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Greeley [361]
3 years ago
7

Serena’s mom is planning her birthday party. She bought balloons, plates, and cups. Serena’s mom bought twice as many plates as

cups. The number of balloons Serena’s mom bought was half the number of cups.
a. If Serena’s mom bought 84 items, how many of each item did she buy?
b. Tammy brought 12 balloons to the party. How many total balloons were at Serena’s birthday party?
c. If half the plates and all but four cups were used during the party, how many plates and cups were used?
Mathematics
1 answer:
Murljashka [212]3 years ago
8 0

Answer:

a. There were 24 cups, 48 plates, 12 balloons

b. 24 balloons were at the party.

c. 24 plates and 20 cups were used

Step-by-step explanation:

We need to identify first the number of cups so that we can double the quantity for plates and divide the number to get the balloon number.

So if we have 24 cups and we double it we have 48 plates and if we divide in half to get the balloon number we get 12 balloons, which in total is 84.

Then we just need tu add the 12 balloons Tammy brought to have 24 balloons, and at the end to obtain how many plates and cups were used we just need to subtract the items left to the items bought so we get half plates from 48 is 24 plates and 24 cups minus 4 cups left we have 20 cups used in the party.

The important number that we firstly need to calculate is the one that need to be multiply or divided in order to obtain all the results.

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Which of the following represents the prime factortzation of 72?
rjkz [21]

Answer:

2³ x 3²

Step-by-step explanation:

The prime factorization of a number is the process of breaking down a number to a set of prime numbers that their product will give the original number:

          72

      2   x    36

      2 x 2 x 18

      2 x 2 x 2 x 9

       2 x 2  x 2 x 3 x 3

So;

  The prime factorization is 2³ x 3²

8 0
3 years ago
Can you please do 2 and 3
Masja [62]

Answers:

<h2>2. 17.5</h2><h2>3a. 6</h2><h2>3b. greater</h2><h2>3c. add 1 to it</h2>

Step-by-step explanation:

When rounding, look at the digit that is ls to the right beside the digit in the place value to round to. If the number is greater than or equal to 5, round the digit in the place value to round to up one. If it is less than 5, do not. Let's look at some examples.

EXAMPLE 1:

23.123 round to the nearest tenth.

23.<u>1</u>23 tenths place is underlined

Digit after tenths is bold. If greater than or equal to 5, round underlined digit up. If less than 5, don't change underlined digit.

The bold number is a 2, which is less than 5, so the underlined number doesn't change.

ANSWER TO EXAMPLE 1: 23.1

EXAMPLE 2:

57.54 round to the nearest whole number

5<u>7</u>.54 Nearest whole place value is underlined

Digit after underlined digit is bold. If greater than or equal to 5, round underlined digit up one. If bold digit is less than 5, don't change the underlined digit.

The bold number is a 5, which equals 5, so the underlined number increases by 1.

ANSWER TO EXAMPLE 2: 58

Now, let's examine yours, now that we know how to round

17.46 round to the nearest tenth

17.<u>4</u>6 tenths place is underlined

Digit after tenths is bold. If greater than or equal to 5, round underlined digit up by one. If bold digit is less than 5, don't change the underlined digit.

The bold number is a 6, which is greater than 5, so the underlined number increases by 1.

ANSWER TO QUESTION: 17.5

Hope this helped :)

<em>PLEASE MARK BRAINLIEST</em>

8 0
3 years ago
Greatest common factor for 17 and 42
Musya8 [376]
Since 17 isnt a factor of 42 the only factor is 1
5 0
3 years ago
5. Guests are given a random goodie bag at a party. There are less than 15 bags, but more than 8. Part A: How many bags were pre
Artemon [7]

Answer:

  • 12 bags

Step-by-step explanation:

Number of the bags = between 8 and 15  and

  • 1/2 of bags contain money
  • 1/6 of bags contain candy
  • 1/3 of bags contain a toy

As per above the number is divisible by 2, 3 and 6. LCM of the three numbers is 6.

<u> The number between 8 and 15 and divisible by 6:</u>

  • This number is 6*2 = 12

So the number of bags is 12

4 0
3 years ago
If c=25 and B=75 degrees, find a. Round to the nearest tenth.
worty [1.4K]

Answer:

a=6.9

Step-by-step explanation:

Since you know that C is a right angle, you can use the Law of Sines to find a. The first step is to find the size of the angle A, which is 180-74-90=16. Now, you set up a ratio that involves 3 knowns and one unknown to get \frac{\sin(90^\circ)}{25} = \frac{\sin(16^\circ)}{a}, which after cross multiplying yields a=\sin(16^\circ)\cdot25\approx 6.9. PM me if you have any questions?

5 0
3 years ago
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