If the first term in an arithmetic sequence is 15 and the tenth term is 69. What is the fourth term in the sequence?

Answers

Answer 1

Answer: Hello,

$a_(0)=15$ first term
$a_(1)=15+r$ second term
$a_(2)=15+2r$ third term
...
$a_(9)=15+9r$ is the tenth term =69

15+9r=69
==>9r=69-15
==>r=54/9=6
$a_(3)=15+3r=15+18=33$

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3 x +11 = 10 Does this problem have one, many, or no solutions?

Answers

it has just one solution and dats elimination method

one

3x+11=10
minus 11 both sides
3x=-1
divide by 3 boths ides
x=-1/3
one solution

A survey showed that 25% of students chose cola as their favorite soda; 40% chose orange; and the other 35% chose grape. If you survey 32 students from the same group, how many will choose cola?16 people
8 people
12 people
25 people

Answers

A survey showed that 25% of students chose cola as their favorite soda;
40% chose orange
and the other 35% chose grape.
There are 32 students fromthe same group that took the survey. Let's find out how many will choose cola.
=> 32 * 0.25 = 8 Therefore, there are 8 people that chooses soda as their favorite drink.

Which decimal number is 17/22 equal to?

Answers

Answer with explanation:

A decimal number is terminating , if it's denominator is of the form $2^p \text{or} 2^p * 5^q \text{or} 5^q.$

The fraction or Rational number ,

$(17)/(22)=(17)/(11* 2)$

has both 2, and 11 in the denominator,it means this decimal number is non terminating repeating.

So, $(17)/(22)=0.72272727......\n\n=0.72\bar{27}$

Non terminating repeating decimal.

It is equal to 0.7727272727

Julia has 2 identical rooms in her house. If each room measures 8 feet on one side and 12 feet on another, what is the total area of the rooms?

Answers

L = 12 ft
W = 8 ft
One room has area:
A1 = L · W = 12 · 8 = 96 ft²
The total area of rooms:
A = 2 · 96 = 192 ft²

bottles of sparkling water usually cost $1.69 each. this week they're on sale for 4 for $5 . You bought one last week and one this week. Did you pay more or less for the bottle this week? How much more or less?

Answers

Generally, they are $1.69 apiece, and this week they are 4 for 5$

This means that this week, they are $1.25 apiece, meaning you spend less, by about $0.44

This weeks is cheaper by 44 cents

Answer:

You paid less for the bottle this week

We paid $0.44 less this week.

Step-by-step explanation:

How to Solve

Given: Cost of 1 sparkling bottle last week = $1.69

This week's cost of 4 bottles is $5.

To find: The cost of 1 bottle.

For finding how much we pay less this week, we have to subtract the cost of 1 sparkling bottle this week from the cost of 1 sparkling bottle last week.

What is the answer to 2x >/= -6 + x-1<0 ?

Answers

Answer:

x < 7

Step-by-step explanation:

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