Follow the directions to solve the system of equations by elimination.
8x + 7y = 39
4x – 14y = –68
Multiply the first equation to enable the elimination of the y-term.
Add the equations to eliminate the y-terms.
Solve the new equation for the x-value.
Substitute the x-value back into either original equation to find the y-value.
Check the solution.
The solution to the system of equations is?
Answer:
X= 1/2 Y= 5
Step-by-step explanation:
8x+7y=39-------------(1)--------×2
4x-14y= -68-----------(2)-------×1
16X + 14Y = 78--------(3)
4X- 14Y = -68----------(4)
Addy equation (4) and (3)
20X = 10
dividing bothsides by 20
20X/20= 10/20
X = 1/2
substitute the value of X into equation (1)
8X+7Y = 39
8(1/2)+7Y= 39
4+7Y = 39
7Y = 39-4
7Y = 35
dividing bothsides 7
7Y= 35/7
Y = 5
Which pattern below does not follow the same rule as the other three patterns? A $2$ , $4$ , $8$ , $16$ , $32$ 2, 4, 8, 16, 32, B $5$ , $10$ , $20$ , $40$ , $80$5, 10, 20, 40, 80 C $15$ , $25$ , $35$ , $45$ , $55$15, 25, 35, 45, 55 D $25$ , $50$ , $100$ , $200$ , $400$
Answer:
C. 15, 25, 35, 45, 55
Step-by-step explanation:
Each number in A, B, and D are double the previous number but C adds 10.
proportional relationships, please help!
Answer:
y = 5/2 x
Step-by-step explanation:
y varies directly with x meaning this equation : y=kx
you plug in the information given
10 = k(4) and then solve ... k = 10/4 which simplifies to 5/2
Combine the radicals 9√x-3√x-
06
O 6√x
O-6√2x
0-6
Answer:
6√x
Step-by-step explanation:
9√x - 3√x = 6√x
Which statements describe organic compounds
1+1
Organic compounds are commonly found in living things.
Organic compounds contain carbon.
Organic compounds are found in food.
What are the properties of organic Compounds?Organic compounds are defined as compounds that consist of groups of carbon atoms covalently bonded to hydrogen, oxygen, and sometimes other elements too.
Now, organic compounds are created by living things and so they are found throughout the world, in soils and seas, commercial products, and every cell of the human body.
Looking at the options and comparing to the definition above, only options A, C and E are correct.
The missing options are;
Organic compounds are commonly found in living things.
Organic compounds are not associated with or made from living things.
Organic compounds contain carbon.
Organic compounds usually lack carbon.
Organic compounds are found in food.
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The volume of a cylinder is 63pi cm cubed. If the radius is 3 cm, what is the height of the cylinder?
Answer:
height of a cylinder = V/ πr2. = 5.002 units.
Step-by-step explanation:
correct me if i wrong
A rod is cut into 8 equal pieces.what fraction of the rod does 1 piece represent
Answer:
1/8
Step-by-step explanation:
you divide 1 by 8 which is 1/8.
Ariel has a salary of $100,000 in the year 2003 and got a raise of 3.32 % every year. How much money in total will Ariel earn up through the year 2007, to the nearest dollar?
Can I get some help please
The answer is C , because the ends of the line are going from negative infinity to positive infinity
The following box plot shows the number of years during which 24 schools have participated in an interschool swimming meet:
At least how many schools have participated for 1 year or less? (5 points)
6 schools
8 schools
12 schools
14 schools
The number of schools have participated for 1 year or less are below the first quartile, which is: A. 6 schools.
What is the First Quartile in A Box Plot?The first quartile marks the 25th data point of a data distribution (1/4) and is represented at the beginning of the edge of the rectangular box in a box plot.
Using the box plot given, 1 year is the first quartile mark on the box plot. So, the schools that participated for 1 year or less is 1/4 of the total schools. That is:
1/4 × 24 = 6 schools.
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On page 3, what do the words "breathed in deep" suggest? help me pls asap!
Answer: "It’s the kind of breath you will see a small baby take. A natural, inaudible inhalation that makes the belly rise and fall gently as you inhale and exhale. The diaphragm is the main breathing muscle"
Step-by-step explanation:
What is the approximate length of AB¯¯¯¯¯¯¯¯?
Answer
9.2 units
Step-by-step explanation:
A(-2,-2) and B(4,4) then the length is given by the distance formula
length = [tex]\sqrt{(4-(-2))^{2}+(4-(-3))^{2} }[/tex] units
= [tex]\sqrt{6^{2}+7^{2} }[/tex] units
= [tex]\sqrt{85\\[/tex] units
= 9.2 units
Answer:
AB ≈ 9.2 units
Step-by-step explanation:
calculate the length using the distance formula
d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = A (- 2, - 3 ) and (x₂, y₂ ) = B (4, 4 )
AB = [tex]\sqrt{(4-(-2))^2+(4-(-3))^2}[/tex]
= [tex]\sqrt{(4+2)^2+(4+3)^2}[/tex]
= [tex]\sqrt{6^2+7^2}[/tex]
= [tex]\sqrt{36+49}[/tex]
= [tex]\sqrt{85}[/tex]
≈ 9.2 units ( to the nearest tenth )
Use the Pythagorean theorem to find the distance between the points (1,1) and (5,7).?
Check the picture below.
A limited-edition poster increases in value each year with an initial value of $18. After 1 year and an increase of 15%
per year, the poster is worth $20.70. Which equation can be used to find the value, y, after x years? (Round money
values to the nearest penny.)
O y = 18(1.15)
Oy=18(0.15)
Oy=20.7(1.15)*
Oy= 20.7(0.15)
The equation that can be used to find the value of the poster after x years is y = 18(1.15)^x.
What is the equation that can be used to find the future value of the poster?The formula for calculating future value:
FV = P (1 + r)^n
Where:
FV = Future value P = initial valueR = rate of increaseN = number of yearsy = 18(1.15)^x.
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Find the value of x ..... Thanks
[tex]\dfrac{|AE|}{|AD|}=\dfrac{|AB|}{|AC|}[/tex]
Therefore:
[tex]\dfrac{10}{10+8}=\dfrac{x}{10}\\\\\dfrac{10}{18}=\dfrac{x}{10}\\\\18x=100\\x=\dfrac{100}{18}=5.555\ldots=5.\overline{5}[/tex]
So, none of the choices are correct (5.5 is an approximation).
The
Stem-and-Leaf Plot shows the amount of money each student spends
on travel per day in dollars. What is the median for the data in this graph?
Stem Leaf
A) $35
B) $48
C) $53
D) $54
Using it's concept, it is found that the median for the data given in the graph is given by:
B) $48
What is the median of a data-set?The median of a data-set is the value that separates the bottom 50% from the upper 50% of values.
In this problem, the graph has 16 values, already ordered. It is an even number, hence the median is the mean of the 8th and the 9th values, which considering the key are both 48, hence the median is of $48 and option B is correct.
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Answer:
B) $48
Step-by-step explanation:
Which lists all of the x-intercepts of the graphed
function?
O (0, 6)
O (1, 0) and (2, 0)
O (1, 0), (2, 0), and (-3, 0)
O (1, 0), (2, 0), (-3, 0), and (0, 6)
Answer:
(1, 0), (2, 0), and (-3, 0)
Step-by-step explanation:
The x intercepts are where it crosses the x axis. It crosses at (-3,0), (1,0) and (2,0)
Which expressions are equivalent to the given expression.
y^-8y^3x^0x^-2
[tex]y^{-8} y^3 x^0 x^{-2}[/tex] is equivalent to [tex]y ^{-5} x ^{-2}\\[/tex].
What is a simplification of an expression?Usually, simplification involves proceeding with the pending operations in the expression.
Simplification usually involves making the expression simple and easy to use later.
Given;
[tex]y^{-8} y^3 x^0 x^{-2}[/tex]
Simplify
[tex]y^{-8} y^3 x^0 x^{-2}\\\\y ^{-8+3} x ^{0-2}\\ \\y ^{-5} x ^{-2}\\[/tex]
Hence, [tex]y^{-8} y^3 x^0 x^{-2}[/tex] is equivalent to [tex]y ^{-5} x ^{-2}\\[/tex].
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What is the approximate area
Answer:
2827.43in²
Step-by-step explanation:
formula for area of a circle is r²π with r being the radius (30 in this case)
we can plug in 30 for r to solve for the area
30²π
900π
2827.43
that is the answer
- kan academy advance
Find the median of the following data : 9, 15, 17, 18,6, 20, 8, 5, 18, 18, 10, 5, 14, 12, 10, 7
A. 15
B. 18
C. 12
D. 11
Answer:
The median is 11.
Explanation:
Add the middle values to calculate the mean, then divide this by 2. That gives you 11.
A boat is 100 m from the bottom of a 75 m high cliff. Determine the angle of elevation
from the boat to the top of the cliff. (Round to the nearest degree.)
solve for K
7K-6
2K+14
mi
pie
In the following diagram, BC is parallel to DE.
What is the measure of Zz?
Angles are not necessarily drawn to scale.
B
C
4
103°
A
D
F
La=
42°
E
Answer: 35
Step-by-step explanation:
Angles in a triangle add to 180 degrees, so in triangle ABC, [tex]m\angle C=180-103-42=35^{\circ}[/tex].
Sp, by the corresponding angles theorem, x=35
Which values of x and y would make the following expression represent a real number?
The complete question is
"Which values of x and y would make the following expression represent a real number? (4 + 5i)(x + yi)"
The value of x and y are all points that satisfy the equation would be,(4,-5).
How to find the simplify the expression?Use the distributive property to simplify the expression.
The given expression is,
(4 + 5i)(x + yi)
4(x + yi)+ 5i (x + yi)
4x + 4yi + 5xi + 5yi^2
We know that i^2 = -1
4x + 4yi + 5xi - 5y
(4x - 5y) +i ( 4y + 5x)
In x+iy, x is the real part and y is the imaginary part.
If the given expression represents a real number it means the imaginary part must be zero.
4y + 5x= 0
All the points which satisfy the above equation are the values of x and y for which the given expression is a real number.
For eg. (4,-5)
4y + 5x
4(-5) + 5(4)
= 0
LHS=RHS, which means the point satisfies the equation and the value of x and y are (4,-5).
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Answer:
x = 4, y = -5 or the 3rd option
Step-by-step explanation:
just took the test
WS
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Question 16(Multiple Choice Worth 1 points)
(02.03 LC)
Triangle ABC is transformed to triangle A' B' C', as shown below:
B
C
-2-10
1 2 3 4
-2
3
Which equation shows the correct relationship between the measures of the angles of the two triangles?
2
Answer:
What is this supposed to mean even?
Step-by-step explanation:
The owner of a local restaurant surveyed her staff on their preference of uniform color. The results are displayed in the table below. Which pair of samples is most representative of the preference of all the staff?
Answer:
my bro you gotta put the table down
Step-by-step explanation:
Please help! This is reflections in geometry! Thank you.
If these coordinates reflected over y = -1, the resulting coordinate will be:
P = (-4, -6)
Q = (-2,-8)
R = (1, -4)
Reflection of coordinatesA reflected coordinates are mirror images of each other. From the given diagram, the coordinate points are;
P = (-4, -3)
Q = (-2,-4)
R = (1, -2)
If these coordinates reflected over y = -1, the resulting coordinate will be:
P = (-4, -6)
Q = (-2,-8)
R = (1, -4)
The y coordinates are multiplied by a factor of 2
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Does anybody know the answer to this
substitute 3 in X's place
-2x + 5 = -2(3) + 5 = -6 + 5 = -1
hope it helps...!!!
Automobile insurance with the split limits 200/300/400 will cover up to how much in bodily injury per person?
Automobile insurance with the split limits 200/300/400 will cover up to $200,000 in bodily injury per person.
What is Insurance?This is a form of protection from financial loss and is used as a means of risk management.
$200,000 medical bodily injury coverage per person, $300,000 bodily injury coverage for the entire accident and $400,000 total property damage limits.
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Paula has buttons. she gives away 28 buttons. choose the expression that shows the number of buttons paula has left.
Answer:
y = 28 - x
Step-by-step explanation:
The variable x represents how many buttons Paula had before giving 28 away and the variable y represents how many buttons she has now.