding the midpoint cd with c(-4,5) and d(-1,-4).
Gnesinka [82]

Answer:

Step-by-step explanation:

The formula for finding the midpoint of two coordinates is expressed as;

M(X,Y) = (\frac{x_1+x_2}{2} , \frac{y_1+y_2}{2})

Given the coordinates c(-4,5) and d(-1,-4), x1 = -4, y1 = 5, x2 = -1 and y2 = -4.

For the X coordinate of the midpoint

X = x1+x2/2

X = -4+(-1)/2

X = -4-1/2

X = -5/2

X = -2.5

Similarly for Y:

Y = y1+y2/2

Y = 5+(-4)/2

Y = 5-4/2

Y = 1/2

Y = 0.5

Hence the midpoint coordinate of C(-4,5) and D (-1,-4) is (-2.5, 0.5)

5 0
3 years ago
Louis made 24 quarts of lemonade he divided the lemonade equally between 6 pitchers how many points of lemonade did Louis put in
Mandarinka [93]

Answer: Each pitcher has 4 quarts of lemonade.

Step-by-step explanation:

Louis made 24 quarts of lemonade, and he divided it equally into 6 pitchers.

Then, each pitcher must has a sixt of the total amount of lemonade, this is:

p = (1/6)*24 quarts= (24/6) quarts = 4 quarts

Each pitcher has 4 quarts of lemonade.

7 0
3 years ago
Read 2 more answers
Oscar has a gift card with a $110 balance. He buys several video games that cost $15 each. After the purchases, his gift card ba
True [87]

Answer: Um... Not quite sure what you're asking, but he bought about 5 games with the gift card.

6 0
3 years ago
Read 2 more answers
With 30l of milk, we can make 8.4kg of
Greeley [361]
To get from 8.4 to 10 in multiplication, we need to multiply 8.4 by 10/8.4

That means that if we multiply 30 by 10/8.4 we get the answer
which is 35,714

The same with the other
8.4 times 100/30 = 28
7 0
2 years ago
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