The value of x is 2 and y is -7/2 in the equations 2y = x + 9 and 2y − 11 = 2x.
Define elimination method.The elimination approach involves taking one variable out of the system of linear equations by utilizing addition or subtraction together with multiplication or division of the variable coefficients. Because it allows us to remove one of the variables and solve a more straightforward equation. The elimination approach may also be referred to as the addition method or the linear combination method in some texts. This is due to the fact that we'll be adding two equations together.
Given,
Equations,
2y = x + 9
2y − 11 = 2x
Rearranging variables and constant
Using elimination method,
x - 2y = 9
2x - 2y = 11
-----------------
x = 2
Equating x = 2 in equation 1
x - 2y = 9
-2y = 9 - 2
-2y = 7
y = -7/2
The value of x is 2 and y is -7/2 in the equations 2y = x + 9 and 2y − 11 = 2x.
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I need help please i don’t understand
9514 1404 393
Answer:
no
Step-by-step explanation:
The dimensions will be those of a rectangular mirror if the diagonal measure is the hypotenuse of the right triangle with the given side lengths.
The Pythagorean theorem would require for some width w ...
w^2 +24^2 = 30^2
w^2 = 900 -576 = 324
w = √324 = 18
A rectangular mirror with a length of 24 inches and a diagonal of 30 inches will have a width of 18 inches, not 16.
__
The attachment shows that a width of 16 inches is not consistent with a right-angle corner.
_____
Additional comment
If you reduce the given numbers to lowest terms by dividing them by 2, they become 8, 12, 15. That is, the two shortest sides are even and the longest is odd. Any set of integer dimensions for a right triangle must have an even number of odd numbers (0 or 2). These numbers cannot be a Pythagorean triple, so cannot make a right triangle.
What is 1.154701 as a rational denominator?
Answer:
Convert to a mixed number by placing the numbers to the right of the decimal over
1000000
. Reduce the fraction. Then, convert the mixed number to an improper fraction by multiplying the denominator by the whole number and adding the numerator to get the new numerator. Place this new numerator over the original denominator.
1154701/1000000
Step-by-step explanation:
27 please I’ll try to give you brainliest
Answer:
Hexogen
Step-by-step explanation:
The theoretical probability of spinning a 9 is_?
Answer:
The theoretical probability of spinning a sum of 9 is 4/36 or 1/9.
Step-by-step explanation:
Answer: 0%
Step-by-step explanation:
Please only answer this if ur not just guessing.
sally and belvedere are collecting shirt with a ratio of 4:10. if they collected 462 shirts altogether, how many shirts did sally collect?
Answer:
132
Step-by-step explanation:
the ratio for saly is 4 out of 14. so 4/14 is 0.28571429. and if you multiply that by the total collected shirts which is 462, you get 132 :)))
Simply by dividing 3/5 (-4/9) ???!!
Somebody help me pleaseee ???
Answer:
Step-by-step explanation:
4 centigrams =
milligrams
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\text{4 centigrams = [blank] milligrams}[/tex]
[tex]\mathsf{4 \times \dfrac{10}{1}}[/tex]
[tex]\mathsf{= \dfrac{4}{1}\times\dfrac{10}{1}}[/tex]
[tex]\mathsf{=\dfrac{4\times10}{1\times1}}[/tex]
[tex]\mathsf{4\times10=\bf 40}\leftarrow\large\textsf{NUMERATOR}[/tex]
[tex]\mathsf{1\times1 = \bf 1}\leftarrow\large\textsf{DENOMINATOR}[/tex]
[tex]\mathsf{= \dfrac{40}{1}}[/tex]
[tex]\mathsf{\dfrac{40}{1}=40\div1=\bf 40}[/tex]
[tex]\boxed{\boxed{\large\textsf{Answer: 4 centigrams = \huge\bf{40 milligrams}}}}\huge\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
[tex]\frak{Amphitrite1040:)}[/tex]
10 points
2. You weigh six packages and find the weights to be 29, 19, 69, 24, 64,
and 59 ounces. If you include a package that weighs 219 ounces, which
will increase more, the median or the mean?
Answer:
mean
Step-by-step explanation:
mean of six packages = (29+19+69+24+64+59)/6 = 44 ounces
Median of these six packages (19,24,29,59,64,69) = (29+59)/2 = 88/2= 44 ounces
Now, if we includes a package that weighs 219 ounces
The new mean = (29+19+69+24+64+59+219)/7 = 69
New median (19,24,29,59,64,69, 219) = 59
Hence, we say that the mean increases more than the median
EFGH is a parallelogram. Find m
Answer:
70°
Step-by-step explanation:
Sum of angles in a parallelogram is 360°
Opposite angles are equal
2(16x - 2) + 2(8x + 14) = 360°
32x - 4 + 16x + 28 = 360°
32x + 16x + 28 - 4 = 360°
48x + 24 = 360°
48x = 360 - 24
48x = 336
x = 7
m< E = 8x + 14
Substitute for x
= 8(7) + 14
= 56 + 14
= 70°
What are the roots of the quadratic?
a) -3 and 0
b) -3 and 1
c) -1 and 3
d) -1 and -3
HELP ME FIND THE OPPOSITE OF THIS PLEASE!!! I’ll mark brainliest
Answer:
-3p^7 + 8p
Step-by-step explanation:
OPPOSITE: having a position on the other or further side of something; facing something, especially something of the same type.
Resuelva y responda a la pregunta: Andrés es mayor que su hermano Alex. Dentro de 3 años, la edad de Alex será la edad que tiene ahora Andrés y, dentro 9 años, la edad de Andrés será el doble de la edad que Alex tiene ahora. ¿Qué edades tienen los hermanos?
Answer:
Andrés tiene 15 años y Alex tiene 12 años.
Step-by-step explanation:
Como el enunciado dice que dentro de 3 años, la edad de Alex será la edad que tiene ahora Andrés puedes escribir una ecuación que indique que la edad de Andrés es igual a la edad de Alex más 3:
x=y+3, donde:
x es la edad de Andrés
y es la edad de Alex
Además, como se indica que dentro 9 años, la edad de Andrés será el doble de la edad que Alex tiene ahora puedes escribir una ecuación que indique que la edad de Andrés más 9 es igual a dos veces la edad de Alex:
x+9=2y
Ahora puedes reemplazar x=y+3 en x+9=2y y despejar y:
y+3+9=2y
12=2y-y
y=12
Finalmente, puedes reemplazar el valor de y en x=y+3 para encontrar el valor de x:
x=y+3
x=12+3
x=15
De acuerdo a esto, la respuesta es que Andrés tiene 15 años y Alex tiene 12 años.
What is the perimeter of the trapezoid
Answer:12
Step-by-step explanation:
np
NI -
16
2
Which of the following is equivalent to
O 6
08
O 12
O 64
Answer:B
Step-by-step explanation:
The equivalent expression is 8.
Option B is the correct answer.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
[tex](16^{3/2})^{1/2}[/tex]
This can be written as,
= [tex]16^{3/2 \times 1/2}[/tex]
= [tex]16^{3/4}[/tex] ______(1)
Now,
16 = [tex]2^4[/tex] ______(2)
Now,
From (1) and (2),
= [tex]2^{4 \times 3/4}[/tex]
= 2³
= 8
Thus,
The equivalent expression is 8.
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I need help with this question please
Answer:
D
Step-by-step explanation:
Hector took 1 hour and 25 mintues to finish the test. (D)!
At a movie theater, a large popcorn cost $8.00 and small drinks cost $3.75 each. If you
buy d drinks and a large popcorn, what expression would represent your bill?
