Answer:
Son's age = 24 years
Man's age = 48 years
Step-by-step explanation:
Let's take the age of son as x
Man's age = 2x
Twelve years ago,
Son's age= x-12
Man's age= 2x-12
Man is three times as old as his son so,
[tex] \frac{2x - 12}{x - 12 } = \frac{3}{1} [/tex]
Solving for x,
2x-12(1) = x-12(3)
2x-12 = 3x-36
2x-3x = -36+12
-x = - 24
x = 24
So if we substitute the values we get,
Son's age = 24 years
Man's age = 48 years
Hope you understand :)
Step-by-step explanation:
[tex] \underline{ \underline{ \text{Solution}}} : [/tex]
Let the present age of father be ' x ' years and that of the son be ' y ' years. From the first condition ,
x = 2y ••••••• equation ( i )From the second condition ,
x - 12 = 3 ( y - 12 ) ••••• equation ( ii )Substituting the value of x from equation ( i ) in equation ( ii ) :
[tex] \sf{2y - 12 = 3(y - 12)}[/tex]
Solve for y ( age of the son ) :
⟿ [tex] \sf{2y - 12 = 3y - 36}[/tex]
⟿ [tex] \sf{2y - 3y = - 36 + 12}[/tex]
⟿ [tex] \sf{ - y = - 24}[/tex]
⟿ [tex] \sf{y = 24}[/tex]
Now , Substituting the value of y in equation ( i ) , we get :
[tex] \sf{x = 2 \times 24}[/tex]
⟿ [tex] \sf{x = 48}[/tex]
So, the present age of the father is 48 years and that of the son is 24 years.
Hope I helped ! ツ
Have a wonderful day / night ♡
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Domain
Range
-3
6
5
3
-2.
1
A recipe requires 3 cups of flour to make 27 dinner rolls. How much flour is needed to make 9 rolls?Mandy runs 4 km in 18 min. She plans to run in a 15 km race. How long will it take her to complete the race?
Answer:
a)1 cup of flour
b)67.5 minutes
Step-by-step explanation:
a) A recipe requires 3 cups of flour to make 27 dinner rolls. How much flour is needed to make 9 rolls?
From the above question, we know that:
27 dinner rolls = 3 cups of flour
9 dinner rolls = x
Cross Multiply
27 rolls × x = 9 rolls × 3 cups
x = 9 rolls × 3 cups/27 rolls
x = 1 cup of flour
Hence, 1 cup of flour is needed to make 9 dinner rolls
b) Mandy runs 4 km in 18 min. She plans to run in a 15 km race. How long will it take her to complete the race?
From the above question:
4 km = 18 minutes
15km = x
Cross Multiply
4km × x = 15km × 18 minutes
x = 15km × 18minutes/4km
x = 67.5 minutes
Hence, in a 15km race , it would take her 67.5 minutes to complete her race.
Tim is reading a book. On Monday he reads 2 pages. On each day after that, he reads triple the number of pages as the previous day. How many pages did Tim read on Thursday?
Answer:
Tim read 54 pages on Thursday.
Step-by-step explanation:
Consider the provided information.
Tim read 2 pages on Monday. Each day after that, he reads triple the number of pages as the previous day.
Monday = [tex]2=2[/tex]
Tuesday = [tex]2\times 3=6[/tex]
Wednesday = [tex]2\times 3\times 3=18[/tex]
Thursday = [tex]2\times 3\times 3\times 3=54[/tex]
Hence, Tim read 54 pages on Thursday.
How many pages does Tim read on Monday? 2 pages.
If Tim tripled the amount that he read on Monday, how many pages did he read on Tuesday? 2 × 3 = 6 Pages
Repeat for Wednesday. 6 × 3 = 18 Pages
Repeat for Thursday. 18 × 3 = 54 Pages
I will mark brainliest for the best answer!!!! Please show FULL SOLUTIONS. THANK YOU.
Question: Determine The Value Of X.
9514 1404 393
Answer:
x = 78
Step-by-step explanation:
The base angles of an isosceles triangle are congruent, so the sum of angles is ...
x° +x° +24° = 180°
2x +24 = 180 . . . . . collect terms
x + 12 = 90 . . . . . . . divide by 2
x = 90 -12 . . . . . . . . subtract 12
x = 78
_____
Additional comment
The base angle of an isosceles triangle is always the complement of half the third angle. That angle's bisector is an altitude, so divides the isosceles triangle into two congruent right triangles.
If a = -3, find the value of 3a²
Step-by-step explanation:
given
a = - 3
3a² = 3 * ( -3) ²
= 3 * 9
= 27
The value of 3a² is 27.
Help please!!!!!! :(
Answer:
2). 2
3). 5
4). 3
5). 6
Step-by-step explanation:
Which triangles legs do not belong with the other three? Explain ur reasoning
Answer:
The second one.
Step-by-step explanation:
It's not a right triangle.
Answer:
The second triangle
Step-by-step explanation:
The reason is that is doesn't have a 90 degree angle
All the other triangles are right angled triangle except for the second one
(I’ll give brainilest) help asap
Answer:
option c: y=9x+0.5
that's the answer!
Need help ASAP. Please answer quick
Answer:
Energy used, input
Monthly bill, output
Step-by-step explanation:
the bill is affected by how much energy u use
HOPE THIS HELPS!
Brainliest?
Which of the following equations have no solutions?
Choose all answers that apply:
A
33. 33 = 331 – 25
B
33.: + 33 = 33. - 25
33.25 = 33r - 25
332 + 25 = 33r - 25
Which is no solution
Answer:
A, B & D
Step-by-step explanation:
Because if you subtract one of the constants from both sides then you should only have equal variables. In other words, both sides have to be identical in this situation.
33x-33= 33x + 25
33x = 33x + 58 No matter what you make x, the right will be 58 bigger than the right so there is no solution.
33x+33=33x+25
33x+8= 33x nope no solution
33x+25=33x+25
33x = 33x both sides identical so there is a solution
33x-25 = 33x +25
33x= 33x+50
When
you add 6 to the product of a number and 10, the result is 36. What is the number?
Answer:3
Step-by-step explanation:
10x+ 6= 36 Subtract six from each side then divide by ten leaves you with three
Answer:
20
Step-by-step explanation:
6+(n+10)=36
n=20
6+(20+10)=36
36=36
which rational number could be graphed between -4 and -5 a. -5 .5 b. -4.25 c. 4/5 d.4.5
Answer
C
Step-by-step explanation:
Help find the missing angles?
Step-by-step explanation:
a=90
e=45
f=45
plzzzz mark me brainliest if it helps you then
i need help!! i just need the equation that’s all, i’ll give brainliest
Answer:
(x²-16x)
Step-by-step explanation:
thats all just multiply then
simplify 27+2(6+x)
1. 35+x^2
2.39+2x
3.27+12x
4.29+8x
Answer:
39 + 2x
Step-by-step explanation:
A preschool Field trip required seven buses. 13 children rode in cars with their parents and the rest road on a bus. If there were 258 children on the trip to all together, how many were on each bus
Is a = 9 a solution to the inequality below?
8
yes or no
Below, explain why we are allowed the
"substitute in" x - 3 for y in the top equation.
Why is this useful for finding our first solution?
x + y = 11
y = x - 3
Answer:
because in the bottom eqution it shows us x-3=y therefor we could re-write the top equation as x+x-3=11
What is/ are the constant(s) in this expression?
3a + 6y + 18ay + 9 - 10
3a and 6y
9 and -10
- 9 and 10
9 and 10
Answer:
9 and -10 are constant
Step-by-step explanation:
constant means it shouldnt have any variable attached to it
Answer:
3,6,18,9,10
Step-by-step explanation:
numbers
Find the corresponding angles, alternate interior angles, and alternate exterior angles .
Answer:
94
Step By Step Explanation:
6X8=48
5X7=35
1X3=3
2X4=8
48+35+3+8= 94
48+35=83
3+8=11
83+11=94
94
PLEASE ANSWER ASAP WILL GIVE BRAINLIEST.
A football player kicks a ball with a mass of 0.5 kg. The average acceleration of the football was 15 m/s^2. How much force did the kicker apply to the football?
Question 2 options:
15.5 N
7.5 N
30 N
14.5 N
Answer:
7.5N
Step-by-step explanation:
The equation for force:
F = m * a
where F is force, m is mass, and a is acceleration
F = .5 kg * 15 m/s² = 7.5 N
Find the output, y, when the input,x, is 6.
y=
Answer:
y = 8
General Formulas and Concepts:
Algebra I
Reading a Cartesian PlaneCoordinatesFunctionsStep-by-step explanation:
What the question is asking is for the y-value when the x-value is equal. According to the graph, when x = 6, y = 8. Therefore, y = 8.
Answer:
8
Step-by-step explanation:
I got it correct and it is on khan :) I can prove it :D
Please help this is due today!
Graph the solution of 1/4x≤2
Answer:
There isnt even a graph shown to graph on.
Answer:
attached
Step-by-step explanation:
1/4x ≤ 2 same as
x ≤ 8
Number line and 2 dimension graphs
Which number is a factor of 10, but not a multiple of 2
Answer:
Five is as 2 x5=10, but it doest come in the table of 2
Step-by-step explanation:
Which graph shows a line with the slope of 3/2?
Answer:
B.
Step-by-step explanation:
slope = Rise (y difference) / Run (x difference)
B, Rise = 3 run = 2 slope = 3/2
The graph with a line of slope 3/2 is graph B.
What is Slope?Slope of a line is the ratio of the change in y coordinates to the change in the x coordinates of two points given.
Slope can also be defined as the tangent of the angle that the line is making with the positive X axis.
Slope of a line with two points (x, y) and (x', y') on the lines is,
Slope = (y' - y) / (x' - x)
Take any two points from all the three graphs given to find the slope.
A. Two points are (0, 4) and (6, 8)
Slope = (8 - 4) / (6 - 0) = 4 / 6 = 2/3
B. Two points are (0, 0) and (4, 6)
Slope = (6 - 0) / (4 - 0) = 6/4 = 3/2
C. Two points are (0, 2) and (2, 8)
Slope = (8 - 2) / (2 - 0) = 6/2 = 3
Hence the graph B has slope equals 3/2.
To learn more about Slope, click :
https://brainly.com/question/3605446
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To show -1 + (-6) on the number line, which directions would you move? *
5 points
right one unit, then left 6 units
Answer:
you would move left once, then left again 6 times. so 7 times to the left.
Step-by-step explanation:
You're moving left because you're working with negative numbers, so -1 would be the first step, and then just move 6 times more to the left. When you work with positives you do the same but to the right.
You will have to move left by 6 units.
What is equation modelling? What is a mathematical equation and expression?Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions.Given is a number line.
The given expression is -
-1 + (-6)
on solving, we get -
- 1 - 6
- 7
You will have to move left by 6 units.
Therefore, you will have to move left by 6 units.
To solve more questions on equations, expressions and polynomials, visit the link below -
brainly.com/question/17421223
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help me with this pls
Answer:
9, -8, 15
Step-by-step explanation:
Equation 1
[tex]5(x+7)-3(x-4)=7x+2 \\ \\ 5x+35-3x+12=7x+2 \\ \\ 2x+47=7x+2 \\ \\ 47=5x+2 \\ \\ 45=5x \\ \\ x=9[/tex]
Equation 2
[tex]4(3x+5)-3=9x-7 \\ \\ 12x+20-3=9x-7 \\ \\ 12x+17=9x-7 \\ \\ 3x+17=-7 \\ \\ 3x=-24 \\ \\ x=-8[/tex]
Equation 3
[tex]\frac{1}{3}(5x-9)=2\left(\frac{1}{3}x+6 \right) \\ \\ 5x-9=2(x+18) \\ \\ 5x-9=2x+36 \\ \\ 3x-9=36 \\ \\ 3x=45 \\ \\ x=15[/tex]
Somebody help me w this!!!
Answer:
1/4 !
Step-by-step explanation:
PLEASEE answer correctly !!!!!!!!!!!!!! Show your workkkkk !!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!
Determine what shape is formed for the given coordinates for ABCD, and then find the perimeter and area as an exact value and rounded to the nearest tenth.
A (−9, 3), B (−6, −1), C (2, 5), D (−5, 6)
Answer:
Perimeter = 5 + 5 + 7.1 + 10 =27.1
area = (5 + 10)x5 / 2 = 37.5
Step-by-step explanation:
Slope formula: m = (x' - x)/(y' - y)
m-AD: (6-3)/(-5 - -9) = 3/4 (I'm not detail other Other slopes)
m- BC = 3/4
m-AB = - 4/3
m-AD = m-BC AD // BC (ABCD is a Trapezoid)
m-AB = - 1 / m-BC
AB ⊥ BC
segment length formula: d = √(x' - x)² + (y' - y)²
AD = √(-5 - -9)² + (6 - 3)² = √4² + 3² = √25 = 5
DC = √50 = 7.1
BC = √100 = 10
AB = √25 = 5
Perimeter = 5 + 5 + 7.1 + 10 =27.1
area = (5 + 10)x5 / 2 = 37.5
area ABCD = (5+10)x5 / 2 =