Answer:
so 2x+3x+130=180
so 5x+130=180
5x=50
so 2x =20
3x which is angle a is equal to 30 degree
Answer:
The measure of angle A is 30 degrees.
Step-by-step explanation:
Since all triangles are equal to 180 degrees, you take set up an equation where u add 2x and 3x to get 5x and u add that to 130 and set it equal to 180
2x+3x+130=180 ( combine like terms)
5x=50 (subtract 130 from both sides to isolate our variable which is x)
x=10 (divide both sides by 5 to get rid completly isolate our variable)
Now we know x=10 you can plug that in as our x value so 3x becomes 3*10 which equals 30 which is your answer.
Which measurement is most accurate to describe the weight of an apple
Answer: (BRAINLIEST PLEASE)
120 g.
Step-by-step explanation:
Answer:
1/4 of a pound
Step-by-step explanation:
Which of the question below could be the equation of this parabola ?
A) x=-4x^2
B) y=4x^2
C) x=4y^2
D) y=-4x^2
Multipy 2/6 by 1/5
A) 2/15
B) 2/11
C) 1/15
D) 3/15
Answer:
\(\huge\boxed{\frac{1}{15} }\)
Step-by-step explanation:
\(\sf= \frac{2}{6} * \frac{1}{5} \\\\=\frac{2*1}{6*5} \\\\=\frac{2}{30} \\\\= \frac{1}{15} \\\\\rule[225]{225}{2}\)
Hope this helped!
~AnonymousHelper1807Answer:
C
Step-by-step explanation:
\(\frac{2}{6}*\frac{1}{5}=\frac{1}{3}*\frac{1}{5} = \frac{1}{15}\)
54 - 6 x 5/3
= 54 - ? /3
= 54 - ?
= ?
Answer:
Step-by-step explanation:
Does anyone know the answer to this or is willing to help me out ?
Answer:
y2-y1/x2-x1= 36-8/8-4 and that gives you 31
Step-by-step explanation:
this is your slope formula y2-y1/x2-x1
YOU MUST PLUG IN YOUR X & Y VALUES
1-5 above involves dividing a whole number by a fraction less than 1
What happens to the quotients compared to the dividends? Explain your answer
Answer:
The quotient will have a larger value than the dividend.
Step-by-step explanation:
Example:
15 ÷ \(\frac{1}{2}\)
\(\frac{5}{\frac{1}{2} }\)
\(\frac{\frac{15}{1} }{\frac{1}{2} }\) x \(\frac{\frac{2}{1} }{\frac{2}{1} }\) = \(\frac{\frac{30}{1} }{1}\) = 30
Our quotient of 30 has a larger value than the dividend of 15.
Helping in the name of Jesus.
Convert A(x) to standard form.
A(x) = 2(x - 5)² - 60
Answer:
A(x) = 2x² - 20x + 110
Step-by-step explanation:
A(x) = 2(x - 5)² - 60
A(x) = 2(x - 5)(x - 5) - 60
A(x) = 2[x(x - 5) - 5(x - 5)] - 60
A(x) = 2[x(x) - x(5) - 5(x) + 5(5)] - 60
A(x) = 2(x² - 5x - 5x + 25) - 60
A(x) = 2(x² - 10x + 25) - 60
A(x) = 2(x²) - 2(10x) + 2(25) - 60
A(x) = 2x² - 20x + 50 + 60
A(x) = 2x² - 20x + 110
Answer:
A(x) = 2x² - 20x - 10
Step-by-step explanation:
A(x) = 2(x - 5)² - 60 ← expand factor using FOIL
= 2(x² - 10x + 25) - 60 ← distribute parenthesis
= 2x² - 20x + 50 - 60 ← collect like terms
= 2x² - 20x - 10
Find the polar coordinates of rectangular coordinates (-√2,1). Limit θ to the interval [0,2pi) and round 2 dceimal places if needed
The point (-√2,1) can also be represented as (√3, 5.18) in polar coordinates.
To find the polar coordinates of the rectangular coordinates (-√2,1), we can use the following formulas:
r = √(x² + y²)
θ = tan^⁻1(y/x)
Plugging in the given values of (-√2,1), we get:
r = √((-√2)² + 1²) = √(2 + 1) = √3
θ = tan^⁻1(1/(-√2)) ≈ 2.0344 radians
Note that since the point (-√2,1) is in the second quadrant, we need to add π to the value of θ obtained from the inverse tangent in order to obtain an angle in the interval [0,2π). Thus, we have:
θ ≈ 2.0344 + π ≈ 5.1779 radians
Rounding to 2 decimal places as needed, we get the polar coordinates of (-√2,1) as (r,θ) ≈ (√3, 5.18).
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16 families went on a trip which cost them Rs 2,16,352. How much did each
family pay?
Given that 16 families went on a trip and the cost of the trip was Rs. 2,16,352.The amount paid by each family is to be determined by unitary method Hence each family paid Rs.13522
Now, let's solve this by using the method of unitary method. To find the cost of 1 family trip, we will divide the total cost of the trip by the number of families.2,16,352 / 16 = 13,522 So, the cost of the trip per family is Rs. 13,522.Hence, each family paid Rs. 13,522 for the trip.
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Answer:
Step-by-step explanation
1. The total cost of the trip for all 16 families is Rs 2,16,352.
2. To find out how much each family paid, we need to divide the total cost by the number of families: Rs 2,16,352 ÷ 16.
3. When we do the division, we get the result: Rs 13,522.
Now let's check if this result is correct:
1. If each family paid Rs 13,522 for the trip, then the total cost for all 16 families would be: 16 × Rs 13,522 = Rs 2,16,352.
2. This is exactly the same as the total cost given in the problem statement.
So we have shown that each family paid **Rs 13,522** for the trip
Simplify the following using PEMDAS: [3−(3⋅3)+33÷3] × 4⋅5/10−2⋅3
Answer: 34
Step-by-step explanation:
Given expression
[3 - (3 · 3) + 33 ÷ 3] × 4 · 5 / 10 - 2 · 3
Simplify by parentheses in the bracket
=[3 - 9 + 33 ÷ 3] × 4 · 5 / 10 - 2 · 3
Simplify by multiplication
=[3 - 9 + 33 ÷ 3] × 20 / 10 - 6
Simplify by division
=[3 - 9 + 11] × 10 - 6
Simplify by bracket (addition/subtraction)
=[-6 + 11] × 10 - 6
=[4] × 10 - 6
Simplify by multiplication
=40 - 6
Simplify by subtraction
=\(\boxed{34}\)
Hope this helps!! :)
Please let me know if you have any questions
10% OFF! What was the original price of a set of dishes whose sale price is $216?
Answer:
240
Step-by-step explanation:
If we get 10% off, we still have to pay 100-10 = 90%
Let x be the original price
x *90% = 216
.90x = 216
Divide each side by .90
.90x/.90 = 216/.90
x =240
The original price is 240
Answer:
$240
Step-by-step explanation:
The sale price is 90% of the original price, so ...
$216 = 0.90 × original price
original price = $216/0.90 = $240
The original price of the set of dishes was $240.
Find the 60th term of the following sequence.
8, 16, 24. ...
Answer:
Step-by-step explanation:
Remark
You want the 60th term of the arithmetic (?) sequence given.
Formula
L = a + (n - 1)*d
Givens
L = ?
a = 8
d = 8
n = 60
Solution
L = 8 + (60 - 1)*8
L = 8 + 60*8 - 8
L = 480
Answer
The 60th term is 480
Answer:
Step by step explanation :
As we know
\(\:\bf\boxed{an\:=\:a\:+\:(n\:-\:1)\:d}\)
where,
an = the nth term in the sequence
n = the term
d = common difference
a = first term of the AP.
Here,
an = a60
n = 60
d = 16 - 8 = 8
a = 8
Now,
\(\:\mathsf{a60\:=\:8\:+\:(60\:-\:1)(8)}\)
=> \(\:\mathsf{a60\:=\:8\:+\:(59)(8)}\)
=> \(\:\mathsf{a60\:=\:8\:+\:472}\)
=> \(\:\bf{a60\:=\:480}\)
Therefore the 60th term of the AP is 480.
a rock found in a gold mine weighs 12 ounces.If it contains 14% gold, how many ounces of gold does the rock contain?
Answer: 1.68
Step-by-step explanation: Okay, to find this we need to use this formula:
Amount = Part percent * whole number / 100
So, now let's plug in the numbers:
Amount = 14 * 12 / 100
= 168/100
= 1.68
Therefore the amount of gold in the rock is 1.68 oz out of the 12 ounces.
I hope this helped!
Answer: 1.68
Step-by-step explanation: So, if we want to find how much gold is in the rock, it's a good idea to set up a proportion. So, it would be like this:
\(\frac{14}{100} = \frac{?}{12}\)
Now, we would cross-multiply the 12 and the 14, which is 168, and then divide it by 100. That can be found by moving the decimal 2 places left of 168.00. So, that would be 1.68. Therefore, there are 1.68 ounces of gold in the rock. I hope this helped!
A realtor is someone who helps people buy or sell houses. Two realtors are trying to determine the value of a house in four years.
The house currently has a value of $350,000
Part A: Realtor A says that the house will increase in value by 3% every year. Write an exponential equation that models the situation. Using
the exponential equation, determine the value of the house in 4 years.
Part B: Realtor B says that the house will increase in value by $10,500 each year. Write a linear equation that models the situation. Using the
linear equation, determine the value of the house in 4 years.
probably b and some c 1000
A researcher at a major clinic wishes to estimate the proportion of the adult population of the United States that has sleep deprivation. What size sample should be obtained in order to be 99 % confident that the sample proportion will not differ from the true proportion by more than 4%? Round up to the nearest whole number.
The sample size needed to be 99% confident that the sample proportion will not differ from the true proportion by more than 4% is given as follows:
n = 1037.
What is a confidence interval of proportions?A confidence interval of proportions has the bounds given by the rule presented as follows:
\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)
In which the variables used to calculated these bounds are listed as follows:
\(\pi\) is the sample proportion, which is also the estimate of the parameter.z is the critical value.n is the sample size.The margin of error is given as follows:
\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)
The confidence level is of 99%, hence the critical value z is the value of Z that has a p-value of \(\frac{1+0.99}{2} = 0.995\), so the critical value is z = 2.575.
As we have no estimate, the parameter is given as follows:
\(\pi = 0.5\)
Then the sample size for M = 0.04 is obtained as follows:
\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)
\(0.04 = 2.575\sqrt{\frac{0.5(0.5)}{n}}\)
\(0.04\sqrt{n} = 2.575 \times 0.5\)
\(\sqrt{n} = \frac{2.575 \times 0.5}{0.04}\)
\((\sqrt{n})^2 = \left(\frac{2.575 \times 0.5}{0.04}\right)^2\)
n = 1037.
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Thom’s restaurant bill is $45 and he leaves a 20 percent tip. What is the total cost for Thom’s meal?
$20
$54
$65
$90
Helppp.
Answer:
$54
Step-by-step explanation:
Convert 20% into decimal which is .20
$45x.20= $9
so 9 dollars was the tip. So you add the bill to the tip
$45+$9=$54
At Pizza Pi, 32% of the pizzas made last week had extra cheese. If 16 pizzas had extra cheese, how many pizzas in all were made last week?
Answer:
50
Step-by-step explanation:
you need to put first the 32 on top of 100 since it always goes over 100 then you put 16 over a blank and you divide 32 by 16 which equals 2 so since you divided at the top you need to divide at the bottom so you divide 100 by 2 and you get 50 so 50 is your answer
I will give you 20 points of you answer this
Answer:
Median: 1, 2, 2, 2, 2, 3, 4, 4, 4, 4, 4, 5, 5, 6 : 4
Mean: 3.42 (3.42857142857)
Mean would change
FIRST OPTION
a owner increases the rent office house by 5% at end of each year if current its rent is ₹2500pm how much will be the rent after two years
Answer:
2950$
Step-by-step explanation:
2500×5%=125$
125×2=250$
2500+250=3960$
-2 - 1 + 4 I need the help please
Answer:
it's 1
Step-by-step explanation:
hope this helps 1
Suppose it is certain that an earthquake will occur someday. What is the probability (to the nearest percent) that it will occur while you are at work? Assume you are at work 8 hours per day, 240 days per year.
Answer:
22%
Step-by-step explanation:
Given that:
Number of hours at work daily = 8 hours
Number of days at work per year = 240
Total number of hours at work per year = Number of hours at work daily \(\times\) Number of days at work per year
Total number of hours at work per year = 8 \(\times\) 240 = 1920 hours
Total number of days in an year = 365
Total number of hours per day = 24
Total number of hours in an year = 24 \(\times\) 365 = 8760
Here, to find the probability that the earthquake will occur while the person is at work, we actually have to find the fraction of number of hours at work to the total number of hours in an year.
Therefore, the required probability is:
\(\dfrac{1920}{8760} \approx \bold{0.2191}\)
Therefore the probability to the nearest percent is: 22%
Event A has probability 0.5. Event B has probability 0.6. Which of the following must be true?
a. A and B are disjoint.
b. A and B must include all possible outcomes in the sample space.
c. The probability that A does not occur is 0.5.
d. All of the above.
Answer: c. The probability that A does not occur is 0.5.
Step-by-step explanation:
Given: Event A has probability 0.5. Event B has probability 0.6.
If M and N are disjoint sets , the P(M or N) = P(M) +P(N)
So, if A and B are disjoint sets , then P(A or B)= P(A) + P(B)
= 0.5+0.6
= 1.1 > 1
And probability cannot be greater than 1.
So, A and B are not disjoint.
If A or B includes all the possible outcomes in the sample space then, P(A) or P(B) should equal to 1 which is not true.
Probability of not E = 1- P(E)
So, . The probability that A does not occur = 1- P(A) = 1-.5= 0.5
So, option is C. correct.
The probability that A does not occur is 0.5.
Kiyo invites 5 friends to a sporting event.
Tickets cost $40 each. He knows at least one
friend will choose to attend the event.
Answer: 40 dollars
Step-by-step explanation:
i hope the explanation is right:)
If he invites 5 friends for 40 bucks each then one friend that he knows will go is 40 dollars. So the only thing you have to do for this problem is multiply 40 by the number of friends which in this case i believe is 1.
Plz help me if you're nice. If wrong answer i'll report you
Answer
z= 14
Step-by-step explanation:
4( 2z-3) -5(z-6) =3 *20
8z-12-5z+30=60
3z+18=60
3z=60-18
3z=42
z= 14
\( \frac{2z - 3}{5} - \frac{z - 6}{4} = 3 \\ = > \frac{4(2z - 3) - 5(z - 6)}{20} = 3 \\ = > \frac{8z - 12 - 5z + 30}{20} = 3 \\ = > \frac{3z + 18}{20} = 3 \\ = > 3z + 18 = 3 \times 20 \\ = > 3z + 18 = 60 \\ = > 3z = 60 - 18 \\ = > 3z = 42 \\ = > z = \frac{42}{3} \\ = > z = 14\)
Answer:
z = 14
Hope you could get an idea from here.
Doubt clarification - use comment section.
am I right for part A. And please help me with B
a) The radius of the sphere is given as follows: 27.13 ft.
b) The surface area can be checked as follows: S = 4 x 3.14 x 27.13² = 9244.
How to obtain the surface area?The surface area for a sphere of radius r is given by the equation presented as follows:
S = 4πr².
The surface area for this problem is given as follows:
9244 ft².
Hence the radius is given as follows:
\(r = \sqrt{\frac{9244}{4 \times 3.14}}\)
r = 27.13 ft.
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PLEASE HELP ME I RLLY NEED HELP WITH THIS
Step-by-step explanation:
hope this will help you!
The July bank statement sent by the bank to ABC company shows a balance of cash on deposit at July 31 of Br.4,964.47 Assume that on July 31, assume the on July 31, ABCs ledger shows a bank balance of Br. 4 173. 83. 1. A deposit of Br 410. 90 made after banking hours and doesnt appear in the bank statement2. A check drawn for Br. 79 had been erroneously charged by the bank Br.973. For checks issued in July have not yet been paid by the bank (outstanding checks). : Theses checks are;- Check No date amount 801 June 15 ---Br.100,00 888 July 24 ----Br. 10.25 890 July 27--- Br. 294.50 891 July 30 ---Br. 205.004. A check written for birr 210 had been incorrectly charged by the bank as birr 120 5. Proceeds from collection of a interest bearing note receivable from David. ABC Company had left this note with the banks collection department. The face amount of the note was birr 500 6. Br. 24.75 interest earned on average account balance during July7. A check for Br. 10 returned with the statement had been recorded in the check register as Br. 100. The check was for the payment of an obligation to Davis Equipment Company for the purchase of office supplies on account 8. Br. 5,00 fee charged by bank for handling collection of note receivable 9. Br. 50.25 check from customer John deposited by ABC company charged bank as Non sufficient fund (NSF) 10. Br. 12.70 service charged by bank for the month of July. 11. Check number 875 was issued July 20 in the amount of Br 85 but was erroneously recorded in the cash payment Journal as Br 58 for payment of telephone expense prepare bank reconcilation and journal entry
The bank reconciliation shows an adjusted bank balance of Br.5,301.42 and an adjusted ledger balance of Br.4,173.83.
To prepare the bank reconciliation and journal entry for ABC Company based on the given information, we need to compare the transactions recorded in ABC's ledger with the transactions shown in the bank statement. Here's the bank reconciliation:
1. Bank Statement Balance:
Cash on deposit at July 31: Br.4,964.47
2. Adjusted Bank Balance:
Bank Statement Balance: Br.4,964.47
3. Deposit not on the statement: + Br.410.90
(Adjusted Bank Balance: Br.5,375.37)
Erroneously charged check: + Br.79
(Adjusted Bank Balance: Br.5,454.37)
Outstanding checks:
Check 801: - Br.100.00
Check 888: - Br.10.25
Check 890: - Br.294.50
Check 891: - Br.205.00
(Adjusted Bank Balance: Br.4,844.62)
4. Incorrectly charged check: + Br.90
(Adjusted Bank Balance: Br.4,934.62)
5. Collection of interest-bearing note: + Br.500
(Adjusted Bank Balance: Br.5,434.62)
6. Interest earned: + Br.24.75
(Adjusted Bank Balance: Br.5,459.37)
7. Incorrectly recorded check: - Br.90
(Adjusted Bank Balance: Br.5,369.37)
8. Collection fee: - Br.5.00
(Adjusted Bank Balance: Br.5,364.37)
9. NSF check: - Br.50.25
(Adjusted Bank Balance: Br.5,314.12)
10. Service charge: - Br.12.70
(Adjusted Bank Balance: Br.5,301.42)
Adjusted Ledger Balance:
Bank Balance in ABC's Ledger: Br.4,173.83
Reconciled Bank Balance: Br.5,301.42
Reconciled Ledger Balance: Br.4,173.83
Journal Entry:
To record the bank reconciliation, we make the following journal entry:
Debit: Cash (Ledger Balance adjustment) - Br.5,301.42
Credit: Cash (Bank Statement Balance adjustment) - Br.4,964.47
Credit: Miscellaneous Income/Expense - Br.336.95 (the difference between the two balances)
This journal entry ensures that the ledger balance matches the reconciled bank balance by adjusting for the discrepancies identified during the reconciliation process.
The journal entry reflects the necessary adjustments to reconcile the two balances, with a debit to Cash (Ledger Balance adjustment), a credit to Cash (Bank Statement Balance adjustment), and a credit to Miscellaneous Income/Expense to account for the difference.
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please help me with this.
here is the question
The composition of the functions are,
(f o g) (x) = \(\frac{5}{5-7x}\) and (g o f) (x) = \(\frac{5x-35}{x}\)
What is Composition of Functions?Composition of two functions f and g can be defined as the operation of composition such that we get a third function h where h(x) = (f o g) (x).
Given two functions,
f(x) = \(\frac{x}{x-7}\) and g(x) = \(\frac{5}{x}\)
We have to find (f o g) (x) and (g o f) (x).
(f o g) (x) = f (g(x))
That is plug, g(x) instead of x into the equation of f(x).
(f o g) (x) = \(\frac{\frac{5}{x} }{\frac{5}{x} -7}\)
= \(\frac{\frac{5}{x} }{\frac{5-7x}{x} }\)
= \(\frac{5}{5-7x}\)
Now we have to find (g o f) (x).
(g o f) (x) = g (f(x))
That is, plug f(x) instead of x into the equation of g(x).
(g o f) (x) = \(\frac{5}{\frac{x}{x-7} }\)
= \(\frac{5(x-7)}{x}\)
= \(\frac{5x-35}{x}\)
Hence the composition of the given functions f and g are found.
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Find n in this equation: 308P(n,2)=P(16,4)
Answer:
24
Step-by-step explanation:
7x4
Please help!!
Find the third, fourth, and tenth terms of the sequence described by the rule.
A(n) - 3+ (n-1)(5)
A(3)=
A(4)=
A(10)=
Answer:
A(3) = 13
A(4) = 18
A(10) = 48
Step-by-step explanation:
This seems like a plug and play.
Starting with A(3). Everywhere you see an n, you'll replace it with a 3, as follows;
3 + (3-1)(5) = ?
We'll solve it step by step. First is 3-1. That's 2, bringing it to
3 + (2)(5).
2 times 5 is 10, bringing it to
3 + 10.
3 + 10 = 13, which concludes
A(3) = 13.
Now doing it for the remaining 2.
3 + (4-1)(5)
3 + (3)(5)
3 + 15
A(4) = 18
Last one...
3 + (10-1)(5)
3 + (9)(5)
3 + 45
A(10) = 48