Answer:
1.31950791
Step-by-step explanation:
I don't actually know if this is correct
What is the solution to the equation 2/3x+1=1/6x-7?
A. x=-16
B. x=-4
C. x=4
D. =16
(2/3)x+1=(1/6)x-7
*Isolate the variable by subtracting (1/6)x from both sides*
0.5x+1=-7
*Subtract 1 from both sides*
0.5x=-8
*Divide both sides by 0.5*
A. x=-16
Hope this helps!!
Answer:
A
Step-by-step explanation:
To eliminate the fractions in the equation, multiply all terms by the lowest common multiple of 3 and 6, that is 6
4x + 6 = x - 42 ( subtract x from both sides )
3x + 6 = - 42 ( subtract 6 from both sides )
3x = - 48 ( divide both sides by 3 )
x = - 16
What is the degree of the polynomial? PLEASE answer both questions ASAP !
Answer:
Step-by-step explanation:
12
I believe
Given the sequence 2, 10, 50, 250,......where x = 0, 1, 2, 3,....., what is the first term?
A: 2
B: 10
C: 50
D: 250
The answer to this question is A
a is the best option
3x^2+7x+2 how to factor
[tex]3 {x}^{2} + 7x + 2 \\ = 3 {x}^{2} + 6x + x + 2 \\ = 3x(x + 2) + 1(x + 2) \\ = (3x + 1)(x + 2)[/tex]
Work is attached in the image provided.
For your second pair of binomials, (3x + 1)(x + 2), the product of the outer terms is 6x and the product of the inner terms is 1x and 6x + 1x = 7x which is the middle term in you're original trinomial.
So the second pair of binomials represents your answer.
The student council at woodland middle school is planning a field trip. They polled randomly selected teachers and students and asked what they want to eat for lunch. The result are shown in the table below. Which of the following statements is true?
19 percent of the people polled who preferred burgers were teachers.
Answer:
Option A is correct.
Step-by-step explanation:
According to results shown, we can say that option A is true.
In the burger column in above segment, we see that total number of students are 17 and total teachers are 4. Making it a total of 21.
So, [tex]\frac{4}{21}*100=19.04[/tex] ≈ 19% are teachers.
So, 19% of the polled people who preferred burgers were teachers.
Option B cannot be true as all the teachers were polled. Out of all 19% preferred burgers.
Option C is also not true because 19% was not from all the population. It was only from the teachers.
So, only option A is correct.
Jack wants to simplify the expression below.
(6.7x -3) - (3.4x - 1) + (2x - 2)
Answer the following questions.
1) How can Jack regroup the expression by Commutative Property?
2) After regrouping in step 1, how can Jack further simplify the expression by
Distributive Property?
3) What is Jack's final simplified expression?
Answer:
5.3x - 4 .
Step-by-step explanation:
(6.7x -3) - (3.4x - 1) + (2x - 2)
1. using the commutative property:
= 6.7x - 3 + 2x - 2 - (3.4x - 1) (we can remove the parentheses around the first 2 groups because they are added).
2. Using the distributive property on the last group:
= 6.7x - 3 + 2x - 2 - 3.4x + 1 (distributing the negative over the parentheses).
3. Now adding like terms we get:
5.3x - 4 (answer).
A baseball team bought 8 boxes of baseballs. If the team spent a total of 1,696,what was the cost of 1 baseballs
Answer:
1 box = 212
1 ball = 16
A house has increased in value by 29% since it was purchased. If the current value is $516,000, what was the value when it was purchased?
X=value of the house before increase
(100%+29%)X=516,000
(129%)X=516,000
1.29x=516,000 | divided by 1.29 both sides
X=400,000$ was the value when it was purchased
Answer:
The value of house $ 400,000
Step-by-step explanation:
Let x be the price of house when it was purchased,
∵ 29% of x = [tex]\frac{29x}{100}[/tex] = 0.29x
According to the question,
x + 29% of x = 516000
x + 0.29x = 516000
1.29x = 516000
[tex]\implies x=\frac{516000}{1.29}=400000[/tex]
Hence, the value of the house is $ 400,000 when it was purchased.
Help with this question ??
Answer:
5
Step-by-step explanation:
The average rate of change of f(x) in the closed interval [ a, b ] is
[tex]\frac{f(b)-f(a)}{b-a}[/tex]
Here [ a, b ] = [ 4, 8 ] and from the graph
f(b) = f(8) = 10
f(a) = f(4) = - 10, hence
average rate of change = [tex]\frac{10-(-10)}{8-4}[/tex] = [tex]\frac{20}{4}[/tex] = 5
What is the center of the circle? Please show steps!
Answer:
A. (0, 4)Step-by-step explanation:
The equation of a circle:
[tex](x-h)^2+(y-k)^2=r^2[/tex]
(h, k) - center
r - radius
We have the equation:
[tex]x^2+(y-4)^2=25\\\\(x-0)^2+(y-4)^2=5^2[/tex]
h = 0, k = 4, r = 5
Which system of equation cannot be directly solved by applying the elimination method?
I think the answer is C
The elimination method may not be applied directly to solve systems involving nonlinear, transcendental, or linearly dependent equations, demanding more complex techniques for solutions.
A system of equations cannot be directly solved by applying the elimination method if the system involves equations that are not linear or if the equations are dependent in such a way that one cannot eliminate variables easily.
For instance, in the case of two simultaneous transcendental equations, it may be impossible to solve the system through algebraic means using elimination.
In such scenarios, iterative methods like an extension of the Newton-Raphson technique might be necessary. Moreover, dealing with systems of differential equations also requires different approaches, such as the use of matrices or integrating factors when the equations are linearly dependent.
P(A)=0.22 and P(B)=0.46
Find P(A OR B)
In general, the probability of a disjunction is
[tex]P(A \lor B) = P(A)+P(B)-P(A\cap B)[/tex]
In this case, A and B are mutually exclusive, so [tex]P(A\cap B)=0[/tex]
This simplifies the formula to
[tex]P(A \lor B) = P(A)+P(B) = 0.22+0.46 = 0.68[/tex]
how to write 26591 in expanded form
The expanded form is 26,000 + 500 + 90 + 1
Step-by-step explanation:Expanded form of any digit is to divide that number into its units, tens, hundreds, thousands and so on.
Since we are given with 26591
So
The expanded form will be
26,000 + 500 + 90 + 1
Julianne and Derek made signs for their school spirit week. Julianne made a sign that is 3 1/2 feet long. Derek made a sign that is 5/6 as long as Julianne’s sign. How long is the sign Derek made?
Answer:
2 2/3 is what I got
Step-by-step explanation:
subtract 5/6 from 3 1/2
Final answer:
Derek's sign is 2 feet and 11/12 of a foot long, as we multiply 7/2 (Julianne's sign length in improper fraction) by 5/6 (the length ratio of Derek's sign to Julianne's) to get the answer.
Explanation:
To find the length of the sign Derek made, we need to calculate 5/6 of the length of Julianne's sign. Julianne's sign is 3 1/2 feet long. To facilitate the multiplication, we first convert 3 1/2 feet to an improper fraction, which is 7/2 feet.
Now, we multiply 7/2 (the length of Julianne's sign) by 5/6 (the factor by which Derek's sign is shorter).
(7/2) × (5/6) = 35/12 feet
To simplify 35/12, we divide 35 by 12, which equals 2 with a remainder of 11. Therefore, Derek's sign is 2 feet and 11/12 of a foot, or approximately 2.92 feet long.
The National Research Council recommends keeping 3:1 cooper to zinc ration in a horse’s diet.if the horse is getting 420mg of zinc per day , how many milligrams of copper does the council recommend the horse to have?
Answer:
1,260 mg of copper.
Step-by-step explanation:
This is because in a 3 to 1 ratio, the first number has to be 3 times the second number which is just multiplied by one. since zinc is the second number, it stays the same but the copper as to be 3 times the amount of zinc so 420 mg times 3 which equals 1,260.
Answer:140
Step-by-step explanation:
a circular native american dwlelling has a diameter of 24 feet. how much are inside the home? use 3.14 for { } (pi)
Answer :
[tex]A = 452.16 \: {ft}^{2}[/tex]
step-by-step explanation:
From the question,
the diameter:
[tex]d = 24 \: ft[/tex]
The radius :
[tex]r = \frac{diameter}{2}= \frac{24}{2}=12 \: ft[/tex]
[tex]\pi = 3.14[/tex]
Area of a circle is given as
[tex]A = \pi {r}^{2} [/tex]
By substitution,
[tex]A = 3.14( {12}^{2} )[/tex]
[tex]\implies \: A = 3.14 \times 144[/tex]
[tex]\implies \: A = 452.16 \: {ft}^{2} [/tex]
Hence the area of the home is
[tex]A = 452.16 \: {ft}^{2}[/tex]
QUICKKKKKK 12 points !!!
Which of the following equations best represents the trend line for the scatter plot shown below
- Y= 1/3x+8
- Y=3x+5
- Y= 3x+8
Answer:
y = 3x + 5
Step-by-step explanation:
First start at your y intercept (5) and use the rise to run ratio (rise 3, run 1) and there is a point on every single one.
1/3 wouldn't work because you rise 1 and go right 3 and that does not match any of the points
Using the two points first gives us a slope of 3
(1, 8) (2, 11)
m(slope) = (y2 - y1)/(x2 - x1)
m = (11 - 8)/(2 - 1)
m = 3/1
m = 3
We also know that 8 cannot be the intercept being as it is the point at x = 1. Therefore, we know that y = 3x + 5 must be the only possible answer.
Answer:
The answer is B. y = 3x+5
Step-by-step explanation:
Help me anyone please
X< or equal to 8 because x is less than 8 or equal to 8 and x is any number that could be 8 or any number that is less.
what is 24 + 68 + 1032
Answer:1124
Step-by-step explanation:
♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫
➷ 24+68+1032
First:
Add 24 and 68
24+68=92
Next add 92 to 1032
92+1032=1,124
Final answer:
1,124
✽
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TROLLER
If it takes 4 workers ,4 hours to dig 4 wholes, how long would it take 2 workers to dig 6 holes?
Answer:
2 workers will take 12 hours to dig six holes
Two workers take 12 hours to dig 6 holes.
What is unitary method?The method in which first we find the value of one unit and then the value of the required number of units is known as the Unitary Method.
Let t be the time taken by the two workers to dig a six hole.
According to the given question.
4 workers take 4 hours to dig 4 holes.
So, the number of hours taken by the one workers to dig a one hole is given by
Number of hour taken by a single worker to dig 1 hole = [tex]\frac{4 \times 4}{4}[/tex] = 4hours
Therefore,
The time taken by 2 workers to dig 6 holes is given by
[tex]\frac{4\times 4}{4} = \frac{2\times t }{6} \\\implies 4 \times 6 = 2\times t\\\implies 24= 2\times t\\\implies t = \frac{24}{2} \\\implies t = 12 hours[/tex]
Hence, two workers take 12 hours to dig 6 holes.
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Ratio and Proportion can be used to convert weights between different systems of measurement. True False
The answer you are looking for is true
Answer:
The answer is true.
Step-by-step explanation:
Ratio and Proportion can be used to convert weights between different systems of measurement. This is true.
When we are given any problem with different measurements, then we should first convert the problem in such a unit that all units are the same.
We can define ratio as a comparison between two numbers.
Whereas the proportion is a comparison between two ratios.
which step should be used to prove that point P is equidistant from points R and Q
Step-by-step explanation:
1. If any one side and any one common angle are equal in triangles PQR and PRS, then their corresponding sides are also equal.
2. If two sides and one included angle are equal in triangles PQS and PRS, then their third sides are equal.
3. In triangles PQR and PQS, if one side and one angle are equal, then their corresponding sides and angles are also equal.
4. In triangles PRS and PQS, all three angles are equal.
Which function represents the given graph? f(x) = 100 · ()x f(x) = (100 · )x f(x) = 100 + x f(x) = 100 · ()x
Answer:
The first one f(x)= 100 · (3/5)^x
Step-by-step ex
Answer:
A. f(x)=100 . (3/5)x
Step-by-step explanation:
With the information which of these conclusions is reasonable
Answer:
the variability of tempuratures in town A and town B was the same
Meryl needs to cut down 10.5 trees for every 5 cabins she builds. how many trees will she need to cut down if she builds 7 cabins?
Answer:
14.7 trees
Step-by-step explanation:
First you need to find how many trees she cuts down to build one cabin. So you divide:
10.5/5=2.1
She cuts down 2.1 trees to make one cabin.
Next you multiply:
2.1*7=14.7
I need help understanding this problem I just joined my new school and I don’t understand this can someone help me?
Answer:150
Step-by-step explanation:p
100
×
18
=
27
100
18
×
p
100
×
18
=
100
18
×
27
100
18
×
p
100
×
18
=
2700
18
p
=
2700
18
p
=
150
Help!!! Plzzzz! Thx btw! (If u helped me)
Answer:
-4×5+3=,lost 20 pounds and gained 3 pounds
Step-by-step explanation:
Solve step by step
3^(2x+4)=17
3^(2x+4)=17
We move all terms to the left:
3^(2x+4)-(17)=0
We move all terms containing x to the left, all other terms to the right
3^(2x+4)=17
A couple of college students frustrated with the current class registration process decide to survey 500 random students on campus they find that 84% are also dissatisfied what is the standard deviation of this binomial distribution
a. 8.2
b. 420.0
c. 67.2
d. 0.1
➷ Standard deviation = [tex]\sqrt{(n*p)(1 - p)}[/tex]
Substitute the values in:
[tex]\sqrt{(500 *0.84)(1-0.84)}[/tex] = 8.1975...
This can be rounded to give an approximate answer of 8.2
The answer is option A.
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What is the area of sector BEC when CE = 9 yd?
A circle is a curve sketched out by a point moving in a plane. The area of sector BEC when CE = 9 yd is 84.823 yds².
How to find the area of a sector of a circle?The sector of a circle is like a slice of a circular pizza. Its two straight edge's having an angle, and the edge's length(the radius of the circle) are two needed factors for finding the area of that sector.
Since the whole circle with radius 'r' units have 360 degrees angle on the centre of the circle, and its area is
πr² unit², thus, as the angle lessens, this area gets lessened.
360 degree => πr² unit²
[tex]\rm area\ 1 degree = \pi r^2 \: \rm unit^2/360 area\\\\x\ degree = \dfrac{x \times \pi r^2}{360} \: \rm unit^2 area[/tex]
Thus, the area of a sector with edge length 'r' units and interior angle 'x' degrees is given as:
[tex]A = \dfrac{x \times \pi r^2}{360} \: \rm unit^2 area[/tex]Given the length of the radius of the circle, CE is 9 yds. Also, the measure of the ∠BEC at the centre of the circle is 120°. Therefore, the area of sector BEC can be written as,
Area BEC = π × r² × (θ/360°)
= π × 9² × (120° / 360°)
= 84.823 yds²
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