Answer:
Step-by-step explanation:
x + 3y = 15 ×4
4x + 2y = 30 ×1
4x + 12y = 60
- - -
4x + 2y = 30
10y = 30
y = 30/10
y = 3
To solve for x, substitute y = 3 into any of the equations
x + 3(3) = 15
x + 9 = 15
x = 15 - 9
x = 6
(6,3)
This should be the answer but I don't see that in the options u listed, so I don't know what else it should be.
The required solution to the system of equations is (x, y) = (6, 3).
Given the system of equations:
x + 3y = 15
4x + 2y = 30
Multiply Equation 1 by 2 to make the coefficients of y in both equations equal:
2(x + 3y) = 2(15)
2x + 6y = 30
Subtract Equation 2 from the modified Equation 1 to eliminate the variable x:
(2x + 6y) - (4x + 2y) = 30 - 30
-2x + 4y = 0
Divide the resulting equation by 2 to simplify it further:
-x + 2y = 0
Now, we have a new equation:
3) -x + 2y = 0
Add the new Equation 3 to the original Equation 1 to eliminate the variable x again:
(x + 3y) + (-x + 2y) = 15 + 0
5y = 15
Solve for y:
y = 15 / 5
y = 3
Now, substitute the value of y back into Equation 1 to find x:
x + 3(3) = 15
x + 9 = 15
x = 15 - 9
x = 6
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What is 8,980,000 in scientific notation
Answer: 8.98 × 10⁶
...................................
Pls help me on this problem I’m confused
Answer:
1 pound = 16 ounces
3 × 16 = 48 ounces
48 + 12 = 60
60 ÷ 6 ounces a week = 10 weeks
What is the value of the function at x=−2?
y=−2
y = 0
y = 2
y = 3
Answer:
3
Step-by-step explanation:
hope it is right and is helpful
Kevin bought 5 tickets to a concert for 125$
Question 4
Marcus receives $800 from his grandmother,
He decides to spend $150 and to divide the remaining S650 in the ratio
savings : holiday 9:4.
Calculate the amount of his savings.
Answer:
4.3722893i4u37738jdjd8ddjdijdej
Lonnie is considering doing some long term investing with money that she inherited. She would like to have $50,000 at the end of 30 years. Approximately how much money would Lonnie need to put into an account earning 6% interest compounded annually in order to meet her goal? a. $8,706 b. $9,000 c. $27,778 d. $40,690
Answer:
$8,706
Step-by-step explanation:
Lionnel is considering doing some long term investments with the money she inherited
She would like to have $50,000 at the end of 30 years
The interest is 6%
Therefore the amount that Lionnel would need to put into the account can be calculated as follows
A= P(1+r)^t
50,000 = P(1+6/100)^30
50,000 = P (1+0.06)^30
50,000 = P(1.06)^30
50,000= 5.7434P
P = 50,000/5.7434
P= $8,706
Hence Lionnel will need to put $8,706 into an account earning 6% interest
Answer:
It's A-$8,706 :))
Step-by-step explanation:
Janet has 3 cube-shaped boxes. Each box has a side length of 10 inches. What is the minimum amount of wrapping paper needed, in square feet, to wrap all 3 boxes
Answer:anyone here watch anime
Step-by-step explanation:
EREN JEAGER
The minimum amount of wrapping paper needed, in square feet, to wrap all 3 boxes is 12.5 square feet.
Side of each cube = 10 inches
Number of cubes =3
As we know The minimum amount of wrapping paper needed, in square feet, to wrap all 3 boxes will be the total surface area of all 3 boxes.
What is the total surface area of a cube?The total surface area of a cube with side a is 6a².
So, the total surface area of a cube with a side of 10 inches will be 6*10² = 6*100 = 600 square feet.
So, the total surface area of 3 cubes with a side of 10 inches will be 600*3 = 1800 square inches.
As we know that 1 square inch = 0.00694444 square feet
So, 1800 square inches = 1800*0.00694444 = 12.5 square feet.
Therefore, the minimum amount of wrapping paper needed, in square feet, to wrap all 3 boxes is 12.5 square feet.
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good evening! Can someone please answer this, ill give you brainliest and your earning 50 points. Would be very appreciated.
Answer:
Information
General form of an exponential function: [tex]y=ab^x[/tex]
where:
[tex]a[/tex] is the y-intercept (or initial value)[tex]b[/tex] is the base (or growth factor)[tex]x[/tex] is the independent variableAlso, growth rate [tex]r=b-1[/tex]
Domain: input values - independent variable ⇒ [tex]x[/tex]
Range: output values - dependent variable ⇒ [tex]y[/tex]
y-intercept: when [tex]x=0[/tex]
Asymptote: the line(s) that the curve approaches as it tends towards infinity
Given function: [tex]f(x)=200(1.08)^x[/tex]
Solution
Domain: [tex]-\infty < x < +\infty[/tex]
Range: [tex]y > 0[/tex]
y-intercept ([tex]a[/tex]): [tex](0, 200)[/tex]
Asymptote: [tex]y=0[/tex]
Growth Rate ([tex]b-1[/tex]): [tex]0.08[/tex]
Growth Factor ([tex]b[/tex]): [tex]1.08[/tex]
End behaviors:
[tex]\textsf{as } x \rightarrow -\infty, f(x) \rightarrow0[/tex]
[tex]\textsf{as } x \rightarrow +\infty, f(x) \rightarrow+\infty[/tex]
Selena made pancakes for an all-day breakfast fundraising event. She made 132 pancakes in 4 hours. On average, how many pancakes did Selena make per hour?
Answer: 33
Step-by-step explanation:
Divide 132 and 4,
132 divided by 4 equals 33
For a given show, a theater charges $80 for a premium ticket and $30 for a regular ticket. If a total of n tickets were sold and p of them were premium tickets, what is the total amount, in dollars, from the sale of regular tickets and premium tickets?
Please explain the process.
Answer:
50p + 30n
Step-by-step explanation:
Cost of each premium ticket = $80.
Cost of each regular ticket = $30
Total tickets sold = n
We are told that p tickets were sold. Thus;
Total tickets sold is; p + (n - p)
Thus total amount generated is;
T = 80p + 30(n - p)
T = 50p + 30n
For which polygon is the sum of the exterior angles equal to 360o?.
Answer:
equiangular polygons
Step-by-step explanation:
The sum of exterior angles in a polygon is always equal to 360 degrees. Therefore, for all equiangular polygons, the measure of one exterior angle is equal to 360 divided by the number of sides in the polygon.
The local newspaper has letters to the editor for 40 people if this is the number represents 5% of all the newspaper readers how many readers does the newspaper have. fill in the blanks
40/5= 8 8 is 1% of the total people, 1% x 100 = 100%
8 x 100 = 800 people
The answer to this question would be: The newspaper has Eight hundred readers.
Part = Percent x Whole
40 = 5% x 800
Do the equation above to make sure your correct( it is) and if it doesn't come back to 40 then your math is incorrect and you have the incorrect answer
Do that with all math that your trying to find the whole for, its a helpful thing.
Find the missing number in this proportion. 9 = 18/32
I need help with 8,9,10 please Instructions: factor these trinomials BRAINLY!!!!!!!!!! 20 points!!!!!!!!
Step-by-step explanation:
8: (y-6) (y+8)
steps: m + n = 2 and m×n = -48 so m is 8 and n is -6
9: (m-8)(m+2)
same steps for the first
10: (x-7)(x+2)
comment if you need any further help.
Write in standard form
820000000
Answer:
820000000 in standard form - Brainly.inhttps://brainly.in › Math › Secondary School
Step-by-step explanation:
Urgent!!
Explain how you got the answer in details
Answer:
above is the solution to the question
plsssssssssssssss
help
really urgent
thank you
reward: follow, heart and brainliest
Write the equation y=3/4x-4 in standard form
Answer:
-3x+4y=-16
Step-by-step explanation:
Can anyone help me please
Answer:
NM = [tex]\sf \sqrt{70}[/tex]
Step-by-step explanation:
Let NM = y
If KL is twice the length of NM, then KL = 2y
Given:
KM = 20NO = 7As ΔKLN ~ ΔNOM
KL : KM = NO : NM
[tex]\sf \implies 2y : 20 = 7 : y[/tex]
[tex]\sf \implies \dfrac{2y}{20}=\dfrac{7}{y}[/tex]
[tex]\sf \implies 2y \cdot y=7 \cdot 20[/tex]
[tex]\sf \implies 2y^2=140[/tex]
[tex]\sf \implies y^2=70[/tex]
[tex]\sf \implies y=\sqrt{70}[/tex]
As NM = y, then NM = [tex]\sf \sqrt{70}[/tex]
Answer:
NM = [tex]\sqrt{70}[/tex]
Step-by-step explanation:
Δ NMO and Δ KML are similar ( by the AA postulate )
Then the ratios of corresponding sides are in proportion, that is
[tex]\frac{NM}{KM}[/tex] = [tex]\frac{NO}{KL}[/tex] ( substitute values, noting KL = 2NM )
[tex]\frac{KM}{29}[/tex] = [tex]\frac{7}{2NM}[/tex] ( cross- multiply )
2 NM² = 140 ( divide both sides by 2 )
NM² = 70 ( take the square root of both sides )
NM = [tex]\sqrt{70}[/tex]
You have $45 in your piggy bank each week you put in another $12 from your allowance write an equation that shows the number of weeks W it will take to have $105 in your piggy bank
Solving a linear equation we will see that after5 weeks you will have $105 on your piggy bank.
How many weeks until you have $105 in your piggy bank?We know that it starts ar $45, and then you add $12 each week. Then the amount of money after W weeks is modeled by the linear equation:
y = 12*W + 45
You will have $105 when the value of y is 105, replacing that we get the equation below:
105 = 12W + 45
105 - 45 = 12W
60 = 12W
60/12 = W
5 = W
You will have $105 on your piggy bankafter 5 weeks.
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Find the area and perimeter of the bold triangle
Answer:
area=368
perimeter=49
Step-by-step explanation:
17 x 24 = 368
17 + 24 = 41
41 + 8 = 49
Solve x-4<3. Graph the solution
Step-by-step explanation:
I hope this helps you on your question
A car leaves at 9 : 00 a.m. and drives at a constant speed. It is 20 miles from its starting point at 9 : 30 a.m. At what time will the car be 200 miles from its starting point?
PLSSSS HELP
Answer:
2:00 PM
Step-by-step explanation:
I figured out that the car is going 40 mph seeing as how it went 20 miles in 30 minutes.
I used this and found out how many hours it would take to get to 200 miles at this rate:
200/40 = 5
I divided 40 by 200 as 200 is the end goal and the car is going 40 mph.
The 5 is 5 hours, so I added 9 and 5 to get 14 which is 2:00 PM
Hope this helps!! :)
Pls help!
Identify the range of the function shown in the graph.
Thanks
Answer:
A
Step-by-step explanation:
Range is all y values of a graph and seeing that it has no arrows means its not infinite so its not B. The graph starts at 0 and ends at 5 so the smallest value is 0 and the largest is 5 therefore making the answer A.
help with quadratic equations
Answer:
Step-by-step explanation:
Discriminant = b² - 4ac
a = 3 ; b = 24 and c = 48
Discriminant = 24² - 4*3*49
= 576 - 576
= 0
As discriminant is 0, there is only 1 real root.
1,368 divided by 12. Please help
Answer:
114
Step-by-step explanation:
Answer:
114
Step-by-step explanation:
because desmos. com/ scientific
Some decimals are rational numbers and some are irrational. Which decimal does NOT represent a rational number?
A. 1.25
B. 1.22222...
C. 0.555555
D. 6.01001000100001...
Answer:
D
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
Just solve for 50 points and brainliest!
10-5+3=
6-4+10=
Answer:
10-5+3=8
Step-by-step explanation:
6-4+10=12
Answer:
number 1 - 10-5+3=8
number 2 - 6-4+10=12
During math class last week, Terrence was asked to determine if the equation shown has no solution, one solution, or infinitely many solutions 101 - 6+ 2. = 4(3x - 1) - 2 Terrence concluded that the equation has infinitely many solutions Determine if Terrence's conclusion is correct that the equation has infinitely many solutions Show each step of your work and justity your thinking Enter your answer work, and justification in the box provided
HELP PLEASE!!
The equation can have no solution or as many solutions as possible
Terrence's conclusion that the equation has infinitely many solutions is false
How to determine the number of solutions?The equation is given as:
101 - 6+ 2 = 4(3x - 1) - 2
Open the bracket
101 - 6+ 2 = 12x - 4 - 2
Collect the like terms
12x = 101 - 6+ 2 + 4 + 2
Evaluate the like terms
12x = 103
Divide both sides by 12
x =103/12
The above shows that the equation has one solution
Hence, Terrence's conclusion that the equation has infinitely many solutions is false
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Find the slope of the line that passes through (10,-8) and (1, 12).
Answer:
m= -20/9
Step-by-step explanation: