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
What is the solution to the following system of equations y=2x-4 Y=x
Answer: (4,4)
Step-by-step explanation:
Hope this helps
Can someone help me photo is above
Answer: 9x + (-1)
Step-by-step explanation:
(7x + 2x) + (2 -3)
9x + (-1)
Answer:
14x²-17x-6
Step-by-step explanation:
multiply (7x+2)(2x-3)
(1) multiply 7x and 2x =14x²
(2) multiply 7x and -3 = -21x
(3) multiply 2 and 2x= 4x
(4) multiply 2 and -3 = -6
Last step: add all answers from step 1 to 4
: 14x² +(-21x)+4x+(-6)
answer: 14x²-17x-6
HELP PLS UHM 15 POINTS AND Brainliest
Answer:
(0,2)
Step-by-step explanation:
The intercept is the part of the line touching the quadrat.
Answer:
B (0,2)
Step-by-step explanation:
Because if its on the red line on the y axis its 2.
3.) Light travels at a speed of 1.25 x 107 miles per minute. Pluto's average distance from the
Sun is about 3,550,000,000 miles. On average, how long does it take sunlight to reach Pluto?
I have no idea whether those numbers are correct, and I'm not gonna bother looking them up.
But you gave us a speed and a distance, and you asked for a time.
We can just go ahead and use the formula: Time = (distance) / (speed) .
IF your numbers are true, then
Time = (distance) / (speed)
Time = (3.55 x 10⁹ mi) / (1.25 x 10⁷ mi/min)
Time = (3.55 x 10⁹ / 1.25 x 10⁷) minutes
Time = 2.84 x 10² minutes
Time = 284 minutes
Time = 4 hours 44 minutes
What is the value of for -6a^-3b^2 for a=-2 and b=4?
Easy buddy....
[tex] - 6 \times ({ - 2})^{ - 3} \times ({4})^{2} = [/tex]
[tex] - 6 \times ({ - \frac{1}{2} })^{3} \times 16 = \\ [/tex]
[tex] - 6 \times ( - \frac{1}{8}) \times 16 = \\ [/tex]
16 simplifies to by 8 and equals 2
[tex] - 6 \times ( - 2) = 12[/tex]
_________________________________
And we're done.
Thanks for watching buddy good luck.
♥️♥️♥️♥️♥️
Each month, Arnold receives $1,050 for working part-time at his uncle's camera store.
For each camera that he sells, he earns a $125 bonus. Which equation can be used to
find Arnold's total monthly paycheck, P(x), based on the number of cameras that he
sells, x?
Brandon goes to the fair with $25.00. He spends $4.00 to get in and the rest on tickets for rides. Each ride ticket costs $1.50. How many ride tickets does brandon buy? Explain how you got your answer below.
Answer:
14
Step-by-step explanation:
$25.00 - $4.00 = $21.00
$21.00 / $1.50 = 14
Answer:
14 ride tickets
Step-by-step explanation:
He has $25, and spends $4. So 25 - 4 = 21. Each ride ticket is $1.50. So 21 ÷ 1.50 = 14
PLEASE HELP!! (I'LL GIVE BRAINLY!)
Answer:
x inntercept is 2
Step-by-step explanation:
Is the answer yes or no that’s all I want to know #Respectfully
Answer:
What your question?
Step-by-step explanation:
Answer:
I think the question is yes
Please answer correctly !!!!!!!!! Will mark brainliest !!!!!!!!!!!!! Show your work !!!!!!!!!!!!
.806 divided by 1.3 I need the stepsssss
Answer
.62
Step-by-step explanation:
im sorry i cannot provide the steps but using a calculator you can conclude .62
Answer:
0.806 ÷ 1.3
=
806
1000
÷
13
10
=
806
1000
×
10
13
=
806 × 10
1000 × 13
=
8060
13000
=
8060 ÷ 260
13000 ÷ 260
=
31
50
While scuba diving, Alex counted the number of sea turtles and jellyfish he saw. After a few minutes, he counted 4 sea turtles and 12 jellyfish. This ratio remained constant during the remainder of his dive. Fill in the parts of the equation that models the relationship between jellyfish, and sea turtles.
Answer:
Down Bellow
Step-by-step explanation:
1 to 3
4 to 12
8 to 24
14 to 42
20 to 60
Part B
J = 3x t
Answer Prt B: 3x
Answer Part A: ^
|
The equation 3x =y models the relationship between jellyfish, and sea turtles such that the ratio of their numbers remain constant.
What is ratio?Ratio is the relationship between two numbers given by a quotient
If the ratio of two numbers x and y is x/y then the fraction x/y gives that what parts x is of y .
Given that there are 4 sea turtle and 12 jellyfish in the sea when Alex counted the number.
Ratio of number of sea turtle to number of jellyfish = 4/12 = 1/3
Let at any time the number of sea turtles be x and number of jellyfish be y
Then ratio of number of sea turtles to jellyfish = x / y
Given that this ratio remained constant during the remainder of his dive,
∴ x/y = 1/3
Cross multiply
⇒ 3x = y
The equation that models the relationship between jellyfish, and sea turtles is 3x =y
Also, learn more about ratio from the link below:
https://brainly.com/question/13419413
#SPJ2
Jackie drinks a bottle of water and a bottle of orange juice every morning the bottle of water has 16.9 the bottle of orange juice has 15.2 which is the best estimate for the total amount jackie drinks in the morning for an entire week and gives a good explanation for that estimate
Answer:
224.7clStep-by-step explanation:
Ok, noticed that the bottles are not properly given a unit according to the question.
let us assume the units are in centiliters that is cl
Every morning the bottle of water has 16.9cl
the bottle of orange juice has 15.2cl
therefore if Jakie does this drinking continuously for 7 days she will be drinking
bottle of water has 16.9cl*7= 118.3cl
bottle of orange juice has 15.2cl*7=106.4cl
total=118.3+106.4
total is 224.7cl
Sturdy the diagram
Value of
Step-by-step explanation:
5x + 2 = 50 - x (vertically opp angle)
5x + x = 50 - 2
6x = 48
x = 8
if you wanna check it,
5x + 2 = 50 - x
5(8) + 2 = 50 - 8
40 + 2 = 42
42 = 42
Someone help me im struggling.
Find the length of d in the figure below if a = 8 in., b = 3 in., and c = 4 in. Round your answer to the nearest tenth.
Answer:
Let's see what to do buddy...
Step-by-step explanation:
_________________________________
Step (1)
First we find the diameter ((h)) of the rectangle on the floor using the Pythagorean theorem.
So we have :
[tex] {h}^{2} = {a}^{2} + {b}^{2} [/tex]
[tex] {h}^{2} = 64 + 9 [/tex]
[tex] {h}^{2} = 73 [/tex]
[tex]h = \sqrt{73} [/tex]
_________________________________
Step (2)
Now we another using of Pythagorean theorem for finding d :
[tex] {d}^{2} = {h}^{2} + {c}^{2} [/tex]
[tex] {d}^{2} = 73 + 16 [/tex]
[tex] {d}^{2} = 89 [/tex]
[tex]d = \sqrt{89} [/tex]
[tex]d = 9.4[/tex]
_________________________________
And we're done.
Thanks for watching buddy good luck.
♥️♥️♥️♥️♥️
what is the slope of the line that passes through 2,-1 and 2,-5
Answer:
Undefined.
Step-by-step explanation:
When using the formula y2-y1/x2-x1, the result comes out as -4/0. Any number over a 0 is undefined.
Drag each tile to the correct location on the table. Each tile can be used more than once, but not all tiles will be used.
Choose the justification for each step in the solution to the given equation.
multiplication property of equality
subtraction property of equality
division property of equality
addition property of equality
simplification
Multiple tiles can be used.
From up to down in justification :
1) Subtraction property of equality
2) Simplification
3) Subtraction property of equality
4) Simplification
5) Division property of equality (( I'm not sure))
6) Simplification
Answer:
Subtract
simp
subtract
simp
multiply
simp
Step-by-step explanation:
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
rafael ramirez is the lead food and beverage supervisor at a small restaurant. he is paid 14.40 an hour for a regular 40 hour week. his overtime pay is 1 1/2 times his regular hourly rate
Answer:
the amount that he would make in a week is $576.00
Step-by-step explanation:
14.40 * 40 4*0=0
0*0=0 4*4=16
0*4=0 4*4+1=17
add the decimal 4*1+1=5
0*4=0
0*1=0 Then you add and you
then you move on to the tens digit get a total of $576.00
The new number, 200, is 400 less than the original number. What is the approximate percent change?
The percent change is approximately 0.6%.
The percent change is approximately 1.5%.
The percent change is approximately 66%.
The percent change is approximately 150%.
Answer:
The percent change is approximately 66%.
Step-by-step explanation:
200 is one-third of 600. In math involving percentages, division comes into play in some ways. Divide 600 by 3, and you get 200. 33% is a third of 100% in mathematics, meaning that 200 is one-third, or 33%, of 600.
Answer:
the answer is 66
Step-by-step explanation:
i just did the test
A number to the 12th power divided by the same number to the 9th power equals 343. What is the number?
Find the length of each colored line
Answer:
1: 2cm
2: 5cm
Step-by-step explanation:
Answer:
First one is 2, second is 5
Step-by-step explanation:
Three times a number that is decreased by four is sixty-two. Find the number.
Answer: 22
Step-by-step explanation: (22 x 3) -4 = 62
help please i’m really stuck and i need help please
james and bethany morrison are celebrating their 10th anniversary by having a reception at a local reception hall. they have budgeted $2.500 for their reception. if the reception hall charges a $100 cleanup fee plus $33 per person, find the greatest number of people that they may invite and still stay within their budget
Answer:
72 guests
Step-by-step explanation:
2 500$ - 100$ {divided by} 33$ = 72.73 = 72 (round down)
How many angles are supplementary to the angle of 100 degrees?
Answer:
I think its 2 good luck
Step-by-step explanation:
Answer:
100 degrees and 80 degrees are supplementary angles
Step-by-step explanation:
2 angles are supplementary if they add up to 180 degrees
In the function above, the slope will be multiplied by -9, and the y-value of the y-intercept will be increased by 2 units. Which of the following graphs best represents the new function? if u need the choice ill give them to u
Answer:
Step-by-step explanation:
I can give you the key points to look for without the graph. You'll have to do that.
New y intercept
The intercept increases by 2. Currently it is 2. The new y intercept is 2 + 2 = 4
The new Slope
The slope is multiplied by - 9. Currently it is (y2-y1)/(x2 - x1) = (2-0)/(0-6) = 2/-6= - 1/3
This is multiplied by - 9
-9*(-1/3) = 3
New equation
y = 3x + 4
x intercept.
The x intercept occurs when y = 0.
0 = 3x + 4
-4 = 3x
-4/3 = x
Discussion
What you are looking for is a line that goes through two points
(0,4) and
(-4/3,0)
Answer:
I believe its
D. Y
Step-by-step explanation:
hope this is correct
please give me brainiest if correct
I just checked that the answer is correct
So this is the right answer by the ways!
__ = 4
22 8
Anybody know???
Helps me solve this problem please 8
Answer:
Hey Buddy! Part 8 would be just to put the y on the y axis, put the x on the x axis, and with the numbers just put them on the line in order, 1,2,3,4,5,6,7,8,9,10
Step-by-step explanation:
passes through (-7, -4) parallel to y=1/2x+9
Answer:
y = 1/2x -.5
Step-by-step explanation:
We know that is the line is parallel to the equation then the slopes are going to be the same we just have to find the a different y-intercept.
It's a simple as this just plug the points into the equation you have like this.
(-7,-4) (PLUG IN)
-4 = 1/2(-7) +b (I do plus be so we can get another y intercept)
-4 = -3.5 + b (add 3.5 on each side)
-.5 = b
the equation parallel to the first one is...
y = 1/2x -.5
