*5. Gina's sister is 9 years older than Gina. Their combined ages add up to
49. How old is Gina? *
A. 29 years
B. 20 years
C. 19 years
D. 9 years
Answers
Answer:
B. 20 years
Step-by-step explanation:
By using the process of trial and error, if Gina is 20 years old, that would mean her sister is 29 years old. This is because 20+9 is equal to 29. 29+20 sums up to 49.
Answer: B. 20 years
Step-by-step explanation:
we will represent Gina sister's age by x and Gina's age by y.
Now were know that the age of Gina sister is 9 years older than Gina's so we can represent that by the equation x = y + 9
If we add their ages it is 49 so we can also represent that by the equation,
x + y = 49.
x = y + 9
x + y = 49
Using both equations, substitute x in the first equation into the second equation and solve for y.
(y + 9) + y = 49 solve for y , by first combining like terms.
2y + 9 = 49 subtract 9 from both sides
-9 -9
2y = 40 divide both sides by 2
y = 20
Since y was used to represent the age of Gina then Gina will be 20 years old.
Related Questions
Find an equation for the line below
Answers
Answer:
y=2x-1.
Step-by-step explanation:
y=mx+c
y=2x-1.
Can you please factor x^2-2x-31?
Answers
Find two factors of -31 whose sum equals the coefficient of the middle term, which is -2 .
-31 + 1 = -30
-1 + 31 = 30
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored
pitso went to buy ingredients for 48 minutes and came back at 16h15 .his friend claimed that he left half past 3p.m . verify hisd. claim
Answers
Answer:
His claim is false.
Step-by-step explanation:
People put nasty fake answers, so I will answer your question here. 16h15 minus 45 minutes is 15h30. If he was gone 48 minutes, he left at 15h27m
Look at the two equations:
-3x + 6 = 21
-3x + 6 < 21
Which statement best describes the process used to solve the equations?
In both cases, subtract 6 from both sides, but reverse the inequality sign when doing that for the inequality.
In both cases, divide by –3 on both sides, but reverse the inequality sign when doing that for the inequality.
The process is exactly the same for solving the equation and solving the inequality.
The process for solving the equation is entirely different from solving the inequality.
Answers
ILL MARK YOU THE BRAINLYEST
PLEASE HELPPP look at attachment
Answers
Answer:
D; is the right answer hope it helps ;)
Step-by-step explanation:
answer both for ( brain list, thanks, 5 star review) PLS help
Answers
Answer Below :)
Step-by-step explanation:
2a = 80,730
2b = 106
1. 80730
2. 106
PLSSSSSSS HELPPPPPPP I WILL GIVE BRAINLIESTTTTTTTTTT!!!!!!!!!!!!!!!!!!!!!PLSSSSSSS HELPPPPPPP I WILL GIVE BRAINLIESTTTTTTTTTT!!!!!!!!!!!!!!!!!!!!!PLSSSSSSS HELPPPPPPP I WILL GIVE BRAINLIESTTTTTTTTTT!!!!!!!!!!!!!!!!!!!!!PLSSSSSSS HELPPPPPPP I WILL GIVE BRAINLIESTTTTTTTTTT!!!!!!!!!!!!!!!!!!!!!PLSSSSSSS HELPPPPPPP I WILL GIVE BRAINLIESTTTTTTTTTT!!!!!!!!!!!!!!!!!!!!!PLSSSSSSS HELPPPPPPP I WILL GIVE BRAINLIESTTTTTTTTTT!!!!!!!!!!!!!!!!!!
What is the missing side?
Answers
Answer:
90
Step-by-step explanation:
the forumla of a triangle is base times height, divided by 2 and since it has a height of 12 and a base of 15, and if you multiply that it would give you 180, then divide by 2 since it is half a sqaure, which is 90
Answer:
[tex]3 \sqrt{41}[/tex]
Step-by-step explanation:
[tex]12^2 + 15^2 = x^2 \\x = \sqrt{369} = 3\sqrt{41}[/tex]
A fossilized leaf contains 18% of its normal amount of carbon 14. How old is the fossil (to the nearest year)? Use 5600 years as the half-life of carbon 14 13,829 1600 35,538 23,309
Answers
Answer: The age of the fossilized leaf is 13829 years.
Step-by-step explanation:
Expression for rate law for first order kinetics is given by:
[tex]t=\frac{2.303}{k}\log\frac{a}{a-x}[/tex]
where,
k = rate constant
t = age of sample
a = let initial amount of the reactant = 100
a - x = amount left after decay process = [tex]\frac{18}{100}\times 100=18[/tex]
a) for completion of half life:
Half life is the amount of time taken by a radioactive material to decay to half of its original value.
