Answer:
three termsStep-by-step explanation:
and the answer for this is 5xy-5k+5xHow many inches are in 1.8 yards?
Answer:
64.8 inches is the correct answer.
Step-by-step explanation:
64.8in
The numerator of a fraction is 9 and the denominator is 6. All of the following numbers are equivalent except ____.
○ 2/3
○ 3/2
○ 1 ½
○ 18/12
Answer:
2/3
Step-by-step explanation:
Part A
There were 600 water samples taken for an experiment using pH and iron levels. The results are shown in the table.
What are the probabilities for the listed events? Write your answers as decimals rounded to the thousandths place.
Answer:
The answer to your problem is, 0.275 0.273 0.400 and 0.300
Step-by-step explanation:
My calculation ( May not be correct )
P ( low iron or LI ) \(\frac{165}{600}\) = 0.275
P ( low pH | LI ) = \(\frac{45}{165}\) = 0.273
P ( low pH ) = \(\frac{150}{600}\) = 0.400
P ( LI | Low pH ) = \(\frac{45}{150}\) = 0.300
Thus by making these calculations the answer to your problem is, 0.275 0.273 0.400 and 0.300
Please help me guys
a) If 2 Tan a = 3 Tan B, then show that Tan (a-B) =5 sin2b/5Cos 2B-1
Given that :-
2 tan A = 3 tan BProve that :-
Tan (a-B) = [ sin 2B/(5 – cos 2B)]Taking RHS :-
= sin 2B/(5 – cos 2B)] = [(2 tan B)/(1 + tan2B)]/ [5 – {(1 – tan2B)/(1 + tan2B)}]
= (2 tan B)/ [5(1 + tan2B) – 1 + tan2B]
= (2 tan B)/[5 + 5 tan2B – 1 + tan2B)
= (2 tan B)/(4 + 6 tan2B)
= (2 tan B)/[2(2 + 3 tan2B)]
= tan B/(2 + 3 tan B tan B)
Dividing the numerator and denominator by 2,
= [(1/2) tan B]/ [1 + (3/2) tan B tan B]
= [(3/2) tan B – tan B]/[1 + tan A tan B] {from (i)}
= (tan A – tan B)/(1 + tan A tan B)
= tan(A – B) = LHS
A DJ charges a $350 booking fee, plus an hourly rate of $45. The Martins want to book the DJ for a party that will last 5 hours. How much will the DJ charge them? answer
The DJ will charge them $575.
What are Expressions?Expressions are mathematical statements which consist of two or more terms and terms are connected to each other using mathematical operators like addition, multiplication, subtraction and so on.
Given that,
Booking fee for DJ = $350
Rate for an hour = $45
Let x be the number of hours DJ is lasting.
Expression to find the total charge for x hours is 350 + 45x.
The Martins want to book the DJ for a party that will last 5 hours.
Cost for the DJ party for Martins = 350 + (45 × 5) = $575
Hence the cost for the DJ party booked by Martins is $575.
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Which of the following are accurate factors of 3x2 – 75 when multiplied together? Select the two correct answers. (2 poin
03(x - 5)
(x + 5)
O (3x + 5)
(-5)
Answer:
First and last
Step-by-step explanation:
need help with this one keep getting wrong answer
Answer:
try socratic
Step-by-step explanation:
There are 3 boxes on stage that appear identical, but one is Lucky. The boxes are full of tickets; some are labeled "win" and the others are labeled "lose." In the Lucky box, ninety percent of the tickets are winners. In each of the other two boxes, only twelve percent of the tickets are winners.
1. You will pick a box at random and draw one ticket from it at random.2. What is the probability you will draw a winning ticket? 3. If you do draw a winning ticket, what is the chance it came from the Lucky box?
Answer:
2.-P = 0.38
3.-P [ Lb | Wt ] = 0.788
Step-by-step explanation:
1.-Probability of choosing any box is, 1/3. So the probability of choosing the lucky box is 1/3
Let´s say the lucky box is the number 2 box ( that consideration does not in any way change the problem generality)
Then we have
p₁ probability of choosing box 1 is 1/3 p₁´ Probability of win ticket is 0.12
p₂ probability of choosing box 2 is 1/3 p₂´Probability of win ticket is 0.90
p₃ probability of choosing box 3 is 1/3 p₃´ Probability of win ticket is 0.12
Then
P (of choosing a winning ticket is) = p₁*p₁´ + p₂*p₂´ + p₃*p₃´
P = 1/3*0.12 + 1/3*0.9 + 1/3*0.12
P = 0.04 + 0.3 + 0.04
P = 0.38
3.- if I draw a winning ticket what is the probability it came from Lucky box
According to Bayes theorem
P [ Lb | Wt ] = P(Lb) * P[ Wt|Lb]/ P(Wt)
P(Lb) = 1/3 = 0.33333
P[Wt|Lb] = 0.9
P(Wt) = 0.38
Then By substitution
P [ Lb | Wt ] = 0.333 * 0.9 / 0.38
P [ Lb | Wt ] = 0.788
solve the following system by any method
8x+9y=-5
-8x-9y=5
Here is your solution for the problem.
