= -6
-2x + y
-x+3y
= -6
Answer: x = 2.4 or 12/5, y = -1.2
Step-by-step explanation:
-2x + y = -6
=> y = 2x - 6
-x + 3y = -6
=> -x + 3(2x - 6) = -6
=> -x + 6x - 18 = -6
=> 5x = 12
=> x = 12/5 or 2.4
-x + 3y = -6
=> - (2.4) + 3y = -6
=> 3y = -6 + 2.4
=> 3y = -3.6
=> y = - 1.2
Pls help, I tried for over 1 hour on these questions
Answer:
i will give you tip
Step-by-step explanation:
if you want to make it easier for yourself you can turn them into whole numbers and here is how...
first find the common denominator for example for A it would be 12. then divide the denominators by 12
ex.
for the fraction -5/6 you would first divide 12 by 6 which is 2 and then multiply by numerator which is -5 so the answer woud be -10 and do the same thing for the other fractions and they will all be whole numbers so you dont have to deal with fractions.
pls mark brainliest this took me a while to explain if nots that ok :)
hope this helps
The sum of the lengths of two opposite sides of the circumscribed quadrilateral is 12 cm, the length of a radius of the circle is 5 cm. Find the area of the quadrilateral
Answer:
60cm^2
Step-by-step explanation:
We assume that is a circumscribing quadrilateral, rather than one that is circumscribed. It is also called a "tangential quadrilateral" and its area is ...
K = sr
where s is the semi-perimeter, the sum of opposite sides, and r is the radius of the incircle.
K = (12 cm) (5cm) = 60 cm²
_____
A quadrilateral can only be tangential if pairs of opposite sides add to the same length. Hence the given sum is the semiperimeter.
Can someone help and explain this question please thank you so much I appreciate
Answer:
$176.23
Step-by-step explanation:
(13x12)+(0.07x289)=
156+20.23=
$176.23
NO LINKS!! Find the missing length indicated. The triangle is similar.
Answer:
143
Step-by-step explanation:
35/55 = 91/x
7/11 = 91/x so 143
Answer:
DB = 143 units
Step-by-step explanation:
In similar triangles, corresponding sides are always in the same ratio.
If ΔDCB ~ ΔDRS then:
\(\implies \sf DC : DR = CB : RS = DB : DS\)
From inspection of the given diagram:
DC = 91DR = 35DS = 55Therefore:
\(\implies \sf 91 : 35 =DB : 55\)
\(\implies \sf \dfrac{91}{35} =\dfrac{DB}{55}\)
\(\implies \sf 55 \cdot \dfrac{91}{35} =55 \cdot \dfrac{DB}{55}\)
\(\implies \sf 143=DB\)
A cup of tea is placed on a table. At a time of t minutes after being placed on the table, its temperature in degrees Celsius is given by
T = 20 + Ae⁻ᵏᵗ
Where A and K are positive constants. The initial temperature of the tea was 70℃
a. Find the value of A
b. The tea takes 4 minutes to decrease in temperature from 70℃ to 50℃
show that k = 1/4 In (5/3)
please can someone explain how to get the time (t minutes) as well as a. and b. as i am baffled! i dont know what to do
Thankyouu!!
Step-by-step explanation:
To solve the problem, we'll use the information given to find the values of A and k in the equation T = 20 + Ae^(-kt), where T is the temperature in degrees Celsius at time t.
a. Finding the value of A:
We're given that the initial temperature of the tea was 70℃. Substituting this into the equation, we get:
70 = 20 + Ae^(0) (since e^0 = 1)
70 - 20 = A
A = 50
So the value of A is 50.
b. Finding the value of k:
We're told that it takes 4 minutes for the tea to decrease in temperature from 70℃ to 50℃. We can use this information to set up an equation and solve for k.
