5y+4x=10.51 8y+3x=10.39
Answers
Answer:
(x, y) = (1.89, 0.59)
Step-by-step explanation:
Written in general form, the equations are ...
4x +5y -10.51 = 0
3x +8y -10.39 = 0
These can be solved using the cross-multiplication method to find ...
∆1 = (4)(8) -(3)(5) = 17
∆2 = (5)(-10.39) -(8)(-10.51) = 32.13
∆3 = (-10.51)(3) -(-10.39)(4) = 10.03
Then the values of the variables are ...
x = ∆2/∆1 = 32.13/17 = 1.89
y = ∆3/∆1 = 10.03/17 = 0.59
The solution is (x, y) = (1.89, 0.59).
Related Questions
A shop has a sale that offers 40% off all prices. On the final day, they reduce all sale prices by 30%. Alex buys a hairdryer on the final day.
Work out the overall percentage reduction on the price of the hairdryer.
Answers
Answer:
82%
Step-by-step explanation:
They are doing 0.6x with the first sale, then 70% of 0.6x for the second. So, the first sale would be 0.6x, and the second sale would be 0.42x. You subtract them to get 0.18x. So, 0.18x/x=18%. You would pay 18%, and the shop reduced 82%
I need help with this question can someone plss help me!!
Answers
Answer:
Step-by-step explanation:
Kylie Jenner's gym membership
costs $150 to sign up and
then charges $3 for each visit.
Kanye West's gym membership costs $130
to sign up and
then charges $5 for each visit.
At how many visits
will they have spent
the same amount of money?
Answers
Answer:
The answer to this is 10 visits.
Step-by-step explanation: For this algebra, take a guess at first, and then you should be able to find an answer from there. All you have to do mathematically, is calculate (using the two starting values), when the prices are the same. For this, the equation would look something like: 5x + 130 and 3x + 150. X represents the unknown number of visits. When x is = 10, the prices are the same, 180 = 180. Edit: Another way you can do this, is graph a line of the two equations, and see what point they intercept. The X value of the point usually is the number of times something occurs until the price is the same, whereas the y value of the point is usually the price.
How do I find domain and range.
Answers
Answer:
The domain is all the x values and the range is all the y values.
Since there are 6 points on the figure, just find the coordinates (x, y) for all the points. Then get all the x and y values separated in a table.
I'm just going to assume this is scaled by 1 unit per square
Here are all the points on the graph:
(-6, -1)
(-4, 3)
(-4, -6)
(0, 2)
(2, -2)
(5, 7)
Now just split them into their x and y values
The Domain: -6, -4, 0, 1, 5
The Range: -1, 3, -6, 2, -2, 7
Answer:
Interval notation
Domain: [-6, 5]Range: [-1, 7]Step-by-step explanation:
The domain is the x-value on the x-axis. The range is the y-value on the y-axis.
Find the two highest points on opposite sides in the graph.
find the x-values (refer to the image below)find the y-values (refer to the image below)After this step has been completed, you can write it in different forms, for example in interval notation:
The domain would be [-6, 5]
The range would be [-1, 7]
Note - for interval notation, when the point is a closed circle, the ending parenthesis would be "[ "or "]". However, when it is an open circle, the parenthesis would be "( "or ")".
Define algebra ? And give some examples..
Answers
Answer:
Algebra is a abstract way of thinking about things. We usually see this by defining things we don't know as some sort of symbol (Matter of fact. All of Mathmatics revolves around symbols). It doesn't necessarily have to be a number. I could label some big brown sturdy thing with green stuff on top as a tree which in a mathmatical sense the tree would be the variable and the actual thing would be the thing inside of the variable. But basically it's an abstract way of thinking
Step-by-step explanation:
Simplify.
(7⁴)²
(EXPONENT FORM ONLY)
Answers
To raise a power to another power, you multiply the exponents. 4x2=8. 7^8
The railroad company wants to sell $8,134 in tickets. If each ticket costs $7, how many
tickets will the railroad have to sell to meet its goal?
Answers
Answer:
1162 tickets will need to be sold
Step-by-step explanation:
8134 / 7 = 1,162
The probability for event A is 0. 3, the probability for event B is 0. 6, and the probability of events A or B is 0. 8. Why are the events not mutually exclusive?.
Answers
P(A and B) = P(A) + P(B) - P(A or B)
P(A and B) = 0.3 + 0.6 - 0.8
P(A and B) = 0.1
Because this result is nonzero, the two events A and B are not mutually exclusive. It is possible for the two events to happen at the same time.
Mutually exclusive events always have P(A and B) = 0, which means A and B cannot happen simultaneously.
The probability of A or B equals the probability of A plus the probability of B. so, the event is not mutually exclusive because of the P(A and B) = 0.1, not 0.
Given that,The probability for event A is 0.3, the probability for event B is 0.6,
and the probability of events A or B is 0.8.
We have to find,Why are the events not mutually exclusive?
According to the question,The probability for event A is 0.3, the probability for event B is 0.6,
and the probability of events A or B is 0.8.
P(A) = 0.3
P(B) = 0.8
and P(A∪B) = 0.8
When two events are said to be mutually exclusive when both the events cannot take place simultaneously.
Mutually exclusive events always undergo different outcomes.
These events are also known as disjoint events.
Mutually exclusive events prevent the second event to take place when the first event appears.
The probability of mutually exclusive events follows;The probability of A and B together equals 0,
P(A and B) = 0
The probability of A or B equals the probability of A plus the probability of B,
P(A or B) = P(A) + P(B)
Therefore,
P(A or B) = P(A) + P(B) = 0.3 + 0.6 = 0.9
Here, 0.9 ≠ 0.8
Thus, the events are not mutually exclusive.
Hence, The event is not mutually exclusive because the P(A and B) = 0.1, not 0.
For more details about Probability refer to the link given below.
https://brainly.com/question/14071639
hey guys!! i need help on this one:)
Answers
[tex]\huge\underline\mathtt\colorbox{cyan}{Hope it helps...}[/tex]
Determine the graph of the equation 16^2 + 16^2 − 16 + 24 − 61 = 0.
Answers
Answer:
Enter a problem...
Precalculus Examples
Popular Problems Precalculus Find the Properties 16x^2+16y^2-16x+24y-3=0
16
x
2
+
16
y
2
−
16
x
+
24
y
−
3
=
0
Add
3
to both sides of the equation.
16
x
2
+
16
y
2
−
16
x
+
24
y
=
3
Divide both sides of the equation by
16
.
x
2
+
y
2
−
x
+
3
y
2
=
3
16
Complete the square for
x
2
−
x
.
Tap for more steps...
(
x
−
1
2
)
2
−
1
4
Substitute
(
x
−
1
2
)
2
−
1
4
for
x
2
−
x
in the equation
x
2
+
y
2
−
x
+
3
y
2
=
3
16
.
(
x
−
1
2
)
2
−
1
4
+
y
2
+
3
y
2
=
3
16
Move
−
1
4
to the right side of the equation by adding
1
4
to both sides.
(
x
−
1
2
)
2
+
y
2
+
3
y
2
=
3
16
+
1
4
Complete the square for
y
2
+
3
y
2
.
Tap for more steps...
(
y
+
3
4
)
2
−
9
16
Substitute
(
y
+
3
4
)
2
−
9
16
for
y
2
+
3
y
2
in the equation
x
2
+
y
2
−
x
+
3
y
2
=
3
16
.
(
x
−
1
2
)
2
+
(
y
+
3
4
)
2
−
9
16
=
3
16
+
1
4
Move
−
9
16
to the right side of the equation by adding
9
16
to both sides.
(
x
−
1
2
)
2
+
(
y
+
3
4
)
2
=
3
16
+
1
4
+
9
16
Simplify
3
16
+
1
4
+
9
16
.
Tap for more steps...
(
x
−
1
2
)
2
+
(
y
+
3
4
)
2
=
1
This is the form of a circle. Use this form to determine the center and radius of the circle.
(
x
−
h
)
2
+
(
y
−
k
)
2
=
r
2
Match the values in this circle to those of the standard form. The variable
r
represents the radius of the circle,
h
represents the x-offset from the origin, and
k
represents the y-offset from origin.
r
=
1
h
=
1
2
k
=
−
3
4
The center of the circle is found at
(
h
,
k
)
.
Center:
(
1
2
,
−
3
4
)
These values represent the important values for graphing and analyzing a circle.
Center:
(
1
2
,
−
3
4
)
Radius:
1
image of graph
Line c passes through points (9, 10) and (1, 3). Line d is perpendicular to c. What is the slope
of line d?
Answers
Answer:
-8/7
Step-by-step explanation:
First, find the slope of line c.
(x1, y1) = (9, 10)
(x2, y2) = (1, 3)
The slope formula is:
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
Solve for the slope using the given values:
[tex]m=\frac{3-10}{1-9}\\\\m=\frac{-7}{-8}\\\\m=\frac{7}{8}[/tex]
The slope of line c is 7/8. To find the slope perpendicular to it, you need to find the negative reciprocal of that number. An example of that would be 2 and -1/2. Basically, flip the fraction and the +/-.
In this case, the negative reciprocal of 7/8 is -8/7. The image below doesn't account for the y-intercept, but it does show that the slopes are perpendicular.
Answer:
slope = - [tex]\frac{8}{7}[/tex]
Step-by-step explanation:
Calculate the slope m of line c using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (9, 10 ) and (x₂, y₂ ) = (1, 3 )
m = [tex]\frac{3-10}{1-9}[/tex] = [tex]\frac{-7}{-8}[/tex] = [tex]\frac{7}{8}[/tex]
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{7}{8} }[/tex] = - [tex]\frac{8}{7}[/tex] ← slope of line d
Given that a [] b = b2 + a. Evaluate 2 [] (6[] - 5).
Answers
Answer:
963
Step-by-step explanation:
Evaluate 6 | - 5 , then the outside part, that is
6 | - 5 ( with a = 6 and b = - 5 )
= (- 5)² + 6 = 25 + 6 = 31
Now evaluate 2 | 31 ( with a = 2 and b = 31 )
= 31² + 2 = 961 + 2 = 963
Let f(x) = 2(x − 1)² + 3 and h(x) = -f(x+3) - 1
Write h in terms of x
Answers
f(x+3)
[tex]\\ \sf\Rrightarrow 2(x+3-1)^2+3[/tex]
[tex]\\ \sf\Rrightarrow 2(x+2)^2+3[/tex]
[tex]\\ \sf\Rrightarrow 2(x^2+4x+4)+3[/tex]
[tex]\\ \sf\Rrightarrow 4x^2+8x+8+3[/tex]
[tex]\\ \sf\Rrightarrow 4x^2+8x+11[/tex]
Now
[tex]\\ \sf\Rrightarrow h(x)[/tex]
[tex]\\ \sf\Rrightarrow -f(x+3)-1[/tex]
[tex]\\ \sf\Rrightarrow -4x^2-8x-11-1[/tex]
[tex]\\ \sf\Rrightarrow -4x^2-8x-12[/tex]
[tex]\\ \sf\Rrightarrow 4(-x^2-2x-3)[/tex]
Pam and Erin are both planting gardens for their backyards. They want their gardens to be proportional. If pams garden has a length of 16 feet and a width of 12 feet, what length does Erin need if the width of her garden is 21 feet?
Answers
Step-by-step explanation:
Pam and Erin want the gardens to be proportional.
proprtional- equal
Pams garden has a length of 16 and width of 12. To find the area of Pam's garden multiply the length by the width.
16×12= 192
Now that we know the area of Pam's garden, we can set up and equation for Erin's garden. Since they have to be equal we know that Erin's garden should equal 192. Thus we solve for the length by dividing the width from the total.
192÷21=9.14
Your
Problem
Amanda was selling pizza for basketball. She sold
4 pizzas to her friends right away and then sold 2
pizzas each day after. If she sold 16 pizzas
altogether, how many days did she sell?
Your Work:
Answers
Day 2: 2 (2+4=6)
Day 3: 2 (2+4+2=8)
Day 4: 2 (2+4+2+2=10)
Day 5: 2 (2+4+2+2+2=12)
Day 6: 2 (2+4+2+2+2+2=14)
Day 7: 2 (2+4+2+2+2+2+2=16)
She sold for a week/7 days.
help me asap!!!!!!!!!!!!!
Answers
Answer: yes
Step-by-step explanation:
It is because for every x value there is a y and the x value does not repeat to any y values.
Answer:
No because the slope isnt constant, the y changes higher and higher while the x stays constant
Step-by-step explanation:
Hope this helps!:)
Grace works as a salesperson at an electronics store and sells phones and phone
accessories, and makes a fixed commission for each phone sale and a different fixed
commission for each accessory sale. Yesterday Grace sold 18 phones and 21
accessories and made a total commission of $204. Today she sold 6 phones and 14
accessories and made a total commission of $82. Determine the price of each phone
and the price of each accessory.
Answers
Our first equation is: 18P + 21A = 204. This is because she told 18 phones and 21 accessories yesterday which got her $204.
Our next equation is: 6P + 14A = 82. This is because she sold 6 phones and 14 accessories today which got her $82.
We can use elimination to solve this system. We can multiply the equation 6P + 14A = 82 by -3. This is so we can avoid sign errors if we multiply by 3. Our new equation is -18P - 42A = -246.
Next, we add that equation to 18P + 21A = 204. This gives us -21A = -42. Once we solve for A, by dividing by -21, we get A = 2.
Next, we can plug A into our equation. I will plug it into the second one. 6P + 14(2) = 82. This gives us 6P + 28 = 82. Once we get 6P alone, we get 6P = 54. Solving for P gives us 9.
One phone costs $9, and an accessory costs $2.
(4x2 - x - 7) + (2x3 + 6x2 - 11)
Adding polynomials
Answers
Answer:
2x3 + 10x2 - x - 18
Step-by-step explanation:
hope this helps! goodluck & enjoy the rest of ur day /or night.
Answer:
(4x2 - x - 7) + (2x3 + 6x2 - 11) Adding polynomials
Step-by-step explanation:
x varies directly with y. If x is 108 when y is 180, find x when y is 150.
Answers
Answer:
X=90
Step-by-step explanation:
k=3/5
X=3/5×150
X=90
Using the picture below, which angle is alternate exterior to angle 2?
Answers
The regular price of an item is $150. The item is on sale at a discount rate of 30%.
What is the sale price of the item?
$45
$105
$120
1970
Answers
Answer:
$105
Step-by-step explanation:
30% of 150 is 45.
150-45 = 105
Hope that helps
ASAP HURRY.
A tabletop is shaped like a square with half-circles on two ends.
One side of the square is 0.8 m. To the nearest meter, what is
the perimeter of the tabletop?
Answers
won't it be 3.2 because A square has four sides so you multiply 0.8 by 4
true or false Canada's indigenous people originally came from Asia
Answers
Answer:
True
Step-by-step explanation:
They came from east Asia
I hope this helps!
a ______ is a line that is perpendicular to a line segment and intersects the line segment at its midpoint?
Answers
Answer:
Perpendicular Bisectors
Step-by-step explanation:
Recall that a perpendicular bisector intersects a line segment at its midpoint and is perpendicular.
In a class there are 48 students.the number of girls is 3 times their boys . how many boys and girls are there in the class??please help!
Answers
Answer:
12 boys, 36 girls
Step-by-step explanation:
We can use systems of equations to solve this using substitution.
Let b = # of boys in the class
Let g = # of girls in the class
b + g = 48
g=3b
b+(3b)=48
4b=48
b=12
12*3=36
Check:
36+12=48
are 6y + 12 and 6 (y + 2) equal?
Answers
I need the answers to a b c and d PLZ DUE AT 11:59PM ITS 9:23PM
Answers
Answer:
do u even still need the answer its been aweek since you asked it and it was due that same day
Step-by-step explanation:
The ratio of the measures of the three angles of a triangle is 6:9: 10.
Find the angle measures.
Answers
Answer:
Angles are [tex]43.2^0,64.8^0,72^0[/tex]
Step-by-step explanation:
Sum of interior angles of triangle is [tex]180^0[/tex]
The ratio of the measures of the three angles of a triangle is [tex]6:9: 10[/tex]
Hence the angles can be [tex]6x,9x,10x[/tex]
We have
[tex]6x+9x+10x=180\\\\25x=180\\\\5x=36\\\\x=7.2\\\\6x=43.2^0\\\\9x=64.8^0\\\\10x=72^0[/tex]
Angles are [tex]43.2^0,64.8^0,72^0[/tex]
One step equations- solve for "X" or find it. Please help
3x=-12
14x=280
x+6=-5
x+27=125
x-324=760
x-43=35
x/6=-24
x/13=214
26-x=47
-x/3=-998
I know, I always put 100 points, I just like giving extra points :) Merry almost Christmas also!!!
Answers
Since these are one-step equations we only have one step.
To solve, these single steps will include the following:
[1] addition (+)
[1] subtraction (-)
[2] division (/ or ÷)
[2] multiplication (* or x)
How do we answer these? We do the opposite of what is shown. If we have addition in 4 + x = 6, we will use subtraction to solve. The numbers one (1) and two (2) above show the "sets" of which we use.
[] 3x = -12
-> -4
We have multiplication so we will divide -12 by 3 for an answer of -4
[] 14x = 280
-> 20
We have multiplication so we will divide 280 by 14 for an answer of 20
[] x + 6 = -5
-> -11
We have addition so we will subtract 6 from -5 for an answer of -11
[] x + 27 = 125
-> 98
We have addition so we will subtract 27 from 125 for an answer of 98
[] x - 324 = 760
-> 1,084
We have subtraction so we will add 324 to 760 for an answer of 1,084
[] x - 43 = 35
-> 78
We have subtraction so we will add 43 to 35 for an answer of 78
[] x/6 = -24
-> -144
We have division so we will multiply 6 by -24 for an answer of -144
[] x/13=214
-> 2,782
We have division so we will multiply 13 by 214 for an answer of 2,782
[] 26 - x = 47
-> -21
We have subtraction so we will add x to both sides to reach the equation 26 = 47 + x
Then, we have addition so we will subtract 47 from 26 to get an answer of -21
[] -x/3=-998
-> 2,994
First, we will move the negative to the bottom of the fraction, which looks like this: [tex]\frac{-x}{3} = \frac{x}{-3}[/tex]
Then, we have division so we will multiply -3 by -998 for an answer of 2,994
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
constant of proportionly in the equation 3y = 2x
Answers
Answer:
Divide both sides by 22.
\frac{3y}{2}=x
2
3y
=x
2 Switch sides.
x=\frac{3y}{2}
x=
2
3y