Answer:
t = 5/2
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightEquality Properties
Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of EqualityAlgebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
3t + 7 = 2 + 5t
Step 2: Solve for t
[Subtraction Property of Equality] Isolate t terms: 7 = 2 + 2t[Subtraction Property of Equality] Isolate t term: 5 = 2t[Division Property of Equality] Isolate t: 5/2 = tRewrite: t = 5/2Answer:
t = ⁵⁄₂ or 2.5Explanation:
3t + 7 = 2 + 5t
Simplify both sides of the equation3t + 7 = 5t + 2
Subtract 5t from both sides3t + 7 − 5t = 5t + 2 − 5t
−2t + 7 = 2
Subtract 7 from both sides−2t + 7 − 7 = 2 − 7
−2t = −5
Divide both sides by -2
−2t / -2 = −5 / -2
Simplifyt = ⁵⁄₂
Turn the fraction into a decimalt = 2.5
t = ⁵⁄₂ or 2.5
Find the area of the figure
Answer:
186.66
Step-by-step explanation:
what is the domain of the relation {(0,1),(2,4),(3,7),(5,4)}
Answer:
(0 2,3,5)
Step-by-step explanation:
Domain is the x factor of every relation
Chang has 2 shirts: a white one and a black one. He also has 2 pairs of pants, one blue and one tan. What is the probability, if Chang gets dressed in the dark, that
he winds up wearing the white shirt and tan pants? Show your work.
Answer:
1/4
Step-by-step explanation:
White = w
Black = B
Blue = b1
Tan = t
Wb1
Wt
Bbi
Bt
The answer will be 1/4, because there are 4 ways it can work and only 1 way it can be white shirt and tan pants.
Answer:
1/4
Step-by-step explanation:
it would be 1/4 because there are 4 different clothing pieces in total and there is only one way it would work the way the problem says.
cuanto es 1 mas 1? dende ecuaciones y detalles es para mi examen virtual please
Answer:
2
Step-by-step explanation:
1+1=2
gordan types 1800words in 25minutes words per minute
Answer:
ok? if the question is how many words does he type in a minute the answer is 72
Step-by-step explanation:
Answer:
72 is right i check
Step-by-step explanation:
he/she comment the same so it was there idea
There are six households in a rural community. Each household earns $40,000 per year. Suppose that a new resident builds a mansion in the community and that the income in the new household is $4 million per year. After the new resident arrives, the median household income has _____, and the mean household income has _____. increased; increased not changed; increased not changed; not changed increased; not changed
Answer:
Median income has not changed
Mean income has increased
Step-by-step explanation:
Initial number of houses = 6
Earning per household = $40,000
The initial mean :
$(40,000 * 6) / 6 = $40000
Initial median :
40000, 40000, 40000, 40000, 40000, 40000
= 1/2(n+1)th term,
Median = 40000
A 7th household earns 4,000,000
Mean = ((40000*6) + 4,000,000) / 7 = $605,714
Median = 1/2(n+1)th term
40000, 40000, 40000, 40000, 40000, 40000, 4000000
Median = 4th term = 40000
Done
Handout
You Try!
Mrs. Ball's cat weighed 1.8 kilograms. How
many grams does her cat weigh?
Rememember King Henry
K
D BASE
D с M
UNIT
kulo) Becto. Doka- M, L, 6 Decl. Conti- Man
1 kg = 1000g
1.8 x 1000 = 1800g
A
-2+
Which graph represents the
function y = tan x?
B
2T
2T
D
-2+1
21
4+
ㅠ
2T
2πT
The graph that represents the function y= tanx is Option A.
What is the description of the above function?The graph of y =tan (x) is a periodic function that has vertical asymptotes at x = (n + 1/2)π, where n is an integer.
It oscillates between positive and negative infinity, creating a wave- like pattern.
It has a repeating pattern of sharp peaks and valleys, exhibiting both positive and negative slopes.
Thus, option A is the correct answer.
Learn more about graph:
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Sarah needs to cut 7 and a half feet of ribbon
into 2 and 2/3 feet pieces. How many pieces will
she be able to make ?
Answer:
2.625 or 21/8
Step-by-step explanation:
What are the new vertices?
Answer:
the answer is option c.
Step-by-step explanation:
please mark me brainliest.
Consider the function f(x)=4x2+4x+1. What is the vertex of the function?
Answer:
The vertex of the function \(f(x)=4x^{2} +4x+1\) is \((-\frac{1}{2} ,0)\)
Step-by-step explanation:
I've graphed this on desmos for a visual
Suppose that you are checking your work on a test, and see that you have computed the cross product of v=i+2j−3k and w=2i−j+2k. You got v×w=i+8j−5k. Without actually redoing v×w, how can you spot a mistake in your work?
One way to check for a mistake in your work without redoing the cross product is to use the anti- commutative property of the cross product
One property of the cross product is that it is anti-commutative, which means that the order of the vectors matters:
v × w = - (w × v)
Using this property, we can compute w × v and compare it to the result that we got:
w × v = -(2i-j+2k)×(i+2j−3k)
= -2i×i -(-j)×2j + 2k×(-3k)
= -\(2i^2\) -\(2j^2\) -\(6k^2\)
= -2(-1) -2(-1) -6(1)
= 2
Therefore, w × v = 2(-i+2j+3k)
If the result we got, v × w=i+8j−5k, is correct, then we should have:
v × w = - (w × v)
i+8j−5k = -(-i+2j+3k)
i+8j−5k = i-2j-3k
Simplifying this equation, we get:
10j - 8k = 0
This equation is not satisfied by the vector i+8j-5k, so we can say, that there must be a mistake in our work.
For more such questions on cross product
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A family made three trips to the grocery store in one month. What was the total amount of money spent on groceries for the month?
Answer:
Step-by-step explanation:
So, first they spend $100
The next week, they spend 20% less than $100, so they spent $80 that week.
The 3rd week, they spend 3/4 of $80, so they spend $60 that week.
Finally, we add the spent money from the 3 weeks (100 + 80 + 60) and get $240. I hope this helps!
What is the value of t that satisfies the equation below? 3(t + 4) – 2(2t + 3) = -4
Answer:
10
Step-by-step explanation:
Chuck has a gross pay of $815.70. By how much will Chuck’s gross pay be reduced if he has the following items withheld?
federal tax of $56
Social Security tax that is 6.2% of his gross pay
Medicare tax that is 1.45% of his gross pay
state tax that is 19% of his federal tax
Answer:
Step-by-step explanation:
i think its 273.37
3x^2+ 5x − 2 = 0 solve
SHOW ALL WORK AND STEPS FOR BRAINLIEST
9514 1404 393
Answer:
x = -2 and x = 1/3
Step-by-step explanation:
The simple way to solve this is to enter the equation into a graphing calculator and have it show you what the zeros are.
The solutions are x = -2 and x = 1/3.
__
One way to solve this is to factor it. The product of the leading coefficient and the constant is (3)(-2) = -6. You want to find factors of this number that have a sum equal to the coefficient of the linear term: 5.
-6 = (-1)(6) = (-2)(3) = ...
The first pair of factors listed here has a sum of 5, so we can rewrite the equation as ...
3x^2 -x +6x -2 = 0
Factoring pairs of terms, we have ...
x(3x -1) +2(3x -1) = 0
(x +2)(3x -1) = 0
The solutions are the values of x that make these factors zero:
x + 2 = 0 ⇒ x = -2
3x -1 = 0 ⇒ x = 1/3
The solutions are x = -2 and x = 1/3.
0.5 to the second power x (20-2 to the third power x 3)x(2/5x25)
Answer:
489
Step-by-step explanation:
In a class of 60 students, 26 received a grade of A. What fraction of the class did not receive an A? Reduce to the lowest terms.
Answer
Answer:
\(\frac{17}{30}\)
<3
What is the point slope equations for a line that passes through the points (-3,-1) and (6,-8)?
Is anyone good with Math or History
The probability of passing at least one will be 0.70.
We know that,
Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.
here, we have,
Probability of passing history course = 0.59
Probability of passing math course = 0.60
Probability of passing both courses = 0.49
so, we get,
Probability of passing at least one will be
⇒ 0.59 + 0.60 – 0.49
⇒ 0.70
More about the probability link is given below.
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complete question:
A student is taking two courses, history and math. the probability the student will pass the history course is 0.59, and the probability of passing the math course is 0.60. the probability of passing both is 0.49. what is the probability of passing at least one?
What is (-2,-2) and (-10,-9) on slope
Answer:
y=7/8x
Step-by-step explanation:
You use y2-y1/x2-x1 so we plug in the numbers into the equation
-9-(-2)/-10-(-2)=7/8
y=7/8x if in slope-intercept form
Please help, I need to do this assignment now!
A given data set has a symmetrical shape.
Which statement is true about the data set?
(There are no attachments to this question.)
Answer: The mean is equal to the median.
Step-by-step explanation:
Median is the middle value of a given data set. In asymmetric distribution, the data on the left side of the median is equal to the data on the right side of the median. Therefore, the mean of that data is equal to the median of the symmetric distribution.
Un camión va cargado con 3796 kg de patatas. En una frutería descarga 6 sacos de 50 kg cada uno. ¿ Cuanto pesa ahora la carga del camión?
The current weight of the truck is given as follows:
3496 kg.
How to obtain the current weight of the truck?The current weight of the truck is obtained applying the proportions in the context of the problem.
The initial weight of the truck is given as follows:
3796 kg.
The weight removed from the truck is given as follows:
6 x 50 = 300 kg.
Hence the current weight of the truck is given as follows:
3796 - 300 = 3496 kg.
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Can someone check my answers for Question 1 & 2.
Find the corresponding sides and corresponding angles for each pair of figures. Complete each statement.
Answer:
You're spot on, good job!
(for the last answer, ∠P correlates to ∠R)
A Father is three times as old as his son. Five years later he will be only 2 ½ times older than his son: Find their present age
Answer: the present age of son is 15 years, and the present age of father is 45 years.
Step-by-step explanation:
Let the age of son be 'x' and that of his father be 'y'.
So according to the question, the 1st equation that can be formed will be:
y = 3(x) ->(1)
[as father's age is 3 times the age of son]
Now after 5 years:
Age of son = (x+5)
Age of father = (y+5)
So according to the question, the 2nd equation that can be formed will be:
(y+5) = 2.5×(x+5) ->(2)
[as father is now two and half times old as his son]
Substituting the value of equation (1) in (2), we get:
(3x+5) = 2.5×(x+5)
=> 3x + 5 = 2.5x + 12.5
=> 3x - 2.5x = 12.5 - 5
=> 0.5x = 7.5
=> x = 7.5/0.5 = 15
Thus, the present age of son is 15 years.
Note : we can calculate the age of father by putting the value of x in equation (1) or (2):
y = 3(x) = 3 × 15 = 45 (putting x in equation 1)
Thus, the present age of father is 45 years.
Find the probability that a randomly generated bit string of length 10 does not contain a 0 if bits are independent and if a 0 bit and a 1 bit are equally likely.
Answer:
Step-by-step explanation:
From the given information; Let's assume that R should represent the set of all possible outcomes generated from a bit string of length 10 .
So; as each place is fitted with either 0 or 1
\(\mathbf{|R|= 2^{10}}\)
Similarly; the event E signifies the randomly generated bit string of length 10 does not contain a 0
Now;
if a 0 bit and a 1 bit are equally likely
The probability that a randomly generated bit string of length 10 does not contain a 0 if bits are independent and if a 0 bit and a 1 bit are equally likely is;
\(\mathbf{P(E) = \dfrac{|E|}{|R|}}\)
so ; if bits string should not contain a 0 and all other places should be occupied by 1; Then:
\(\mathbf{{|E|}=1 }\) ; \(\mathbf{|R|= 2^{10}}\)
\(\mathbf{P(E) = \dfrac{1}{2^{10}}}\)
can someone help???///
Step-by-step explanation:
1/4 + 1/2 + ( 3 × 3/4) +( 3×1) + (4 × 1 1/4) + 1 1/2 = 12.5 hours
p(n) = -8n^2 + 9n, Find p(10)
Answer:
first
put the value of p(10) in the place n,
2-multiply -8×10^2+9×10
3-:- -8×100+90
4:-800+90=710ans
Graph The Line.
-2x+y= -6
Find the volume of a cone with a radius of 4 ½ m. and a height of 10 m.
The volume of the cone is approximately 211.06 cubic meters.
Why is that?
Well, the formula for the volume of a cone is:
V = (1/3)πr^2h
where:
Substituting the given values, we get:V = (1/3)π(4.5m)^2(10m)
V = (1/3)π(20.25m^2)(10m)
V = (1/3)π(202.5m^3)
V = 67.5π
Using a calculator, we get:
V ≈ 211.06 cubic meters
Therefore, the volume of the cone is approximately 211.06 cubic meters.