Answers
The solution of the system belongs to -1 ≤ x ≤ 1, -1 ≤ y ≤ 1.
Given a system of the equations:
x/3 + y/2 = 1/3 .... (1)
(5x)/6 - (3y)/4 = 1/6 ....(2)
Multiply 5/2 to equation (1) then subtract from equation (2), we get,
(5y)/4 + (15y)/8 = 5/6 - 1/6
(10y + 15y)/8 = 4/6
(25y)/8 = 4/6
25y = 4/6 x 8
y = 32/150
y = 0.21
To find the value of x,
x/3 + 32/300 = 1/3
x/3 = 1/3 - 32/300
x = 3(1/3 - 32/300)
x = 1 - 32/100
x = 0.68
From the given choices,
-1 ≤ x ≤ 1, -1 ≤ y ≤ 1.
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Related Questions
Suppose a class has 14 redheads, 8 brunettes, and 6 blondes. What is ratio of blondes to total students? Write your answer in simplest form
Answers
Answer:
3:14
Step-by-step explanation:
The total number of students in the class is 28 and 6 of them are blondes so it would be 6:28 but since its asking for the simplest form it should be 3:14
(Divide both numbers by 2)
Hope this helps!!
find the quotient 3^15 / 3^3
Answers
Answer:
531441 OR 3¹² is the answer.
Step-by-step explanation:
3¹⁵/3³
=> 3¹⁵⁻³
=> 3¹²
=> 531441
Therefore, 531441 OR 3¹² is the answer.
Hoped this helped.
10.) *
12
Sam ate 2/8 a pizza for dinner.
Then he ate 1/4 of the original pizza for lunch the next day. How much pizza is left
pizza for lunch the next day. How
much pizza is left
Answers
Answer:
4/8 (2/4)
Step-by-step explanation:
1/4 is 2/8
He ate 2/8 pizza for dinner
Then he ate 1/4 (2/8) the next day
So he has 4/8 (2/4) pizza left
pls hurry will mark brainliest if you show work pls
x + 10 = - x + 28
Answers
Step-by-step explanation:
2x = 18
Divide both sides by 2
x = 9
pls help what is the answer
Answers
Please answer this ASAP
Solve for x.
2x−4=6−3x
A: x= -0.4
B: x= 2
C: x= -2
D: x= 0.4
Answers
Answer:
x = 2
Step-by-step explanation:
First, let's write out our equation:
[tex]2x-4=6-3x[/tex]
I want to isolate x on one side, so first, I'll add 4 to both sides to remove the -4 from next to 2x:
[tex]2x-4+4=6-3x+4\\2x=-3x + 10[/tex]
Notice that I combined like terms with the -4 and 4 (to get 0) and the 6 and 4 on the right side (to get 10). Next, I'll add 3x to both sides:
[tex]2x + 3x = -3x + 3x + 10[/tex]
And then I'll add like terms:
[tex]5x=10[/tex]
Now, all we have to do is divide both sides by 5:
[tex]5x/5=10/5\\x=2[/tex]
And there's our answer. Hopefully that's helpful! :)
solve the following quadratic equation
2×2-x=21
Answers
[tex]2x^2-x=21\\\\\implies 2x^2 -x -21 =0\\\\\text{Apply quadratic formula},~ x = \dfrac{-b \pm \sqrt{b^2 -4ac}}{2a}\\\\\text{In this case,}~ a =2 , b =-1, c =-21}\\\\\implies x = \dfrac{-(-1) \pm \sqrt{(-1)^2 - 4\cdot 2 \cdot (-21)}}{2(2)}\\\\\implies x =\dfrac{1 \pm \sqrt{169}}{4}\\\\\\\implies x = \dfrac{ 1 \pm 13}4\\\\\\\text{Hence,}\\\\x =\dfrac{1+13}4 = \dfrac{14}4 = \dfrac 72\\\\\text{or}\\\\x =\dfrac{1-13}4 = -\dfrac{12}4 =-3[/tex]
Answer:
x1=7/4, x2=-3
Step-by-step explanation:
[tex]2x^{2} - x - 21 = 0\\x1,2 = (1±\sqrt{-168-1})/4\\x1,2 = (1±13)/4\\x1 = 14/4 -> x1 = 7/2\\x2 = -12/4 -> x2 = -3[/tex]
Please answer number 1.
I have to do 2 pages of homework I need this done I have school tomorrow..
Have no idea how to do this. Please help I beg you.
Answers
Answer: The two specific conjectures are in the first image, and the two general conjectures are in the second image.
-12 + 2a = -6(1 + a) + 8a
Answers
Answer is 0 = 6
Jemma and Debra work as consultants.
They both get hired for a job. Jemma
charges a fee of $15 plus an additional
$22 per hour. Debra charges $20 per
hour. Write an expression that
represents how much money their
employer will have to pay both of them
after x amount of hours.
Answers
Answer:
22x+15=20x
Step-by-step explanation:
Jemma requires 22 dollars per hour, plus a 15 dollar original fee. Debra requires a 20 dollar fee per hour.
Answer:22x+15=20x
Step-by-step explanation:
Ok so 0.5 x 10^5 = ? What is the answer? The 5 is little and its on top please i don't know how to explain.
Answers
Answer:
50,000
Step-by-step explanation:
The little 5 is called an exponent, so it would be 0.5*10^5.
Ten to the fifth power. you can take the ten and do this. 10x10x10x10x10. The answer would be fifty thousand
Convert the binary number 10101 to its base 10 equivalent.
12
21
22
31
Answers
[tex]\\ \sf\Rrightarrow (10101)_2[/tex]
[tex]\\ \sf\Rrightarrow 1\times 2^0+0\times 2^1+1\times 2^2+0\times 2^3+1\times 2^4[/tex]
[tex]\\ \sf\Rrightarrow 1+4+16[/tex]
[tex]\\ \sf\Rrightarrow (21)_{10}[/tex]
Done!
HELP! Jessica edits the school yearbook. She says the the dimensions of the student photo are proportional to the dimensions of the small photo, medium photo, and large photo found throughout the yearbook. Is she correct? Explain your reasoning.
Answers
Answer:
no
Step-by-step explanation:
The ratio of width to height for the different photos are ...
student: 1 : 3/2 = (2/2):(3/2) = 2 : 3
small: 2 : 5/2 = (4/2):(5/2) = 4 : 5
medium: 4 : 5 . . . (same as small)
large: 8 : 10 = 4 : 5 . . . (same as small and medium)
The small, medium, and large photos all have proportional dimensions, but those are not proportional to the dimensions of the student photo.
S/O: sqdancefan
Aliya works as a bar tender in a very renowned restaurant. If he works for 12 days and earns $ 1296.84.How much does he earn per day.
Answers
Step-by-step explanation:
1296.84 / 12 = $108.07 earned per day
Additive inverse of -0.5
Answers
Answer:
0.5
Step-by-step explanation:
If you add 0.5 to -0.5, it will equal 0.
Given the set of domain D = {-3, -2, -1, 0, 1, 2, 3}
Construct /Do the following:
1. Set of ordered pairs such that the range is one less than the domain.
2. Construct table of values such that the range is 2 more than the domain.
3. Write the equation for numbers 1 and 2.
4. Graph numbers 1 and 2 on separate coordinate plane.
Answers
Given the domain of values D = {-3, -2, -1, 0, 1, 2, 3}
1) If the set of range is one less than the domain, the required range will be:
Range = {-4, -3, -2, -1, 0, 1, 2}
2) If the set of range is 2 more than the domain, the required range will be:
Range = {-1, 0, 1, 2, 3, 4, 5}
The table of values is given as:
x y
-3 | -1
-2 | 0
-1 | 1
0 | 2
1 | 3
2 | 4
3 | 5
2) For equation 1, we will use the coordinate points (0. -1) and (1, 0)
The equation in slope-intercept form is given as y = mx + b
m = 0-(-1)/1-0
m = 1/1 = 1
Since the y-intercept is at (0, -1), hence b = -1
Substitute the given value into the formula:
Recall that y = mx + b
y = 1x + (-1)
y = x - 1
Hence the equation 1 will be y = x - 1
For equation 2, we will use the coordinate points (-1, 1) and (0, 2)
The equation in slope-intercept form is given as y = mx + b
m = 2-1/0-(-1)
m = 1/1 = 1
Since the y-intercept is at (0, 2), hence b = 2
Substitute the given value into the formula:
Recall that y = mx + b
y = 1x + 2
y = x + 2
Hence the equation 2 will be y = x + 2
4) The graph of each equation on a different coordinate plane is attached.
Learn more on graphs and functions here: https://brainly.com/question/11740855
i need help on all of this please
Answers
Answer:
Step-by-step explanation: the answer is 69-123
In the triangle, x = 3. Find y.
A) y = 6
B) y = 7
y= V3
D) y= 3.72
Answers
Answer:
Below.
Step-by-step explanation:
Using Pythagoras theorem, let's find y.
=> y² = 3² + 3²
=> y² = 9 + 9
=> y² = 18
=> y = √18
=> y = 4.24 (Estimated)
Unfortunately, there is no options of 'y = 4.24'. Please re-check the options you posted.
Hoped this helped.
PERIMETER PLEASE HELP
Answers
Answer:
164 round = 160
your answer now can you please help me
Step-by-step explanation:
The cost of paving a square room at the rate of RS.15 per m2 is Rs.1500. What is the Area and the Perimeter of the room?
Answers
hope it helps you...................
....
..
The area of the room is equal to 100 m² and perimeter is 40m
What is Area?The area is the space covered by the object. It is the region occupied by any shape. While measuring the area of a square, we consider only the length of its side. All sides of a square are equal; hence, its area is equal to the square of the side and the perimeter of a square = 4 × side units.
Given here: Unit rate of painting per meter square=15 and it cost 1500 in total
Thus Area = 1500/15
=100 m²
Then a²=100 and a=10
∴Perimeter of the square room is = 4×10
=40 m
Hence, The area of the room is equal to 100 m² and perimeter is 40m
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What is the estimated difference between 7 6/11−5 13/15?
NO LINK OR FILESSSS PLZZZZZZZZZZZZ
Answers
Answer:
1 1/2
Step-by-step explanation:
7 6/11 is close to 7 1/2
5 13/15 is close to 6
7 1/2 - 6 = 1 1/2
Help please.........
Answers
Is long as it is a straight line, it is linear, if it is curvy line, it is nonlinear
Calculate the value of x
Answers
Answer:
x=15
Step-by-step explanation:
360-330=30
30/2=15
x=15
hope that helps
please mark as brainliest if correct
thank you
wahts the gcf and lcm of 18 and 30
Answers
18, 36, 54, 72, 90.
30, 60, 90, 120.
Already we notice that 90 is the smallest multiple that is evident in both numbers. So 90 is your LCM.
Now for the GCF, we want to begin by creating a factor tree for 18 and 30. I found one on the internet so it’s easier to view.
When finding the GCF, you want to circle all the prime numbers you have, so in this case, for 18, we have 2 x 3 x 3. They’re all prime.
For 30, we have 2 x 3 x 5. They’re all prime.
If we now circle the numbers that are common in both so we have (2) in 18 and 30, and we have (3) in 18 and 30. We are left with 5 and 3, ignore them for now. Because we managed to circle 2 and 3, if we multiply them together, we get 6. So the GCF of 18 and 30 is 6. And the LCM of 18 and 30 is 90.
Sorry if this sounds confusing, i tried my best.
original price of a cd is 12.50. what is the price with a discount of 39%
Answers
Answer:
original price of a cd is 12.50. what is the price with a discount of 39%
Step-by-step explanation:
Find the slope for (3,0) and (4,1)
Answers
Answer:
The slope is 1
Step-by-step explanation:
the formula for finding slope is : y2-y1/x2-x1
2. Subsitute: (1)-(0)/(4)-(3) = 1/1 = 1
Therefore, the slope is 1.
May I please receive help?
Answers
Please help!! markup and markdown word problems.
1. Andrew paid $10 for a burger. The burgers went on a sale and there was a discount of 20%. What was the sale price of the burgers?
2. Abby Matthews, store manager for Macy’s, does not know how to price a refrigerator that cost $900. She knows her boss wants a %140 mark up on the cost. Help Abby markup the cost of refrigerator.
Answers
Answer:
12, 1260
Step-by-step explanation:
Andrew paid $10 for a burger. The burger had a discount of 20%. This means that the $10 is 80% of the original price.
100% - 80% = 20%
To find the original price, you can multiply by 120%
10 * 120% = 12
Abby Matthews needs to mark up a refrigerator that costs $900 to 140% of the original price. To do this, you can directly multiply.
900 * 140% = 1260
A lady is 5 years younger to her husband and he is 5 times as old as his daughter. If the daughter was 5 years old 3 years back, what is the present age of the lady? 25
45
35
30
Answers
Answer:
35
Step-by-step explanation:
5x (5+3)=40-5=35
PLZ HELP
How would you graph the solution set of x - 2 > 5?
Open circle on 7 and shaded to the right.
Closed circle on 7 and shaded to the right.
Open circle on 7 and shaded to the left.
Closed circle on 7 and shaded to the left.
Answers
Answer:
look up demos, it works like a charm everytime!
Step-by-step explanation:
hope this helps :)