Answer:
[tex]x=\frac{b-ac}{a+2} ; a\neq -2[/tex]
Step-by-step explanation:
Multiply both sides: by x+c
a(x+c)=[tex]\frac{b-2x}{x+c}[/tex] (x+c)
Simplify: a(x+c)=b-2x
Expand: ax+ac=b-2x
Subtract ac from both sides: ax+ac-ac=b-2x-ac
Simplify: ax=b-2x-ac
Add 2x to both sides: ax+2x=b-2x-ac+2x
Simplify: ax+2x=b-ac
Factor ax+2x: x(a+2)
x(a+2)=b-ac
Divide both sides by a+2: [tex]\frac{x(a+2)}{a+2}[/tex] = [tex]\frac{b}{a+2}[/tex] - [tex]\frac{ac}{a+2}[/tex] ; a≠-2
Simplify: [tex]x=\frac{b-ac}{a+2} ; a\neq -2[/tex]
Determine whether the equation is an identity or not an identity. Sin theta/cos theta + cos theta/sin theta = cos theta sin theta
Answer:
The equation is not an identity.
Step-by-step explanation:
Since we have Sin theta/cos theta + cos theta/sin theta = cos theta sin theta, we re-write as Sinθ/cosθ + cosθ/sinθ = cosθsinθ where theta = θ.
For the equation to be an identity, we need to show that L.H.S(left-hand-side)= R.H.S (right-hand-side)
So,
Sinθ/cosθ + cosθ/sinθ = (Sin²θ + cos²θ)/cosθsinθ (taking L.C.M = cosθsinθ)
= 1/cosθsinθ (Sin²θ + cos²θ = 1)
≠ cosθsinθ
Since L.H.S = Sinθ/cosθ + cosθ/sinθ = 1/cosθsinθ ≠ R.H.S = cosθsinθ, the equation is not an identity.
the value of x varies directly with y and inversely with z. when x=4,and y=12, z=6. what is the value of k?
A. K=6
B. K=2
C. K=18
D. K=288
Answer:
B
Step-by-step explanation:
Given x varies directly with y and inversely with z then the equation relating them is
x = [tex]\frac{ky}{z}[/tex] ← k is the constant of variation
To find k use the condition when x = 4 and y = 12, z = 6 , then
4 = [tex]\frac{12k}{6}[/tex] ( multiply both sides by 6 )
24 = 12k ( divide both sides by 12 )
2 = k → B
The value of the constant 'k' will be 2. Then the correct option is C.
What are ratio and proportion?A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.
The value of x varies directly with y and inversely with z. Then the proportionality is written as,
x ∝ y ...1
x ∝ 1 / z ...2
Then the combined proportionality is given as,
x ∝ y / z
x = ky / z
At x = 4, y = 12, and z = 6, then the value of the constant 'k' will be given as,
4 = 12k / 6
Simplify the equation, then the value of the constant 'k' is calculated as,
4 = 12k / 6
4 = 2k
k = 4 / 2
k = 2
The worth of the steady 'k' will be 2. Then, at that point, the right choice is C.
More about the ratio and the proportion link is given below.
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The rectangular floor of a classroom is 20 feet in length and 32 feet in width. A scale
drawing of the floor has a length of 5 inches. What is the area, in square inches, of the
floor in the scale drawing?
i cant find the answer anywhere else lol
25.6 square inches
20 divided by 5 is 4
32 divied by 5 is 6.4
Multiply them and get 25.6
i need HELP !!!!!!!!!!!!!!!!
Answer:
I think the solution is (p,q)=(-2,-5)
Solve for the variable x.
X=25
X=10
X=-25
X=11.66667
Answer:
Its 10 I think i could be wrong.
Step-by-step explanation:
The money used in Tajikistan is called the Somoni. The exchange rate is $7 = 22 Somoni. Find how many dollars you would receive if you exchanged 66 Somoni.
A: $207.43
B: $21
C: $16
D: $18
Answer:
B: $21
Step-by-step explanation:
Please help
-2x = x - 15
Answer: x=5
Step-by-step explanation:
subtract x from both sides
-2x-x=x-15-x
-3x=15
then divide both sides by -3
-3x=-15
-3x -3
x=5
hope this helps! please mark as brainliest! Thanks
Paul is buying packages of hot dogs for a camping trip. Each package is 30 oz. If he buys 4 packages, about how many pounds of hot dogs is he buying?
480 pounds
4 pounds
8 pounds
10 pounds
Answer:
8 pounds
Step-by-step explanation:
30 x 4 / 16 = 7.5 but abt 8
Answer:
8 pounds
Step-by-step explanation:
30 ounces = 1.875 pounds
1.875 * 4 = 7.5 rounded up = 8
A doctor took a random sample of n=6n=6n, equals, 6 patients to see how long they each spent in the waiting room. She wants to construct a ttt interval for the mean waiting time with 99\%99%99, percent confidence. The times in the sample were roughly symmetric with a mean of \bar x=8.5 x ˉ =8.5x, with, \bar, on top, equals, 8, point, 5 minutes and a standard deviation of s_x=2.8s x =2.8s, start subscript, x, end subscript, equals, 2, point, 8 minutes. What critical value t^*t ∗ t, start superscript, times, end superscript should she use? Choose 1 answer:
Answer:
4.032
Step-by-step explanation
Khan Academy
To find the critical value t^*t ∗t, start superscript, times, end superscript for a t-interval with 99% confidence and n=6, we need to use a t-distribution with degrees of freedom df=n−1=6−1=5.
What is t-distribution table?A t-distribution table is a table that lists critical values for the t-distribution.
The t-distribution is a probability distribution that is used in hypothesis testing when the sample size is small or when the population standard deviation is unknown. The table lists critical values for various levels of significance and degrees of freedom.
Using a t-distribution table or calculator with 5 degrees of freedom and a 99% confidence level, we find the critical value t^*t ∗t to be approximately 4.032.
Therefore, the doctor should use t^*t ∗t = 4.032 for constructing the t-interval for the mean waiting time.
Learn more about t-distribution at:
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Answer this question to get marked as brainliest!!!
Answer:
22
Step-by-step explanation:
180 - 90 - 68
Answer:
22
Step-by-step explanation:
Solve the system of equations below by graphing each line on the coordinate plane provided. Then place a point where the solution of the system occurs. 3x + 2y = 8 x + 2y = 4
Evaluate the expression below when n = 4. If needed, answer as a fraction or a decimal.
6(n+8) - 5n
When n is equal to 4, the expression 6(n+8) - 5n evaluates to 52. This means that if we replace the variable n with 4, the expression simplifies to the constant value of 52.
To evaluate the expression 6(n+8) - 5n when n = 4, we substitute n with 4 and simplify step by step:
First, we substitute n with 4 in the expression:
6(4+8) - 5(4)
Next, we simplify the parentheses:
6(12) - 5(4)
Multiplying within the parentheses:
72 - 20
Finally, we subtract the two values:
52
As a result, the formula 6(n+8) - 5n evaluates to 52 when n is equal to 4. This indicates that the expression becomes simpler if we substitute the variable n with the number 4, which is 52.
for such more question on expression
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Using the digits 1, 3, 5, 7 at most once, you can make many three-digit numbers. What is the maximum possible sum of two such distinct numbers?
Answer:
1504
Step-by-step explanation:
Given the digits :
1, 3, 5, 7
The maximum possible sum of two distinct three digit numbers formed from the digits above will be the sum of the the two hight possible three digit numbers that can be formed.
Highest three digit number = 753
Next highest = 751
The sum of these two. Values gives :
753 + 751 = 1504
The area of a rectangle is x^2-4/2x in.^2 and its length is (x+2)^2/2 in. What is the width in inches?
A. x(x+2)/x-2
B. x+2/x(x+2)
C. x-2/x(x-2)
D. x-2/x(x+2)
i need help fast!! and i’m almost failing
Answer:
well I would love to help-where is the pic...?
Find m
2x
(3x – 10)
D
E
B
mABC=
mZCBD-
Answer:
x--5
Step-by-step explanation:
2x+ x
find the distance between (-1,-4) and (5,4)
Answer:
10 units
Step-by-step explanation:
√(-1-5)²+(-4-4)²
√(-6)²+(-8)
√36+64
√100
10 units
Answer:
Step-by-step explanation:
1) how many 1/4's are in 2/3?
2) how many 5/12's are in 1/2?
Answer:
1) how many 1/4's are in 2/3 = 8/3
2) how many 5/12's are in 1/2?=6/5
Step-by-step explanation:
Customer Money Spent (in dollars) 1 $13 2 $46 3 $13 4 $87 5 $10 6 $5 7 $8 8 $16 9 $33 10 $57 A clothing store owner tracks the amount of money the last 10 customers spend in her store. The owner concludes that the typical amount spent by any customer is $28.80. The owner's conclusion A) is valid. The last 10 customers only bought sale items. B) is correct. This is the average amount spent by any customer. C) is invalid. This is not a good representation of all customers. Eliminate D) is unfair. The last ten people in the store may have been tired.
