Answer:
A (48)
Step-by-step explanation:
let the father's age = x and his son's age = y
according to the question,
the sum of their ages is 74
×+y=74......equation 1
four years ago (i.e x-4 & y-4) father's age was twice as old as his son
x-4=2(y-4)
or, x-4=2y-8
x-2y=-4.......equation 2
now, in equation 1
x+y=74
hence,
x=74-y
substituting the values in equation 2
x-2y=-4
(74-y)-2y=-4
74-y-2y=-4
74-3y=-4
74+4=3y
3y=78
y=78/3
y=26
Hence the kid is 26 years old
x+y=74
x+26=74
x=74-26
x=48
Hence the dad is 48 years old
Answer:
The correct answer is: Option A: 48
Step-by-step explanation:
Let x be the present age of father and y be the present age of son
Given that
"The sum of the ages of a father and his son is 74"
[tex]x+y = 74\ \ \ Eqn\ 1[/tex]
Now
x-4 will be the age of father 4 years ago
y-4 will be the age of son 4 years ago
The equation will be:
[tex]x-4 = 2(y-4)\\x-4 = 2y-8\\x-2y-4 =-8\\x-2y = -8+4\\x-2y = -4\ \ \ Eqn\ 2[/tex]
From equation 1:
[tex]x = 74-y[/tex]
Putting in equation 2
[tex]74-y-2y = -4\\74-3y = -4\\-3y = -4-74\\-3y = -78\\\frac{-3y}{-3} = \frac{-78}{-3}\\y = 26[/tex]
Put y = 26 in equation 1
[tex]x+26 = 74\\x = 74-26\\x = 48[/tex]
The father is 48 years old now.
Hence,
The correct answer is: Option A: 48
I climbed 775 steps in 12 1/2 seconds
how many steps did i average climb per minute?
Answer:
3720
Step-by-step explanation:
60/12 1/2
*775
Answer:
Per minute is 3720 steps.
Step-by-step explanation:
60 divided by 12.5 = 4.8
4.8 times 775 = 3720
Given:x-8>-3
Chose the solution set.
1.{x|x€R,x>-5}
2.{x|x€R,x>14}
3.{x|x€R,x>5}
4.{x|x€R,x>-9}
Step-by-step explanation:
x - 8 > -3
x > -3 + 8 (add 8 to both sides)
x > 5
Hence 3.{x|x€R,x>5} is correct.
An angle measures 130.4° more than the measure of its supplementary angle. What is the measure of each angle?
Answer: 24.8 and 155.2
Step-by-step explanation:
x+x+130.4=180
2x=49.6
x=24.8
Answer:
155.2
Step-by-step explanation:
let x be the supplimentary angle
then the angle is
130.4+x
we have
130.4+x+x=180
2x=49.6
multiply both sides with 2
x=24.8
then the angle is
130.4+24.8
155.2
What is the answer for (2b + 8)5 ?
Answer:
Expanded, the answer would be 10b + 40
Step-by-step explanation:
Just multiply 8 to 2b and 8
50 POINTS HELPPPPPPPPPPP
Answer:
p(Sports U Work)=1/4
Step-by-step explanation:
13+2/20
15/20
3/4
4/4-3/4=1/4
1/4
If this helps please mark as brainliest
Which expression represents the completely factored form of 2x3 + x2 - 8x - 4?
a (x2 - 4)(2x + 1)
6 (x - 2)2(2x - 1)
0 (x - 2)(x + 2)(2x - 1)
d (x-2)(x + 2)(2x + 1)
Answer:
D
Step-by-step explanation:
D is also equivalent
Help pls guys!!!asap
Answer:
The answer is D
Step-by-step explanation:
This problem may look complex but it isn't; the variables in the "x" column represent what would be substituted for x, and y would be what the equation would equal AFTER substituting the x variable into the equation
So for example, using d's table, I would substitute -4 for x: y = -3(-4) + 2, the answer would be 14, which is in the y column. I will do the same thing using the next variable in the x column, y = -3(-2) + 2, that would equal 8, which is also in the y column, this would not serve true in any other tables.
(5-2)2 + 4•2 need help
Answer:
14 is the answer to this question
Step-by-step explanation:
10-4+8
6+8
14
Answer:
14
Step-by-step explanation:
PLEASE HELP I WILL GIVE BRAINLIEST ANSWER! What is y-5/3=1?????
Answer:
Y =1 is a good answer for this question.
The perimeter of a rectangular classroom is 52 feet. If the length is 10 more feet than the width, what is the length?
Answer: 18 by8
Step-by-step explanation:
Please helppppp !!!!!!!!!!! Will mark correct Brianliest !!!!!!!!!!!!!!
Answer:
the third side is [tex]\sqrt{85}[/tex]
Step-by-step explanation:
root 85 is already the simplest form
WORTH 15 POINTS!! - Eileen's Energy Bars has determined that an energy bar measuring 3.25 inches long has a z-score of +1 and an energy bar measuring 3.50 inches long has a z-score of +2.
What is the standard deviation of the length of energy bars produced at Eileen's Energy Bars?
3.5
3.25
0.75
0.25
Answer:
0.25
Step-by-step explanaition:
The z-score represents how many deviations a value is from the mean. When the bar measures 3.25, the z-score is +1. When the bar measures 3.50, the z-score is +2. You'll notice that whenever the bar size increases by 0.25, the z-score goes up +1. So, the standard deviation from the mean must be 0.25.
Answer:
0.25
Step-by-step explanation:
i took the test
A dog walker service offers a daily service and a weekly service in the winter the ratio of daily customers to weekly customers was one to five however in the spring more customers moved to the daily service because of the nicer weather after the weather changed the ratio was 4:2 if there were 1:5weekly customers in the winter then how many daily customers were there in the spring
Answer:
Daily customers were there in the spring = 100 customers
Step-by-step explanation:
In winter :
Daily customers to weekly customers = 1:5
In spring
Daily customers to weekly customers = 4:2
And total weekly customer in winter = 125
Find:
Daily customers were there in the spring
Computation:
Total customer in winter = 125[6/5]
Total customer in winter = 150
Daily customers were there in the spring = 150 [4/6]
Daily customers were there in the spring = 100 customers
If α and β are zeroes of a polynomial x² + 6x + 9, then form a polynomial whose zeroes are -α and -β
Answer:
x² - 6x + 9
General Formulas and Concepts:
Algebra I
FactoringExpand by FOIL (First Outside Inside Last)Step-by-step explanation:
Step 1: Define
x² + 6x + 9
Step 2: Find Roots α and β
Factor quadratic: (x + 3)²Find roots: α = -3, β = -3Step 3: Solve
Apply negatives: -α = -(-3), -β = -(-3)Multiply: -α = 3, -β = 3Write binomial factor: (x - 3)²Expand [FOIL]: x² - 6x + 9Can someone explain how to solve this problem:
-2 |7d| = 14
Hope it helps.....
Use the substitution method to solve the system of equations.
3x + 4y = 10
y = x-1
A. (2,3)
B. (2,1)
C. (3,2)
D. (1,2)
Answer:
B
Step-by-step explanation:
3x + 4(x-1) = 10
3x+4x-4=10
7x-4=10
+4 +4
7x=14
/7 /7
x=2
y=(2)-1
y=1
please help me
2(y+2) y=3
Answer:
10
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
2(y + 2)
y = 3
Step 2: Evaluate
Substitute in y: 2(3 + 2)(Parenthesis) Add: 2(5)Multiply: 10Help ASAP if you want brainliest
Answer:the first one for miles is d and the second one for minutes is b
Step-by-step explanation:
this is for the brainlist winner
Plz, Help me with this question!!!!
Answer:
option 1. 2/3x-2
Hope this helps! :)
Answer:
2/3x-2
Step-by-step explanation:
Can I plz get the congruence and reason plz
Congruence is when there are 2 objects that have the same shape and size, or they "mirror" each other.
Question 6:
Congruence:
Yes, these two objects are congruent.
Reason:
They are congruent, because they have the same size and shape, or that they "mirror" each other.
Question 7:
Congruence:
Yes there is congruence, here. These two objects are similar shapes, but not completely congruent.
Reason:
These two objects have the same size, but not the exact same shape. If you look at point B you can see that the two angles are different, which means that they are similar shapes, but not completely congruent.
Hope this helps! :)
The between two points can be found by drawing a triangle. The length of this is the of the right triangle, the other two sides are and Example One: Determine the distance between the two points: (-2, -3) and (3, 4) (1) the points and the segment. a right triangle, and the units for the legs. (3) the right triangle, with and (4) Set up an equation. → Simplify and solve a² + b² = c²
Answer:
Don't let anyone bring you down you matter you rock!
Step-by-step explanation:
If your teacher tells you to do questions 38 through 51 in your math book for homework, how many questions is that?
Do not include units in your answer
Answer:
It would be 13 questions.
Step-by-step explanation:
If you had to do questions 31 through 51 for homework it would be 13 because...
51 - 38 = 13
Answer:
13
Step-by-step explanation:
51 - 38 = 13
also 13 + 38 = 51
brainliest.
how do we find the value of y when x = 0
Answer:
both variables are just 0-
Diego cut 7 smaller boards of equal length from a board that is 9 and one-third feet long. How long is each of the 7 smaller boards?
Answer:
1 1/3 feet long
Step-by-step explanation:
Answer:
Each of the seven smaller boards will be 1.3 feet long
Step-by-step explanation:
We must divide 9 1/3 by 7
9 1/3 / 7 = 1.333286
We now have to round to the nearest tenth which would give us:
1.3
So our final answer would be 1.3
please help!!! for anyone that knows
Answer:
The answer is the fourth option 133°.
i asked one my friends she said its the last one Answer. 133. I hope its right
This is a picture of the answer choices!!
Answer:
I would choose B. Sorry if incorrect. Hope it helps. :)
Step-by-step explanation:
Usually the correct answer is B when I do assignments.
Answer:
B!!
Step-by-step explanation:
there you go bud!
Calculate the volume of the prism by first finding the total number of half-unit cubes that will fill it. There are 8 half-unit cubes in every unit cube. 12 1
Answer: 3
Step-by-step explanation: QPEX VERIFIED JUST DID IT
GO ACROSS!!! Plz help
Most of the geometry concepts and theorems that are learned in high school today were first discovered and proved by mathematicians such as Euclid thousands of years ago. Given that these geometry concepts and theorems have been known to be true for thousands of years, why is it important that you learn how to prove them for yourself?
Answer:
self realization, confidence
Step-by-step explanation:
also these concepts are used in real life jobs but most people think otherwise because you dont use them in a grocery store... yeah people think that, but also its so these concepts that were figured out thousands of years ago dont fade away with the newer generations