[tex]t_{\frac{1}{2}}=\frac{0.693}{k}[/tex]
[tex]k=\frac{0.693}{5600years}=0.00012years^{-1}[/tex]
b) for finding the age
[tex]t=\frac{2.303}{0.00012}\log\frac{100}{18}[/tex]
[tex]t=13829years[/tex]
The age of the fossilized leaf is 13829 years.
The fossilized leaf is 13855 years old.
Half life is given by:
[tex]N(t)=N_o(\frac{1}{2} )^\frac{t}{t_\frac{1}{2} } \\\\Where\ N(t)\ is \ the \ value\ of\ the\ substance\ after\ t\ years,N_o\ is\ the\\original\ value\ and\ t_\frac{1}{2} \ is\ the\ half\ life[/tex]
Given that half life = 5600 years, N(t) = 18% of normal amount = 0.18N₀. Hence:
[tex]0.18N_o=N_o(\frac{1}{2} )^\frac{t}{5600} \\\\0.18=(\frac{1}{2} )^\frac{t}{5600}\\\\ln(0.18)=\frac{t}{5600}ln(0.5)\\\\t=13855\ years[/tex]
The fossilized leaf is 13855 years old.
Find out more at: https://brainly.com/question/4483570
help, i think i got it? but i wanna make sure.
Answers
Answer:
ya thats the write equation i dont know what the adios say but u got the equation right
Step-by-step explanation:
Find the value of x.
Answers
PLS HELP I WILL GOVE YOU TUE BRAINLIEST HELP PLSSS HIRRY PLS TY
Answers
Answer: 180
Step-by-step explanation:
A painter used 2 1/2 gallons of paint to paint 1/3 of a room. At this same rate, how many gallons will it take to paint the whole room?
Answers
Answer:
7 1/2
Step-by-step explanation:
I have no idea how to solve it I just guessed and got it right lol
Answer:
7 1/2
Step-by-step explanation:
In rectangle ABCD, AD=200, and diagonal AC=90, what is the perimeter of ABCD
Answers
Answer:Length = 200
Breadth=90
perimeter of rectangle
[tex] = 2(l + b) \\ = 2(200 \times 90) \\ = 2 \times 18000 \\ = 63000[/tex]
Hope it helped
PLS mark BRAINLIEST
Determine the missing value in the circle graph what fraction of the total number of students surveyed is comedy?
Answers
Answer:answer
Step-by-step explanation: we’ll see to put it in a simpler way you are first going to have to joe nuts
How do you fnd the total amount of an interest paid? The question is "Find the total amount of interest paid one a principal of $2600 at a rate of 12% calculated per annum over 3 years." and I'm not sure how to figure it out
Answers
Answer:
936
Step-by-step explanation:
Because 12%of 2600= 312
or 0.12×2600=312 for the first year
so multiply by 3 to get interest for 3 years
312 × 3 =936
What is the volume of the following rectangular prism?
3
20
units2
2.
units
3
Volume
units
-
Answers
Answer:
1/10 units^3
Step-by-step explanation:
3/20 x 2/3 = 6/60 = 1/10 units^3
Answer:
3
Step-by-step explanation:
the sum of two consecutive even integers is 122. what are the integers?
Answers
Answer:
If the numbers were the same, they'd both be 61
So, try 60 and 62.
x + x+2 = 122
2x = 120
x = 60
Hope that helps!
Answer:
60 and 62
Step-by-step explanation:
To find the answer we need to set up our problem.
For the two consecutive even integers we can call them x and x+2, as adding 2 to x will give us the next even number.
Then we form our equation:
x+x+2=122
Since we have two x we can combine them into a single term
2x+2=122
We then subtract 2 from both sides
2x=120
Divide by 2
x=60
Find the second number by inserting it into
x+2
60+2=62
Shawn is typing a paper for class. He can type 1 5/11 pages in 1/ 3 of an hour. How many pages can Shawn type in one hour?
A 1 3/11
B 1 8/11
C 4 4/11
D 5 9/11
Answers
Answer:
the amount of pages typed after 1/3 of an hour is given. Multiply this number by 3 to get the full hour of pages types.
1 5/12 * 3 = 3(1) + 3(5/12)
= 3 5/4
= 4 1/4 pages
Please answer I’ll mark you brainlist!!!
Answers
1^6 = 1
11^2 = 11 x 11
11 x 11 = 121
121 + 1 = 122
PLEASEEE HELP MEEEEEEE ITS HAAARRDDD WELL FOR MEEE ITS DUE TODAAAYYY THANK UUUUUUU!!!!!!!!
Answers
Answer:
take a better picture can't see what it says
The expression 2x2 + 12x + 10 represents a bird's height, in feet, x seconds after it leaves its nest,
What does 10 represent?
o A. the height of the bird's nest
OB. the bird's speed
O C. the distance the bird flies from its nest
o D. the flight time of the bird
Answers
8 oranges cost $3.60 How much does it cost for each orange?
Answers
Answer:
Each orange costs 45 cents
Step-by-step explanation:
3.60 divided by 8 = .45
Answer:
The answer is 0.45 cents
Step-by-step explanation:
We divide 3.60 by 8 and got 0.45.
Have a great day
A. Region C
B. Region D
C. Region A
D. Region B
Answers
Answer:
c
Step-by-step explanation:
I need to know this ASAP I need to get through this lesson before Friday
Answers
Answer:
It is C.
Step-by-step explanation:
So,A triangle is equal to 180 and you would add up the numbers you already have which equal 145.180-145= 35° and thats why the last letter would be 35° in your answer and be correct which would be that m<F=35° is the same as ABC in the last letter. Since,<B is the second letter in ABC and so is <E in DEF and have the same degree that would be the same as well so I hope that helps:)
Answer:
c
Step-by-step explanation:
the angles in a triangle have to add up to 180°
65 + 80 = 145
180-145 = 35
the missing angle is 35°
choice c matches because it has 2 of the same angle measures, which means they all have to be the same
Which describes where living and nonliving parts of an environment interact with and rely on each other?
A.
community
B.
ecosystem
C.
habitat
D.
population
Answers
Answer:
B
Step-by-step explanation:
Ecology is the study of ecosystems. That is, ecology is the study of how living organisms interact with each other and with the nonliving part of their environment.
1. A limited-edition soccer ball costs $30, and the
sales tax is 6%. What is the total cost?
Answers
Answer:
$31.80
Step-by-step explanation:
The ball will cost 100% of its price plus 6% of its price for a total of 106%.
To use percentages as a factor and multiply, they must be divide by 100, making the multiplication factor version of 106% 1.06.
Multiply the cost of the ball by your multiplication factor:
30 x 1.06 = 31.8
Money is written to two decimal places, making your answer $31.80
Answer:
$31.80
Step-by-step explanation:
First, find how much the sales tax is
$30 × 6%
Convert the percentage into a decimal
30 × 0.06
1.8
$1.80
Add the sales tax to the original cost
$30 + $1.80
$31.80
Can someone please write this as a single logarithm and show work please and thank you
Answers
Answer:
[tex]log_b(w^3y^4)[/tex]
Step-by-step explanation:
To write the expression as a single logarithm, or condense it, use the properties of logarithms.
1) The power property of logarithms states that [tex]log_ax^r = rlog_ax[/tex]. In other words, the exponent within a logarithm can be brought out in front so it's multiplied by the logarithm. This means that the number in front of the logarithm can also be brought inside the logarithm as an exponent.
So, in this case, we can move the 3 and the 4 inside the logarithms as exponents. Apply this property as seen below:
[tex]3log_bw+4log_by\\=log_bw^3+log_by^4[/tex]
2) The product property of logarithms states that [tex]log_axy = log_ax+log_ay[/tex]. In other words, the logarithm of a product is equal to the sum of the logarithms of its factors. So, in this case, write the expression as a single logarithm by taking the log (keep the same base) of the product of [tex]w^3[/tex] and [tex]y^4[/tex]. Apply the property as seen below and find the final answer.
[tex]log_bw^3+log_by^4\\=log_b(w^3y^4)[/tex]
So, the answer is [tex]log_b(w^3y^4)[/tex].
PLS HELP ME ITS DUE TONIGHT
Answers
4/10 is less than 1/2
So 5/8 is greater than 4/10
Charlie sold more.
Find X
(will give brainliest if correct)
Answers
Answer:
look at my question
Step-by-step explanation:
Let me know if you can see the image, also answer to.
Answers
Answer:
Part A) About 3 it represents the amount of matches won with 0 months of practic3
Part B) points used = (2,8) (5,12)
equation in slope intercept form: y=[tex]\frac{4}{3}x +3[/tex]
games won after 13 months = about 20
Step-by-step explanation:
Part B work:
points used = (2,8) (5,12)
[tex]\frac{ y_{1} -y_{2} }{x_{1}- x_{2} }[/tex] = slope equation
[tex]\frac{12-8}{5-2}[/tex]= slope equation filled in
[tex]\frac{4}{3}[/tex]=slope
So the equation in slope intercept form:
y=mx+b
mx = slope
b = y intercept
So the equation is:
y=[tex]\frac{4}{3}x +3[/tex]
Games won after 13 months:
months = x
y=[tex]\frac{4}{3}[/tex](13) + 3
4/3 x 13 = 17.3
y=17.3+3=20.3
About 20 games