Answers
Answer:
a is the answerStep-by-step explanation:
to understand thisyou need to know about:cross multiplicationPEMDASgiven:\( \frac{e + f}{a - d} = \frac{b}{a} \)let's solve:\(step - 1 : define \\ \frac{e + f}{a - d} = \frac{b}{a} \\ step - 2 : cross \: multiplication \\ b(a - d) = a(e + f)\)
The equivalent expression of (e+f)/(a-d) = b/a is a(e+f) = b(a-d). The correct option is A.
What are the equivalent expressions?Expressions that are equivalent to the same thing, even when they have distinct appearances. When we enter the same value(s) for the variable, two algebraic expressions that are equivalent have the same value (s).
Given:
An expression (e+f)/(a-d) = b/a.
To find the equivalent expression:
(e+f)/(a-d) = b/a
Using cross multiplication,
a × (e+f) = b × (a-d)
Simplifying,
a(e+f) = b(a-d).
In order to solve further, we can use the PEMDAS method.
ae + fa = ba - bd.
Therefore, a(e+f) = b(a-d) is an equivalent expression.
To learn more about the equivalent expression;
https://brainly.com/question/28170201
#SPJ2
Related Questions
I need help with this answer
Answers
Answer:
the answer is A.
Step-by-step explanation:
5^4 is just saying 5x5x5x5
Using only the markings given in the diagram, which triangle congruence criterion can be used to prove that PQR and STU are congruent?
Answers
Answer: HL
Step-by-step explanation:
If the hypotenuse and one leg of the two triangles are congruent, then the triangles are congruent. The correct option is D, HL.
What is the HL theorem?According to the HL theorem, If the hypotenuse and one leg of the two triangles are congruent, then the triangles are congruent. therefore, the hypotenuse will be congruent to each other, and the corresponding sides will be congruent to each other.
In the two of the given triangle, ΔPQR and ΔSTU, the following things can be seen,
PR ≅ SU (Leg of the triangle)
RQ ≅ TU (Hypotenuse)
Also, since the two of the triangles are right angle triangle, and the length of the one leg of the two triangles is equal, also, the hypotenuse of the two triangle is equal. Therefore, Using the HL postulate. The two triangles can be said to be congruent.
Hence, the triangle congruence criterion can be used to prove that PQR and STU are congruent is HL Congruency.
Learn more about HL theorem:
https://brainly.com/question/11804042
#SPJ5
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
Use the Binomial Theorem to find the binomial expansion of the given expression. Show your work.
\((2x-3y)^5\)
Answers
The binomial theorem states that: \((x + y)^n = \sum_{k=0}^n{n\choose k} x^{n-k}y^k\). So, the binomial expansion of (2x - 3y)⁵ is: \(32x^5 - 240x^4y + 720x^3y^2 - 1080x^2y^3 + 810xy^4 - 243y^5\).
Now, let's use the Binomial Theorem to find the binomial expansion of (2x - 3y)⁵. We will have to find the coefficients for each term. So, let's get started. n = 5x = 2xy = -3[nCr = n! / (r! * (n-r)!)]
Term k = 0: \( {5 \choose 0} (2x)^5 (-3y)^0\) = 32x⁵
Term k = 1: \({5 \choose 1} (2x)^4 (-3y)^1\) = -240x⁴y
Term k = 2: \({5 \choose 2} (2x)^3 (-3y)^2\) = 720x³y²
Term k = 3: \({5 \choose 3} (2x)^2 (-3y)^3\) = -1080x²y³
Term k = 4: \({5 \choose 4} (2x)^1 (-3y)^4\) = 810xy⁴
Term k = 5: \({5 \choose 5} (2x)^0 (-3y)^5\) = -243y⁵
Now we can combine all of these terms to form the binomial expansion of (2x - 3y)⁵:\((2x - 3y)^5 = 32x^5 - 240x^4y + 720x^3y^2 - 1080x^2y^3 + 810xy^4 - 243y^5\)
Therefore, the binomial expansion of (2x - 3y)⁵ is: \(32x^5 - 240x^4y + 720x^3y^2 - 1080x^2y^3 + 810xy^4 - 243y^5\).
For more questions on: binomial
https://brainly.com/question/30566558
#SPJ8
A merry-go-round can hold 36 people on each 5-minute ride. How many people would have received a ride on the merry-go-round in an hour?
Answers
Answer:
432
Step-by-step explanation:
The hour have 12 5 min (12*5=60)
So 36*12=432
Ali, Basti and Cian stand at three points A, B and C respectively. Suppose that the measure of angle ABC is 50 degrees , the measure of angle BAC is 60 degrees and Ali is exactly 150 ft away from Basti. Find the distance between Basti and Cian.
Answers
To find the distance between Basti and Cian, we can use the law of sines in triangle ABC. The law of sines states that the ratio of the length of a side to the sine of the opposite angle is constant for all sides and their corresponding angles in a triangle.
Let's label the distance between Basti and Cian as "x". We know that the measure of angle ABC is 50 degrees and the measure of angle BAC is 60 degrees. We also know that Ali is exactly 150 ft away from Basti.
Using the law of sines, we can set up the following equation:
sin(50°) / 150 = sin(60°) / x
To solve for "x", we can rearrange the equation:
x = (150 * sin(60°)) / sin(50°)
Using a calculator, we can evaluate the expression:
x ≈ (150 * 0.866) / 0.766
x ≈ 168.4 ft
Therefore, the distance between Basti and Cian is approximately 168.4 ft.
Write another ratio that’s is equilevent too.4:6
Answers
Answer:
There is 4/6 as a fration or 4.6
Step-by-step explanation:
Answer:
2:3 is equivalent to 4:6
Step-by-step explanation:
I know that these ratios are equivalent because each side of the ratio 4:6, are divided by the same number, 2, 4 divided by 2 is 2 and 6 divided by 2 is 3 which gives us a equivalent ratio of 2:3
The surface area of a sphere is 900pi cubic cm. What is the length of its diameter.
Answers
The length of the diameter of the sphere is 30 cm.
The surface area of a sphere is given by the formula:
\(A = 4\pi r^2\)
where A is the surface area and r is the radius of the sphere.
We are given that the surface area of the sphere is 900π cubic cm. Therefore:
\(A = 4\pi r^2 = 900\pi\)
Dividing both sides by 4π, we get:
\(r^2 = 225\)
Taking the square root of both sides, we get:
r = 15
The diameter of the sphere is twice the radius, so:
d = 2r = 30
Therefore, the length of the diameter of the sphere is 30 cm.
for such more question on sphere
https://brainly.com/question/28228180
#SPJ11
Evaluate each expression for the set of values given in a table 28-c^3+6
Answers
The complete table:
c 1 2 3
28 - c³ + 6 33 26 7.
What is a quadratic function?A polynomial function with one or more variables, where the largest exponent of the variable is two, is referred to as a quadratic function. In other terms, a "polynomial function of degree 2" is a quadratic function.
Given:
A quadratic expression is 28 - c³ + 6.
Let A = 28 - c³ + 6.
When c = 1,
then A = 28 - 1³ + 6 = 28 - 1 + 6 = 33
When c = 2,
then A = 28 - 2³ + 6 = 28 - 8 + 6 = 26
When c = 3,
then A = 28 - 3³ + 6 = 28 - 27 + 6 = 7.
Therefore, all the required values are given above.
To learn more about the quadratic function;
https://brainly.com/question/11485644
#SPJ1
A recipe calls for using 3/4 cup of brown sugar for each 2/3 cup of white sugar. How many cups of brown sugar are used per cup of white sugar.
Answers
So 3/4 / 2/3 =x/1 now you can cross multiple so 3/4*1=3/4 then 2/3*x=2x/3 then you can solve for x.
3/4=2x/3 multiple 3 to both sides so the 3 cancels with the denominator of 2x
9/4=2x then divide by 2 to both sides to get x alone
9/8=x
1.125=x
So for every 1 cup of white sugar you need 1.125 cups of brown sugar.
Do the following conditions make a unique triangle, more than one triangle or no triangle possible?
60°, 30°, 90°
a
unique triangle
b
more than one triangle
c
no triangle possible
Answers
Answer:
a- unique triangle
Step-by-step explanation:
30°-60°-90° is a special triangle so the answer is a
Can someone help me please?
Find the value of a parallelogram VWXY
a=
Answers
You can travel to New York San Francisco, or Miami during June July or August. How many possible outcomes are illustrated in the tree diagram?
a. 3
b. 6
c. 9
d. 18
Answers
The number of possible outcomes that can be illustrated in tree diagram is 9.
What does tree diagram explain?A new management planning tool called a tree diagram shows the hierarchy of activities and subtasks required to accomplish a target. A single item that branches into two or more, each of which branches into two or more, and so on, is the starting point of the tree diagram.
Is tree diagram a chart?A tree diagram is a type of chart that starts with one main thing, branches out into others, and keeps spreading out until the main item's line of inquiry has been thoroughly explored. The tree diagram's branching steps encourage you to make a methodical transition from the broad to the specific.
As according to given data you can travel to New York San Francisco, or Miami during June July or August.
According to given information the calculation is as follows:
From NewYork = 3
From San Francisco = 3
From Miami = 3
Total = 9
Therefore, number of possible outcomes is 9.
To learn more about tree diagram visit the link:
https://brainly.com/question/24391505
#SPJ4
I need explanation for example 8.
Thankyou
Answers
There is a probability of 94/315 that the problem will be solved.
We are given that P has a chance of solving the problem of 2/7, Q has a chance of solving the problem of 4/7, and R has a chance of solving the problem of 4/9. To find the probability that the problem is solved, we need to consider all possible scenarios in which the problem can be solved.
The probability of this scenario is 2/7. If P solves the problem, then it does not matter whether Q or R solve it, the problem is already solved. Therefore, the probability of the problem being solved in this scenario is 2/7.
The probability of this scenario is 4/7. If Q solves the problem, then it does not matter whether P or R solve it, the problem is already solved. Therefore, the probability of the problem being solved in this scenario is 4/7.
The probability of this scenario is 4/9. If R solves the problem, then it does not matter whether P or Q solve it, the problem is already solved. Therefore, the probability of the problem being solved in this scenario is 4/9.
The probability of this scenario is (1-2/7) * (1-4/7) * (1-4/9) = 3/35. This is because the probability of P not solving the problem is 1-2/7, the probability of Q not solving the problem is 1-4/7, and the probability of R not solving the problem is 1-4/9. To find the probability of none of them solving the problem, we multiply these probabilities together.
To find the probability of the problem being solved, we need to add the probabilities of all the scenarios in which the problem is solved. Therefore, the probability of the problem being solved is:
2/7 + 4/7 + 4/9 = 94/315
To know more about probability here
https://brainly.com/question/11234923
#SPJ1
What is 2 2/5 as a percentage? How would I plot on a number line?
Answers
Answer:
240%
Step-by-step explanation:
Times the two whole number by five, add the result to top number, divide by denominator.
find the reflection of (-1,-2) across the line y=2
Answers
Start by graphing the line y=2 and the point given
since the line y=2 is a straight line, then the reflection will stay on the same x coordinate and the y coordinate will be 4 units above the line.
The reflection will be at point (-1,6)
samples of rejuvenated mitochondria are mutated (i.e., defective) in 1% of cases. suppose that 15 samples are randomly selected and are considered to be independent for mutation. determine the following probabilitie
Answers
The probabilities are found using the binomial distribution as follows.
What is Binomial Distribution?Binomial distribution is the distribution of a random variable X for which there are only two possibilities. The probability p for the success and the probability of 1-p for the failure, which consist of n trials.
Given that,
Samples of rejuvenated mitochondria are mutated (i.e., defective) in 1% of cases.
Let p = 0.01
Then q = 1 - p = 0.99
This is a binomial distribution.
Probability of binomial distribution is,
P(x) = \((^nC_x )p^x q^{n-x}\), where n is the number of trials and x is the number of times for specific outcome.
(a) P(x = 0) = \((^1^5C_0 )(0.01)^0 (0.99)^{15-0}\) = 1 × 1 × 0.86 = 0.86
(b) P(x ≤ 1) = P(x = 0) + P(x = 1)
= \((^1^5C_0 )(0.01)^0 (0.99)^{15-0}\) + \((^1^5C_1 )(0.01)^1 (0.99)^{15-1}\)
= 0.86 + (15 × 0.01 × 0.8687)
= 0.99
(c) P(x > 7) = P(x = 8) + P(x = 9) +........+ P(x = 15)
Substitute each of the point in the equation and we will get the required probability.
Hence all the probabilities are found.
Learn more about Binomial Distribution here :
https://brainly.com/question/14565246
#SPJ1
Your question is incomplete. The complete question is as given below.
Samples of rejuvenated mitochondria are mutated (i.e., defective) in 1% of cases. suppose that 15 samples are randomly selected and are considered to be independent for mutation. Determine the following probabilities.
(a) No samples are mutated.
(b) At most one sample is mutated.
c) More than half the samples are mutated.
Which of the following is always a true statement?
A. total employee benefits-job expenses=total employment compensation
B.gross pay + total job benefits = total employment compensation
C.gross pay - job expenses = total employment compensation
D.total job benefits - total employment compensation
Answers
Answer:
its d
Step-by-step explanation:
just did it
The statement which is true is total job benefits - total job expenses = total employment compensation. Thus, option (A) is correct.
What is the meaning of Job expenses?Job Expenses also known as Employment expenses refers to costs, expenses, debts, liabilities, and obligations connected to or incurred in connection with employment.
Wages, fees, incentive pay, gratuities, bonuses, vacation pay, holiday pay, others paid time off, overtime pay, standby pay, sick pay, and workers' compensation insurance are the employment benefits given to the Employee.
When employee gives delivers his good performance at work, then he is entitled to get these benefits.
Therefore, the total compensation of the employee is calculated through deducing the total employment benefits to the total job expenses.
Therefore, the correct option is (A).
Learn more about Job here:
https://brainly.com/question/14371400
#SPJ6
Pro
Rule: y =
Bla
Pro
Tea
2.5
SA
LE
Stuck? Watch
video or
a hint
Answers
Answer:
explain
Step-by-step explanation:
plz help out zhavia out she keeps on texting me while im trying to work
Answers
Answer:
Step-by-step explanation:
increase ≤ 55-43.5
increase ≤ 11.5
Elanor can increase her speed by 11.5 miles per hour.
A bank loaned out 20,500, part of it at the rate of 9% annual interest, and the rest at 11% annual interest the total interest earned for both loans was 2,225.00 how much was loaned at each rate
Answers
The money loaned at 9% annual interest was 1500 and the money loaned at 11% annual interest was 19000.
Let the amount of money loaned at 9% be x
the amount of money loaned at 11% be y
According to the question,
Total money loaned = 20,500
Thus the equation formed is,
x + y = 20,500 ------ (i)
Simple interest is calculated by
I = P * r * t
where I is the simple interest
r is the rate of interest
t is the time
Thus, the interest on x = 0.09x
the interest on y = 0.11y
Total interest gained = 2,225
Thus the equation formed is,
0.09x + 0.11y = 2225 -------(ii)
Multiply (i) by 0.09
0.09x + 0.09y = 1845
Subtract the above from (ii)
0.02y = 380
y = 19000
x = 1500
Learn more about Equation:
https://brainly.com/question/28871326
#SPJ1
7. Kelly developed a formula for using a computer to find for a specific quote within a large set of articles.
The following function gives the length of the search, in seconds, over a set of n articles.
S(n) = 1.6 In (0.8n). What is the instantaneous rate of change of the search length for a set of 12 article:
Use correct units to explain the meaning of the answer.
Answers
instantaneous rate of change of the search length 0.1667 seconds per
How to find the instantaneous rate of change?We need to take the derivative of the function S(n) with respect to n and evaluate it at n=12 in order to determine the instantaneous rate of change of the search length for a set of 12 articles.
Taking the derivative of S(n) with respect to n using the chain rule, we get:
S'(n) = 1.6 * (1/(0.8n)) * 0.8 = 2/n
Evaluating this expression at n=12, we get:
S'(12) = 2/12 = 0.1667 seconds per article
This indicates that the search time will increase by approximately 0.1667 seconds per article if the set contains 12 articles by one unit. Alternately, the search time per article will decrease by approximately 0.1667 seconds if the set's number of articles decreases by one unit from 12.
Therefore, the units for the instantaneous rate of change are "seconds per article", indicating the change in search time for each additional or fewer article in the set.
know more about rate of change visit
https://brainly.com/question/12786410
#SPJ1
Solve the equation 3x + 7 = 5x - 2 , please :)
Answers
Answer: x=9/2
Step-by-step explanation: Step 1) subtract 5x from both sides 3x+7-5x=5x-2 -5x = -2x+7=-2
Step 2) Subtract 7 from both sides -2x+7-7= -2 -7 -2x=-9
Step 3) Divide both sides by -2 -2x/-2 = -9/-2 x=9/2
can you help me silve this please
Answers
Answer: Area of Cylinder = 753.982
Step-by-step explanation:
Given:
h = 7 cm
r = 8cm
Formula for cylinder:
A = (Perimeter of base) x height + 2 (Area of Base)
Breakdown:
Perimeter of base = 2\(\pi r\)
Perimeter of base = 2 \(\pi\) (8)
Perimeter of base = 50.2655
Area of Base = \(\pi r^{2}\)
Area of Base = \(\pi 8^{2}\)
Area of Base = 201.0619
Area of Cylinder = (Perimeter of base) x height + 2 (Area of Base)
Area of Cylinder = (50.2655)(7) +2(201.0619)
Area of Cylinder = 753.982
A confidence interval that includes the null hypothesis may still result in a statistically significant difference or association.
Answers
Even with the null hypothesis included in the confidence interval, there might be a statistically significant difference or correlation.
Describe the term confidence interval?An estimate's level of uncertainty is indicated by a confidence interval, which is a range of numbers. A confidence interval is denoted by its endpoints.
Confidence intervals are commonly employed by statisticians to gauge the degree of uncertainty in either a sample variable. For instance, to determine how each sample might accurately reflect the true value of a population variable, a researcher chooses many samples at random taken from the same population as well as computes the confidence interval for each sample.A confidence interval is a set of values that are likely to contain an unidentified population parameter and are bound across each statistic's mean. According to statistical significance, there is a strong possibility that our conclusion that two variables are related is accurate.Thus, even with the null hypothesis included in the confidence interval, there might be a statistically significant difference or correlation.
To know more about the confidence interval, here
https://brainly.com/question/15712887
#SPJ4
The complete question is-
A confidence interval that includes the null hypothesis may still result in a statistically significant difference or association. (True /False).
Alexa bought 3 umbrellas for a total of $18. What was the unit rate for each umbrella?
Answers
Enter the equation of a circle that is congruent to circle C and is centered at point P
Answers
The equation of a circle that is congruent to circle C and is centered at point P is (x - 5)² + (y - 1)² = 5².
What is the equation of a circle?In Geometry, the standard form of the equation of a circle is modeled by this mathematical equation;
(x - h)² + (y - k)² = r²
Where:
h and k represent the coordinates at the center of a circle.r represent the radius of a circle.Based on the information provided, we have the following parameters for the equation of this circle:
Center (h, k) of P = (1, 5)Radius (r) of P = 5 units.By substituting the given parameters, we have:
(x - h)² + (y - k)² = r²
(x - 5)² + (y - 1)² = 5²
Read more on equation of a circle here: brainly.com/question/15626679
#SPJ1
What is the percent of 1 - 3√(5/35) ?
Answers
Answer:
1 - 3√(5/35) = 1 - 3√(1/7) = 1 - 3*(1/sqrt(7)) ≈ 0.0755
0.0755 * 100 = 7.55%
Step-by-step explanation:
To find the percentage of 1 - 3√(5/35), we need to first evaluate the expression.
1 - 3√(5/35) = 1 - 3√(1/7) = 1 - 3*(1/sqrt(7)) ≈ 0.0755
To convert this decimal to a percentage, we simply multiply by 100:
0.0755 * 100 = 7.55%
For the three-part question that follows, provide your answer to each question in the given workspace. Identify each part with a coordinating response. Be sure to clearly label each part of your response as Part A, Part B, and Part C.Part A: Write a function in for the geometric sequence where the first term is 11 and the common ratio is 4 .Part B: Find the first five terms in the geometric function.Part C: In one paragraph, using your own words, explain your work for Step A and Step B.
Answers
Remember that the formula for a geometric sequence is:
\(a_n=a_1\cdot r^{n-1}\)PART A:
With the data given, the formula for the sequence is:
\(a_n=11_{}\cdot4^{n-1}\)PART B:
\(\begin{gathered} a_1=11\cdot4^{1-1}\rightarrow a_1=11 \\ a_2=11\cdot4^{2-1}\rightarrow a_2=44 \\ a_3=11\cdot4^{3-1}\rightarrow a_3=176 \\ a_4=11\cdot4^{4-1}\rightarrow a_4=704 \\ a_5=11\cdot4^{5-1}\rightarrow a_5=2816 \end{gathered}\)PART C:
For part A, we took the general formula for the geometric sequence and plugged in the first term and the common ratio provided.
For part B, we replaced n for all the numbers from 1 through 5 to get the first 5 terms of the sequence.
Will give brainliest!
Answers
\(\large \mathfrak{Solution : }\)
The sides of the given figure are :
a = x + 7b = 2x + 2c = 8xd = x + 10perimeter :
x + 7 + 2x + 2 + 8x + x + 10 12x + 19Answer for first box = 12x + 19
now, Plugging the value of x as 4
(12 × 4) + 1948 + 1967 unitsJaya's monthly bank statement showed the following deposits and withdrawals:
$31.87, -−$34.19, -−$58.47, $48.57, -−$13.16
If Jaya's balance in the account was $94.42 at the beginning of the month, what was the account balance at the end of the month?
Answers
If Jaya's balance in the account was $94.42 at the beginning of the month, then account balance at the end of the month is $69.04 .
In the question ,
it is given that Jaya's account balance at beginning of month was $94.42 ,
first transaction +$31.87 ,
means Jaya deposited $31.87
So Account balance = $94.42+$31.87 = $126.29
Second transaction -$34.19 ,
means Jaya withdraw $34.19
So Account balance = $126.29-$34.19 = $92.10
third transaction -$58.47 ,
means Jaya withdraw $58.47
So Account balance = $92.10-$58.47 = $33.63
fourth transaction +$48.57,
means Jaya deposited $48.57
So Account balance = $33.63+$48.57 = $82.20
fifth transaction -$13.16 ,
means Jaya withdraw $13.16
So Account balance = $82.20-$13.16 = $69.04
Therefore , if Jaya's balance in the account was $94.42 at the beginning of the month, then account balance at the end of the month is $69.04 .
Learn more about Addition and Subtraction here
https://brainly.com/question/20294716
#SPJ1