Equaling both equations, it is found that the correct option that states the number of solutions you will have for the system is:
D: one solutionThe equations are:
[tex]4y + x = 16 \rightarrow x = 16 - 4y[/tex]
[tex]y = 4 - x \rightarrow x = 4 - y[/tex]
Equaling both equations for x, we have that:
[tex]16 - 4y = 4 - y[/tex]
[tex]3y = 12[/tex]
[tex]y = \frac{12}{3}[/tex]
[tex]y = 4[/tex]
[tex]x = 4 - y = 4 - y = 0[/tex]
Hence, the system has one solution, which is (0,4), and option d is correct.
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PLZ HELP ME WITH MY MATH HOMEWORK!!! SHOW WORK!!!
Explanation:
(I). 5/6 (4X+8) = (3/8) X - (1/4)
→ [{5(4X) + 5(8)}/6] = (3/8)X - (1/4)
→ [{20X + 40}/6] = (3/8)X - (1/4)
→ [{(20X/6) + (40/6) = (3/7)X - (1/4)
Now,
shift all variables fraction on LHS and constant fraction on RHS.
→ [(20X/6) - (3X/7)]= -(1/4) - (40/6)
Take the LCM of LHS denominator of 6&7 is 42.
→ [(140X - 18X)/42] = -(1/4)-(40/6)
→ [(122X)/42] = -(1/4)-(40/6)
Again take the LCM of the denominator in RHS i.e 4&6 is 12.
→ [(122X)/42] = (-12 - 80)/4
→ [(122X)/42] = (-92)/4
By doing Cross multiply the fraction, we get
→ 4(122X) = 42(-92)
→ 488X = -3 864
→ X = -3 864÷488
Therefore, X = -3864/488
Answer: Hence, the value of X for the given problem is -3864:488.
Explanation:
ii)Given algebraic equation is: 5(3p-5)+4p=5p-6(p+4)
→ 15p - 25 + 4p = 5p - 6p + 24
Shift all variables in LHS and constant on RHS.
→ 15p + 4p +6p = 25+24
→ 19p + 6p = 49
→ 25p = 49
Shift the number 25 from LHS to RHS.
Therefore, p = 49/25.
Answer: Hence, the value of P for the given algebraic equation is 49/25.
which erosional force acts alone to produce avalanches and landslides?
Answer:
Freeze thaw cycle
Step-by-step explanation:
The force which produce avalanches and landslides is gravity.
What is erosion?The process by which the Earth's surface is worn down is called erosion. Erosion and weathering are two distinct but related processes. The decomposition of materials through chemical or physical processes is known as weathering. When weathered materials like soil and rock fragments are carried away by wind, water, or ice, erosion occurs.
The Earth's three substances—air, water, and ice—continue to flow in large quantities from one location to another, making erosion an essential component of human life. The energy in their flow is extremely high. All of the small and large substances in their path break and move in the flow's direction.
The most dramatic, unexpected, and hazardous examples of earth elements being pushed by gravity are landslides and avalanches. Avalanches are abrupt snowfalls, whereas landslides are sudden rockfalls.
Massive chunks of rock move swiftly and violently when they abruptly break free from a cliff or hillside. The falling rocks are kept from slowing down by air that is trapped beneath them. Avalanches and landslides can travel at speeds of 200 to 300 km/h.
Prevention's,
Be mindful of your surroundings and keep an eye out for changes in the environment.
When it rains heavily, keep an eye out for deck or patio tilting, cracks or bulges in slopes, and drooping posts or fences. As soil steadily presses against a house and shifts windows and doors out of place, sticking windows and doors can be an indication of earth movement.
Because landslides are more likely to occur where they have already happened, look for landslide scars.
Hence, Earth materials are transported by gravity from higher elevations to lower heights. Examples of hazardous gravity-driven erosion include mudflows, avalanches, and landslides.
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Find the solution of the differential equation that satisfies the given initial condition.
