Solve the following system of linear equations by addition. Indicate whether the given system of linear equations has one solution, hasno solution, or has an infinite number of solutions. If the system has one solution, find the solution.| 0.6x +0.2y = 4.6{ =
Answers
Answer: ( -8, 47 )
Given:
\(\begin{cases}0.6x+0.2y=4.6 \\ 1.5x+0.3y=2.1\end{cases}\)First, let us multiply equation 1 by 3, and equation 2 by -2. We will now get:
\(\begin{cases}1.8x+0.6y=13.8 \\ -3x-0.6y=-4.2\end{cases}\)Add the two equations and we will get:
\(-1.2x=9.6\)*Divide both sides by -1.2
\(x=\frac{9.6}{-1.2}=-8\)Now, going back to the equations, we can choose any of the two to find the value of y.
Using equation 1:
\(0.6x+0.2y=4.6\)\(0.6(-8)+0.2y=4.6\)\(0.2y=4.6+4.8\)\(0.2y=9.4\)*Divide both sides by 0.2
\(y=\frac{9.4}{0.2}=47\)Therefore, the solution to this system of equation is ( -8, 47 )
Related Questions
Which point is located at (3, 7)?
Answers
Answer:
B
Step-by-step explanation:
A local Hamburger shop sold a combined total of 553 hamburgers and cheeseburgers on Saturday. They were 53 more cheeseburgers sold and hamburgers. How many hamburgers were sold on Sunday?
Answers
Answer:
250 hamburgers were sold on Sunday
Step-by-step explanation:
Let there are x hamburgers and y cheeseburgers sold on Sunday.
ATQ,
x + y = 553 .....(1)
There were 53 more cheeseburgers sold than hamburgers.
y = 53 + x ....(2)
Put the value of y from equation (2) in equation (1).
x + (53 + x) = 553
2x+53 = 553
2x = 500
x = 250
Put the value of x in equation (2).
y = 53 + 250
y = 303
Hence, 250 hamburgers were sold on Sunday
A piece of wood is in the shape of a rectangular prism with a length of 10 inches, a width of 4 inches, and a height of 5 inches. You cut the wood in half to form two pieces of wood, each with a length of 5 inches. What is the percent increase in the total surface area? Round your answer to the nearest hundredth, if necessary. %
Answers
Answer: 18.18%
Step-by-step explanation:
First, let's calculate the surface area of the original piece of wood. The surface area (SA) of a rectangular prism is given by the formula:
\($$SA = 2lw + 2lh + 2wh$$\)
where \(\(l\)\) is the length, \(\(l\)\) is the width, and \(\(h\)\) is the height. For the original piece of wood, \(\(l = 10\) inches\), \(\(w = 4\) inches\), and \(\(h = 5\) inches\).
After the piece of wood is cut in half, the length becomes 5 inches, but the width and height remain the same. So, for each of the two new pieces of wood, \(\(l = 5\) inches\), \(\(w = 4\) inches\), and \(\(h = 5\) inches\). The total surface area of the two new pieces of wood is twice the surface area of one of the new pieces.
The percent increase in the total surface area is given by the formula:
\($$\text{Percent Increase} = \frac{\text{New Total SA} - \text{Original SA}}{\text{Original SA}} \times 100\%$$\)
Let's calculate these values.
The percent increase in the total surface area when the piece of wood is cut in half is approximately 18.18%.
Given the function f(x) =x^2-4x-2, determine the average rate of change of the function over the interval -1 ≤x ≤8
Answers
Answer:
The average rate of change of change over the interval is 3.
Step-by-step explanation:
Given/Known:
( f(b) - f(a) ) / (b - a)
b = 8
a = -1
Solve:
( ((8)^2-4(8)-2) - ((-1)^2-4(-1)-2) ) / (8 - (-1))
(30 - 3)/(9)
27/9
3
The average rate of change is 3.
Will mark brainly
and worth a lot of points but actually answer plz
Solve the system of equations and choose the correct answer from the list of options.
d + e = 1
−d + e = −5
Label the ordered pair as (d, e). (4 points)
Question 3 options:
1)
(0, 0)
2)
(3, −2)
3)
(−2, 3)
4)
(−3, 0)
Answers
Answer:
3) is the answer
d + e = 1 x 1
- d + e = -5 x 1
d. + e = 1
-
-d. + e = -5
2d= 6
d = 3
e= 1-3
= -2
Which of the following shows the factored form of x2 + 7x – 8?
