Answer:
The value of y is 12 nd that of x is 7
12 is the value of y in the solution to the following system of linear equations 2x+2=y and 2y=5x-1
The given system of linear equations 2x+2=y abd 2y=5x-1
2x-y=-2...(1)
-5x+2y=-1..(2)
Multiply equation (1) with 2.
4x-2y=-4
-5x+2y=-1
Add both the equations
-x=-5
x=5
Now plug in x value
2(5)+2=y
12=y
12 is the value of y.
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Please help ill give brainliest and 20 points (when I can) 2) The ratio 35 : 84 in simplest form is: *
10 points
5 : 7
7 : 12
5 : 12
None of These
Answer:
None Of The Above
Step-by-step explanation:
Its 7/17
can anyone show their work for this question?
Answer:
let me solve then once i'm done ill put the answer the chat below! :)
Step-by-step explanation:
Please show your work for this question
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[tex]4 \times {9}^{2x} = 42[/tex]
Divide sides by 4
[tex] \frac{4 \times {9}^{2x} }{4} = \frac{42}{4} \\ [/tex]
[tex] {9}^{2x} = \frac{2 \times 21}{2 \times 2} \\ [/tex]
[tex] {9}^{2x} = \frac{21}{2} \\ [/tex]
[tex]( { {9}^{2} })^{x} = \frac{21}{2} \\ [/tex]
[tex]x = log_{ {9}^{2} }( \frac{21}{2} ) \\ [/tex]
[tex]x = \frac{1}{2} log_{9}( \frac{21}{2} ) \\ [/tex]
[tex]x = \frac{1}{2} log_{ {3}^{2} }( \frac{21}{2} ) \\ [/tex]
[tex]x = \frac{1}{2 \times 2} log_{3}( \frac{21}{2} ) \\ [/tex]
[tex]x = \frac{1}{4} log_{3}( \frac{21}{2} ) \\ [/tex]
[tex]x = \frac{1}{4} ( \: \: log_{3}(21) - log_{3}(2) \: \: ) \\ [/tex]
[tex]x = \frac{1}{4} ( \: \: log_{3}(3 \times 7) - log_{3}(2) \: \: ) \\ [/tex]
[tex]x = \frac{1}{4} ( \: \: log_{3}(3) + log_{3}(7) - log_{3}(2) \: \: ) \\ [/tex]
[tex]x = \frac{1}{4} ( \: \: 1 + log_{3}(7) - log_{3}(2) \: \: ) \\ [/tex]
And we're done...
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A morning truck can carry no more than 1480 pounds of cargo. Brian loaded 640 pounds into the truck already. He is loading boxes that weigh 70 pounds. How many boxes can he out into the truck
Given :
A morning truck can carry no more than 1480 pounds of cargo.
Brian loaded 640 pounds into the truck already.
He is loading boxes that weigh 70 pounds.
To Find :
How many boxes can he out into the truck.
Solution :
Weight left for carrying cargo, W = 4180 - 640 pounds
W = 3540 pounds
Number of boxes of 70 pounds cargo he can carry in truck is :
[tex]n =\dfrac{3540}{70}\\\\n = 50.57[/tex] ≈ 50 .
Therefore, number of box they can carry is 50.
Hence, this is the required solution.
What are the zeros of this function?
-5
O A. X = 3 and x = 6
O B. x = -2 and x = 4.5
O C. x = 0 and x = 3
O D. x = -6 and x = -3
Answer:
A. X = 3 and x = 6
Step-by-step explanation:
Since graph is intersecting x-axis at 3 and 6, therefore 3 and 6 are zeros of this function.
The zeros of the function are x = 3 and x = 6
How to determine the zeros of the function?The zeros of the function are the x values where the graph crosses the x-axis
From the figure, the graph crosses the x-axis at:
x = 3 and x = 6
Hence, the zeros of the function are x = 3 and x = 6
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Please help on this thanks
[tex]2(n-2)<3n-6[/tex]
↝ Multiply 2 inside (n-2) as we get 2n-4
[tex]2n-4<3n-6[/tex]
↝ Inequality is almost the same as equation so you just do the same like equation.
