Answer:
father's age = 86
son's age = 48
Step-by-step explanation:
86-10=76
48-10=38
38*2 = 76
Answer:
father: 86son: 48Step-by-step explanation:
You can use your number sense to reason your way through this problem, or you can write equations for it. If the father is 38 years older than his son, and that makes him twice as old, the son must be 38 and the father 76. This was the condition 10 years ago, so their ages now are ...
father: 86son: 48__
If you prefer to solve a set of equations, you can assign variables f, s, to the father's age and the son's age respectively.
f = s +38 . . . . . . the father is 38 years older than the son.
(f -10) = 2(s -10) . . . . 10 years ago, the father was twice as old as the son
The first equation gives an expression we can use to substitute into the second equation:
s +38 -10 = 2s -20 . . . . substitute for f, eliminate parentheses
48 = s . . . . . . . . . . . add 20-s, collect terms
f = 48 +38 = 86
The father is 86; the son is 48.
_____
Additional comment
An age difference remains the same through the years. It is the same now as 10 years ago or 10 years in the future. A multiplying factor for ages gets smaller as years go by. Someone 3 times as old now will only be 2 times as old at some point in the future, for example.
The difference in ages is a multiple of the younger age that is 1 less than their ratio. In other words, if A is 3 times as old as B, the difference (A-B) is exactly (3 -1)×B = 2B. In the above problem, this was (f-s)=38; f/s=2, so we know 38 = (2 -1)s = s.
The measure of c is ???
y= -x + 1 and y= 2/3x - 4 What is the solution to the system of equations?
Answer:
x=3 /
steps: (For x)
Turn the equation into --> -x+1 = 2/3x-4
Next is the multiply the equation by 3 to make isolating x easier so it becomes --> -3x+3=2x-12
Now arrange the terms to where variables are on a side and constants are on a side
it should look like --> -3×-2x=-12-3
Now combine like terms --> -5x=-15
finally just divide by -5 on both sides
x=3
For y:
substitute X for either of the equations
y=2/3 x 3-4
y=-2
The solution is (3,-2)
how do you explain division in an easy way?
2x - 3 + 3x = -23
solve for x. I woild like a step by step so i can learn how to do it
Answer:
x= -4
Step-by-step explanation:
Step 1: Simplify
2x-3+3x=-23 turns into
5x-3=-21 -- combined like terms
Step 2: Start Solving
5x-3 = -23
+3 +3 -- Getting x alone by adding 3 to cancel it out
5x = -20
/5 /5 -- getting x alone by dividing by 5 to again cancel it out
Step 3: The answer
x = -4
Answere:
x=-4
Step-by-step explanation:
well, if you have the equation 2x-3+3x=-23, The first thing you wanna do is add up the X's so 2x+3x=5x, and then you put the 5x in the equation instead of 2x+3x:
-3+5x=-23
Then you since you have a -3, you should add 3 on BOTH sides of the equal sighn. And when you add 3 and -23 you get -20, so the new equation is:
5x=-20, from there you can tell X=-4
Tell me if you have any questions, and im sorry if the explaination is not thta good, I explain stuff better when i am face to face with someone, Have a good day!
0.83 repeating as a fraction. PLZ help me
Answer:
5/6
Step-by-step explanation:
Answer:
83/100
Step-by-step explanation:
0.83 = 83/100
Since 0.83 is a fraction of 100 (1.0) then it makes sense to turn 0.83 into 83/100.
A definition for insensitive
From the word itself thrives of being not sensitive
Which actually means heartless
Full definition: showing no concern for others
hope I helped :3
I NEED HELP ASAP PLEASE!!!!!
1+1 I DUNNO HOW I AM LEARING I WILL GIVE BRAINISET
Answer:
2
Step-by-step explanation:
if you add 1 + 1 the solution would be 2.
Answer:
The answer is 2.
Step-by-step explanation:
1+1
1+1=2
If you add 1 and 1, it'll give you 2.
NEED HELP! will give brainiest!!
Answer: 62999
Step-by-step explanation: sorry if wrong
What are the x- intercept and the y-intercept of the graph of 6x + 15y = -30?
Answer:
x int: -5
y int: -2
Step-by-step explanation:
Plug in 0 for x to find y intercept. 6(0) + 15y = -30 then you would get 15y = -30. Divide by 15 on both sides. y = -2
Plug in 0 for y to find x intercept 6x + 15(0) = -30 then you would get 6x = -30. Divide 6 on both sides. x = -5
Drew Swanson is an insurance appraiser who earns $48,650 a
year. He is married with no dependents. He pays $1,786 in state incom
taxes. What is the state income tax rate?
Answer:
3.671%
Step-by-step explanation:
[tex]\frac{1786}{48650}[/tex] x 100 =3.671
A car salesman earned $22 an hour and a commission of 3.3% on sales. Find his total earnings in a week when he worked 38 hours and had 65,800 in sales
Answer:
hhhhhhhhhhhhhhhhhhhhhhhhh
Step-by-step explanation:
In parallelogram EFGH, what is the relationship between angle e and angle f?
e° = f°
e° + f° = 180°
e° = -f°
e° - f° = 180°
Answer:
=> e° + f° = 180°
Step-by-step explanation:
we know. that this is a parallelogram .
e° + f° = 180° { because they are adjacent angle and the sum of adjacent angles in a parallelogram is 180°}
Answer:the answer is e° + f° = 180°
Step-by-step explanation:
I got it right
I am stuck please help
Answer:
[tex]x = \frac{z}{y} [/tex]
Step-by-step explanation:
according to the equation in the statement the answer is
=> x = z/y
Which inequality is equivalent to −y<7?
A). Y < 7
B). Y > 7
C). Y > -7
D). Y < -7
Answer:
C) Y > -7
-Y < 7 given
0 < 7 + Y add Y to both sides
-7 < Y subtract 7 from both sides
What is the result of x + 2x - 6 = 21?
Answer:
9
Step-by-step explanation:
x + 2x - 6 = 21
3x - 6 = 21 /+6
3x = 27 /:3
x = 9
Answer:
x = 9
Step-by-step explanation:
Hope that helps!
1) Jessica won 55 pieces of gum playing the
bean bag toss at the county fair. At school
she gave two to every student in her math
class. She only has 3 remaining. How
many students are in her class?
Answer:
26 students
Step-by-step explanation:
55 pieces given - 3 she keeps for herself=52
52÷2pieces each = 26
The measure of the angles of a triangle are shown in the figure below . Solve for x
Answer:
x = 49°
Step-by-step explanation:
Hello! The sum of all angles in a triangle is 180°
64 + 67 = 131
180 - 131 will give you x
180 - 131 = 49° = x
If you need further explanation, let me know!
- profparis
the cost price of a box and a pen is rupees 80 the box is sold at 10% profit and the pen is sold at 10% loss if the selling price of the box is rupees 28 more than that of the pen calculate the profit or loss percent in the whole
2.5%
Step-by-step explanation:[tex]if\ the\ art-rice\ of\ pen\ is\ x\\ so\ the\ toux\ is\ 8v-x\\ then\ (80-x)\bullet1\bullet1-a9\bulletx=28\\ so\ x=30.\\ So\ the\ selling\ price\ of\ box\ is\ RS.5\\ the\ selling\ price\ of\ pen\ is\ R527\\ R55+R_27=R8.2\\ so\ profit\ percent=\frac{R882-R830}{280-}\times100\ percent=2.5\ percent\\ (figure\ out\ their\ individual\ oosts)[/tex]
I hope this helps you
:)
What is the sum of all the positive integers from
√
24
to
√
102
?
Answer:
The sum of all positive integers is
5 + 6 + 7 + 8 + 9 + 10
= 45
Step-by-step explanation:
Because [tex]\sqrt{24} = 4.89[/tex] and [tex]\sqrt{102} = 10.09[/tex]
So positive numbers between 4.9 and 10.09 are
5+6+7+8+9+10 = 45
Brainliest will be appreciated.
i need help for this still
Answer:
Hello!!! Princess Sakura here ^^
Step-by-step explanation:
The ratio of girls to students is choice c, 34:72 because it said girls to students. We already know the total number of students and the number of boys, all we have to do now is subtract the total number of students to the number of boys to get the number of girls, 72 - 38 = 34......and that's it we put the number of girls then the number of students.
Richard and stephen win some money and share in the ratio 2:1 Richard gets £12
find the next three terms in the arithmetic sequence: -3, -8, -13, -18
Answer:
-23
Step-by-step explanation:
Common difference = 2nd term - 1 st term
= -8 - (-3)
= -8 + 3
= -5
To get the next term add (-5) to the previous term
5th term = (-18) + ( (-5) = -23
(x - 3y)(2x + 7y)
What is the answer?
Answer:
Your answer is: 2x^2+xy-21y^2
Step-by-step explanation:
Hope this helped : )
if f(x)=1/2x-12 find f(-12)
Answer:
f(-12)=-18
Step-by-step explanation:
since we are replacing the x for -12 that means we will have the equation f(-12)=1/2(-12)-12 which would give us f(-12)=-6-12 which would equal -18 so the answer for f(-12) is -18
what is it in simplist form 4/15+1/9
4/15 + 1/9 = 12/45 + 5/45 = 17/45
work through these two problems 1)7-?=3.4567 and 2)6.9999-?=3.4567
how can problem 2 help you solve problems1?
Answer:
Give students up to 1 minute to think about the first question and then ask them to ... The first two problems aim to help students
Step-by-step explanation:
15. A rectangle has a perimeter of 120 inches and a length of 37 inches. What is the width of the rectangle?
Two fifth of a certain number is 30 what is the number?
- - - - - - - - - - - - - - - - - - - - - - - -
Beginning with an "If-then" statement ⇣
If 2/5 = 30 then 1/5 = 15
Now we have 1/5, let's make it 1 by multiplying x5.
15 x 5 = 75
- - - - - - - - - - - - - - - - - - - - - - - -
Good luck! :)
~pinetree
e
goes bowling.
He has $25.00 to spend.
• He spends $4.25 to rent shoes.
He spends $2.50 for each game he bowls.
Which inequality can Manny use to determine x, the greatest number of games
he can bowl?
А
2.5 + 4.25x > 25
В
4.25 +2.5x > 25
С
2.5 + 4.25x < 25
D
4.25 +2.5x < 25
Answer:
4.25 + 2.50x < 25
Step-by-step explanation:
Note:
< → Less than
> → Greater than
Manny can't spend more than $25 and you pay an initial fee of 4.25 for the shoes and 2.50 for each game so the inequality would be
[D] $4.25 + 2.50x < 25.
~Lenvy~
What is the answer to this.
100+100+20+1 in stranded form.
Answer: 221 in standard form hope this helps
Step-by-step explanation: