The correct option is B. (1,4).
Given equations,
[tex]2x=-y+6....(1)\\-4x+3y=8....(2)[/tex]
We have to find the solution of the given system of equations.
Equation 2 can be written as,
[tex]-2\times(2x)+3y=8\\[/tex]
Now by substitution method, putting the value of [tex]2x[/tex] from Equation (1) in above equation, we get
[tex]-2\times(-y+6)+3y=8\\2y-12+3y=8\\5y-12=8\\5y=20\\y=4[/tex]
Now putting the value of y in equation 1 we get,
[tex]2x=-4+6\\2x=2\\x=1[/tex]
Hence the solution of the given system of equation will be (1,4).
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help me Kaite bought 3 DVD's for $ 45. What was the cost of each DVD's
Answer:
45/3 = 15
They each where $15
Hope that helps
Step-by-step explanation:
Answer:
$15
Step-by-step explanation:
All you need to do is divide 45 by 3 and you get 15
can someone help me figure this out
Answer:
b ≥ 8
Step-by-step explanation:
b + 4 + 2(-2b + 4) ≤ -12
b + 4 - 4b + 8 ≤ -12
-3b + 12 ≤ -12
-3b ≤ -24
b ≥ 8
find measure of angle b
Answer:
9. b=120 8. b=43 11 b=84 12 b=23
Step-by-step explanation:
number 9 the angle is equals to 189 number 10 they're both the same and 11 is equal to 180, 12 the angle is equal to 90
question 19 of the attachment below
Answer:
The proof of area is [tex]\frac{3\sqrt{3} }{2} (p^{2}-1)x^{2}[/tex] is done
Step-by-step explanation:
Area of regular hexagon[tex]=6\times[/tex] Area of equilateral triangle
Area of regular hexagon ABCDEF with side [tex]x[/tex]
[tex]=6\times \frac{\sqrt{3} }{4} x^{2} \\\\= \frac{3\sqrt{3} }{2} x^{2}[/tex]
Area of regular hexagon FGHIJK with side [tex]px[/tex]
[tex]= \frac{3\sqrt{3} }{2} (px)^{2}\\\\=\frac{3\sqrt{3} }{2} p^{2}x^{2}[/tex]
Area of shaded region
[tex]=\frac{3\sqrt{3} }{2} p^{2}x^{2}-\frac{3\sqrt{3} }{2} x^{2}\\\\=\frac{3\sqrt{3} }{2} (p^{2}-1)x^{2}[/tex]
In IJK, i = 40 inches, j = 80 inches and ZK=92°. Find ZJ, to the nearest degree.
Answer:
61.9
Step-by-step explanation:
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Answer:
62°
Step-by-step explanation:
The law of cosines is used to find the length of side k:
k² = i² +j² -2i·j·cos(K)
k² = 40² +80² -2·40·80·cos(92°) ≈ 8223.3568
k ≈ 90.6827 . . . . . . . take the square root
Then the law of sines is used to find angle J.
sin(J)/j = sin(K)/k
J = arcsin(j/k·sin(K)) = arcsin(80/90.6827·sin(92°)) ≈ 61.84°
J ≈ 62°
Solve please in need of help
Answer:
not clear and I don't know the answer
The school band sold T-shirts for a fundraiser. They earned $6 profit on each T-shirt minus $4 for flyers. Give verbal description relating the number of T-shirts and the profit. Find the profit for selling 30 T-shirts
The school band could have a profit of $ 60 for selling 30 T-Shirts.
For the sale of each T-shirt the school band have a net profit of $ 6, of which $ 4 are discounted by concept of flyers and, thus, this band has a final profit of $ 2 for the sale of a T-shirt. The total profit for T-shirt sales equals the product of number of T-shirts sold and the final profit for each T-shirt sold.
Hence, the profit for selling 30 T-shirts is shown below:
[tex]C = (\$\,2)\cdot (30)[/tex]
[tex]C = \$\,60[/tex]
The school band could have a profit of $ 60 for selling 30 T-Shirts.
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I need help please :(
Answer:
x = 7
Step-by-step explanation:
Given:
∠DEF = 117°
∠DEG = (12x + 1)°
∠GEF = (5x - 3)°
Find:
value of x
Computation:
∠DEF = ∠DEG + ∠GEF
117° = (12x + 1)° + (5x - 3)°
117° = 17 x - 2
x = 7
Answer:
7
Step-by-step explanation:
(12x + 1) + (5x - 3) = 117
17x - 2 = 117 Combine like terms
17x = 119 Add 2 to both sides
x = 7 Divide both sides by 17
A piece of timber is
x
cm long.
How long would 3 pieces of timber be put together in a line?
Answer:
3x cm long.
Step-by-step explanation:
If one piece is x cm
and there are 3 together, presumeabley the same length
then you'd just need to multiply the length 3 times, therefore 3x respresents multiplying x 3 times.
Have a good day!
Answer:
3x cm long
Step-by-step explanation:
3 times x is 3x
the perimeter of a rectangular field is is 84m.If the width of the rectangle is 6m less than the length,then find the dimensions?please friends help!!!!!!!!
Answer:
24
**Solving Steps**
2 x (2 x X - 6) = 84
4x-12=84
84+12=96
96/4 = 24
Hope it helps.
the elements of the periodic table are numbered from 1 to 118 and Atom's place on the table is determined solely by which property A mass number B number of protons C number of neutrons D number of electrons
The atom's place on the table is determined solely by its number of protons
A periodic table is a table containing different elements and arranged across the periods and groups of the table. The elements in a periodic table are numbered and arranged based on their atomic number.Since the atomic number is equal to the number of protons an element contains, hence we can conclude that the atom's place on the table is determined solely by its number of protons
Learn more about periodic table here;https://brainly.com/question/14514242
Answer:
number of protons
Step-by-step explanation:
Find the surface area of the cuboid.
Answer:
62 cm²
Step-by-step explanation:
The surface area (SA) is the sum of the areas of the 6 faces.
The opposite faces are congruent, then
SA = area of front/ back + area of top/ bottom + area of 2 sides
= 2(5 × 3) + 2(5 × 2) + 2(3 × 2)
= 2(15) + 2(10) + 2(6)
= 30 + 20 + 12
= 62 cm²
the amount in Jamaican dollars one would get for US $200
200 US Dollar is 30837.86 Jamaican Dollar.
If y varies directly as x, find y:
{(8, -12). (20, y)}
[tex]\\ \sf\longmapsto x_1y_2=x_2y_1[/tex]
[tex]\\ \sf\longmapsto 8y=-12(20)[/tex]
[tex]\\ \sf\longmapsto 8y=-240[/tex]
[tex]\\ \sf\longmapsto y=-240/8[/tex]
[tex]\\ \sf\longmapsto y=-60[/tex]
Help pretty please it’s 4:30 rn and I’m trying to get this done
Answer:
8b is 1.5*10^4=1.5*10000=15000
9. is 100*1.1=110meters to 100 yards
Hope This Helps!!!
Answer:
91
Step-by-step explanation:
Dan earns £367 over the course of a five-day week. How much is that per day?
Divide total by number of days:
367/5 = 73.40 per day
evaluate the expression for the given value of x.
0.8x+5.4 for x= -3
Answer:
3.0
Step-by-step explanation:
0.8 times -3 = -2.4
5.4-2.4=3.0
So the answer is 3.0
Can someone help me?
Answer:
d
Step-by-step explanation:
Which of the following is NOT a type of fat?
Saturated
Unsaturated
Trans-Fats
Fiber
Answer:
Fiber
Step-by-step explanation:
Fiber is a carbohydrate and not a fat ------ it is all the polysaccharides that humans can't digest.
Answer:
fiber is not a type of fat
Write the equation from the line whose slope and the point through which it passes are given. Express the equation in point-slope form. (8,-1) and slope m=-3
Answer:
y + 1 = 3(x - 8)
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
Here m = 3 and (a, b ) = (8, - 1 ) , then
y - (- 1) = 3(x - 8) , that is
y + 1 = 3(x - 8)
in the diagram m∠UYF= 42 1/8
What is ∠FYT?
Step-by-step explanation:
FYT and UYF are supplementary angles (together they cover all angles around Y on one side of the line TU, and that's is in total 180°).
so,
FYT = 180 - 42 1/8 = 137 7/8°
as 180 - 42 = 138, and then we subtract another 1/8. that gives 137 7/8.
M is directly proportional to r³ when r=4, m=160.work out the value of r when m=20
Point R has coordinates of (5.-6). What the coordinates of R' after being reflected across the y-axis?
Answer:
R' (- 5, - 6 )
Step-by-step explanation:
Under a reflection in the y- axis
a point (x, y ) → (- x, y ) , then
R (5, - 6 ) → R' (- 5, - 6 )
Answer:
-5, -6
Explanation:
5, -6 is in quadrant 4, (x, -y) so if it were to be reflected over the y- axis, it would got to quadrant 3 (-x, -y).
Hope this helped :)
Am I right? Should I've to add more info?(only about Rectangle and Square)
Answer:
Yh its right.
Step-by-step explanation:
Have a great day!
Answer:
yeah it is correct
Step-by-step explanation:
and well hruu
The angle measures of an isosceles triangle are shown. Find the value of w.
Answer:
w= 7
Step-by-step explanation:
8w + 9w - 1 + 62 = 180
17w + 61 = 180
17w = 119
w = 7
Find the volume of the sphere.
Answer:
4.19
Step-by-step explanation:
v=4/3(pie x r^3)
v=4/3(pie x 1^3) = 4.18879
v=4.19
Help!! NO SPAM!!!! I will mark brainliest. A phone banking password consists of 2 letters followed by 4 digits. The letters B and X are not used, and the last digit cannot be 0. How many different passwords are possible?
In this exercise we have to use the combination knowledge to calculate the different possibilities, so we have to:
5184000 possible ways
in this way, when we deal with possibilities it is the same as talking about multiplication, so we have that:
[tex]24*24*10*10*10*9=5184000[/tex]
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Alicia is a nurse.
In 2016, she earned a monthly salary of £1750
In 2017, she was awarded a 2% pay increase on her monthly salary.
Given that in 2017 Alicia worked 45 hours per week for 48 weeks,
work out her average pay per hour for the year.
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Thanks
Answer:
See below
Step-by-step explanation:
2% increase on 1750=
1750 * 1.02 = 1785
1785 per month gives 1785 * 12 = 21420 per year.
Divide 21420 by 48 weeks = 446.25 per week
Divide 446.25 by 45 hours = 9.92 per hour
Multiplication is the process of multiplying. Alicia's earnings per hour for the year 2017 is £9.92 per hour.
What is multiplication?Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.
The monthly salary of Alicia in 2016 was £1750, which was increased by 2% in 2017. Therefore, the salary in 2017 will be,
(100%+2%) of £1750
= 1.02 × £1750
= £1785 per month
Since a year has 12 months, therefore, the earnings for the complete 2017 year will be,
Total Earning = 12 × £1785 = £21,420
As given Alicia worked 45 hours per week for 48 weeks, therefore, the number of hours will be
Number of hours = 45 hours × 48 weeks = 2,160 hours
Now, the earnings per hour can be written as,
Earning per hours = £21,420/2,160 hours = £9.92/ hour
Hence, Alicia's earnings per hour for the year 2017 is £9.92 per hour.
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Pls help me 15 points total
15a. Cindy can make $100 in four days babysitting. At that rate, how many day will it take
her to make $425.
Answer:
4.2
Step-by-step explanation: