Answers
Answer:
x = -166, y = 34
Step-by-step explanation:
5(x+2y) - 3 = 3x+5
4(x-3y) - 50 = -33y
Open both equations
5x+10y - 3 = 3x+5
2x+10y = 8
4x-12y - 50 = -33y
4x+21y = 50
Now multiply -2 on both sides of 1st equation.
(easier to add both equations.)
-4x+-20y = -16
4x+21y = 50
Add both equations
x cancels out
y = 34
plug y back into other equation to find x
2x + 340 = 8
2x = -332
x = -166
Answer:
y = 34, x = -166
Step-by-step explanation:
Let's simplify the first equation.
5(x + 2y) - 3 = 3x + 5
We can multiply the 5 out:
5x + 10y - 3 = 3x + 5
Now let's isolate x on one side, although you can choose to isolate y if you want to. Subtract 3x on both sides:
2x + 10y - 3 = 5
Add 3 on both sides and subtract 10y on both sides.
2x = 8 - 10y
Divide 2 on both sides.
x = 4 - 5y
Now to the next equation!
4(x - 3y) - 50 = -33y
Multiply 4 out:
4x - 12y - 50 = -33y
Add 12y and 50 on both sides.
4x = -21y + 50
Now divide 4 on both sides!
x = -5.25y + 12.5
Now we have these equations:
x = 4 - 5y
x = -5.25y + 12.5
Therefore 4 - 5y = -5.25y + 12.5
Once again let's isolate the variable. Let's add 5.25y on both sides and subtract 4 on both sides:
0.25y = 8.5
Now multiply by 4 on both sides to bring y's coefficient to 1:
y = 34
Let's substitute the y value into the equation x = 4 - 5y to get x = 4 - 136 = -132
Related Questions
A meat-seller sells x kg of ducks at $8.50 per kg and (2x + 5 ) kg of chicken at $3.60 per kg. If he collects a total of $206.40, find the value of x.
Answers
Answer:
[tex]x = 12[/tex]
Step-by-step explanation:
1) Set up an equation that involves all of the values; the price and kg of each duck and chicken equating to 206.40.
[tex]8.50(x) + 3.60(2x + 5) = 206.40[/tex]
[tex]8.50x + 7.2x + 18 = 206.40[/tex]
2) Solve it.
[tex]15.7x + 18 = 206.40[/tex]
[tex]15.7x = 206.40 - 18[/tex]
[tex]15.7x = 188.4[/tex]
[tex]x = \frac{188.4}{15.7}[/tex]
[tex]x = 12[/tex]
I need help answering this question
Answers
Answer:
x -2 y + 2
Step-by-step explanation:
Find the missing side lengths. ( BC and DE)
Answers
Answer:
BC= 24, DE= 15
Step-by-step explanation:
You can use the Pythagroean theorem which is a^2+b^2=c^2.
So AC is the hypotenuse, so a^2+10^2=26^2=a^2+100=676. Subtract 100, a^2=576. Then take the square root of 576 which is 24.
EC is the hypothenuse for triangle EDC, so a^2+36^2=39^2, a^2+1296=1521. Then subtract to 1296 to get 225. Then take the square root which is 15.
What is the factored form of x^3-1? A. (x^3-1) (x^2 + x + 1) B. (x - 1) (x^2 - x + 1) C. (x - 1) (x^2 + x +1 ) D. (x^3 - 1) (x^2 + 2x + 1)
Answers
Answer:
C. (x - 1) (x^2 + x +1 )
Step-by-step explanation:
x^2 +x +1
x x^3 x^2 x
-1 -x^2 -x -1
If you multiply it out it equals the answer
A crate of apples that usually costs
$40 is on sale for 20% off. What is
the sale price for the crate of
apples?
Answers
Answer:
$32
Step-by-step explanation:
Step-by-step explanation:
We are trying to find $40 on sale for 20$ off.
40*20/100
40*0.2
You save=$8
40-8
Final Price=$32
Two numbers whose sum is 29 and their difference is 15
Answers
Answer:
22 and 7
Step-by-step explanation:
Let x and y be the two numbers we are looking for:
The statement “their sum is 29” means x + y = 29
The statement “their difference is 15” means x - y = 15
we get this system:
x + y = 29 (1)
x - y = 15 (2)
Let’s solve it :
(1) + (2) ⇒ x + y + x - y = 29 + 15 ⇒ 2x = 44 ⇒ x = 44/2 = 22
Now we replace x by 22 in equation (1) :
22 + y = 29 ⇒ y = 29 - 22 = 7
Identify the unit rate in the graph.
