Answers
Answer:
1. Their ages are:
Steve's age = 18
Anne's age = 8
2. Their ages are:
Max's age = 17
Bert's age = 11
3. Their ages are:
Sury's age = 19
Billy's age = 9
4. Their ages are:
The man's age = 30
His son's age = 10
Step-by-step explanation:
1. We make the assumption that:
S = Steve's age
A = Anne's age
In four years, we are going to have:
S + 4 = (A + 4)2 - 2 = 2A + 8 - 2
S + 4 = 2A + 6 .................. (1)
Three years ago, we had:
S - 3 = (A - 3)3
S - 3 = 3A - 9
S = 3A - 9 + 3
S = 3A – 6 …………. (2)
Substitute S from (2) into (1) and solve for A, we have:
3A – 6 + 4 = 2A + 6
3A – 2A = 6 + 6 – 4
A = 8
Substitute A = 8 into (3), we have:
S = (3 * 8) – 6 = 24 – 6
S = 18
Therefore, we have:
Steve's age = 18
Anne's age = 8.
2. We make the assumption that:
M = Max's age
B = Bert's age
Five years ago, we had:
M - 5 = (B - 5)2
M - 5 = 2B - 10 .......................... (3)
A year from now, it will be:
(M + 1) + (B + 1) = 30
M + 1 + B + 1 = 30
M + B + 2 = 30
M = 30 – 2 – B
M = 28 – B …………………… (4)
Substitute M from (4) into (3) and solve for B, we have:
28 – B – 5 = 2B – 10
28 – 5 + 10 = 2B + B
33 = 3B
B = 33 / 3
B = 11
If we substitute B = 11 into equation (4), we will have:
M = 28 – 11
M = 17
Therefore, their ages are:
Max's age = 17
Bert's age = 11.
3. We make the assumption that:
S = Sury's age
B = Billy's age
Now, we have:
S = B + 10 ................................ (5)
Next year, it will be:
S + 1 = (B + 1)2
S + 1 = 2B + 2 .......................... (6)
Substituting S from equation (5) into equation (6) and solve for B, we will have:
B + 10 + 1 = 2B + 2
10 + 1 – 2 = 2B – B
B = 9
Substituting B = 9 into equation (5), we have:
S = 9 + 10
S = 19
Therefore, their ages are:
Sury's age = 19
Billy's age = 9.
4. We make the assumption that:
M = The man's age
S = His son's age
Therefore, now, we have:
M = 3S ................................... (7)
Five years ago, we had:
M - 5 = (S - 5)5
M - 5 = 5S - 25 ................ (8)
Substituting M = 3S from (7) into (8) and solve for S, we have:
3S - 5 = 5S – 25
3S – 5S = - 25 + 5
-2S = - 20
S = -20 / -2
S = 10
Substituting S = 10 into equation (7), we have:
M = 3 * 10 = 30
Therefore, their ages are:
The man's age = 30
His son's age = 10
Related Questions
Which graph best represents the equation y= 2/5x + 3
Answers
Answer:
I it is the one on the bottom.
Step-by-step explanation:
Kenia rotated Triangle ABC 90° counterclockwise to create Triangle A’B’C’. If Kenia performed this transformation correctly, what is the measure of angle B'? What is the measure of angle A and C. Number value only. URGENT
Answers
Answer:
B' = 105°
C = 27°
A = 48°
Step-by-step explanation:
Given
B = 105°
C = (2x - 3)°
C' = (5x - 48)°
Rotation = 90°
Before solving the requirements of this question, it should be noted that rotation do not change the angle of shapes.
i.e. an angle retain its measurements pre and after rotation.
Solving (a): The measurement of B'
Using the analysis above.
B' = B
Recall that
B = 105°
So:
B' = 105°
Solving (b): A and C
First, I'll solve for C.
Using the same analysis above.
C = C'
Substitute values for C and C'
5x - 48 = 2x - 3
Collect like terms
5x - 2x = 48 - 3
3x = 45
Multiply both sides by ⅓
⅓*3x = ⅓*45
x = 15
Substitute 15 for x in
C = (2x - 3)°
C = 2 * 15 - 3
C = 30 - 3
C = 27°
Solving for A
The sum of angles (A, B and C) is represented as:
A + B + C = 180
Substitute values for B and C
A + 105° + 27° = 180°
A + 132° = 180°
Collect like terms
A = 180° - 132°
A = 48°
find the amount accumulated after investing a principal P for t years at an interest rate compounded k times per year .
Answers
Answer:
A = $2,122.20
Step-by-step explanation:
A = P(1 + r/k)^kt
Where,
A = future amount
P = principal = $1,500
r = interest rate = 7%
k = number of periods compounded = 4
t = years = 5 years
A = P(1 + r/k)^kt
= 1,500 (1 + 0.07/4)^4*5
= 1,500 (1 + 0.0175)^20
= 1,500 (1.0175)^20
= 1,500 (1.4148)
= 2,122.20
A = $2,122.20
6464 is 444 times the difference between Sarah's age, aaa, and 444444. Assume Sarah is older than 44
Answers
Answer:
60 years
Step-by-step explanation:
Given that :
Sarah's age = a
Assume Sarah is older than 44 ; then a > 44
64 = 4 times difference between a and 44
Expressing the problem mathematically ;
64 = 4 * (a - 44)
64 = 4a - 176
64 + 176 = 4a
240 = 4a
a = 240 / 4
a = 60
Hence, Sarah is aged 60
Amit’s school bus travelsat 36km/hr and Sushma’s school bus travels at 11 m/s. Whose school bus is faster ?
Answers
Answer:
This answer is not originally mine so Don give me credit
Step-by-step explanation:
Amit's school bus in m/s will be
36×1000/3600
36 × 10/36
= 10 m/s
While sushma's school bus has speed of 11 m/s
so sushma's school bus is faster than Amit's school bus
Answer:
Amit's: 10 m/s
Sushma's 11 m/s
Step-by-step explanation:
Amit's:
36 x 1000/3600
36 x 10/36
Sushma's:
11 m/s
Sushma's school bus is faster than Amit
A five year old child receives an allowance of $1 each week. His parents promise him an annual increase of $2 per week. Write a formula for the child's weekly allowance in a given year.
Answers
A large pot of water is heating up on a stove at a constant rate. After three minutes of heating it had a temperature of 100 ℉. After nine minutes of heating the temperature was at 148 ℉. Let T be the temperature and n be the number of minutes. Write a linear equation for T in terms of n.
Answers
Answer:
Given function:
y=9.5x+62.1
We have to find the number of minutes x, when y=138.1°F
Put value of y in function.
138.1=9.5x+62.1
Subtract 62.1 from both sides.
76=9.5x
Divide both sides by 9.5.
8=x
or
x=8 minutes
Answer: After 8 minutes the temperature of water will be 138.1°
Step-by-step explanation:
Answer:
T= 8n+76
Step-by-step explanation:
First you need to find the average rate of change:
( 3, 100)
(9,148)
Subtract:
148-100= 48
9-3= 6
Then divide them:
48/6=8
This is your slope, now we must find our y- intercept by using the formula
y= mx+b:
y=mx+b
Plug in what you know:
y= 8x+b
To find your y-intercept use one of the 2 points above, either (3,100) or (9,148)
Plug in your x's and y's into your almost complete equation:
100= 8(3)+b
Then solve to get b:
You should get b=76
Hope this helps
Question 3 (1 point)
What is the area of the triangle?
L2FwcGhvc3RpbmdfcHJvZC9ibG9icy9BRW5CMlVxbGczRkROT2hUWkF0YnNTM0JMYU5oVGExbk1YRks3ZkxiMWN6Qk9ITjU0dndJTzZvVUo5Nk5BbjkxLUVERERYdEFaSUFST1gweVpTQUc2X2lhQTY3WV9tdVhxTVVyRENXVHJxREVqbVpsNDJJQ2U2RS5HTkpidkQwNDlZang1OFNk?w=400&h=400
a
30 units squared
b
25 units squared
c
11 units squared
d
15 units squared
Answers
Answer:
d: 15 units squared
Step-by-step explanation:
The area of a triangle is [tex]\frac{b*h}{2}[/tex]:
Base: 5Height: 6Area: (5•6)/2=30/2=15Find the coordinates of the point P that divides the directed line segment from A to B in the given ratio.
A(-6, 9), B(2, 1); Ratio 5 to 3
Answers
Answer:
P(-11 , 14)
Step-by-step explanation:
Explanation:-
Given points A(-6, 9), B(2, 1); Ratio 5 : 3
The Point P divides the directed line segment from A to B in the given ratio Externally
5 : 3
A( -6,9) B(2,1)
we will use formula
= [tex](\frac{5(1)-3(9) }{5-3} ,\frac{5(2) -3(-6)}{5-3})[/tex]
= [tex](\frac{5-27}{2} , \frac{10+18}{2} ) = (-11 , 14)[/tex]
The point P( -11 ,14) divides the directed line segment from A to B in the given ratio Externally
Jennifer has 1.7 liters of lemonade. If she pours 3 tenths of lemonade into a glass how many liters of lemonade are in the glass?
Answers
Determine the value of x pleaseee
Answers
Answer:
33
Step-by-step explanation:
A tank is 4/5 full of water after drawing
off 190 liters,5 liters of water
is just 1/6 full .what is the capacity of the tank
Answers
Explanation:
(4/5)L
t - 190 = (1/6)L
---
(4/5)L - 190 = (1/6)L
(24/30)L - (5/30)L = 190
(19/30)L = 190
L = 190(30/19)
multiple of 2 and 5 which is 2 more than the third multiple of 6
Plz with steps..
Answers
Answer:
20
Step-by-step explanation:
the third multiple of 6 is 18
20 = 2+18
and it's also a multiple of 2 and 5
Answer:
5x2 -2
Step-by-step explanation:
when you times 2 and 5 it gives you ten when you minus it by 2 you get eight so six plus two equal to eight so that is your answer my friend
Answer this question correctly and I will give you brainlyist, 5.0 rating, and thanks. The question that you need to answer is in the screenshots below.
Answers
Answer:
so it should be D because after you check them all D is the only one that the watch would actually cost $50- sorry for the confusing ecplanation but im like 99.99999% sure its right
Step-by-step explanation:
Ellen bought 18 boxes of paper clips. Each box had 150 paper clips. How many paper clips did Ellen buy
Answers
Answer:
Ellen bought 2700 paper clips.
Step-by-step explanation:
Total boxes=18
Paper Clips in 1 box=150
Total paper clips=18×150
=2700
Answer:
ellen bought 2700 paper clips
Step-by-step explanation:
total paper clips in a box = 150
total boxes = 18
multiplication = 150×18=2700
i will give brainliest to whoever answers thiss!!
Answers
Answer:
y=3
Step-by-step explanation:
-5y=-11-4
-5y=-15
y=-15/-5
y=3
Hope this helps u...
Answer:
y=3
Step-by-step explanation:
Is this wrong?
Factorize x^2+3x+2
x^2+2x+x+2
x(x+2)+x+2
(x+2)(x+2)
if wrong please correct.
Help!
Answers
Step-by-step explanation:
The last step is a little wrong. Lemme show you:
x(x + 2) + (x + 2)
Imagine there is an invisible '1' infront of (x + 2) like this:
= x(x + 2) + 1(x + 2)
Now we can combine the like terms together:
= (x + 1)(x + 2)
This is the correct factorization.
76763476-2345-345-324-23+5324+345234÷6847397475287365x3789127482297547 85345455345325234-345325+32453892727-2566663487296236582345x54287395 79238365379245÷97438528453492= what
Answers
Answer:
−1.43000372×[tex]10^{29}[/tex]
Step-by-step explanation:
76763476-2345-345-324-23+5324+345234÷6847397475287365x3789127482297547 85345455345325234-345325+32453892727-2566663487296236582345x54287395 79238365379245÷97438528453492= what
76763476-2345-345-324-23+5324+(1.91041289x[tex]10^{22}[/tex])-345325+32453892727-(1.43000391x[tex]10^{29}[/tex])
76765763+(1.91041289x[tex]10^{22}[/tex])-345325+32453892727-(1.43000391x[tex]10^{29}[/tex])
−1.43000372×[tex]10^{29}[/tex]
Answer:
It is a mystery to me
Step-by-step explanation:
Which expressions are equivalent to 6a(5+d) ?
Select each correct answer.
30a+6ad
30ad
30a+(6a⋅d)
(6a⋅5)+(6a⋅d)
11a + d
Answers
Answer: A is correct i think
Step-by-step explanation: 6a x 5 = 30a
6a x d = 6ad
Answer:
A
Step-by-step explanation:
Q. There are 42 teachers that work in a school. On Friday, 29 teachers were present What
percent of the teachers showed up for work?
Answers
Answer:
69%
Step-by-step explanation:
What is 2-1x(57\7) ?
Answers
Answer:
2 - [tex]\frac{57}{7}[/tex]x
Step-by-step explanation:
2-1x(57/7)
2 - [tex]\frac{57}{7}[/tex]x
i am not sure
look at the screenshot for question
Answers
Answer:
X equals 3 y equals 1
Step-by-step explanation:
15x 5 y
E: I’m really like chicken that oil
Solve for y.
a.14
b.12
c.13.9
d.10.4
Answers
Answer:
the answer is y, I just took the test
use mathematical language to decribe three different patterns in the following triangle.
Answers
Answer:
What's the triangle though?
Step-by-step explanation:
Answer:
Not enough Data
Step-by-step explanation:
Of the relations graphed below, three are functions and one is not.
Which of the relations is NOT a function?
a. Graph A
b. Graph B
c. Graph C
d. Graph D
Answers
Answer:
Graph B
Step-by-step explanation:
the line is at some point perpendicular to the y-axis, there is no unique y value for this x value, which contradicts the definition of a function.
What is the next term in this arithmetic sequence?
11, 8, 5, 2,...
0-3
06
05
Answers
Answer: the next term is -1
What is the sin value of 5pi/3
Answers
Answer:√(3)/2
hope that helped you:)
please make my answer brainiest as im trying get 4 brainiest answers
Solve for m
18 - 4m = 6 - 16m
Answers
Answer:
m = -1
Step-by-step explanation:
18 - 4m = 6 - 16m
18 - 6 = 4m - 16m
12 = -12m
m = 12 / -12
m = -1
This probability distribution shows a typical grade distribution for a geometry course with 35 students. Find the probability that a student earns a grade of B or C. PLEASE HELPPP
Answers
Answer:
0.71
Step-by-step explanation:
You basically add both amount of students that earned a B or C
After doing that you should get 25 in total, therefore leaves you with 25/35
Divide and you basically get your answer
0.71
Answer:
.71
Step-by-step explanation:
1. Luis wants to buy Jordans for 75.23. He saves 10.27 per month. Write an equation to solve how many months he'll need to save. Use x for the variable and do not have any spaces.
2. Jovie earns $8.25 for the hours that she is at work. This week she earned $288.75. Write an equation to solve how many hours she worked. Use x for the variable and do not have any spaces. Pls help :(
Answers
Answer:
Chicken nugget
Step-by-step explanation: