What is the value of x in the solution to this system of linear equations? 4x - 3y = 3
Answers
x-y=2
Multiply the bottom equation by -3
4x-3y=3
-3x+3y=-6
Add the two equations together
The y’s cancel each other out
So your left with:
X=-3
The value of x is -3
Related Questions
how do I find the volume of a square polyhedron
Answers
First, find the volume. For a square polyhedron, the formula for the volume is the following:
Volume=length×width×height
Hope this helps.
First, find the volume of the pool. For a rectangular prism, the formula for the volume is the following:
Volume=length×width×height
divide the total volume by 5 to find how long it will take for the pool to fill.
Havce a nice day
The sum of 6 times a position number and 1 is the same as the sauare of 1 less than the number
Answers
6x+1= (x-1)^2
Now we just need to simplify it
6x+1=(x-1)*(x-1)
6x+1=x^2-2x+1
8x=x^2
8=x
The number is 8.
To check the answer
6*8+1=7^2
49=49
correct :)
What is the slope of this line?
Answers
Well use the two points: (-2,0) , (0,-2)
Slope = (-2 - 0) / (0 - -2)
Slope = (-2) / (2)
Slope = -1
A factory makes 12 bottles every 2 minutes. The factory makes bottles for 8 hours each work day. Enter a whole number to represent the fewest number of work days the factory will need to make 28,000 bottles.
Answers
It will take 15 days to manufacture 28000 bottles.
We have a factory makes 12 bottles every 2 minutes and makes bottles for 8 hours each work day.
We have to determine the number of days it will take to make 28000 bottles.
What is Unitary Method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
According to question, we have -
Number of bottles manufactured in 2 minutes = 12.
In 8 hours = 8 x 60 = 480 minutes = 2 x 240 minutes.
Number of bottles manufactured in 1 day = 8 x 240 = 1920 bottles.
Number of days needed to make 28000 bottles = 14.58 = 15 days.
Hence, it will take 15 days to manufacture 28000 bottles.
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Diego has a large box that is 4 feet high, 3 feet wide, and 5 feet long. Can he fit 65 smaller boxes that each have a volume of 1 cubic foot in the large box?
Answers
Volume of a cube = 1 ft³
Total number of cubes = 1 x 65 = 65 ft³
Answer: No, Diego cannot fit 65 smaller cubes into the large box. There will be 5 cubes that cannot be put in,
No, Diego cannot fit 65 smaller cubes into the large box. There will be 5 cubes that cannot be put in.
What is volume?Volume in math is the amount of three-dimensional space occupied by an object, substance, or closed surface. Volume can be measured by multiplying the length, width, and height of an object or by counting the number of unit cubes it contains.
Given that, Diego has a large box that is 4 feet high, 3 feet wide, and 5 feet long, we need to determine whether he can fit 65 smaller boxes that each have a volume of 1 cubic foot in the large box,
For determining the same, we will find both volume and compare,
Volume of the large box = 4 x 3 x 5 = 60 ft³
Volume of a cube = 1 ft³
Total number of cubes = 1 x 65 = 65 ft³
Since, both the volumes are equal,
Therefore,
He cannot fit 65 smaller cubes into the large box, as he will be left with 5 boxes out of the box.
Hence, Diego can not put 65 boxes in the larger one.
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hurry!! A company produces 4.56x10³ light bulbs each week. Written in scientific notation, which is the best estimate of how many light bulbs the company will make in 9.36x10² weeks?
4.5x10¹ light bulbs
1.4x10⁵ light bulbs
4.5x10⁶ light bulbs
45x10⁶ light bulbs
Answers
The actual answer is 4.26x10^6. multiply 4.56 and9.36 to get 42.6816 add the exponents of the 10^3 and 10^2 for 10^5 move the decimal 1 place to the left to get 4.26x10^6
Answer:[tex]4.5\times10^6[/tex] light bulbs
Step-by-step explanation:
Given : The number of bulbs produced by company in 1 week=[tex]4.56\times10^3[/tex] lights
Then the number of bulbs produced by company in [tex]9.36\times10^2[/tex] weeks is given by :-
[tex]4.56\times10^3\times9.36\times10^2\\\\=4.56\times9.36\times10^{3+2}\\\\=42.6816\times10^5\approx45\times10^5....\text{[To the nearest 5s]}\\\\=4.5\times10^6[/tex]light bulbs
Hence, the number of bulbs produced by company in [tex]9.36\times10^2[/tex] weeks=[tex]4.5\times10^6[/tex] light bulbs
A recycling bin in the The shape of a rectangular prism has a volume of 9720 cubic inches. The base area is 324 square inches, what is the height of the recycling bin?
Answers
What is the slope of a line parallel to the line whose equation is 3x - 4y = 8?
A. -4/3
B. -3/4
C. 3/4
D. 4/3
Answers
4y = 3x - 8
y = 3/4 x - 2 ; slope = 3/4
parallel lines have same slope
so answer is C. 3/4
The slope of a line parallel to the line with the equation 3x - 4y = 8 is 3/4, which is option C.
To find the slope of a line parallel to the given line, first, we need to write the equation of the given line in slope-intercept form, which is y = mx + b, where m is the slope, and b is the y-intercept. Starting with the equation 3x - 4y = 8, we rearrange it to solve for y:
3x - 4y = 8
-4y = -3x + 8
y = (3/4)x - 2
The slope of the original line is therefore 3/4. Lines that are parallel to each other have the same slope. Therefore, the slope of a line parallel to the given line is also 3/4, which is option C.
Really, really easy!
I know I should have figured it out, but:
Pictures from a company cost 650mb each, and songs cost 2200mb each. 16 files are downloaded in a single day, and the total mb from files downloaded adds up to 18150 mb, how many of each product was installed? Write two possible equations using p for pictures and s for songs.
Answers
The second equation would be p + s =16
This problem is a system of linear equations. The first equation represents the total number of files (pictures and songs) downloaded: p + s = 16. The second equation represents the total size of the downloads in terms of pictures and songs: 650p + 2200s = 18150.
Explanation:This problem is an example of a system of linear equations. In this scenario, we have two types of files - pictures, represented by 'p', and songs, represented by 's'. The cost in megabytes for each is also provided. We can take these details and construct two equations:
Equation 1: The total numbers of pictures and songs downloaded: p + s = 16.
Equation 2: The total size of the downloads: 650p + 2200s = 18150.
You can solve these equations by substitution or elimination method to find the actual numbers of pictures and songs that were downloaded.
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Heart 1 is translated 3 units down to heart 2. Which shows this transformation?
images go to
1 2 3 4
ANSWER ASAP PLEASE I BEG! ILL FAIL! IF NOOOOOT!
Answers
Answer:
Image IV
Step-by-step explanation:
We are given that
Heart 1 is translated 3 units down to heart 2.
We have to find the image which shows this transformation.
The translation rule when a figure is shift 3 units down is given by
[tex](x,y)\rightarrow (x,y-3)[/tex]
The coordinates of a point lie on heart are (-2.5,3)
After translation 3 units, the coordinates of corresponding point which lie on the heart
[tex](-2.5,3)\rightarrow (-2.5,0)[/tex]
Therefore,the heart shift from II quadrant to III quadrant.
Image I is not true because the heart 1 shift to heart 2 in quadrant III not in IV quadrant.
In image II ,the corresponding point of the point (-2.5,3) is (-2.5,-3).
Image II is not true because the corresponding point is (-2.5 ,0) not (-2.5,-3).
Image III is not true because heart 2 should be in quadrant III not in quadrant I after translation 3 units down of heart 1.
Image IV is true because the corresponding point of the point (-2,5,3) is (-2.5,0) and heart 2 lies in quadrant III.
Given: KLMN is a trapezoid, KF =10 MF ║ LK AKLMF = AFMN Find: KN
Answers
The question mixes physical and geometric concepts without a clear relationship or sufficient details to calculate the length of KN in the trapezoid KLMN, making it difficult to provide a step-by-step solution.
Explanation:The question appears to involve various mathematical and physical concepts, most notably relating to trapezoid geometry and principles of force and motion. However, the specific information provided does not directly lead to a clear method for finding the value of KN in a trapezoid given the other conditions mentioned. It mixes principles from physics, particularly force equations, with geometric properties of trapezoids without presenting a typical geometry problem's clear setup or goal.
Normally, to solve for the length of a side in a trapezoid like KN, one would use properties of trapezoids (e.g., parallel sides, angle properties, or potentially the Pythagorean theorem if right angles are involved). However, the information given mixes unrelated physical equations (such as the force equation F = ma and friction models) with geometric figures without presenting a coherent relation between them.
Without additional specific geometric information or a clearer connection between these physical principles and the geometry of trapezoid KLMN, providing a step-by-step solution for finding KN is not feasible. It is advisable to request more specific details or clarification on how these concepts are supposed to interact within the context of the problem.
Which of the following shows of the slope of the line and one point on the line?
A. 6/5 and (-3, 1)
B. 5/6 and (1, -3)
C. 5/6 and (-3, 1)
D. -6/5 and (1, -3)
Answers
This is the only answer choice with a negative slope, so we don't even need to look at the point really. Though if you wanted, you can confirm that the point (1,-3) is on the diagonal line. This point is shown in red in the attached image.
To find that the slope is -6/5, you pick two points on the diagonal line and use the slope formula. Two points you can use are (1,-3) and (-4,3).