Answer:
Step-by-step explanation:
i think the anwer is c
find the solution of given expression
[tex] \sqrt{365 \times 365} [/tex]
Answer:
√(365×365)=√365²=±365
HELP ! The angle measurements in the diagram are represented by the following expressions.
A= 6x – 2
B= 4x + 48
solve for x and then find the measure of a
Answer: 148
Step-by-step explanation:
Answer:
148
Step-by-step explanation:
khan
what is the mean, median, mode and range of 7, 2, 1, 4, 1 (PLS DO NOT PUT ANY LINKS I AM USING THIS APP FOR HELP NOT FOR SCAM LINKS)
Answer:
Mean: 3
Median: 2
Mode: 1
Range: 6
Step-by-step explanation:
1.) The mean is the average of all the numbers. To find it, you add up all the numbers and then divide that by the amount of numbers. So, you would do: 7 + 2 + 1 + 4 + 1 = 15
15 ÷ 5 = 3
The mean is 3.
2.) The median is the middle number. In order to find it, you must put all the numbers in order:
1, 1, 2, 4, 7
The middle number is 2, so the median is 2.
3.) Mode is the number that appears the most often. Because 1 appears twice and the rest only appear once, the mode is 1.
4.) The range is the difference between the biggest and smallest numbers. Since 7 is the biggest number and 1 is the smallest, you would subtract them. 7-1 is 6, so the range would be 6.
4×+5 ayudenme por favor ;)
Answer:
There are no Like Terms.
Answer: 54=x
Step-by-step explanation:
9+10=?
A. 5
B. 14
C. 21
D. 19
Please help
Answer:
19
Step-by-step explanation:
is this a joke?
Option D. [tex]19.[/tex]
Step-by-step explanation:
[tex]10 + 9 = 19.[/tex]
An 8-foot roll of wrapping paper costs $9.60. What is the price per inch?An 8-foot roll of wrapping paper costs $9.60. What is the price per inch?An 8-foot roll of wrapping paper costs $9.60. What is the price per inch?
Answer:
$0.10
Step-by-step explanation:
STEPS TO ANSWERING THIS QUESTION
Convert the size of the wrapping paper to inches divide the total cost of the wrapping paper by the converted size1 ft = 12 inches
8 feet = 8 x 12 = 96 inches
price per inch = total length of the wrapping paper in inches / total cost of the wrapping paper
$9.60 / 96 = $0.10
Dr. Porterfield a financial counselor guru informed Mr. Halpayne he needs $2,000,000 saved if he intends to retire with his wives (7 of them) and not be homeless in future. Calculate the present value Mr. Halpayne needs if he intends to retire in 20 years provided he invests in a financial plan that pays 5% interest compunded monthly.
9514 1404 393
Answer:
$737,289
Step-by-step explanation:
The future value of an investment P invested at rate r per year compounded monthly for t years is ...
FV = P(1 +r/12)^(12·t)
We want to find P for the given future value, so we can solve for that:
P = FV/(1 +r/12)^(12·t) = FV(1 +r/12)^(-12·t)
P = $2,000,000(1 +.05/12)^(-240) = $737,289
Mr. Halpayne needs a present value of $737,289 to support his retirement.
The amount of money in a savings account is shown as a function of the number of days spent shopping. After 3 days of shopping how much money is left in the savings account.
A. 80$
B. 70$
C. 90$
D. None of the above
anwser is a
Step-by-step explanation:
What's the product of 3 2/3 and 14 2/5 ?
A. 52 4/5
B. 52 4/15
C. 54
D. 42 4/5
Answer:
52 4/5
Have a nice day! :)
Factor by using the distributive property: 8x - 4y + 20.
a.2(4x - 2y + 10)
b.8(x - y + 12)
c.4xy(2x - 2y + 5)
d.4(2x - y + 5)
Can someone please help me with this math question
Answer:
The answer would be D
Step-by-step explanation:
Most of the points are grouped together and can be define by a line or equation so there is a correlation between the outside temperatures and the heating cost so right away we can eliminate option A
There is no such thing as a constant correlation so we can eliminate answer choice C
As the temperatures rise ( or as the x values rise) the cost of heating decreases ( or the y values decrease) This is an example of negative correlation correlation because as one value increase the other value decreases.
this is also notable from looking at the graph .