Given the system of equations, what is the solution?5x - 4y = 7x = 5 - 3/2y
9514 1404 393
Answer:
(x, y) = (61/23, 36/23)
Step-by-step explanation:
We assume you intend the equations to be ...
5x -4y = 7x = 5 -3/2yThen in general form, they are ...
5x -4y -7 = 0
2x +3y -10 = 0
The solution using the "cross multiplication method" is ...
1/(15 +8) = x/(40+21) = y/(-14 +50)
(x, y) = (61/23, 36/23)
_____
Comment on "cross multiplication method"
When the coefficients from the general form equations are written as a 2×4 array with the first and last columns the same ...
[tex]\left\{\begin{array}{cccc}5&-4&-7&5\\2&3&-10&2\end{array}\right\}[/tex]
the solution is 1/d1 = x/d2 = y/d3, where d1, d2, d3 are the determinants of successive pairs of columns.
d1 = (5)(3) -(2)(-4)d2 = (-4)(-10) -(3)(-7)d3 = (-7)(2) -(-10)(5)Fill in the blank with a number to make the expression a perfect square.
U^2 + 2u + ?
Answer:
u² + 2u + 1
Step-by-step explanation:
In the question it's asking to find the the number in the blank to make the expression a perfect square.
Let the number in the blank be 'x'.
To guess 'x' , use the algebraic identity :- [tex](a + b)^2 = a^2 + (2 \times a \times b) + b^2[/tex]
While matching the expression with identity , the expression will look like this :- u² + 2ux + x²
In the expression given in the question , it's "2u" but after matching the expression with identity , it is found to be "2ux".
⇒ x = 1 (∵ If x will be 1 , then 2ux = 2×u×1 = 2u)
⇒ x² = 1
∴ The number in the blank is 1.
1/5*5=
Plz help and hurry it grade recovery
Answer:
1
Step-by-step explanation:
Answer:
1
Step-by-step explanation:
You're welcome!
A random sample of 11 fields of rye has a mean yield of 20.1 bushels per acre and standard deviation of 7.66 bushels per acre. Determine the 80% confidence interval for the true mean yield. Assume the population is approximately normal. Round your answer to one decimal place.
Answer:
17.1≤x≤23.1
Step-by-step explanation:
The formula for calculating the confidence interval is expressed as;
CI = x ± z*s/√n
x is the mean yield = 20.1
z is the 80% z-score = 1.282
s is the standard deviation = 7.66
n is the sample size = 11
Substitute
CI = 20.1 ± 1.282*7.66/√11
CI = 20.1 ± 1.282*7.66/3.3166
CI = 20.1 ± 1.282*2.3095
CI = 20.1 ±2.9609
CI = (20.1-2.9609, 20.1+2.9609)
CI = (17.139, 23.0609)
hence the required confidence interval to 1dp is 17.1≤x≤23.1
A jar contains 13 red, 27 blue, and 20 green marbles. if one marble is drawn from the jar at random, find the probability that the marble is: red, blue, not blue, green, green or red
Answer:
The probability that a marble drawn from the jar at random is red is 21.66%, that it is blue is 45%, that it is not blue is 55%, that it is green is 33.33%, and that it is green or red is 55%.
Step-by-step explanation:
Since a jar contains 13 red, 27 blue, and 20 green marbles, to determine, if one marble is drawn from the jar at random, the probability that the marble is red, blue, not blue, green, and green or red, you must perform the following calculations:
13 + 27 + 20 = 60
Red = 13/60 = 0.2166
Blue = 27/60 = 0.45
Not blue = 33/60 = 0.55
Green = 20/60 = 0.333
Green or red = 33/60 = 0.55
Therefore, the probability that a marble drawn from the jar at random is red is 21.66%, that it is blue is 45%, that it is not blue is 55%, that it is green is 33.33%, and that it is green or red is 55%.
A pack of 4 chocolate bars costs £1.20
What is the price per unit?
what is it?
Answer:
0.30 you divided the total by the number of units which is 4
Answer:
£ 0.3
Step-by-step explanation:
Given that , a pack of 4 chocolates costs £1.20. We need to find cost of one chocolate .
We can simply use Unitary Method here ,as ,=> 4 chocolates costs £1.20 .
=> 1 chocolate will cost £1.20/4 = £ 0.3
Hence the cost of unit is £ 0.3Plsss help. giving extra points if correct.
x plus 1 > 3
The souliton is
Answer:
x > 2
Step-by-step explanation:
x + 1 > 3
Subtract 1 from both sides
x + 1 - 1 > 3 - 1
x > 2
What is the name of this circle?
Circle
Answer:
Minor Sector
Step-by-step explanation:
help fast please!!!!!!
Answer:
75
Step-by-step explanation:
7.5 x 5 = 37.5
1/2:1
37.5:74
Also, I did it :D
solve the system of equations
y= 8x + 1
y = 6x + 3
choose:
(1,9)
(4,14)
(2,4)
(0,1)
Which dilation is shown by this graph?
Need it fast!!
Will give 5 stars
The required dilation from XYZ to X'Y'Z' shown in the graph is D1/2(△XYZ)
What is dilation?Dilation is a transformation technique that changes the size and position of an object on the xy plane
From the given triangles
XZ = 6 units
X'Z' = 3 units
Determine the dilation factorDilation factor "k" = X'Z'/XZ
Substitute the given parameters
k = 3/6
k = 1/2
Hence the required dilation from XYZ to X'Y'Z' shown in the graph is D1/2(△XYZ)
Learn more on dilation here: https://brainly.com/question/10253650
Which postulate or theorem proves that AABC AXYZ?
Answer:
D. ASA
Step-by-step explanation:
In the figures given,
<A and <B in ∆ABC are congruent to corresponding angles <X and <Y in ∆XYZ in ∆XYZ.
Also, an included side AB in ∆ABC is congruent to a corresponding included side XY in ∆XYZ.
According to the ASA triangular theorem, two ∆s are congruent to each other when they have two corresponding angles in each of the triangles that are congruent to each other and an included side that is also congruent to each other.
Therefore, ∆ABC is congruent to ∆XYZ based on the ASA theorem.
What is the length of a 50-inch TV that has a width of 27 inches?
What is the area of this TV?
1. In reviewing your Summary Account Activity (#1), you notice FEES
CHARGED of $69.45. This fee was assessed on your account for the
following reasons EXCEPT... *
Answer: Annual Fee
Step-by-step explanation:
The options include:
a. Late Payment Fee
b. Balance Transfer Fee
c. Cash Advance Fee
d. Annual Fee
The reason for the fee of $69.45 charged will be due to the late payment fee which is as a result of failing to make a payment by a due date.
Other reasons for the fee include the balance transfer fee which is the charged by the lender in order to transfer an existing debt that's incurred by another lender. The cash advance fee is also another reason for the charges.
Therefore, the correct answer to the question is annual fee.
Which values are equivalent to the fraction below? Check all that apply.
38
30 끓
38
O A. 3-2
2
B. (
48
O c.
O D.
1
9
O E. 314
OF. 32
The value are equivalent to the fraction below is 3^2, the correct option is F.
What is a fraction?
A fraction represents a part of a number or any number of equal parts.
A fraction consisting of a quotient and remainder is a mixed fraction. we can convert the mixed fraction to improper fraction by first dividing the numerator by denominator and then taking the quotient as whole number and remainder as the numerator of proper fraction keeping the denominator same.
We are given that;
3^5/3^8
Now,
A. 3^-3: This is equivalent to 1/3^3 by moving the negative exponent to the denominator. Then we can simplify 1/3^3 to 1/27 by multiplying 3 by itself 3 times. This is not equivalent to 3^5 / 3^8, since 1/27 is not equal to 3^-3.
B. (1/3)^2: This is equivalent to 1/3^2 by applying the exponent to the numerator and denominator. Then we can simplify 1/3^2 to 1/9 by multiplying 3 by itself 2 times. This is not equivalent to 3^5 / 3^8, since 1/9 is not equal to 3^-3.
C. (1/3)^8: This is equivalent to 1/3^8 by applying the exponent to the numerator and denominator. Then we can simplify 1/3^8 to 1/6561 by multiplying 3 by itself 8 times. This is not equivalent to 3^5 / 3^8, since 1/6561 is not equal to 3^-3.
D. 1/9: This is equivalent to (1/3)^2 by writing it as a power of a fraction. Then we can apply the same steps as in option B and get back to 1/9. This is not equivalent to 3^5 / 3^8, since 1/9 is not equal to 3^-3.
E. 3^14: This is not equivalent to 3^5 / 3^8, since it has a positive exponent and does not have a fraction. We cannot simplify it further without changing its value.
