Answers
Answer:
(4,4)
Step-by-step explanation:
We can solve this system of equations using the elimination method.
In order to use the elimination method there must be two variables with the same coefficient. Note that the coefficients don't have to have the same sign ( eg. 6 and -6 would work ). If there are two similar variables with similar coefficients then you can add or subtract, depending on the signs of the coefficients, the two equations "eliminating" the variable. There would then be one variable left over in which you can solve for.
For this case, both equations have 7x, one negative 7 and one positive 7. When the signs are different you add the two equations. So our first step is to add the two equations
7x - 4y = -44
+ (-7x -3y = 16 )
-----------------------
Remove parenthesis
7x -4y = -44
-7x -3y = +16
------------------
0x - 7y = -28
We are left with -7y = -28.
Because there is now only one variable, we can solve for it.
-7y = -28
divide both sides by -7
y = 4
Now we want to find the value of x. We can do this by plugging in the value of y into one of the equations and then solving for x. Note that we can plug in 4 for y into either equation and solve for x and we would get the same answer.
7x - 3y = 16
y = 4
7x - 3(4) = 16
multiply 4 and -3
7x - 12 = 16
add 12 to both sides
7x = 28
divide both sides by 7
x = 4
So x = 4 and y = 4 so the solution to the system of equations is (4,4)
Related Questions
help me plz hey the answer questions
Answers
Answer:
The area of the triangle is 30The triangle is a scalene triangleStep-by-step explanation:
To solve the first question write an equation of
[tex]a=\frac{1}{2} (12)(5)[/tex]
[tex]a=\frac{1}{2} 60[/tex]
[tex]a=30[/tex]
To find the answer to the second question we need to know how to classify the different triangles
Equilateral Triangle- 3 equal sides and 3 equal angles (angles always are 60)
Isosceles Triangle- 2 equal sides and 2 equal angles
Scalene Triangle- No equal sides and no equal angles
So this triangle has no equal sides or angles meaning that it is a scalene triangle
Answer: The area of the triangle is 30
The triangle is a scalene triangle
Step-by-step explanation:
At the market you spent $21 for 5 bags of chips and 3 bottles of mango juice. Your buddy
spent $12 for 2 bags of chips and 3 bottles of mango juice. How much does each item cost?
Answers
Answer:
$2 for each bottle of mango juice and 3$ for each bag of chips
Step-by-step explanation:
hope it can help you lovelots
What is the sum of the first 10 terms of the geometric series 2 + 6 + 18 + 54 + 162 + ...?
Answers
2 + 6 + 18 + 54 + ...
This is a geometric sum and there is a way to find the sum of however many terms as you would like.
The initial term is S1 = 2, the ratio of successive terms is r = 3.
The sum for a geometric sequence of the first n terms is given by
Sn = S1(1 - rn)/(1 - r)
Apply this formula for n = 10.
Which of the ratios below has a unit rate of 5?
Answers
Answer:
Would you mind including the ratios in the comments?
You didn't post any material to solve.
2. Connor went to the carnival with S22.50. He bought a hot dog and a drink for $3.75, and he wanted to spend
the rest of his money on ride tickets which cost $1.25 each. What is the maximum number of ride tickets that he
can buy?
A. Define the variable.
B. Write tire inequality.
D. Write your conclusion/final answer.
C. Solve for the number of weeks that Keith can
withdraw money from his account.
Answers
Answer:
15
Step-by-step explanation:
BOOKMARK
✓ CHECK ANSWER
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A
2
A class trip consists of 84 students and 6 teachers. How many students per teacher are there? I
Answers
Answer:
There are 14 teachers per student
Step-by-step explanation:
students per teacher =
students / teachers
students: 84
teachers 6
84 / 6 = 14
List the sides from shortest to longest in ABC. A 630 50° с B O A. AB,BC , AC о B. BC , AC , AB C. D. AC , BC, AB not enough information O
Help Please!
Answers
Answer:
A. AB, BC, AC
Step-by-step explanation:
The side lengths have the same order (smallest to largest) that their opposite angles have.
Angle B = 180° -50° -63° = 67°
The angles, smallest to largest, are C = 50°, A = 63°, B = 67°.
Their opposite sides (shortest to longest) are AB, BC, AC. (matches choice A)
1/8+3/4= ______________
Answers
Answer:
7/8
you need a common denominator so multiply 3/4 by 2 to get 6/8 so now to have a common denominator then just add 1/8+6/8
Answer:
The answer is 7/8.
Step-by-step explanation:
First convert the 3/4 into eighths to get a common denominator. This will add everything together easier. Since 3/4 = 6/8, that means 1/8 + 6/8 = 1/8 + 3/4. The answer is 7/8. You can't simplify the answer any further.
Dakota earned $12.50 in interest in Account A and $11.25 in interest in Account B after 15 months.
If the simple interest rate is 4% for Account A and 3% for Account B, which account has the greater
principal? Explain.
Answers
Answer:
You haven't explained the time for account A - we will assume 12 months or the answer is obvious:
for Acct(A) : I = 12.5 = A1 * .04 A1 = $312.50
for Acct(B) I = 11.25 = A2 * .03 * 5/4 = 300
Note that annual interest in B is .03 or I = .03 + .03 * 1/4 = .0375 for 15 mos.
11.25 = .0375 * A2 A2 = 300
Account A will have the greater principal
x^2-4x+11
In the form a(x+h)^2+k
Answers
Answer: im very sorry
Step-by-step explanation:
3) Which table does NOT represent a function?
A) A
B) B
C) C
D) D
Answers
Answer:
I think it's c pick c it's c
Answer:
the answer is d
Step-by-step explanation:
A function can not have an input with more than one outcome
On the first down the team returned the ball to the 30 yard line, then they ran the 42 yard line for a gain. which number represents the change? (number line is on pic)
a. -12
b. 0
c. +4
d. +12
Hi, can someone please help me with this? I’ll give branliest if i can!
Answers
Explanation: because they returned the ball to the 30 then they ran 12 more to get to the 42 yards
Hope this is helpful!!
The number which represents the gain as per the question is +12. Hence, option "d" is correct.
What are arithmetic operations?The four basic operations of arithmetic can be used to add, subtract, multiply, or divide two or even more quantities.
They cover topics like the study of integers and the order of operations, which are relevant to all other areas of mathematics including algebra, data processing, and geometry.
As per the information given in the question,
Firstly, the team returned the ball to the 30-yard line.
Then, hey ran to the 42-yard line for a gain.
Then, the number that shows the change will be,
= 42 - 30
= +12, there is gain of +12.
To know more about arithmetic operations:
https://brainly.com/question/13585407
#SPJ2
The length of the base of an isosceles triangle is x. The length of a leg is 5x -5. The perimeter of the triangle is 111. Find x
Answers
Answer:
x = 11
Step-by-step explanation:
Perimeter of a triangle = the sum of the three sides.
In an isosceles triangle there is a base and two equal legs
Perimeter = (x) + (5x - 5) = (5x - 5)
111 = 11x -10
111 + 10 = 11x
121 = 11x
[tex]\frac{121}{11} =\frac{11x}{11}[/tex]
x = 11
I really really really need help with this please I’ll give brainlist
Roy works in the shipping department of a toy factory that makes radio-controlled helicopters. Small helicopters weigh 1 kilogram each, and are shipped in a container that weighs 6 kilograms. Large ones, on the other hand, weigh 2 kilograms apiece, and are shipped in a container that weighs 5 kilograms. If these boxes can hold a certain number of helicopters each, all of the packed containers will have the same shipping weight. How many helicopters would fit in either container? What would the total weight be
Answers
for the small one there would be six small helicopters and two big ones
and the total weight would be 11 for the two containers like one container of large helicopters and one container of small helicopters
if it's wrong i'm very sorry i'm bad at word problems
find vertex and min/max !! HELP ASAP!!
y=-2(x+9)(x+3)
Answers
Answer:
max at (- 6, 18 )
Step-by-step explanation:
Given the equation of a parabola in intercept form
y = a(x + c)(x + d)
• If a > 0 then min vertex
• If a < 0 then max vertex
y = - 2(x + 9)(x + 3) ← is in intercept form
with a = - 2 < 0 then max vertex
y = - 2(x + 9)(x + 3) ← expand factors using FOIL
= - 2(x² + 12x + 27) ← distribute parenthesis by - 2
y = - 2x² - 24x - 54 ← in standard form
with a = - 2 and b = - 24
The x- coordinate of the vertex is
x = - [tex]\frac{b}{2a}[/tex] = - [tex]\frac{-24}{-4}[/tex] = - 6
Substitute x = - 6 into the equation and evaluate for y
y = - 2(- 6 + 9)(- 6 + 3) = - 2(3)(- 3) = 18
vertex = (- 6, 18 ) and is a max
Natalie is graphing point T at (1,8). should she moves to the right 8 units or up 8 units? Explain
Answers
Answer:
move 1 to the right and 8 units up
Step-by-step explanation:
3/4 + 1/2 + 1/3 sum to infinity
Answers
Answer:
18/12
Step-by-step explanation:
Answer:
5/3 or u could make it 5/4 since only 2 n 4 can have 2468 u cant put 4 back
Step-by-step explanation:
question below on photo pls quick
Answers
I hope youre asking for the y=mx+b kind of equation… if so its y=2x-1
x²-2/p(p²+1)+4
What is the value of factor
Answers
Explanation:
The roots of a quadratic ax2+bx+c=0 are equal when the discriminant (b2−4ac) is equal to 0
In this case
a=1
b=−2p
c=(p+2)
So the discriminant is
(-2p)2−4(1)(p+2) =4p2−4p−8
which factors as
=4(p−2) (p+1)
and the discriminant
=0 if p=2 or p=−1
-4y + 12 = -7y + 24
I’ll give Brain whoever solves
PLEASE DO IT STEP BY STEP
Answers
Answer:
y - 4
Step-by-step explanation:
subtract 12 from both sides of the equation
4y+12-12= -7y +24 - 12
-4y = -7y +24 - 12
subtract
-4y +-7y + 12
add 7y to both sides of the equation
-4y + 7y = -7y +12 + 7y
simplify
3y + -7y +12 + 7y
combine like terms.
3y = 12
divide
3y/3
=12/3
simplify
y=12 3
y = 4
Answer:
y = 4
Step-by-step explanation:
Given the algebraic equation, -4y + 12 = -7y + 24, the goal is to solve for the value of y by isolating it to either sides of the equation.
Start by adding 7y to both sides of the equation:
-4y + 7y + 12 = -7y + 7y + 24
3y + 12 = 0 + 24
3y + 12 = 24
Next, subtract 12 from both sides:
3y + 12 - 12 = 24 - 12
3y = 12
Divide both sides by 3 to isolate and solve for y:
[tex]\frac{3y}{3} = \frac{12}{3}[/tex]
y = 4
Double-check whether the value of y will provide a true statement if plugged into the equation:
-4y + 12 = -7y + 24
-4(4) + 12 = -7(4) + 24
-16 + 12 = -28 + 24
-4 = -4 (True statement).
Therefore, the value of y = 4.
can anyone help me please anyone
Answers
Answer:
x=104
Step-by-step explanation:
In case you didn't know, "m || n" means that line "m" is parallel to line "n".
Line "t" crosses over lines "m" and "n". Since "m" and "n" are parallel, the angles of Line "t" are the same on either line. The angle measuring 104° is what's known as an exterior angle. In the image shown, B and G have the same measurement and so does A and H. Therefore, Angle "x" measure 104°.
The height of an experimental plant after x days can berepresented by the formula 3(4x+2). The height of a second plant can be represented by the formula 6(2x+2). Is it possible that the two plants will ever be the same height? Explain.
Answers
Answer: No
Step-by-step explanation:
The question is whether 3(4x+2) could ever equal 6(2x+2). So let's set them equal to each other and find if there is a value of x, the days, where they are equal.
3(4x+2) = 6(2x+2)
12x + 6 = 12x+2
6 = 12?? No
They will bnever be at the same height. They are growing at the same rate (12x) but starting at different heights (6 and 12)
a car travels 30m in 2 minutes whats the speed
Answers
Answer:
15
Step-by-step explanation:
speed is distance over time so its 30 devided by 2
If mCA = 50° and mER = 40⁰, what is the m∆CSA ?
Answers
Answer:
45°Step-by-step explanation:
Given:
mCA = 50° mER = 40⁰Angle formed by intersecting chords is the half the sum of arc measures formed by same chords:
m∠CSA = m∠ESR = 1/2(mCA + mER) = 1/2(50° + 40°) = 45°4/9 plus -6/9
PLS I NEED HELP ASAP
Answers
Answer:
-2/9
Step-by-step explanation:
Since the denominators are the same, we can combine like terms
4/9 + (-6/9)
-2/9
[tex] \: \: \: \: \: \: [/tex]
[tex] = - \frac{2}{9} [/tex]
Step-by-step explanation:
[tex] \frac{4}{9} + \frac{ - 6}{9} [/tex]
write all numerators above the common denominator[tex] \frac{4 - 6}{9} [/tex]
calculate the difference[tex] \frac{ - 2}{9} [/tex]
[tex]use \: \: \frac{ - a}{b } = \frac{a}{b} = - \frac{a}{b} \: \: \: \: to \: \: rewrite \: \: the \: \: fraction[/tex]
[tex] = - \frac{2}{9} \\ \\ or \: \: in \: \: alternate \: form \\ \\ - 0.2[/tex]
hope it helps[tex] \: \: \: \: \: \: [/tex]
PLS HELP ME!!! I really need help with this!!! Pls give me an honest answer my teacher is going to grade this.
Answers
(12.3x7) + 15 + 10.5 = total length
Help algebra 2 please
Answers
Answer:
i just need point im so sorry only in Geomotry
Order the following fractions from least to greatest
Answers
Answer:
1/8, 2/9, 3/7, 5/8, 4/5
Step-by-step explanation:
mark brainlist
Answer: he is right I don't want to still his win
Step-by-step explanation:
mark him brainiest
I need help with a few questions, if you answer one that is Great too!
Answers
Answer:
E is (5, 1)
Step-by-step explanation:
Let E be the point (x, y).
(-3 - x)^2 + ( 7 - y)^2 = 10^2 ( Pythagoras theorem)
Now 64^2 + 36^2 = 10^2 so we try:
(-3 - 5)^2 + ( 7- 1)^2 = 100
Giving x = 5 and y = 1 which looks right from the diagram.
3x−7= Can you Guys help
Answers
Answer:
not sure
Step-by-step explanation:
Answer:
x= 7
3
Step-by-step explanation:
find x by making the subject of formula
3x=7x = 7 3