The correct option is (B). [tex]3x+5y=29[/tex] And [tex]-3x-12y=-48[/tex].
Given Equations,
[tex]3x + 5y = 29......(1)[/tex]
[tex]x + 4y = 16.......(2)[/tex]
We have to find out Which system of equations is equivalent to the Given system of Equations.
1). System of equation are,
[tex]3x+5y=29\\-x-4y=16[/tex]
taking - common and transposing to R.H.S we get,
[tex]x+4y=-16[/tex]
This equation is not equal to equal (2), so the option (1) is not the system of equation equivalent to given Equations.
Similarly, on checking other options,
2. system of equation,
[tex]3x+5y=29\\-3x-12y=-48[/tex]
Taking -3 common from L.H.S. we get,
[tex]-3(x+4y)=-48\\\\x+4y=\dfrac{-48}{-3}[/tex]
[tex]x+4y=16[/tex].
Hence the Above system of equation is equivalent to the given system of equation.
So, there is no need to check option (3) and option (4).
Hence the correct option is (B).
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What is the selling price of an item if the original cost is $784.50 and the markup on the item is 6.5 percent?
selling price = original cost + markup value
A.
$509.95
B.
$831.57
C.
$835.49
The selling price of the item is $835.49
How to determine the selling price?The given parameters are:
Original cost = $784.50
Markup = 6.5%
The selling price is calculated as
Selling price = Original cost * (1 + Markup)
So, we have:
Selling price =$784.50 * (1 + 6.5%)
Evaluate the expression
Selling price =$835.49
Hence, the selling price of the item is $835.49
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The ratio of United States gold medals to Russia gold medals was about to 1. If the US has 46 and Russia has 24, then what is the ratio
Answer;
23:12
Step-by-step explanation:
if USA has 46medals and Russia had 24medalso 46 : 24lowest term method 2in 46 23and 24/2is 12 answer 23 : 12The ratio between the US and Russia is 23:12
What is a ratio?The quantitative relation between two amounts shows the number of times one value contains or is contained within the other. for example-"the ratio of computers to students is now 2 to 1"
Given here US has 46 and Russia has 24 and thus the ratio is
46:24=23:12
Hence, the required ratio is 23:12
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Is Helena correct? If so, explain how she can tell that the diagram represents if she is not correct,
explain why not
Answer:
yes it she is
Step-by-step explanation:
Solve. 8 3/5=3/4x−5 1/2 Enter your answer as a mixed number in simplest form in the box.
The value of x in the expression is 18(24/30).
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
8(3/5) = (3/4)x - 5(1/2)
43/5 = 3x/4 - 11/2
43/5 + 11/2 = 3x/4
(86 + 55)/10 = 3x/4
141/10 = 3x/4
3x = 141 x 4 / 10
x = 564/30
x = 18(24/30)
Thus,
The value of x is 18(24/30).
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5. Name the side included by
AB
AC
BC
none of these.
Answer:
AB
Step-by-step explanation:
Side AB is in between angle A and angle B. We can tell this because angle A is at one point, and angle B is at the other.
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
how do you subtract -5000 from 263
Answer:
263-5000=4737
Step-by-step explanation:
IF ITS -5000-263
if you subtract a negative to a negative it makes the negative increase. -5000-263 would end up being technically -5000+(-263). A number line would help you, because on a number line, when subtracting, you go to the left.
[-5000+(-263)=-5263]
IF ITS 263-(-5000)
do you see those two - signs? Those cross eachother out, turning it into a +, also making the -5000 not negative anymore. Making 263-(-5000) = 263+5000.
[263+5000=5263]
4b) Work out the mean and standard deviation of the following: picture included
Note: I ended up with the simultaneous equations, which are correct according to the markscheme BUT the answers I got upon solving them were incorrect.
μ = 170 + 1.6449σ
μ = 180 - 0.8416σ
What I got after solving these were:
μ = 169.5306859
σ = 12.44864932
But according to the markscheme, I should have gotten:
μ = 176.615...
σ = 4.021...
Can someone explain to me where I've gone wrong?
Answer:
Yes, your simultaneous equations are correct;
Solve them like so:
170 + 1.6449σ = 180 - 0.8416
2.4865σ = 10
σ = 4.0217...
μ = 170 + 1.6449(4.0217...)
μ = 176.615...
MS is correct, you must've made an error in solving or rearranging
can anyone find the area to this?
Answer:36
Step-by-step explanation: 3X4 or 3 rectangles plus tow rectanges that = 12
(w-10x) (w+10x) Use the Identities to solve this question
We are provided that –
(w-10x) (w+10x)Applying identity –
a² - b² = (a + b)(a - b)[tex]\qquad[/tex] [tex]\twoheadrightarrow\bf(w-10x) (w+10x)[/tex]
[tex]\qquad[/tex] [tex]\twoheadrightarrow\bf w^2 - (10x)^2[/tex]
[tex]\qquad[/tex] [tex]\twoheadrightarrow\bf w^2 -100 x^2[/tex]
you and your friend are both saving your allowance for summer vacation. You start with $50.50 in the bank, and your allowance is $8.50 per week. Your friend starts with $8.00 in the bank, and they get twice as much for allowance. After how many weeks do you have the same amount of money
Answer:
5
Step-by-step explanation:
17+8+17+17+17+17=93
8.50+50.50+8.50+8.50+8.50+8.50=93
5 kilometers in 30 minutes how many kilometers can she run in 45 minutes
8 kilometers
1 kilometer every 6 minutes
please help 50 pts and brainliest if correct
Answer:
C
Step-by-step explanation:
it makes sense yah?
Answer:
C) Three fourths of the fish he caught were less than 50.5 pounds
Cellular phone service that charges per-minute will charge $15 for 70 minutes. How much would 1077 minutes cost?
Answer:
$5026
Step-by-step explanation:
if you divide 70 by 15 you get 4.66666667
then multiply 4.6666667 by 1077 and you get 5026
A?
B?
C?
D?
If your right I’ll mark brainlest !<3
PLEASE HELP ITS 10TH GRADE GEOMETRY
Hope you could get an idea from here.
Doubt clarification - use comment section.
Question 7 of 25
If f(x) = 3x2 - 2x + 4 and g(x) = 5x2 + 6x - 8, find (f+ g)(x).
A. (f+ g)(x) = -2x2 - 8x+ 12
B. (f+g)(x) = 8x2 + 8x + 12
O C. (f+g)(x) = 2x2 + 8x - 12
D. (f+g)(x) = 8x2 + 4x - 4
Answer:
D. (f+g)(x) = 8x^2 + 4x - 4
Step-by-step explanation:
The notation (f+g)(x) is shorthand for f(x) +g(x).
(f +g)(x) = f(x) +g(x) = (3x^2 -2x +4) +(5x^2 +6x -8)
= (3 +5)x^2 +(-2 +6)x +(4 -8)
(f +g)(x) = 8x^2 +4x -4
What is the relationship between 0.04 and 0.004?
Answer: 0.04 is exactly 10 times as much as 0.004. If we multiply 0.004 by 10, we will get 0.04 as an answer. In other words, we can say that 0.004 is exactly 1/10th of 0.04. It means that if we divide 0.04 by 10, we will get 0.004 as an answer.
Answer:
Look below
Step-by-step explanation:
0.04 means 4 hundredths since if you divide 4 by 100 you get 0.04. You can try it yourself on a calculator. 0.004 is 4 thousandths. Same thing with 0.04, if you divide 4 by 1000 you will get 0.004. Hope this helps! If you want me to explain a bit more I can try
which expression is equivalent to the expression (2x+4)(x-6) pls i need it
Answer:
[tex]B.~2x^2-8x-24[/tex]
Step-by-step explanation:
FOIL the terms and then add like terms.
[tex]2x\cdot x=2x^2\\2x\cdot -6=-12x\\4\cdot x=4x\\4\cdot -6=-24\\\\2x^2-12x+4x-24\\2x^2-8x-24[/tex]
Find a solution to the inequality x > 4.
A. 8
B. 3
C. 4
D. 0
Answer:
8
Step-by-step explanation:
Isn't it simple because all other numbers are less than 4?
A scatterplot is used to display data for a runner where x is the number of miles run, and y is the time, in minutes, that it takes to run that distance. Which interpretation describes a line of best fit of y = 9. 5x for the data in the scatterplot? For each 1 minute, the runner ran 9. 5 miles. For each 9. 5 minutes, the runner ran 1 mile. The minimum distance with a recorded time is 9. 5 miles. The maximum distance with a recorded time is 9. 5 miles.
The interpretation that describes a line of best fit of y = 9.5x for the data in the scatterplot is (a) For each 1 minute, the runner ran 9.5 miles
The equation of the line of best fit is given as:
[tex]y = 9.5x[/tex]
The line of best fit is represented as:
[tex]y = mx + b[/tex]
Where m represents the rate or slope.
So, by comparison:
[tex]m = 9.5[/tex]
This means that, the number of miles travelled every minute is 9.5
Hence, the true statement is (a)
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a
Fitness Club A has a membership fee of $35 plus $3 each time you swim. Fitness Club B has a membership fee of
$27.50 plus $4.50 each time you swim. After how many swims will the cost be the same?
A
4
B) 7
6
D
8
E 5
Write an equation for each one set the equal to each other and solve.
A: 35 + 3x
B: 27.50 + 4.50x
35 + 3x = 27.50 + 4.50x
Subtract 27.50 from both sides:
7.50 + 3x = 4.50x
Subtract 3x from both sides
7.50 = 1.50x
Divide both sides by 1.50
X = 5
Answer: 5
please help thx
calculate the value of x
calculate the value of y
calculate the value of z
please help me guys .if 5+5=10an 10+10=20 whats does 20+20 equal
Answer:
20 + 20 = 40
Help please I don’t understand
Answer:
4
Step-by-step explanation:
Answer:
-1/3
Step-by-step explanation:
4²-4¹ 2-0. -2/6= -1/3
x²-x¹ = 4-2 =
What is the range of y=3sin(x)?
Answer:
The range is -3≤y≤3 - 3≤y≤3.
Step-by-step explanation:
I hope this helps! :)
Kaya rented a limousine for prom. There was a one-time charge of $100 plus an hourly rate of the total
cost for the night was $347.50. How many hours did Kaya rent the limo for?
Answer:
3 hours
Step-by-step explanation:
it is $100 for 1 hour right. Ok so forget about the hourly rates. Then you are left with $300. $300 total÷100 per hour = 3 hours.
Answer:
The total is 3 hours
Hope this help! good luck :)
A study of the annual population of the red - winged blackbird in FT. Mill, South Carolina, shows the population incresing at a rate of 16%. If
the population starts at 150 blackbirds, then which of the following functions properly models the population B(t) as a function of time.
O a B(t) = 150(1.6)
Ob B(t) = 150(16)
Oc B(t) = 150(1.16)
Od B(t) = 150(.84)
The functions that properly model the population B(t) as a function of time is B(t) = 150 (1.16)
Given the following
Initial population = 150 birdsIf there is a 16% increase, the increment will be 0.16(150)
The population B(t) as a function of time will be expreessed as:
B(t) = 150(1+0.16)
B(t) = 150 (1.16)
Hence the functions that properly model the population B(t) as a function of time is B(t) = 150 (1.16)
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Complete the table using the equation y = 5x + 3.
x -1 0 1 2 3
y -? ? ? ? ?
Answer:
See below
Step-by-step explanation:
When x=-1, y=5(-1)+3=-5+3=-2
When x=0, y=5(0)+3=0+3=3
When x=1, y=5(1)+3=5+3=8
When x=2, y=5(2)+3=10+3=13
When x=3, y=5(3)+3=13+3=16
Therefore, this is the correct table:
x -1 0 1 2 3
y -2 3 8 3 16
17. The sides of a rectangle are in the ratio of 5 : 4. If its perimeter is 144 cm,
then its length is
bi
a) 40 cm
b) 20 cm
c) 30 cm
d) 60 cm
What is the answer
Answer:
Option A
Step-by-step explanation:
Let,
Length = 5x
Breadth = 4x
Perimeter = 2(l + b)
=> 144 = 2(5x + 4x)
=> 144 = 2(9x)
=> 144 = 18x
=> 144/18 = x
=> 8 = x
Therefore,
Length = 5x = 5(8) = 40 cm
Given Polynomial:
5x-4x^2+3
Solve for x=0
[tex]\huge \rm༆ Answer ༄[/tex]
Plug the value of x as 0 in the given Polynomial ~
[tex] \sf5x - 4 {x}^{2} + 3[/tex][tex] \sf(5 \times 0) - (4 \times 0 {}^{2} ) + 3[/tex][tex] \sf0 - 0 + 3[/tex][tex] \sf3[/tex]Therefore , the equivalent value is 3