Answer:
It will take Rosa 5 and a half (5.5) weeks to have the same amount of money in both accounts.
Step-by-step explanation:
For this problem, we will have to set two expressions equal to each other. The first expression will represent Rosa's saving account, which already has $117 in it. Every week ([tex]x[/tex]), she adds $21 to her savings account:
[tex]21x+117[/tex]
The second expression will represent Rosa's checking account. Rosa's checking account already has $95 in it. Every week ([tex]x[/tex]), she adds $25 to her checking account:
[tex]25x+95[/tex]
Now that we have our two expressions, set them equal to each other. This is our equation that will be used to find the number of weeks ([tex]x[/tex]) it takes until Rosha has the same amount of money in both accounts:
[tex]21x+117=25x+95[/tex]
Subtract [tex]21x[/tex] from both sides of the equation:
[tex]117=4x+95[/tex]
Subtract [tex]95[/tex] from both sides of the equation:
[tex]22=4x[/tex]
Divide both sides of the equation by the coefficient of [tex]x[/tex], which is [tex]4[/tex]:
[tex]5.5=x[/tex]
[tex]x=5.5[/tex]
So it will take five and a half weeks for her accounts to have the same amount of money.
_
Check your work by substituting [tex]5.5[/tex] into the initial equation:
[tex]21(5.5)+117=25(5.5)+95[/tex]
[tex]115.5+117=137.5+95[/tex]
[tex]232.5=232.5[/tex]
Since the accounts have the same amount, the answer is correct!
Answer:
5.5 weeksStep-by-step explanation:
GivenInitial balance
Savings account = $117Checking account = $95Added amount per week
Savings account = $21Checking account = $25If number of weeks is x, then required equation is
117 + 21x = 95 + 25xSolving for x
25x - 21x = 117 - 954x = 22x = 22/4x = 5.5The answer is 5.5 weeks
M∠LON=77 ∘ m, angle, L, O, N, equals, 77, degrees \qquad m \angle LOM = 9x + 44^\circm∠LOM=9x+44 ∘ m, angle, L, O, M, equals, 9, x, plus, 44, degrees \qquad m \angle MON = 6x + 3^\circm∠MON=6x+3 ∘ m, angle, M, O, N, equals, 6, x, plus, 3, degree
Answer:
Step-by-step explanation:
Given
<LON = 77°
<LOM = (9x+44)°
<MON = (6x+3)°
The addition postulate is true for the given angles since tey have a common point O:
<LON = <LOM+<MON
Since we are not told what to find we can as well look for the value of x, <LOM and <MON
Substitute the given parameters and get x
77 = 9x+44+6x+3
77 = 15x+47
77-47 = 15x
30 = 15x
x = 30/15
x = 2
Get <LOM:
<LOM = 9x+44
<LOM = 9(2)+44
<LOM = 18+44
<LOM = 62°
Get <MON:
<MON = 6x+3
<MON = 6(2)+3
<MON = 12+3
<MON = 15°
Answer: 15° is right on khan academy
Aisha, Silvio, and Jim, each solved the same equation. Aisha's answer was x = 4, Silvio's answer was x = 8, and Jim's answer was x = 16. If either Aisha or Jim, but not Silvio, is correct, which of these equations could it be? Select all that apply. x3 = 64 x2 = 4 x2 = 16 x2 = 256 x2 = 64 x3 = 8
Answer:
x³ = 64x² = 16x² = 256Step-by-step explanation:
Equations and solutions
x³ = 64 ⇒ x = ∛64 = 4x² = 4 ⇒ x =√4 ⇒ x = ±2x² = 16 ⇒ x = √16 ⇒ x = ±4x² = 256 ⇒ x = √256 ⇒ x = ±16x² = 64 ⇒ x = √64 ⇒ x = ±8x³ = 8 ⇒ x = ∛8 ⇒ x= 2Aisha's answer = 4
Silvio's answer = 8
Jim's answer = 16
If either Aisha's or Jim's answer is correct then possible equations with same answers are:
x³ = 64x² = 16x² = 256
If x = 35°, which two lines can be proven parallel?
A) n and d
B) I and m
C) m and o
D n and o
Answer:
n and o
Step-by-step explanation:
Because those 35 and x are corresponding angles and they are lying on line n and o.
Hope this helped!
Diana is comparing the membership costs at two fitness centers. The community fitness center costs $60 per month. The fitness center located where she works has a $100 registration fee and costs $40 per month. After how many months of membership will the costs be the same?
2
3
4
5
Answer:
5 months
Step-by-step explanation:
Make the question into an equation where the cost of one gym equal to the cost for the other.
60x = 100 + 40x
x represents how many months
20x = 100
x = 5
It would take 5 months of membership for the costs to be the same.
The answer is 5 months.
How to make a linear equation?The linear equation is made using the constraints given in the question, examining whether the data is added, subtracted, divided, or multiplied.
How to solve a linear equation?To solve the linear equation we group the variable on the LHS and then equate it with the constant and this is done by transposing, or using an arithmetic operator on both sides.
The solution to the given problemLet the number of months taken be 'x'
SO the community fitness takes 60x money for x months
The fitness center where she works takes an amount of 100+40x for x months as registration fees are only charged once.
so equating the equation to find the value of x.
100+40x = 60x
Transposing 40x from LHS to RHS
100=60x-40x
20x = 100
Dividing the equation by 20 on both sides
x = 5
The membership costs will equal in 5 months.
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please help , I'm very confused on this topic
and its 40 points just help and they are yours
Answer:
RHS
Step-by-step explanation:
It is given that XY is the perpendicular bisector of WZ. This means that it forms 90-degree angles at Y. (angle XYZ and angle XYW are 90 degrees). (R)
Since there is a right angle at Y, XZ and XW are the hypotenuses. (H)
There is a common line between triangle XYZ and XYW and that is XY. (S)
Therefore you can prove ΔXYZ ≅ΔXYW because of RHS
A number n square plus 12 is the same as the
quotient of p and 4.
Answer:
n² + 12 = p/4
or
n² + 12 = p ÷ 4
Step-by-step explanation:
The number n is squared, and you have to add 12 to complete the equality. So n squared plus 12 will equal p divided by 4.
PLEASE HELP MEH WILL ARK BRAINLIST
Answer:
B, C, D, E, A
Step-by-step explanation:
In order to know you have to get them all to the same form. This means converting all of them to a fraction or decimal. You can convert to whichever you prefer. I will be doing decimals since I find that easiest to understand.
A = 13.5
B = -13.5
C = -3
D = 0
E = 0.135
You can see then that the order is B, C, D, E, A.
if f(x) = 2x^2 + 3 ang G(x) =x^2 -7, find (f-g)(x)
Answer:
x^2+10
Step-by-step explanation:
2x^2+3-(x^2-7)
2x^2+3-×^2+7
x^2+10
Can someone help me
7 + 2h = 3 + 4h
h = 2
[tex]7 + 2h = 3 + 4h[/tex]
You must isolate the variable to solve using the order of operations, or PEMDAS.
[tex]4 = 2h[/tex]
Subtract 3 from both sides of the equation, and subtract 2h from both sides of the equation.
[tex] \frac{4}{2} = h[/tex]
Divide both sides of the equation by 2.
[tex]h = 2[/tex]
The graph shows the reciprocal parent function
The function has no intercepts.
Option C is the correct answer.
What is a function?A function has an input and an output.
A function can be one-to-one or onto one.
It simply indicated the relationships between the input and the output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
The x-intercept is the point on the x-axis when y= 0.
The y-intercept is the point on the y-axis when x= 0.
We see that,
There is no point on the x-axis or y-axis that the graph is touching.
So,
We can say that,
There are no x-intercepts and y-intercepts.
Thus,
The function has no intercepts.
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if a translation take triangle CAT to C’A’T’, what is A’T’?
Answer:
Option (1)
Step-by-step explanation:
If a translation takes the triangle CAT to triangle C'A'T', transformation will be the rigid transformation or Isometry.
By the definition of rigid transformation, shape and size of the image and preimage remains the same.