Substituting T = 70 and t = 4 into the equation, we have:
70 = 20 + 50e^(-4k)
Subtracting 20 from both sides:
50 = 50e^(-4k)
Dividing both sides by 50:
1 = e^(-4k)
Taking the natural logarithm (ln) of both sides:
ln(1) = ln(e^(-4k))
0 = -4k
Dividing both sides by -4:
0 = k
However, we need to check if this solution satisfies the condition for the tea to decrease in temperature from 70℃ to 50℃ in 4 minutes.
Substituting T = 50 and t = 4 into the equation, we have:
50 = 20 + 50e^(-4(0))
50 = 20 + 50e^0
50 = 20 + 50(1)
50 = 20 + 50
50 = 70
Since 50 is not equal to 70, the value of k = 0 does not satisfy the given condition.
Let's try another approach:
Substituting T = 50 and t = 4 into the equation, we have:
50 = 20 + 50e^(-4k)
Subtracting 20 from both sides:
30 = 50e^(-4k)
Dividing both sides by 50:
0.6 = e^(-4k)
Taking the natural logarithm (ln) of both sides:
ln(0.6) = ln(e^(-4k))
ln(0.6) = -4k ln(e)
ln(0.6) = -4k(1)
ln(0.6) = -4k
Simplifying further:
k = ln(0.6) / -4
Using a calculator or computer to evaluate ln(3/5) / -4, we get approximately:
k = ln(5/3) / 4
To recap:
a. The value of A is 50.
b. The value of k is approximately k = ln(5/3) / 4
.
Note: The calculations provided are based on the given information and assumptions. If there are any additional details or specific conditions provided, please let me know, and I'll be happy to assist you further.
which absolute values have a value less than |76|?
answers:
A: |-101|
B. |-78|
C: |-76|
D. |55|
Answer:
D
Step-by-step explanation:
The absolute value of |55| is 55
55 < 76
Yan is climbing down a ladder. Each time he descends four rungs on the ladder, he stops to see how much farther he has to go. Which word in the problem indicates that a negative integer should be used?
Answer:
Descends
Step-by-step explanation:
The word descends indicates that a negative integer should be used, because it indicates a downward motion.
Esther has a farm.
Last year she employed 24 workers to pick her vegetables.
They picked a total of 600 kg of onions in 4 hours.
This year she needs to employ enough workers to pick
600 kg of onions in 3 hours.
Work out how many workers Esther
needs. (3)
Write your answer in the box below.
Show your work
The working bo
Working Box
Here, we are required bro determine how many worker Esther needs to employ to pick the same 600kg of onions in 3 hours as compared to 4 hours from last year.
This year, she needs to employ 32 workers to pick a total of 600kg of onions in 3 hours.
According to the data given, the total quantity of onions to be picked still remains 600 kg as from last year, only that she needs it done in 3 hours now.
Therefore,
Since 24 workers finished the work in 4 hours,This means that 96 workers are needed to finish the work in 1 hour( from 24×4 = 96).Therefore, since the work needs to be done in 3 hours this year, This means that it can be shared between X no. of workers.
Where X = 96/3= 32Therefore, this year she needs to employ 32 workers to pick a total of 600kg of onions in 3 hours.
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what will be the discount rate of a VCR if the marked price is 4700 rupees and discount is 1175
Answer:
25% is the discount rate in percentage form
Step-by-step explanation:
the discounted price will be 3525 and the discount rate in percent is 25%
Assume that the situation can be expressed as a linear cost function. Find the cost function in this case.
Marginal cost: $15; 150 items cost $5500 to produce.
The linear cost function is C(x) =
The linear cost function is C(x) = 15x + 3250 and the cost function in marginal cost: $15; 150 items cost $5500 to produce is $ 5500 .
The linear operate is expressed as y = mx + b .....(1)A linear value operate expresses value as a linear operate of the amount of items;Let C(x) is that the total value, and x is that the range of things.
The slope "m" is named the cost and "b" is named the charge.
The value of m is $15 and the price of "x" is 150.
Total cost of 150 items are $5500
Substitute all the values within the equation (1) , we get
5500 = 15 (150) + b
5500 = 2250 + b
3250 = b
Hence , linear cost function is given by C(x) = 15x + 3250
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GIVEN a = (2 -3) and b = (1 -5 ) find 3a - b
Answer:
3a - b = 1
Step-by-step explanation:
a = (2-3)
b = (1-5)
Substitute the values of a and b to the 3a-b.
3(2-3) - (1-5)
6-9 - (-4)
6 - 9 + 4
-3 + 4
= 1
Therefore, 1 is the answer.
Step-by-step explanation:
Solution :
Given,
a= (2 - 3)
b= (1 - 5)
Now,
3a-b
= 3(2 - 3) -(1 - 5)
= 3×(-1) - (-4)
= -3+4
= 1
.
. .The value of 3a-b is 1
.
.......
.......
..
Answer:
12
Step-by-step explanation:
Mr. Beachy's grade distribution over the past 3 years in Algebra 1 class is shown in the table below. Answer the following questions based on this table in simplest fraction form.
Grade # Students
A
41
B
183
C
265
D
96
F
85
Incomplete
2
How many total students are there?
If Sharon plans on taking Algebra 1 with Mr. Beachy, what is the empirical probability that she will receive an A?
If Cody plans on taking Algebra 1 with Mr. Beachy, what is the empirical probability that he will receive a B?
The empirical probability that Sharon will receive an A is 41/672, and the empirical probability that Cody will receive a B is 183/672.
To find the total number of students, we need to sum up the number of students in each grade category.
Total Students = Number of A students + Number of B students + Number of C students + Number of D students + Number of F students + Number of Incomplete students
Total Students = 41 + 183 + 265 + 96 + 85 + 2 = 672
Therefore, there are a total of 672 students.
To find the empirical probability that Sharon will receive an A, we need to divide the number of A students by the total number of students.
Empirical Probability of receiving an A = Number of A students / Total Students
Empirical Probability of receiving an A = 41 / 672
To simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 1.
Empirical Probability of receiving an A = 41 / 672
To find the empirical probability that Cody will receive a B, we need to divide the number of B students by the total number of students.
Empirical Probability of receiving a B = Number of B students / Total Students
Empirical Probability of receiving a B = 183 / 672
Again, to simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 1.
Empirical Probability of receiving a B = 183 / 672
Therefore, the empirical probability that Sharon will receive an A is 41/672, and the empirical probability that Cody will receive a B is 183/672.
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Terry earns a base salary of $2100 per month. Once he reaches $40000 in total sales, he earns an additional 5% commission (salary) on the amount of sales over $40000. Let s be the amount of his total sales for the month and M(s) be the amount of his salary for the month. (For instance, if he had sales of $42000 for the month, he would earn a salary of $2100 and 5% of $2000, since $42000 is $2000 more than $40000.)
Answer:
$4200Step-by-step explanation:
Step one:
given data
we are told that Terry's base salary is $2100 per month.
in addition 5% on sales greater than $40000.
let the monthly salary be M(s)
and let "s" be the amount of sales made
his monthly commission =0.05s
Step two:
The expression for his monthly earning is given as
M(s)=0.05s+2100 where s>40000
hence for a month when s=42000
M(s)=0.05(42000)+2100
M(s)=2100+2100
M(s)=4200
Therefore for an instance when s=42000 his earnings for the month will be $4200
Select all of the true statements for the following exponential function.
X: -1, 0, 1
Y: 1/3, 1/2, 3/4
f(x)= __ (__)^x+ ___
Answer:
Step-by-step explanation:
we can use the data points to write a system of equations to solve for the values of a and b in the general exponential function of the form f(x) = a(b)^x.
