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otez555 [7]
3 years ago
6

Karim began his day by drinking 1 cups of milk at breakfast. By the end of the day, he drank a total of 2

Mathematics
1 answer:
uranmaximum [27]3 years ago
4 0

Answer:

Equation:

21 = 1 + m

Solution:

20 = m

Step-by-step explanation:

What we know:

  • Karim drank 1 cup of milk at breakfast
  • Karim drank a total of 21 cups of milk
  • m = the amount of milk, in cups, Karim drank after breakfast

We know that Karim drank 21 cups of milk in a day. In an equation, that would look like this:

21 =

What does 21 equal?

The amount of milk Karim drank at breakfast plus the amount of milk Karim drank after breakfast.

21 = milk at breakfast + milk after breakfast

Let's substitute what we know into this equation:

21 = milk at breakfast + milk after breakfast

21 = 1 + m

Now that we have our equation, let's solve.

21 = 1 + m

-1    -1

20 = m

Therefore, Karim drank 20 cups of milk after breakfast.

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5 0
3 years ago
A student wanted to find the sum of all the even numbers from 1 to 100. He said:
murzikaleks [220]

Answer:

The statements are incorrect as: The sum of even numbers from 1 to 100(i.e. 2550) is not double\twice of the sum of odd numbers from 1 to 100(i.e. 2500).

Step-by-step explanation:

We know that sum of an Arithmetic Progression(A.P.) is given by:

where 'n' denotes the "number" of digits whose sum is to be determined, 'a' denotes the first digit of the series and '' denote last digit of the series.

Now the sum of even numbers i.e. 2+4+6+8+....+100 is given by the use of sum of the arithmetic progression since the series is an A.P. with a common difference of 2.

image with explanation

Hence, sum of even numbers from 1 to 100 is 2550.

Also the series of odd numbers is an A.P. with a common difference of 2.

sum of odd numbers from 1 to 100 is given by: 1+3+5+....+99

.

Hence, the sum of all the odd numbers from 1 to 100 is 2500.

Clearly the sum of even numbers from 1 to 100(i.e. 2550) is not double of the sum of odd numbers from 1 to 100(i.e. 2500).

Hence the statement is incorrect.

Step-by-step explanation:

3 0
3 years ago
Identify the x- intercepts of the graphed function.
yarga [219]

The x-intercepts are indeed -1 and 1.

The increasing intervals are listed as (-1, 0) u (1, infinity) not because -1 and 1 are not included points of the function, but because the function is not differentiable in those points, so you can't tell whether the function is increasing or decreasing there.

3 0
3 years ago
Find the x-values that are solutions of the equation 5cot^2x-15=0
julia-pushkina [17]
First solve for the trig function 'cot'
cot^2 x = \frac{15}{5} = 3

Next take the sqrt of both sides (include plus/minus)
cot x = \pm \sqrt{3}

Now take reciprocal of both sides, this will change trig function to 'tan'
(cot = 1/tan)

tan x = \pm \frac{1}{\sqrt{3}} = \pm \frac{\sqrt{3}}{3}

Finally use the unit circle or inverse tan on your calculator to find x.
There will be 4 solutions, one for each quadrant.

x = \frac{\pi}{6}, \frac{5\pi}{6}, \frac{7\pi}{6}, \frac{11\pi}{6}
3 0
3 years ago
there are 13 animals in the barn. some are chickens and some are goats. there are 48 legs in all. how many of each animal are th
romanna [79]

Answer:

Step-by-step explanation:

chickens + goats = 13

so...

c + g = 13, so...

g = (13 - c)

2 legs times the number of chickens (2c) + 4 legs times the number of goats (4g) = 48 total legs. So...

2c + 4(13-c) = 48, so

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-2c = -4, so

2c = 4, so

c = 2.

There are 2 chickens, and therefore 11 goats.

5 0
2 years ago
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