You want to solve the following system of equations by addition. What should
you do first, so that one variable is eliminated when you add the equations?
-4x+3y=-11
3x - 2y = 8
OA. Multiply the bottom equation by 4.
B. Multiply the top equation by 2 and the bottom equation by 3.
C. Multiply the top equation by 3.
4
D. Multiply the top equation by -3 and the bottom equation by 4.
Answers
Multiply the top equation by 2 and the bottom equation by 3. Then the correct option is B.
What is the linear system?A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
You want to solve the following system of equations by addition.
The system of the linear equation is given below.
– 4x + 3y = – 11
3x – 2y = 8
Then the first thing to do, that one variable, is eliminated when you add the equations, will be
Multiply the top equation by 2 and the bottom equation by 3.
Then the correct option is B.
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Related Questions
Ruthie is trying to choose what reading material she wants to take on a vacation. She wants to read 1 fiction book, 1 nonfiction book, and 3 magazines. If Ruthie has 8 fiction books, 7 nonfiction books, and 3 magazines to choose from, how many possible combinations of books and magazines could she take with her.
E. 3 F.8 G.56 H.112
Answers
The number of possible combinations would be 56.
What is permutation?Permutation is the changing of the order in which things have been arranged or the arranging of things in a certain order.
Analysis:
Total number of fiction books available = 8
number of fiction books Ruthie wants = 1
Number of combination for Ruthie = 8C1 = 8 ways
Total number of non fiction books available = 7
number of non fiction books needed by Ruthie = 1
possible combination = 7C1 = 7 ways
Total number of magazines available = 3 ways.
Total possible combinations for all the Reading materials = 8 x 7 x 1 = 56 ways.
number of magazines Ruthie wants = 3C3 = 1 way
In conclusion, the number of possible combinations of The reading materials is 56.
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What number is composed of 6 ones,22 tenths,33 thousandths and 44 thousandths.
Answers
Answer:
8.277
Step-by-step explanation:
Pretty simple, just add up the values but convert the word form into decimals.
\(6+2.2+0.033+0.044=8.277\)
Also, your question said 33 thousandths, so it is what I answered.
Answer:
8.277
Step-by-step explanation:
PLS HELP WILL GIVE BRAINIEST
Answers
Answer: Pipes
Step-by-step explanation: Pipes transfer water around and veins transfer blood around the body
Answer:
D. pipes
Step-by-step explanation:
Water isn't to lungs
water comes from a sink but it doesn't have the same relationship to the sink as blood does to veins
Water isn't to the ocean like blood:veins because the water is uncontrolled and is everywhere
that leaves water being to pipes like blood is to vessels and the image describes it better than I do
Solving a two-step equation for y
5y + 12 = 32
a
y=5
b
y=6
c
y=8.8
d
y=4
Answers
HOW DO I START?
Don't worry, you know that this problem only has two small steps, and it's done, it should take less than 45 seconds to complete.
WE ALWAYS WANT TO ISOLATE THE VARIABLE TO FIND Y: MAKE IT BE ALONE!
STEP 1: Subtract 12 from both sides, to start getting 5y alone.
NOW YOU HAVE: 5y = 20
STEP 2: Divide by 5 from both sides, to get the Y fully alone.
NOW YOU HAVE: y = 4
Hopefully this helped!
Which equation represents x, the side length of the greater square? x2 + (x – 2)2 = 10 x2 + 2x2 = 10 x2 + (x – 2)2 = 100 x2 + 2x2 = 100
Answers
Answer:
it’s x^2+(x-2)^2= 100
Step-by-step explanation:
I just took the test:)
The equation that represents x, the side length of the greater square is x²+(x-2)²=100.
Suppose the side length of the greater square is x
So, the side length of the smaller square will be x-2
What is a square?A square is a quadrilateral with all four sides equal to each other and all four angles are right angles.
According to the question
The total area of the 10*10 square =100
The area of the greater square + the area of the smaller square =100
The area of the greater square = x²
The area of the smaller square =(x-2)²
So, x²+(x-2)²=100
Thus, The equation that represents x, the side length of the greater square is x²+(x-2)²=100.
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You spend $6. 50 one pair of gloves you have $7. 00 how much money did u have originally
Answers
Answer:
You originally had $13.50.
Step-by-step explanation:
If you spent $6.50 to buy a pair of gloves and now have $7 left, how much money did you have originally?
There are two ways to solve this
Way #1:
Simply add $7 to $6.50 to find how much you had before (since your original amount has subtracted by $6.50, so just add the $6.50 again to get your original amt.) This will give you $13.50.
Way #2:
Make a equation:
Let's assume x is the amount of money you had originally.
x - 6.50 = 7
Isolate the variable (Add 6.50 to both sides):
x = 13.50
You originally had $13.50.
A bag of tiles contains 6 green 4 yellow and 5 blue tiles. If one tile is pulled at random what is the probability of NOT choosing a green tile?
Answers
while watching a basketball game of lakers in a cafe near l.a. live, you observe someone who is clearly supporting lakers in the game. what is the probability that they were actually born within 30 miles of l.a. downtown ?
Answers
The probability that the people came for the match live were born within 30 miles be, 0.197
Given, while watching a basketball game of lakers in a cafe near L.A live, we observe someone who is clearly supporting lakers in the game.
we have to find the probability that the person we observed born within 30 miles of L.A downtown.
As, the area of L.A downtown is 15.13 km².
1.6 km = 1 mile
2.56 km² = 1 miles
15.13 km² = 5.91 miles
Probability that the person was born within 30 miles be,
P = favorable area / total area
P =5.91/30
P = 0.197
Hence, the probability that the people came for the match live were born within 30 miles be, 0.197
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William works at a nearby electronics store. He makes a commission of 6% on everything he sells. If he sells a computer for $764.00
, how much money does William make in commission?
Answers
I believe that he makes $45.84.
Briefly explain what is wrong with the following attempt to find the slope of the tangent line 25 to (x² + y²)² = ry at the point (1,2) 25 Differentiate (z² + y²)² = ²/5 ry² 2(x² + y²) (2x + 2y) − 25 [(1) (v²) + (-) ( 2y - 1)] . 1 Plug in z = 1 and y = 2 2(1² +2²³) - (2(1) + 2(2)) = 25 [(1) (2²) + (1) (2(2) - 1)] 25 10-6- +4 4 60= 25+25- dy 35= 25- dr dy da 11 5 dy dr.
Answers
The attempt to find the slope of the tangent line is incorrect due to errors in the differentiation and substitution steps, resulting in an inaccurate final answer.
The given attempt to find the slope of the tangent line to the equation (x² + y²)² = ry at the point (1,2) involves several mistakes. Firstly, during differentiation, the power rule for differentiating a function raised to a power is not applied correctly.
The term ²/5 ry² is incorrectly differentiated as 2(x² + y²) (2x + 2y), instead of properly differentiating the individual terms. Secondly, the substitution step is flawed, as the values of z = 1 and y = 2 are plugged into the wrong places, leading to incorrect calculations.
Finally, the calculation errors in simplifying the expressions and combining terms further contribute to an inaccurate result. Overall, these errors in differentiation, substitution, and simplification invalidate the attempted solution, rendering the final answer incorrect.
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It costs an appliances company an initial flat rate of $25.70 to
request a shipment of products, with an additional $2.30 charged
per item. Write an equation in slope-intercept form where x
represents the number of items manufactured, and y represents the
total cost of the appliances.
Answers
Answer: The flat rate cost is $25.70 and the cost per item is $2.30, so the total cost (y) can be represented as:
y = 2.30x + 25.70
This is in slope-intercept form, where the slope is 2.30 and the y-intercept is 25.70.
Step-by-step explanation:
I need help someone please help it would mean a lot
Answers
Step-by-step explanation:
the answer is 9................
Find the dimensions of a deck which will have railings on only three sides. There is 28 m of railing available and the deck must be as large as possible.
Answers
Answer:
The largest possible area of the deck is 87.11 m² with dimensions;
Width = 9.33 m
Breadth = 9.33 m
Step-by-step explanation:
The area of a given dimension increases as the dimension covers more equidistant dimension from the center, which gives the quadrilateral with largest dimension being that of a square
Given that the railings will be placed on three sides only and the third side will cornered or left open, such that the given length of railing can be shared into three rather than four to increase the area
The length of the given railing = 28 m
The sides of the formed square area by sharing the railing into three while the fourth side is left open are then equal to 28/3 each
The area of a square of side s = s²
The largest possible area of the deck = (28/3)² = 784/9 = 87.11 m² with dimensions;
Width = 28/3 m = 9.33 m
Breadth = 28/3 m = 9.33 m.
If a circle has a diameter of 24 centimeters, and the length of an arc is 36 centimeters, what is the measure of the central angle sub tended by the arc
Answers
The measure of the central angle sub tended by the arc is 20.62 degree.
Now, According to the question:
The given data is:
A circle has a diameter of 24 centimeters,
and the length of an arc is 36 centimeters.
To find the measure of the central angle sub tended by the arc.
We know that in a circle of radius 'r' unit, if an arc of length 'l' unit
subtends an angle θ radian at the center, then θ= 1/r
Therefore,
Diameter = 24 then, r = Diameter/2
Radius = 12cm. , Length of an arc = 36cm
θ = 36/100 radian = \(\frac{180}{\pi }\) × \(\frac{36}{100}\) degree = (180 × 36 x 7)/(22 × 100)
= 20.62 degree.
Hence, the measure of the central angle sub tended by the arc is 20.62 degree.
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Simplify: (8 ^2/3)^4
8 8/3
8 6/3
8 6/12
Answers
Answer:
(8^2/3)^4 = (2^3×2/3)^4 = 2^2×4 = 2^8 = 8^ 8/3 (ans)
Hope it helps
Answer: 8^8/3
Step-by-step explanation:
Translate the sentence into an equation.
Eight times the sum of a number and 2 is equal to 7.
Use the variable w for the unknown number.
Answers
Answer:
Eight times the sum of a number and 2 is equal to 7.
times = multiply
sum = ()
and = +
SO..
8(w + 2 ) = 7
14x to the power of -2 , for x=7
Answers
Answer:
:5:5&&'4&4&4&:&;4"33*2**223$&4&4&55&
Answer:
0.00010412328
(log n)^k = o(n)? which function grows faster
Answers
The function that grows faster between (log n)^k and o(n) is o(n).
This is because the logarithmic function, (log n)^k, grows at a much slower rate than the linear function, o(n). As the value of n increases, the difference between the two functions becomes more apparent, with o(n) growing much faster than (log n)^k.
To visualize this, imagine a graph with n on the x-axis and the value of the function on the y-axis. As n increases, the value of o(n) will increase at a steady rate, while the value of (log n)^k will increase at a much slower rate.
Therefore, the function o(n) grows faster than (log n)^k.
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the midpoint of uv is m(10, 6). one endpoint is v(10, 7). find the coordinates of the other endpoint u.
Answers
The coordinates of the other endpoint U are found to be (Xu, Yu) = (10, 5).
What is coordinates of a point?The coordinates are a pair of numbers which characterize the exact location of a point on a cartesian plane through using horizontal and vertical lines.
The x and y values of a point on a graph are usually represented by (x, y). Each point or ordered pair has two coordinates.Now, as per the question.
To find the coordinates of U, use the midpoint formula with the coordinates of points u and v (Xv, Yv) and (Xm, Ym) respectively.
Let's refer to them as (Xu, Yu)
Midpoint formula {(Xv + Xu)/2, (Yv + Yu)/2)}
Fill in the recognized coordinates as needed.
Point V at (10, 7) = (Xv, Yv)
Midpoint, point M at (10, 6) = (Xm, Ym)
For the x coordinates;
(10 + Xu)/2 = 10
Xu = 10.
Similarly for the y coordinate;
(7 + Yu)/2 = 6
7 + Yu = 12
Yu = 5
We can test this by plugging U's coordinates into the midpoint formula.
(10 + 10)/2 = 20/2 = 10
(5 + 7)/2 = 12/2 = 6
Therefore, the coordinates of the are (Xu, Yu) = (10, 5).
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Evaluate the following limits. lim n -> ∞ sum i = 1 to n ((i ^ 2)/(n ^ 2)) * (1/n) (Picture of equation for clarification)
Answers
Given:
Required:
To find the limit value of the given function.
Explanation:
\(\begin{gathered} =\lim_{n\to\infty}[\frac{1^2}{n^3}+\frac{2^2}{n^3}+........+\frac{n^2}{n^3}] \\ =\lim_{n\to\infty}\frac{1^2+2^2+3^2+.........+n^2}{n^3} \\ =\operatorname{\lim}_{n\to\infty}\frac{\sum_^n^2}{n^3} \\ =\operatorname{\lim}_{n\to\infty}\frac{1}{n^3}\times\frac{n(n+1)(2n+1)}{6} \\ =\operatorname{\lim}_{n\to\infty}\frac{n^3(1+\frac{1}{n})(2+\frac{1}{n})}{6n^3} \end{gathered}\)Cancel out the same terms from the numerator and denominator.
\(=\lim_{n\to\infty}\frac{(1+\frac{1}{n})(2+\frac{1}{n})}{6}\)Now apply the limit.
\(\begin{gathered} =\frac{(1+\frac{1}{\hat{\infty}})(2+\frac{1}{\infty})}{6} \\ =\frac{(1+0)(2+0)}{6} \\ =\frac{2}{6} \\ =\frac{1}{3} \end{gathered}\)Final Answer:
The limit value of the given function is
\(\frac{1{}}{3}\)\(\frac{1{}}{3}\)
21y+7x=56? what is the value of X
Answers
Answer:
x = 8 - 3y
Step-by-step explanation:
\(21y+7x=56\\\\21y-21y+7x=56-21y\\\\7x=56-21y\\\\\frac{7x=56-21y}{7}\\\\\boxed{x=8-3y}\)
Hope this helps.
21.5 ÷ 5 + (80.6 - 12.5 ÷ 2)
PEMDAS
Answers
Answer:
78.65
Step-by-step explanation:
Please help for section d) 100 points, must show all working and step by step
Answers
Answer:
Step-by-step explanation:
(a) and (b) see diagram
(c) you can see from the graph, the purple line hits the parabola twice which is y=6 or k=6
(d) Solving simultaneously can mean to set equal
6x - x² = k >subtract k from both sides
6x - x² - k = 0 >put in standard form
- x² + 6x - k = 0 >divide both sides by a -1
x² - 6x + k = 0
(e) The new equation is the same as the original equation just flipped (see image)
(f) The discriminant is the part of the quadratic equation that is under the root. (not sure if they wanted the discriminant of new equation or orginal. I chose new)
discriminant formula = b² - 4ac
equation: x² - 6x + 6 = 0 a = 1 b=-6 c = 6
discriminant = b² - 4ac
discriminant= (-6)² - 4(1)(6)
discriminant = 36-24
discriminant = 12
Because the discriminant is positive, if you put it back in to the quadratic equation, you will get 2 real solutions.
what is the prefix length notation for the subnet mask 255.255.255.224?
Answers
The prefix length notation for the subnet mask 255.255.255.224 is /27.
The length of something refers to its size or length measured from end to end. In other words, it is the larger of an object's higher two or three geometric dimensions. For instance, a rectangle's dimensions are determined by its length and width.
The prefix-length defines a range of devices. It is represented by a slash (/) after an integer between 1 and 128.
There are 27 bits in the subnet mask 255.255.255.224 that are set to 1, giving it a prefix length of /27. Hence, /27 is used to represent the prefix length for the subnet mask 255.255.255.224.
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Finding unknown measures in similar triangles
Answers
Answer:
8
Step-by-step explanation:
8
The value of the missing side of the triangle is 24.
What is the similarity?Similarity refers to the degree of resemblance or likeness between two or more things, concepts, or ideas. It can be measured in various ways, depending on the context and the characteristics being compared.
Scale factor refers to the ratio of the size of an object in the original form to its size in the scaled or transformed form. It is commonly used in geometry and mathematics to describe how the dimensions of an object have changed after a transformation such as scaling, stretching, or shrinking.
From the given figure the value of the missing number is calculated as,
36 / 24 = x / 16
x = ( 8 x 3 )
x = 24
Therefore, the value of an unknown number is x = 24.
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Can anyone help me asap ill mark brainlist !!!!!
Answers
Answer:
the answer is b because 7.20 / 4/5 that's her pay per hour
Answer:
D
Step-by-step explanation:
7.20 per 1/4 of an hour divided by 4 (to find the rate of one fifth of an hour)
is 1.8.
1.8 x 5 (to find the amount per hour) is 9.
$9 per hour.
How to solve this 4×5-45÷9
Answers
Answer:
15
Step-by-step explanation:
the answer is 15
Answer: 4x5-45÷9=15
Step-by-step explanation:
A cylindrical water bottle with a height of 21 cm and diameter 6.5 cm is fully filled with water. Kelvin wants to pour all the water in the bottle into a cubic container. State thr minimum leght, to the nearest cm, the side of the cube.
Answers
Answer:
9 cm
Step-by-step explanation:
First, we need to find the volume of the cylindrical water bottle. The volume of a cylinder is πr²h where r = radius and h = height. In this case, r = diameter / 2 = 6.5 / 2 = 3.25 and h = 21 so the volume is π * 3.25² * 21 = 221.8125π ≈ 696.84. Let's call the length of the cubic container s. The volume of the cube (which is s³) must be at least the volume of the water bottle, therefore:
s³ ≥ 696.84
∛s³ ≥ ∛696.84
s ≥ 8.86566
The smallest integer value that satisfies this is 9 cm.
justin is driving from riverton to rock springs, a distance of 144 miles. he plans to stop along the way for 15 minutes. how fast must justin drive in order to averafe 64 miles per hour for the whole trip, including the time when he stops
Answers
Justin must drive at least 67.2 miles per hour (rounded to one decimal place) to average 64 miles per hour for the whole trip, including the 15-minute stop
To average 64 miles per hour for the whole trip, Justin must complete the 144-mile distance and the 15-minute stop in a total of 144 minutes (2 hours and 24 minutes) or less.
If we subtract the 15 minutes stop from the total time, Justin will have to cover the 144 miles in 129 minutes (2 hours and 9 minutes) or less.
To determine the required speed, we can use the formula:
\(speed = \frac{distance }{time}\)
So, \(speed = \frac{144 miles}{129 minutes}=1.12 miles per minute\)
To convert this to miles per hour, we can multiply by 60:
1.12 miles per minute x 60 minutes per hour = 67.2 miles per hour
Therefore, Justin must drive at least 67.2 miles per hour (rounded to one decimal place) to average 64 miles per hour for the whole trip, including the 15-minute stop.
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please help and do any of them that you can
Answers
B _< -1
2g _< 6
K+2 > 3
Answer:
Sorry but thats too cunfusing for me sorry I couldn't help
Step-by-step explanation:
best of luck