(1) 5 years ago a man's age was 5 times the age of his daughter's. 3 years hence, twice
his
age will be equal to 6 times his daughter's age. Find their present ages.
Answers
Answer: Daughter = 13, Man = 45
Step-by-step explanation:
Today 5 yrs ago 3 years hence (future)
Man x x - 5 x + 3
Daughter y y - 5 y + 3
5 years ago a man's age was 5 times the age of his daughter's
EQ1: x - 5 = 5(y - 5) → x - 5 = 5y - 25 → x - 5y = -20
3 years hence, twice the man's age will be equal to 6 times his daughter's age.
EQ2: 2(x + 3) = 6(y + 3) → 2x + 6 = 6y + 18 → 2x - 6y = 12
Solve the system of equations using the Elimination method:
EQ1: x - 5y = -20 → -2(x - 5y = -20) → -2x + 10y = 40
EQ2: 2x - 6y = 12 → 1(2x - 6y = 12) → 2x - 6y = 12
4y = 52
÷4 ÷4
y = 13
Substitute y = 13 into either equation to solve for x:
EQ1: x - 5y = -20
x = 5y - 20
x = 5(13) - 20
x = 65 - 20
x = 45
Related Questions
Solve for z:
3z +4= 5z+ 2
z=1
z = 3
z= 2
Answers
Explanation:
3(1) +4= 5(1)+ 2 = 7=7
3(3) +4= 5(3)+ 2 = 13=17
3(2) +4= 5(2)+ 2 = 10=12
PLEASE HELP!
Which graph represents f(x) = 1/2x^5
Answers
The solution is option a)
How to graph an equation?
To graph an equation using the slope and y-intercept. Write the equation in the form y = mx + b to find the slope m and the y-intercept (0, b). Next, plot the y-intercept. From the y-intercept, move up or down and left or right, depending on whether the slope is positive or negative.
Given data ,
Let the function be f ( x ) = ( 1 / 2 ) x⁵
Now , to know which graph represents the equation mentioned, you can put some values of x in the equation and evaluate the value of y
So , when x = 1
y = ( 1 / 2 )
when x = 2
y = ( 1 / 2 ) × 2⁵
= 2⁴
= 16
when x = -1
y= ( 1 / 2 ) × ( -1 )⁵
= - ( 1 / 2 )
So , by plotting all the points of x and y in the graph , Option a ) satisfies the solution
Hence , the solution is Option a)
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What are two different ways of factoring -2x - 4? Select all that apply.
Answers
please help!!
factor: 3n^2+10m-8
Answers
Answer:
The expression is not factorable
Step-by-step explanation:
-14+8 I also need to explain it to
Answers
Answer:
-6
Step-by-step explanation:
14 - 8 = 6
Answer:
-6
Step-by-step explanation:
u subtracted right but its a negative and a positive and the -14 is bigger than the 8 so it would be a negative answer which is -6
help me pleaseeee i’m gonna fail math and leave a step by step of u can
Answers
Answer:
I think it is D.
Step-by-step explanation:
152-43=109
Answer:
C
Step-by-step explanation:
angle DEC=180-152=28
AB//DEF --> angle A=angle DEC = 28 (alternate angle)
angle B=angle D=43
angle DCE=180-43-28=109
angle ACB= angle DCE = 109 (vertical angle)
angle ACD=180-109 = 71
angle BCE-angle ACD = 71 (vertical angle)
Can some one help me with this
Answers
Answer:
the answer is C the third one 25,500
Step-by-step explanation:
Use an addition equation to solve for x.
6, 14, x
Perimeter = 35
A. 15
B. 55
C. 21
D. 29
Answers
Answer:
A.15
Step-by-step explanation:
If you add 6+14=20. So if you add 15 you get 35.
Answer:
a:15
Step-by-step explanation:
Jason solved the following equation to find the value for x.
–8.5x – 3.5x = –78
x = 6.5
Describe how Jason can check his answer.
Answers
-8.75(6.5) - 3.5(6.5) = -78
-56.875 - 22.75 = -78
-79.625 = -78
Because this isn’t true, his answer is wrong
Sample answer:
Substitute the value for x into the original equation. Simplify using order of operations. If the statement is true, Jason’s solution for x is correct. If the statement is false, Jason’s solution for x is incorrect.Step-by-step explanation: (My answer)
1) Subtract 8.5 and 3.5, that equals 12.
[tex]8.5x - 3.5x = -78[/tex]
2) Multiply 78 and 12, that equals 6.5 .
[tex]\frac{12x}{12} = \frac{78}{12}[/tex]
3) Check your answer.
[tex]-8.5 (6.5) -3.5 (6.5) = -78[/tex]
Multiply 8.5 and 6.5, that equals 55.25. Next, multiply 3.5 and 6.5, that equals 22.75.Finally, you will need to subtract your answers. Subtract both 55.25 and 22.75.Once you've done that, the answer you should get is 78.
78 is equal to 78, that is your final answer and it is correct.
There are 62 eggs in a pile on the desk. Each egg comes in a package of 6. 6 eggs
are added to the pile. How many eggs are
there in the pile?
Answers
Given parameters:
Number of eggs in a pile on the desk = 62 eggs
Eggs per package = 6
Number of added eggs = 6
Unknown:
Number of eggs in the pile = ?
Solution:
To find the number of eggs in the pile, simply add the original amount of eggs to that which was added;
Number of eggs in pile = (62 + 6)eggs = 68 eggs
Number of eggs there in the pile are 68 eggs
the table below shows the distance from the sun of four planets in the solar system. Mercury is the closest planet to the sun. Which distance must be Mercury's distance because its the least
Answers
Answer:
The answer is C
Step-by-step explanation:
In the end it mostly matters how many zeros are put in the number. C equals 57 million .The rest of the numbers are 107 million and more. Hope this helps!!!!!!!!!
what is 6.08 rounded to the nearest tenth
Answers
Answer:
6.1
Step-by-step explanation:
anything 5 and over you round to one, so .08 turns into .1 :) glad i could help
The given decimal number is rounded to the nearest tenth as 6.1.
The given decimal number is 6.08.
Rounding a number means the process of making a number simpler such that its value remains close to what it was. The result obtained after rounding off a number is less accurate, but easier to use. While rounding a number, we consider the place value of digits in a number.
Here, in 6.08 digit in the hundredths place is 8, which is greater than 5.
So, the digit in the tens place increased by 1 and digits after tens place becomes zero.
That is, 6.10
Therefore, the given decimal number is rounded to the nearest tenth as 6.1.
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Find the real-number root -81
Answers
LMN is a right triangle.
A. True
B. False
Answers
Answer:
A: True
Step-by-step explanation:
An electronics superstore normally sells a new smartphone for $200, but it is currently offering a 50% discount off the price. The same phone is available online for $200; the website is offering 25% off the phone, plus another 25% discount off all purchases. Where should you buy the phone to get the better deal? Why?
Answers
Answer: They are equal, but if you are buying something else with it,, say a case, the website
Step-by-step explanation:
Website:
1/4 +1/4 = 1/2
Store:
1/2
Answer:
the 50% off is the better deal
Step-by-step explanation:
200 x .50= 100 so on the first phone you save $100
the website you get 25% off so .25 x 200=50 so 200 - 50 =150 then you get another 25% off .25 x 150 =37.50 so 150 - 37.50 = 112.50.
WILL MARK BRAINLIEST. Find my mistake and explain how you would fix it. I’ve included step numbers so you can describe where the step is in the solution path.
Answers
Please help me with this! I don't understand it at all!
Answers
What is −2≤x−11≤6 Im new to this and i dont understand it. It would be kindly nice if you would help me please
Answers
Please help!!!
What is different about the solutions to an inequality (like r > -3) with that of an equation (like
= 2)?
Answers
When an answer to a question uses the greater than symbol, that means any number above the number used is a possible answer to the equation. However, when it's just a simple "x = 2", then 2 is the only possible answer to that equation. Think about it as if it were on a graph. In the attached file I have a graph that is displaying the equation "x > 4". The entire shaded area to the right of 4 could be a possible answer.
Hope this helps.
n/n-5 = 4/6
please help
Answers
Answer:
4/11
Step-by-step explanation:
A recipe for 40 biscuits uses 2 cups of biscuit mix. How many biscuits are made from 1 cup of biscuit mix?
Answers
Answer:
20 biscuits are made from 1 cup of biscuit mix.
Step-by-step explanation:
Divide 40 by 2 to get the unit rate, which is 20.
Hope this Helps!
Answer:
20
Step-by-step explanation:
40= 2 cups
1 cup is equal to half of the 2 cups so just take half of how much the 2 cups made
20 biscuits
Can 112mm and 300mm make tringal
Answers
Answer:
no it can not make a triangle
help please!!!!! big assignment grade
Answers
Answer:
A
Step-by-step explanation:
Millie makes 24 bracelets in 10 hours. What is her rate? ******rates must have 2 different labels
********almost always, time is a denominator
Answers
Answer:
2.4 bracelets per hour
Step-by-step explanation:
24 bracelet/ 10 hrs
2.4 bracelets per hour
Answer:
2.4 an hour
Step-by-step explanation:
Please help me with these 2 questions please!! Legit answers only! Please!
Answers
Answer:
for the second picture: the answer is 15 hours
Step-by-step explanation:
174 miles is for 3 hours, divide that by 3 to find how many miles per hour it is, 870 divided by 58 will give you the number of hours; 15. hope this helps!
water has the chemical formula H20. Which statement correctly describes water? A: water is not a pure substance, but is an element B: Water is a pure substance and an element. C: Water is a pure substance and a compound. D: Water is not a pure substance, but is a compound.
Answers
Answer:
the answer is d I'm positive:)
Calories consumed by members of a track team the day before a race are normally distributed, with a mean of 1,700 calories and a standard deviation of 100 calories. If a normal curve is sketched using these data, what is the range for 3 standard deviations to the right and to the left of the mean?
A.) 1,400-2,000
B.) 0-3,500
C.) 1,600-1,800
D.) 1,500-1,900
Answers
Your answer is:
A) 1,400 - 2,000
keep believing and dont give up.
if nobody loves you, i do
Option A is right.
Given that:
Mean = 1700
Standard deviation = 100
So, the range for 3 standard deviations to the right and to the left of the mean is:
[tex]\left(1700-3\left(100\right)\ ,\ 1700\ +\ 3\left(100\right)\right)\\=\left(1700-300,\ 1700\ +\ 300\right)\\=\left(1400,\ 2000\right)[/tex]
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In the diagram, the length of segment QV is 15 units. Line m is a perpendicular bisector of line segment S Q. It intersects line segment S Q at point R. Line m also contains points T and V. Line segment T S is 3 x + 2. Line segment S V is 4 x minus 1. What is the length of segment TQ?
Answers
Answer:
14 units
Step-by-step explanation:
E2020
Answer:
k
Step-by-step explanation:
The price of a train ticket from Lexington to Orlando is normally $128.00. However, children under the age of 16 receive a 65% discount. Find the sale price for someone under the age of 16.
Answers
Answer:
83.20
Step-by-step explanation:
You put the 65 into a percent then multiply by 128 then you get your discount
Javier exercises for 2 hours every Saturday. His exercise includes two parts.
Javier's exercise: cardio and weightlifting
If he spends the same amount of time on both parts, how many hours does he spend weightlifting?
Answers
The number of hours that Javier spends on cardio and weightlifting will be one hour.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
Every Saturday, Javier works out for two hours. His workout consists of two components. Javier works out with cardio and weights.
If he spends the same amount of time on both parts.
Let x be the number of hours spent on weightlifting. Then the equation is given as,
x + x = 2
2x = 2
x = 1 hour
The number of hours that Javier spends on cardio and weightlifting will be one hour.
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