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MariettaO [177]
3 years ago
7

There were 24 cookies in the first batch and an unknown number of cookies in the second batch. If each student in a class of 22

students was given a cookie and there are 27 cookies left, how many cookies were in the second batch?
Mathematics
2 answers:
mylen [45]3 years ago
7 0
Okay, so the total cookies is given by 22 cookies (the ones given to the students) plus 27 cookies (the ones left over) Therefore there were 49 cookies in total. Subtract the 24 cookies from the first batch, and you have 25 cookies remaining, which is the total from the second batch. 

25 cookies.
Dafna11 [192]3 years ago
7 0
24 cookies in the first batch
Unknown in the second, let's call it "x".
The total amount of cookies is the amount of cookies eaten by students (22) as well as the amount left (27).
We can set these equivalent to one another:
24+x=22+27
24+x=49
subtract 24 from both sides
24+x=49
-24     -24
x=25
So, there were 25 cookies in the second batch.
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Find the value of x.
earnstyle [38]

Answer:

110 degrees

Step-by-step explanation:

The sum of all the interior angles of a polygon is always equal to 180(n-2) where n is the number of sides. In this figure, there are 7 sides. This means that the sum of all the interior angles is 180(7-2) = 180 * 5 = 900.

Now, add up all the angles that you know and subtract that from 900 to find the value of x.

900 - (105 + 150 + 140 + 135 + 125 + 135) = 900 - 790 = 110 degrees

7 0
3 years ago
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Does the following infinite series converge or diverge? 1/3+2/9+4/27+8/81
Norma-Jean [14]

Answer:

converge

Step-by-step explanation:

The ratio that you multiply by to get the next term is 2/3, which is less than 1, so the geometric series converges by the Geometric Series Test.

8 0
2 years ago
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Rob is saving to buy a new MP3 player. For every $11 he earns babysitting, he saves $6. On Saturday, Rob earned $44 babysitting.
Anon25 [30]

Answer:

Rob saved $24 on Saturday.

Step-by-step explanation:

Given:

Rob is saving to buy a new MP3 player.

Money earned in baby sitting = $11

Money saved =$6

First we will find the Percentage of amount he saved.

Percentage of amount he saved can calculated by Amount saved divided by total money earned and then multiplying by 100.

framing in equation form we get;

Percentage of amount he saved = \frac{6}{11} \times 100 \approx 54.55\%

Now Given:

Money earned in babysitting on Saturday = $44

We need to find the Money he saved on Saturday.

Money Saved can be calculated by Percentage of amount he saved multiplying by Money earned in babysitting on Saturday and then divided by 100.

framing in equation form we get;

Money Saved on Saturday = \frac{54.55}{100}\times 44 = \$24

Hence Rob saved $24 on Saturday.

8 0
3 years ago
Find all the square roots of x2 ≡ 53 (mod 77)
Nikolay [14]

Answer:

x=\pm\sqrt{77n+53}

Step-by-step explanation:

We have been given an equivalence equation x^2\equiv 53\text{ (mod } 77). We are asked to find all the square root of the given equivalence equation.

Upon converting our given equivalence equation into an equation, we will get:

x^2-53=77n

Add 53 on both sides:

x^2-53+53=77n+53

x^2=77n+53

Take square root of both sides:

x=\pm\sqrt{77n+53}

Therefore, the square root for our given equation would be x=\pm\sqrt{77n+53}.

3 0
3 years ago
mr. larsen's third grade class has 22 students, 12 girls and 10 boys. two students must be selected at random to be in the fall
faust18 [17]

The probability that no boys will be chosen is 0.2857

What is probability?

The area of arithmetic called likelihood deals with numerical representations of the chance that an incident can occur or that a press release is true.

Main Body:

Total students =22

total boys = 10

total girls =12

Now we have to chose 2 girls from 12 , so combination is used to select ,

⇒¹²C₂

Also, We have to chose 2 girls from 22 students

so it can be represented as ,

⇒²²C₂

Probability of choosing 2 girls = ¹²C₂/²²C₂

On solving this we will get = 0.2857

Hence the probability is 0.2857

To know more about probability , visit;

brainly.com/question/13604758

#SPJ4

5 0
1 year ago
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