Answer:
C. y = 66
Step-by-step explanation:
this is a equal triangle so you know you have to find out what that one angle is to get the rest
180 - 114 = 66
At a baseball game, a vender sold a combined total of 191 sodas and hot dogs. The number of hot dogs sold was 47 less than the number of sodas sold. Find the number of sodas sold and the number of hot dogs sold.
The number of sodas sold at the baseball game was 119, while the number of hot dogs sold was 72.
Let's assume the number of sodas sold as 'x' and the number of hot dogs sold as 'y'.
According to the problem, the total number of sodas and hot dogs sold is 191, so we can write the equation:
x + y = 191 ...(1)
The problem also states that the number of hot dogs sold was 47 less than the number of sodas sold. Mathematically, we can express this as:
y = x - 47 ...(2)
To find the values of x and y, we can solve the system of equations (1) and (2). Substituting equation (2) into equation (1), we have:
x + (x - 47) = 191
Simplifying the equation:
2x - 47 = 191
2x = 191 + 47
2x = 238
Dividing both sides by 2:
x = 238/2
x = 119
Substituting the value of x back into equation (2):
y = 119 - 47
y = 72
As a result, the total amount of sodas sold is 119, and the total amount of hot dogs sold is 72.
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Joel wanted to buy some games and controllers for his Playstation 4. He bugs 2 games and 3
controllers for $242 Omar bought 4 games and 1 controller for $281.50. How much are games and
how much are controllers?
Answer:
I think the games r 50$ a piece a d the controllers r 81$
The number of games are 60.25 and number of controllers are 40.5.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given that Joel wanted to buy some games and controllers for his Playstation 4.
Let x be number of games and y be the number of controllers.
Joel bugs 2 games and 3 controllers for $242
2x+3y=242..(1)
Omar bought 4 games and 1 controller for $281.50.
4x+y=281.5...(2)
Multiply equation 1 with 2.
4x+6y=484..(3)
Subtract 3 from equation 2.
4x+y-4x-6y=281.5-484
-5y=-202.5
Divide both sides by 5
y=40.5
Now plug in y value in equation 1
2x+3(40.5)=242
2x+121.5=242
2x=242-121.5
2x=120.5
Divide both sides by 2
x=60.25
Hence, the number of games are 60.25 and number of controllers are 40.5.
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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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Help me and explain
Answer:
2.5
Step-by-step explanation:
you cut the diameter in half and it's 5 so do the math
A paper factory makes cardboard sheets like the one shown below. If the area of each sheet is given by the expression 6x ^ 2 + 7x + 2, what are the dimensions of each sheet of cardboard?
Answer:
67^2+76+2
that's my answer towards this question
Question 4
You are offered an opportunity to work for a local car company. They will pay a 13% commission on
all sales. You will have to pay 35.45% in taxes and other deductions to the government. How many
dollars in sales you should achieve in order to net $50,000?
1
I
0.5 p
No new data to save. Last checked at 8:09pm
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Submit
Answer:
Step-by-step explanation:
im not old enough to have a job
Can someone help with this please
Step-by-step explanation:
\(y = \frac{4}{x} + \sqrt{x + 0.2} - 5x\)
\(x = \frac{4}{5} \)
\(y = \frac{4}{1} \div \frac{4}{5} + \sqrt{ \frac{4}{5} + 0.2} - 5 \times \frac{4}{5} \)
\( \frac{4}{1} \times \frac{5}{4} + \sqrt{0.8 + 0.2} - 4\)
\(5 + \sqrt{1} - 4\)
\(5 + 1 - 4 \\ 6 - 4 = 2\)
if 5(x-6)=8 then x=?
Step-by-step explanation:
5(x-6)=8
5x - 30 = 8
5x = 8 + 30
5x = 38
X = 38/5
X = 7.6
The value of x is 7.6.
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,
5 (x - 6) = 8
Solve for x.
5x - 30 = 8
5x = 8 + 30
5x = 38
x = 38/5
x = 7.6
Thus,
x is 7.6.
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joan wants to jog 15 miles on a circular track 1/2 mile a diameter
how many miles is one circle of the track?
Answer:
7.5
Step-by-step explanation:
15/2
2 doesn't go into 1 so go over to the 15 and then 7 goes into 15 two times do subtract 15 and 14 and then you'll get one once you have 1 left over add a decimal next to the 7 on top right after that add a 0 next to the one then you'll get a 10 once you have a 10, you can know how much 2 goes into 10 which 5 and subtract 10 by it self then you'll get your answer 7.5
Carlos read 150 words in one minute. He
read 5 times as many words as his younger
brother. How many words did his younger brother
read in one minute?
Answer:
30
Step-by-step explanation:
150/5 = 30
Answer: 30
Step-by-step explanation:
4x^2=x+3
Solve by factoring
Show your work please!
Answer:
x = - \(\frac{3}{4}\) , x = 1
Step-by-step explanation:
4x² = x + 3 ← subtract x + 3 from both sides
4x² - x - 3 = 0 ← in standard form
consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 4 × - 3 = - 12 and sum = - 1
the factors are - 4 and + 3
use these factors to split the x- term
4x² - 4x + 3x - 3 = 0 ( factor the first/second and third/fourth terms )
4x(x - 1) + 3(x - 1) = 0 ← factor out (x - 1) from each term
(x - 1)(4x + 3) = 0 ← in factored form
equate each factor to zero and solve for x
4x + 3 = 0 ( subtract 3 from each side )
4x = - 3 ( divide both sides by 4 )
x = - \(\frac{3}{4}\)
x - 1 = 0 ( add 1 to both sides )
x = 1
solutions are x = - \(\frac{3}{4}\) , x = 1
Picture of math assignment
Answer:
\( {5}^{ - 7} \)
Step-by-step explanation:
You have to use the property of quotient of powers, you subtract the power of the fraction denominator from the numerator
Answer:
\( \frac{ {5}^{ - 4} }{ \frac{5}{3} } \)
\( {5}^{ - 4 - 3} \)
\( {5}^{ - 7} \)
\( \frac{1}{ {5}^{7} } \)
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can anyone slove this question pls
we have: -10/4 = -2.5 ⇒ -2 > -2.5 > -3
ANSWER : -2 and -3
ok done. Thank to me :>
Calculate the equivalent ratio 1.25 : 3.75 : 7.5
The equivalent ratio of 1.25 : 3.75 : 7.5 is 5 : 15 : 30.
To calculate the equivalent ratio of 1.25 : 3.75 : 7.5, we need to find a common multiplier that can be applied to all the numbers in the ratio to make them whole numbers. In this case, the common multiplier is 4 because it can be multiplied to each number to eliminate the decimals.
By multiplying each number in the ratio by 4, we get:
1.25 * 4 = 5
3.75 * 4 = 15
7.5 * 4 = 30
So the equivalent ratio of 1.25 : 3.75 : 7.5 is 5 : 15 : 30.
This means that the relative sizes or quantities represented by the original ratio are maintained in the equivalent ratio. For example, if we had 1.25 units of something, it would be equivalent to 5 units in the new ratio, and if we had 7.5 units, it would be equivalent to 30 units in the new ratio.
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A production line has an automatic scanner to detect defects. In recent production, 10% of items have been defective. Every defective item is identified correctly as defective with probability 90%. Every non-defective item is identified correctly as non-defective with probability 80%.
Required:
What percent of all the items are classified correctly by the scanner?
Answer:
81%
Step-by-step explanation:
P (Defective item) = 10% , P (Defective identified) = 90% of defective = 90% of 10% = 9%
P (Non defective item) = 1 - 10% = 90% , P (Non defective identified) = 80% of non defective = 80% of 90% = 72%
Prob (Scanner identifies correctly) = Pr (non defective mentioned non defective) & Pr (defective mentioned defective)
= 9% + 72% = 81%
If the measure of angle 3=122, then the measure of angle 2 =?
A = 122
2 = 58
Can I have brainliest
Find the mean of the data summarized in the given frequency distribution. Compare the computed mean to the actual mean of 56.6 degrees. Low Temperature (◦F) 40−44 45−49 50−54 55−59 60−64 Frequency 2 7 9 5 2 The mean of the frequency distribution is nothing degrees.
Answer:
Computed mean = 51.6
Actual mean > computed mean
Step-by-step explanation:
Low temp. - - Freq(f) - - midpoint(x) - - fx
40−44 - - - - - 2 - - - - - - - 42 - - - - - - 84
45−49 - - - - - 7 - - - - - - - 47 - - - - - - 329
50−54 - - - - - 9 - - - - - - - 52 - - - - - - 468
55−59 - - - - - 5 - - - - - - - 57 - - - - - - 285
60−64 - - - - - 2 - - - - - - - 62 - - - - - - 124
Mean (m) = Σ(fx) / Σ(f)
Σ(fx) = 84 + 329 + 468 + 285 + 124 = 1290
Σ(f) = 2 + 7 + 9 + 5 + 2 = 25
Mean (m) = 1290 / 25
Computed mean (m) = 51.6
Actual mean = 56.6
Actual mean > computed mean
56.6 > 51.6
1.Which statement about two negative numbers is true? .
Answer:
To negative numbers makes a positive number.
(only in dividing and multiplying)
Step-by-step explanation:
Please mark me brainliest
Solve using the Quadratic Formula. 122+6−5=0
Step-by-step explanation:
You can't use quadratic formula in this
fill in the mission numbers to make the fractions equivalent. 1/2 and /8= 4/12 and /60= 2/3 and /12= 4/4 and /8=
To make the fractions equivalent, we need to find the missing numerators that would make them equal. Let's fill in the missing numerators:
1/2 and __/8
To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 4:
1/2 and 4/8
Now, the fractions are equivalent.
---
4/12 and __/60
To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 5:
4/12 and 20/60
Now, the fractions are equivalent.
---
2/3 and __/12
To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 4:
2/3 and 8/12
Now, the fractions are equivalent.
---
4/4 and __/8
To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 2:
4/4 and 8/8
Now, the fractions are equivalent.
grade 11 2022 June common test mathematics memorandum?
Note that the roots of the equation Unequal and rational (Option D)
How is this so ?The roots of the equation (x - 3)² = 4 can be found by taking the square root of both sidesof the equation.
x - 3 = ±√4
⇒ x - 3 = ±2
Solve for x
For the positive square root.
x - 3 = 2
x = 2 + 3
x = 5
For the negative square root.
x - 3 = -2
x = -2 + 3
x = 1
Since the equation has two roots, x = 5 and x = 1. These roots are unequal and rational. (Option D)
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Full Question:
Although part of your question is missing, you might be referring to this full question:
The roots of the equation (x - 3)² = 4 are
A.Unequal and irrational.
B.Equal and rational.
C. Equal and irrational.
D. Unequal and rational.
translate the question into an equation. Do not solve Let X be the unknown number. What percent of 70 is 5.4
we are asked what percent is 5.4 of 70. If "x" is the percentage, then this situation can be described as follows:
\(70\times\frac{x}{100}=5.4\)SOMEONE PLEASE HELPP MEE
The end-points of the line segment will be negative 1.25 and 0.25.
What is a number line?A number line refers to a straight line in mathematics that has numbers arranged at regular intervals or portions along its width. A number line is often shown horizontally and can be postponed in any direction.
The length of the line segment is 1.50 units and the midpoint of the line segment is negative 0.50. Then the end-points of the line segment are given as,
⇒ - 0.50 ± (1.50) / 2
Simplify the expression, then we have
⇒ - 0.50 ± (1.50) / 2
⇒ - 0.50 - (1.50) / 2, - 0.50 + (1.50) / 2
⇒ - 0.50 - 0.75, - 0.50 + 0.75
⇒ - 1.25, 0.25
The end-points of the line fragment will be negative 1.25 and 0.25.
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what do you mean by quadratic polynomials ?
Step-by-step explanation:
it us a polynomial with a second degree variable
For each of the following four statements, indicate whether it is possible or not according to probability theory. Explain your answer. (1) The probability that a customer will buy 5 items in a single purchase is 30% ___________________________ (2) The probability that a customer will buy 3 items in a single purchase is 101% ___________________________ (3) The probability that a customer will buy 3 items in a single purchase is 99% ___________________________ (4) The probability that a customer will buy 8 item
Answer:
a) According to probability theory, the following are possible:
(1) The probability that a customer will buy 5 items in a single purchase is 30%. This represents a 0.30 chance of the customer buying 5 items.
(3) The probability that a customer will buy 3 items in a single purchase is 99% This means that there a 0.99 chance that the customer will buy 3 items.
b) According to probability theory, the following are not possible:
2) The probability that a customer will buy 3 items in a single purchase is 101%. Probability is always equal to 1 or 100%. It cannot exceed 100%.
(4) The probability that a customer will buy 8 item. This part lacks the necessary information to solve the problem.
Step-by-step explanation:
Probability describes the likelihood or chance of an event happening out of the many possible events that can take place. The sum of all probabilities for a particular event is always equal to 1. This shows that probability does not exceed 100%.
Can someone please help me with this question please
Answer:
Read below.
Step-by-step explanation:
Questions are underlined
Answers are bolded
Which of the following statements is true?
If two polygons are similar then the corresponding sides are proportional and the corresponding angles are proportional.
If two polygons are similar, then the corresponding sides are proportional and the corresponding angles are congruent.
If two polygons are similar, then the corresponding sides are congruent and the corresponding angles are proportional.
None of the choices are correct.
Which of the following sides are corresponding if ΔABC is similar to ΔMNL?
AC and ML, BC and NL, AB and MN is the correct answer but the answer choices are:
AB and MN, BC and NL, AC and ML
AC and MN, BC and NL, AB and ML
AB and ML, BC and NL, AC and MN
None of the choices are correct.
At Thanksgiving, Mrs. Jones overcooked the turkey so all but StartFraction 4 Over 5 EndFraction of it had to be thrown away. The 8 people at dinner that night each received an equal share of the remaining turkey. To determine the amount of the turkey that each person would receive, Mrs. Jones wrote the expression below. StartFraction 4 Over 5 EndFraction divided by 8 Which expression is equivalent to Mrs Jones’s expression?
(4/5)/8 is also equal to 4/5*1/8 or 4/40 or 1/10
Answer:
the one above is right
Step-by-step explanation:
A committee of four people is formed by selecting members from a list of 12 people.
How many different committees can be formed?
__ committees
The number of different committees that can be formed is 495
How many different committees can be formed?From the question, we have the following parameters that can be used in our computation:
People = 12
Committee = 4
These can be represented as
n = 12 and r = 4
The number of different committees that can be formed is
Number = nCr
So, we have
Number = 12C4
Evaluate
Number = 495
Hence, the committee are 495
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The box by players performed the lion king 3 times to a sold out theater. Tickets cost $19 each. And ticket sales totaled $7068. How many people saw the show each night?
Number of tickets sold:
Number of people in the audience each night:
Answer:
Number of tickets sold: 372
Number of people each night: 124
Answer:
Number of tickets sold:
372
Number of people in the audience each night:
Roughly 124 per night
are each of those congruent and if so what is there postulate
ANSWERS
a. Yes, congruent. By SSS postulate
b. Yes, congruent. By AAA postulate
c. Yes, conguent. By SAS postulate
EXPLANATION
a. Sides MQ and MN are congruent as shown in the diagram. So are sides PN and PQ. Side PM is shared by both triangles so it must be congruent to both.
b. It is shown in the diagram which angles are congruent:
c. Angles DEC and AEB are vertical angles and they are therefore congruent. The two sides that form those angles are shown congruent in the diagram, so we have a side, the next angle and the next side: SAS postulate.