Answers
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
Let's find the unit rate (r) ~
[tex]\qquad \tt \dashrightarrow \:r = \dfrac{y 2 - y1}{x2 - x1} [/tex]
[tex]\qquad \tt \dashrightarrow \:r = \dfrac{50 - 0}{1 - 0} [/tex]
[tex]\qquad \tt \dashrightarrow \:r = {50 }{} \: mph[/tex]
Take two points
(1,50)(2,100)Slope:-
m=y_2-y_1/x_2-x_1m=100-50/2-1m=50NEED HELP QUIK!!! 20PTS
For his phone service, Ryan pays a monthly fee of $10, and he pays an additional $0.06 per minute of use. The least he has been charged in a month is $92.74. What are the possible numbers of minutes he has used his phone in a month? Use m for the number of minutes, and solve your inequality for m.
Answers
Answer:
$92.74 = 0.06m + $10
m = 1545.67 (or 1546 if rounded to the nearest whole minute)
Step-by-step explanation:
m represents the number of minutes, which we have been told are charged at $0.06 per minute.
$10 is the constant because he is charged this every month.
Set up the equation with these numbers:
92.74 = 0.06m + 10
Now solve the equation
Subtract 10 from both sides to get m by itself:
92.74 - 10 = 0.06m + 10 - 10
82.74 = 0.06m
Divide each side by 0.06 to get m as a whole number
92.74/0.06 = 1545.67
0.06m/0.06 = m
Therefore
m = 1545.67 (or 1546 if rounded to the nearest whole minute)
HELP! WILL GIVE BRAINLEST! What is the approximate degree measure of an angle of 4.59 rad?
Answers
Answer:
C
Step-by-step explanation:
please solve this paper
Answers
Answer:
1. the, from, although, won't he, ourselves
2. The father said to his son that he was happy with him. My laptop has been stolen by somebody. He wants to die in the village where he was born.
3. was, worked
Step-by-step explanation:
Hope this helps!
I need the answer please!
Answers
Answer:
5 units
Step-by-step explanation:
Let's assume point (5,1) to be C
according to the picture we know AC= 3 and BC=4
Applying pythagorean theorem: a^2+b^2=c^2
(AC)^2+(BC)^2=(AB)^2
3^2+4^2=(AB)^2
9+16= (AB)^2
AB^2=25
AB=5
15 POINTS: What is the slope of the line that passes through the points (a, b) and (c, b)?
Answers
Answer:
0
Step-by-step explanation:
[tex]slope \: of \: a \: line = \frac{y2 - y1}{x2 - x1} = \frac{b - b}{c - a} = \frac{0}{c - a} = 0[/tex]
Latonya was just hired as an engineer for an electric company. she will make a salary of $50,000 a year. how much of latonya's salary will be taxed at the 10 percent rate? how much of latonya's salary will be taxed at the 28 percent rate?
Answers
The $5000 will be taxable amount at 10% of Latonya's salary, and $14000 will be taxable amount at 28% of Latonya's salary.
What is the income tax rate?It is defined as the tax rate applied on the solely earned money by a single entity.
Latonya salary per year = $50,000
If Latonya's salary will be taxed at the 10% rate, then she needs to pay tax:
[tex]= $50,000\times10\%[/tex]
[tex]=50000\times \frac{10}{100}[/tex]
[tex]= \$ 5000[/tex]
If Latonya's salary will be taxed at the 28% rate, then she needs to pay tax:
[tex]= \$50,000\times28\%[/tex]
[tex]=50000\times \frac{28}{100}[/tex]
[tex]= \$14000[/tex]
Thus, the $5000 will be taxable amount at 10% of Latonya's salary, and $14000 will be taxable amount at 28% of Latonya's salary.
Learn more about the income tax here:
brainly.com/question/17075354
If the walls of a square room require 480 ft^2 of paint and the floor to ceiling height is 10
ft, what are the dimensions of the room?
Answers
Answer:
48 by 10 because
[tex]480\div 10 = 48[/tex]
therefore the wall dimensions are 48 by 10
How many milligrams are equal to 17. 9 grams?
A. 0. 0179 mg
B. 179 mg
C. 17,900 mg
DX. 179,000 mg
Answers
Answer:
17,900 mg
Step-by-step explanation:
I took the k12 test today
EASY POINTS!!
Question 4 of 10
True or false? The graph represents a function
A. True
B. False
SUBMIT
Answers
ps: This is a quadratic function of equation
[tex]f(x) = - x {}^{2} + 4[/tex]
How many 1/20 are there in 1/4?
Answers
Answer:
there are 5
Step-by-step explanation:
Helpppppp i need a correct answer please make sure you are correct!! 50 points!
which angle has its terminal side on the positive y-axis?
2pi radians
pi radians
pi/2 radians
3 pi/2 radians
Answers
Answer:
[C] [tex]\frac{\pi }{2}\;radians[/tex]
Step-by-step explanation:
The ray in the terminal position, after the rotation is call the "terminal side of the angle."
Note that quadrant of the unit circle of any given angle the radians would be in:
Quad I → 0 < θ < pi/2
Quad II → pi/2 < θ < pi
Quad III → pi < θ < 3pi/2
Quad IV → 3pi/2 < θ < 2pi
Hence, Answer is [C] pi/2 radians
~lenvy~
Which of these graphs represents a function
Answers
Answer: Answer X
Step-by-step explanation:
In order for a graph to represent a function, it must pass the vertical line test. This means, if you were to draw a vertical line at ANY point along the graph, it should not intersect more than one point. For answers W, Y, and Z, they clearly fail the vertical line test. Answer X is the only graph that passes the vertical line test.
Can someone help me with this problem?
Answers
Explanation:
22 = 2*11
18 = 2*9
We see that 2 is the GCF of 22 and 18. It's the largest shared factor.
Now use the distributive property to say the following
22 + 18
2*11 + 2*9
2(11+9)
To check the answer, multiply the outer 2 by each term inside to end up with 22+18 again.
Trina is making quilts for sewing class. She will use 21 yards of yellow fabric, 10.1 yards of green fabric, and 24.8 yards of blue fabric. This amount makes 26 quilts. How many yards are used for each quilt?
Answers
Answer:
6.7 per unit
Step-by-step explanation:
PLEASE HELP!!
For systems of inequalities, graph each system on a coordinate plane to show the solution region. Next, use the graph to answer the question. Be sure to define your variables and show all of your work.
Q.1. The potter at a pottery store makes two sizes of vases. The larger size takes six hours to make, and the smaller size takes 1.5 hours to make. The potter works 30 hours a week. She needs to make at least six total vases a week, including at least two of each size. Give one example of how many of each type of vase the potter can make.
Answers
Answer:
Step-by-step explanation:
Let x and y be the large (x) and small (y) vases the potter makes in one week.
We are told that the large and small vases require 6 hours for each large(x) and 1.5 hours for each small (y) vase. The combination of large and small vases made in one week thus requires a total time of:
6x + 1.5y = total hours/week
We are told that the potter works 30 hours per week, so:
6x + 1.5y = 30 hours
We also learn that she needs to make at least 6 vases in a week, so:
x + y => 6
Plot the two equations:
6x + 1.5y = 30, and
x + y => 6
This will produce the attached grap, Vases1. The inequality appears as the shaded area in the upper area. Any point in the shaded area satisfies the inequality of x + y => 6. The x and y intercepts are at (0,6) and (6,0), representing either all large (x) or small vases (y).
The lines intersect at (4.67,1.33). This represents a fictional combination of 4.67 large and 1.33 small vases. This results in 6 vases (4.67 + 1.33) that require a total of 30 hours to make (6*4.67 + 1.5*1.33) = 30 hours. If you want to select whole number answers, they appear at (0,6), (2,4), (4,2), and (6,0). (x,y or large,small). All combinations result in 6 vases, but eould require less than the 30 hours of time available. Any whole number combination in the area below the line 6x + 1.5y = 30, but above the line x+y =>6 are valid, such as (4,4). This area is shown in Vases2. The valid area for making choices has the darkest shade, where the two inequalities are both satisfied.
A group of climbers begin climbing at an elevation of 6500 feet and ascend at a steady rate of 600 vertical feet per hour. what is their elevation after 3.5 hours?
Answers
y = mx + b (m is the slope and b is the y intercept)
slope is rise/run - the climbers 600ft (rise) every 1 hour (run) … m = 600/1
on the graph the x axis would be time and the y axis would be the climbers elevation.
at time(t) = 0 which is the same as saying x = 0 the climbers are already 6500 up so that is your y-intercept.
thus the equation is:
y = 600/1 x + 6500 or y = 600x + 6500
when time(t) or x = 3.5
y = 600(3.5) + 6500
y = 2100 + 6500
y = 8600
The climbers elevation after 3.5 hrs is 8600ft.
David draws one card from a deck of cards. What is the probability that he selects a 7?
Answers
4/52 = 1/13
hope it helps...!!!
which is an equation of the axis of symmetry of the graph of the equation y= x^2-6x+2?
1) x=-3
2) y=-3
3) x=3
4) y=3
Answers
Answer:
x=3
Step-by-step explanation:
The equation is written in the form ax2+bx+c. As you can see, a=1, b=-6 and c=2. The axis of symmetry is worked out by x=−b2a.
−(−6)2(1) = 62=3
Substituted this value of x back into the equation to find the y coordinate.
y=(3)2−6(3)+2
y=9−18+2
y=−7q
So the vertex of the line is at (3,-7)
Find the product. 5(-3)=
Answers
Answer:
-15
Step-by-step explanation:
-15
Solution:A positive number times a negative number is a negative number.The product of 2 numbers means we multiply these numbers.Therefore, the product of 5 and -3 is-15Hope it helps.
Do comment if you have any query.
what is the area of the triangle
Answers
Answer:
390
[tex]\frac{26x30}{2} =390[/tex]
Hope This Helps! :)
help please will mark brainly when can
let a,b,c, and d be integers select yes or no to indicate whether each number is a possible product for a/b • c/d
8.96 [ yes ] [ no ]
[tex]5 \sqrt{6} [/tex]
[ yes ] [ no ]
15 [ yes ] [ no ]
[tex] \binom{\pi}{4} [/tex]
[ yes ] [ no ]
Answers
The expression a/b * c/d is an illustration of number types
The truth value of 8.96 is yesThe truth value of 5√6 is noThe truth value of 15 is yesThe truth value of π/4 is yesHow to determine the true values of the numbers?The expression is given as:
a/b * c/d
Next, we test the given numbers
(a) 8.96
Express 8.96 as a fraction
8.96 = 896/100
Express the numerator and the denominator as products
8.96 = (224 * 4)/(50* 2)
Split the fraction
8.96 = 224/50 * 4/2
The above equation shows that 8.96 can be written in the form a/b * c/d.
Hence, the truth value of 8.96 is yes
(b) 5√6
Express 5√6 as a product expression
5√6 = 5 * √6
Evaluate the product
5√6 = 12.2474.....
The result of 5√6 is a non-terminating decimal
Hence, the truth value of 5√6 is no
(c) 15
Express 15 as a fraction
15 = 90/6
Express the numerator and the denominator as products
15 = (9 * 10)/(3 * 2)
Split the fraction
15 = 9/3 * 10/2
The above equation shows that 15 can be written in the form a/b * c/d.
Hence, the truth value of 15 is yes
(d) π/4
Express π as 22/7
π/4 = 22/7/4
Rewrite the expression as products
π/4 = 22/7 * 1/4
The above equation shows that π/4 can be written in the form a/b * c/d.
Hence, the truth value of π/4 is yes
Read more about numbers at:
https://brainly.com/question/24670740
13. A triangle has angle measurements of
36°, 36° and 108°. Is the triangle acute, obtuse
or right? How do you know?
Answers
108 > 90
a , b , c , d ???????????????????
Answers
Answer:
First, add the two mixed numbers together.
[tex]1 + 2 = 3[/tex]
[tex]4/7 + 3/14 = 11/14[/tex]
Combine the equation and number.
[tex]3 + 11/14 = 3 \frac{11}{14}[/tex]
[tex]3\frac{11}{14} + 1/2 =[/tex] 4 2/7
Therefore, the answer is 1/2