MATHEMATICS HIGH SCHOOL

The first term of an arithmetic sequence is -5, and the tenth term is 13. Find the common difference.8/9
1.8
2

Answers

Answer 1
Answer: 2

Working
The nth term of an arithmetic series is calculated using the formula
nth term= a+ (n-1) d
a= -5, n =10 and nth term in this case is 13
Thus
13= -5 +(10-1)d
13= -5+9d
9d= 18
d = 2
Answer 2
Answer:

Answer:

2

Step-by-step explanation:

Working

The nth term of an arithmetic series is calculated using the formula

nth term= a+ (n-1) d

a= -5, n =10 and nth term in this case is 13

Thus

13= -5 +(10-1)d

13= -5+9d

9d= 18

d = 2

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Simplify the expression. -14 x 8 x 1/4 + (-22) a. –50
b. –138
c. –470
d. –6

Answers

-14 x 8 x 1/4 + (-22)

Apply BODMAS

Open the brackets:
-14 x 8 x 1/4 + (-22) = -14 x 8 x 1/4 -22

Division
-14 x 8 x (1/4) - 22 = -14 x 8 x 0.25 - 22

Multiplication
(-14 x 8 x 0.25 )- 22 = -28 - 22

Subtraction
-28-22 = -50

Correct answer: A <-50>

Is log2+log18 equal to log30+log6

Answers

No,\ is's\ not\ because:\n\nlog2+log18=log(2\cdot18)=log36\n\nand\n\nlog30+log6=log(30\cdot6)=log180\n\nlog36\neq log180
No it's not log2+log18= 1.55, while log30+log6=2.25

An action movie earned $89,200,000. An animated movie earned $92,400,000. Round each money amount to the nearest hundred million. About how much money did the two movies earn altogether?A. $100,000,000


B. $140,000,000


C. $141,000,000


D. $200,000,000

Answers

So just add them first okay?892 ignore those 0's because they'll make it more complicated, so 892+924 is?1,816. Then add the 0's you get? 181,600,000. Round to the nearest hundred million?That is the ninth number, which is the 1 before 8. So then 8 is greater than five, so answer is 200,000,000 D.

At the end of one day, the value of a share of a certain stock was $12. Over the next three days, the change in the value of the share was $-1, then, $-1, and then $3. Write an expression that descrines the situation.

Answers

12-13=-1+4(after 2 days)=3

Integers are a subset of Rational Numbers.

True
False

Answers

Answer:

True.

Step-by-step explanation:

Given :Integers are a subset of Rational Numbers.

To Find : True or False

Solution:

Rational numbers : A rational number is any number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q.

Integer : An integer is a number that can be written without a fractional component

Integer can be written in p/q form with denominator 1

So, Integer is a subset of Rational numbers .

Hence Integers are a subset of Rational Numbers is true.

Final answer:

The statement is true, integers are indeed a subset of rational numbers. This is because every integer can be expressed as a rational number with the denominator as 1.

Explanation:

Yes, it is True that Integers are a subset of Rational Numbers. Rational numbers are defined as any number that can be expressed as the quotient or fraction of two integers, with the denominator not equal to zero. For instance, the number 3/1 is a rational number, and it equals to the integer 3. Integers, on the other hand, can be thought of as rational numbers where the denominator is always 1. Therefore, every integer is a rational number, but not every rational number is an integer.

Learn more about Integers and Rational numbers here:

brainly.com/question/393419

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You have $18 and a coupon for $5 off a pizza order. There is a special today and the cost of alarge pizza is $7. What is the maximum number of pizzas you can buy?

Answers

You can only get 3 pizzas because 7 times 3 = 21 so $21-$5=$16 and if you buy 4 pizzas you won’t have enough
Answer: You can get 3 pizzas

Explanation: 5x3=15, so you can only get 3 pizzas.

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