Jaime is three years younger than his brother Keegan. In five years, the sum of their ages will be thirty-nine.
How old are they now?
Answer:
Keegan is 16 and Jamie is 13.
Step by Step Explanation:
So if we were to take the number 39 and divide it by 2, we would get 19.5. Since Jaime is 3 years younger, we would subtract 3 from one of the 19's. Then we would add 1.5 to both of the numbers since that 3 we subtracted has to go somewhere in that 39, and we come up with the numbers 21 and 18. Since it is asking how old they are NOW and not in the future, we subtract 5 from both numbers to account for the 5 years, and we end up with the years 16 and 13.
Math:
39÷2 = 19.5
19.5 19.5
-3
___________
16.5 19.5
+1.5 +1.5
___________
18 21
-5 -5
13 16
allison made a playlist that included 9/12 country songs. what are two equivalent fractions that represent the part of the play list that is country songs. explain why your fractions are correct?
Answer:
3/4,18/24
Step-by-step explanation:
You can mutiply the numerator and denominator by the same number or divide it by the same number as long as it is a whole number. Ex. (9/3) over (12/3)=3/4. Or (9x2)/(12x2)=18/24
13. Jay has 12 classic cars in his garage. He paid
$3,500 for each car 5 years ago. The cars are
currently worth $4,200 each. How much more
must the average value of the cars rise for the
combined value of these 12 cars to be exactly
$10,800 more than Jay paid for them?
A. $200.00
B. $700.00
C. $800.50
D. $ 841.67
E. $958.33
(May need worked out, please!?)
Answer:
I believe the answer would be A. $200.00
Step-by-step explanation:
This is because if jay has 12 cars that he paid 3,500$ each for, the total cost would have been $42,000.
And the current price is 4,200$ for each car.
If you add 200$ to each 4,200$ car, you get 4,400$
After, you take the amount for each car (4,400) and multiply it by 12 (the amount of cars purchased) and you get 52,800.
You then need to subtract the recent cost of 12 cars (52,800) by 42,000$ (the original cost for 12 cars) and you will get $10,800.
52,800-42,000=10,800
therefore, A.$200.00 would be the correct answer
I'm not sure if all calculations are correct, but I hope this helps! :)
The average value of the cars must rise by $200 for the combined value of the 12 cars to be exactly $10,800 more than what Jay paid for them. Therefore, the correct answer is A. $200.00.
To find out how much more the average value of the cars must rise for the combined value to be $10,800 more than what Jay paid for them, we need to calculate the difference between the current combined value and the total price Jay paid, and then divide it by the number of cars.
Given:
Number of cars (n) = 12
Price Jay paid for each car (P) = $3,500
Current worth of each car (W) = $4,200
Total price Jay paid (T) = n * P = 12 * $3,500 = $42,000
Current combined value of the cars (C) = n * W = 12 * $4,200 = $50,400
Difference in value = C - T = $50,400 - $42,000 = $8,400
Additional increase needed = $10,800 - $8,400 = $2,400
To find the average increase needed per car, we divide the additional increase by the number of cars:
Average increase per car = Additional increase / Number of cars = $2,400 / 12 = $200
Therefore, the average value of the cars must rise by $200 for the combined value of the 12 cars to be exactly $10,800 more than what Jay paid for them.
The correct answer is A. $200.00.
To know more about average value, refer here:
https://brainly.com/question/32515383
#SPJ2
Does 28/4 have a remainder
Remainder=0
Quotient=7
Thanks!!
Simplify the square root of 5 times the cube root of 5.
I know the answer is, five to the five sixths power but I would like to know the steps to solve it.
Please help me with it, I'm not doing so well right now, and I need help.
Answer:
Step-by-step explanation:
three hundred two times one hundred fifty three
302×153
Answer:
46,206
Step-by-step explanation:
simple math
Answer:
the answer is 46,206
Step-by-step explanation:
Good luck!!!!
Windstrong has an elevation of -28.7 feet, and Kennington has an elevation of 28.7 feet. Which of the following is true?
A.
Windstrong's elevation < Kennington's elevation
B.
Windstrong's elevation = Kennington's elevation
C.
Windstrong's elevation > Kennington's elevation
Answer:
b
Step-by-step explanation:
Translate the phrase into an algebraic expression: 12acorns per qsquirrels?
Answer:
12/q acorns/squirrel
a plane flies 5.0km due north from a point O and then 6.0km on a bearing of 060° the pilot then changes course on a bearing of 120° for 4.0km. find how far and in what direction the plane is from the starting point?
The plane flies a distance of approximately 10.536 kilometers in straight line and with a bearing of approximately 035°.
A plane that travels a distance [tex]r[/tex], in kilometers, with a bearing of [tex]\theta[/tex] sexagesimal degrees can be represented in standard position by means of the following expression:
[tex]\vec r = r\cdot (\sin\theta, \cos \theta)[/tex] (1)
We can obtain the resulting vector ([tex]\vec R[/tex]) by the principle of superposition:
[tex]\vec R = \Sigma_{i=1}^{n} [r_{i}\cdot (\sin \theta_{i}, \cos \theta_{i})][/tex] (2)
If we know that [tex]r_{1} = 5\,km[/tex], [tex]\theta_{1} = 0^{\circ}[/tex], [tex]r_{2} = 6\,km[/tex], [tex]\theta_{2} = 60^{\circ}[/tex], [tex]r_{3} = 4\,km[/tex] and [tex]\theta_{3} = 120^{\circ}[/tex], then the resulting vector is:
[tex]\vec R = 5\cdot (\sin 0^{\circ}, \cos 0^{\circ}) + 6\cdot (\sin 60^{\circ}, \cos 60^{\circ}) + 4\cdot (\sin 120^{\circ}, \cos 120^{\circ})[/tex]
[tex]\vec R = (5\sqrt{3}, 6) \,[km][/tex]
The magnitude of the resultant is found by Pythagorean theorem:
[tex]\|\vec R\| = \sqrt{R_{x}^{2}+R_{y}^{2}}[/tex]
And the bearing is determined by the following inverse trigonometric relationship:
[tex]\theta_{R} = \tan^{-1} \left(\frac{R_{y}}{R_{x}}\right)[/tex] (3)
If we know that [tex]R_{x} = 5\sqrt{3}\,km[/tex] and [tex]R_{y} = 6\,km[/tex], then the magnitude and the bearing of the resultant is:
[tex]\|\vec R\| = \sqrt{(5\sqrt{3})^{2}+6^{2}}[/tex]
[tex]\|\vec R\| \approx 10.536\,km[/tex]
[tex]\theta_{R} = \tan^{-1} \left(\frac{6}{5\sqrt{3}} \right)[/tex]
[tex]\theta_{R} \approx 34.715^{\circ}[/tex]
The plane flies a distance of approximately 10.536 kilometers in straight line and with a bearing of approximately 035°.
To learn more on vectors, we kindly invite to check this verified question: https://brainly.com/question/21925479
a box 4cm by 6cm by 8cm is painted on all six faces and then cut into cubes with the 2 cm sides. how many oof these cubes have only one side painted?
Answer:
hola saludos desde kansas city
how many degrees is 37 degrees warmer than -13
how many is 38 degrees warmer than -20
Answer:
98.6° Fahrenheit ( i did it in celsius sorry if i got it wrong)
Step-by-step explanation:
(8,4) and has a slope of 5/2
help me please guys im being times and trying to get this done fast!
Answer:
C.
Step-by-step explanation:
You're trying to figure out how many more hours he needs to work in order to have worked for 240 hours.
A test has twenty questions worth 100 points. The test consists True/False questions worth 3 points each and multiple choice questions worth 11 points each. Howmany multiple choice questions are on the test?
Multiple choice questions = 5
True questions = 15
Given that:
Total number of questions = 20
Total worth of point = 100
Multiple choice questions (M) = 11 points each
True false questions (T) = 3 points each
Hence,
M + T= 20 ____(1)
11M + 3T = 100 ____(2)
M = 20 – T
Using the relation in (2)
11(20 – T) + 3T= 100
220 – 11T + 3T= 100
220 – 8T = 100
-8Tf = 100 – 220
-8T = – 120
T = 120/8
T = 15
Mc = 20 – 15
Mc = 5
Multiple choice questions = 5
True false questions = 15
Create your own example for each cases of multiplying
polynomials
Case 1: Distributive Property
Case 2: FOIL Method
Case 3: Binomial to Polynomial
Pls needed badly
If you have nothing to answer dont answer
Step-by-step explanation:
CASE 1:2x(3x+7) = 6x^2+14x.CASE 2:(2x + 3)(3x – 1)CASE 3:x2 + 4xpls help... I need to write some words to post this
Answer:
k=100, n=3, 1.5625, 10
Step-by-step explanation:
To find n and k, we can plug x and z in.
First we can try this for (1,100). We will get:
[tex]100=\frac{k}{1^{n} }[/tex]
Since 1 to any power is 1, we can assume that the denominator is 1 and therefore k=100.
Armed with k=100, we can plug numbers into the second equation.
[tex]12.5=\frac{100}{2^{n} }[/tex]
Moving [tex]{2^{n} }[/tex] to the left side, we get:
[tex]2^n=\frac{100}{12.5} }=8[/tex]
therefore we can solve and we see that n=3.
We can do the same for x=4, but since we have n, k, and x, we can plug these in to get z
[tex]z=\frac{100}{4^{3}} =1.5625[/tex]
We will do the same as previous but instead plug in x
[tex]\frac{1}{10}=\frac{100}{x^{3} }[/tex]
We isolate [tex]x^{3}[/tex] and get
[tex]x^{3} =1000[/tex]
Therefore x=10
Find the quotient. If possible, rename the quotient as a mixed number or a whole number. Write your answer in the simplest form
3/4 divided by 3
Step-by-step explanation:
3/4 ÷ 3
recall that the inverse of division is multiplication
=3/4 x 1/3
=1/4
QUESTION 7
Find the slope of the line passing through the points (8, 3) and (9,7).
A. 4
B. -4
C. 1/4
D. -1/4
I got the X and Y wrong, its 4. Sorry! mark the other answer instead
Reason:
9 - 8 = 1
7 - 3 = 4
Because that 7 and 3 are Y, 4 goes over. so it makes a whole number
Answer:
A. 4
Step-by-step explanation:
yeah-ya............. right?
Put these fractions in order from greatest to least:
Answer:
[tex]\dfrac 34 , \dfrac 23 , \dfrac 35[/tex]
Step-by-step explanation:
[tex]\dfrac 34 >\dfrac 23 >\dfrac 35[/tex]
May someone help me with this please?
Answer:
the first one
Step-by-step explanation:
plz give brainliest
which expression represents 100 less than 3 times the sum of 18 and 2
Answer: 3 times (18+ 2) - 100
3 (18+2) - 100 = -40
Step-by-step explanation:
What is 5/8 divided by 1/4
Answer:
the answer should be 2.5
Step-by-step explanation:
when divided 5/8 u get 0.625 and when u divided 1/4 u get 0.25 and u divided both answer u get 2.5
Please Help I am giving many points!
Answer:
D
Step-by-step explanation:
n = 5
an = 176
an = a1*x^(n -1)
a5 = a1 * x^4 = 176
a7 = a1 * x^6 = 704
a7/a6 = a1 * x^6 / a1*x^4 = 704 / 176
Cancel out a1
x^6/x^4 = 704/176 Divide numerator and denominator by 176
x^2 = 4 Take the square root of both sides
x = 2 or - 2
176 = a1 * x^4
176 = a1 * 16
a1 = 11
a1 is going to be 11 whether x is 2 or minus 2.
hi mallllll. hehehe
once again its [tex]a_{1} = -11[/tex]
-12/5+3/10/11/14-(-9/14)
Answer:
-6/5
Step-by-step explanation:
I hope it helps, bye
[tex]6 \times 2[/tex]
please I need ur help
Answer:
12
Step-by-step explanation:
You do 6+6, or 2+2+2+2+2+2=12
-7(-2 ( 3x+1)+ 4) +9
Answer:
correct answer is explained in the picture attached
3 divided by 4 1/2 write in simplest form
[tex]3 \div 4 \frac{1}{2} \\ = 3 \div \frac{9}{2} \\ = 3 \times \frac{2}{9} \\ = \frac{2}{3} [/tex]
Answer:
[tex] \frac{2}{3} [/tex]
Hope you could get an idea from here.
Doubt clarification - use comment section.
Set A = 3, 4, 7
Set B = 4, 8, 9
What is the union of sets A and B?
Answer:
Step-by-step explanation:
A∩B = 4
solve the inequality z + 9 > 6 z > ?
( Equations and Inequalities )
Answer:
You have to switch sides so the answer is x<z+9
Step-by-step explanation:
Mrs. Goldstein pours 3 juice boxes into a bowl to make punch each juice box hold 236 ml how much juice it does Mrs.Goldstein pour into the bowl
708 ml
When each box contains 236 ml of juice and she pours three boxes into the bowl, you need to multiply 236 by 3. After completing the calculation, you would get 708.