Answer:
large popcorn: $8
small drink: $3.75
= $8 + $3.75
= $11.75
Answer:
$11.75d
Step-by-step explanation:
add 8.00 and 3.75
you get 11.75 since U don't know how much it is for the drink, then U put d 11.75 so when U find d, you'll know that U can add it with your sum.
If x=12 and y=6x , what is the value of 8x2y ?
Answer:
13824 is the answer
Step-by-step explanation:
8*12*2*6*12
Please help, solve for x
Answer:
x = 7
Step-by-step explanation:
5(x + 5) = 10 x 6
5x + 25 = 60
5x = 35
x = 7
38=-5t²+40t+25 how would I solve for "t"?
Answer:
Step-by-step explanation:
2.
For the data in the table, tell whether y varies directly with x. If it does, write an equation for the direct variation.
A. yes; y = -1/3x
B. yes; y = x – 3.3
C. yes; y = –3.3x
D. no
Answer:
D. no
Step-by-step explanation:
im pretty sure its d. no
Find the surface area
Answer:
rectangular prism = cuboid
total surface area of a cuboid (tsa) = 2(lb+bh+hl)
l=length = 3cm
b=breadth = 6cm
h=height = 5cm
tsa = 2( 3*6 + 6*5 + 5*3 )
2( 18 + 30 + 15 )
2 * 63
= 126 [tex]cm^{2}[/tex]
hope this answer helps you.....
a triangle has a 40° angle, a 120° angle and a side 2.5 centimeters in length. which of the following statements are true about the triangle?
Answer:
C
Step-by-step explanation:
A triangle is 180 degrees so 120+40 is 160
180-160=20
does anyone wanna do my iready IM GIVING 77 POINTS OR MORE. i have 240 points in total sooooo yeah i can give a lot. its 8th grade iready.
Answer:
YAY
Step-by-step explanation:
Help?!!!!!!!!!!!!!!!!!
Answer:
A.
Step-by-step explanation:
Divide 82 by 5.25 ([tex]5\frac{1}{4}[/tex] in decimal form). [tex]\frac{82}{5.25}=15.619047619047619047...[/tex], which can be rounded to 15.6 inches , so the answer is A. Hope this helps!
Please mark me as brainliest!which line has a constant proportionality of 4
Answer:
Line A
Step-by-step explanation:
Line A has a constant of proportionality (slope) of 4.
Find the value of n in the figure below. Assume that the lines are parallel. What is the answer????
Answer:
C
Step-by-step explanation:
75= to that equation
75-15=60/2=30
n=30
If DE is the midsegment of ABC what is the value of x AND y?
Answer:
3.) x = 4.5
4.) y = 7
Step-by-step explanation:
3 is an easier one than 4. By the triangle midsegment theorem, the midsegment of a triangle will be half of the base if it is parallel to it. AB is our base, so the equation is like this!
[tex]AB = 2(ED)\\9=2(ED)\\4.5=ED[/tex]
Now for 4, it actually is pretty easy. By the same triangle midsegment theorem, we automatically know that EC and EA are congruent, and CD and DB are also congruent. Meaning y equals 7.
But another way we can determine this (the long, kinda unecessary, but useful way) is through examining the relationship that triangles ABC and EDC have! We know that they are similar triangles by SAS or AA. Meaning, their equation looks something like this...
[tex]4.5(7+y) = 9y\\31.5 + 4.5y = 9y\\31.5=4.5y\\7=y[/tex]
Like I said earlier, 7 is equal to y, but I figured I'd prove it so we are on the same page. Nothing wrong with double-checking ;)
Have a nice day. Feel free to Ask questions. Spread The Love.
What is the measurement of angle 2?
A- 20 degrees
B- 30 degrees
C- 70 degrees
D- 110 degrees
Answer:
∠ 2 = 70°
Step-by-step explanation:
∠ 2 and 70° are vertical angles and are congruent, then
∠ 2 = 70°
Help i dont know how to do it, pls explain also how did you get ur answer so i can gain information how to do it next time. Thank you