Answer: 603 dots
Step-by-step explanation:
Triangle always has 3 sides. Given that
Each new triangle shown below has one more dot per side than the previous triangle. That means if first term has 6 dot, the second term will have 9 dots and third has 12 dots.
The difference between first and the second is the same with the difference between third and the second. That is,
First term a = 6
Difference d = 3
Number of term n = 200
This is arithmetic progression. We can come up with a formula:
Tn = a + ( n - 1 )d
Substitute all the parameters into the formula
Tn = 6 + ( 200 - 1 )×3
Tn = 6 + 199×3
Tn = 6 + 597
Tn = 603 dots
Therefore, the total number of dots on the 200th triangle of this sequence is 603 dots.
Mr. Weaver invested part of his $6000 inheritance in an account that earns 4%
simple interest and the other part in an account that earns 7% simple interest.
How much did he invest in each account if the two accounts earned $360 after
the first year?
Answer:
Mr. Weaver invested $ 2,000 in the 4% simple interest account and $ 4,000 in the 7% simple interest account.
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Amount of the inheritance = $ 6,000
Interest rate of the first part = 4% simple
Interest rate of the second part = 7% simple
Interest of the accounts after the first year = $ 360
2. How much did he invest in each account?
For answering the question, we will use the following equation:
x = Amount invested in the first account
6,000 - x = Amount invested in the second account
0.04x + 0.07 * (6,000 - x) = 360
0.04x + 420 - 0.07x = 360
-0.03x = 360 - 420 (Subtracting 420 at both sides)
-0.03x = -60
x = -60/-0.03
x = 2,000 ⇒ 6,000 - x = 4,000
Mr. Weaver invested $ 2,000 in the 4% simple interest account and $ 4,000 in the 7% simple interest account.
Jan is solving the equation shown below. Which of the following represents the solution to Jan’s equation?
a. x = 3
b. x = -3
c. x = 27
d. x = -33
Answer:
C. X=27
Step-by-step explanation:
-11+1/3x+9=7
1/3x=7+11-9
1/3x=9
x=9x3
x=27
Two ants, Andy and Ashley, went to visit their friend. Andy crawled the whole way, but Ashley spent half of the way riding on a caterpillar, which was two times slower than crawling. Ashley spent the second half of the journey riding on a grasshopper, which was 5 times faster than crawling. Which ant got to their friend's house first, if they left at the same time? PLZ EXPLAIN IT VERY SIMPLE
Answer:
Andy
Step-by-step explanation:
Ashely rode the caterpillar till the half of her journey. And Andy crawled all the way.
Crawling is twice as fast as riding the caterpillar, so by the time Ashley got to the half of her journey, Andy would have already reached their friends house.
Answer:
Andy
Step-by-step explanation:
Please see attached picture for full solution.
In the diagram, AC and PR are vertical lines, while CB is a horizontal line segment. If CR : RB = 2 : 3, what are the coordinates of point Q? A. (-2, -4) B. (-1, -5) C. (-3, -3) D. (0, -6)
Answer:
A. (-2,-4)
Step-by-step explanation:
If CR:RB is 2:3, and C is (-4,-7), then R is (-2,-7)
You can stop here because only A has the x value as -2.
If you want to look at the y value also, -4 is 2/5 of the way between -2 and -7, which has the same 2:3 proportion.
Two passenger trains traveling in opposite directions meet and pass each other. Each train is 1/12 mi long and is traveling 50 mph. How many seconds after the front cars of the trains meet will their rear cars pass each other?
Answer:
6 seconds
Step-by-step explanation:
Total distance between the 2 rear cars = [tex]\\\frac{1}{12} + \frac{1}{12} = \frac{1}{6}\\\\\\\\\\Relative speed of the trains = 50 + 50 = 100 mphT = \frac{Distance}{Speed} = \frac{1}{6} * \frac{1}{100} = \frac{1}{600} hours\\T = \frac{1}{600} hours or \frac{3600}{600} = 6 seconds[/tex]
is the graph increasing decreasing or constant
Step-by-step explanation: aumentado pois ele define uma certa quantidade de aumentação
A tiling company completes two jobs. The first job has $1200 in labor expenses for 40 hours worked, while the second job has $1560 in labor expenses for 52 hours worked. The relationship between the labor expenses and the hours worked is linear. Which equation can be used to calculate the y-intercept of the linear equation? 1200 = 40 (40) + b 1560 = 30 (40) + b 1560 = 30 (52) + b 1200 = 52 (30) + b
Answer:
1560 = 30(52) + b
Step-by-step explanation:
First job has $1200 in labor expenses for 40 hours worked,
Point (x,y)
(40, 1200
Second job has $1560 in labor expenses for 52 hours worked.
Point (x,y)
(52,1560
Slope of the line, m
m=1560-1200/52-40
=360/12
=30
Slope intercept,y
y=mx+b
Where,
b= y intercept
y=30x+b
points: (40,1200) and
(52,1560)
Equation to find y-intercept
y=30x+b
For point (40,1200)
1200 = 30(40) + b
y=30x+b
For point (52,1560)
1560 = 30(52) + b
The correct equation is
1560 = 30(52) + b
Answer: It is C
Step-by-step explanation:
math
If y = 6x - 3, which of the following sets represents possible inputs and outputs of the function, represented as ordered pairs {(0, 3), (1, -9), (2,-15) (0, -3), (2, 15), (4,21)} (0, -3). (2,9),(4,21)} {(0.3),(-2, 15), (4, 21)}
Answer : (0, -3) ; (4,21) and (2,9)
Step-by-step explanation:
y = 6x- 3
y =0*x-3 = -3 (0,3) is not a possible set y = 1*6-3 = 3 (1,-9) is not a possible set y = 6*2-3 = 9 (2,-15) is not a posiible set (0.-3) is a possible set as verified in the first one (2,15) is not a possible set since the output of 2 is 9 y = 4*6-3 = 21 so (4,21) is possible set (2,9) is a possible set as verified in the third oneAnswer: ( 0,-3), (2,9),(4,21)
Step-by-step explanation:
Hi . I need help with the question below and the one in the picture.
(1.) Four girls shared a certain sum of money. The first received ½ of it , The second received ¼ and the third received 1/5 of it . If the fourth girl received 25 Kobo , what was the original sum of money.
(a). N6.00
(b). N5.00
(c). N4.50
(d). N3.50
(e). N2.50
Note : 100kobo = N1
Workings Please.
Answer:
1) N5.00
2) N1.50
Step-by-step explanation:
1) 1/2+1/4+1/5=10/20+5/20+4/20=19/20=95%
That means the 4th girl received 5%.
25 is 5% of 500
500 Kobo is N5.00
2) He lost 55%, so they means he has 45% left.
67.5 is 45% of 150
(67.5/0.45=150)
150Kobo is N1.50
On a 120-question test, a student got 96 correct answers. What percent of the problems did the student work correctly? (Btw use proportions and pls explain descriptively how you got your answer)
Answer:
Hey there!
96 correct/120 total= 4 correct/5 total.
Thus, the student had 0.8 of the answers correct, or 80% of them
Hope this helps :)
Answer:
please mark me as the brainliest
Step-by-step explanation:
80%
Using everyday knowledge, indicate whether the if-then statements are correct forward-only or both forward and reverse.
Statement 1: If Bo is Mel's sibling, then Melis Bo's sibling.
Statement 2: If the sprinklers are on, then the grass is wet.
Answer:
1. Both forward and backward
2. Only forward
Step-by-step explanation:
The reason Statement 1 can be both forward and reverse is because is Bo and Mel are related then it will word forward and backward.
The reason Statement 2 can be only forward is because is the sprinklers are on then the grass is wet will work since it is saying ONLY the sprinklers are on. If it is reverse and the grass is wet if the sprinklers are ONLY on than that is false since if it rains than the grass can also be wet. So there are multiple ways that the grass can be wet hence the answers.
Answer:
Using everyday knowledge, indicate whether the if-then statements are correct forward-only or both forward and reverse. Statement 1: If Bo is Mel’s sibling, then Mel is Bo’s sibling. / Statement 2: If the sprinklers are on, then the grass is wet.
Step-by-step explanation:
The radius of a circle is three units. What is the diameter of the circle?
Answer:
6 units
Step-by-step explanation:
3x2=6
Answer: 6 units
Step-by-step explanation: The diameter of a circle which is a cord that passes through the center is always 2 times the radius.
So if we know that the radius of pour circle is 3 units,
we can simply multiply 2 by 3 to get 6 units.
So the diameter is 6 units.
HELP ASAP. BRAINLIST IF YOU ANSWERED IT RIGHT
Which of the following theorems verifies that NPO-XYZ
Answer:
The answer is D.
Step-by-step explanation:
In similarity, the triangles have the same angles but different length of sides.
(Correct me if I am wrong)
Answer:
D. AA
Step-by-step explanation:
We do not know height or length, so that rules out A, B, and C. This leaves us with D which is angle~angle, (37 and 90 degrees). Hope this helps. :)
A 2-digit number is increased by 36 when the digits are reversed. The sum of the digits is 10. What is the original number?
====================================================
Work Shown:
T = tens digit of the original number
U = units digit of the original number
U+T = 10 since the digits add to 10. Solve for U to get U = 10-T
10T+U = original number
10U+T = new number where digits are reversed
-----------
new number = (old number) + 36
10U+T = (10T+U)+36
10U+T = 10T+U+36
10(10-T)+T = 10T+10-T+36 ... plug in U = 10-T
100-10T+T = 10T+10-T+36
-9T+100 = 9T+46
100-46 = 9T+9T
54 = 18T
18T = 54
T = 54/18
T = 3 is the tens digit of the original number
U = 10-T
U = 10-3
U = 7 is the units digit of the original number
10T+U = 10*3+7 = 30+7 = 37 is the original number
73 is the reversed number.
73-37 = 36 is the difference, showing that 37 increased by 36 leads to 73. The answer is confirmed.
Answer:
37
Step-by-step explanation:
Please help i will make brainliest for correct answers!
Answer:
15. 18 groups
16. 60 combinations
Step-by-step explanation:
6*3=18
20*3=60
30 points will give brainliest to whoever gets it right
Answer:
8(.5)^x
Step-by-step explanation:
This is only broken up into two main parts: the "a" and the "b" of the equation.The "a" is the y-coordinate when x is at 0 and the y-coordinate is 8 there so that fills it in.The "b" is the rate at which for every time x increases by 1, the y decreases by a portion of its current. In this case, every time the x increases by one, the y value cuts in half which means the rate is .5 or one half.Therefore, the answer is 8(.5)^xA certain worker makes $12 per hour for the first 40 hours and $18 for every hour more than 40. Compute her pay for working 45 hours.
Answer: $570
Step-by-step explanation:
She worked 5 hours more than 40. Thus, for her extra hours she made 18*5, or $90. For her other 40, she made 40*12, or $480. Thus, she made 480+90 dollars, or $570.
Hope it helps <3
Answer:
$570
Step-by-step explanation:
Since she is working 40 hours you need to multiply 12 · 40 first and should get 480
Since there is an extra 5 hours you need to do 18 · 5 = 90
Lastly, you add 480 and 90 and you will get 570
A basket of fruit contains 4 bananas, 3 apples, and 5 oranges. You intend to draw a piece of fruit from the basket, keep it, and then draw a 2nd piece of fruit from the basket. What is the probability of selecting two oranges in a row from the basket if you are blindfolded?
Answer:
5:12 or 4:11
Step-by-step explanation:
there are a total of 12 pieces of fruit including 5 oranges the first draw then on the second draw there are now 11 total pieces of fruit and 4 oranges
graph y=3/4x+2 on a graph
WILL MARK BRAINLIEST PLEASE HELP!!!!! in your own words what does it mean to have one solution in a liner equation what does it mean to have no solutions in a liner equation what does it mean to have infinite solutions in a liner equation
Answer:
One solution: When the graphs intersect at one point
No solution: This means that the lines are parallel or that there is no answer to the equation
Infinite solutions: This means that any value for the variable would make the equation true
Step-by-step explanation:
Which best describes the relationship between the lines with equations -36x + 8y = 16
and -9x + 2y = 4?
Answer:
Infinitely many solutions.
Step-by-step explanation:
-36x + 8y = 16
-9x + 2y = 4
4(-9x + 2y = 4)
-36x + 8y = 16
Now, we can see that the two lines are exactly the same, which means that they have infinitely many solutions.
Hope this helps!
A submarine is only allowed to change its depth by rising toward the surface in 60 meter stages. If the submarine starts off at 340 meters below sea level, what is its depth after 4 stages of rising to the surface.
Answer:
100
Step-by-step explanation:
340 - (4 * 60) = 100
The depth of the submarine after 4 stages of rising to the surface will be 100 meters.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
It is given that a submarine is only allowed to change its depth by rising toward the surface in 60-meter stages. The submarine starts off at 340 meters below sea level.
The depth of the submarine after 4 stages will be calculated as below:-
depth = 4 x 60 = 240
depth from the surface = 340 - 240 100 meters
Therefore, the depth of the submarine after 4 stages of rising to the surface will be 100 meters.
To know more about expression follow
https://brainly.com/question/723406
#SPJ2
Identify the first 4 terms in the geometric sequence given by the explicit formula ƒ(n) = 4 × 2(n – 1). Question 3 options: A) 4, 8, 16, 32 B) 2, 6, 10, 14 C) 4, 6, 8, 10 D) 2, 8, 32, 128
Answer:
A
Step-by-step explanation:
Hello, please consider the following.
[tex]f(1)=4*2^0=4\\\\f(2)=4*2^1=8\\\\f(3)=4*2^2=16\\\\f(4)=4*2^3=32[/tex]
So the correct answer is the first one A.
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
THE ANSWER IS NOT 12 OR 36 SO DO THE RSM ANSWER PLS ASAP PLS OH PLS 0-0 a * b=ba−ba+ab, find (2*3)×(3*2).
72 if * is exponents
in a survey of 420 people, 85% said they drink coffee. of these, 1/3 said they drink their coffee black. how many of the people surveyed drink it black?
Answer:
A.) 119
420 * 0.85 is 357 and 357 * 1/3 is 119
Hope this helps ^^
Answer:
119
Step-by-step explanation:
The total number of people who had taken the survey is 420 wich is equivalent to 100%.
The percentage of people who drink coffee is 85%.
●●●●●●●●●●●●●●●●●●●●●●●●
Let x be the number of people drinking coffee
● 420 => 100%
● x => 85%
These values are proportional so we can cross-multiply them
● x*100 = 420*85
● x = (420*85)÷100
● x = 357
The number of people who drink coffee is 357.
■■■■■■■■■■■■■■■■■■■■■■■■■
Let y be the number of people who drink black coffee.
y is 1/3 of 357 since people who drink black coffee represent the third of the total number of people drinking coffee in general.
● To get y multiply 1/3 by the total number of people drinking coffee (357)
●y = (1/3)*357
● y = 119
119 is the number of people who drink black coffee
Help ! Help ! Help !
Answer: $ 82,531.59.
Step-by-step explanation:
Formula to calculate the accumulated amount compounded daily:
[tex]A=P(1+\dfrac{r}{365})^{t}[/tex]
,where P=principal amount, t=time ( in days ), r =rate of interest.
Given: P= $51,123.21
r = [tex]2\dfrac{3}{8}\%=\dfrac{19}{8}\%=0.02375[/tex]
t= 20 years 2 months
[tex]= 20(365)+\dfrac{2}{12}(365)\\\\= 7360.83[/tex] [1 year = 365 days, 1 year = 12 months]
Substitute all values in the formula, we get
[tex]A=(51123.21)(1+\dfrac{0.02375}{365})^{7360.83}\\\\\approx82531.59[/tex]
hence, future value = $ 82,531.59.
Which of the following represents *picture attached*
Answer:
The answer is option C
Step-by-step explanation:
104
E 6
x = 1
Write the number as a product with the factor 1
104
E 6 × 1
n = 1
Rewrite the sum
That's
104
6 × E 1
n = 1
Find the sum of n terms of 1 using the formula
n
E 1
k= 1
Which is
6(104) = 624
Hope this helps you
Answer:
6(104) = 624
Step-by-step explanation:
The summation symbol ...
[tex]\sum\limits_{n=1}^{104}{\text{expression}}[/tex]
means that the expression is evaluated for n=1, n=2, n=3, n=4, ... up to n=104 and all of those are added together. Here, the expression being evaluated is "6", which does not depend on n. So, this is simply the sum of 104 instances of 6:
6 +6 +6 +6 ...+6 . . . . 104 terms in the sum
As we know, repeated addition can be accomplished by multiplication:
= 6(104) = 624
Which of the following are accurate descriptions of the distribution below?
Answer:
the most years of experience is 2, and the least years are 10 years
Step-by-step explanation:
What is the x-coordinate of point P on the coordinate grid?
Answer:
-3/2
Step-by-step explanation:
We have to see where the point lies, check the x-axis from the graph.
(-3/2, 1/2)
x = -3/2
-3/2
Step-by-step explanation:
We have to see where the point lies, check the x-axis from the graph.
(-3/2, 1/2)
x = -3/2
Solve |3x + 9| + 6 = 6 Question 5 options: A) x = 3 B) x = 3 or x = –3 C) No solutions D) x = –3
Answer:
Hey there!
We have |3x + 9| + 6 = 6. Subtracting 6 from both sides gives us |3x + 9| = 0.
3x+9=0
3x=-9
x=-3
Hope this helps :)
Answer:
-3
Step-by-step explanation:
Subtracting 6 from both sides yields |3x + 9| = 0. For this to be true, 3x + 9 must be 0, and so x must be -3.