Answers
Answer:
Step-by-step explanation:
Go to algebra calculator it will show the answer.
Answer:
(x-1) (x+8)
Step-by-step explanation:
If you factor this question out correctly, you would get the answer above.
If m23 = 111, what is mZ14?
10
9
2
1
>
11
12
3
4
14 13
6
5
15 16
8
7
(not drawn to scale)
A 69
B 111
Answers
Answer:
a will be the correct answer plzz tick that and win 1 lakh
The temperature on Thursday afternoon was 77 °F. A thunderstorm rolled through, and the temperature dropped by 10 °C. What was the temperature after the storm?
Answers
Answer:
15 °C
Step-by-step explanation:
°C = (°F - 32) * (5/9)
Given that the initial temperature was 77 °F and it dropped by 10 °C, we can calculate the final temperature.
Initial temperature: 77 °F
Converting to Celsius:
°C = (77 - 32) * (5/9)
°C ≈ 25
The temperature dropped by 10 °C, so the final temperature is:
Final temperature = Initial temperature - Temperature drop
Final temperature ≈ 25 - 10 = 15 °C
Therefore, the temperature after the storm was approximately 15 °C.
Identify the LCM for 6 and 24.
48
144
6
24
Answers
Answer:
24
Step-by-step explanation:
6 * 4= 24
1 * 24 = 24
Answer:
The answer is 24
Step-by-step explanation
6*4 = 24
Can someone answer these
Answers
Answer:
1) 3.401244 ft^3
2) 708.75
Step-by-step explanation:
1) take the cube root of the volume (gets you one side of the cube), divide it by 100, then cube that.
2) square the scale factor (3/4), and multiply the area by that number.
A motor oil retailer needs to fill 40 one quart bottles, and he has two tanks: one that contains 12 gallons of oil and one that contains 2 gallons of oil. Which will he need to fill the bottles?
Answers
Answer:12 gallons
Step-by-step explanation: It is enough to fill 40
The number of gallons in 40 quarts will be 10 gallons. Then the one that contains 12 gallons of oil.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
Unit modification is the process of converting the measurement of a given amount between various units, often by multiplicative constants that alter the value of the calculated quantity without altering its impacts.
A motor oil retailer needs to fill 40 one-quart bottles.
We know that in 1 gallon, there are 4 quarts. Then the number of gallons in 40 quarts will be given as,
⇒ 40 / 4
⇒ 10 gallons
The number of gallons in 40 quarts will be 10 gallons. Then the one that contains 12 gallons of oil.
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Determine the period of the function y = Negative 2 sine (StartFraction pi Over 2 EndFraction) x.
a.
2
c.
-2
b.
3.14
d.
4
Answers
Answer: D. 4
Step-by-step explanation:
50 Points! Algebra question, multiple choice. Which quadratic inequality is graphed the right? Photo attached. Thank you!
Answers
Answer:
I think it is c
Answer:
C
Step-by-step explanation:
help
I need an answer
Answers
The correct option that indicates the quadrant that contains the translation of the shaded figure is the option B
B. III
What is a translation transformation?A translation is a transformation in which the size, relative position of the points on the pre-image, are preserved but the location of the pre-image changes to obtain the image.
The shape of the shaded figure is an L-shape
The geometric figure in quadrant II and IV are a reflection of the shaded figure, across the y-axis and across the x-axis, respectively which is not a translation transformation.
The geometric figure in quadrant III can be obtained from the shaded figure by a translation 4 units to the left and 5 units downwards, which can be expressed as <-4, -5>, which is a translation transformation, therefore;
The quadrant that contains a translation of the shaded figure is the quadrant IIILearn more on translation transformation here: https://brainly.com/question/11134096
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Given the following, determine the set (B n C)'.
U= {x|x EN and x < 10}
B = {x|x EN and x is even and x< 10}
C = {x|x E N and x < 10}
Answers
Answer:
Step-by-step explanation:
U={x|x∈N and x<10}
or U={1,2,3,4,5,6,7,8,9}
B={x|x∈N and x is even and x<10}
or
B={2,4,6,8}
C={x|x∈N and x<10}
or
C={1,2,3,4,5,6,7,8,9}
(B∩C)={2,4,6,8}
(B∩C)'={1,3,5,7,9}
How would the break-even period in this scenario change if you lived in another state? Research another state’s minimum coverage requirement and calculate the break-even period you calculated above for that state’s minimum coverage requirements. Assume that all other variables (premium, deductible, etc.) are the same. Specify the state you researched and its minimum coverage requirements in your answer.
Answers
The break-even point refers to the amount of revenue necessary to cover the total fixed and variable expenses incurred by a company.
What is meant by break-even period?In business accounting, the break-even point refers to the amount of revenue necessary to cover the total fixed and variable expenses incurred by a company within a specified time period.
To calculate the break-even point in units use the formula:
Break-Even point (units) = Fixed Costs ÷ (Sales price per unit – Variable costs per unit) or in sales dollars using the formula: Break-Even point (sales dollars) = Fixed Costs ÷ Contribution Margin.
Insurance Requirements the part of a commercial contract in which the types and minimum amounts of insurance the parties agree to provide in connection with their performance of the contract are specified.
A break even point is used in multiple areas of business and finance. In accounting terms, it refers to the production level at which total production revenue equals total production costs. In investing, the break even point is the point at which the original cost equals the market price.
Therefore, the break-even point refers to the amount of revenue necessary to cover the total fixed and variable expenses incurred by a company.
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if 2n-1/4=0 what is the value of n
Answers
Answer:
n = 1/8
Step-by-step explanation:
2n-1/4=0
Add 1/4 to each side
2n-1/4+1/4=1/4
2n = 1/4
Divide each side by 2
2n/2 = 1/4 * 1/2
n = 1/8
Which unit of measure is the most reasonable to use to estimate the weight of a newborn baby?
Select one:
A. tons
B. ounces
C. pounds
D. None of these
Answers
Answer:
C.
Step-by-step explanation:
I think it is C. because tons are way too much (there are 32,000 ounces in a ton) and there are only 16 ounces in a pound. An average baby is about 17.5 pounds at birth, or 17 pounds and 8 ounces.
hope this helped!
Help? Can someone explain this please
Slope is 1 and (-2, -1) is on the line.
Answers
Answer:
You can’t find the slope of a line if only given one point. If you had a visual representation of the line such as a graph or a table you could find a second point and then use the formula for slope, y = (y2-y1) / (x2-x1).
Imagine a single point on the xy graph. You could take a random point elsewhere from an infinite number of points and would be able to draw a line and find the slope. This means there could be an infinite number of different slopes for one point. One point on an unknown line is not enough information to determine the slope of its line without a graph or a table.
4
Select the correct answer from each drop-down menu.
A circle is rotated around a vertical axis. The circle does not intersect the axis.
Complete the following statement.
The three-dimensional shape resulting from the rotation is a
with a
center.
Answers
If the circle is rotated about the vertical axis then it forms the shape of a sphere with the same center.
What is Geometry?It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
A circle is rotated around a vertical axis. The circle does not intersect the axis.
The three-dimensional shape resulting from the rotation will be
If the circle is rotated about the vertical axis then it forms the shape of a sphere with the same center.
More about the geometry link is given below.
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A depositor puts $30,000 in a savings account that pays 4% annual nominal interest, compunded quarterly. Equal annual withdrawals are to be made from the account, beginning one year from now and continuing forever. What is the maximum annual withdrawal?
Answers
1218.12 is the maximum annual withdrawal by compound interest.
What is compound interest?
You get interest based on the amount you deposit when you add money to a savings account or other account of a similar nature. For instance, if you deposit $1,000 in an account that offers 1% yearly interest, after a year you would have received $10 in interest.In our case first we need to find effective annual interest rate so that we can determine the value of withdrawal that can be made effective annual interest rate = ( 1 + r/n)ⁿ - 1
where r is nominal rate and n are number of compounding periods in a year
r =4% or 0.4
n = 4
effective = ( 1 + 0.04/4)⁴ - 1
= 0.040604 ≈ 4.0604% per year
now
maximum withdrawal that can be made each year
= principal × interest
= 30000 × 0.040604
= 1218.12
Learn more about compound interest
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Anton joined a golf club. He pays an annual membership fee of $895 and greens fee of $30 each time he plays golf. Last year he paid $2,065 as a total golfing fee. How many games did he play? Write and solve the equation.
Answers
Answer: f(g) = 895 + 30g
-----------------------------------------------------------------
He paid $2065. Number of games he played:
-----------------------------------------------------------------
2065 = 895 + 30g
30g = 2065 - 895
30g = 1170
g = 39
-----------------------------------------------------------------
Answer: He played 39 games.
Step-by-step explanation:
Number of games anton played is 39; the equation is 2065 = 895 + 30G
How to find the system of equations needed to solve an equation?An equation usually consists of equality of two mathematical expressions. Let it be
A = B
. If we take them to be equal to third variable, then:
A = B = C
type of equation is obtained.
We can then take it as system of two equations as:
A = C\\ B=C
Solution to this system will give us the solution to the considered equation.
Solution to an equation is finding values of the variable included in the considered equation for which the equation considered evaluates to be true.
The equation will be f(g) = 895 + 30G
Amount anton paid = $2065.
Number of games he played;
2065 = 895 + 30G
30g = 2065 - 895
30g = 1170
G = 39.
Therefore, the solution of the equation os 39
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how old was Lisa x years ago if she is now 13 which expression represents the
Answers
Answer:
13 - x
Step-by-step explanation:
X = Years
Current Age = 13
Lisa's Age = 13 - x
Tập nghiệm của phương trình 2^x=-1 là
Answers
Step-by-step explanation:
Tập nghiệm của \(2^x=-1\) là tập rỗng nha bạn. Vì 2 là số dương nên mũ mấy cũng dương hết.
What is
(1/10) - (1/5) =
Answers
you have to get the bottom number the same so you multiply by 2 by 1/5. and that’ll get you 2/10. and then you subtract 1/10-1/5
-1/10.
Step-by-step explanation:1. Make the fractions have the same denominator.We want to make the fractions have the same denominator by multiplying both the numerator and denominator of one of the fractions for a number that makes the denominator be the same as the other fraction. For example, if we multiply the numerator and denomimator of the second fraction by 2, we'll make it have the same denominator as fraction 1, so let's go ahead and do just that.
\(\frac{1*2}{5*2}=\frac{2}{10}\)
2.Apply the substraction.Now that the fractions have the same denominator, make the substraction like this:
\(\frac{1}{10} -\frac{2}{10}=\frac{1-2}{10}=-\frac{1}{10}\)
3. Express your result.
(1/10) - (1/5) = -1/10.
Round 170% to the nearest one.
Answers
Answer:
170
Step-by-step explanation:
Solve the system of linear equations using substitution. Use a pencil and paper. Which expression would be easier to substitute into the other equation, in order to solve this problem? Explain your reasoning.
x=4y-9
x+4y=3
Answers
Answer:
(- 3, 1.5)
--------------------------
Given system:
x = 4y - 9x + 4y = 3The first expression is ready to be substituted as no further operation is required to simplify it.
4y - 9 + 4y = 38y - 9 = 38y = 12y = 12/8y = 1.5Find x:
x = 4*1.5 - 9x = 6 - 9x = - 35 people attended the volleyball team's fundraiser in all, but the team made only 100 pancakes. Use the drop-down menus to complete the inequality that can be used to find how many more pancakes the team needs to make so that every person can have at least 3 pancakes.
Answers
NO LINKS PLEASE and make sure it's correct
Answers
Answer:
Communitative Property
Step-by-step explanation:
:P
Solve 3(xx)+x-5 using the first principle
Answers
Answer:
\(3x^2+x-5\)
Step-by-step explanation:
\(3\left(xx\right)+x-5\)
Remove parenthesis
\(3xx+x-5\)
Multiply \(x \times x=x^2\)
\(3x^2+x-5\)
Answer:
3x²+x-5
Step-by-step explanation:
= 3(xx)+x-5
According to the rule, when bases are same powers are to be added.
= 3(x¹x¹)+x-5
= 3(x¹⁺¹)+x-5
= 3x²+x-5