Answer:
(a) 10, (b) 21, (c) 8, (d) 255, (e) 25Step-by-step explanation:
(a)Total number of candies = 120
The number of candies in the rows form AP sequence:
3, 5, 7, ...The first term is a=3 and common difference is d=2
Sum of n terms:
S = 1/2n(2a + (n - 1)d)Substitute values and solve for n:
120 = 1/2n(2*3 + 2(n - 1)) 120 = 3n + n² - nn² + 2n = 120n²+ 2n + 1 = 121(n + 1)² = 121n + 1 = 11n = 10Correct choice is (ii) 10
(b) Formula for nth term:
a(n) = a + (n - 1)da(10) = 3 + 9*2 = 3 + 18 = 21 candiesCorrect choice is (ii) 21
(c) Use same formula:
a(7) - a(3) = a + 6d - a - 2d = 4d4d = 4*2 = 8Correct choice is (i) 8
(d) Sum of candies in 15 rows
S(15) = 1/2(15)(2*3 + (15 - 1)*2) = 1/2(15)(6 + 28) = 255Correct choice is (iii) 255
(e) Number of candies in 12th row:
a(12) = 3 + (12 - 1)*2 = 3 + 22 = 25Correct choice is (iii) 25
Simply this equation 8-4(7b+5)
Answer:
-28b-12
Step-by-step explanation:
8-4(7b+5)=8-4*7b-4*5=8-28b-20=-28b-12
Answer:
-12-28b
Step-by-step explanation:
8-4(7b+5)
8-28b-20
-12-28b(Ans)
60 of the product of one-twelfth y and two-thirds z
Answer:
(.6)(y/12)(2z/3)
yz /30
Step-by-step explanation:
What would the UNIT RATE be for 90 miles in 5 hours be
Answer:
90/5 = 18 mph
can someone help:( if c=5, what is the value of 12-c?
A 5
B 7
D 17
C 60
Answer:
The answer is b
Step-by-step explanation:
here you go mate'
step 1
12-c equation
step 2
12-(5) insert 5 to the equation
step 3
12+(-5) subtract the numbers
answer
7
mind if i get brainliest?
a football coach is trying to decide: when a team is ahead late in the game, which strategy is better?
• play the "regular" defense.
• play a "prevent" defense that guards against long gains but makes short gains easier
the coach reviews the outcomes of 100 games
compare the probability of winning when playing regular defense with the probability of winning when playing prevent defense. draw a conclusion
based on your results.
From analysis, it is seen that the probability of winning when playing regular defense is higher than the probability of winning with *prevent* defence.
How to find the probability of Winning?We will assume that a total of 100 games were reviewed.
50 games used regular defense method.
The remaining 50 games used the prevent defense method.
Out of the 50 regular defense games, 38 were win while 12 games were lose.
Out of 50 prevent defense game, 29 were win, while 21 games were lose.
Thus, the Probability of winning by regular defense is:
P(win | regular) = 38/50
P(win | regular) = 0.76
Probability of winning by playing prevent defense is:
P(win | prevent) = 29/50 = 0.58
From the above analysis we observe that the probability of winning by using the regular defense method is greater than the probability of winning by prevent defense method.
That is 0.76 > 0.58.
Read more about Probability of Winning at: https://brainly.com/question/24756209
#SPJ1
I need help whoever answers this question will be the brainliest!!!
2347800 in scientific notation
Answer:
2.3478 x 10^6
Step-by-step explanation:
Is (-2,-3) a solution of the graphed system of inequalities? yes or no
Answer:
yes
Step-by-step explanation:
Angela baked 5 batches of lemon sugar cookies with 17.5 cups of flour. She also made 3 batches of vanilla cookies using 11.25 cups of flour. Which type of cookies required more flour per batch?
Mateus created a matrix using the elements below. What type of matrix did Mateus create? a diagonal matrix a square matrix a zero matrix an identity matrix
Answer:
B. a square matrix
Step-by-step explanation:
Because diagonal matrix are those matrix having non zero elements only on diagonal and rest all are zero.
Square matrix are those having number of rows equal to number of columns.
Zero matrix is a matrix having all elements equals to zero.
Identity matrix are those matrix having one only on diagonal and rest all elements are zero.
It would take Charlene and Gina 18minutes to organize Chinese comic book collection if they work together do you know works alone it would take her 15 minutes longer than it would take Charlene working alone when X represents the number of minutes it takes Charlene to organize her comic book collection working alone the situation is represented by this equation
Answer:
the answer is x=-9
Step-by-step explanation:
Which is a correct first step for solving this equation-5(4x-7)+=3x
Answer:
Start by multiplying -5 by 4x and -7.
Answer:
Changing the equation to -20x+35=3x
Step-by-step explanation:
You would multiply each number in the parenthesis by -5
Hope this helps :)
A) 8 dogs for every 5 cats
B) S1.25 per song
c) lap per minute
60 students
D)
2 classes
15 players
E)
1 team
F) 4 cups per 2 batches
А.
ОВ.
D.
а Е
F
Answer:
I will answer but I need the question
Step-by-step explanation:
Verify the identity.
Tanx^2/secx= sinxtanx
Please answer this :) I will give brainliest, I’m struggling big time
Answer:
from left hand side:tan^2/secx=(,sin^2x/cos^2x)/(1/cosx)=sin^2x/cosx=sinx×sinx/cosx=sinx.tanx=right hand side.verified.
The perimeter of Square three is 20.4 square units in the perimeter of square two is 27.2 square units what is the area of square one
Answer:
a=554.88
Step-by-step explanation:
20.4*27.2=
1) Which set contains only values that satisfies the given inequality?
14 > x - 7
A: (28, 10, 0)
B: (15, 0, 1)
C: (28, 42, 80)
D: (29, 14, 0)
Answer:
B
Step-by-step explanation:
After a tax of 7% is applied, the total cost of an item is $34.24. Which of the following
equations could you use to find the original price, p?
34.24 1.07=p
O 34.24*0.93-p
01.07p=34.24
O 0.93p-34.24
Please help fast!!!
Answer:
Step-by-step explanation:
do it your self
just know its not b.....
if i start my online classes at 8:02 am and end at 11:55 am how long am i doing my classes for?
Answer:3 hours and 53 minutes
Step-by-step explanation:
11 - 8 is 3.
55- 2 is 53.
The time is 3 hours and 53 minutes
Use the quadratic formula to solve the equation.
2x2 – 7x - 3=0
Enter your answers, in simplified radical form, in the boxes
Step-by-step explanation:
2x² - 7x - 3 = 0, where a = 2, b = -7, c = -3.
By the Quadratic formula,
x = [-b ± √(b² - 4ac)] / 2a
x = (7 ± √73) / 4.
More slope number 5 thank you
Answer:
5/3 or 1.666
Step-by-step explanation:
m is 5/3 or 1.66 as a decimal
m＝((y2-y1):(x2-x1))
Solve for x!!
1) x + 2(1.5x - 6) = 16
A) 4.25
B) 6
C) 6.5
D) 7
35-284+4578567-32eye
Answer:
4578286
Step-by-step explanation:
35-284+4578567-32 = 4578286
hope this helps...
help me lollllllllll!!!!!
Answer: (3, -4)
Step-by-step explanation:
x = 3
y = -4
27 red markers to 12 blue markers into a ratio
A mathematics book has 360 pages, of which 50% are on algebra, 20% on geometry and the remainder on arithmetic how many pages are left
Answer:
30% of the pages are arithmetic, or 108 pages
Step-by-step explanation:
50% are on algebra = 180 pages
360 x .5 = 180
20% are on geometry = 72 pages
360 x .2 = 72
30% are on arithmetic = 108
180 + 72 + 108 = 360 pages
50% + 20% + 30% = 100%
how do I simplify 0.83
Answer:
Um...you really don't. You can convert it into fractions and percentages though.
Fraction: 83/100
Percent: 83%
You can't really simplify a decimal that has already been simplified.
Step-by-step explanation:
What groups of people controlled Algeria at one time?
Answer:
Much of the history of Algeria has taken place on the fertile coastal plain of North Africa, which is often called the Maghreb (or Maghrib). North Africa served as a transit region for people moving towards Europe or ... After the fall of the Western Roman Empire, Algeria came under the control of the Vandal Kingdom.
Hope this helps!!
The diagram shows a right-angled triangle.
14 cm
hcm
47°
What is the value of h?
Give your answer correct to 1 decimal place.
Answer:
The diagram shows a right-angled triangle.
14 cm
hcm
47°
What is the value of h?
Give your answer correct to 1 decimal place.
19.1
plz help will give brainly
What is the mean of: 9.6, 2, 4.1, 8, 5.9, 2, 3.7, 6, 7.6?
Group of answer choices
Answer:
5.43333 recurring
Step-by-step explanation: Mean is the average of a set of numbers. That is, the sum of the digits in the set, divided by the number of the digits.
In the question above, we have 9 digits. So we find the sum of the digits divided by 9.
(9.6+2+4.1+8+5.9+2+3.7+6+7.6)/9
48.9/9
5.4333recurring
hope this helped!
Answer:
5.43333
Step-by-step explanation:
9.6+2+4.1+8+5.9+2+3.7+6+7.6=48.9
48.9/9=5.43333
What is the length of the hypotenuse of ABC
Answer:
c＝√(a²+b²)
C is hypotenuse