Using the data points, we get:
f(-1) = 1/3 = a(b)^(-1)
f(0) = 1/2 = a(b)^0 = a
f(1) = 3/4 = a(b)^1 = ab
Solving for a and b, we get:
a = 1/2
b = 3/4a = 3/4(1/2) = 3/8
Therefore, the exponential function that matches the given data points is:
f(x) = (3/8)^x + 1/2
Now we can evaluate the statements:
The base of the exponential function is 3/8. (True)
The function is decreasing. (False - since the base is between 0 and 1, the function is actually increasing)
The y-intercept of the function is (0, 1/2). (True)
The function passes through the point (2, 9/16). (False - the function is only defined for x = -1, 0, 1)
The function is concave up. (True)
Get me right twinnnn
Answer:
\( \frac{9x { }^{2 } - 63x}{ 3x} \\ = \frac{3x(3x - 21)}{3x} \\ = 3x - 21 \)
hope it helps:)
Answer:3x-21
Step-by-step explanation:
\(\frac{9x^{2} - 63x }{3x}\) ⇒ \(\frac{3x * (3x - 21) }{3x}\) ⇒ cancel out 3x ⇒ 3x - 21
There is a python 8.23 meters long. What is an equivalent length of this snake in meters?
What is 0.69 expressed as a fraction in simplest form
Answer:
the answer is 69/100
Help please. Whoever does gets brainliest.
Answer:
D plz mark me brainliest
Step-by-step explanation:
If the terminal side of angle A goes through the point (−24/25,7/25) on the unit circle, then what is sin(A)?
The value of sin A is, 7/25.
What is Circle?The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.
We have to given that;
The terminal side of angle A goes through the point (−24/25,7/25) on the unit circle.
Now, By definition we get;
⇒ cos A = - 24/25
⇒ Sin A = 7/25
Thus, The value of sin A is, 7/25.
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What is 15% of 130.00
represent 21/14 and -20/8 on the number line
Step-by-step explanation:
SEE THE IMAGE FOR SOLUTION
HOPE IT HELPS
HAVE A GREAT DAY
x + 3y >/3
5x + 3y -9
PLEASE HELP SKDKD KD
Answer:
A and B?
Step-by-step explanation:
Can you help me with this question!!!!!
30 points,
please solve for x asap
-2/3(4x-2) = 3x+7
Answer:
7
Step-by-step explanation:
77777777777 and then you multiply
The length of a rectangular garden is 17 feet longer than its width. If the area of the garden is 308 square feet, what are the dimensions of the garden?
A) First, write a quadratic equation in the from
aw^2+bw+c=0
you can solve to answer the question given. Let w be the width of the garden.
Use the variable w
B) Factor your equation from part [a] into the form
Answer: The factored equation is
C)Use your factored equation to find the length and width of the
feet.
Answer:
A) w^2 +17w -308 = 0
B) (w -11)(w +28) = 0
C) length: 28 ft; width: 11 ft.
Step-by-step explanation:
A)If w is used to represent the width of the garden, then its length is w+17, and the relation to area is ...
w(w +17) = 308
w^2 +17w -308 = 0 . . . . the desired quadratic equation
__
B)The equation can be factored as ...
(w -11)(w +28) = 0 . . . . . the factored equation
__
C)The positive solution for w in the factored equation is w = 11. Then the length of the garden is ...
w +17 = 11 +17 = 28
The length and width of the garden are 28 feet and 11 feet, respectively.
Where is the velocity positive?
x
C D
E
B
t
A А
A. B-E
B. C-D
C. A-C
D. B & E
Answer: C
Step-by-step explanation:
Given
Displacement vs time graph is shown with Point from A to G
from A to C displacement increases with time such that the slope of the x-t graph is positive
from C to D it is almost zero; from D to F it is negative
Also, slope of x-t graph is velocity
Thus, the positive velocity is seen in A to C
Graph the circle which is centered at (-7, -6) and has a radius of 2 units.
Answer:
(x+2.3)^2 + y^2=36/49
Step-by-step explanation: