Answer:
Therefore, the values of "x" and "y" are -1000/312 and -115/39 respectively.
Step-by-step explanation:
★ Solution :-[tex] \sf \leadsto 8x - 7y = -5 - - - (i)[/tex]
[tex] \sf \leadsto -x + 4y = -15 - - - (ii)[/tex]
By first equation,
[tex] \sf \leadsto 8x - 7y = -5[/tex]
[tex] \sf \leadsto 8x = -5 + 7y[/tex]
[tex] \sf \leadsto x = \dfrac{-5 + 7y}{8} [/tex]
Now, we can find the original value of y.
[tex] \sf \leadsto -x + 4y = -15[/tex]
[tex] \sf \leadsto \bigg( \dfrac{-5 + 7y}{8} \bigg) + 4y = -15[/tex]
[tex] \sf \leadsto \dfrac{-5 + 7y}{8} + 4y = -15[/tex]
[tex] \sf \leadsto \dfrac{-5 + 7y + 32y}{8} = -15[/tex]
[tex] \sf \leadsto \dfrac{-5 + 39y}{8} = -15[/tex]
[tex] \sf \leadsto -5 + 39y = -15(8)[/tex]
[tex] \sf \leadsto -5 + 39y = -120[/tex]
[tex] \sf \leadsto 39y = -120 + 5[/tex]
[tex] \sf \leadsto 39y = - 115[/tex]
[tex] \sf \leadsto y = \dfrac{ - 115}{39} [/tex]
Now, we can find the original value of x.
[tex] \sf \leadsto 8x - 7y = -5[/tex]
[tex] \sf \leadsto 8x -7 \bigg( \dfrac{ - 115}{39} \bigg) = -5[/tex]
[tex] \sf \leadsto 8x + \dfrac{805}{39} = -5[/tex]
[tex] \sf \leadsto \dfrac{312x + 805}{39} = -5[/tex]
[tex] \sf \leadsto 312x + 805 = -5(39)[/tex]
[tex] \sf \leadsto 312x + 805 = -195[/tex]
[tex] \sf \leadsto 312x = -195 - 805[/tex]
[tex] \sf \leadsto 312x = -1000[/tex]
[tex] \sf \leadsto x = \dfrac{-1000}{312} [/tex]
[tex]\textsf {\underline{Answer-}}\\[/tex]
Therefore, the values of x and y are -1000/312 and -115/39 respectively.
which equation does not belong with the other three A. y=-5x-1 B.2x-y=8 C. y=x+4 D. y= -3x+13
Answer:B
Step-by-step explanation:
All other equations solve for Y
Step by step please!
One-ninth of the candies in a bag of M&M's are red. If there are 16 red candies, how many M&M's are in the bag?
Answer:
21
I hope this helped I would appreciate brainliest if possible
Kareem makes muffins using a ratio of 3.5 cups of flour for every 1.75 cups of sugar.
If he has 3.5 cups of sugar, how much flour does he need to make the muffins?
The constant of proportionality for the amount of flour to sugar in this recipe is ___.
If Kareem uses 3.5 cups of sugar, he will need ___ cups of flour.
The constant of proportionality for the amount of flour to sugar in this recipe is 2.
If Kareem uses 3.5 cups of sugar, he will need 7 cups of flour.
Two variables are said to be proportional if an increase in one variable leads to an increase in another variable and vice versa.
Let y represent the cups of flour and x represent the cups of sugar. Hence:
3.5 cups of flour for every 1.75 cups of sugar:
y ∝ x
y = kx
k is the constant of proportionality
3.5 = 1.75k
k = 2
y= 2x
If Kareem uses 3.5 cups of sugar, he will need:
y = 2x = 2(3.5) = 7
The constant of proportionality for the amount of flour to sugar in this recipe is 2.
If Kareem uses 3.5 cups of sugar, he will need 7 cups of flour.
Find out more at: https://brainly.com/question/21126582
Algebra 2 Need help with b
Answer:
a. was incorrect a = -0.109569028 so...
y = -0.109569028(x + 7)² + 54
b. It's been the above vertex equation for a parabola then
set y = 40 equal to the parabolic equation, we get
40 = -0.109569028x² - 1.533966392x + 48.631117628
solve for x we get
x = -18.3036867393939 or ~ 18.3 feet
Step-by-step explanation:
y = a(x - h)² + k
(h, k) = vertex = (-7, 54)
x = h is the axis of symmetry -7
y = a(x -(-7))² + 54
y = a(x + 7)² + 54
solve for a by inputting the point (15.2, 0)
0 = a(15.2 + 7)² + 54
-54 = a(22.2)²
-54 = 492.84a
a = -54/492.84
a = -0.109569028
Subtract polynomials:
(-4x^3+5x^2-x+3)-5(x^4-2x^3+x^2)
9514 1404 393
Answer:
-5x^4 +6x^3 -x +3
Step-by-step explanation:
First, eliminate parentheses.
(-4x^3+5x^2-x+3)-5(x^4-2x^3+x^2)
= -4x^3 +5x^2 -x +3 -5x^4 +10x^3 -5x^2
Then collect terms.
= -5x^4 +(-4+10)x^3 +(5 -5)x^2 -x +3
= -5x^4 +6x^3 -x +3
simply each radical 1-4
Answer:
1. [tex]8x\sqrt{yz\\}[/tex] 2.[tex]8xy\sqrt{xz}[/tex] 3.[tex]4x^{2}yz\sqrt{y}[/tex] 4.[tex]7yz\sqrt{xz}[/tex]
Step-by-step explanation:
A giant prepared a big feast. If he invites another giant, they will finish the feast in 10 hours. He decides to invite 4 giants. How many hours will it take him and giant friends to finish the feast?
Answer:
1 1/4
Step-by-step explanation:
An art teacher has a total of 6/8 pound of clay. The teacher puts 1/16 pound of clay at each work station. The teacher sets up an equal number of work stations in each of the two classrooms. How many work stations does the teacher set up in each classroom?
Plot the graph of the linear equation. 3x-2y=6
Answer:
First point : (0, -3)
Second point : (2, 0)
Y-intercept : -3
Step-by-step explanation:
To tackle a question like this, the first thing you want to do is put the equation into y = mx + b form.
1.) 3x - 2y = 6
2.) -2y = -3x + 6 (bring 3x to the other side, using inverse operations)
3.) y = 1.5x - 3 (divide -2 on both sides, to isolate the variable y)
Now that you have the y-intercept (-3), you have your y value. Finally, just substitute the variable y from the original equation to solve for the x value.
1.) 3x - 2(-3) = 6
2.) 3x + 6 = 6 (multiply (-2) and (-3))
3.)3x = 0 (subtract 6 on both sides using inverse operations)
4.) x = 0
Now you have your first point which is (0, -3)!
To get your last point, just substitute your y coordinate from the original equation to get x.
1.) 3x - 2(0) = 6
2.) 3x - 0 = 6
3.) 3x = 6
4.) x = 2
Then, substitute the x coordinate from above in the original equation to get the y coordinate.
1.) 3(2) - 2y = 6
2.) 6 - 2y = 6
3.) -2y = 0
4.) y = 0
Second coordinate : (2, 0)
I hope this explanation was helpful!
t=(m+b)x solve for x
Answer:
[tex]x=\frac{t}{m+b}[/tex]Step-by-step explanation:
T = (m + b)x
Divide both side by (m + b):
[tex]\frac{T}{(m+b)} =\frac{(m+b)x}{(m+b)}[/tex]
Cancel out (m + b) and you have your answer!
Hope this helped. A brainliest would be very much appreciated. (I need 4 brainliest so I can level up) :)
The perimeter of the rectangle below is 56 units. Find the length of side BC.
Write your answer without variables.
DC = 3x - 2 DA = 2x
BC = ?
Answer:
12 unitsStep-by-step explanation:
Perimeter formula:
P = 2(l + w)Given:
l = 3x - 2w = 2xP = 56Find the value of x:
2(3x - 2 + 2x) = 565x - 2 = 285x = 30x = 6BC is parallel side to AD and is:
BC = AD = 2*6 = 12BC must parallel to DA hence equal
Now
2(Length+Breadth)=Perimeter2(3x-2+2x)=56(5x-2)=285x=30x=6BC=2(6)=12units
Is (-12,8) a solution to 2x+y=40
Answer:
no it is not. the line crosses the x in 20, and crosses the y in 40
Hey here is my question. So if you have 20 legos and your sister has 10 legos how many more legos do you have than her? fr.ee points.
Answer:
You would have 10 more legos than your sister.
Step-by-step explanation:
20-10=10
Is this graph portional
9514 1404 393
Answer:
no
Step-by-step explanation:
The graph of a proportional relation is a straight line through the origin. The origin of this graph is at lower left. The line is nowhere near that, so does not represent a proportional relation.
The owner invested 18,400 in the company in exchange for its common stock. The company purchased 1,350 cash in supplies. The owner invested 11,700 of equipment for more common stock. The company purchased 370 of additional supplies on credit. The company purchased land for 10,700 cash
Answer:
Total expenses: $34,520
Money needed for profit: $34521
Is this a good idea: Not unless he is prepared for it to go under...
Step-by-step explanation:
Helppppppppp plzzzzzzzzzz
Solve the photo above ⬆️
Btw these one's are gonna be a bit more confusing for me, so expect me to atleast probably send 7 more ^^|l|l
Answer:
7¹⁰ :) hope this helps you!!
A parabola can be drawn given a focus of (-9,6) and a directrix of x = -1. What
can be said about the parabola?
You start at (5, 7). You move down 1 unit and left 5 units. Where do you end?
Answer:
(0, 6)
Step-by-step explanation:
5, 7
x, y
5, 7
-5 -1
---------------
0,6
Check all solutions to the equation. If there are no solutions, check 'None."
x = -5
Answer:
None
Step-by-step explanation:
As per the defenition of Absolute Value, There are no negative values, therefore there are no possible answers, hence you would say "None".
Definition: Absolute Value is the distance a number is away from 0.
Therefore, Distance can never be 0.
Which of the following is an example of the identity property of 1?
O 0+2 = 24
O 3 - 2 = 1
O (1) = 1
1.11(0) = 0
Answer:
(1) = 1
Step-by-step explanation:
If you like my answer than please mark me brainliest thanks
1. What is the radius of the circle?
Worth max points
Answer:
[tex]7[/tex]
Step-by-step explanation:
We see that the circle is centered at [tex](1, 0)[/tex]. We know that because it's centered on the x-axis, one of the diameters will lie on the x-axis.
We know that the circle intersects the x-axis at [tex](8, 0)[/tex]. Therefore the radius of the circle is the distance between these points, in this case [tex]8-1=7[/tex].
So, the answer is [tex]\boxed{7}[/tex] and we're done!
If our monthly income is $3050 in your house payment is $2400 what fraction of your monthly income must go to pay your house payment?
Answer:
The 28% rule states that you should spend 28% or less of your monthly gross income on your mortgage payment (e.g. principal, interest, taxes and insurance). To determine how much you can afford using this rule, multiply your monthly gross income by 28%
Matthew borrows $200, agreeing to pay it back with a 6% annual interest after 20 months. How much interest will she pay?
Answer:
$20.00
Step-by-step explanation:
Equation:
A = P(1 + rt)
convert R percent to r a decimal
r = R/100 = 6%/100 = 0.06 per year.
Putting time into years for simplicity,
20 months / 12 months/year = 1.666667 years.
sol.
A = 200(1 + (0.06 × 1.666667)) = 220.000004
A = $220.00
The total amount accrued, principal plus interest, from simple interest on a principal of $200.00 at a rate of 6% per year for 1.666667 years (20 months) is $220.00.
Interest: $20.00
pls hurry ill mark brainleest BUT ONLY IF U GET IT RIGHT
Answer:
C. 15
Step-by-step explanation:
Graph shows the point to 5.
Says " Chocolate in 3 Box"
5*3=15
Hope this help!
Answer:
c15
Step-by-step explanation:
suppose a varies directly as b, and a =8 when b =3 find b when a =24
Answer:
b=9
Step-by-step explanation:
since a varies directly as b,
a=kb
k=a/b
k=8/3
but when a=24, b will be given by
b=a÷k
b=24÷8/3, b=24×3/8
b=9
how do i solve this type of rational equation (x^2-16)/(4-x)
3. At the beach, you would like to fill 5 buckets with seashells. You have
8 minutes to do so. If you set a steady pace, how much of a bucket
should
you
fill in each minute?
A. bucket
B. į bucket
c. bucket
D. buckets
Answer: It will be D
Step-by-step explanation: 5 divided by 8 is 1.2
Help!!![tex]What is the measure of ∠L?[/tex]
Answer:
60°
Step-by-step explanation:
1. Because this is an equilateral triangle (a triangle with all equal sides), all angles are equal and are 60°.
Therefore, ∠L is 60°.
Four fifth of a number 'm' is 4 more than three-fourth of the same number. Find the number.
Answer:
Let the number be x. Then, 4/5x - 3/4x = 4. Hence, The required number is 80.
Step-by-step explanation:
Let the number be x.
According to the question, lets form an equation
5
4x −4
3x +4
⇒ 5 4x − 4
3x =4
20
16x − 15x =4
⇒ 20x =4
⇒ x=4×20
⇒x=80
∴ The number is x=80.