The first equation is separable:
dy/dx = x/y ⇒ y dy = x dx
(provided that y ≠ 0)
Integrating both sides yields
1/2 y² = 1/2 x² + C
Given that y(0) = -8, we find
1/2 • (-8)² = 1/2 • 0² + C ⇒ C = 32
so that the particular solution is
1/2 y² = 1/2 x² + 32
Solving for y explicitly, we have
y² = x² + 64
y = ± √(x² + 64)
but since y(0) is negative, we take the negative solution:
y = - √(x² + 64)
The second equation is also separable:
du/dt = (2t + sec²(t)) / (2u) ⇒ 2u du = (2t + sec²(t)) dt
Integrate both sides:
u² = t² + tan(t) + C
Given u(0) = -6, we have
(-6)² = 0² + tan(0) + C ⇒ C = 36
and so
u² = t² + tan(t) + 36
u = ± √(t² + tan(t) + 36)
but again we take the negative root here to agree with the initial condition, so
u = - √(t² + tan(t) + 36)
Free tutor + free answer thank you give me that please
Answer:
Given that they know the law I think 82.93% of drivers obey this law
Answer:
the answer is
Step-by-step explanation:
i took the test
Tomatoes that regularly sell for $0.55 per pound are on sale for 20% off the regular price. What is the sale price?
Answer:
$o.44
Step-by-step explanation:
20/100×0.55 =0.11
0.55-0.11 = 0.44
The area of a circle is 2
square meters. Determine
the radius.
[tex]\text{Area of circle} = \pi r^2\\\\\implies 2 = \pi r^2\\\\\implies r^2 = \dfrac 2{\pi}\\\\\\\implies r = \sqrt{ \dfrac 2{\pi}} = 0.798~ \text{m.}[/tex]
Answer:
r≈.8m
Step-by-step explanation:
Formula used
A=πr2
r=√a/π =√2/π ≈.79788
rounded it is .8m
The population in a major metropolitan city is given by the formula
P(t)=5.leº.0111
where t is measured in years since 2000 and P(t) is measured in millions.
What does the model predict the population is in the year 2015?
Interpret your result with a complete sentence.
Answer:
The rat population in a major metropolitan city is given by the formula n(t)=67e^0.035t where t is measured in years since 1994 and n(t)is measured in millions.
PLEASE LAST FEW SETS OF QUESTIONS FOR SEMESTER PLEASE HELP 2
Problem 1
Answer: C) 132.6--------------------
Explanation:
a1 = 1.7 = amount of concrete for the first step
a4 = x = amount of concrete for the fourth step
Sn = sum of the first n terms of an arithmetic sequence
Sn = (n/2)*(a1 + an)
S4 = (4/2)*(a1 + a4)
S4 = 2(1.7+x)
S4 = 2x+3.4
S4 = 17
2x+3.4 = 17
2x = 17-3.4
2x = 13.6
x = (13.6)/2
x = 6.8
We need 6.8 cubic feet of concrete for the fourth step. We'll use this value to help us find the common difference d
an = nth term of an arithmetic sequence
an = a1 + d(n-1)
a4 = a1 + d(4-1)
a4 = a1 + 3d
6.8 = 1.7 + 3d
6.8-1.7 = 3d
5.1 = 3d
(5.1)/3 = d
1.7 = d
d = 1.7
Coincidentally, the common difference is the same as the first term. This won't always happen.
Now we can compute the 12th term
an = a1 + d(n-1)
a12 = 1.7 + 1.7(12-1)
a12 = 20.4
which is then used to find the sum of the first 12 terms
Sn = (n/2)*(a1 + an)
S12 = (12/2)*(a1 + a12)
S12 = 6(1.7 + 20.4)
S12 = 132.6
=============================================================
Problem 2
Answer: C) [tex]x^2 + (y-10)^2 = 225\\\\[/tex]--------------------
Explanation:
The center is (h,k) = (0,10) which is where the nozzle is located.
The distance from (0,10) to (0,25) is 15 units, so r = 15.
Also, the distance from (0,10) to (0,-5) is also 15 units.
Plug those values into the equation below.
[tex](x-h)^2 + (y-k)^2 = r^2\\\\(x-0)^2 + (y-10)^2 = 15^2\\\\x^2 + (y-10)^2 = 225\\\\[/tex]
That equation represents the boundary of the circle, which is where the water can reach.
=============================================================
Problem 3
Answer: B) 2.336 ft--------------------
Explanation:
a1 = height 1st bounce = 6.7 fta2 = height 2nd bounce = 81% of a1 = 81% of 6.7 = 0.81*6.7 = 5.427a3 = height 3rd bounce = 81% of a2 = 81% of 5.427 = 0.81*5.427 = 4.39587Or note that,
a3 = 0.81*(a2) = 0.81*(0.81a1) = a1*(0.81)^2 = 6.7*(0.81)^2 = 4.39587
which must mean,
a4 = a1*(0.81)^3a5 = a1*(0.81)^4a6 = a1*(0.81)^5This is based off the idea that [tex]a_n = a(r)^{n-1}[/tex]
So,
a6 = a1*(0.81)^5
a6 = 6.7*(0.81)^5
a6 = 2.33614554867
a6 = 2.336
you bought a bottle of water for $0.50 then you sold it for $1.00 tell whether this is an increase or decrease and give the percent value changed
Answer:
increase by 100%
Step-by-step explanation:
100% of 0.5 is 0.5 therefore 0.5+0.5=1
Jane is going to purchase a home in a gated community with a sale price of $250,000. She is able to put 20% down for her down-payment and get a mortgage for the balance. The community has Homeowner Association dues of $200 per month. The cost of home insurance is $3,600 yearly. The taxes are $1,200 yearly. She is trying to decide between a 30 year fixed loan and a 15 year fixed loan. Interest rate for the 30-year mortgage is 3.5%. Interest rate for the 15-year mortgage is 2.75%. Jane's credit score is 585.
1) What will her monthly payment be , including taxes, insurance, and other fees, rounded to the nearest dollar, if she chooses the 30 year fixed?
2) Assuming she makes monthly payments for 30 years, How much will Jane have paid total for the house at the end of the 30 years? Don't forget the down-payment.
3) What will her monthly payment be rounded to the nearest dollar, including taxes, insurance, and other fees, if she chooses the 15 year fixed?
4) Assuming she makes monthly payments for 15 years, How much will Jane have paid total for the house at the end of the 15 years? Don't forget the downpayment.
Answer:
Step-by-step explanation: this is hard
For an experiment, the temperature of a liquid must stay above 60.5°F. The starting temperature of the liquid is 88.6°F. It is placed in a cooler, which lowers its temperature 2°F each minute.
How many minutes can the liquid can stay in the cooler?
Select from the drop-down menus to correctly complete the statement. at least 14.05 /more than 14.05/ fewer than 14.05 /at most
14.05 at most
If it is saying at least, than it would be in the cooler for longer than it should be and drop below 60.5
If saying more than 14.05, it is basically the same thing where it is inside the cooler for longer than it should be
If saying at most, that means that 14.05 is the max it would be in the cooler and keeps the liquid above 60.5
Answer: im late but here you go
12/2/22
Step-by-step explanation:
What is a 15% tip on a meal that costs $38.40?
Answer:
its $5.76
Step-by-step explanation:
because $38.40 / 15 is $5.76
what percent of 75cm is 5cm
Answer:
6.67%
Step-by-step explanation:
5 / 75 = 0.066667
(0.066667)(100) = 6.67%
Mr. Schnee is refinancing his home. His loan officer has presented him with the following two offers; it is worth noting that Mr. Schnee is expecting to move back home to Michigan in five years. Using a system of linear equations, help Mr. Schnee decide which offer to take in order to maximize his benefit. Mr. Schnee has already determined that he definitely wants to refinance as he is currently paying $1,744.67.
4.5% Interest Rate for 30 years with a monthly payment of $1,266.71 with $256 Closing Costs
4.0% Interest Rate for 30 years with a monthly payment of $1,193.54 with $10,362 in Closing Costs
The option that best suits him is 4.0% Interest Rate for 30 years with a monthly payment of $ 1,193.54 with $ 10,362 in Closing Costs.
Given that Mr. Schnee is refinancing his home, and his loan officer has presented him with two offers, to determine which offer should he take in order to maximize his benefit, the following calculation must be performed:
A) 4.5% Interest Rate for 30 years with a monthly payment of $ 1,266.71 with $ 256 Closing Costs
1,266.71 x 30 x 12 + 256 = X
1,266.71 x 360 + 256 = X
456,015.60 + 256 = X
456,271.60 = X
B)4.0% Interest Rate for 30 years with a monthly payment of $ 1,193.54 with $ 10,362 in Closing Costs
1,193.54 x 30 x 12 + 10,362 = X
1,193.54 x 360 + 10,362 = X
429,674.40 + 10,362 = X
440,036.40 = X
Therefore, the option that best suits him is 4.0% Interest Rate for 30 years with a monthly payment of $ 1,193.54 with $ 10,362 in Closing Costs.
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3) Choose the graph which represents the solution to the inequality:
XS-4x + 15
A)
B)
CS
Answer: x has to be less than 5 i can’t read it but it is starting from positive 5 with the arrow going to the left
Step-by-step explanation:
Apply distributive 15+22
Answer:37
Step-by-step explanation:
What is the percent of change from 600 to 30?
Answer:
Percent change = 600 - 30 |30| × 100% = 570 30 × 100 = 1900% (increase). Where: 30 is the old value and 600 is the new value.
Step-by-step explanation:
AYO y'all can someone help wit this question urgent?
the amount in Maddies back account can be written ad a function of time. What is the equation for maddies bank account?!?
Answer:
I think this is right lol
Step-by-step explanation:
f(x)=49+x
PLEASE HELP ASAPPP!!!!!!!! (Also lemme know it you want another 3 questions for brainliest!)
Answer:
associative
Step-by-step explanation:
8x1=8
no matter how you group it the answer will always be 8
Hey there!
Identity Property FORMULA
Addition Identity Property
a + 0 = a
Multiplication Identity Property
a × b = b × a
Associative Property FORMULA
Addition Associative Property
a + (b + c)
Multiplication Associative Property
a * (b * c) = (a * b) * c
Based on that information we have above… we should say that your answer is most likely: IDENTITY
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
What is the slope of the line?
Answer:
-1/2
Step-by-step explanation:
Pick 2 points on the line, that are real whole numbers. I used (-3,-3) and (-1,-4)
Calculate the slope using rise over run. -4-(-3)=-1
-3-(-1)=2
Or, after choosing the dots, you can make a triangle
Which describes the probability of tossing an odd number greater than 5 on a number cube with faces labeled 1-6? certain, unlikely, likely, impossible
Answer:
impossible
Step-by-step explanation:
a cube with faces labeled 1-6 does not have an odd number greater than 5
GEOMETRY The perimeter of a square is four times the length of one side. If the side length of a square is 1 centimeter, then the perimeter of the square is 4 centimeters. Write an equation in point-slope form to find the perimeter y of a square with side length x.
Answer:
y-4=4(x-1)
Step-by-step explanation:
Write the equation in slop-intercept form and get the slope and point from the equationy=4x
The slope of the equation = m = 4
when x=1
y=4(1)
y=4
we get point from the equation which is (1,4)
Now we write the equation in point-slope form
point-slope formula = y-y₁=m(x-x₁)
*plot the the point we get and the slope in the formula above
= y-4=4(x-1)
An equation in point-slope form to find the perimeter y of a square with side length x is y-4=4(x-1).
Given that, the perimeter of a square is four times the length of one side.
What is the point slope form?The point slope form is used to find the equation of the straight line which is inclined at a given angle to the x-axis and passes through a given point.
The equation of the point slope form is: (y - y1) = m(x - x1)
where, (x, y) is a random point on the line and m is the slope of the line.
The equation is y=4x
If the side length of a square is 1 centimeter, then y=4
So, the coordinate point is (1, 4)
The slope of an equation y=4x is 4
Put (x1, y1)=(1, 4) and m=4 in slope intercept form
That is, slope intercept form is y-4=4(x-1)
Therefore, an equation in point-slope form to find the perimeter y of a square with side length x is y-4=4(x-1).
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Which fraction is the same as 3.375?
Answer: 27/8 or 3 3/8
Step-by-step explanation:
Write 3.375 as 3.375/1
then you take the numerator 3.375 and multiply it by 1000. Multiplying is to make 3.375 a whole number. Whatever you do to the numerator, you have to do to the denominator. So, we take 1x1000 aswell. Then our fraction would be 3375/1000.
Then, we would find the greatest common factor. The greatest common factor, or GCF, is the greatest factor that divides two numbers. To find the GCF of two numbers: List the prime factors of each number. The GCF is 125. Then you divid 125 by the fraction, (which means that you divid the number by both the numerator and denominator) and you get the answer, which is 27/8.
If the question is asking you to turn the fraction into a mixed number, you would have to find out how many times 8 going into 27. It goes in 3 times. That is ur whole number. Then do 8x3 to get 24. take 27 and subtract 24 to get 3. that 3 is your numerator. The denominator stays the same. ur final answer as a mixed number is 3 3/8.
Jennifer’s bill for lunch was $15.00 If Jennifer left a 20% tip, which proportion would BEST represent how to find how much tip she should leave?
Answer: $3
Step-by-step explanation:
15 times .20 then subtract that from 15
Answer:
$3
Step-by-step explanation:
because other people said it and especially your MOTHER SAID IT TOO HAHAHAHAHAHAHAHAHAHAHAHAHAHAHAH
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Answer:
C or the third option.
Step-by-step explanation:
The equation is y = 4x - 4
Hope this helps! Pls give brainliest!
square root of the quantity x minus 3 end quantity plus 5 equals x
Answer:
x =1 if understood it correctly
Step-by-step explanation:
Pls help me
Given the following data pairs (x, y): (1, 1.24), (2, 5.23), (3, 7.24), (4, 7.60), (5, 9.97), (6, 14.31), (7, 13.99),(8, 14.88), (9, 18.04), (10, 20.70) obtain a prediction for x = 4.5
Answer:
(5.33) the answer but I am not sure
A car is 15 feet long. A truck is 80% longer than the car. How long is the truck?
Enter numerical answer only. (just the number)
also thank you to everyone that has been helping me out when i have quetions.
also be as fast as you can cause this quiz is do in 30 min cause i am staying after school.
Answer:
27
Step-by-step explanation:
Answer:
27 feet
Step-by-step explanation:
One way to do this is: 15 * 0.8 = 12 and you can add the original 15 feet to get 27 feet in total. I converted the 80 percent to a decimal and added it back to the original number.
Another way to do this is: 15 * 1.8 and the result is also 27 feet.
Alyssa needs 4 pieces of wood that are 12 inches long to build a box. She bought a length of wood that was 60 inches long. How much extra wood does she have?
Answer:
She has 12 inches wood left
Step-by-step explanation:
can someone help me pls?
three friends each have some ribbon. Carol has 42 inches of ribbon, Tino has 2.5 feet of ribbon, and baxter has 1.5 yards of ribbon. express the total length of ribbon the three friends have in inches, feet, and yard.
____ inches = ____ feet = ____ yards
Answer:
126 inches = 10.5 feet = 3.5 yards
Step-by-step explanation:
42 in = 3.5 ft = 1.1667 yds
2.5 ft = 30 in = 0.8333 yds
1.5 yds = 54 in = 4.5 ft
42+30+54= 126 in
3.5+2.5+4.5= 10.5 ft
1.5+0.8333+1.1667= 3.5 yds
10.5/3= 3.5 yds