Therefore, length of the sides of ΔC'A'T' will remain same as ΔCAT after the translation.
Option (1) √10 will be the answer.
Answer:
√10 (option 1) is the answer. (FLVS)
Step-by-step explanation:
Hope this helps
Regina has a bag of marbles that contains 3 blue marbles, 4 red marbles, and 5 yellow marbles. She draws one marble, then replaces it, and draws one more.
There are
possible outcomes.
The probability the first drawn marble will be blue is
.
The probability the second marble drawn will be yellow is
.
So, P(blue, then yellow) =
.
Answer: 12, 1/4, 5/12, 5/48
Step-by-step explanation:
i got it right
Answer:
12,
1/4,
5/12,
5/48
Step-by-step explanation:
Have a great day!
PLEASE HELP ME! I WILL MARK YOU BRAINLIEST 36 POINTS AWARDED TO THE PERSON THAT ANSWERS
Answer:
Step-by-step explanation:
I got 900000
Answer:
900000
Step-by-step explanation:
10^5 is 100000
100000*5 is 900000
Helps me solve this problem please
The slope of the graph is -1. Which statement describes how the slope is related to the burning of a candle?
Answer: candle burns down 1 cm per hour
Step-by-step explanation:
Answer:
d.
Step-by-step explanation:
easy to read
Practice Problems
1.4.-62
Answer:
1.4-62=-60.6
Step-by-step explanation:
Ask me if you need any other help!
7 7/8 + 2 1/3 = x this is a problem tht I’m struggling with
Let's solve your equation step-by-step
7 7/8 +2 1/3 =x
Step 1: Simplify both sides of the equation
245/24 =x
Step 2:Flip the equation
x=245/24
Answer: x=10 5/24
A robot can complete 3 tasks in 2/5 hour.
How many tasks can the robot completein one hour
Answer:
1.2 tasks per hour, round to 1 if needed
Step-by-step explanation:
Jeremy has $30. He pays $8 to wash his car. His friend pays back $16 that Jeremy had loaned to him. How much money does Jeremy have now?
Answer: $38 because 30-8= 22, 22+16=38
Answer:
38 dollars
Step-by-step explanation:
He starts with 30, loses 8 so 30-8 is 22 and he gets 16 so 22+16 is 36
What is the domain of the relation?
-4 <= x <= 4
-4 < x < 4
-4 <= x <= 6
-4 < x < 6
Answer:
Step-by-step explanation:
Answer:C->-4<=X<=6
Second answer:A -4<=y<=4
Third answer: yes
According to the given graph, the domain of the function is -4 to 6, So Option C is correct
What are functions?Function is a relation between a set of inputs and a set of outputs which are permissible. In a function, for particular values of x we will get only a single image in y. It is denoted by f(x).
Vertical line test:-
Whenever we want to check whether a given expression is a function or not we can apply a vertical line test, in this test we check for a single image of x , we are getting a single image or more.
If we get more images then it will not be a function.
For example, let us take, y² = 4ax
y = ±√4ax
For single value of x we get two values of y
Hence, it will not be a function.
Given that,
The graph,
Which has values of x in the interval of -4 to 6
And the value of y in the interval of -4 to 4
So, for any function all the values of x for which function is defined
that interval is a domain of a function
And, for input of values of x all the output values of y are known as range of a function
Domain: -4 ≤ X ≤ 6
Range: -4 ≤ Y ≤ 4
Hence, the domain is -4 ≤ X ≤ 6
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Emma is saving to buy a video game console that costs $249. She already saved $60 and plans to save $22 per week. After how many weeks will she have saved enough money for the video game console?
Answer: about 8.6 weeks
Step-by-step explanation:
What is the vertical distance between 580ft above sea level and 200ft below sea level. Help
Answer:
780ft Hope i helped <3
Step-by-step explanation:
Answer:
780 ft
Step-by-step explanation:
you have to think of it as adding the two and not subtracting because they are asking the total distance. The first one is above sea level so it's 580 above sea level. the second one is under sea level so 200 ft under sea level. that means that the total distance if we start from under the sea 200 ft up to the sea level and then another 580 ft to above sea level!
What is the LCM for (x + 3)2(x – 2) and (x + 3)(x2 – 16)? A. (x + 3) B. (x + 3)(x – 2)(x – 16) C. (x + 3)3(x – 2)(x2 + 16) D. (x + 3)2(x – 2)(x2 – 16)
Answer:
2(x-2)(x+3)(x-8)
Step-by-step explanation:
The LCM of [tex](x+3)^2(x-2)[/tex] and [tex](x+3)(x^2-16)[/tex] is x + 3
Option A is correct
The task is to find the LCM of the expressions:
[tex](x+3)^2(x-2)[/tex] and [tex](x+3)(x^2-16)[/tex]
Note that:
[tex](x^2-16)=(x-4)(x+4)[/tex]
Therefore, the expression [tex](x+3)(x^2-16)[/tex] will become:
[tex](x+3)(x-4)(x+4)[/tex]
By considering the expressions [tex](x+3)^2(x-2)[/tex] and [tex](x+3)(x^2-16)[/tex], it is observed that x + 3 is common to both expressions.
Therefore, the LCM of [tex](x+3)^2(x-2)[/tex] and [tex](x+3)(x^2-16)[/tex] is x + 3
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9+10 answer me fast
Answer:
19
Step-by-step explanation:
Answer:
21
Step-by-step explanation:
18) Write an Equation Given the Slope and y-Intercept
The equation for a line has a slope of 1/3 and y-intercept of - 6.
A) y = 1/3x + 6
B) y = 3x - 6
C) y = 1/3x - 6
Answer:
C) y = 1/3x - 6
Step-by-step explanation:
y=mx+b
m=slope
b=y-intercept
1/3=m
-6=b
then plug in the numbers to get: y=1/3x - 6
Hope this helps! :)
The United States Air Force has 21 women for every 100 men enlisted. If a
squadron has 700 members, approximately how many of them are women?
Answer:
147
Step-by-step explanation:
braniest pls
Keith is the team manager for his school's soccer team. He is ordering team uniforms for the upcoming season. • Uni-Fit charges $19.99 per uniform and $30 for packing and shipping. • All-Forms charges $14.99 per uniform and $50 for packing and shipping. Which inequality should Keith use to find n, the minimum number of uniforms that can be ordered so that the total cost at Uni-Fit is less than the total cost at All-Forms? A. 19.9977 80 < 14.9911 | 50 B. 19.99 307 > 14.99-50n C. 19.997 50 14.999 30 D. 19.99 507 14.99 30n please help me ASAP please and thank you so much
Add −1310+25 using the number line.
Select the location on the number line to plot the sum.
Answer:
the answer is -1285
Step-by-step explanation:
unfortunately i do not have a number line but the equation -1310+25 can also be written as 25-1310.
think of it like doing 1310-25 which is positive 1285. because the negative sign is on the bigger number, the answer should be negative, making the sum -1285.
hope this helps!!
Enzo and Beatrice are playing games at their local arcade incredibly ends wins five tickets from every game in the trees wins 11 tickets from every game when they stop playing games Enzo in the trees had won the same number of total tickets what is the minimum number of games that Enzo could have played
Answer:
22 games
Step-by-step explanation:
In order to find the minimum number of games that Enzo played we need to find the least common multiple of tickets where both Enzo and Beatrice are equal. To do this we simply find all the multiples of the number of games each could have played by the number of tickets per game until we find one in common.
5*1 = 5 11*1 = 11
5*2 = 10 11*2 = 22
5*3 = 15 11*3 = 33
5*4 = 20 11*4 = 44
5*5 = 25 11*5 = 55
... ...
... ...
... ...
5*22 = 110 11*10 = 110
Finally, we can see that the minimum amount of games that Enzo needs to play in order for both Enzo and Beatrice to have the same amount of tickets is 22 games.
What scale factor is required to dilate triangle abc to make it congruent to triangle efd
Answer:
And so, in fact, we can perform a series of similarity transformations that map to . And so, the answer is yes, triangle would need to be dilated by a scale factor of three, rotated, and then reflected.
Step-by-step explanation: