Hey again!
The solution to the given system is (0, -10)
To solve using elimination, we have to add the equations together, and the "y"s will cancel out, and then solve the equations:
5x - 10 = 6x - 10
Now solve.
Add "10" to both sides:
5x = 6x
Subtract "5x" from both sides
0 = x
Now, we plug in the solved "x" value in an equation to solve for "y".
5(0) + y = -10
y = -10
We now know that the solution to the given system is (0, -10)
Hope this helps! Have an amazing day, and remember, you've got this!!
The solution to the given system of linear equations is (0, -10) which is determined by the elimination method.
What is the Linear equation?A linear equation is defined as an equation in which the highest power of the variable is always one.
The system of linear equations is given in the question:
-y - 10 = 6x ....(i)
5x +y = -10 ....(ii)
To solve using elimination, we have to add the equations (i) and (ii) together, and the "y" will be eliminated, and then solve the equations:
⇒ 5x - 10 = 6x - 10
Add "10" to both sides of the above equation
⇒ 5x = 6x
Subtract "5x" from both sides
⇒ 0 = x
⇒ x = 0
Now, substitute the value of x = 0 in equation (ii) to solve for "y".
⇒ 5(0) + y = -10
⇒ y = -10
Therefore, the solution to the given system of linear equations is (0, -10).
Learn more about the Linear equations here:
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A company makes Poppy Lapel Pins.
Each of them costs £1.10 to make.
In October it made 1000 lapel pins.
35% of them are given to charities.
The rest are sold in two formats: 60% of them at £3.00 each
40% of them at £5.00 for 2
Assuming that all the lapel pins will be sold by the end of November,
work out the percentage profit the company should make.
Give your answer to 1 decimal place.
Answer:
1000 less 35% == 650
so 250 given to charity
total cost making the pins was 1000x 1.10 = 1100
so you need to find 60 percent of 650 =390
and 40 percent of 650 = 260
so then you need to find the cost 390 x 3 pounds each so × this and gives you 1170 cost sold for intotal
Then you have 260 ÷2 = 130 x 5 = 650
so you have 650+1170 = 1820 - 1100 cost to make =720 pounds
think this right
Tickets to a play cost $4 in advance and $5 at the door. The theater club president wants to raise at least $400 from the ticket sales. If the club sells 40 tickets in advance, what is the least number of tickets the club needs to sell at the door to reach the president’s goal?
Least number of tickets =
Answer:
x≥48
Step-by-step explanation:
4×40 = 160
400-160 = 240
240÷5 = 48
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!JJ
Answer:
its
Step-by-step explanation:
i cant explane
Clean123 Inc. performs 1,000 of cleaning services for a customer. After 30 days the computer pays 50% of the invoice with a check. How will this transaction be recorded
did you get ittttt???
please help me out
write the first four terms of the arithmetic sequence given a1=-3 and d=-2
(2x - 5), (2 +30), and (2x – 5)
Solve for x
A computer store buys a computer system at a cost of $487.20. The selling price was first at $812, but
then the store advertised a 30% markdown on the system. Answer parts a and b.
a. Find the current sale price.
The sale price is $0
Round to the nearest cent as needed.)
NEEED HELP ASAP
Answer: a. The sales price $568.40
b.the price for the club members is $511.56
Step-by-step explanation: I have no idea I got it wrong on porpoise to get the correct answer for u
Given g(x)=30-6x, find g(-4)=____?
Answer:
g(-4)=54
Step-by-step explanation:
g(-4)=30-6(-4)
g(-4)=30+24
g(-4)=54
Please help me lol!!!!!!
Answer:
A
Step-by-step explanation:
help me out with this so confused
Answer:
The answer is 3.
Step-by-step explanation:
A rational number means the number can be written as a fraction of two integers. [tex]5\sqrt{9}[/tex]=5*3=15, so it is the only rational number. The other answers cannot be written as a fraction of two integers.
What are the solutions to 3n-1> 8 or 4n+3 < -1 ?
how would you write it in interval notation?
HELP ASAPPP PLZZZ
Step-by-step explanation:
3n - 1 > 8 or 4n + 3 < -1
3n > 9 or 4n < -4
n > 3 or n < -1
Solution set: (-∞, -1) U (3, ∞).
If you could help I would really appreciate it, but if not that’s fine. Thank you.
If m<FCB = 84°, then what is m<MCA?
HELLLPPP PLSSSSS(don’t answer if you aren’t serious this is important)
9514 1404 393
Answer:
∠Q ≅ ∠U∠Q ≅ ∠U'∠S ≅ ∠VStep-by-step explanation:
The following angles are equivalent:
Q = U = 45°
R = T = W = 225°
S = V = 90°
X = 135°
Reflection, any rigid transformation, or any uniform dilation will not change the measures of the angles. That is, U = U', for example.
So, the true angle statements are ...
∠Q ≅ ∠U∠Q ≅ ∠U'∠S ≅ ∠VRefer to the diagram shown.
Answer:
60º
Step-by-step explanation:
Find volume and surface area
The plastic cylinder has a diameter of 2 cm. There is a rectangular 0.6 cm square prism through the middle of the cylinder, extending from the top to the bottom. The height of the cylinder is 6 cm. Find the volume of the cylinder without the prism.
Answer:
The volume of the cylinder without the prism is approximately 16.690 cubic centimeters.
Step-by-step explanation:
The volume of the cylinder without the prism can be defined as the volume of the entire cylinder ([tex]V_{cy}[/tex]), measured in cubic centimeters, minus the volume of the prism ([tex]V_{pr}[/tex]), measured in cubic centimeters. That is:
[tex]V = V_{cy}-V_{pr }[/tex] (1)
[tex]V = \frac{\pi}{4}\cdot D^{2}\cdot h - l^{2}\cdot h[/tex]
[tex]V = \left(\frac{\pi}{4}\cdot D^{2}-l^{2} \right)\cdot h[/tex] (2)
Where:
[tex]D[/tex] - Diameter of the cylinder, measured in centimeters.
[tex]l[/tex] - Side of the square prism, measured in centimeters.
[tex]h[/tex] - Height of the square prism, measured in centimeters.
If we know that [tex]D = 2\,cm[/tex], [tex]l = 0.6\,cm[/tex] and [tex]h = 6\,cm[/tex], then the volume of the cylinder without the prism is:
[tex]V = \left[\frac{\pi}{4}\cdot (2\,cm)^{2}-(0.6\,cm)^{2} \right]\cdot (6\,cm)[/tex]
[tex]V \approx 16.690\,cm^{3}[/tex]
The volume of the cylinder without the prism is approximately 16.690 cubic centimeters.
3n - 2n- 6h + 9
Pls help ASAP
Answer:
n-6h+9
first you subtract the ns from each other because those are the only like terms
What is the value of the expression 3x2 – 2y, if x - -2 and y = -4. 0 20 52 O-8 02
Answer:
I think the answer is 20....I'm so sorry if that is wrong :[
The given expression at {x} = - 2 and {y} = -4 evaluates to 20.
What is function?A function is a relation between a dependent and independent variable. We can write the examples of functions as -
y = f(x) = ax + b
y = f(x, y, z) = ax + by + cz
Given is the expression -
3x² - 2y
The given equation is -
3x² - 2y
For {x} = - 2 and {y} = -4, we can evaluate the expression as -
3(-2)² - 2(-4)
3 x - 2 x - 2 - 2 x - 4
3 x 4 + 8
20
Therefore, the given expression at {x} = - 2 and {y} = -4 evaluates to 20.
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1. Find the volume of the cylinder. (no units-round to nearest tenth
7 km
8 km
Answer:
1407.43 would be your answer
Step-by-step explanation:
The formula is [tex]\pi r^2h[/tex], so plug 8 and 7 into the equation, and you'll get your answer. Hope this helps :)
– 7y = 7x + 21
Please I need these two question answered fasttttt, I need to get the slope and y-intercept for both these problems.
Answer:
slope=-1
y-intercept=-3
Step-by-step explanation:
if you solve the equation, it equals y = -x-3 since you divide -7 from both sides
y = 2x - 1
y=-3x + 4
Solve the following system of equations for x
Answer:
x = 1
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of EqualityAlgebra I
Solving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define Systems
y = 2x - 1
y = -3x + 4
Step 2: Solve for x
Substitution
Substitute in y: 2x - 1 = -3x + 4Add 3x on both sides: 5x - 1 = 4Add 1 to both sides: 5x = 5Divide 5 on both sides: x = 1Answer:
[tex]y = 2x - 1 \: and \: y = - 3x + 4 \\replacing \: the \: value \: of \: y, \: we \: get \\ 2x - 1 = - 3x + 4 \\ 5x = 5 \\ \boxed{x = 1}[/tex]
x= 1 is the right answer.By leading figure estimation, approximate the value of 5 850÷22
The number 12 is divisible by... select all that apply.
15 points
2
3
4
5
6
9
10
Answer:
2, 3, 4, 6
Step-by-step explanation:
Answer:
2,3,4,6
Step-by-step explanation
12 divided by 2 is 6
12 divided by 3 is 4
12 divided by 4 is 3
12 divided by 6 is 2
Which is 42.364 written with words?
Kim drives 156 miles from rotherman to London she drives the average speed of 60 miles per hour
Answer:
2 hours and 36 minutes
Step-by-step explanation:
156/60 hours=2.6 hours. i.e. it takes her 2 hours and 36 minutes to reach from Rotherham to London
.......... .. ........ I..
Julien is baking cookies with his mother.
The recipe calls for:
1 ½ cups of flour
2 ⅔ cups of oatmeal
3 ¼ cups of chocolate chips
1 cup of sugar
½ cup of brown sugar
The only measuring cups that Julien can find are ⅛ cup and ⅓ cup. How will he make the cookies?
Answer:
well quite easily just doing the math
Step-by-step explanation:
Ta -Da
1 1/2 cups of flour = 12/8 cups of flour
2 2/3 cups of oatmeal = 2 2/3 cups of oatmeal
1 cup sugar = 3/3 or 8/8 cups of sugar
1/2 cup of brown sugar = 4/8 cups of brown sugar
Pedro drives the same route to work on Monday through Friday. His route includes one traffic light. According to the local traffic department, there is a 55% chance that the light will be red when he arrives at the intersection on a randomly selected workday. Suppose we choose 10 of Pedro's workdays at random and let Y = the number of times that the light is red.
Answer:
6 days
Step-by-step explanation:
Given
The proportion can be represented as:
[tex]p = 55\%[/tex]
And the number of days can be represented as:
[tex]n = 10[/tex]
Required
Determine the expected number of times, the light is red
To do this, we simply multiply the proportion by the number of days:
[tex]Y = n * p[/tex]
Substitute values for n and p
[tex]Y = 10 * 55\%[/tex]
Convert percentage to decimal
[tex]Y = 10 * 0.55[/tex]
[tex]Y = 5.5[/tex]
Approximate
[tex]Y = 6[/tex]
Hence, the expected number of days is 6 days
How do you do this?
Answer:
132 degrees
Step-by-step explanation:
its asking for angle r, right? the degrees they give you is across from the needed angle. in class alone that would give you the answer, but since a line is 180 degrees, 180 minus 132 is 48 degrees, 48 plus a unknown angle(r) is 180. hence 132