Answer:
x = -8
Step-by-step explanation:
x = 2y - 4 --- Equation 1
7x + 5y = -66 --- Equation 2
I will be using the substitution method to solve this.
Substitute x = 2y - 4 into Equation 2:
7x + 5y = -66
7(2y - 4) + 5y = -66
Evaluate.
14y - 28 + 5y = -66
Evaluate like terms.
19y - 28 = -66
Isolate 19y.
19y = -66 + 28
= -38
Find y.
y = -38 ÷ 19
y = -2 --- Equation 3
Substitute y = -2 into Equation 1:
x = 2y - 4
x = 2(-2) - 4
Evaluate.
x = -4 - 4
x = -8
Solve the system of linear equations below by substitution.
y = -2x + 6
-4x - 6y = 4
Group of answer choices
(-2, 10)
(5, -4)
(3, 0)
(0, 6)
Answer:
(5, -4)
Step-by-step explanation:
Substitute y from the first equation into the second equation:
-4x - 6(-2x + 6) = 4
Simplify:
-4x + 12x - 36 = 4
8x = 40
x = 5
The only answer choice where x = 5 is (5, -4).
Answer:
[tex]\boxed {\boxed {\sf (5, -4)}}[/tex]
Step-by-step explanation:
We are given the two equations:
[tex]y= -2x+6 \\-4x-6y=4[/tex]
We are asked to solve by substitution. Since we know that y is equal to -2x+6, so we can substitute the expression in for y in the second equation.
[tex]-4x-6y=4[/tex]
[tex]-4x-6(-2x+6)=4[/tex]
Now, solve for x by isolating the variable on one side of the equation.
First, distribute the -6 into the expression. Multiply each term in the parentheses by -6.
[tex]-4x+ (-6*-2x)+(-6*6)=4[/tex]
[tex]-4x+12x+(-6*6)=4[/tex]
[tex]-4x+12x-36=4[/tex]
Combine like terms. There are 2 x terms that can be added.
[tex](-4x+12x)-36=4[/tex]
[tex]8x-36=4[/tex]
36 is being subtracted from 8x. The inverse of subtraction is addition, so add 36 to both sides of the equation.
[tex]8x-36+36=4+36[/tex]
[tex]8x=40[/tex]
x is being multiplied by 8. The inverse of multiplication is division, so divide both sides by 8.
[tex]\frac{8x}{8} =\frac{40}{8}[/tex]
[tex]x=5[/tex]
x is known, so we can find y using the first equation.
[tex]y=-2x+6[/tex]
x is equal to 5, so substitute the value in.
[tex]y=-2(5)+6[/tex]
Multiply first.
[tex]y=-10+6[/tex]
Add.
[tex]y=-4[/tex]
A solution is written as (x,y). So, the solution to this equation is (5, -4).
Help please!!
I don't know
Answer:
2/3 or 0.6
Step-by-step explanation:
Convert 1 2/3 to an improper fraction: 5/2. Cancel the common factor of 5 to get 2*1/3, then combine 2 and 1/3 for 2/3. 2/3 is your answer. 0.6 is the decimal form for this answer.
Which graph represents a proportional relationship?
Answer:
C
Step-by-step explanation:
You’re instructed to prepare for a promotional candle sale you will use to test the popularity of the two redesigned candles. Wicks, labor, and other costs add about $1.60 to the cost of each candle.
Suggest a retail price for each candle that will cover costs and allow for some profit. Explain how you determined these prices. It should include specific values derived from your calculations.
Answer:
THE SMALLEST FORMS:
- smallest prism ---> the cube with all sides 2 ==> the volume is 2*2*2 = 8 cm^3
- smallest pyramid number one ---> the pyramid with base sides 2 and the height also 2 ==> the volume is (1/3)*2*2*2 = 8/3 cm^3
- smallest pyramid number two ---> the pyramid with base sides 2 and the lateral sides also 2 ==> the radius of the base is sqrt(2) ==> [pyramid_height]^2 = [lateral_side]^2 - [base_radius]^2 = 2^2 - sqrt(2)^2 = 4 - 2 = 2 ==> pyramid_height = sqrt(2) ==> the volume is (1/3)*2*2*sqrt(2) = 4*sqrt(2)/3 cm^3
- smallest cylinder --> the cylinder of diameter 2 and height also 2 ==> the radius is diameter/2 = 2/2 = 1 ==> the volume is pi*(radius^2)*height = pi*(1^2)*2 = pi*1*2 = 2*pi cm^3
The lesser volume is the volume of the smallest pyramid number two. ==> it's wax cost is approximately 0.0075 * 4 * 1.42 / 3 $ per candle = 0.014 $ per candle ==> the total cost per candle is approximately 0.014 + 1.6 = 1.614 $ per candle.
THE BIGGEST FORMS:
- biggest prism ---> the cube with all sides 10 ==> the volume is 10*10*10 = 1000 cm^3
- biggest pyramid number one ---> the pyramid with base sides 10 and the height also 10 ==> the volume is (1/3)*10*10*10 = 1000/3 cm^3
- biggest pyramid number two ---> the pyramid with base sides 10 and the lateral sides also 10 ==> the radius of the base is 5*sqrt(2) ==> [pyramid_height]^2 = [lateral_side]^2 - [base_radius]^2 = 10^2 - [5*sqrt(2)]^2 = 100 - 50 = 50 ==> pyramid_height = 5*sqrt(2) ==> the volume is (1/3)*10*10*5*sqrt(2) = 500*sqrt(2)/3 cm^3
- biggest cylinder --> the cylinder of diameter 10 and height also 10 ==> the radius is diameter/2 = 10/2 = 5 ==> the volume is pi*(radius^2)*height = pi*(5^2)*10 = pi*25*10 = 250*pi cm^3
The bigger volume is the volume of the biggest prism (the side-10 cube). ==> it's wax cost is 0.0075 * 1000 $ per candle = 7.5 $ per candle ==> the total cost per candle is 7.5 + 1.6 = 9.1 $ per candle
The range of the cost is the interval [1.614 ; 9.1]. Depending on other prices on the market, you greed, and other factors you will put a profit margin: maybe 20% of the cost ; maybe a fixed margin like 5$. So the price per candle will be the cost per candle plus the profit margin per candle.
If I were to choose the base length I would have to say 6 because it is the arithmetic mean between 2 and 10: (2+10)/2 = 12/2 = 6. 2cm is too small, and 10cm is too big.
Also if you start with a rectangle of length 10 and width 2 and you have to find the rectangle with the largest area by being allowed to increase the width and decrease the width with the same quantity you get this:
Area of the new rectangle is (10-x)(2+x) = -x^2 + 8x + 20 = -x^2 + 8x -16 + 36 = -(x^2 - 2*x*4 + 4^2) + 36 = -(x-4)^2 + 36 = 36 - (x-4)^2 which has the maximum value of 36 because out of 36 you subtract a positive value. You get the maximum when (x-4)^2 = 0 ==> x-4=0 ==> x=4
The new length is 10-4=6 and the new width is 2+4=6.
Next I would choose the height of the prism (I like prisms :P) to be [the_golden_ratio]*[base_side] which is approximately 1.618 * 6 = 9.708 which I would round up to 10. ==> The volume would be 6*6*10 = 360 cm^3. ==> the cost would be 0.0075*360 + 1.6 = 2.7 + 1.6 = 4.3 $ per candle. And because my candle is so perfect I'd put the profit margin to be 5.69 $ per candle so I can proudly show it in the store with the price of 4.3 + 5.69 = 9.99 $ :)
A salesman's commission is directly proportional to his total sales. If the commission is $100 for $1000 in sales, find the commission for $1750 in sales.
The commission of the salesmen with the given ratio will be $175.
What are the ratio and proportion?The ratio is the division of the two numbers.
For example, a/b, where a will be the numerator and b will be the denominator.
Proportion is the relation of a variable with another. It could be direct or inverse.
As per the given,
The commission is $100 for $1000 in sales.
Ratio of commission to sales = 100/1000 = 0.1
With the same ratio,
Commission/1750 = 0.1
Commission = 1750 x 0.1 = $175
Hence "The commission of the salesmen with the given ratio will be $175".
For more information about ratios and proportions,
brainly.com/question/26974513
#SPJ2
Anton's mechanic charged $75 for a radiator and $50 per hour for labor. The total cost to install the radiator was $325. Approximately how long did it take the mechanic to install the radiator?
Answer:
5 hours
Step-by-step explanation:
325 - 75 = 250
250 / 50 = 5(hours)
What is 5% of $125.00?
Answer:
118.75 cents
Step-by-step explanation:
First you get 125.00 and multiply it by .05 which is 5 percent in decimal form.
Once you multiply u should get 6.25. Get that 6.25 and subtrcat it with the 125. That leaves u with 118.75
I need help ASAP 14 points! And I will mark you Brainly
What’s 30% off of $220?
Answer:
154
Step-by-step explanation:
220 x .70 = 154
Answer:
$154 please give me brainliest it would mean the world to me
Step-by-step explanation:
PLSSSSSSSSSSSSS HELP Im stupid and need help
The left side of an equation is shown. Write an expression for the right side of the equation so that the resulting equation has infinite solutions.
2(x + 5) + 8 = ____________
Answer:
Answer is 2x+18
Step-by-step explanation:
2x+10+8
2x+18
what is the percent decrease from 8.6 to 7.9
Answer:
= 8.13953% decrease
Answer:
7% i believe :)!
Step-by-step explanation:
These two lines are parallel Write an equation for each line
The equation of the parallel lines will be y = 0.8x and y = 0.8x - 3.2.
What is the equation of a parallel line?Let the equation of the line be ax + by + c = 0. Then the equation of the parallel line that is parallel to the line ax + by + c = 0 is given as ax + by + d = 0.
The intercepts of the line are (0, -3.2) and (4, 0). Then the equation of the line is given as,
y + 3.2 = [(0 + 3.2) / (4 - 0)](x - 0)
y = 0.8x - 3.2
The equation of the other parallel line that passes through the origin will be given as,
y = 0.8x
The equation of the parallel lines will be y = 0.8x and y = 0.8x - 3.2.
More about the equation of a parallel line link is given below.
https://brainly.com/question/402319
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(3x - 7) - (4x – 8) = -(10x - 6) 3
Answer:
im not sure if the 3 is an exponent. But if it is, your answer is 0.52180067
I’m giving brainiest to whoever answer first and correct HURRYY and don’t just guess cause I’m going to know
Answer:
II and III(ie.rectangle and square)
I am not quite sure about this ans.
Can somebody tell me the answer??
Answer:
−
2
x
+
2
y
=
8
The slope-intercept form is
y
=
m
x
+
b
, where
m
is the slope and
b
is the y-intercept.
y
=
m
x
+
b
Rewrite in slope-intercept form.
Tap for more steps...
y
=
x
+
4
Step-by-step explanation:
what’s 384.94 + 17.348
Answer:
402.288
Step-by-step explanation:
Hope this helps
can i have brainliest
In AABC, the measure of ZC=90°, the measure of ZA=47°, and BC = 3.5 feet. Find
the length of AB to the nearest tenth of a foot.
Answer: 4.8 feet
Step-by-step explanation:
what is the slope of the line passing through the points (0,-4) and (-3, 2)
kate ate 1 apples theres 1 apple originally how many apples she got now.
Answer:she doesn’t have any 0-0
Step-by-step explanation:
Write an equation in slope-intercept
form through (-8,9) through (-6,-6).
Answer:
A
Step-by-step explanation:
Answer:
Answer B
Step-by-step explanation:
A pie crust recipe calls for two cups of butter for each three cups of flour. Elliiette is making enough crusts to use up eight cups of flour how many cups of butter wills she meed
Answer:
12 cups
Step-by-step explanation:
The figure is a parallelogram. m
Answer:
10
Step-by-step explanation:
a 4 side polygon has 360° interior angle
120 +120=240
360-240=120
120÷2=60
60÷6=10
(-1, 7) and (2, -2) find the slope between each pair of points
Answer:
-9/3 or -3
Step-by-step explanation:
To the nearest 0.1 ounce, a package of oatmeal weighs 13.0 ounces. What is the LEAST amount the package can actually weigh?
226 divide by 10^0.
Answer:
0
Step-by-step explanation:
10 to the power of 0, is equivalent to 0. Since their is no given value, it is saying "226÷0" which equals 0.
9(2m + 5n + 10) =
A) 18m - 45n - 90
B) 18m + 45n + 90
C) 18m + 5n + 90
D) 18m + 5n + 10
Answer:
B
Step-by-step explanation:
9 multiple 2m = 18m
9 multiple 5n = 45n
9 multiple 10= 90
Answer:
B
Step-by-step explanation:
9×2m=18m
9×5n=45n
9×10=90
so,our answer is 18m+45n+90
Helpppppppp please helppppp I’ll give Brainliest
Answer: B
Step-by-step explanation:
Toni and Nicky each earn a weekly salary
plus commission selling eyeglass frames.
Toni earns a weekly salary of $800 plus a
7%(800+0.07x) commission on her
weekly sales. Nicky earns a weekly salary
of $600 plus a 9%(600+0.09x)
commission on her weekly sales. How
much would their weekly(x) sales have to
be to result in Toni and Nicky earning the
same amount for the week?
Answer:
10,000
Step-by-step explanation:
800 + .07x = 600 + .09x
200 = .02x
10000 = x
Which list shows the values in order from least to greatest?
A: |-5|, |-3|, |3|, 5
B: |-5|, 5, |-3|, 3
C: -3, -|-5|, -|3|, 5
D: -5, -|-3|, 3, |-5|
Answer: d
Step-by-step explanation:
A, 5, 3, 3, 5
B, 5,5,3,3
C, -3, -5, -3, 5
D, -5, -3, 3, 5
The record low for Florida is 2 degrees below zero Fahrenheit and was set on February 13, 1899. The record high is 109 degrees Fahrenheit and was set on June 29, 1931. Which pair of numbers shows these temperatures, in degrees Fahrenheit, written as integers?
2 and 109
2 and -109
-2 and -109
Answer:
-2 and 109
Step-by-step explanation:
just put that
Answer 2 and -109
Step-by-step explanation:
I did the test