Thanks
5,10,15,20,25 what is the common difference
Answer:
The common difference in the given sequence is 5.
Step-by-step explanation:
The common difference in the sequence is 5 because they all add by 5 each time for example 5 + 5= 10 and 10+5=15
Evaluate the expression.
11 +4•\•2
Answer:
13
Step-by-step explanation:
→ Complete the division first
4 ÷ 2 = 2
11 + 2
→ Add
13
The fractions 15/25 and 12/20 are equivalent fractions. True False
Answer:
True
Step-by-step explanation:
\(\frac{15}{25} , \frac{12}{20} \\\\\frac{3}{5} , \frac{3}{5}\)
The answer is:
⇨ true
Work/explanation:
Let's simplify the two fractions first.
15/25
15 ÷ 5 / 25 ÷ 25
3 / 5
12/20
12 ÷ 4 / 20 ÷ 4
3 / 5
Since the fractions are equivalent, I come to the conclusion that the statement is true.
Which quadrilateral best describes the following characteristics?
Answer:
hopefully thats right
Step-by-step explanation:
All sides congruent; four right angles - square
all right angles; opposite sides congruent - rectangle
all sides congruent; no right angles - rhombus
opposite sides are parallel; no right angles - parallelogram
Answer:
All sides congruent;no right angles-Rhombus
All right angles;opposite sides congruent-Rectangle
All sides congruent;four right angles-Square
Opposite sides are parallel-Parallelogram
Step-by-step explanation:Evidence
Brainliest Me please
How many batches of ravioli can I make , from 1 gallon at $1.80 that requires 24 ounces
Answer:
5
Step-by-step explanation:
You can make 5 batches because theres 128 ounces in one gallon so youd divide 128 by 4 and get 5.333 etc. Then youd round to the nearest whole number.
Translate the following sentence into an equation using n to represent the unknown number. Then solve the equation for n.
six more than twice a number is 16
Answer:
n=5
Step-by-step explanation:
6 + 2n =16
2n÷2= 10÷2
n = 5
9. What is the slope of a line parallel to the line that passes
through the points (4, -2) and (5, -8)?
A school reserved a banquet hall for the spring dance. In addition to a $100 deposit, each couple must pay $20. If the total cost of the banquet hall is $1, 140. Solve the problem arithmetically. Show the steps you used.
Answer:
The total number of couples attending the banquet was 52.
Step-by-step explanation:
Given that a school reserved a banquet hall for the spring dance, and that, in addition to a $ 100 deposit, each couple must pay $ 20, to determine the total number of couples attending if the total cost of the banquet hall was $ 1,140 is due perform the following calculation:
100 + (20 x X) = 1140
20X = 1140 - 100
X = 1040/20
X = 52
Thus, the total number of couples attending the banquet was 52.
Find the equation for the line that passes through (-1, 10) that has slope 5/7. You do not need to simplify.
Give your answer in point-slope
Answer:
y = (5/7)x + (75/7)
Step-by-step explanation:
If you ever find yourself in a math class where you have to write the equation of a line that goes through a certain point and has a certain slope, don't panic. There is a simple formula that can help you out. It's called the point-slope form and it looks like this:
y - y1 = m (x - x1)
It may look scary, but it's actually pretty easy to use. All you have to do is plug in the values that you know and solve for the ones that you don't. For example, let's say you have a line that passes through the point (-1, 10) and has a slope of 5/7. You can use the point-slope form to write the equation of the line like this:
y - 10 = (5/7) (x - (-1))
See? That wasn't so bad. Now you can simplify the equation by distributing the 5/7 and adding 10 to both sides. You get:
y = (5/7)x + (75/7)
And that's it! You have written the equation of the line in slope-intercept form, which is another way of writing the equation of a line. You can check your answer by plugging in the values of x and y from the original point and seeing if they make the equation true. If they do, you're good to go. If not, you made a mistake somewhere and you should go back and fix it.
Congratulations! You have learned how to use the point-slope form to write the equation of a line. Now you can impress your math teacher and your friends with your skills. Remember, with great power comes great responsibility.
✧☆*: .。. That's all folks, have fun with math! (✧ω✧) .。.:*☆✧
Payments of $3,150 due 18 months ago and $3,950 due in three years are to be replaced by an equivalent stream of payments consisting of $2,850 today and two equal payments due two and four years from now. If money can earn 9.75% compounded semiannually, what should be the amount of each of these two payments?
Answer:
the answer for this question is $4,769.97
Step-by-step explanation:
Note that each of the two equal payments due two and four years from now should be approximately $1,446.48
How to compute the above?To find the amount of each of the two equal payments, we can use the concept of present value and set up an equation based on the given information.
The present value (PV) of a future payment can be calculated using the formula -
PV = Payment / (1 + (r/n))\(^{nt}\))
Where -
- PV is the present value
- Payment is the future payment
- r is the interest rate per compounding period
- n is the number of compounding periods per year
- t is the number of years
Given -
- Payment 1 - $3,150 due 18 months ago (1.5 years)
- Payment 2 - $3,950 due in three years
- Interest rate - 9.75% compounded semiannually
- Current payment - $2,850 today
- Two equal payments due two and four years from now
Let's solve for the amount of each payment -
First, let's calculate the present value of Payment 1 -
PV1 = $3,150 / (1 + (0.0975/2))³
= $3,150 / (1 + 0.04875)³
= $3,150 / (1.04875)³
≈ $2,875.49
Next, let's calculate the present value of Payment 2 -
PV2 = $3,950 / (1 + (0.0975/2))⁽³ˣ²⁾
= $3,950 / (1 + 0.04875)⁶
= $3,950 / (1.04875)⁶
PV2 ≈ $2,717.47
Now, let's set up the equation using the present values -
$2,850 + Payment 1 + Payment 2 = PV1 + PV2
$2,850 + Payment 1 + Payment 2 ≈ $2,875.49 + $2,717.47
Payment 1 + Payment 2 ≈ $2,875.49 + $2,717.47 - $2,850
Payment 1 + Payment 2 ≈ $5,742.96 - $2,850
Payment 1 + Payment 2 ≈ $2,892.96
Since the two equal payments are the same, let's denote each payment as P.
2P ≈ $2,892.96
Dividing both sides by 2 -
P ≈ $1,446.48
So , each of the two equal payments due two and four years from now should be approximately $1,446.48.
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An engineer designed a valve that will regulate water pressure on an automobile engine. The engineer designed the valve such that it would produce a mean pressure of 5.9 pounds/square inch. It is believed that the valve performs above the specifications. The valve was tested on 160 engines and the mean pressure was 6.0 pounds/square inch. Assume the variance is known to be 0.36. A level of significance of 0.05 will be used. Determine the decision rule.
Answer:
Calculated value Z = 2.1097 > 1.96 at 0.05 level of significance
There is a difference between the means
Step-by-step explanation:
Step(i):-
Given that mean of the Population = 5.9pounds/square inch
Given mean of the sample = 6.0pounds/square inch
Given that variance of the Population = 0.36
The standard deviation of the Population = √0.36 =0.6
critical value (Z₀.₀₅)= 1.96
Step(ii):-
Null Hypothesis:H₀: x⁻ = μ
Alternative Hypothesis:H₁: x⁻ ≠ μ
Test statistic
\(Z = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } }\)
\(Z = \frac{6.0-5.9 }{\frac{0.6}{\sqrt{160} } }\)
Z = 2.1097
Final answer:-
Calculated value Z = 2.1097 > 1.96 at 0.05 level of significance
The null hypothesis is rejected
There is a difference between the means
Write an algebraic expression for 7 times p. *
Answer:
7 times p = 7p
Step-by-step explanation:
The algebraic expression of 7 times p is 7p.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
7 times p.
This can be written as,
= 7p
Thus,
The expression is 7p.
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Eugene Madison obtained a 3-month loan of $2000 at an annual interest rate of 7.6%. Find the simple interest Eugene owes on the loan
The following is the simple interest formula
\(SI=P(rt)\)where,
SI=Simple interest
P=initial principal balance = $2000
r=annual interest rate = 7.6% = 0.076
t=time (in years) = 3/12
Therefore,
\(SI=2000(0.076\cdot\frac{3}{12})\)solving
\(SI=38\)Then, the simple interest is $38
Find area of trapezium with height 8cm and the sum of its parallel sides as 15cm
Answer:
The Area of the trapezium is \(60cm^2\)
Step-by-step explanation:
Given,
Height (h)= 8cm
Sum of the parallel sides (a+b)= 15cm
Area of trapezium = \(1/2*h*(a+b)\)
=\(1/2*8*15\)
=\(4*15\)
Area of trapezium=60cm^2
Answer: Area = 60 cm²
Step-by-step explanation:
To find the area of a trapezium we use the formula
Area of trapezium = 1/2 (sum of parallel sides) × height
∴ Area = 1/2 ×15 cm × 8 cm
= 60 cm²
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0.5 is a rational number.
True
False
Answer:
true
Step-by-step explanation:
Natural numbers are numbers naturally occurring in nature like 1, 2, 3, 4, 5, 6, 7, 8, 9 . . .
Whole numbers are numbers that are whole, like 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 . . . (the only difference is that there is a 0 included)
Integers include negative and positive numbers like -3, -2, -1, 0, 1, 2, 3, 4 . . .
Rational numbers are include all of the above AND anything that can be turned into a fraction, like fractions and decimals (that have an end) like 0.625, -0.5, 1, 4, 1/4, 6/15, 4.8, etc.
So in this case, yes, 0.5 is a rational number.
Answer:
true
Step-by-step explanation:
Order these decimals from least to greatest.
A) 12.205
B) 12.2
C) 12.25
PLEASEEE BE ACCURATE! FIRST PERSON WHO RESPONDS CORRECTLY GETS BRAINLIST!!
Tyrell is traveling to Chicago, Illinois. He takes a cab service from the airport to his hotel. The table shows the linear relationship between the number of miles the cab travels, x, and the total fee, y.
Cab Fare
Number of Miles Total Fee
2 $17.00
5 $21.50
7 $24.50
10 $29.00
15 $36.50
What does the y-intercept mean in this situation?
When the cab travels 0 miles, the total fee will be $14.00.
When the cab travels 0 miles, the total fee will be $1.50.
For every additional mile the cab travels, the total fee increases by $14.00.
For every additional mile the cab travels, the total fee increases by $1.50.
Answer:
The y-intercept in this situation means that when the cab travels 0 miles, the total fee will be $14.00. This indicates that the cab service charges a flat fee of $14.00, regardless of the number of miles traveled.
Step-by-step explanation:
The y-intercept in this situation represents the base fee that the cab service charges regardless of distance traveled. In this case, when the cab travels 0 miles, the total fee is $14.00.
Explanation:In this context, the y-intercept represents the base fee that the cab service charges, regardless of distance traveled. This is the amount you would pay for a cab ride of 0 miles. From the given table, we can't directly see the y-intercept, but we can infer it using the rate of change or slope, which represents the fee per mile. The amount increases by $1.50 for every additional mile (difference in y divided by difference in x), so to find the y-intercept, we back-calculate from one of the given points, like (2, 17). Subtracting 2 miles' worth of fees from $17 gives a y-intercept of $14. Therefore, when the cab travels 0 miles, the total fee is $14.00, which likely represents a starting charge or a minimum fare.
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help !!! If gasoline costs $2.399 per gallon at your local station, and you fill up your car with 11.25 gallons of gas, how much will you actually spend?
Answer:
26.8875
Step-by-step explanation:
Answer:
You will spend $26.98875 on gasoline
What is the solution of this inequality?
r−6>−11
Drag and drop the choices to correctly complete the inequality.
help
The solution to the given linear inequality, r - 6 > -11, is r > -5
Solving Linear InequalitiesFrom the question, we are to determine the solution of the given inequality
The given inequality is
r - 6 > -11
To determine the solution of the inequality, we will solve the inequality for the unknown variable.
In the inequality, the unknown variable is r.
Solving the inequality for r
r - 6 > -11
Add 6 to both sides
r - 6 + 6 > -11 + 6
r > -5
Hence, the solution is r > -5
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select all equations that are true when x is -4
Answer: A, C, and D
Step-by-step explanation:
Substitute -4 for X and solve
How do I GRAPH the SOLUTION to the inequalities AFTER solving them?
-138> -6(6b-7) Any help is appreciated greatly.
answer is b > 5
Step-by-step explanation: