Answer:
My answer is 1170 but the way I figured out the problem was by listing numbers 1-30. the problem state that the 1st row had 10, 2nd row had 12, and 3rd row had 14 and so forth. So I basically did the same method till I got to 30 and then add up all the numbers which gave me the answer of 1170.
Step-by-step explanation:
Answer:
1170
Step-by-step explanation:
hey there,
(the other person just calculated each number themselves then added them up which i guess is okay but not in the long term for when you're taking a test for example or your teacher asks you this kind of question so it's better to memorize a formula.)
< There are two types of sequences: arithmetic and geometric. So also two formulas for finding sums of each. This situation is an arithmetic sequence.
Formula for the sum of an arithmetic sequence: [tex]S_n=\frac{n}{2} (a_1+a_n)[/tex]
We know there are 30 total rows so n = 30. a1 is the very first term of a sequence so this is 10 in this situation. Before we fill in the formula, we should find what an is equal to.
For this, we will use the basic formula you learned previously: [tex]a_n=dn+c[/tex]
d (the common difference) = a2-a1 = 12-10=2
c (the common ratio) = a1-d = 10-2 = 8
an = dn + c = 2(30) + 8 = 68
Now that we have found what a_n is equal to, we can plug everything into the sum equation.
[tex]S_n = \frac{30}{2} (10+68)=1170[/tex]
So 1170 is your final answer. >
Hope this helped! Feel free to ask anything else.
what is the value of 5 + -2
Answer:
3
Step-by-step explanation:
5 is greater than 2 and two is negative so the answer is positive
Four friends had dinner at a restaurant. The bill was $55.40, and they added a 20% tip. The 4 friends shared the total cost equally. How much money did each person pay?
Answer:
$16.62 each
Step-by-step explanation:
First, find 20% of the bill to figure out how much the tip is worth:
20% over 100% = $x over $55.40 ---> 20 * 55.4 / 100 = 11.08
Now that we know the tip is $11.08, next add it on to the bill:
$11.08 + $55.40 = $66.48
Now divide this by 4 to split the bill evenly between the 4 friends:
$66.48 / 4 = $16.62
Can someone please help me on this question?
Which problem can be solved using the equation shown?
Answer: The first one :)
Step-by-step explanation:
The sum of three consecutive numbers is 72 what is the smallest of the numbers
Answer:
23
Step-by-step explanation:
Suppose,
the first number = x
the second number = x+1
the third number = x+1+1 = x+2
Question wise,
x+x+1+x+2 = 72
3x+3 = 72
3x = 72-3 = 69
x = 69/3 = 23
so the numbers are,
23,(23+1)=24 and (23+2)=25
Which equation represents the relationship between the x -values any the y -values in the table?
Jack can type 35 words per minute. How long would it take Jack to type a 490 word essay?
What is the slope of a line that is parallel to the given equation?
y -- 2 = 5 (x + 1)
Answer: Slope = 10.000/2.000 = 5.000
x-intercept = 7/-5 = -1.40000
y-intercept = 7/1 = 7.00000
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
y-2-(5*(x+1))=0
STEP
1
:
Equation at the end of step 1
(y - 2) - 5 • (x + 1) = 0
STEP
2
:
Equation at the end of step 2
y - 5x - 7 = 0
STEP
3
:
Equation of a Straight Line
3.1 Solve y-5x-7 = 0
Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).
"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.
In this formula :
y tells us how far up the line goes
x tells us how far along
m is the Slope or Gradient i.e. how steep the line is
b is the Y-intercept i.e. where the line crosses the Y axis
The X and Y intercepts and the Slope are called the line properties. We shall now graph the line y-5x-7 = 0 and calculate its properties
Graph of a Straight Line :
Calculate the Y-Intercept :
Notice that when x = 0 the value of y is 7/1 so this line "cuts" the y axis at y= 7.00000
y-intercept = 7/1 = 7.00000
Calculate the X-Intercept :
When y = 0 the value of x is 7/-5 Our line therefore "cuts" the x axis at x=-1.40000
x-intercept = 7/-5 = -1.40000
Calculate the Slope :
Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 7.000 and for x=2.000, the value of y is 17.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 17.000 - 7.000 = 10.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)
Slope = 10.000/2.000 = 5.000
Geometric figure: Straight Line
Slope = 10.000/2.000 = 5.000
x-intercept = 7/-5 = -1.40000
y-intercept = 7/1 = 7.00000
A bag of flour contains 24 cups. Each sponge cake that Gilda makes uses 3 cups of
flour. How many cakes can she make with one bag of flour?
8
3
24
1
Answer:
8
Step-by-step explanation:
This is the answer because:
1) Since there are 24 cups in one bag and she uses 3 cups per cake, all we have to do is divide:
24 ÷ 3 = 8
Therefore, the answer is 8.
Hope this helps! :D
The distance between Prague and Vienna is 254 km. The local time in Prague is the same as the local time in Vienna. Calculate the average speed of the train
Answer: 56.44 km/h
Step-by-step explanation:
Speed = Distance / Time
Time = 1950 - 1520 = 4 hours 30 minutes = 4.5 hours
Speed = 254/4.5
= 56.44 km/h
pllsss I needddd helpp
PLEASE HELP VERY URGENT!
The graph shows the distance Kerri drives on a trip. What is Kerri's speed?
Driving Time and Distance
A. 25 miles per hour
B. 60 miles per hour
C. 75 miles per hour
D. 50 miles per hour
Answer:
Kerri's speed = 50 mile per hour. Therefore option (D) is true.
Step-by-step explanation:
Given the distance-time graph
It is clear from the distance-time graph that:
at Time = 1 hour, Distance = 50 milesat Time = 2 hours, Distance = 100 milesso the two points on the distance-time graph is:
(1, 50)(2, 100)Finding the slope between the points to determine the speed.
Please note that the slope between the points represents the speed or rate of change.
Speed = Rate of change = y₂-y₁ / x₂-x₁
= 100 - 50 / 2-1
= 50 / 1
= 50 miles per hour
Thus, Kerri's speed = 50 mile per hour. Therefore option (D) is true.
I don’t know how to do this I’m so confused
Answer:
You have to graph it
Step-by-step explanation:
Step-by-step explanation:
take the value in that BIG curly bracket as X terms....then substitute one by one to the equation given below to get Y values...after that u have cordinates then u can draw the graph..
[tex]x \: \: \: y \\ - 2 = - 8 \\ - 1 = - 10 \\ 0 = - 12 \\ 1 = - 14 \\ 2 = - 16[/tex]
this is for the first equation..so the coordinated are...
(-2,-8), (-1,-10), (0,-12), (1,-14), (2,-16)
use the same methord to find the others
please help me on this , tyyy :]
9514 1404 393
Answer:
(a) 1, 2
(b) 4
Step-by-step explanation:
(a) 9x +81 = 9·x +9·9 = 9(x +9) . . . . . . matches first and second choices
__
(b) 10 +14y -5 -y = (14y -y) +(10 -5) = 13y +5 . . . . . . matches fourth choice only
In Siberia, a record high temperature of 98 F has been reported. The record low temperature is 192 degrees lower than the record high temperature. What was the coldest Siberia temperature?
Answer:
Lo: - 94o F
Step-by-step explanation:
Hi: 98oF
Difference: 192 degrees lower
Low: ?
Formula
98 - 192 = -94
That seems incredibly cold. I've lived through a day that was - 60oF and that was enough. (about - 51o C)
If you think in Celcius
The formula is
C = 5/9(F - 32)
C = 5/9 (-94 - 32)
C = 5/9 (-126)
C = -60
I think Siberia must be much colder than -60.
PLEASE HELP FAST FIND THE DOMAIN AND RANGE OF EACH GRAPH ILL GVIE 30 POINTS!
Answer:
1. domain (-3,5] range (3,4]
2. domain [-2,4] range [5,4]
3. domain (1,4) range (-1,-4)
Step-by-step explanation:
im in algebra two so you can trust my answer. happy holidays and stay safe!
Step-by-step explanation:
1).domain [-3,5)
range( -4,3]
2)domain[-2,4)
range:[-2,5)
3) domain[1,4]
range [-4,-1]
Estimate and then solve 8,712 ÷ 44 Pls help I will mark u BRAINLEIST
Answer:
I think 198 the correct
Answer:
198
Step-by-step explanation:
Do the bois got me? Please bois
Answer:
the 2
second one
Step-by-step explanation:
Answer:
DFA BFC
Step-by-step explanation:
-3 5/6 make it a decimal
Answer:
-3.56 i think .
Step-by-step explanation:
HELP ME PLEASE!!!!!!
What is the slope of the line represented by the equation ?
Answer:
I think is 10 because 2 negatives make a positive and 2 would make the answer -10
please help fast
Find the mistake
a) (x+3)(x+9)= x2+18x+12
Step-by-step explanation:
Using FOIL:
(x + 3)(x + 9)
= (x)(x) + (x)(9) + (3)(x) + (3)(9)
= x² + 9x + 3x + 27
= x² + 12x + 27.
Write a real-world problem where you would
want to compare rates of change for two different functions.
Answer and Step-by-step explanation:
Let us assume two boys are jogging.
Boy 1 jogging speed is 10 kilometres per hour
Boy 2 jogging speed is 20 kilometres per hour
This can be represented in terms of distance, d and time, t. When we do this, we have:
d = 10t boy 1
d = 20t boy 2
This implies that boy 1 rate of change is 10 kilometers for every one hour and boy 2 is 20 kilometers for every 1 hour.
From here, we can conclude that the rate of change of boy 2 is twice the rate of change of boy 1.
How can I divide 18/15 without any leftovers
Answer:
You can turn the leftovers into a decimal. the answer you would get would be 1.2.
Step-by-step explanation:
Hope this helps and have a nice day!
Answer:
Calculate out how many times the denominator goes into the numerator. To do that, divide 18 by 15 and keep only what is to the left of the decimal point:
18 / 15 = 1.2000 = 1
Multiply the answer from Step 1 by the denominator and deduct that from the original numerator.
18 - (15 x 1) = 3
Keep the original denominator and use the answers from Step 1 and Step 2 to get this:
1 3/15
Minimize the fraction part from Step 3 by dividing the numerator and denominator by 3, which is the greatest common factor, to get the final answer. 18/15 as a Mixed Number is:
1 1/5
Which would also equal to 1.2000.
Hope this kinda helped and made some sense.
(☞ﾟヮﾟ)☞BRAINIEST☜(ﾟヮﾟ☜)
Step-by-step explanation:
Eliza is planning a 5-day trip. She has budgeted $38.25 a day for food and the hotel will cost a total of $349.75. She also is bringing $495.00 for spending money. What is the average cost per day for Eliza’s trip?
Answer:
$207.20
I hope this can help in any way!
A veterinarian is interested in the average number of pets her clients own. Over the course of a month, she questions each client she meets with and records their responses. The veterinarian calculates the average and draws a conclusion from her data.
What kind of statistical study did the veterinarian conduct?
A.
theoretical study
B.
survey
C.
experiment
D.
observational study
Answer:b
Step-by-step explanation:
Plato
HELPPP ASAP!!! Fernando, sixty-six, developed tremors a few years ago. Now he is becoming unsteady on his feet. Which of
the following would explain these symptoms?
O Alzheimer's
O frontal lobe dementia
O andropause
O Parkinson's
Answer:
The answer is Parkinson's Disease
Step-by-step explanation:
It is correct on Odyssey Ware
Miguel took 7 hours to read a 259-page book and Julissa took 5 hours to read a 175-page book. Who read more pages per hour?
Triangle ABC was dilated with the origin as the center of dilation to create
A'B'C'.
Which rule best represents the dilation that was applied to Triangle ABC to create A'B'C'?
A. (x, y,) (13x, 13y) C. (x, y,) (x - 3, y + 3)
B. (x, y,) (3x, 3y) D. (x, y,) (½ x, ½ y)
Answer:
this is my answers
B. (X,y) (3x.3y)
Which represents z = 3 (cosine (StartFraction 7 pi Over 6 EndFraction) + I sine (StartFraction 7 pi Over 6 EndFraction) )?
Answer:
The first one
Step-by-step explanation:
Answer:
A on edge
Step-by-step explanation: