Answer and Step-by-step explanation:
Given
ax + by = c
qx + ry = s
(a) the equation has no solutions if a/q = b/r ≠ c/s, when this happens, we say the system of equations has no solution. For example
x + y = 3
x + y = 5
Subtracting first equation from the second we have:
0 = 2 which is impossible.
(b) the equations have infinite solutions if a/q = b/r = c/s, for example
x + y = 2
x + y = 2
Subtracting the first equation from the second we have
0 = 0, since this is always true, then it has infinite solutions.
(c) the equations have unique solutions if a/q ≠ b/r, for example
x + y = 2
x – y = 1
Adding the first and second equation we have
2x = 3, we can get x from here and definitely y, so we have just one solution.
Does 9x mean I multiply 9 times X?
Answer:
yes
Step-by-step explanation:
PLEASE HELP ITS URGENT
12. Carla is lying on the ground between two trees in her backyard. She is 67 feet from the tree to her left. The angle of elevation from her eyes to the top of the tree on the left is 50°. Carla is 75 feet from the tree to her right and the angle of elevation from her eyes to the top of that tree is 36°. a. Determine the height of each tree to the nearest foot. Show your work. b. State which tree is taller, and by how much.
Answer:
the left tree is taller
Step-by-step explanation:
shown in work above :)
The first tree is taller than the second tree by 25.3 ft.
We have to use the trigonometric ratios and angle of elevation to obtain the height of each tree as follows;
Let the height of the first tree be h1 and the height of the second tree be h2.
For the first tree;
tan 50° = h1/67
h1 = 67 tan 50° = 79.8 ft
For the second tree;
tan 36° = h2/75
h2 = 75tan 36°
h2 = 54.5 ft
The first tree is taller than the second tree by 25.3 ft.
Learn more about angle of elevation: https://brainly.com/question/12483071
what are the answers to these questions? need help asap
Need Help please,
Which graph is generated by this table of values?
Answer:
y=3x-6
Step-by-step explanation:
use 2 of the points for y=a×x+b
we use (2,0) and (3,3) as an example
we get
0=2a+b & 3=3a+b
so
3-0=3a+b-(2a+b)
3=a
b=-6
3/4(8x -4) is equivalent to 3x - 2 + 3x - 1
true or flase
Answer:
true
Step-by-step explanation:
5. Five-eighth of a number is 15. What is the number?
Your answer
Answer:
I think it is 24
Step-by-step explanation:
15÷5=3
3×8=24
Answer:
24
Step-by-step explanation:
divide 15 by 5 to get 3 which is equal to 1/8 of the number. then just multiply 3 by 8 to get 24.
If a pound of coffee costs 12. How many ounces can be brought for 3.90
The length of a subway is 385 miles. If 3 cm represents 35 miles on the map, then what is the length of the subway on the map in cm?
Answer:
33cm
Step-by-step explanation:
385 / 35 = 11
11 times 3 = 33
Lisa makes $78.37 per day. If she works 8 12
hours, how much does she make in 1 hour?
9/5 -(-6/10) please helppppppppppppppp0pppppp
Answer:
[tex]\frac{12}{5}[/tex]
Can sombody plz help me?!
Answer:
D.
Step-by-step explanation:
The posssibility that a random person will not buy any dramas is 3/4 since 1/4 is the one with drama and there's 4 types of movies.
What is the value of
the digit 9 in the
number below?
157,243
Answer:
Nine hundred
The 9 is in the hundred place. So it would stand for 9 hundred.
Your car repair bill was $390. You were charged $215 for parts and $35 per hour for labor.
How many hours did the repairs take?
Answer:
5 hours
Step-by-step explanation:
subtract 390 by 215 to get 175 then divide 175/35 to get 5
Diana pays $33 for 12 gallons of gas. Manny pays $37.10 for 14 gallons of gas. How much less per gallon does Manny pay than
McKenzie gets a base pay of 1,800 per month.She also earns 12% commission on the amount of car sales.If she sells 45,000 worth of cars how much money does she make in one month
9514 1404 393
Answer:
7,200
Step-by-step explanation:
McKenzie's commission for the month is ...
0.12 × 45,000 = 5,400
When that is added to McKenzie's base pay, she makes a total of ...
5,400 +1,800 = 7,200
McKenzie makes 7,200 in a month when she sells 45,000 worth of cars.
Which is equivalent to 243 2/4
O 3
O 6
O9
O 12
the answer is 9 because......
The 95% confidence interval for these parts is 56.98 to 57.05 under normal operations. A systematic sample is taken from the manufacturing line to determine if the production process is still within acceptable levels. The mean of the sample is 56.96. What should be done about the production line
Answer:
Stop the line of production since the sample mean (56.96) is outside the confidence interval [[tex]CI_{0.95}[/tex] = ( 56.98, 57.05 )]
Step-by-step explanation:
Given that;
95% confidence interval for these parts is 56.98 to 57.05
[tex]CI_{0.95}[/tex] = ( 56.98, 57.05 )
Sample mean = 56.96
We know that;
If the sample mean is within the confidence interval then, our decision is to keep the line operating as it is inside the confidence interval.
But if the sample mean is not within the confidence interval them, our decision is to stop the line of production as it is outside the confidence interval.
Now since our mean sample (56.96) does not lie between with the 95% confidence interval [tex]CI_{0.95}[/tex] = ( 56.98, 57.05 ).
Therefore, Stop the line of production since the sample mean (56.96) is outside the confidence interval [[tex]CI_{0.95}[/tex] = ( 56.98, 57.05 )]
What is the total interest earned in two years on an account containing $500 at 3.5% interest, compounded annually?
Answer: $35.6125
Step-by-step explanation:
3.5% = 0.035
Let's find the deposit amount with interest at the end of the first year:
500 + 500 · 0.035 = 517.5
Let's find the amount of the deposit with interest at the end of the second year:
517.5 + 517.5 · 0.035 = 535.6125
Find the total interest earned over two years:
535.6125 - 500 = 35.6125
Grace wants to participate in a dance recital. She cannot miss more than 15% of the 40 classes before the recital. What is the minimum number of classes Grace must go to in order to be in this recital?
(BUT DON'T SAY 6 I PUT IT AND IT WAS WRONG!)
Answer:
She has to attend 6 or more classes
Step-by-step explanation:
PLEASE ANSWER ASASP FOR BRAINLEST!!!!!!!!!!!!!!
Answer: 10
Step-by-step explanation:
2+4+4= 10
Total profit P is the difference between total revenue R and total cost C. Given the following total-revenue and total-cost functions, find the total profit, the maximum value of the total profit, and the value of x at which it occurs.
R(x)=1300x-x^2
C(x)=3300+20x
Will give brainliest!
Answer: Oh no... Anyway's wanna ask me a question about sex ed?
Step-by-step explanation: x=495
,P=241,525
Step-by-step explanation:
Given that
Profit=Total revenue - total cost
P= R -C
Also given that
So
Above equation is the total profit in terms if x.
Now to find maximum value of P we have to differentiate above equation with respect to x
So
⇒x=495
So total profit at x=445 ,P=241,525
Answer:
The profit function is:
[tex]P(x)=-x^2+1280x-3300[/tex]
The maximum value is 406, 300 occurring when x = 640.
Step-by-step explanation:
The revenue function is:
[tex]R(x)=1300x-x^2[/tex]
And the cost function is:
[tex]C(x)=3300+20x[/tex]
Then the total profit function will be:
[tex]P(x)=R(x)-C(x)=(1300x-x^2)-(3300+20x)=-x^2+1280x-3300[/tex]
This is a quadratic function.
Therefore, the maximum value of the total profit will occur at its vertex point.
The vertex of a quadratic is given by:
[tex]\displaystyle \Big(-\frac{b}{2a}, f\Big(-\frac{b}{2a}\Big)\Big)[/tex]
In this case, a = -1, b = 1280, and c = -3300.
Then the point at which the maximum profit occurs is at:
[tex]\displaystyle x=-\frac{1280}{2(-1)}=640[/tex]
And the maximum profit will be:
[tex]P(640)=-(640)^2+1280(640)-3300=406300[/tex]
The sale price of every item in a store is 85% of its usual price the usual price of backpack is $18 what is its sale price
Answer: the sale price is $2.70
Step-by-step explanation:
Discount = Original Price x Discount %/100
Discount = 18 × 85/100
Discount = 18 x 0.85
You save = $15.30
Final Price = Original Price - Discount
Final Price = 18 - 15.3
Final Price = $2.70
anybody know the answer to this
Solve the proportion. 2x/5 = 9/15
x = 3/2
Getting x on one side of the equation:
(2/5)x = 9/15
x = (9/15)(5/2)
x = 9/6
x = 3/2
5) Solve this system by graphing.
-2x - 4y = -8
y = x-10
Geometry. What is the answer and how do I solve? Please don't waste my answers. I will mark brainliest.
Answer:
QS = 16
Step-by-step explanation:
We can find QS by using the Pythagorean Theorem for Δ SQT
ST = 24/2 or 12
QT = 20
QS² + 12² = 20²
QS² + 124 = 400
QS² = 256
QS = √256, which is 16
4 1/2 x 4 1/2? write in a decimal
Answer:
4 1/2×4 1/2=9/2×9/2=81/4=20.25
4 1/2×4 1/2=9/2×9/2=81/4=20 1/4 .
Consider the spreading of a rumor through a company of 1000 employees, allworking in the same building.We assume that the spreading of a rumor is similar to the spreading of a contagious disease (see Example 3, Section 1.2) in that the number of people hearing the rumor each day is proportional to the product of the number who have heard the rumor previously and the number who have not heard the rumor. This is given by
rn+1 = rn + 1000krn(1000 ? rn)
where k is a parameter that depends on how fast the rumor spreads and n is the number of days. Assume k = 0.001 and further assume that four people initially have heard rumor. How soon will all 1000 employees have heard the rumor?
Answer:
On the 12th day, the rumor would have has to all the 1000 employees
Step-by-step explanation:
Given the data in the question;
so, lets consider the rumor spreading thorough the company of 1000 employee;
the given model is; [tex]r_{n+1}[/tex] = [tex]r_{n}[/tex] + 1000k[tex]r_{n}[/tex] ( 1000 - [tex]r_{n}[/tex] )
where k is the parameter that depends on how fast the rumor spreads, n is the number of days.
now, lets assume k = 0.0001, lets also assume r₀ = 4
so to find how soon all 1000 employees will have heard the rumor ;
let n be;
then r1 will be;
r1 = r₀ + ( 0.001)r₀(1000-r₀ )
so
r1 = 4 + ( 0.001) × 4× (1000 - 4 )
r1 = 7.984
r2 will be;
r2 = r1 + ( 0.001)r1(1000-r1 )
r2 = 7.984 + ( 0.001) × 7.984 × (1000 - 7.984 )
r2 = 15.904255744
r3 will be;
r3 = r2 + ( 0.001)r2(1000-r2 )
r3 = 15.904255744 + ( 0.001) × 15.904255744 × (1000 - 15.904255744 )
r3 = 31.555566137
Using the same formula and procedure by substituting n = 1,2,3,4,5,6,7,8,9,10,11,12.
we will have;
n rₙ
0 4
1 7.984
2 15.904255744
3 31.555566137
4 62.1153785
5 120.372437
6 226.25535
7 401.319217
8 641.58132
9 871.53605
10 983.497013
11 999.727651
12 999.999926
Therefore, On the 12th day, the rumor would have has to all the 1000 employees
50 Points!
Prove that 327^3 + 173^3 is divisible by 500
It's a good question, and would like to see some answers
Answer:
327^3 = 34 965 783
173^3 = 5 177 717
34 965 783 + 5 177 717 = 40 143 500
40 143 500 ÷ 500 = 80 287
80 287 is a whole number, therefore, 327^3 + 173^3 is divisible by 500.
I hope this helps :)
Yes, the expression ( 327³ + 173³ ) is divisible by 500.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that the expression is 327³ + 173³ and is divided by 500. The division will be calculated as,
327³ = 34 965 783
173³ = 5 177 717
34,965,783 + 5,177,717 = 40,143,500
40,143,500 ÷ 500 = 80,287
80,287 is a whole number, therefore, 327³ + 173³ is divisible by 500.
To know more about an expression follow
https://brainly.com/question/11482504
#SPJ2
what is the y- intercept for y=-2 +5
Answer:
(0,5)
Step-by-step explanation:
I'm assuming it's actually y=-2x+5. Anyway, in y=mx+b, b represents the y-int, and because b=5 (based on the placement), we know that the y-intercept is (0,5)
Answer:
no answer
Step-by-step explanation:
there's something wrong with your question, it must have x, and the equation must be in that order:
y=mx+c