Answer:
Correct Answer is B. The first equation in B is the sum of the equations in A, while the other is obtained by multiplying the first equation in A by 2.
Step-by-step explanation:
As given,
A : 6x + 8y = -10 .......equation (1)
2x - 5y = 12 .......equation (2)
B : 8x + 3y = 2 .......equation (1)
12x + 16y = - 20 .......equation (1)
Correct Answer is B. The first equation in B is the sum of the equations in A, while the other is obtained by multiplying the first equation in A by 2.
Proof :
The first part says that ,
Sum of equation (1) of A and equation (2) of A = Equation (1) of B
Firstly , find the Sum of equation (1) of A and equation (2) of A
⇒6x + 8y + 2x - 5y = -10 + 12
⇒8x + 3y = 2
this is same as equation (1) of B
So, it satisfies the first part
The second part says that,
The equation (2) of B is obtained by multiplying the first equation in A by 2.
It means , if the equation (1) is multiplied by 2 = equation (2) of B
Firstly , if the equation (1) is multiplied by 2 , we get
2 ( 6x + 8y = -10 )
⇒ 2 ( 6x + 8y ) = 2 ( -10)
⇒ 12x + 16y = -20
this is same as equation (2) of B
So, it satisfies the second part.
What is the number of terms in this expression?
M/5 + 4 x 6
Answer:
Step-by-step explanation:
Terms are separated by addition and subtraction therefore two terms
work out the equation of the line which has a gradient of 2 and passes through the point (1,4)
please answer quick
i will mark you brainiest
gradient is 2
Step-by-step explanation:
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In the equation y=3x-4 , the y-intercept is -4
Answer:
R we suppose to graph?
Step-by-step explanation:
If it’s that u want to ask if ur correct sure the y-intercept is -4
Valerie is 30 inches tall and casts a shadow that is 12
inches long. At the same time, ber teddy bear casts a
shadow that is eight inches long. How tall is the teddy
bear?
Answer:
20
Step-by-step explanation:
30:12 is the original ratio. So if you divide both sides by the numbers' GCF of 6 you'll get a simplified ratio of 5:2. Then multiply both sides by 4 to keep the ratio constant, then you'd get 20:8. So when the teddy bear casts a shadow of 8 inches long the actual teddy bear is 20 inches tall. Hope this helps!
PLZ ANSWER QUICK IT WILL HELP A LOT!
Answer:
a
Step-by-step explanation:
The length of a rectangle is shown below: On a coordinate grid from negative 6 to positive 6 on the x-axis and on the y-axis, two points A and B are shown. The point A is on ordered pair 1, 2, and the point B is on ordered pair negative 3, 2. A straight line joins the points A and B. If the area of the rectangle to be drawn is 12 square units, where should points C and D be located, if they lie vertically below the line that connects B and A, to make this rectangle? C(−3, −2), D(1, −2) C(−3, −1), D(1, −1) C(−3, −4), D(1, −4) C(−3, −5), D(1, −5)
Answer:
Would be the answer D(1, −4)
Step-by-step explanation:
Excuse me if i'm wrong, it seems like you have the same test or almost. And this was the answer on mine. I hope it works out for you!
rationalize root 3+root 5
Answer:
- 2
Step-by-step explanation:
To rationalise multiply by its conjugate.
The conjugate of [tex]\sqrt{3}[/tex] + [tex]\sqrt{5}[/tex] is [tex]\sqrt{3}[/tex] - [tex]\sqrt{5}[/tex] then
([tex]\sqrt{3}[/tex] + [tex]\sqrt{5}[/tex] )([tex]\sqrt{3}[/tex] - [tex]\sqrt{5}[/tex] ) ← expand using FOIL
= ([tex]\sqrt{3}[/tex] )² - [tex]\sqrt{15}[/tex] + [tex]\sqrt{15}[/tex] - ([tex]\sqrt{5}[/tex] )²
= 3 - 5
= - 2
5+4−6=24 plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz
Answer:
its false
Step-by-step explanation:
5+4-6=24
9-6=24
3=24 3 does not equal to 24 so its false
Plzz help
In the figure, two pairs of congruent angles are marked. What is the value of a? Express your
answer as a common fraction.
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Answer:
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4(5x-3)=20x-3 I just need the solution
Step-by-step explanation:
Don't try to be oversmart The equation is invalid
(PLEASE HELP) Chloe has 40 lollipops of these lollipops 15 of them are blue and the rest are red what is the ratio of the number of blue lollipops to the number of red lollipops
Answer:
25:15
Step-by-step explanation:
red:blue
Answer:
15:25
Step-by-step explanation:
A cone has volume 12pie cubic inches. Its height is 4 inches. What is its radius?
A.) 6 inches
B.) 4 inches
C.) 12 inches
D.) 3 inches
Answer:
r = 3
Step-by-step explanation:
The formula of a volume of a cone
V= 1/3 pie r^2 H
r - radius
H - height
We have V = 12π in³ and H = 4 in. Substitute:
The radius of the cone is 3 inches
Volume of a conev = 1 / 3 πr²hwhere
h = height
r = radius
Therefore,
v = 12π
h = 4
12π = 1 / 3 × π × r² × 4
12 = 4 /3 r²
36 = 4r²
r² = 36 / 4
r = √9
r = 3 inches
learn more on cone here:https://brainly.com/question/9837241
equation for horizontal line at 0,-7
Complete the square and write the quadratic equation in vertex form please show steps
Answer:
Square: [tex](x-10)^{2} -68[/tex]
Vertex: (10,-68)
Step-by-step explanation:
Please hellllpppp meeeee
Answer:
23.49
Step-by-step explanation:
107.04-83.55= 23.49
Rectangle FGHJ has diagonals FH and JG that intersect at M. If FJ=−3x+5y, FM=3x+y, GH=11, and GM=13, find the values of x and y. Explain your answer.
Answer:
x=3 y=4
Step-by-step explanation:
-3x + 5y = 11
+ 3x + y = 13
Add the equation (add the 5y and y. Then add the 11 and 13). The threes cancel each other out. It then leaves us with the equation:
6y = 24
Divide both sides by 6 to isolate the variable.
y=4.
Then just substitute the variable into any of the equations above. (I chose the equation on top)
-3x + 5(4) = 11
Then solve
-3x + 20 = 11 (then subtract 20 from both sides)
-3x = -9 (then divide both sides by -3)
x=3
what is the slope of the line passes through the points (-3, -3) and (-5, -2) in simplest form help me
Answer:
Slope, [tex]m=\dfrac{-1}{2}[/tex]
Step-by-step explanation:
We need to find the slope of the line passes through the points (-3, -3) and (-5, -2).
The formula for the slope of a line is given by :
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
Put x₁ = -3, y₁ = -3, x₂ =-5 and y₂ = -2
So,
[tex]m=\dfrac{-2-(-3)}{-5-(-3)}\\\\m=\dfrac{-1}{2}[/tex]
So, the slope of the line is [tex]\dfrac{-1}{2}[/tex].
Rewrite in y=mx+b form
- (y + 2) = 2(2x + 1)
Answer:
y=-4x-4
Step-by-step explanation:
Answer:
y=-4x+4
Step-by-step explanation:
Use order of operations, PEMDAS, to put it in y=mx+b form.
Adult tickets for the school musical are sold for $3.50 and student tickets are sold for $2.50 on a given night 425 tickets were sold for $ 1237.50. Wrote a system of linear equations for the problem
Answer:
3.5x + 2.50y = 1237.50
425 = x + y
Step-by-step explanation:
number of adult tickets: x
number of student tickets: y
3.5x + 2.50y = 1237.50
( value of adult ticket [3.50]* number of adult tickets [x]) + (value of student ticket [2.50] * number of student tickets [y]) = total value (1237.50)
425 = x + y
(number of adult tickets [x]) + (number of student tickets [y]) = total (425)
Compute (4803) • 95. *
Answer:
456,285
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-5x + y = -1
10x – 2y = 2
Answer:
y= -1+5x
Step-by-step explanation:
Find the product of 2 and 3 and then take that from 8
Answer:
2
Step-by-step explanation:
2*3=6
8-6=2
2×3=6 8-6=2
Step-by-step explanation:
im was a great place
Find the area of triangle ABC.
Give your answer correct to 1 decimal
Answer:
let
a=9cm
b=8cm
c=10cm
Step-by-step explanation:
now
s=(a+b+c)/2=(9+8+10)/2=13.5
area of traingle=√(s(s-a)(s-b)(s-c))=√(13.5(13.5-9)(13.5-8)(13.5-10))=34.197cm²
Owen is planning surgery to repair the torn ligament in his knee. The total cost of the surgery is expected to be about $7,000. Owen has a $1,000 deductible and then a 20 per- cent co-pay for this procedure. How much will Owen pay for his part of the surgery?
Answer:
$2200
Step-by-step explanation:
Given that Owen has $7000 to pay, with a $1000 deductible. This means that he has, left to pay, $6000.
Again, we're told that he has 20% Co pay for the procedure. Taking 20% of $6000, we have
20/100 * 6000 = $1200. This means be has $1200 to co pay for the procedure.
Adding this newly calculated $1200 with the previously set aside $1000, we have a total of $2200. This is the price Owen will pay from his part, as part of the surgery
Ramon walks at a constant rate of 6mi/hr. Write an equation using the variables m and h to represent how many miles he would walk in any given hour.
Answer:
Key for H and M. ( H-Hour)(M-Mile)
6m= h divided by 10=6
Step-by-step explanation:
6 times 10= 60 minutes. So 1 mile every 10 minutes. This was hard, but it clicked at the end. Good luck, and remember to sub out the divided and multiply by with the signs!
Paul won 37 super bouncy balls playing hoops at county fair. At school he gave two to every student in his math class. He only had 3 remaining. How many students are in his class?
Answer:
17 students
Step-by-step explanation:
If he started with 37 and ended with 3 we have to subtract those three first so that we know how many we are actually working with so, 37-3=34. 34 balls is the amount distributed among the class. 34/2 is 17.
What is the image of the point (8,-6)(8,−6) after a rotation of 180 counterclockwise about the origin?
Answer:
(-8, 6)(-8, 6)
Step-by-step explanation:
The formula for 180 degree rotation is (-x, -y)
Rachel needs to write 3 book reports with b pages
and 3 science reports with s pages during the
school year. Write an algebraic expression for the
total number of pages Rachel will need to write.
Answer:
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Step-by-step explanation:
Which term could be put in the blank to create a fully simplified polynomial written in standard form?
8x3y2−_____+3xy2−4y3
x2y2
x3y3
7xy2
7x0y3
Answer:
x^2 y^2
Step-by-step explanation:
i took the test
always read the comments
Answer: a. x2y2
Step-by-step explanation: