MATHEMATICS HIGH SCHOOL

The ratio of males to females ata party is 3:5. There are twelve more females than males. How
many people are at the party?

Answers

Answer 1

Answer:

Answer:

48 people is the right answer.

Step-by-step explanation:

Let the number of male and female be 3x and 5x

There are twelve more females than males

According to the above problem,

$5x - 3x=12\n 2x = 12\n x = (12)/(2) \n \boxed{x = 6}$

Therefore, the numbers of male is

$3x = 3 * 6 = 18$

and number of female is

$5x = 5 * 6 = 30$

Hence, total number of people are

$(30 + 18) = 48$

There are 48 people in the party.

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5. Is the sequence arithmetic? If so, identify the common difference. 14, 21, 42, 77, ...

yes; 7
yes; –7
yes; 14
no
6. What is the 12th term of the sequence 10, 6, 2, …?
–16
–24
–34
–38
7. Find the missing term of the arithmetic sequence 22, ___ , 34, ...
46
16
28
40

Answers

5.
aritmetic is same increase per term
14 to 21 is 7
21 to 42 is 21
7≠21
no

6.
decreases by 4 each time
an=a1+d(n-1)
an=10-4(n-1)
n=12 for 12th term
a12=10-4(12-1)
a12=10-4(11)
a12=10-44
a12=-34

it is -34

7.
missing term is y
22+n=y
y+n=34
22+n+n=34
22+2n=34
minus 22 from both sides
2n=12
divide both sides by 2
n=6
22+n=y
22+6=y
28=y

28 is answer

5. no
6. -34
7. 28

Answer:

5. The correct option is 4. No, the given sequence is not arithmetic.

6.The option 3 is correct and the 12th term of the sequence is -34.

7. The option 3 is correct and the missing term of the arithmetic sequence is 28.

Step-by-step explanation:

The given sequence is

$14,21,42,77$

$d_1=a_2-a_1=21-14=7$

$d_2=a_3-a_2=42-21=21$

Since $d_1\neq d_2$ , therefore it is not an arithmetic sequence. Option 4 is correct.

The given sequence is

$10,6,2,...$

First term is 10 and common difference is -4.

The formula for nth term is

$a_n=a+(n-1)d$

$a_(12)=10+({12}-1)(-4)=10-44=-34$

Therefore option 3 is correct and the 12th term of the sequence is -34.

The given sequence is

22, ___ , 34, ...

In an arithmetic sequence

$2b=a+c$

$2b=22+34$

$2b=56$

$b=28$

Therefore option 3 is correct and the missing term of the arithmetic sequence is 28.

Hurry! You work at a campus book store and a customer needs a textbook that you do not have in stock. You can order the textbook from Campus Corner for $129.95, prior to a rebate of $9.00. Books R Us sells the same textbook for $145.00, prior to a discount of 15%. What is the percent difference in the final cost of the two items?

O 0.018%

O 0.019%

O 1.87%

O 1.90%

O 2.10%

Answers

Answer:

.187

Step-by-step explanation:

3 over 5 (r-7) =1
Enter your answer as a mixed number in simplest form in the box

Answers

Answer:

r = 8

Step-by-step explanation:

you start by distributing the 5 to r and -7 to get 3 over 5r - 37. You can then multiply both sides by 5r-37 to get 3 = 5r-37. From here you can add 37 to both sides to get 40 = 5r. From there you divide both sides by 5 to get r = 8

Answer:

r= 8

Step-by-step explanation:

Frank needs to fill juice cups for his little sister's birthday party. There are 35 juice cups and each juice cup holds 12 fluid ounces. The juice comes in 1-gallon bottles. How many 1-gallon bottles of juice will Frank need to purchase?(1 quart = 32 fluid ounces, 1 gallon = 4 quarts)
A: 1 Bottle
B: 2 Bottles
C: 3 Bottles
D: 4 Bottles

Answers

128 oz. in one gallon. 35 cups of 12 oz. equals 420 oz. 420 divided by 128 equals 3.28 so youll need 4 bottles. D.

What is 34/51 in its simplest form

Answers

2/3
divide by 17

34/17 is 2
51/17 is 3

Which function could be represented by the graph on the coordinate plane?

Answers

Since no function can be seen in this question, it may describe overall -the slope. The slope is the direction and magnitude of a relationship in the given graph. It introduces the relationship between two variables and is called correlation. Proportionality or variation is state of relationship or correlation between two variables It has two types: direct variation or proportion which states both variables are positively correlation. It is when both the variables increase or decrease together. On the contrary, indirect variation or proportion indicates negative relationship or correlation.

Answer:

Step-by-step explanation:

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