The slope formula is m = (y2-y1)/(x2-x1)
Note: The negative slope is because we move downhill as we move from left to right along the diagonal line.
Which is equivalent to 4 square root 9^1/2x? Choices are: A) 9^2x B) 9^1/8x C) square root 9^x D) 6 square root 9^x
Answers
Answer: The correct option is B.
Explanation:
The given expression is,
[tex]\sqrt[4]{9^{\frac{1}{2}}}x[/tex]
Use the property of radical expression [tex]\sqrt[n]{x} =x^{\frac{1}{n} }[/tex].
[tex]\sqrt[4]{9^{\frac{1}{2}}}x=(9^{\frac{1}{2})^{\frac{1}{4}}}x[/tex]
Use the property, [tex](x^m)^n=x^{mn}[/tex]
[tex]\sqrt[4]{9^{\frac{1}{2}}}x=9^{\frac{1}{2\times 4}x[/tex]
[tex]\sqrt[4]{9^{\frac{1}{2}}}x=9^{\frac{1}{8}x[/tex]
Therefore, the correct option is B.
is Jeremy Camp says horse 12 gallons of water each day how many 1 quart pails of water is that
Answers
4 quarts= 1 gallon
= 12 gallons * 4 quarts in 1 gallon
= 48 quarts
ANSWER: He would use 48 quart pails of water per day to give his horse 12 gallons of water.
Hope this helps! :)
Write a^-6 using a positive exponent
Answers
....................
a^-6 as 1/a^6
Subtract the quotient of 18 and 2 from sum of 22 and 9
Answers
18/2 = 9
22 + 9 = 31
31 - 9 = 22
what the answer is and how?
Answers
However the formula to find the area of a circle is A=[tex] \pi [/tex]r²
So to convert the 15 in diameter to a radius you have to do 15÷2,which is equal to 7.5
Now we know that the radius is 7.5.
So what we do now is A=[tex] \pi [/tex]7.5²
Then after we find what 7.5² is we get A=[tex] \pi [/tex]56.25
Then what we do is 3.14×56.25, because pi= 3.14.
So when we do 3.14×56.25, we get 176.625
So the answer is A= 176.6 in²
what are the intercepts of 7x+2y-14z=56
A. (8,0,0) (0,-28,0) (0,0,-4)
B. (8,0,0) (0,28,0) (0,0,-4)
C. (8,0,0) (0,28,0) (0,0,4)
D. (8,0,0) (0,-28,0) (0,0,4)
Answers
1) x-intercept
Where y and z coordinate are zero.
So, we can say
7x + 2(0)-14(0) = 56
So, x = 8 is the x-intercept
2) y-intercept
where x and z coordinate are zero
So, we can write
7(0) + 2y - 14(0) = 56
So, y = 28 is the y-intercept
3) z-intercept
where x and y coordinates are zero
So, we can write
7(0)+2(0)-14z=56
So, z=-4 is the z intercept
Therefore, the correct answer to this question is option B
NEED HELP ASAP!!! Which graph represents the given inequality? 3x -7y < -21
Answers
Short answer: The first graph, A.
Why?
The equation 3x - 7y < -21 is a dotted line that passes through -7 on the axis. Therefore, the correct answer is A.
Hope this helped you! ♥
Answer:
Step-by-step explanation:
Given the inequality
3x —7y <—21
Make y subject of formulae to know the slope and intercept on y axis
—7y < —3x — 21
Divide through by -7, note the inequalities sign will change since we are dividing with a negative
Then,
y > 3x/7 + 3
Then, the intercept is 3 and the slope is 3/7 when compared to equation of a line y = mx + c
We know that
y is greater than 3x/7 + 3, so the upper part should be shaded since y is greater than 3x/7 + 3
Then, option B and C are wrong since the below is shaded
Let find the intercept on the x axis to know the answer between A and B
I.e. when y = 0
3x —7y <—21
3x < —21
x < -7, then, line should pass through the negative of x and not positive x
So, the first option (A) is correct
Plaese help me i will give you 20 points!!!!!
Answers
I hope this helps!
This plot shows the number of cakes sold each day in aunt Alice’s cake shop last month.
What number of cakes sold is an outlier?
Answers
Answer: 9
Step-by-step explanation:
An outlier is an observation point in any data plot that appears farthest from the other data observations.
In the given data plot, the plot shows the number of cakes sold each day in aunt Alice’s cake shop last month.
Here, we have one observation point that appearing farthest from all the other observation points i.e. point at 9.
Therefore the number of cakes sold is an outlier = 9
How do you fully learn your times table and division
Answers
•For the 0 everything is 0
•For the 1’s it’s always the same number ur multiplying it by so like 1x2 is just gonna be 2
1x3 is 3 and 1x578 is 578 simple as that.
•For your 2s times tables it’s literally just adding the same number twice so let’s say you have 2x7 which is the same thing as saying 7x2 all you have to do is just add the same number twice so it’s 7+7= 14 lets do another so 5x2 =10 so 5+5=10
•For your 3’s here’s a 2 minute video and it’s supper helpful
https://m.youtube.com/watch?v=ONl323NU0ws
•For the 4s times tables here a quick link https://m.youtube.com/watch?v=UOGuJRzYv0A
•For the 5s times tables it’s really easy not sure if you need help with that one
•For the 6s
https://m.youtube.com/watch?v=cMMa0iWAOdA
•For 7s
https://m.youtube.com/watch?v=hau8eYZV0t8
•For 8s
https://m.youtube.com/watch?v=-C-e33iVBTM
•For 9s
https://m.youtube.com/watch?v=puFOpCt1_DY
•For 10s all you have to do is do the same trick as for the 1s but put a zero behind the number so 10x7 is 70 and 10x8 is 80 and 10x9 is 90
There is only so many tricks you can learn so just study it a-little bit because multiplication is veryyyy important.
Multiplying is just adding the same number how ever many times
So let’s say you need to add the number 2 in 9 different times instead of saying 2+2+2+2+2+2+2+2+2=18 you can just simply say 2x9=18 simple Right?
If you need 12 and 11s times tables just let me know
Hope this helped, seems like a lot but trust me it’s not everyone knows them all. As you get older you start memorizing them better :)
A recipe requires 4 tsps and 1 fl oz. Which measurement is greater?
Answers
Happy to help! :)
Hope this Helped!
;D
Brainliest??
if angle 7 has a measure of 153° in the given diagram, what is the measure of angle 6
Answers
HELP ME PLZ I REALLY NEED YOUR HELP ANY one 20 points
Answers
410.20 +919.60 +9675.00 = 11,004.80
When divided by the number of seats (4250), the per-seat amount is computed to be
$11,004.80/(4250 seats) ≈ $2.5894/seat
The second proposal breaks out charges on a per-seat basis, so those can be added directly to give a per-seat total.
($0.35 +0.75 +1.50)/seat = $2.60/seat
The second proposal is about $2.60 -2.5894 = 1.06 ¢/seat more than the first.
How do you find the product or quotient of powers with the same base?
Answers
Quotient: When dividing terms that also contain coefficients, divide the coefficients and then divide variable powers with the same base by subtracting the exponents (exponents from the denominator from numerator)
Lisa is extending the width of her son's sandbox. it is currently a rectangle that is 2 yards long and 18 inches wide. she wants it to cover an area of 4 yd in total. by how does she have to increase the width to achieve new area?
Answers
1yd=36inch
18inch×1yd/36inch=.5yd
lw=area
4yd²=2ydw
2=w
2-.5=1.5yd
I WILL MARK BRAINLIEST
The graph shows the location of Gary's, Joan's, and Kash's houses on a coordinate plane. Each unit on the graph represents 1 mile.
Joan is going to pick up Gary and Kash for band practice at her house this afternoon. She is going to pick up Kash first, then Gary, and then go back home for practice. How many total miles will Joan travel while picking up her bandmates? Round your answer to the nearest mile.
A. 9 miles
B. 10 miles
C. 19 miles
D. 22 miles
Answers
Answer: D
i think it is D
Step-by-step explanation:
Which expression is equal to 15x - 6
Answers
The expression 15x - 6 is already in its simplest form and cannot be simplified further without additional information or context.
Explanation:The student is asking for an expression that is equal to 15x - 6. In mathematics, we often look for ways to simplify or manipulate expressions to find equivalents. However, the given expression 15x - 6 is already in its simplest form and cannot be simplified further without additional context or constraints. Sometimes in algebra, we expand, factor, or use algebraic rules to rewrite expressions, but without more information, 15x - 6 stands as it is. It's important to ensure that we understand the context in which an expression is used, as this could influence how it may be manipulated or simplified.
What is the probability that a point chosen at random in the given figure will be inside the smaller triangle? Enter your answer, as a fraction in simplest form, in the box. P(inside smaller triangle) = $\text{Basic}$ $x$$y$$x^2$$\sqrt{ }$$\frac{x}{ }$$x\frac{ }{ }$$x^{ }$$x_{ }$$\degree$$\left(\right)$$\abs{ }$$\pi$$\infty$ A triangle with a base of 2 centimeters and a height of 2 centimeters is within a larger triangle with a base of 6 centimeters and a height of 5 centimeters. The sides of the inner triangle do not touch the sides of the outer triangle.
Answers
Answer:
51/100
Step-by-step explanation: