Answers
answer-C.
The solution is Option C.
The system of equations are same and they have infinite number of points
What is an Equation of a line?The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Now , the value of A is
Let the first equation be P
2x - y = 8 be equation (1)
Let the second equation be Q
4x - 2y = 16 be equation (2)
Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ ) = 2
Substituting the values in the equation , we get
Divide equation (2) by 2 , we get
2x - y = 8 be equation (1)
Therefore , the value of equation (1) = equation (2)
Hence , there are infinite number of solutions to the equations
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Related Questions
what is the simple intrest on a loan of $3,500 at 3.5% over 5 years?
Answers
PLEASE: Find The Ending Balence
1. $939 at 8% for 6 years
2. $823 at 3% for 9 years
3. $269 at 1# for 3 years
Answers
Using exponential functions, the ending balances are given as follows:
1. $1,490.07.
2. $1,073.83.
3. $358.04.
What is an exponential function?An increasing exponential function is modeled by:
[tex]A(t) = A(0)(1 + r)^t[/tex]
In which:
A(0) is the initial value.r is the growth rate, as a decimal.Item a:
The parameters are:
A(0) = 939, r = 0.08, t = 6.
Hence the balance is:
[tex]A(6) = 939(1.08)^6 = 1490.07[/tex]
Item b:
The parameters are:
A(0) = 823, r = 0.03, t = 9.
Hence the balance is:
[tex]A(9) = 823(1.03)^9 = 1073.83[/tex]
Item c:
The parameters are:
A(0) = 269, r = 0.1, t = 3.
Hence the balance is:
[tex]A(9) = 269(1.1)^3 = 358.04[/tex]
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HELP ASAP!!!!!!!!!!!!!
Answers
Answer:
34 (looking at the image im kinda unsure of my answer cuz 4*34=136 and that doesn't look like 136)
Step-by-step explanation:
angle TSU = angle PSR = 4x
from that we know that PSQ=x
so then we know PQS=180-2x
180-2x+68=180
2x=68
x=34
help please!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer: 60 local calls- SEE THE SCREENSHOTS FOR A DETAILED STEP BY STEP RESPONSE :)
also daM, that's a lot of calls
Step-by-step explanation:
Answer: 60 local calls bcz you remove the other 2 charges then divide by .25
Step-by-step explanation:
Pls help I still don’t understand this topic
Answers
Hope it helps you
A counter argument is a set of reasons used to oppose an idea or a claim. So like dogs vs cats, I prefer cats they prefer dogs. “This is why cats are better”, would be my counter argument to, “this is why dogs are better”
A rebuttal is to refute or to contradict an idea or claim. This is usually based off of e wide de and not just opinions unlike the counter argument.
Lastly textual evidence is just evidence you get from the text.
The area of the garden was 2¾yd². If the length is 1 ½ yd, find
the width.
Answers
Answer:
11/6 or 1 5/6yards
Step-by-step explanation:
Area = Length x Width
2 3/4 = 1 1/2 w
11/4 = 3/2w to change 2 3/4 into an improper fraction see this as 2 wholes plus 3/4. Another name for 2 wholes is 8/4 then add the 3/4. 8/4 + 3/4 is 11/4.
Do the same for 1 1/2 which is 1 + 1/2 change 1 into 2/2 and add it to 1/2 which would be 3/2.
Now solve for x
(2/3) (11/4) = (3/2) (2/3) w when I multiply 3/2 by its reciprocal of 2/3, I get the number 1 and 1 times w is just w.
22/12 =w. I just multiplies the tops with the bottoms. Now, divide the top and the bottom by 2 and you end up with 11/6. If I divide 11 by 6, it will go into 11 one time with 5 left over. The denominator remains 6.
Answer:
Step-by-step explanation:
The area A of a rectangle of length L and width W is A = L*W. Solving this for W, we get A/L.
Substituting 2 3/4 yd^2 for A and 1 1/2 yd for L, we get:
W = (2 3/4 yd)^2 / (1 1/2 yd)
This is equivalent to (11/4 yd^2 divided by (6/4 yd), or 11/6 yd.
The width of this garden is 11/6 yard, or 1 5/6 yard.
Write an equation to represent the situation:
"Blake owed his sister $35. He gave her a $20 bill, so
now he only owes her $15.
Answers
Answer: not 100% but 35-20=x or 35-20=15
Step-by-step explanation:
Zoe is doing a survey to find the time her classmates spend playing video games. She asks the following question:
Which student spends the most time playing video games?
Describe the data you would expect her to collect from this question. (5 points)
Answers
Answer:
Step-by-step explanation:
I would expect her to find out how long each classmate spends playing video games. Then, I'd expect her to use this information and put it into a bar chart so that she can compare the numbers and find the biggest one, or who spends the most time playing video games.
Here's a random example:
Let's say she has 4 classmates, Zoe, Robert, John, and Taylor.
Zoe: 2 hours on video games
Robert: 6 hours on video games
John: 1 hour on video games
Taylor: 4 hours on video games
Then, i'd put this information into a bar chart. The screenshot is a random reference of what a bar chart looks like.
Answer: just find how much time each one spent , put it on a chart and yh
Step-by-step explanation:
100 POINTS+BRAINLIEST 8TH GRADE MATH PT 2: Word problem involving algebraic equations on them-As usual please explain the steps simply and some things to remember. answers for points will be reported :))
Answers
Answer:
[tex]\sf a. \quad \dfrac{21}{10+x}+\dfrac{21}{10-x}=5[/tex]
Step-by-step explanation:
Formula for calculating speed:
[tex]\boxed{\sf Speed=\dfrac{Distance}{Time}}[/tex]
Therefore:
[tex]\boxed{\sf Time=\dfrac{Distance}{Speed}}[/tex]
Given values:
x = the current (in mph)Speed = 10 mphDistance = 21 milesTotal time = 5 hoursIf the boat is traveling downstream, the current (x mph) will be pushing the boat faster, and so the boat's speed will increase by x mph.
Therefore, the expression for the time it takes for the boat to travel downstream is:
[tex]\sf Time\:(downstream)=\dfrac{21}{10+x}[/tex]
If the boat is traveling upstream, the current (x mph) will be pushing against the boat and so the boat's speed will decrease by x mph.
Therefore, the expression for the time it takes for the boat to travel upstream is:
[tex]\sf Time\:(upstream)=\dfrac{21}{10-x}[/tex]
Therefore, if the total time it takes to travel downstream and upstream is 5 hours:
[tex]\implies \sf \dfrac{21}{10+x}+\dfrac{21}{10-x}=5[/tex]
To solve for x:
[tex]\implies \sf \dfrac{21}{10+x}+\dfrac{21}{10-x}=5[/tex]
[tex]\implies \sf \dfrac{21(10-x)}{(10+x)(10-x)}+\dfrac{21(10+x)}{(10-x)(10+x)}=5[/tex]
[tex]\implies \sf \dfrac{21(10-x)+21(10+x)}{(10+x)(10-x)}=5[/tex]
[tex]\implies \sf21(10-x)+21(10+x)=5(10+x)(10-x)[/tex]
[tex]\implies \sf 210-21x+210+21x=5(100-10x+10x-x^2)[/tex]
[tex]\implies \sf 420=500-5x^2[/tex]
[tex]\implies \sf 5x^2=80[/tex]
[tex]\implies \sf x^2=16[/tex]
[tex]\implies \sf x=\pm4[/tex]
Therefore, the rate of the current is 4 mph.
Finnish the sentences based off the graph
Thanks :) 30 points!!!
Answers
Answer:
Step-by-step explanation:
2. y interecept --> y = 1
3. pi
4. 1, 0
HELP NEEDED ASAP PLEASE !!!!!!!!!!
Divide 17.9 by 2.38. Round your answer to the nearest tenth.
0.7
7.5
0.8
7.6
Answers
Answer:
7.5
Step-by-step explanation:
You divide 17.9 by 2.38. That would give you 7.521008403361345.
Rounding to the nearest tenth would mean to round till you have a number right after the decimal point. When you round, you would get 7.5 since 2 isn’t enough to change the five to a six.
Hope that helps!! Have an amazing day!!
Rounding to the nearest tenth means you need to round until you get a number which is right after the decimal point. The answer would be 7.5 since the 2 isn’t enough to change 5 to 6. Hope this helps and good luck in the future
HELP ASAP!!!!!!!!!!!!!!!
Answers
Answer:
38 degrees
Step-by-step explanation:
Since angles KLO and OLM are supplementary, they add up to 180 degrees
So, angle OLM is 180-134=46 degrees
Similarly, angles OMN and OML are supplementary, so they also add up to 180 degrees
So, angle OML is 180-84=96 degrees
You also know that the angles of a triangle sum up to 180 degrees
So, 46+96+x=180
180-142=38
x=38 degrees
So 180-134= 46 and 180-84=96
So interior angles of a triangle sum up to 180
Hence x + 46 + 96 =180
X+142=180
X= 180-142
X=38
A music shop sold twenty five $50.00 radios at a profit of 8% and six $30.00 radios at a loss of 15%. How much was the profit or loss on the combined transaction?
Answers
Answer:
Step-by-step explanation:
the original price would be $80.00
50.00*0.08 = 4 50.00-4 = 46.00
46.00 for 25 radios with 4 cash back
30.00*0.15= 4.5 30.00- 4.5 = 25.50
total is 71.50
If the two spinners below are spun, what is the probability that the numbers will add to more than 7?
Answers
Answer:
0
Step-by-step explanation:
There are 12 possible outcomes, but no outcome will result in a sum greater than 7. So the probability is 0/7 = 0.
1 1
1 2
1 3
2 1
2 2
2 3
3 1
3 2
3 3
4 1
4 2
4 3
SCIENTIFIC NOTATION 8TH GRADE MATH KA- CORRECT ANSWERS ONLY PLS :)))) have a great day folks
Answers
Answer:
4.82[tex]*10^{-4}[/tex]
Step-by-step explanation:
0.000082 + 0.0004 = 0.000482 = 4.82[tex]*10^{-4}[/tex]
Answer this. Show your work. Worth 15 points. Under 1 day. URGENT.
Answers
===========================================
Work Shown:
C = circumference = 40 inches
d = diameter
[tex]C = \pi*d\\\\C \approx 3.14*d\\\\40 \approx 3.14*d\\\\\frac{40}{3.14} \approx d\\\\d \approx \frac{40}{3.14}\\\\d \approx 12.73885\\\\d \approx 13\\\\[/tex]
Be careful. Technically 12 inches is the largest diameter Tanya can use since 3.14*12 = 37.68 is under 40; while 3.14*13 = 40.82 is slightly over 40
So if I was the teacher, I would have said "round down to the nearest inch".
You know the height of a chair and the distance of the leg from the other chair, but you don’t know the length from the chair leg to the other leg you need to replace. What is the length of the leg? .Does this make seanse for project option 1 in 03.02
Answers
Answer:
a
Step-by-step explanation:
PLSSS HELP IM STILL BEING TIMEDD
Answers
The measure of angle 5 is 68° because this problem is under the category of “parallels cut by a transversal.” Under these circumstances, angles 1 and 5 are corresponding to each other. Corresponding angles are congruent, which means that they have the same measurements. This would mean that angles 1 and 5 both equal 68°.
Your final answer: B is your final answer. Since 1 and 5 are corresponding angles, they both equal 68°. If you need help, let me know and I will gladly assist you.
Answer:
68°
Step-by-step explanation:
corresponding angles are the same
The coordinates of the points A and Bare (2,5) and (-1,5) respectively. Find
the equation of the line AB
Answers
Answer:
slope:
5 - 5 / 2 - (-1) = 0
Thus, the equation of the line is y = 5
John has decided to prepare an old field for his son's new horse. the length of the field is 10 meters less than 4 times its width. He will spend $1,584 on fencing for the field at a cost of $4.80 per meter. He also needs to buy sweetgrass seed to plant in the field. The seed costs $3.98 per bag and each bag covers 460 square meters. If John has $1,600, is this enough money to purchase the fence and all the seeds needed to plant in this field?
Answers
Answer: The total money invested in the field will be $1,623.80
Step-by-step explanation:
step 1
Find the dimensions of the field
Let
x -----> the length of the field
y -----> the width of the field
p=2(x+y)
p(4.80)=1,584
p=330m
we know that
The perimeter of the field is equal to
so
330=2(x+y)----> equation A
x=4y-10 ------> equation B
substitute equation B in equation A and solve for y
330=2(4y-10+y)
165=(5y-10)
5y=165+10
y+35
Find the value of x
x=4(35)-10+130
therefore
The length of the field is 130 meters and the width of the field is 35 meters
step 2
Find the area of the field
The area of the field is
A=xy
substitute
A=(130)(35)=4,550m2
step 3
Find the number of bags of seed
Divide the area by 460
4,550/460=9.89 bags
Round up to the nearest whole number
9.89 bags=10 bags
step 4
Find the cost of the seed
(10 )(3.98)=$19.8
step 5
Find the total money invested in the field
1,584+$39.8=$1,623.80
Answer:
Step-by-step explanation:
Step-by-step explanation:
step 1
Find the dimensions of the field
Let
x -----> the length of the field
y -----> the width of the field
p=2(x+y)
p(4.80)=1,584
p=330m
we know that
The perimeter of the field is equal to
so
330=2(x+y)----> equation A
x=4y-10 ------> equation B
substitute equation B in equation A and solve for y
330=2(4y-10+y)
165=(5y-10)
5y=165+10
y+35
Find the value of x
x=4(35)-10+130
therefore
The length of the field is 130 meters and the width of the field is 35 meters
step 2
Find the area of the field
The area of the field is
A=xy
substitute
A=(130)(35)=4,550m2
step 3
Find the number of bags of seed
Divide the area by 460
4,550/460=9.89 bags
Round up to the nearest whole number
9.89 bags=10 bags
step 4
Find the cost of the seed
(10 )(3.98)=$19.8
step 5
Find the total money invested in the field
1,584+$39.8=$1,623.80
List three solutions for the inequality x ≤ 3 and give three
numbers that are not solutions.
Answers
Answer:
2
1
0
Not:
4
9
1921131
Step-by-step explanation:
x needs to be equal or less than 3. It doesn't say that x cannot be negative so any number 3 and below is fine.
Not solutions would be any number above 3 in value
The three solutions for the inequality are 1, 2, and 3.
And, the three numbers that are not solutions are 4, 5, and 6.
Used the concept of inequality that states,
A relation by which we can compare two or more mathematical expressions is called an inequality.
Given that,
The inequality is,
x ≤ 3
Now from the given inequality x ≤ 3,
The solution of the inequality is a number that is less or equal to 3.
Hence the possible three solutions for the inequality are,
x = 1, 2, 3
And, the three numbers that are not solutions are,
4, 5, and 6.
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Here is a tree diagram showing the sample space for two independent events. What is the probability of getting a total of 13 or more?
Answers
Using it's concept, there is a 0.6667 = 66.67% probability of getting a total of 13 or more.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
From the tree diagram, there are 9 outcomes, of which 6 result in a total(first node + second node) of 13 or more, hence the probability is:
p = 6/9 = 0.6667.
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Is this correct?
A boy earned $50. He saved $42 and used the rest to buy some text books. How much was each text book if he bought 4 texts books
Answers
$8 / 4 = 2
The boy bought 4 textbooks costing $2 each!
Hope this helps!
Answer:
each book was 2 dollars
Explanation:
boy earned $50 he saved 42 dollars and used the rest ($8) to buy textbooks and he bought 4 text books that means each textbook is 2 dollars how (8÷4=2) .
hope it helps and Is what ur looking for.
again i am timed. The perimeter of a rectangle is 80 centimeters. Which set of measurements could be the length and width of the rectangle? A. 20 centimeters and 18 centimeters B. 25 centimeters and 12 centimeters C. 26 centimeters and 14 centimeters D. 28 centimeters and 16 centimeters
Answers
Answer:
Option C; 26cm by 14 cm
Step-by-step explanation:
3 friends shared 48 pineapples equally among themselves. One of the friends sold all his pineapple each at $5 how much did he get from selling the pineapples?
Answers
Answer: $80
Step-by-step explanation:
Step 1: Find how much each person got
48 pineapples shared amongst 3 people
48÷3= 16 pineapples each
Step 2: Find how much he earned
16 pineapples for $5 each
Total money made: 16x5= 80
$80 in all selling his share of the pineapples
hope this helps!!
The total amount of money the friend made from selling his pineapples is $80
How much did he get from selling the pineapples?Total pineapples = 48
Total friends = 3
Number of pineapples each friend takes = Total pineapples / Total friends
= 48/3
= 16 pineapples per friend
Cost of each pineapple = $5
Total amount the friend made from selling his pineapples = Cost of each pineapple × Number of pineapples each friend takes
= $5 × 16
=$80
Hence, the friend made $80 from selling his pineapples.
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A card is chosen at random from a standard deck.
What is the probability of choosing a red card
that is not a queen?
(A) 1/13
(B) 3/26
(C) 6/13
(D) 51/52
Answers
Answer:
6/13
Step-by-step explanation:
There are 52 cards in a deck, and 26 of them are red. There are 2 red queens in a deck, so the probability of choosing a red card that is not a queen is 24/52 = 6/13.
please help me with this math question Graph this line using the slope and y-intercept:
Answers
Answer:
(8,1) (15,2) (22,3) (29,4) (36,5) (43,6)
Step-by-step explanation:
Answer:
Step-by-step explanation:
The equation y=7x+1 is written in slope intercept form. That would be:
y=mx+b
m is the slope
b is the y intercept, or where the line first is seen on the y axis.
Because b=1, the y intercept is 1.
Because m=7, the slope is 7.
STEP 1: GRAPH THE Y INTERCEPT.
Since b=1, the line crosses the y intercept when y=1. So graph y=1 on the coordinate plane.
STEP 2: GRAPH THE SLOPE
Do this by going up 7, then right 1. Because 7 is a positive number, you go up.
hope this helps !!! brainliest would be appreciated :D
100 POINTS+BRAINLIEST: 8TH GRADE MATH PT 3- Write equations by simplifying polynomials Tyyy
((offensive answers or ones for the sake of points will be reported))
Answers
Answer:
d. 3x + 6 = 26
Step-by-step explanation:
Definitions
Integer: a whole number that can be positive, negative or zero.e.g. ..., -3, -2, -1, 0, 1, 2, 3, ...Even number: an integer that is exactly divisible by two. For example, 2, 4, 6, 8 are all positive even numbers.Consecutive: following one after the other in order.
The sum of three consecutive even integers
Let x be the first even integer.
As there is a difference of 2 between consecutive even integers, the next even integer after x will be (x + 2).
Therefore, the next even integer after (x + 2) will be (x + 2) + 2 = (x + 4).
So "the sum of three consecutive even integers is twenty-six" is:
x + (x + 2) + (x + 4) = 26
To solve
⇒ x + (x + 2) + (x + 4) = 26
⇒ x + x + 2 + x + 4 = 26
⇒ 3x + 6 = 26
(Please note that there are no three consecutive even integers that sum to 26, so the problem cannot be solved).
HELP ASAP LIKE RIGHT NOW
Answers
PLEASE ANSWER: A music shop sold twenty five $50.00 radios at a profit of 8% and six $30.00 radios at a loss of 15%. How much was the profit or loss on the combined transactions?
Answers
Answer:
it's 1 the answer is
Step-by-step explanation:
how I got it I did 2 x2 is 4 and 1÷1 is 1 so if I do 1x1 it is 1