Answers
3x+2y=19
Caryl:
2x+4y=24
now use elimination
-2(3x+2y=19)
1(2x+4y=24)
=
-6x-4y=-38
2x+4y=24
add them together
which equals -4x=-14
divide both sides by -4
-4x/-4=-14/-4
x=7/2
we found x, so we subsitute it into the the original equation
3x+2y=19
3(7/2)2y=19
2y+21/2=19
-21/2 -21/2
2y=17/2
divide by 2 on both sides
2y/2= 17/2/2
y=17/4
so x= 7/2 and y= 17/4
Related Questions
Consider the sequence 3, 6, 12, 24, 48, .... (a) Write a recursive rule to represent the sequence. (b) Write an explicit rule to represent the sequence. (c) Find the 15th term in the sequence.
Answers
Answer:
a. a[1] = 3; a[n] = 2a[n-1]
b. a[n] = 3·2^(n-1)
c. a[15] = 49,152
Step-by-step explanation:
Each term of the given sequence is 2 times the previous term. (This description is the basis of the recursive formula.) That is, the terms of the given sequence have a common ratio of 2. This means the sequence is geometric, so the formulas for explicit and recursive rules for a geometric sequence apply.
The first term is 3, and the common ratio is 2.
(a)The recursive rule is ...
a[1] = 3
a[n] = 2×a[n-1]
__
(b)The explicit rule is ...
a[n] = a[1]×r^(n-1)
a[n] = 3×2^(n-1)
__
(c)The 15th term is ...
a[15] = 3×2^(15-1) = 3×2^14
a[15] = 49,152
Please help me ASAP!!!!!!!!!!
Answers
Step-by-step explanation:
G(-5,4)==========G'(5,4)
Hello!
If we reflect a point over the y-axis, then we change the sign on the x-coordinate of the point.
If we have a point (1, 2) and we reflect it over the y-axis, we now have a point (-1, 2)
So the point's y-coordinate hasn't changed.
Here we have a point
(-5, 4)
Its x-coordinate is -5. Change its sign:
(5, 4)
Remember, the x-axis is horizontal, and the y-axis is vertical.
I can't graph the point, but I can give you some tips.
Hope everything is clear.
Let me know if you have any questions!
#KeepOnLearning
:-)
I need this plss
(will give brainliest)
Answers
Answer:
-2, 3
Step-by-step explanation:
solve each of the following equations
1)x+8-15
Answers
Answer:
x - 7
Step-by-step explanation:
x + 8 - 15
Subtract 15 - 8 = 7
x - 7
~Lenvy~
HeLp
What is the first step in solving the equation n/-2. 25=15. 6 ?
multiply both sides of the equation by n/-2. 25
multiply both sides of the equation by 15. 6
divide both sides of the equation by -2. 25
divide both sides of the equation by 15. 6
Answers
Answer:
Multiply both sides of the equation by n/-2.25
Step-by-step explanation:
[tex]\frac{n}{-225}=15.6[/tex]
[tex]\mathrm{Multiply\:both\:sides\:by\:}-2.25[/tex]
[tex]\frac{n\left(-2.25\right)}{-2.25}=15.6\left(-2.25\right)[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]n=-35.1[/tex]
~lenvy~
Answer:
The answer is A. (multiply both sides of the equation by n/-2.25).The final answer is n=-35.1.Step-by-step explanation:
To solve this problem, first, you have to isolate the term of n from one side of the equation.
[tex]\sf{\dfrac{n}{-2.25}=15.6 }[/tex]
The only way to solve this is to multiply both sides by -2.25.
[tex]\sf{\dfrac{n(-2.25)}{-2.25}=15.6(-2.25) }[/tex]
After that, you solve.
Multiply the numbers from left to right.
[tex]\sf{15.6(-2.25)=\boxed{\sf{-35.1}}[/tex]
n=-35.1Don't forget to use a variable for your final answer.
Therefore, the correct answer is n=-35.1 and A. multiply both sides of the equation by n/-2.25.I hope this helps you! Let me know if my answer is wrong or not.
What is the value represented by the digit 8 after 7,824 is divided by 10
Answers
Answer:
See below.
Step-by-step explanation:
7,824/10=782.4
782.4
|
The 8 is in the tens place. It represents 80.
-hope it helps
Answer:
80
Step-by-step explanation:
7824÷10=782.4
Therfore the 8 is in the tens place meaning that the 8 in this is 80
Need help on my problem
Answers
Answer:
Step 1: 2*5 - 4y = 2
Step 2: 10 - 4y = 2
Step 3: -4y = -8
Step 4: y = 2
Step-by-step explanation:
Based on the lengths of the segments in the hyperbola below, how long is the dashed line? Show your work.
Answers
Check the picture below.
keeping in mind that the difference of the distances of d1 and d2 is always a consistent constant value, as you can see in the left-hand-side of the picture, if we keep on sliding on the hyperbolic line shrinking d2 from being slanted to be horizontal, once we put d1 and d2 on a horizontal line, as you see on the right-hand-side, if we subtract the pink line from the orange line, what's leftover is, yeap, you guessed it.
Cameron will spend $285.00 for a car repair. He has $277.00 in the account linked to his debit card. The bank charges a $7 penalty fee per day for using his debit card to make a purchase if he does not have enough funds in his account. What will he pay altogether if he chooses to use his debit card and does not put any more money in his account for 6 days?
Answers
Using proportions, considering the daily penalty fee paid, it is found that he will pay $50 altogether.
What is a proportion?A proportion is a fraction of a total amount.
In this problem, since he will spend $285.00, having $277.00, he will be $8.00 in debt.
He will pay a penalty fee of $7.00 per day for 6 days, along with the $8.00, hence the total payment in dollars will be given by:
P = 6 x $7.00 + $8.00 = $50.00.
More can be learned about proportions at https://brainly.com/question/24372153
Area of square= 625 m sq Perimeter =??
Answers
Answer:
100 m
Step-by-step explanation:
Given :
Area of square = 625 m²#1) Finding the side length
Area = (side length)²⇒ side length = √Area⇒ side length = √625⇒ side length = 25 m#2) Calculating perimeter
Perimeter = Total length of the sides of the shapePerimeter = 4 x side length [a square has 4 equal sides]⇒ Perimeter = 4 x 25⇒ Perimeter = 100 mAnswer:
100 m.
Step-by-step explanation:
So the area of a square (or any rectangle) is length (l) x width (w). Additionally, all sides of a square are the same length. So if your area is 625 m sq, then one side length would be the square root of 625, which is 25.
So, as we know that one side length is 25 m, and that the perimeter is all side lengths added together, and that a square has four equal sides,
we can add the four lengths of 25 together: (4)(25) [25+25+25+25].
(4)(25) = 100.
The perimeter of the square is 100 m.
Marley bought four bandannas for $3.00 each and two shorts for $15.00
each. If she pays 8.5% sales tax on her purchase, what is her total cost?
Answers
Answer:
45.57
Step-by-step explanation:
We first need to multiply :)
4 x 3.00 = 12.00
15.00 x 2 = 30.00
Now we add!
12.00 + 30.00 = 42.00
And we multiply one more time to find the answer!!
42 x 0.085 = 3.57
And we now add one more time!!
42.00 + 3.57 = 45.57
The answer will be $45.57. :)
Have an amazing day!!
Please rate and mark brainliest!!
The cylinder shown has a volume of 733 cubic inches.
a. What is the radius of the cylinder?
The radius of the cylinder is ?
(Round to the nearest tenth if needed)
Answers
Answer:
Your answer is 4.72
Use the formula:V=πr2h
PLEASEE answerrrrrr
Answers
A politician estimates that 61% of his constituents will vote for him in the coming election. How many constituents are required for a random sample to obtain a margin of error of at most 0. 03 with 95% confidence
Answers
Using the z-distribution, as we are working with a proportion, it is found that 1016 constituents are required.
What is a confidence interval of proportions?A confidence interval of proportions is given by:
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which:
[tex]\pi[/tex] is the sample proportion.z is the critical value.n is the sample size.The margin of error is given by:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In this problem, we have a 95% confidence level, hence[tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so the critical value is z = 1.96.
The estimate is of [tex]\pi = 0.61[/tex], while the margin of error is of M = 0.03, hence solving for n we find the minimum sample size.
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.03 = 1.96\sqrt{\frac{0.61(0.39)}{n}}[/tex]
[tex]0.03\sqrt{n} = 1.96\sqrt{0.61(0.39)}[/tex]
[tex]\sqrt{n} = \frac{1.96\sqrt{0.61(0.39)}}{0.03}[/tex]
[tex](\sqrt{n})^2 = \left(\frac{1.96\sqrt{0.61(0.39)}}{0.03}\right)^2[/tex]
[tex]n = 1015.5[/tex]
Rounding up, 1016 constituents are required.
More can be learned about the z-distribution at https://brainly.com/question/25890103
Ali played on his PSP for 3/4 hour.
He then did his homework for 2/3 hour.
On which activity did he spend more time on ?
Answers
Answer:
Ali played on his PSP longer
Step-by-step explanation:
3/4 of an hour is long than 2/3 because 3/4 of an hour is 45 minutes and 2/3 of an hour is 40 minutes and 45 > 40
Is this equation an identity? (2x+1)^2-(x+1)^2=3(x+1)^2-1
Answers
Answer:
See below, please
Step-by-step explanation:
Left side
[tex] {(2x + 1)}^{2} - {(x + 1)}^{2} [/tex]
[tex] = (4 {x}^{2} + 4x + 1) - ( {x}^{2} + 2x + 1)[/tex]
[tex] = (4 {x}^{2} - {x}^{2} ) + (4x - 2x) + (1 -1 )[/tex]
[tex] = 3 {x}^{2} + 2x[/tex]
Right side
[tex]3 \times {(x + 1)}^{2} - 1[/tex]
[tex] = 3 \times ( {x}^{2} + 2x + 1) - 1[/tex]
[tex] = 3 {x}^{2} + 6x + 3 - 1[/tex]
[tex] = 3 {x}^{2} + 6x + 2[/tex]
After compared with both sides, we can make a conclusion that
This equation isn't an identity.
A deposit earns $102 after 36 months at a simple interest rate of 5%
What is the time and total value
Answers
Answer:
285.6
Step-by-step explanation:
formula= I=PRT
i=?
p=102
r=5
t=36 months
5=0.05
102(1+(0.05x36)=285.6
Answer:
Step-by-step explanation: 276.9
At the state fair, 2 bags of mini donuts and 4 turkey legs cost $18.50. for $13.75, you can buy 3 bags of mini donuts and 2 turkey legs.using these amounts, which system of equations can be used to find the cost of 1 bag of mini donuts?
Answers
Let Mini donut be D
Let turkey legs be T
(2D + 4T = 18.50)*3
(3D + 2T = 13.75)*2
6D + 12T = 55.50
-6D + 4T = 27.50
8T = 27.5
T = 3.5 The turkey leg is 3.5$
2D + 4(3.5) = 18.50
2D + 14 = 18.50
2D = 4.5
D=2.25
The cost of one mini donut would be 2.25$
Are my answers correct?
Answers
Answer:
Check the last answer...
Step-by-step explanation:
Look at image above...
A ball is thrown from an initial height of 4 feet with an initial upward velocity of 33 ft/s. The ball's height h (in feet) after t seconds is given by the following.
h= 4 + 33t - 16t^2
CAN SOMEONE PLEASE PLEASE HELP ME
Find all values of t for which the ball's height is 20 feet.
Round your answer(s) to the nearest hundredth.
Answers
Answer:
Two methods both tell us the ball is at 20 feet height at 0.783 seconds going up and 1.28 seconds on the way down.
Step-by-step explanation:
The question can be answered by either calculation or by graphing.
Calculation:
Set the equation to h = 20 feet and solve with the quadratic equation.
h= 4 + 33t - 16t^2
4 + 33t - 16t^2 = 20
- 16t^2 + 33t + 4 = 20
- 16t^2 + 33t - 16 = 0
I find solutions of 0.779 and 1.28 seconds.
Graphing:
See the attached graph.
The graph shows solutions of 0.783 and 1.28 seconds.
Both methods show the ball to be at 20 feet height at 0.783 seconds going up and 1.28 seconds on the way down.
3x + 10 is greater than or equal to 30
Answers
Answer:
x∈[20/3;+∝).
Step-by-step explanation:
3x+10≥30; ⇔ 3x≥20; ⇔ x≥20/3
What is the area of the following figure?
17.6 mm
Answers
Step-by-step explanation:
Area = (17.6)²mm²
=309.76 mm²
How many solutions does the equation 5x + 3x − 4 = 10 have? (4 points) Zero One Two Infinitely many
Answers
Hey there!
Let's solve this equation.
5x+3x-4=10
add the x's
8x-4=10
add 4 to both sides
8x=10+4
8x=14
divide both sides by 8
x=14/8
Reduce the fraction;
x=7/4 (improper fraction)
x=1+3/4 (mixed number)
Hence, the equation has 1 solution.
Hope everything is clear.
Let me know if you have any questions!
#ILoveLearning
:-)
Answer:
i presume it has
Step-by-step explanation:
only 1 solution.
combine like terms & then solve
please help QUICK I WILL GIVE YOU BRAINLIST
Answers
Answer:
P = 59°Step-by-step explanation:
What steps are used to solve this equation?
6f = 48
Complete each statement.
First,
on both sides of the equation.
Next, simplify the equation to determine that the solution of the equation is
.
Check the solution by substituting
for f and simplifying.
Answers
Answer:
F=8
Step-by-step explanation:
6f=48
Divide each side by 6
f=8
Substiuite
8x6=48??
Yes
Step-by-step explanation:
Simplifying 6f = 48 Solving 6f = 48 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Divide each side by '6'. f = 8 Simplifying f = 8
The table displays the scores of students on a recent exam. Find the mean of the scores to the nearest ioth. Score Number of Students 55 8 60 6 65 3 70 4 75 9 80 3 85 3 90 4
Answers
Answer:
38.75
Step-by-step explanation:
Not sure what you mean by ioth but when you add up all the numbers and divide by n, you get 38.75 (hopefully you can round it to whatever you want)
What is the value of angle h? How do you know (what type of angle pairs are they)?
Answers
Answer:
can you provide an image?
Step-by-step explanation:
solve pls brainliest
Answers
Answer:72
Step-by-step explanation:6 x 12=72
Compare to 0:
-x^2 + 10x - 25
Answers
Answer:
x = 5
Step-by-step explanation:
-x² + 10x - 25 = 0
x = {-10±√((10²)-(4*-1*-25) / (2*-1)
x = {-10±√(100-100)} / -2
x = {-10)/-2
x = 5
Comprobación:
- (5²) + 10*5 - 25 = 0
-25 + 50 - 25 = 0
If 2a+2/a=4, what is the value of 2a^2+2/a^2
Answers
Answer:
4
Step-by-step explanation:
2a + 2 / a = 4
2a + 2 = 4a
4a - 2a = 2
2a = 2
a = 1
2a² + 2 / a²
a = 1
2(1²) + 2 / 1²
2 + 2 / 1
4