Find the solution to the system of equations.
-8x + 4y = 24
-7x + 7y = 28.
please answer accurately with full explanation. don't spam
Answer:
x = -2, y = 2
Step-by-step explanation:
-7x + 7y = 28
7y = 28 + 7x
y = 4 + x ----(1)
-8x+4y=24 -----(2)
sub (1) into (2)
-8x+4(4+x)=24
-8x+16+4x = 24
-8x+4x = 24-16
-4x = 8
x = -2
sub x = -2 into (1)
y=4+(-2) = 2
Answer:
1) 2x - y + 6 = 0
2) x - y + 4 = 0
Step-by-step explanation:
1) -8x + 4y = 24
= -8x + 4y - 24 = 24 - 24
= -8x + 4y - 24 = 0
= (-8x + 4y - 24) ÷ 4 = 0 ÷ 4
= -8x ÷ 4 + 4y ÷ 4 - 24 ÷ 4 = 0
= -2x + 4y ÷ 4 - 24 ÷ 4 = 0
= -2x + y - 24 ÷ 4 = 0
= -2x + y - 6 = 0
= 2x - y + 6 = 0
2) -7x + 7y = 28
= -7x + 7y - 28 = 28 - 28
= -7x + 7y - 28 = 0
= (-7x + 7y - 28) ÷ 7 = 0 ÷ 7
= -7x ÷ 7 + 7y ÷ 7 - 28 ÷ 7 = 0 ÷ 7
= -7x ÷ 7 + 7y ÷ 7 - 28 ÷ 7 = 0
= -x + 7y ÷ 7 - 28 ÷ 7 = 0
= -x + y - 28 ÷ 7 = 0
= -x + y - 4 = 0
= x - y + 4 = 0
Mathematics question. Please help
Step-by-step explanation:
Look at the table in picture above the result of table is true for all values so it is called tautology.
And there is a mistake in row 1.
Note:if you need to ask any question please let me know.
find the value of x
x = [?]
Answer
4
Step by step explanation
2/3=x/10-x
cross multiply
2(10-x)=3x
20-2x=3x
20=3x+2x
20=5x
x=4
if f(x)=3x+8/2x-Aand f(0)=2.what is the value of a?
Answer:
[tex]a=-4[/tex]
Step-by-step explanation:
Since [tex]f(x)=\frac{3x+8}{2x-a}[/tex], we have
[tex]2=f(0)=\frac{3(0)+8}{2(0)-a}=-\frac8a[/tex]
Taking the reciprocal gives
[tex]-\frac a8=\frac12[/tex]
Then multiplying by [tex]-8[/tex] gives
[tex]a=\frac12(-8)=-4[/tex]
(b) simplify (5ab^2)^2
Answer:
[tex] (5 {ab}^{2} ) {}^{2} \\ = ( {5}^{2} )( {a}^{2} )( {b}^{2} ) {}^{2} \\ { \boxed{= 25 {a}^{2} {b}^{4} }}[/tex]
Solve for x in the equation below.
-3x + 2 = -7
Answer:3
Step-by-step explanation:
-3x+2=-7
subtract 2 from both sides
-3x+2-2-(-7-2
simplify the arithmetic
-3x=-7-2
simplify the arithmetic aging
-3x=-9
=3
32 to nearest houndred
Find the missing angle.
Answer:
Your answer is K= 60
I hope it's helps you
A railway engine is of mass 72tonnes and 11m long. An exact scale model is made of it and is 44cm long. find the mass of the model
Answer:
it is correct
Step-by-step explanation:
2000 N
The resistance force acting is 1N per ton.
Tension in the coupling between engine and the wagon is 2000N.
Answer:
46 will be converted to .44m
x will be the mass of the 44 cm engine
x/72 = .44^3/11^3
x/72 = 0.085/1331
cross multiply
1331x = 72 x 0.085
1331x = 6.12
x= 6.12/1331
=0.004598
x = 0.004598 tonnes
change to kilograms
0.004598*1000 = 4.6 kg
Saji swims 1/3 mi every day. One day he had already swum 1/5 mi. How much further should he swim?
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Answer:
2/15 mi
Step-by-step explanation:
The difference of two fractions can always be computed using the pattern ...
[tex]\dfrac{a}{b}-\dfrac{c}{d}=\dfrac{ad-bd}{bd}[/tex]
Using this pattern to find the difference of 1/3 and 1/5, we see it is ...
1/3 -1/5 = (5 -3)/(3·5) = 2/15
Saji must swim 2/15 miles further to complete his 1/3 mile swim.
Is 10 irrational or rational
Answer:
Rational
Step-by-step explanation:
An irrational number is a number that goes on forever, such as pi. These numbers have infinite decimals.
In contrast, a rational number is a number that can be created by dividing two other integers.
These numbers do not go on forever.
10 is a rational number because it can be created by dividing 2 other integers, and it does not go on forever.
tell whether the statement is always, sometimes, or never true for real numbers a, b, and c.
(a+ b) + c = a + (b + c)
Answer:
true
Step-by-step explanation:
a,b,c is constant
[tex]-7+1[3+8(2^2-8)][/tex]-7+1[3+8(2^2-8)]
Answer:
-36
Step-by-step explanation:
-7+1[3-32]
= -7-29
= -36
I also need an explanation please
(A)
Step-by-step explanation:
The meal cost $45.25 so 20% of this for tip is
($45.25)(0.20) = $9.05. Since the tip is split between 4 friends, divide this tip by 4 and each one paid ($9.05/4) = $2.26.
What is the product?
(-202+5)(502-65)
O-1004+17025-652
-1004+170452-652
0-1004-7029-682
0-1004 +1702S+682
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Answer:
(a) -10d^4 +17d^2s -6s^2
Step-by-step explanation:
Use the distributive property to eliminate parentheses, then collect terms.
[tex](-2d^2+s)(5d^2-6s)=-2d^2(5d^2-6s)+s(5d^2-6s)\\\\=(-2d^2)(5d^2) +(-2d^2)(-6s)+s(5d^2)+s(-6s)\\\\=-10d^4+12d^2s+5d^2s-6s^2\\\\=\boxed{-10d^4+17d^2s-6s^2}[/tex]
Will give brainliest
Combine like terms to simplify the
equation below.
4a - 2a + 6b + 2a
=
[?]a +
[ ]b
I need some help I’ve been trying to figure this out for a while now and I keep coming up with different answers. Match the pairs of equivalent expressions.
Answer:
dccxxydffffyyyrtttttttyhg
the line y=mx+7 is perpendicular to the line y=3/4x-9. what is the value of m?
Answer:
-4/3
Step-by-step explanation:
In y=mx+b, m represents the slope. In the second line, we are multiplying x by (3/4). This represents the slope of the second line.
To find the slope of a perpendicular line, we take the negative reciprocal of the current slope. In the first line, m represents the slope. The reciprocal of 3/4 is 4/3, and the negative reciprocal of 3/4 is -4/3. This is the value of m
Simplify the following expression and show your work in details please .
Answer:
9-2b
Step-by-step explanation:
Set up equation:
[tex]9 - 8b + 6b[/tex]
Add like terms
[tex]9 - 2b[/tex]
You have 32Tbsp of peppercorns. You need 0.25tsp to make one serving of beef brisket. How many servings can you make?
Answer:
128 servings
Step-by-step explanation:
I ate 80 pieces of candy in the bag. If I ate 2/3 pieces of candy in the bag, how much candy would I have left
Answer:
[tex]thank \: you[/tex]
The number of candies left in the bag is given by the equation n = 40 candies
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as n
Now , the value of A is
The number of candies which were eaten = 80 candies
The fraction of candies that were eaten = 2/3
So , ( 2/3 ) of the total = 80
( 2/3 )A = 80
Multiply by 3 on both sides , we get
2A = 240
Divide by 2 on both sides , we get
A = 120 candies
Now , the number of candies that were left n = total number of candies - number of candies that were eaten
On simplifying the equation , we get
The number of candies that were left n = 120 - 80
The number of candies that were left n = 40 candies
Hence , the number of candies that are left is 40 candies
To learn more about equations click :
https://brainly.com/question/19297665
#SPJ2
Which decimal is closest to the dot marked on the number line?
Mary has $100. She spends $150. What is her balance?
Answer:
is this right question ❓
Use the distributive property to remove the parentheses.
-7(v– 3y-6)
Answer:
-7v+21y+42
Step-by-step explanation:
Ronnie sales wooden toothpicks it cost him $.10 to make a box of toothpicks he charges $1.20 per box toothpicks how many toothpicks does he need to sell to profit $1000
Answer:
910 boxes of toothpicks
Step-by-step explanation:
Create an equation to represent the situation, and let x represent the number of boxes of toothpicks.
1.20x - 0.1x = 1000
1.1x = 1000
x = 909.09
Round up to the nearest whole number:
= 910
So, Ronnie would have to sell 910 boxes of toothpicks to profit $1000.
The diameter of a circle is 19 7/8". What is the circumference (to 2 decimal places)?
Please note:
C = πd
Answer:
62.41
Step-by-step explanation:
19 7/8= 19.875
C= pie x d
C= 3.14 x 19.875
C= 62.4075
C= 62.41 (if you want 2 decimal places)
HELP PLEASSSEEE!!!???
(1 point) An advertiser goes to a printer and is charged $40 for 60 copies of one flyer and $50 for 170 copies of another
flyer. The printer charges a fixed setup cost plus a charge for every copy of single-page flyers. Find a function that
describes the cost of a printing job, if x is the number of copies made. C(2) =
HELPPPPPP PLEASSSEEE!!!
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Answer:
C(x) = x/11 + 34 6/11
Step-by-step explanation:
The two given points are (x, C) = (60, 40) and (170, 50). These can be used in the 2-point form of the equation for a line to find the cost function.
y = (y2 -y1)/(x2 -x1)(x -x1) +y1
y = (50 -40)/(170 -60)(x -60) +40
y = (1/11)(x -60) +40
C(x) = 1/11x +34 6/11 . . . . . . cost as a function of copies made
9. A line contains L(-4,-4) and M(2, 3). Line q is in
the same coordinate plane but does not intersect IM.
Line q contains point N.
don't know hahahahahahahau
What is the exponential form of the following expression?
(–5)(–5)(–5) · c · c · c
Answer: -5^3
Step-by-step explanation:
HELPPPP ASAPPPPPPPPPPPPPP!!!!!!!!
Answer:
1/2 plus 5/6 would equal 8/6 cause six is the lowest denominator so then you times 8/6 by 3 and the 2/9 by 2 and that would give you 24/18 and 4/18 and you subtract them together to 20/18 or 1 2/18
Step-by-step explanation:
1/2 plus 5/6 would equal 8/6 cause six is the lowest denominator so then you times 8/6 by 3 and the 2/9 by 2 and that would give you 24/18 and 4/18 and you subtract them together to 20/18 or 1 2/18
1/2 = 3/6
5/6 + 3/6 = 8/6
8/6 x 3 = 24/18
2/9 x 2 = 4/18
24/ 18 - 4/18 = 20/18 or 1 and 2/18