Answer:
Jesse = 18yrs
Adam = 9yrs
Denise = 6yrs
Step-by-step explanation:
Denise = x
Adam = x+3
Jesse = 2(x+3)
x+x+3+2x+6 = 33
4x+9 = 33
4x = 33-9
4x = 24
x = 6yrs
Substitute :
Denise = 6
Adam = 6+3 = 9
Jesse = 2(6+3) = 2(9) = 18
The sum of two numbers is 9. If one number is subtracted from the other, the difference is −3. Find the two numbers.
Answer:
The numbers are 6 and 3
Step-by-step explanation:
Let the numbers be x and y
So their sum is x + y =9 (EQ. 1)
Their difference is x - y = -3 (EQ. 2)
Solve simultaneously using subtract method.
x-x=0, x is eliminated. y- -y = +2y since -x- is +.
so it is now 2y = 9- - 3:. 2y= 12; dividing both sides by 2. Y=6.
Substitute Y=6 in EQ 1 to find x.
So x + 6=9;. x=9-6 is achieved by collecting like terms. so x=3.
:. Y=6 and x=3. The numbers are 6 and 3
I think I was able to expantiate it well.
Second term of a geometric series is , the limiting sum is 9.
Get the values of first term a and common ratio r.
Answer:
The answer is below
Step-by-step explanation:
Second term of a geometric series is 2, the limiting sum is 9.
Get the values of first term a and common ratio r.
Solution:
A geometric series is in the form:
a + ar + ar² + ar³ + . . . + arⁿ ⁻ ¹
Where a is the first term, n is the nth term and r is the second ratio.
Since the second term of the series is 2, hence:
ar⁽² ⁻ ¹⁾ = 2
ar = 2 (1)
Also, the limiting sum is 9, hence:
a/ (1 - r) = 9
a = 9 - 9r (2)
Substitute a = 9 - 9r in eqn 1:
(9 - 9r)r = 2
9r - 9r² = 2
9r² - 9r + 2 = 0
9r² - 6r - 3r + 2 = 0
3r(3r - 2) -1(3r - 2) = 0
(3r - 1)(3r - 2) = 0
r = 1/3 or r = 2/3
When r = 1/3; a = 9 - 9r = 9 - 9(1/3) = 6
When r = 2/3; a = 9 - 9r = 9 - 9(2/3) = 3
Laura runs 6 miles in 50 minutes. At the same rate,how many miles would she run in 35 minutes?
In 2002, the average price of a new domestic car was $19,126. In 2008, the average price was $28,715. Based on a linear model, what is the predicted average price for 2014? Ston Down
Answer:
The predicted average price for 2014 is of $38,304.
Step-by-step explanation:
Linear model:
In a linear model, the average price increases by the same amount during each period.
In 2002, the average price of a new domestic car was $19,126. In 2008, the average price was $28,715.
In a period of 6 years, the increase was of:
28715 - 19126 = $9,589
Based on a linear model, what is the predicted average price for 2014?
Another period of 6 years, so it will increase by 9589 more. Than
28715 + 9589 = 38304
The predicted average price for 2014 is of $38,304.
a city has 5 cm of snow on the ground before snow storm bonus no sign of the amount of snow on the ground increased by 2 cm in an hour which table shows a smaller 8 or change that When one describes
Answer:
yb
Step-by-step explanation:
Ms. Smith allows her students to choose the mean, median, or mode of their set of test scores to be their final grade. Which measure of center should Erica use to get the highest average if her scores are 80, 90, 70, 60, 90?
Answer:
Mode
Step-by-step explanation:
because 90 is the grade that shows up the most!
I hope I helped :)
Measure of center that Erica should use is mode to get the highest average on her scores.
What is Mean, Median and Mode?For a set of data, mean is the average of all the elements in the data set.
Median is the element in the exact middle when numbers are arranged from smallest to largest or largest to smallest.
Mode is the element which is most repeated.
The given data set is,
80, 90, 70, 60, 90
Mean = (80 + 90 + 70 + 60 + 90) / 5 = 78
To find median, firstly arrange the numbers in order.
60, 70, 80, 90, 90
The middle element is the element in the third place, 80 which is the median.
90 is the only element which appears more than once. So mode is 90.
Mode gives the highest score.
Hence Erica should use mode as the measure of center to get the highest average.
Learn more about Measures of Central Tendency here :
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x+12=31 solve for x i’m in a breakout room i have limited time to finish this
Answer: x=19
Step-by-step explanation:
x=31-12
x=19
A company spent 32% of its annual budget
developing a new machine. What fraction of the
company's budget was spent developing a new
machine?
A. 1/32
B. 5/16
C. 8/25
D. 4/125
Answer:
C
Step-by-step explanation:
To find this answer you simply perform the division and see which one gives you 32
In this case 8/25=0.32 or 32%!
pleasee help me i’ll give you brainliest
Answer:
Step-by-step explanation:
its 4
Answer:
4
Step-by-step explanation:
4 ³ = 64
4 to the negative 2 = 0.0625
so 64× that is 4
........................................................................................
Solve
........................................................................................
Answer:
10 - 15%
Step-by-step explanation:
Just guessing
YALL HEEEEELLLLPPPPP
Which expression is equal to 90 + 60 factored by the greatest common factor ? O A 3(30 + 20) B. 5(18 + 12) C. 10(9 + 6) D. 30(3 + 2) O E 60(1.5 + 1)
Answer:
Step-by-step explanation:
I say D but not sure this time
Answer:The answer is d
Step-by-step explanation:
If you roll a 6-sided die 54 times, what is the best prediction possible for the number of times you will roll an odd number?
and leena comment under please
Answer:
9 times
Step-by-step explanation:
I took 54 and divided it by six and got nine
What is the value of the expression when b=4
Explain why the two triangles below are similar by writing the appropriate similarity theorem. Then find x. Round your answer to the nearest tenth. (example answer ---> SSS,9.2 ---> no spaces)
Answer:
SSS Theorem
[tex]x = 35.7[/tex]
Step-by-step explanation:
Given
The attached triangle
Solving (a) The similarity theorem
The given sides of the triangle are similar.
In other words, they are similar by sides.
Hence, the theorem is: SSS
Solving (b): Find x
To find x, we make use of the following equivalent ratios.
[tex]\frac{14}{25} = \frac{14+6}{x}[/tex]
This gives:
[tex]\frac{14}{25} = \frac{20}{x}[/tex]
Cross multiply
[tex]14 * x = 20 * 25[/tex]
[tex]14 * x = 500[/tex]
Solve for x
[tex]x = \frac{500}{14}[/tex]
[tex]x = 35.7[/tex] -- approximated
12 to 15
Help Gracias
Answer: 13, 14
Step-by-step explanation:
I counted
In ALMN, the measure of ZN=90°, NL = 6.8 feet, and LM = 9.4 feet. Find the
measure of ZL to the nearest tenth of a degree.
Answer:
Step-by-step explanation:
The answer is 43.7
Answer:
43.7
Step-by-step explanation:
HELPPP ASAP!!
A warehouse worker is stacking boxes. The height of each box is 20 centimeters. She cannot stack the boxes higher than 5 feet.
1 inch 2.54 centimeters, 1 foot = 12 inches
What is the maximum number of boxes the warehouse worker can stack? Enter the answer in the box.
boxes
Answer:
I dont know can u explaining more its not clear too much
a1=-3, r= -3, n = 10
Answer:
N =10
Step-by-step explanation:
Triangle ABC is graphed on the coordinate plane, as shown below.
Triangle ABC is dilated by a scale factor of 2 with
a center of dilation at the origin to create triangle
A’B’C’. What are the coordinates of the vertices
of triangle A’B’C’?
Answer:
I believe the answer would be D.
Answer:
D. (4,4), (8,8), (-8,4)
Step-by-step explanation:
We have A (2,2), B(4,4) and C (-4,2)
Dilation by factor of 2: (x,y) => (2x,2y)
A (2,2) => A'(4,4)
B(4,4) => B'(8,4)
C (-4,2) => C'(-8,4)
which of the following values are solutions to the ineuality x-7<5
Answer:
x>12
Step-by-step explanation:
AB is a midsegment of trapezoid DEFG what is x?
