Solution
The 1st term = 20
Common difference (d) = 15
5th term = a + d(n-1)
= 20 + 15(5- 1) [Here n = 5)
= 20 + 15(4)
5th term = 20 + 60 = 80
The answer is 80.
Find the slope:
x-5=0
Answer:
slope is 1
Step-by-step explanation:
1 is the coefficient of x variable
so slope is 1
an investment earns 5% simple interest. what amount of principal is need to have $2500 after 4 years? round your answer to the nearest cent
Answer:
2083.33
Step-by-step explanation:
plug in equals = 2500/1+(0.05 x 4)
Is 2083.3 repeating
Round to the nearest cent is 2083.33
which of these is not included in the set of rational numbers? all integers, all whole numbers, all repeating decimals, or all non-terminating decimals
Answer: non-terminating decimals
Integers and whole numbers can be converted to fraction form. Example, the whole number 3 can be written as 3/1 which is rational. A rational number is any fraction of whole numbers (eg: 7/19). The denominator can never be zero.
All repeating decimals can be converted into a fraction. A number like 0.8888 with the 8s repeating forever converts to the fraction 8/9, which is rational
Non-terminating decimals are decimals that go on forever. If there is no pattern to the decimal sequence, then the decimals don't repeat and the number cannot be converted to a rational number. Something like pi = 3.14159... has no pattern to the decimal sequence. Therefore, a number like pi is irrational, which literally means "not rational", so numbers like pi aren't rational and are not part of the set of rational numbers.
Non terminating and non repeating decimals cannot be written in fraction from . So they are not included in set of rational numbers.
Given :
Lets take set of rational numbers that can written as a fraction of two numbers.
All integers are positive and negative numbers.
Rational numbers includes integers
Whole numbers starts from 0,1,2..........
Whole numbers are included in rational numbers
Repeating decimals can be written in fraction form .
Non terminating and non repeating decimals cannot be written in fraction from . So they are not included in set of rational numbers.
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What is 2−b3=−52 thanks
Answer: 18
Step-by-step explanation:
Kylie opened a bank account. She deposited $76.50 into her account every month for 10 months. She used $30.50 every month to pay for singing lessons. After 10 months, she used 1/4 of the total money left in her account to go to a talent camp. What is the total amount of money Kylie spent to go to the talent camp
Answer:
The answer is 115
jess buys 5/8 pound turkey and 7/16 pound of cheese. how much turkey and cheese does jess buy?
Jess buys a total of 17/16 pounds, which is equivalent to 1 1/8 pounds, of turkey and cheese combined.
Jess buys 5/8 pound of turkey and 7/16 pound of cheese. To find out how much turkey and cheese Jess buys in total, we need to add these two amounts together. Since both quantities are given in pounds, we can add them directly.
First, let's find a common denominator for the fractions 5/8 and 7/16. The common denominator is 16. Now we write 5/8 with the common denominator, which is the same as 10/16. With the fractions having the same denominator, we can add the numerators together:
(10/16) + (7/16) = (10+7)/16
17/16 pounds
So, Jess buys a total of 17/16 pounds of turkey and cheese. This is equivalent to 1 ⅛ pounds when expressed as a mixed number.
16-8y=4x function form
First you need to subtract 16 from each side.
-8y=4x-16
And divide -8 from each side
Y=4/8x-2
Reduce fraction
Y=1/2x-2
One hot summer day in Austin, Texas the temperature rose 32 degrees over the course of 4 hours. What would be the average increase in temperature per hour.
8 degrees per hour because 32/4 is 8. Hope that helped!
A full lake begins dropping at a constant rate. After 4 weeks it has dropped 3 feet. What is the unit rate of change in the lake's level compared to it's full level?
choices: (a) 0.75 (b) 1.33 (c) -0.75 (d) -1.3
(-3 ft)/(4 weeks) = -3/4 ft/wk = -0.75 ft/wk
The most approriate choice is ...
... (c) -0.75
The unit rate of change for the dropping lake's level is -0.75, calculated by dividing the total drop in levels (3 feet) by the total time (4 weeks). As the lake's level is dropping, the rate of change is negative.
Explanation:The question is asking us to find the unit rate of change in the lake's level, which means the amount the level has changed per unit of time. In this case, the time unit is weeks.
The lake has dropped 3 feet over 4 weeks, so to calculate the unit rate of change, we divide the total change (3 feet) by the total time (4 weeks). This results in a unit rate of change of 0.75 feet per week. However, since the lake's level is dropping, this should be a negative number.
So, the correct answer is (c) -0.75.
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Tyler goes running every 6 days. Steve goes running every 9 days. If they both ran today, in how many days will they run together again?
Gift bags are being distributed at a birthday party. If there was a total of 140 jolly ranchers
and 60 candy bars placed into gift bags, how many different combinations can be made so that there are not any pieces of candy left over? Which combination has the most amount of bags? Explain
Answer:
Total number of jolly ranchers= 140
Total number of candy bars= 60
Now , we have to place jolly and candy into gift bags such that no pieces of candy should left.
1. Find the ratio of jolly ranchers and candy bars
= 140/60
= 7/3
So, possible combination are (7,3),(14,6),(28,12),(35,15),(70,30).
1.So,in combination (7,3), number of bags=[tex]\frac{Total candy}{(7+3)}[/tex]
=[tex]\frac{200}{10}[/tex]
=20
2. Number of Bags(14,6)=200÷20=10
3.Number of Bags(28,12)=200÷40=5
4.Number of Bags(35,15)= 200÷50=4
5.Number of Bags(70,30)=200÷100=2
Combination (1) in which there are 7 Jolly ranchers and 3 candy bars has the most amount of bags which is 20.
What are two other ways to write 20,000,000+6,000,000+300,000+5,000+20+6
2 * 10 to the 7th plus 6 * 10 to the 6th plus 3*10 to the 5th plus 5000 plus 20 + 6
2 * 10 to the 7th plus 6 * 10 to the 6th plus 3*10 to the 5th plus 5 * 10 to the third plus 20 + 6
Two other ways to write this equation are
1. Standard Form: 26,305,026
2. Written Form: Twenty six million, three hundred five thousand, twenty six.
Deanna calculator that she about 5.4 x 10^4 seconds doing her math homework during October write this time in standard notation
An art teacher has a total of 7/8 pound of clay.The teacher puts 1/16 pound of clay at each workstation. The teacher sets up an equal number of workstations in each of 2 classrooms. How many workstations does the teacher set up in each of the classrooms? Show your work
Answer:
The teacher establishes 7 work stations in each of the classrooms.
Step-by-step explanation:
Each work station has 1/16 pounds of clay.
There are two classrooms with the same number of workstations.
The total amount of clay is 7/8
Then, we look for a number of work stations per classroom x, which multiplied by the number of classrooms (2) and multiplied by the amount of clay per work station (1/16) is equal 7/8.
Then we propose the following equation
[tex]\frac{1}{16}(2x) =\frac{7}{8}\\\\ \frac{2}{16}x = \frac{7}{8}\\\\ x = \frac{16 * 7}{8 * 2}\\\\ x = 7[/tex]
The teacher establishes 7 work stations in each of the classrooms.
Workstations the teacher set up in each of the classrooms is is mathematically given as
x=7
Workstations the teacher set upQuestion Parameters:
An art teacher has a total of 7/8 pound of clay.
The teacher puts 1/16 pound of clay at each workstation.
The teacher sets up an equal number of workstations in each of 2 classrooms
Generally the equation for the workstations is mathematically given as
1/16(x)=7/8
x=16*7/(8*2)
x=7
Therefore,workstations the teacher set up in each of the classrooms is
x=7
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Alba ran 21 miles in three hours what was her average speed
Divide the total amount traveled with the time it took.
21/3 = 7/1
Alba's average speed is 7 miles per hour
hope this helps
7 miles per hour. 21/3
Negative three times a number increased by seven less than -11
If there isn't any parenthesis it would be
-3n + 7 < 11
-3n < 4
n > 4 divided by 3
With parenthesis
-3(n+7) < 11
-3n - 21 < 11
-3n < 10
n > - 10 over 3
What is the equation of this line?
Y= 1/2x - 3
Y= -1/2x - 3
Y= -2x - 3
Y= 2x - 3
answer: y = 1/2x - 3
why?: if you go 1 unit up (which is positive) and go right 2 units (which is positive). you will get 1/2 as your slope. the y-intercept would be -3 because the line passes through the y-axis on -3.
With an addition table, it asks to show row of numbers that represent sums with one addend of 10. Please help. Thx
To find the row of numbers that represent sums with one addend of 10, look at the addition table and locate the row with 10 as the first number.
Explanation:To show a row of numbers that represent sums with one addend of 10, we can look at the addition table. In this table, we find the row where the first number is 10.
The numbers in this row will be the sums with 10 as one of the addends. For example, in the row where the first number is 10, the second number will be 10+0=10, the third number will be 10+1=11, and so on.
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The requested row in the addition table consists of sums of numbers 1-10, with an addend of 10. The sums range from 11 (10 + 1) to 20 (10 + 10).
Explanation:
In mathematics, an addition table is a table used to define the operation of addition. The question is asking for a row of numbers that represent sums when one of the numbers added (one addend) is 10. So, for example, if we are adding 10 to a series of numbers 1 through 10, the row in the addition table would look like this:
10 + 1 = 11 10 + 2 = 12 10 + 3 = 13 10 + 4 = 14 10 + 5 = 15 10 + 6 = 16 10 + 7 = 17 10 + 8 = 18 10 + 9 = 19 10 + 10 = 20 Learn more about Addition here:
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how to sovle this equation
Your answer is b
X^3-8= (x-2)(x^2+2x+4)
To check you multiply each term on first expression to the second expression .
(X-2)(x^2+2x+4)
X(x^2)+x(2x)+x(4) +(-2(x^2)-2(2x)-2(4))
Simplify
X^3+2x^2+4x-2x^2-4x-8
Subtract 2x^2 from 2x^2
X^3+4x+0-4x-8
Add x^3 And 0
X^3+4x-4x-8
Subtract x^3-0
X^3-8
Taylor is comparing the prices of two mattress cleaning companies. Company A charges $30 per mattress and an additional $15 as service charges. Company B charges $28 per mattress and an additional $21 as service charges.
Part A: write equations to represent company A’s and Company B’s total mattress cleaning charges for a certain number of mattresses. Define the variable used in the equations.
Part B: which company would charge less for cleaning 6 mattresses? Justify your answer.
Part C: How much money is saved by using the services of Company B instead of Company A to clean 3 mattresses?
part A:
company a
30m+15
m= matress
company b
28m+21
m=matresses sold
part B:
company a
30(6)+15
195$
company b
28(6)+21
189$
company B charges less
part C:
company a
30(3)+15
105$
company b
28(3)+21
105$
there is no change at all so you do not save anything.
Equations represent Company A and B's charges. Company B charges less to clean 6 mattresses. No savings are made cleaning 3 mattresses with Company B compared to Company A.
Part A: Let x represent the number of mattresses. The total charges for Company A can be represented by the equation: y = 30x + 15, where y is the total cost. The total charges for Company B can be represented by the equation: y = 28x + 21, where y is the total cost.
Part B: To determine which company would charge less for cleaning 6 mattresses, we substitute x = 6 in both equations:
Company A: y = 30(6) + 15 = 180 + 15 = $195
Company B: y = 28(6) + 21 = 168 + 21 = $189
Therefore, Company B charges less for cleaning 6 mattresses.
Part C: To find out how much money is saved by using Company B instead of Company A to clean 3 mattresses, we substitute x = 3 in both equations:
Company A: y = 30(3) + 15 = 90 + 15 = $105
Company B: y = 28(3) + 21 = 84 + 21 = $105
The charges are the same for 3 mattresses, so there is no money saved by using Company B instead of Company A.
8a - 3(2a + 5) = 13.
a = 14
distribute parenthesis on left side and simplify
8a - 6a - 15 = 13
2a - 15 = 13 ( add 15 to both sides )
2a = 28 ( divide both sides by 2 )
a = [tex]\frac{28}{2}[/tex] = 14
which of the following does not describe 10x?
A.)The product of 10 and x
B.)10 times x
C.)x times 10
D.)the quotient of 10 and x
The statement that does not describe 10x is the quotient of 10 and x.
Explanation:The correct answer is D.)the quotient of 10 and x. This is because 10x represents the product of 10 and x, or 10 times x. It can also be written as x times 10. However, it does not represent the quotient of 10 and x.
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Is 6 a factor, multiple of 24 and is 36and 48 a factor or multiple of 24
Answer:
6 is a factor and 36 is neither and 48 is a multiple
Step-by-step explanation:
algebra solving equations with the variable on each side
[tex]\frac{2}{3} n[/tex] [tex]+ 8[/tex][tex]=\frac{1}{2} n[/tex] [tex]+2[/tex]
Firstly, we have to SUBTRACT by [tex]\frac{1}{2}n[/tex] on each of your SIDES [tex]\frac{2}{3}n[/tex] [tex]+ 8[/tex] [tex]-[/tex][tex]\frac{1}{2}n[/tex] [tex]=[/tex][tex]\frac{1}{2} n[/tex][tex]+2[/tex][tex]-[/tex][tex]\frac{1}{2} n[/tex]We get the result of ↓[tex]\frac{1}{6}n[/tex] [tex]+ 8[/tex] [tex]= 2[/tex]~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~Secondly we have to SUBTRACT by [tex]8[/tex] on each of your SIDES [tex]\frac{1}{6} n+[/tex] [tex]8-8[/tex] [tex]= 2[/tex] [tex]-8[/tex][tex]2 -[/tex] [tex]8[/tex] [tex]= -[/tex][tex]6[/tex]We get the result of ↓[tex]\frac{1}{6} n[/tex] [tex]=-[/tex][tex]6[/tex]~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~Thirdly, we have to MULTIPLY by [tex]6[/tex] on each of your SIDES [tex]6[/tex][tex](\frac{1}{6}n)[/tex] [tex]=[/tex] [tex]6(-6)[/tex] [tex]6(-6)[/tex] [tex]-36[/tex]~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ANSWER: [tex]n[/tex] [tex]=[/tex] [tex]-36[/tex]____________________________________________Good luck on your assignment and enjoy your day! `````````````````````````````````````````````````````````````````````````````````````````````````````~[tex]LoveYourselfFirst:)[/tex]Please answer quickly thanks :)))
Is it true that to finding the LCM you have to divide the product but he GCF? If not give in example why not, and if it’s true, why does it work?
To find the LCM, you CAN divide the product of the two numbers by the GCF.
This is not a very well-known fact, but it is useful at times, especially when we are asked to calculate both the LCM and GCF.
For example, the GCF of 18 and 48 is 6, by inspection or by factors.
Therefore the LCM of 18 and 48 is 18*48/6=864/6=144.
It works because by definition the GCF is the products of all common factors between the two given numbers. Dividing the product by the GCF will therefore remove the duplication of the common factors, leaving a number which contains the factors of each of the two numbers, thus a lowest common multiple.
Note that this method is not the only way to find LCM's.
What is the equation of this graphed line?
Enter your answer in slope-intercept form
The and would be y=-1/3x-5 because to find slope you would use the equation y2-y1 divided by x2-x1 and find the slope of -4/12 which simplifies to -1/3 and the y-int is -5 so you would just plug that in.
Which expression can be used to find 20 percent of 92?
Answer:
18.4 but io do not know what expression can be used to find out your questions
Step-by-step explanation:
Answer:
A. 1/5 × 92 is the Expression that can be used in order to find 20% of 92.
Type the correct answer in the box.
A plane intersects a prism parallel to the base of the prism. The cross section is a polygon with eight sides. The base of the prism has ----
sides.
Answer:
4
Step-by-step explanation:
Answer:
The answer is 8 sides.
Step-by-step explanation:
A plane intersects a prism parallel to the base of the prism. The cross section is a polygon with eight sides. The base of the prism has also 8 sides.
The cross-section of a plane parallel to the base is the same shape as the base. The cross section is also an eight sided polygon, so, the base of the prism has 8 sides.
what property is shown?
distributive property because you are distributing the 2