Answers
2y=4x+20 Eq 1
4y=6x+24 Eq 2
Divide both sides of equation 1 by 2.
y=2x+10
Substitute value of y in equation 2.
4(2x+10)=6x+24
8x+40=6x+24
2x+40=24
2x=-16
x=-8
Put value of x in y=2x+10
y=2(-8) + 10
y=-16+10
y=-6
Answer : (-8,-6)
Related Questions
What is an equation of a line that is perpendiculauation is 2y=3x-10 and passes through -6,1?
Answers
3(y -1) = -2(x +6)
Which expression is not equivalent to 3x – 2?
A. x + x – 1 – 1 + x
B. 2x + 2 + x
C. 3 – x + 2x – 5 + 2x
D. 4x – 4 – x + 2
Answers
The expression which is not equivalent to the given expression is 2x + 2 + x. Hence, option B is correct.
What is an expression?If a mathematical operation includes at least two words that are connected by an operator and either comprise numbers, variables, or both, it is referred to as an expression.
The operations with reflection coefficients include adding, subtracting, multiplying, and dividing. In order to include terms into an expression, a mathematical operation like reduction, addition, multiplication, or division is used.
As per the given information in the question,
The given expression is,
3x - 2
Now, one by one check with given options,
A. x + x - 1 - 1 + x = 3x - 2, So, it is correct.
B. 2x + 2 + x = 3x + 2, So, it is incorrect.
C. 3 - x + 2x - 5 + 2x = 3x + 2, So, it is correct
D. 4x - 4 - x + 2 = 3x + 2, So, it is correct.
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b
just got it right on edge
A garden has four sides that are all the same length. Each side measures x+4 units. The garden's perimeter is 112 units. What is the value of x? Enter your answer in the box.
Answers
the garden's perimeter is 112 =[(x+4)+(x+4)+(x+4)+(x+4)]
112=4*[x+4]------------ > 112/4=x+4
x=(112/4)-4=28-4=24 units
the answer is x=24 units
Answer: x=24 :)
Step-by-step explanation:
A rectangle is 25 inches long and 13 inches wide. What is the area of the rectangle?
Answers
Therefore,
25 x 13 = 325
The answer is 325 inches squared.
Hope this helps! Good luck! :D
Answer:
GUYS HE MEANT 2/5 AND 1/3
Step-by-step explanation:
THE REAL ANSWER IS 2/15
Area of rectangle is given by:
where
A is the area of rectangle
l is the length of the rectangle
w is the width of the rectangle
As per the statement:
a rectangle is 2/5 inches long and 1/3 in wide
⇒
and inches
then using area formula we have;
Simplify:
inches square.
Therefore, the area of rectangle is square inches.
helpppppppppppppppppppppppppp
Answers
The last choice is the correct one
Explanation:
We can solve this question using "difference between squares" which has the following general rule:
a^2 - b^2 = (a+b)(a-b)
For the given question:
p^4 - 16 = (p^2 - 4)(p^2 + 4)
Now, p^2 - 4 can be further factorized using difference between squares, therefore:
p^4 - 16 = (p-2)(p+2)(p^2 + 4)
Hope this helps :)
If f(x) is a linear function, what is the value of n?
Answers
Answer:
Option C. 13
Step-by-step explanation:
Since f(x) is a linear function then we can rewrite the function in the form of an equation y = mx + c
where m is the slope of a line.
Since line passes through two points (3, 7), (9, 16)
Therefore m = (16 - 7)/(9 - 3) = 9/6 = 3/2
Now we know a point (16, 26.5) also lie on the line so by putting the values of m, x, and y in the equation.
y = 3x/2 + c
26.5 = 3×16/2 + c
c = 26.5 - 24 = 2.5
So the equation is y = 3x/2 + 5/2
y = 1/2(3x + 5)
If a point (7, n) lies on the line then
n = 1/2(3×7 + 5) = 1/2(21 + 5) = 26/2 = 13
Therefore n = 13 is the answer.
Please help! what is y+7=-1/7(x+4) in slope intercept form?
Answers
the equation of a line in slope intercept form is--------------> y=mx+b
where
m-----------> is the slope
b-----------> is the y-intercept point when x=0
y+7=-1/7(x+4)---------> y+7=(-1/7)x-4/7
y+7=(-1/7)x-4/7------> y=(-1/7)x-4/7-7------> y=(-1/7)x-(53/7)
the answer is
y=(-1/7)x-(53/7)-------------> this is the equation of a line in slope intercept form
m=(-1/7)=-0.14
b=(-53/7)=-7.57
y=-0.14x-7.57
see the attached figure
A reporter for the local news station wants to know how the citizens of the area feel about the current gas prices. The reporter decides to gather this information by conducting a survey at the local golf course.
Part A
Determine if the chosen sample is random or not random for the population and give and explanation why.
Part B
Come up with two different ways a random sample could be collected for this population.
Answers
PART A
While it is not entirely clear if the members of the golf club are representative of those in the area (one might be in an area where most folks golf), it is probably unlikely. Most people do not golf and (I am being very stereotypical here) most golfers are men. So the people he asks might be more likely to be men than those in the area, as an example.
PART B
To get a random sample, the reporter could instead knock on the door of 3 houses on every block in the area and ask the inhabitants of these houses about the gas prices. We, of course, don't know how big the area is or how feasible it is to knock on 3 doors per block, but here we are likely to get a random sample.
Another method could be to take a list of residents from the area and contact every 5th name on the list. In this way the people selected are random and more likely to be representative of those in the area.
Match the reasons with the statements in the proof.
Given: a | | b, m 2 = m 3
Prove: m 1 = m 3
1. a||b, m∠2 = m∠3
Given
2. m∠1 = m∠2
Substitution
3. m∠1 = m∠3
If lines are ||, corresponding angles are equal.
Answers
Prove: m 1 = m 3
1. a || b, m∠2 = m∠3
Given
2. m∠1 = m∠2
If lines are ||, corresponding angles are equal.
3. m∠1 = m∠3
Substitution
The correct matching of the statement and reasons in the proof given goes thus:
a | | b - - - - - - - - - - GIVEN m∠1 = m∠2 - - - - corresponding angles are equalm∠1 = m∠2 - - - - - SubstitutionThe first reason stated when starting a proof is 'GIVEN' as it has been stated in the question a | | b and m 1 = m 3
From the diagram, the traversal cuts the two parallel lines, creating a corresponding angle at m∠1 and m∠2
Since, we've been told that m1 = m3 in the initial statement, we assign the value of the angle m∠1 to m∠3 (substitution)
Hence, the proof.
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The ratio of the numerator to the denominator of a fraction is 2 to 3. If both the numerator and the denominator are increased by 2, the fraction becomes 3/4 . What is the original fraction? Which of the following systems of equations can be used to solve the problem? n + 4 = 3 and d + 5 = 4 3n - 2d = 0 and 4n + 2 = 3d + 2 3n = 2d and 4n + 8 = 3d + 6
Answers
(n + 2)/(d + 2) = 3/4 ------> 4n + 8 = 3d + 6
The answer is C, 3d = 2d and 4n + 8 = 3d + 6
Andy is buying carpet squares for his living room. the length of the room is 20 feet, and the width is 16 feet. each carpet square covers 4 square feet. how many carpet squares will andy need to purchase to cover the room
Answers
Answer:
andy needs 80 carpet squares
Step-by-step explanation:
Final answer:
To cover the living room, multiply the room's length by its width to get the area in square feet (320 square feet), then divide by the area that one carpet square can cover (4 square feet), resulting in 80 carpet squares needed.
Explanation:
To calculate the number of carpet squares needed to cover Andy's living room, we start by finding the area of the room. The area is the product of the length and the width, so we multiply the room's dimensions: 20 feet (length) by 16 feet (width). This calculation gives us an area of 320 square feet. Next, we divide the total area by the area that each carpet square can cover. Since each square covers 4 square feet, we divide 320 square feet by 4 square feet per square to determine the number of squares needed:
320 square feet ÷ 4 square feet/square = 80 squares.
Therefore, Andy will need to purchase 80 carpet squares to cover the living room.
How many pounds of cashew nuts worth 75 cents a pound must be mixed with 10 pounds of pecans worth $1.50 a pound to make a mixture worth $1.00 a pound? Which of the equations could be used to solve for p, the pounds of cashew nuts? 75p + 150(10) = 100(p + 10) 75(p + 10) + 150(10) = 100(p + 10) 75p + 150 = 100(p + 10)
Answers
75p + 150(10) = 100(p + 10)
Explanation:Mixture problems such as this can be solved by writing an equation that expresses the total cost of the mixture in terms of the costs of the constituents.
Here, the cost (in cents) of p pounds of cashews will be 75p. The cost (in cents) of the 10 pounds of pecans at $1.50 per pound will be 150(10). The total cost of p+10 pounds of the mixture is desired to be 100(p+10).
The equation of the 1st selection is appropriate. It tells that the prices of the contributing nuts add to give the price of the mixture, just as you want:
75p + 150(10) = 100(p+10)
The correct equation to solve for the pounds of cashew nuts, denoted as p, that must be mixed with pecans to get a mixture worth $1.00 a pound is: 75p + 150(10) = 100(p + 10).
We are trying to determine how many pounds of cashew nuts that are worth 75 cents a pound must be mixed with 10 pounds of pecans worth $1.50 a pound to create a mixture worth $1.00 a pound. Let's denote the pounds of cashew nuts needed as p. The respective values of each type of nut are included in calculating the total value of the mix. Therefore, the value of the cashews (at 75 cents per pound) plus the value of the pecans (at $1.50 per pound) should equal the value of the desired mixture (at $1.00 per pound). The correct equation to use would be:
75p + 150(10) = 100(p + 10)
To solve for p, we multiply the cost per pound by the weight for each type of nut, then equate this to the cost per pound of the mixture multiplied by the total weight of the mixture. After solving this equation for p, we will know the required pounds of cashew nuts.
factor the equation.
Answers
find factors of x² and 18 that will give you -11x
x² - 11x + 18
x -9
x -2
(x - 9)(x -2) is your answer
if you are finding the x, place each parenthesis equal to zero
x - 9 = 0
x - 9 (+9) = 0 (+9)
x = 9
x - 2 = 0
x - 2 (+2) = 0 (+2)
x = 2
x = 2, 9
hope this helps
What is the length of the side of a cube that has a surface area of 864 in2
A.11in
B.12in
C.13in
D.14in
Answers
b-----------> length of the side of cube
we know that
the area surface of cube=6*b²
A=6*b²=864 in²----------------> b=√(864/6)=12 in
the answer is b=12 in
Which pair of measurements is not equivalent?
450 mm, 4.5 m
250 cm, 2.5 m
4 km, 4,000 m
1.2 cm, 12 mm
Answers
450 mm = 45 cm
45 cm = 0.45 m
0.45 doesn't equal 4.5
Hope this helps!
Final answer:
The pair of measurements that is not equivalent is 450 mm and 4.5 m.
Explanation:
When comparing pairs of measurements, it's important to convert them to the same unit before making a comparison. Let's examine the pairs to determine which one is not equivalent:
450 mm is convertible to meters by dividing by 1000, as there are 1000 millimeters in a meter, giving us 0.45 m. This is not equal to 4.5 m.250 cm is convertible to meters by dividing by 100, since there are 100 centimeters in a meter, resulting in 2.5 m. Hence, 250 cm and 2.5 m are equivalent.4 km converts to meters by multiplying by 1000, as there are 1000 meters in a kilometer, resulting in 4000 m. Therefore, 4 km and 4000 m are equivalent.1.2 cm is convertible to millimeters by multiplying by 10, as there are 10 millimeters in a centimeter, giving us 12 mm. So, 1.2 cm and 12 mm are equivalent.The non-equivalent pair is 450 mm and 4.5 m. All other pairs are equivalent after conversion.
Alina has one-quarter of a dollar for parking money. Which amount is equivalent to her parking money?
Answers
The cost of a single ticket depends on the number of tickets, t, purchased in a group, as represented by the function C(t).
C(t) = $18.50 1 <_t < 12
$16.00 12<_t < 20
$14.50 20<_t
What is the total cost for 20 tickets?
A.)$14.50
B.)$16.00
C.)$290.00
D.)$320.00
Answers
20 · 14.50 = $290.00
Answer: C ) $290.00
Answer:
C. $290
Step-by-step explanation:
We see that,
The cost of the single ticket is given by,
[tex]C(t) =\left\{\begin{matrix} 18.50, &1\leq t\leq 12 \\ 16.00, & 12\leq t\leq 20\\ 14.50, & 20\leq t\end{matrix}\right.[/tex],
where t = number of tickets.
As, we have,
When t = 20, the value of C(t) is $14.50.
That is, the cost of 20 tickets = 20 × 14.50 = $290.
Thus, the total cost of 20 tickets is $290.
Can someone help me? Any mathematicians? I'll give you the brainliest and points
Answers
Choice A
Min value: -4
Domain: All real numbers
Range: All real numbers greater than or equal to -4
---------------------------------------------------------------------------------
---------------------------------------------------------------------------------
The given equation y = 2(x-3)^2-4 is in the form y = a(x-h)^2 + k
a = 2 is the leading coefficient
since the leading coefficient is positive, the graph opens upward meaning this graph has a min value (instead of a max). Since we know it doesn't have a max, we can rule out choice B and choice C
The min value is the value of k, which in this case is k = -4. At this point, we can see the answer is choice A. Recall that (h,k) is the vertex which is either the highest or lowest point.
Adding on more confirmation that the answer is choice A, the domain is in fact the set of all real numbers. We can replace x with any number want to get some output value for y. There are no restrictions since we don't have to worry about dividing by zero or taking the square root of a negative number.
The range is the set of y values such that y >= -4. Basically y is either -4 or larger than -4. This comes from the fact that y = -4 is the smallest output possible (aka the min value mentioned earlier)
Is this tangent to the circle?
Answers
Yes since (2*6.4)²+9.6²=256=16²
Angle A=90°
[tex] hyp^{2}= adj^{2}+opposite^{2}[/tex]
hypotenuse in here is the 16 unit length side, the adjacent is AB and the opposite is the diameter with length of 6.4 unit length.
if [tex] 16^{2} = 6.4^{2}+9.6^{2}[/tex] then m(A)= 90 degrees and it will be a tangent.
[tex]16^{2}=256[/tex]
[tex]6.4^{2} + 9.6^{2}=40.96+92.16=133.12 [/tex]
so the theorem is not applicable in this situation so the [tex]m(A) \neq 90 degrees[/tex]
therefore AB is not a tangent
According to the above graph, which industry will have 25% more growth than health services over the period from 2000 to 2010?
Answers
Industry which will have 25% more growth than health services over the period from 2000 to 2010 is Computer and data processing.
What is data?In computing, data is information that has been translated into a form that is efficient for movement or processing.
Given that, a graph titled top 10 Industries with Fastest Growth and Salary Employment 2000 to 2010.
Here,
Health services, 57;
Personnel supply services, 49;
Warehousing and storage, 45;
Water and sanitation, 45;
Computer and data processing, 86;
Management and public relations, 42;
Cable television services, 51;
Residential care, 64;
Business services, 43;
Equipment rental and leasing, 42.
So, according to the given data the highest record is given by computer and data processing.
Therefore, industry which will have 25% more growth than health services over the period from 2000 to 2010 is Computer and data processing.
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"Your question is incomplete, probably the complete question/missing part is:"
A graph titled Top 10 Industries with Fastest Growth and Salary Employment 2000 to 2010 showing percent change for the following: health services, 57; personnel supply services, 49; warehousing and storage, 45; water and sanitation, 45; computer and data processing, 86; management and public relations, 42; cable television services, 51; residential care, 64; business services, 43; equipment rental and leasing, 42.
According to the above graph, which industry will have 25% more growth than health services over the period from 2000 to 2010?
A. Equipment rental and leasing
B. Residential care
C. Computer and data processing
D. None of these
If the typical balance on Lucy's credit card is $650 and the interest rate (APR) on her credit card is 18%, how much in interest would you expect Lucy to be charged in a typical month?
Answers
General Idea:
[tex] Amount \; Charged \; in \; a \; Month \; = \; Monthly \; Interest \; Rate \; \times Typical \; Creditcard\; Balance\\ \\ [/tex]
[tex] Amount \; Charged \; in\; a\; month =\frac{18\%}{12} \times 650 \; = 0.015\times650=9.75 [/tex]
Conclusion:
Amount of interest that Lucy to be charged in a typical month is $9.75
The math test scores of Mrs. Hunter's class are shown below.48, 56, 68, 72, 72, 78, 78, 80, 82, 84, 88, 88, 88, 90, 94, 98, 100 What is the range of the scores?
Answers
Highest = 100
lowest = 48
range = 100 - 48 = 52
Multiply the binomials (x - 8) (x + 8)
Answers
= x^2 - 8x + 8x -64
= x^2 - 64
A survey determined that 7/18 of the seventh grade students at Mills Middle School preferred round chocolate candies to hard candy. When Jennifer duplicated the survey, 1/9 of the students changed their preference from chocolate candy to hard candy.
What fraction of the students in the second survey preferred round chocolate candy?
A. 8/27
B. 7/162
C. 5/ 18
D. 1/2
Answers
Answer:
The correct answer is C) 5/18
Step-by-step explanation:
In order to find this answer, you need to take the fraction that answered it on the first try and subtract the number that changed their mind.
7/18 - 1/9
In order to complete this operation, you need to give them common denominators.
7/18 - 2/18 = 5/18
Which of the following terminating decimals is equivalent to -1 3/4
?
Answers
Answer:
→ The decimal expansion of rational number is either terminating or non terminating repeating.
→If the denominator of rational number is of the form [tex]2^a \text{or} 5^b \text{or} 2^a \times 5^b [/tex] , then the decimal terminates.
[tex]\rightarrow -1 \frac{3}{4}=\frac{-7}{4}\\\\=-1.75[/tex]
Jessica paid $13.24 for a 3.41-pound bag of shrimp at one store. The following week, she paid $18.99 for a 4.96-pound bag at another store. Find the unit price for each bag. Then state which bag is the better buy based on the unit price. Round your answers to the nearest cent.
Answers
Answer: 1st answer is 3.88 lastly the 2nd is 3.83
Step-by-step explanation:
The bag with price $18.99 for a 4.96-pound bag is best to buy.
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:
Jessica paid $13.24 for a 3.41-pound bag of shrimp at one store.
So, Jessica paid for one pound of shrimp = 13.24/ 3.41
= $3.88
= $3.9
and, he paid $18.99 for a 4.96-pound bag at another store.
So, she paid for one pound = 18.99/4.96
= $3.8286
= $3.8
Hence, the bag with price $18.99 for a 4.96-pound bag is best to buy.
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The length of a rectangle is 4 cm longer than the width. if the perimeter of the rectangle is 20 centimeters, what is the area of the rectangle?
Answers
length=x+4
width=x
2(x)+2(x+4)=20
use the distributive property
2x+2x+8=20
combine like terms
4x+8=20
subtract 8 from both sides
4x=12
divide both sides by 4 to isolate x
x=3
Length=x+4=3+4= 7
Width= 3
–13.5a + 34.12b + 65.5a – 32.5b – 35.8a
A.
32.5a + 20.47b
B.
16.2a + 1.62b
C.
–18.7a – 26b
D.
1.62a + 16.2b
Answers
Answer:
the answer is C
Step-by-step explanation:
Answer:
The Answer is not C
Step-by-step explanation:
if you simplify your problem, it should not come out as C. if so, you did it wrong.
Francis have 5 more dollars than Julia together they have at most $45 let X represent the amount of money francis has. Which inequality can be used to find the possible amounts of money that francis has?
Answers
the answer is francis has $27.5 and julia has $17.5 you find this by 45 and dividing it by 2 then get on half and add 5 and with the other half subtract five
write fifty-seven and one hundred forty-two thousandths in standard form.
Answers
Fifty-seven and one hundred forty-two thousandths in standard form is 57.142, which is the conventionally written numeric form without placeholder zeroes.
The number fifty-seven and one hundred forty-two thousandths in standard form is written as 57.142. The standard form of writing numbers is also known as conventional notation, which means writing out the number as it is normally seen and used. To convert a number into standard form, you place the decimal point after the last non-zero digit and write out the number without any placeholder zeroes.