Answer:
the solution to the equation is 8. Any value apart from 8 is not a solution
Step-by-step explanation:
Given the equation
6/3x+2 - 1/x-4 = 0
6/3x+2 = 1/x-4
Cross multiply
6(x-4) = 3x+2
6x - 24 = 3x+2
6x-3x = 2 + 24
3x = 24
x = 24/3
x = 8
Hence the solution to the equation is 8. Any value apart from 8 is not a solution
f(x)=2x+1
g(x)=x-5
calculate f(g(x))
Answer:
2x-9
Step-by-step explanation:
substitute g into f
2(x-5)+1
2x-10+1
2x-9
What is the common ratio of 7, -14, 28, -56
Answer:
multiplied by -2 I believe
Step-by-step explanation:
solve if x=11. x+44/2x
Answer:
substitute 11 into the equation:
[tex]\frac{11+44}{2(11)}[/tex] = [tex]\frac{55}{22}[/tex] or 2.5
Answer:
253
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightStep-by-step explanation:
Step 1: Define
x + 44/2x
x = 11
Step 2: Evaluate
Substitute in x: 11 + 44/2(11)[BPEMDAS] Divide: 11 + 22(11)[BPEMDAS] Multiply: 11 + 242[BPEMDAS] Add: 253
Help pleaseee I need some assistance right now
Answer:
69°
Step-by-step explanation:
if CA and AT are congruentsides, this means that the angle of C and T must also be the same.
In order for a triangle to be a triangle, they must meet the angle of 180 degrees.
We know CAT is = to 42
So we subtract 42 from 180 = 138 degrees
we then divide 138 by 2 and we get 69
angles c + t are both 69 degrees
Answer:
69°
Step-by-step explanation:
The measure of angle A is given as 42 and the sum of interior angles in a triangle is equal to 180° we subtract 42 from 180 and divide the result with 2 because this is an Isosceles triangle since |AC| = |AT| m<C = m<T
(180 - 42) ÷ 2 = 69°
A population of 42 fruit flies has increased
by 150%. What is the total number of fruit
flies after the increase?
what is the distant between (3,24) and (7,56)
3a+2b-8a+b
What is the answer
Step-by-step explanation:
3a+2b+8a-bCombine like terms Like tems are 3a and -8a3 a - 8 a = -5a-5a +2b+ bcombine like terms2b +b = 3btherefore the answer is -5a + 3bHope it helpfulsolve each equation for given variable
-5i– 25 = 25
Answer:
-4
Step-by-step explanation:
-5i - 25 = 25
+25. +25
-5i = 50/-5
i = -4
A triangle has the length of 8.3 and a height of 6.4. What is the area?
Answer:
Formula Bh x 1/2, so 26.56 is your answer
Multiply 8.3 x 6.4 to get 53.12 then divide it by 2 which is 26.56
Answer:
26.56
Step-by-step explanation:
lily bought a hockey stick priced at $75 but it was on sale for 25% after 10% sales tax,what is the total cost? I NEED HELPPPPPPPPPPPPPPP
What is the difference? Complete the equation.
-2 1/4 - (-3/4)
Answer:
-1.5
Step-by-step explanation:
Alejandro was curious if sample median was an unbiased estimator of population median. He placed ping pong balls numbered from 000 to 323232 in a drum and mixed them well. Note that the median of the population is 161616. He then took a random sample of 555 balls and calculated the median of the sample. He replaced the balls and repeated this process for a total of 505050 trials. His results are summarized in the dotplot below, where each dot represents the sample median from a sample of 555 balls. A dot plot for a sample median has a scale from 0 to 30. The number of dots for each is as follows. 0, 0. 1, 0. 2, 0. 3, 0. 4, 1. 5, 1. 6, 2. 7, 1. 8, 0. 9, 1. 10, 5. 11, 3. 12, 2. 13, 4. 14, 1. 15, 3. 16, 4. 17, 4. 18, 1. 19, 2. 20, 4. 21, 2. 22, 0. 23, 1. 24, 2. 25, 1. 26, 1. 27, 0. 28, 2. 29, 2. 30, 0. Based on these results, does sample median appear to be a biased or unbiased estimator of population median
Answer:
Sample median appears to be an unbiased estimator of the population median
Step-by-step explanation:
The sample median appears to be centered near 16
The required sample median appears to be an unbiased estimator of the population median
What are dot plots?A dot plot defined as a collection of plots or dot diagrams is a simple form of data illustration that consists of data points plotted in the form of dots on a graph with axes.
Here,
He placed ping pong balls numbered from 0 to 32 in a drum and mixed them well.
The median of the population is 16. So the sample median appears to be centered near the 16. He replaced the balls and repeated this process for a total of 50 trials.
When plotting the dot plot of the given system, it is summarised that the sample median appears to be an unbiased estimator of the population median.
Learn more about dot plots here:
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Disposable income is the amount available for spending and saving after taxes have been paid and is one gauge for the state of the economy. Using U.S. Energy Administration data for selected years from 2010 and projected to 2040, the total U.S. disposable income, in billions, can be modeled by D(t) = 10,020e0.02292t where t is the number of years past 2010. In what year is disposable income predicted to be $17 trillion (that is, $17,000 billion)?
Answer:
The disposable income predicted to be $17 trillion in 2033.
Step-by-step explanation:
The disposable income, in billions, in t years after 2010 is given by the following function>
[tex]D(t) = 10020e^{0.02292t}[/tex]
In what year is disposable income predicted to be $17 trillion (that is, $17,000 billion)?
This is t for which [tex]D(t) = 17000[/tex]. So
[tex]D(t) = 10020e^{0.02292t}[/tex]
[tex]17000 = 10020e^{0.02292t}[/tex]
[tex]e^{0.02292t} = \frac{17000}{10020}[/tex]
[tex]\ln{e^{0.02292t}} = \ln{\frac{17000}{10020}}[/tex]
[tex]0.02292t = \ln{\frac{17000}{10020}}[/tex]
[tex]t = \frac{\ln{\frac{17000}{10020}}}{0.02292}[/tex]
[tex]t = 23[/tex]
2010 + 23 = 2033
The disposable income predicted to be $17 trillion in 2033.
mary ann is building a fence around the outer edge of a rectangular garden plot that measures 25 feet by 45 feet. She will set post 5 feet apart. How many post will she need?
Answer:
28
Step-by-step explanation:
find perimeter (25 + 25 + 45 + 45 = 140)
divide your perimeter by 5 (140 ÷ 5 = 28)
therefore you need 28 fence posts
Moshde runs a hairstyling business from her house. She charges $45 for a haircut and style. Her monthly expenses are $960. She wants to be able to put at least $1,200 per month into her savings account order to open her own salon. How many “cut & styles” must she do to save at least $1,200 per month?
Answer:
48 cuts and styles
Step-by-step explanation:
Moshde needs to make 48 haircuts and style per month to save $1,200.
Moshde makes $45 per haircut and yet incurs $960 in expenses every month.
She needs to cut enough hair that she makes the $960 in expenses and then a further $1,200 that she can put in savings.
The formula to find out the number of cuts she needs to make is:
= (Monthly expenses + Desired profit) / Profit per cut
= (960 + 1,200) / 45
= 2,160 / 45
= 48 hair cuts and style
In conclusion, Moshde needs to make 48 haircuts per month.
Find out more at https://brainly.com/question/13400675.
Think you can balance this scale?
Yes. balancing an unknown mass against a known mass.
Explanation:Hope it helps
#CARRYONLEARNING
What is the value of (4/3)^3
Answer:
64/27 = 2.37037037
Step-by-step explanation:
(4/3)^3
Calculate 4/3 to the power of 3 and get 64/27
64/27
can someone help me find the value of x
Answer:
x=52
Step-by-step explanation:
A triangle 3 interior angles add up to 180 so the third angle is 52. Since the two lines are parallel and have a transversal angle x and 52 are alternate interior angles so x=52
The citizens of a city were asked to choose their favorite type of pet. The circle graph shows how the citizens answered. If 95000 citizens answered the question, how many chose Cat?
Answer:
21% chose cats
Step-by-step explanation:
PLEASE HELP ME 20 POINTS + BRAINLIEST
what is 3/4 fraction as a mixed number
Answer:
0 3/4
Step-by-step explanation:
Answer:
3/4 is a proper fraction
Step-by-step explanation:
it can not be a mixed number
On a certain hot summer day, 738 people used the public swimming pool.The daily prices are 1.50 for children and 2.00 for adults.The receipts for admission totaled 1306.00 .How many children and how many adults swam at the public pool that day?
Answer:
A = 340 adult.
C = 398 children.
Step-by-step explanation:
Let the number of children be C
Let the number of adults be A
Translating the word problem into an algebraic equation, we have;
A + C = 738 .......equation 1
1.5C + 2C = 1306 .......equation 2
A = 738 - C .......equation 3
Substituting eqn 3 into eqn 2, we have;
1.5(738 - C) + 2C = 1306
1107 - 1.5C + 2C = 1306
1306 - 1107 = 2C - 1.5C
199 = 0.5C
C = 199/0.5
C = 398 children.
Now, to find the value of A.
From equation 3;
A = 738 - C
A = 738 - 398
A = 340 adult.
evaluate the given expression for x = -11
-3x-5
Answer:
28
Step-by-step explanation:
-3(-11)-5
33-5
28
What is the solution set for 7x - 3= 18, given the replacement set {0. 1. 2. 3. 4}?
0x=0
ox=1
x=2
X=3
Answer:
ANSWER IS X=3
Step-by-step explanation:
7(3)-3=18 So 7 times 3 minus 3 equals 18
Answer: it is x=3 and i have proof
Step-by-step explanation:
show the working pls :))
Answer:
$ 78.68
Step-by-step explanation:
The following data were obtained from the question:
Pay >>>>>>>>>> Frequency
40 – 59 >>>>>> 15
60 – 79 >>>>>> 58
80 – 99 >>>>>> 27
100 – 119 >>>>> 22
Mean pay =?
Next, we shall determine the class pay. This can be obtained by adding the pay together and dividing by 2 as shown below:
L => is the lower pay interval
U => is the upper pay interval
Pay >>>>>>>>>> Class pay [(L+U)/2)]
40 – 59 >>>>>> 49.5
60 – 79 >>>>>> 69.5
80 – 99 >>>>>> 89.5
100 – 119 >>>>> 109.5
Thus, the table becomes
Pay >>>>>> Class pay >> Frequency
40 – 59 >> 49.5 >>>>>>> 15
60 – 79 >> 69.5 >>>>>>> 58
80 – 99 >> 89.5 >>>>>>> 27
100 – 119 > 109.5 >>>>>> 22
The mean pay can be obtained as follow:
Summation of class pay and frequency (ΣCF) = (49.5×15) + (69.5×58) + (89.5×27) + (109.5×22)
= 742.5 + 4031 + 2416.5 + 2409
= 9599
Summation of frequency (ΣF) = 15 + 58 + 27 + 22
= 122
Mean pay = ΣCF / ΣF
ΣCF = 9599
ΣF = 122
Mean pay = 9599 / 122
Mean pay = $ 78.68
Therefore, the mean pay is $ 78.68
PLEASE HELP!! I HAVE 30 MINS
#1) 9a+2-6a
#2) -p^6
#3) 5n^2
#4) -10n^4+9-7n^5+n^6
Answer & Step-by-step explanation:
#1) 3a+2
#2) Please tell me what you need to find for this one in the comments
#3) Please tell me what you need to find for this one in the comments
#4) n^6−7n^5−10n^4+9
Hope this helps ;)
The legs of a right triangle measure 5 inches and 9 inches.
What is the measure of the smallest angle of the triangle?
Enter your answer, rounded to the nearest tenth of a degree, in the box.
Answer:
29.1
Step-by-step explanation:
Use logic.
Jk. Tan(x) = 5/9 so x = tan^-1(5/9)
Use a graphing calculator in degrees mode.
The measure of the smallest angle of the triangle would be equal to 29.1
What are trigonometric identities?Trigonometric identities are the functions that include trigonometric functions such as sine, cosine, tangents, secant, and, cot.
A right-angle triangle is a triangle that has a side opposite to the right angle the largest side and is referred to as the hypotenuse. The angle of a right angle is always 90 degrees.
We are given that the legs of a right triangle measure 5 inches and 9 inches.
We need to find the measure of the smallest angle of the triangle
Tan(x) = 5/9
Therefore, we have;
x = tan^-1(5/9)
x = 29.1
Learn more about trigonometric;
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A train moves at a speed of 280 feet in 30 seconds.How far did it travel in 1 minute?(pls help asap!)
Answer: A
Step-by-step explanation:
270/30
270÷30 = 9
30÷30 = 1
Help I don’t understand a little confusing
Answer:
40
Step-by-step explanation:
1. 2(l+w)
2. 2(17+3)
3. 2(20)
4. 2*20
King Soopers has two different sizes of sport drinks. Sigi wanted to make sure that he got the size with the better price. There was one that was 35 Fl Oz. for $1.29 and the other was 24 Fl Oz. for $1.20. Which size is the better buy?
I will give you brainliest