[tex]2n-4-3n+6<0\\-n+2<0\\-n<-2[/tex]
↝ Since it's Inequality. When the variable is negative, you have to make it positive.
[tex]n<\frac{-2}{-1}\\n<2[/tex]
↝ BUT! n < 2 isn't the right answer.
↝ Because for Inequality. Taking out the negative/Move the negative variable to another side ( from -n to n and -2 to -2/-1 = 2).
↝ You have to swap the inequality symbol after taking the off the negative variable.
↝ For example, if it is -n < 2 then the answer will be n > -2
or -n < -3 then the answer will be n > 3
But if it is n>2-3 as we get n>-1, not n < -1 because the variable isn't negative at all.
Basically, we swap the inequality symbol when it's negative variable.
↝ Therefore, it's not n < 2 but it is n > 2
So the right choice is n > 2 also known as the ( D ) answer.
Part A: If (72)x = 1, what is the value of x? Explain your answer. (5 points)
Part B: If (70)x = 1, what are the possible values of x? Explain your answer. (5 points)
Answer:
see step by step explanation
Step-by-step explanation:
part a: x=1/72 because there are 72 x's in the one so 1/72
part b: x=1/70 because there are 70 x in 1 so x = 1/70
Answer:
(7^2)^0
Step-by-step explanation:
The Zero rule property states that anytime you multiple an exponent by 0 it always equals 1. So, if you multiply the equation by 0 it will equal one.
Yes or no math question
Answer:
a. y
b. n
c. n
d. y
e. y
y-yes
n-no
Step-by-step explanation:
Mr. Jansen opend a savings account with an initial deposit of $720 and will not make any additional deposits or withdrawals. The account earns 1% simple interest. What is the total amount that Mr.Janesen will have in his account at the end of 3 years.
Answer:
C
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
If you
What is 33.153 rounded to the nearest tenth?
Answer:
33.15 that is the answer
Answer: 30
Step-by-step explanation: anything below 5 rounds down to 30, 40,50,60,ect. anything 5 and up rounds to the next number 40,50,60,70,ect.
are the two lines parallel, perpendicular, or neither ?
Answer:
Perpendicular
Step-by-step explanation:
the lines are Perpendicular or it can also be parallel
The lines in Graph 1 is neither, graph 2 is parallel, graph 3 is parallel and graph 4 is perpendicular.
What are Parallel Lines?Parallel lines are those straight lines in a plane which will not intersect each other even if we extend the line to infinity.
Perpendicular lines are those lines where the two lines meet a point where the angle between the two lines is 90 degrees.
Graph 1 :
Lines are not parallel because if we extend one line it will meet the other line.
Lines are not perpendicular since the point of intersection will never make the angle between the lines as 90 degrees.
So it is neither parallel nor perpendicular.
Graph 2 :
The two lines will never intersect if we extend the line infinity.
So they are parallel.
Graph 3 :
Again the lines are parallel since they won't intersect at any point.
Graph 4 :
Since both the lines make a 90 degree angle at the point of intersection, they are perpendicular.
Hence the lines are parallel in graph 2 and 3, lines are perpendicular in graph 4 and lines are neither in graph 1.
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Estimate how much MORE water it would take to completely FILL the vase to the top?
Answer:
81πinc^3
Step-by-step explanation:
Volume of glass = π(3)^2(12) = 108πin^3
Volume of water in glass = π(3)^2(3) = 27πin^3
Volume needed to fill completely = 108π - 27π = 81π^3
Topic: Mensuration
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cuación. 3(x + 2) – 6 = 3x
Help need answer ASAP 7/15% of a quantity is equal to
? of the quantity.
Answer:
Step-by-step explanation:
7/15 = .4666 = 46.66%
Phillipe exercises on a treadmill 5 days a week. For each session, he warms up by walking for 10 minutes and then runs at a constant speed of 12
kilometers per hour. He cools down by walking for 5 minutes. If Phillipe runs 100 kilometers per week, which statement is true?
O Each treadmill session takes about 9 hours.
O Each treadmill session takes about 3 hours.
O Each treadmill session takes about 2 hours.
Each treadmill session takes about 8 hours.
Answer:
each would take about 8 hours. all youd need to do is divide 100 kilo by 12 because thats how much he runs in one hour. so 100 kilometers per week would take 8.3, which is rounded to ~about~ 8
The true statement is Each treadmill session takes about 2 hours.
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
He runs at a constant speed of 12 kilometers per hour for 5 days per week.
If he runs 100 kilometers per week
So, each day he runs
= 100 /5
= 20 Km
and, he runs 20 Km in
= 20 /12
= 1.666
= 2 hours approximately.
Hence, Each treadmill session takes about 2 hours.
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Write an addition expression with one positive and one negative number that has a sum of 3.
Answer:
-7+10=3
Step-by-step explanation:
You can go anywhere with this but this is just my answer.
Are the two lines equations parallel, perpendicular, or neither? 10x+8y=16 5y=4x-15
Answer: Neither
Step-by-step explanation: if you look at both slopes 10x and 4x they are neither the reciprocal or even remotely close to each other
The two equations 10x+8y=16 and 5y=4x-15 are perpendicular to each other.
What is an equation?The equation in mathematics is the relationship between the variables and the number and establishes the relationship between the two or more variables.
The two given equations are 10x+8y=16 and 5y=4x-15 then reduce both the equations in the intercept form of the standard line of the equation.
The standard form of the equation of the line is,
y = mx + c
For the equation: 10x+8y=16
10x + 8y = 16
5x + 4y = 8
4y = -5x + 8
y = (-5/4)x + 2
For the equation: 5y=4x-15
5y = 4x -15
y = ( 4/5 )x - 3
The slope of line 1 is ( -5/4 ) and the slope for line 2 is ( 4/5 ). Here, the slope of the lines is opposite and reciprocal of each other. The lines will be perpendicular to each other.
Therefore, two equations 10x+8y=16 and 5y=4x-15 are perpendicular to each other.
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A boat travels x miles per hour down the mississippi river. On the return trip, the boat travels 5 mikes per hour slower for 6.5 hours. How far does the boat travel down the river?
Step-by-step explanation:
x miles per hour so you need to add then 5+6.5 is 11.5
(3x2)(−2x4) = 3(−2)x2∙4 = 6x8
Could you please find out what's wrong and say what should be there instead? The problem is : (3x to the power of 2 ) (-2x to the power of 4) = 3(-2)x to the power of 2.4 = 6x to the power of 8
Answer:
The correct answer is -6x⁶
Step-by-step explanation:
Given that:
[tex]3x^2 ( - 2x^4 ) \\ \\ =3(-2)x^{2.4} \\ \\ = 6x^8[/tex]
From the second step above, using the law of indices the correct format should be
[tex]= (3\times -2)x^{2+4}[/tex]
So, the problem lies where we have 2.4, it is not supposed to be (2*4). It supposed to be 2+4 because the law of indices states that we multiply the index together and add their power.
Then the result of that yields
= -6x⁶
In the third step, they also omit the negative sign, when multiplying (3 * -2).
Thus, the correct answer is -6x⁶
In one version of a trail mix there 4 cups of peanuts mixed with 2 cups of raisins. In another version of trail mix there are 6 cups of peanuts mixed with 3 cups of raisins are the ratios equivalent for the two mixes
Answer:
No, they are not equivalent.
Find the missing angle
90
140
130
88
Answer:
130
Step-by-step explanation:
an triangle= 180 degrees so 180-35-90=50 so p is 50 then 180 -50=130
Answer:
Its 130 mate i did this question before at my old school
Step-by-step explanation:
What's the greatest number 26 or 5.2
Answer:
26
Step-by-step explanation:
26 is the greatest number because 5.2 is a single digit and has lower value than 26.
26 > 5.2
Hope this helps!
PLEASE ANSWER THIS ASAP !!!!
Answer:
y = (1/2)x + 2
Step-by-step explanation:
Find the slope:
Take the rise over run to find this- For every unit it goes up, it goes two units across, so it will be (1/2)
Find the y-intercept:
This is the value of y where the line intersects the y-axis- (0,2), so 2
Substitute these values in for m and b:
y = mx + b
y = (1/2)x + 2
Hope that helps! :)
One of these scenarios represents a direct variation and one does not. How can you tell the difference? a) A large pizza with one topping costs $15.50. A large pizza with 4 toppings costs $20. Does the price vary directly with the number of toppings? b) A marathoner ran 5 miles in 40 minutes and 15 miles in 120 minutes. Does the number of minutes vary directly with the number of miles? Your answer:
Answer: See explanation
Step-by-step explanation:
a) A large pizza with one topping costs $15.50. A large pizza with 4 toppings costs $20.
A large pizza with one topping costs $15.50.
Using the formula for direct variation,
y = kx
where,
y = Cost of pizza
x = number of toppings
k = constant of proportionality
15.50 = 1k
k = 15.50
A large pizza with 4 toppings costs $20.
Using y = kx
20 = 4k
k = 20/4
k = 5
Here, the price does not vary directly with the number of toppings because the constant of proportionality is different.
b) A marathoner ran 5 miles in 40 minutes and 15 miles in 120 minutes.
Using y = kx
where,
y = 40
x = 5
y = kx
40 = 5k
k = 40/5
k = 8
Using y = kx
where,
y = 120
x = 15
y = kx
120 = 15k
k = 120/15
k = 8
The number of minutes vary directly with the number of miles. This is because the constant of proportionality is thesame in both cases.
Therefore, the second one(B) represents a direct variation and the first one (A) doesn't.
If A:B = 5:18 and B:C = 6:4, form the ratio A:B:C
Answer:
5 : 18 : 12
Step-by-step explanation:
Express the ratio B : C in fractional form, that is
[tex]\frac{B}{C}[/tex] = [tex]\frac{6}{4}[/tex] ( cross- multiply )
6C = 4B ( divide both sides by 6 )
C = [tex]\frac{4}{6}[/tex] B = [tex]\frac{2}{3}[/tex] B , then
C = [tex]\frac{2}{3}[/tex] × 18 = 2 × 6 = 12
Hence
A : B : C = 5 : 18 : 12
Answer:
5:18:12
Step-by-step explanation:
5:18
_:6:4 --> since you multiply 6 by 3 to get 18, multiply 4 by three to get the A:B:C ratio.
5:18:12
when h is 2, is the following statement true: 6h + 9 < 20
Answer:
False
Step-by-step explanation:
12+9<20
21≮20
False
State if the two triangles are congruent. If they are, state how you know. (AAS, ASA, SAS, SSS, or HL)
Answer:
kn
Step-by-step explanation:
k,n
Casey is deciding which of two landscapers to hire. Each landscaper charges an hourly rate plus a fee for each job. Casey correctly wrote and solved a system of linear equations by substitution. In his work, he substituted an expression for one variable and solved for the other. This resulted in the equation 5 = 20. What can Casey conclude? One landscaper charges $20 for 5 hours of work. One landscaper’s hourly rate is $15 lower than the other landscaper’s. Both landscapers charge the same hourly rate and the same fee per job. Both landscapers charge the same hourly rate, but not the same fee per job.
Answer:
Both landscapers charge the same hourly rate, but not the same fee per job.
Step-by-step explanation:
Answer:
Both landscapers charge the same hourly rate, but not the same fee per job.
Step-by-step explanation:
I took the test and got it correct
If a=6 and b=24 what is (a+b) b is squared
Answer:
the correct answer is 582
Answer:
582
Step-by-step explanation:
B²= base×base
The base is 24
24 ×24 = 576
When you add 6 to 576 you get 582.
I hope this is correct. Sorry if it is wrong.
A building 78 feet tall casts a shadow 64 feet long. Find the measure of the angle of elevation of
the sun?. Draw a right triangle and round to the nearest tenth of a degree.
Answer:
50.6°
Step-by-step explanation:
The reference angle = angle of elevation [tex] (\theta) [/tex]
Side opposite to the reference angle = 78 ft
Adjacent side = 64 ft
Applying trigonometric ratios formula, we would have:
[tex] tan(\theta) = \frac{opposite}{adjacent} [/tex]
Plug in the values
[tex] tan(\theta) = \frac{78}{64} [/tex]
[tex] tan(\theta) = 1.21875 [/tex]
[tex] \theta = tan^{-1}(1.21875) [/tex]
[tex] \theta = 50.6 [/tex] (nearest tenth)