Answer:
D. 2
Step-by-step explanation:
DEFG is a trapezoid and AB is its Midsegment.
Therefore,
[tex]AB =\frac{1}{2}(DG + EF) \\ \\ 12 = \frac{1}{2} (5x - 4 + 8x + 2) \\ \\ 12 \times 2= (13x - 2) \\ \\ 24 = 13x - 2 \\ \\ 24 + 2 = 13x \\ \\ 26 = 13x \\ \\ x = \frac{26}{13} \\ \\ x = 2[/tex]
Daija wants trim 3.5centimetes from her hair how should she move the decimal point to convert this number to millimeters
9514 1404 393
Answer:
right
Step-by-step explanation:
1.0 cm = 10. mm . . . . . . the decimal point is moved to the right
3.5 cm = 35. mm . . . . . . the decimal point is moved to the right
3. Determine how many real solutions the quadratic equation has. x2 + 6x + 8
A. One solution
B. Two solutions
C. No solutions
Brooke solved the equation below:
6r = 72
6r − 6 = 72 − 6
r = 66
Is Brooke's solution correct? If the solution is incorrect, explain why it is incorrect and show the correct steps to solve the equation. (5 points)
Answer:
Incorrect because she was supposed to divide 6 on both sides to get the answer of 12.
Step-by-step explanation:
6r = 72
r = 72/6
r = 12
Members of a baseball team raised $1717.75 to go to a tournament they rented a bus for 965.50 and budgeted $44.25 per player for meals determine the number of players the team can bring to the tournament
Answer:
17
Step-by-step explanation:
Answer:12
Step-by-step explanation:
Finish the first diagram so that it represents 4 × x= 15, and the second diagram so that it represents 4+y=15
Answer:
6
Step-by-step explanation:
Find the maximum power of 5 which can divide 49!
Answer:
10
Step-by-step explanation:
Photo for the question I asked a few seconds ago please help
Answer:
9160.88
Step-by-step explanation:
Hope this helps and have a wonderful day!!!
Answer:
A≈9160.88
Step-by-step explanation:
A=πr^2=π·54^2≈9160.88418
Isabella needs to earn at least $300 a week during her summer break to pay for college. She works two jobs, one at a office
that pays $8 an hour and the other tutoring for $16 per hour.
Let x be the number of hours she works at the office and let y be the number of hours she works tutoring. Write an
inequality that models this situation.
Answer: 8x+16y _> 300
Step-by-step explanation:
Hal and Renee play the following game: A bag has 14 tiles in it, , each with a letter from the phrase the probability on it. Hal and Renee take turns drawing a tile, recording the letter, and placing the tile back in the bag. Renee earns a point if she draws a vowel. Hal earns a point if he draws a consonant. They decide that the letter y can be a vowel or a consonant. Which statement best explains whether or not the game is fair?
A) The game is fair because both Hal and Renee will get a point if the letter y is drawn.
B) The game is not fair because the probability of Hal drawing a winning letter is more than the probability of Renee drawing a winning letter.
C) The game is fair because Hal and Renee have the same probability of drawing a winning letter.
D) The game is not fair because the probability of Hal drawing a winning letter is less than the probability of Renee drawing a winning letter.
(SOMEONE PLEASE HELP ME)
Answer:
B
Step-by-step explanation:
There are more consonants in the phrase than vowels so Hal has a better chance of pulling a winning letter. Also, before any tiles have been drawn, Hal has a 9/14 chance of pulling a winning tile while Renee has a 5/14 chance.
Option B is correct.
As given the bag has 14 tiles, each with a letter from the phrase the probability on it.
What is probability?
Probability is nothing but the ratio of number of favorable outcome and total number of outcomes.
Now,
As we know a phrase always consist of vowels and consonants and the number of consonants is always greater than vowels.
Therefore, Hal has better chance of pulling a willing letter. Also before any tiles have been drawn, so Hal has a 9/14 chance of pulling a winning tile while Renee has a 5/14 chance.
Hence, option B is the correct option.
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