solve the system of linear equations 3x-2y=16
6x-4y=32
System of Linear Equations entered :
[1] 3x - 2y = 16
[2] 6x - 4y = 32
Solve by Substitution :
// Solve equation [2] for the variable x
[2] 6x = 4y + 32
[2] x = 2y/3 + 16/3
// Plug this in for variable x in equation [1]
[1] 3•(2y/3+16/3) - 2y = 16
[1] 0 = 0 => Infinitely many solutions
Infinitely many solutions
Answer:
Step-by-step explanation:
[1] 3x - 2y = 16
[2] 6x - 4y = 32
Solve equation [2] for the variable x
[2] 6x = 4y + 32
[2] x = 2y/3 + 16/3
Plug this in for variable x in equation [1]
[1] 3•(2y/3+16/3) - 2y = 16
[1] 0 = 0 => Infinitely many solutions
a shopkeeper sold an article at a gain of 5%.if he had sold it for rs. 16.50 less, he would have lost 5%.find the cost price of the article.
Answer:
m,ouih
-step explanation:
Someone please help! Thank you in advance!
Answer:
58ft
Step-by-step explanation:
100-60=40
40+18=58
the answer is 58ft
(brainliest plz)
What is the height, x, of the equilateral triangle?
Answer:
D: [tex]4\sqrt3[/tex]
Step-by-step explanation:
Draw the height. You notice you have split the triangle in two right triangles of sides 8 (the hypotenuse), 4 (half the horizontal side) and x. Let's apply Pythagorean theorem to the triangle: [tex]8^2 = 4^2+x^2 \rightarrow 64=16+x^2 \rightarrow x^2= 48 = 4^2\times3\\x= \sqrt48 = 4\sqrt3[/tex]
Determine if y=3⋅2z+12 is linear, quadratic, or exponential.
Answer:
Exponential
Step-by-step explanation:
2z
Split £10 into the ratio 4:1
Answer:
let the shares be 4x and 1x (4:1)
total share = 4x + 1x = 5x
total amount = 10£
5x = 10£
x = 2£
1st share = 4x = 4*2£ = 8£
2nd share = 1x = 1*2£ = 2£
.
.
[tex]{\bold{\red{HOPE\:IT\:HELPS!}}}[/tex]
[tex]\color{yellow}\boxed{\colorbox{black}{MARK\: BRAINLIEST!❤}}[/tex]
Mr. Green is still repairing that old, rundown house he recently purchased. He finally fixed that leaky faucet in the kitchen, but now the bathroom faucet is leaking. He’s wondering if the dripping rate is the same as the kitchen, so again he starts his observations. However, this time he notes that for the bathroom faucet, 8 ounces of water dripped in 12 minutes.
A) At this rate, how many ounces of water will drip in a day?
Answer:
960 ounces in 1 day
(Sorry for a late response, I just logged on)
Step-by-step explanation:
Most of that information is negligable (not important) besides 8 ounces in 12 minutes.
so an hour is 60 minutes, if we multiply both parts of the problem by 5 we get
40 ounces in 1 hour
a day is 24 hours, so if we multiply both sides by 24 well get our answer
960 ounces a day
-- Gage Millar, Algebra 1/2 tutor
Answer:
960 ounces
Step-by-step explanation:
First, let's find how much water will drip in an hour (60 minutes), so we can make an equation:
8/12 = x/60
And if you multiply both sides of the equation by 60 you will get 8*5 = x which is 40. So, we know that in one hour, 40 ounces of water will drip from the bathroom faucet. To find how much water will drip in a day, just multiply 40 by 24 (since there are 24 hours in a day). That would result in 960.
A litter of puppies consists of black puppies and white puppies. A
puppy is randomly selected and removed from the litter. Then another
random selection is made from the remaining puppies.
Event A: The first
selection is a black
puppy.
Event B: The second
selection is a white
puppy.
Is A dependent on B?
We want to see if the first selection is dependent on the second selection, we will see that no, the first selection can not depend on a selection that did not happen yet.
So the situation is:
We have a group of puppies, some are black, some are white.
Let's say that there are N puppies in total, n₁ are black, n₂ are white, such that:
n₁ + n₂ = N
Now we have that the first selection, event A, is a black puppy. The probability is just the quotient between the number of black puppies and the total number of puppies:
q = n₁/N
Then now we have:
N - 1 puppies in total.n₁ - 1 black puppiesn₂ white puppies.Now for the second selection, event B, the probability of selecting a white puppy is:
P = n₂/(N - 1)
Notice that because there are fewer black puppies than before (because we took one) the denominator decreases, thus, the probability of getting a white puppy increases.
So clearly event B depends on event A.
Now the question is:
Is A dependent on B?
No, A can not depend on event B, because event A happens first. The probability of the first event is always q = n₁/N.
If you want to learn more, you can read:
https://brainly.com/question/12138717
2x-4>-14 or 2x-4\leq10
Answer:
x>0
Step-by-step explanation:
2x−4>−142x−4
Multiplica −14 y 2 para obtener −28.
2x−4>−28x−4
Agrega 28x a ambos lados.
2x−4+28x>−4
Combina 2x y 28x para obtener 30x.
30x−4>−4
Agrega 4 a ambos lados.
30x>−4+4
Suma −4 y 4 para obtener 0.
30x>0
El producto de dos números es >0 si ambos son >0 o <0. Puesto que 30>0, x debe ser >0.
x>0
HELP PLZZ!!!!!
Find x.
Answer:
6.1
Step-by-step explanation:
So you would use tan as u are looking for the opposite and already have the adjacent.
tan(22) x 15 = 6.06 or 6.1
Answer:
x = 6.06
Step-by-step explanation:
tan (22°) = x/15
0.404 = x/15
x = 6.06
what is the answer to
−1+8(−3+9)
Answer:42
Step-by-step explanation:
Find the gradient of the line segment between the points (6,-4) and (10,-10). Give your answer in its simplest form.
Answer:
To calculate the gradient of a straight line we choose two points on the line itself. The difference in height (y co-ordinates) ÷ The difference in width (x co-ordinates).
so it is 0.2
Please help me with this homework
Answer:
c
Step-by-step explanation:
S=B+1/2Pl
-b from both sides
s-b=1/2Pl
x2 to both sides
2(S-B)=Pl
divide both sides by l
you get c
Simplify the expression: – 9k2+6k2–7k2–5k2+ – 8k2+ – 2k2
Step-by-step explanation:
I guess, this expression really is
-9k² + 6k² - 7k² - 5k² + -8k² + -2k²
remember : all terms with the same base reference (either a number or a variable with the same exponent, or a function ...) can be combined.
all the terms in this expression are about k². so we can combine them all
k² × (-9 + 6 - 7 - 5 - 8 - 2) =
k² × -25 or simply -25k²
always also remember the rules of combining signs and operations :
++ = +
+- = -
-+ = -
-- = +
help im not good in math
Answer:
4
Step-by-step explanation:
yeah 4/8 is the answer. yeah-ya
What is the y-coordinate of the solution of the system of equations?
Sy= 3x – 26
2x – y = 19
Enter your answer in the box.
y=
Answer: y=3x−262x−y=19
Step-by-step explanation:
James threw a flying disk from a height of 4 feet above the ground. The disk travels a horizontal distance of 30 feet before falling to the ground. the height of the disk, in feet, at a distance of x feet from james, is modeled on the graph.
the domain represents the _____ the flying disk. The range of this function is [___, ___]. for this function, the range represents the flying disk’s _________
Answer:
the domain represents the horizontal flying of the disk. The range of this function is [0, 7]. For this function, the range represents the flying disk's possible heights
can someone help me with this work problem?
thank you!( ◜‿◝ )♡
adddddddddddddddddddddddddddddddddddddddddddddddddddddd
Ibrar bought a house for £250,000
The value of the house depreciated by 2% in the first year.
The value of the house depreciated by 0.6% in the second year.
Ibrar says,
"2 + 0.6 = 2.6 so in two years the value of my house depreciated by 2.6%"
Is Ibrar right?
You must give a reason for your answer
Step-by-step explanation:
nope!
because the value has increased 6%*102%=6.12% in second year which we have 8.12% i total
Hi again could you help me please
Find the area of the composite shape.
Answer:
For the one on the far left its 104 m2
Step-by-step explanation:
u split the shape in a square and rectangle
them u fin the area of the square by multiplying both sides. (8*8)
then u find the area of the rectangle by using the formula
2*(16+4)
when u find both areas u count them up and it'll become 104 m squared
Kylie went into a grocery store and bought 5 apples and 4 bananas, costing a total of $10.50. Lily went into the same grocery store and bought 10 apples and 5 bananas, costing a total of $16.50. Determine the price of each apple (x) and the price of each banana (y). Remember, write it as money, with the whole and the decimal to the hundredths place!
Answer:
Apples $0.90 / Bananas $1.50
Step-by-step explanation:
So The equations would look like this
5x + 4y = 10.5
10x + 5y = 16.5
Solving for x, we get 2.1 - 4/5y
Substitute x
10(2.1 -4/5y) +5y = 16.5
Solving for y, we get 3/2 or 1.5
Substitute y
x = 2.1 -4/5(3/2)
x = 9/10
Now check the equations with the answers
5(9/10) + 4(3/2) = 10.5 -> 21/2 = 21/2
10(9/10) + 5(3/2) = 16.5 -> 33/2 = 33/2
Which means apples cost $0.90 and bananas cost $1.50
Determine if this data is an example of a function
(3,-4);(3,-2);(3,0);(3,9)
Function or Relation
To be a function each x value creates a different y value.
The x value in the problem is the same for each set but the y values are all different so it is not a function.
Answer: relation
Evaluate a+b+cd if a=7/8 , b=−7/16 , c=0.8 , and d=1/4 . Write your answer as a fraction in simplest form.
After solving the given expression, the value obtained from it in form of simplest fraction is equal to 5.1/8.
What is an expression?Mathematical actions are called expressions if they have at least two terms that are related by an operator and include either numbers, variables, or both. Adding, subtraction, multiplying, and division are all reflection coefficient operations. A mathematical operation such as reduction, addition, multiplication, or division is used to integrate terms into an expression.
As per the given data in the question,
a = 7/8
b = -7/16
c = 0.8 and
d = 1/4
And the equation is a+b+cd
7/8 + (-7/16) + (0.8)(1/4)
7/16 + 0.2
= 10.2/16
In simplest form, it is written as 5.1/8.
To know more about expression:
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#SPJ2
6.
Which of the following equations describes the graph?
A. y= -2x^2 - 4
B. y= 2x^2 + 4
C. y= -2x^2 + 4
D. y= 2x^2 - 4
Answer:
C. y= -2x^2 + 4
Step-by-step explanation:
Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Direction: Opens Down
Vertex:
(
0
,
−
4
)
Focus:
(
0
,
−
33
8
)
Axis of Symmetry:
x
=
0
Directrix:
y
=
−
31
8
x
y
−
2
−
12
−
1
−
6
0
−
4
1
−
6
2
−
12
________________
Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Direction: Opens Up
Vertex:
(
0
,
4
)
Focus:
(
0
,
33
8
)
Axis of Symmetry:
x
=
0
Directrix:
y
=
31
8
x
y
−
2
12
−
1
6
0
4
1
6
2
12
______________
Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Direction: Opens Down
Vertex:
(
0
,
4
)
Focus:
(
0
,
31
8
)
Axis of Symmetry:
x
=
0
Directrix:
y
=
33
8
x
y
−
2
−
4
−
1
2
0
4
1
2
2
−
4
_______________
Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Direction: Opens Up
Vertex:
(
0
,
−
4
)
Focus:
(
0
,
−
31
8
)
Axis of Symmetry:
x
=
0
Directrix:
y
=
−
33
8
x
y
−
2
4
−
1
−
2
0
−
4
1
−
2
2
4
Jeff decides to ride his bike in the summer, too. At the end of the summer, he has rode his bike for 1,890 minutes. If he rode the same amount every day for 9 weeks, how many minutes did he ride per day? He rode minutes per day.
Answer:
30 minutes
Step-by-step explanation:
9 weeks = 1890 minutes
=> 1 week = 210 minutes
=> 7 days = 210 minutes
=> 1 day = 30 minutes.
Therefore, he rode 30 minutes per day in the summer.
Answer:
30 min / dayStep-by-step explanation:
Riding total = 1890 min
Number of days:
9*7 = 63Daily riding:
1890/63 = 30 minQuestion 10(Multiple Choice Worth 1 points)
(01.05 MC)
Which number line best shows the position of 13?
J3
ht
-4
-3
- 2
-1
0
1
3
2
4
13
-4
-3
- 2
.
-1
0
1
2.
3
4
13
+
1
-3
-2
-4
-1
0
2.
3
4
13
+
3
-4
-3
-1
0
1
2
4
Answer:
It's the first option
Step-by-step explanation:
√3 according to calculator is 1.73205...
And if you check the options given, you'd see that the first option is the closest answer
How do we determine the area of an a rectangle?
Answer:
accept length
accept breadth
Area=length *breadth
we multiply the length of a rectangle by the width of the rectangle.
A cylinder has a volume of 33,912 units3 and a
height of 12 units. What is the diameter of the
cylinder?
I’ll do 50 points please answer right away !!!!!!!
Answer:
60
Step-by-step explanation:
I hope this helps
The diameter of the cylinder is equal to 59.98 units.
Given the following data:
Volume of cylinder = 33,912 [tex]unit^3[/tex]Height of cylinder = 12 units.To determine the diameter of the cylinder:
First of all, we would find the radius of the circular base of this cylinder.
Mathematically, the volume of a cylinder is given by the formula:
[tex]Volume = \pi r^2h[/tex]
Making r the subject of formula, we have:
[tex]r=\sqrt{\frac{V}{\pi h} }[/tex]
Substituting the given parameters into the formula, we have;
[tex]r=\sqrt{\frac{33912}{3.142 \times 12} }\\\\r=\sqrt{899.43}[/tex]
Radius, r = 29.99 units.
For the diameter:
[tex]Diameter = 2 \times radius\\\\Diameter = 2 \times29.99[/tex]
Diameter = 59.98 units.
Read more: https://brainly.com/question/1908836
Which is the best way to fix the following run on sentence
Answer:
C
Reasoning:
You should add a period to fix the run-on sentence because they're two different ideas. (They don't fit in the same sentence.)
what is happening at this step in the equation solving process for 3x+7=5x
7=2x