Answer:
The solution to the system of equations be:
x = 0.5, y = -0.5
Step-by-step explanation:
Given the system of equations
[tex]\begin{bmatrix}2x+4y=1\\ 3x-5y=7\end{bmatrix}[/tex]
Multiply 2x+4y=1 by 3: 6x+12y=3
Multiply 3x-5y=7 by 2: 6x-10y=14
[tex]\begin{bmatrix}6x+12y=3\\ 6x-10y=14\end{bmatrix}[/tex]
subtracting the equations
[tex]6x-10y=14[/tex]
[tex]-[/tex]
[tex]\underline{6x+12y=3}[/tex]
[tex]-22y=11[/tex]
solve -22y for y
[tex]-22y=11[/tex]
Divide both sides by -22
[tex]\frac{-22y}{-22}=\frac{11}{-22}[/tex]
Simplify
[tex]y=-\frac{1}{2}[/tex]
[tex]y = -0.5[/tex]
For 6x+12y=3 plug in y = -1/2
[tex]6x+12\left(-\frac{1}{2}\right)=3[/tex]
[tex]6x-12\cdot \frac{1}{2}=3[/tex]
[tex]6x-6=3[/tex]
Add 6 to both sides
[tex]6x-6+6=3+6[/tex]
[tex]\frac{6x}{6}=\frac{9}{6}[/tex]
Simplification
[tex]x=\frac{3}{2}[/tex]
[tex]x = 1.5[/tex]
Therefore, the solution to the system of equations be:
x = 0.5, y = -0.5
answer question a and b please
David wishes to build a circular fish pond. The diameter of the pond is to be 3m.
a. How many lineal meters of bricks are needed to surround it? Round your answer to two decimal places.
b. What is the coast if the bricks are $45 per meters? ( Use your answer from part a.)
Answer:
9.42m , $423.9
Step-by-step explanation:
C = 2πR
so, 2*3.14*1.5
=9.42478m
9.42*$45
= $423.9
PLZ HELP I GIVE BRAINLIEST
9514 1404 393
Answer:
2
Step-by-step explanation:
The recommended way to multiply mixed numbers is to convert them to improper fractions. Where there are factors that cancel, this works nicely.
[tex]1\dfrac{2}{3}\times1\dfrac{1}{5}=\dfrac{5}{3}\times\dfrac{6}{5}=\dfrac{5\cdot3\cdot2}{5\cdot3}=\boxed{2}[/tex]
Carmen bought candy to go into
treat bags. The ratio of candy to
treat bags was 7:1. If she bought
84 pieces of candy, how many
bags would she need?ASAP
Answer:
12 treat bags
Step-by-step explanation:
Answer the attached question. 10 points are yours
1/2+ 4x = 5 Make sure you show all steps Draw or add images here +
Answer:
x= 1.125
Step-by-step explanation:
0.5 + 4x = 5
4x = 5 - 0.5
4x = 4.5
x = 4.5/4
x= 1.125
Answer:
x=1.125
Step-by-step explanation:
1/2+4x=5
5-1/2=4.5
4.5/5=1.125
Write an equation of the given line that passes through the given point and has the given slope m
(-3,-11);m=1/2
***Please help me with this giving a crown away ****
Sara ran 3.2 miles on Monday and another distance on Tuesday.
She ran a total of 6.1 miles on Monday and Tuesday.
How many miles did Sara run on Tuesday?
Enter your answer as the correct value, like this: 4.2
Answer:
2.9 miles
Step-by-step explanation:
If she ran a total of 6.1 miles then you just do 6.1 - 3.2 = 2.9 miles
Answer:
Sara ran 3.2 miles on Monday and another distance on Tuesday.
She ran a total of 6.1 miles on Monday and Tuesday.
How many miles did Sara run on Tuesday?
Enter your answer as the correct value, like this: 4.2
Step-by-step explanation:
Correct value: 3.1?
I think its right
in which step was an error made?? plzz answer fasttt
Answer:
Step 1
Step-by-step explanation:
they forgot the negative
A color printer prints 16 pages in 7 minutes.
How many pages does it print per minute?
the product of 5 and 3
less than 7
-8
5*3=15
7-15=-8
i have to add charcters so i can post
Answer:
[tex]the \: \: product \: \: of \: \: 5 \: and \: 3 = 5 \times 3 = 15 \\ less \: than \: 7 \\ \\ it \: \: meam \: 7 - 15 = - 8[/tex]
I ᴛʜɪɴᴋ - 8 ᴛʜɪs ɪs ᴛʜᴇ ʀɪɢʜᴛ ᴀɴsᴡᴇʀ...
Just confusing..
27 + 9x = 12x - 6
(Provide steps)
Answer:
Let's solve your equation step-by-step.
27+9x=12x−6
Step 1: Simplify both sides of the equation.
27+9x=12x−6
27+9x=12x+−6
9x+27=12x−6
Step 2: Subtract 12x from both sides.
9x+27−12x=12x−6−12x
−3x+27=−6
Step 3: Subtract 27 from both sides.
−3x+27−27=−6−27
−3x=−33
Step 4: Divide both sides by -3.
−3x
−3
=
−33
−3
x=11
Answer:
x=11
Step-by-step explanation:
please help with all work/explanation in answer i will mark brainliest
Answer:
see explanation
Step-by-step explanation:
(10)
let x represent blueberry pie and y blackberry pie, then
x + 2y = 53 → (1)
10x + 3y = 224 → (2)
Multiplying (1) by - 10 and adding to (2) will eliminate x
- 10x - 20y = - 530 → (3)
Add (2) and (3) term by term to eliminate x
0 - 17y = - 306
- 17y = - 306 ( divide both sides by - 17 )
y = 18
Substitute y = 18 into either of the 2 equations and solve for x
Substituting into (1)
x + 2(18) = 53
x + 36 = 53 ( subtract 36 from both sides )
x = 17
Then
the cost of 1 blueberry pie is $17 and 1 blackberry pie is $18
----------------------------------------------------------------------------------------
The equation of a line in slope- intercept form is
y = mx + b ( m is the slope and b the y- intercept )
Calculate m using the slope formula
(11)
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (4, 2) and (x₂, y₂ ) = (0, 3)
m = [tex]\frac{3-2}{0-4}[/tex] = - [tex]\frac{1}{4}[/tex]
The line crosses the y- axis at (0, 3 ) ⇒ b = 3
y = - [tex]\frac{1}{4}[/tex] x + 3 ← equation of line
(12)
(x₁, y₁ ) = (- 3, 1) and (x₂, y₂ ) = (4, 2)
m = [tex]\frac{2-1}{4+3}[/tex] = [tex]\frac{1}{7}[/tex] , then
y = [tex]\frac{1}{7}[/tex] x + b ← is the partial equation
To find b substitute either of the 2 points into the partial equation
Using (3, 1 ), then
1 = [tex]\frac{3}{7}[/tex] + b ⇒ b = 1 - [tex]\frac{3}{7}[/tex] = [tex]\frac{4}{7}[/tex]
y = [tex]\frac{1}{7}[/tex] x + [tex]\frac{4}{7}[/tex] ← equation of line
If a =
-5i and b = -4x, then find the value of a+b in fully simplified form.
If a =-5i and b = -4x the value of a+b in the fully simplified form will be 5i-4x.
What is a complex number?It is defined as the number which can be written as x+iy where x is the real number or real part of the complex number and y is the imaginary part of the complex number and i is the iota which is nothing but a square root of -1.
It is given that,a =-5i and b = -4x
We have to find the value of a+b in a fully simplified form.
We have to apply the arithmetic operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.
=a+b
= -5i-4x
Thus, if a =-5i and b = -4x the value of a+b in the fully simplified form will be 5i-4x.
Learn more about the complex number here:
brainly.com/question/10251853
#SPJ2
How will the solution of the system y>2x+2/3 and y<2x1/3 change if the inequality sign on both inequalities is reversed
Answer:
We have the inequalities:
y > 2*x + 2/3
y < 2*x + 1/3
First, we need to understand how to see the solutions of each one of these.
y > 2*x + 2/3
The solution set of this inequality will be ALL the points above the line:
y = 2*x + 2/3
And the solution of the inequality:
y < 2*x + 1/3
Will be the set of all the points below the line:
y = 2*x + 1/3
Notice that line "y = 2*x + 2/3" is above than the line "y = 2*x + 1/3"
Then the system:
y > 2*x + 2/3
y < 2*x + 1/3
Has no solutions.
If we reverse both inequalities, we will get:
y < 2*x + 2/3
y > 2*x + 1/3
Now the solution of the first inequality will be all of the region below the line, and the solution for the second will be all the region above the line.
In this case, the solution of the system will be all the region between both lines, as we can see on the graph below. Where the solution of the system is the doubled shaded area.
What is the slope of the line through (-1, 4) and (1, -2)?
(1.4)
3
2
-1
2
3
4
1
-2
(12)
-3
O A. -3
B.
d
C. 3
< PREVIOUS
A TV that usually sells for $185.63 is on sale for 25% off. If sales tax on the TV is 5%, what is the price of the TV, including tax?
Answer: A TV that usually sells for $185.63 is on sale for 25% off. If sales tax on the TV is 5%, what is the price of the TV, including tax?
178.18 x 0.25 = 44.55
178.18 - 44.55 = 133.63 = sales price
133.63 x 0.05 = 6.68
133.63 + 6.68 = 140.31 = total price
Step-by-step explanation: That's how I solved it...
evaluate the expression 5 3 =
Answer:
Do you mean to multiply? you don't have any sign. if you meant multiply its 15, if you meant divide it's 1 2/3, if it's addition it's 8, if its subtraction it's 2
6/7 times 3/4 = x
IN SIMPLEST FORM
Answer:
I believe 6/7 times 3/4 in the simplest form is 9/14 because you aren't able to put anything in both of those numbers
Step-by-step explanation:
The value of x in the equation (6/7) × (3/4) = x is 9/14.
To find the value of x in the equation (6/7) × (3/4) = x.
We can simply multiply the two fractions together.
Multiplying the numerators and denominators gives us:
(6 × 3) / (7 × 4)
= 18/28
The fraction 18/28 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 2.
(18/2) / (28/2)
= 9/14
To learn more on Equation:
https://brainly.com/question/10413253
#SPJ6
What is the value of x in the equation 1.5(x + 4) – 3 = 4.5(x - 2)?
Answer:
The answer is x=4.
Step-by-step explanation:
Have a great day!
9 cows can eat all the grass in a field in 21 days.How many days would it take for 3 cows
Answer:
63 Days
Step-by-step explanation:
Add my discord kisS_My_Axe101#8338
A cylinder has a volume of 45pi and a radius of 3. What is it’s height?
It’s height is _____ units.
Answer:
It’s height is 5 units.Step-by-step explanation:
[tex]V=\pi R^2\cdot H\\\\V=45\pi\\R=3\\H=??\\\\45\pi=\pi\cdot3^2\cdot H\\\\45=9H\\\\H=5[/tex]
Convert y = 5x2 + 20x + 11 to VERTEX form.
Answer:
y =5(x+2)2−6 is the correct ans
The vertex form of quadratic equation is expressed as:
y = a (x - h) + k
We manipulate the given equation to be the same as the vertex form. First we transpose the constants to the left-hand side.
y - 14 = 5x+ 20x
Then, we factor out in right hand side the coefficient of the x² term.
y- 14 = 5 (x + 4x)
We divide the coefficient of the x term with 2 and take its square. We add this value to both sides of the equation but we should remember that in the left-hand side we should multiply this value with five to keep it balanced.
y - 14 + 20 = 5 (x + 4x +4)
We simplify the right-hand side as:
y =5(x+2)2−6
(hope that helps can i plz have brainlist :D hehe)
Step-by-step explanation:
The vertex form is one of the most commonly used forms for quadratic functions, as it emphasizes the dimensions of the substring graph's vertex.
Vertex form:A vertex form of a solution is a unique way of spelling out such a parabola's equation. Usually, a quadratic equation is expressed as an x² + bx + c, which is a parabola if plotted on a graph.[tex]\to y= 5x^2+20x+11\\\\[/tex]
Solving the equation:
[tex]\to y= 5(x+2)^2-9\\\\\to y= 5 (x^2+2^2+ 2\times 2 x)-9\\\\\to y= 5 (x^2+4+ 4x)-9\\\\\to y= 5x^2+ 20+ 20x-9\\\\\to y= 5x^2+ 20x +11\\\\[/tex]
So, the value is "5(x+2)²-9".
Find out more about the vertex form here:
brainly.com/question/13921516
What is 4n-32? Factor your expression using the greatest common factor.
Answer:
4(n-8)
Step-by-step explanation:
take out 4 from 4n-32
so it's 4(n-8) coz 32÷4=8 so yeah
What are the two solutions of 2x2 = –x2 – 5x – 1?
Answer:
Step-by-step explanation:
quadratic formula
x = -(-5)+
у= -3х + 3
у = 3х – 3
у= 3х - 1/3
у = -1/3х + 3
Answer:
the answer is D
Step-by-step explanation:
Do rise over run and y intercept is 3
(2, 14), (6, 34), (8,44), (x, 64). What is the value of x?
Answer:
12
Step-by-step explanation:
PLSSSS HELPP MEEEE PLSS :((
Answer:
X.
Step-by-step explanation:
Please help me fast!!!!!!!!!!
Answer: 4x-12x
Step-by-step explanation:
Distributive preoperty so -6*-2/3=4 and -6*2x= -12x together 4x-12x equals option c
Answer:
You're going to myltiply -6 ×-2/3 which will equal positive 4 and -6 ×2x which is going to equal-12. So your answer is 4-12x
What is the value of y?
What is the value of x?
Answer:
y = 8 and x = 8 sqrt(3)
Step-by-step explanation:
sin(60)=x/16
16sin(60)=x
x=8 sqrt(3)
cos(60)=y/16
16cos(60)=y
y=8