F. 3^2: This is not equivalent to 3^5 / 3^8, since it has a positive exponent and does not have a fraction.
Therefore, by the given fraction the answer will be 3^2.
Learn more about fraction;
https://brainly.com/question/729654?referrer=searchResults
#SPJ7
HELP ME OUT
Ali bought 2 pounds of ground turkey at $2.50 per pound and 3 pounds of ground beef at $3.20 per pound What was her total cost?
Enter your answer in the box.
$
Answer:
$14.60
Step-by-step explanation:
you do 2×2.50= 5
3×3.20= 9.6
Which is a diagonal through the interior of the cube?
A cube. The top face has points A, B, D, C. The bottom face has points E, F, H, G.
Side A H
Side B E
Side C H
Side F G
Answer:
C.
Step-by-step explanation:
The difference of x and y is the same as 3 times the sum of x and 2
Answer:
x - y = 3(x + 2)
x - y = 3x + 6 is the simplified answer and is also correctStep-by-step explanation:
The difference of x and y is the same as 3 times the sum of x and 2
x - y = 3(x + 2)
x - y = 3x + 6
Answer:
spoke out of term and with no true option.
Isabel split 5/8 pounds of candy among 4 people. What is the unit rate in pounds per person?
Answer:
0.15
Step-by-step explanation:
Because 5/8 divided by 4 is 0.15.
Ben found 6 tops to add to his 7 tops in his collections. he then had a competition with his friends and quadrupled his tops. I Have To Write a numerical expression to model this situation without performing any operations but I'm Just So Confused Can You Help Me Please.
Answer:
gggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggg
Step-by-step explanation:
can someone pls give me an explanation and answer?
Answer:
x=50
Step-by-step explanation:
It is a line so it should be 180 degrease. You already have two of the angles and to find the third (x) you just need to subtract them from 180. 180-105=75, and 75-25 is 50, so x is 50.
Answer: x=50 degree
Step-by-step explanation: angle in a straight line is equal to 180 degrees.
Given;
25 degrees &
105 degrees.
180– (105+25)
180– 130
= 50degrees
An artist painted a scale model of one of her paintings using a scale in which 5 inches represents 50 feet the actual height of the painting is 450 feet. What is the height of the painting in inches?
Answer:
5400
Step-by-step explanation:
helpppppppppppppppppp
ordered pairs does not represent a function?
{(5,−2),(−6,−4),(−2,3),(−1,−4)}
\{(-3, 4), (-8, 0), (3, -8), (-3, -4)\}{(−3,4),(−8,0),(3,−8),(−3,−4)}
\{(6, 3), (-1, 5), (-7, 3), (3, 0)\}{(6,3),(−1,5),(−7,3),(3,0)}
\{(3, 9), (2, 7), (9, 9), (4, -3)\}{(3,9),(2,7),(9,9),(4,−3)}
Answer:
1. \{(-3, 4), (-8, 0), (3, -8), (-3, -4)\}{(−3,4),(−8,0),(3,−8),(−3,−4)}
Step-by-step explanation:
The x values are repeating
question number eight answer
I think you forgot to attach the picture w/ the question . .
Solve the following expression when
k= 12 and y = 6
+ 5 – 4v + 12
Answer:
- 5
Step-by-step explanation:
12/6 + 5 - 4(6) + 12
12/6 + 5 - 24 + 12
2 + 5 - 24 + 12
7 - 24 + 12
7 - 12
- 5
Answer:
when
k= 12 and v = 6
k/v+ 5 – 4v + 12
=12/6+5-4×6+12
=2-24+12+5
=-10+5
=-5 is a required answer.
Bout to do a math test,who is willing to help me?
me, if you can also help me!
The equation V equals pi r squared h, where r represents radius and h represents height, is used to find the volume of a ________.
Answer:
Volume of a cylinder.
Step-by-step explanation:
The given equation is :
[tex]V=\pi r^2 h[/tex]
Where
r is the radius
h is the height
This equation is used to find the volume of a cylinder.
For example, a cylinder having radius of 7 units and height of 10 units, its volume will be :
[tex]V=\dfrac{22}{7}\times 7^2\times 10\\\\V=1540\ \text{unit}^2[/tex]
So, the given equation is used to find the volume of a cylinder.
How many cubes with side lengths of 1/4 cm does it take to fill the prism?
Step-by-step explanation:
All you do is add them all up but tbh that picture could use some work and maybe when you fix it ill help you then .So the square unit of this picture is 6