Zack and his friends went to a movie on Thursday afternoon. It took 25 minutes to drive to the theater. They arrived at the theater 1 hour and 15 minutes before the movie started. Once it started, the movie lasted for 1 hour and 20 minutes and ended at 4:20 P.M. What time did Zack and his friends leave for the movies
Answer:
2:20
Step-by-step explanation:
The movie started at 3:00 PM they got there at 2:45. and it took them 25 mins to get there meaning they left at 2:20.
Pete's Convenience Store has a beginning inventory of 12 cans of soup at a cost of $.85 each. During the year, the store purchased 4 at $.95, 6 at $1.05, 7 at $1.35, and 8 at $1.50. By the end of the year, 18 cans were sold. Calculate (A) the number of cans of soup ending inventory and (B) the cost of ending inventory under LIFO, FIFO, and weighted average. (Round your final answers to the nearest cent.)
A) The number of cans of soup in ending inventory is 19.
B) The cost of the ending inventory under LIFO, FIFO, and the weighted average is as follows:
LIFO $17.15
FIFO $25.65
Weighted average $21.47
What are the inventory methods?The inventory methods include First-in, First-out (FIFO), Last-in, First-out (LIFO), Weighted Average, and Specific Identification.
FIFO assumes that the physical flow of goods during sales follows the chronological sequence of their acquisition.
LIFO assumes that the first goods acquired are the last to be sold.
The Weighted Average uses an average to determine the costs allocated to ending inventory and the cost of goods sold.
Specific Identification identifies the specific goods sold with their costs.
Description Units Unit Cost Total
Beginning inventory 12 $0.85 $10.20
Purchases 4 $0.95 $3.80
Purchases 6 $1.05 $6.30
Purchases 7 $1.35 $9.45
Purchases 8 $1.50 $12.00
Total 37 $41.75
Sales 18
Ending inventory 19 (37 - 18)
Average cost = $1.13 ($41.75/37)
LIFO:
Ending inventory = $17.15 ($10.20 + $3.80 + 3 x $1.05)
FIFO:
Ending inventory = $25.65 (4 x $1.05 + $9.45 + $12.00)
Weighted Average
Ending inventory = $21.47 (19 x $1.13)
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The purchase price of a diamond ring increases by £20 when the rate of VAT is increased from 12% to 20%. Find the original purchase price of the ring
The original price of the ring is £250.
What is percentage?A percentage is a number or ratio that can be expressed as a fraction of 100.
Given that, the purchase price of a diamond ring increases by £20 when the rate of VAT is increased from 12% to 20%.
Let the original price of the ring be x, then according to question,
120% of x - 112% of x = 20
1.2x - 1.12x = 20
0.08x = 20
x = 20/0.08
x = 250
Hence, The original price of the ring is £250.
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Premise 1: If a person lives in San Francisco, then they live in California. Premise 2: Fred does not live in San Francisco. Conclusion: Fred does not live in California. Let A be the set of people who live in San Francisco, and let B be the set of people who live in California. (a) Draw the Venn diagram that can be used to demonstrate the above information. Include labels for both circles and mark the location of the X. Then choose which option matches your answer? ? C X B (A) B (B) B (C) B (D) А X B (E) (b) Is this argument valid or invalid? Explain on your work paper how you made this conclusion. Invalid
Nice work on selecting "invalid" as the correct answer.
The reason why this argument is invalid is because the 'x' could be in circle B or could be outside circle B. There's simply not enough information.
The venn diagram would either be (A) or (D).
The only information we know is that Fred is does not live in San Francisco, so the 'x' will not be placed inside circle A.
Ignore any diagram where x is on the edge of a circle. That isn't allowed in venn diagrams because a person is either in San Francisco, or they aren't (same goes with California). We can't have blurry boundaries like that. This means venn diagrams (B) and (C) are nonsensical.
Can I have some help asap?
Answer:
I will help you okay????
Oliver borrowed $1,500 to purchase a riding lawn mower for his lawn care business. The bank offered him an interest rate of 12% for 6 months. Calculate the simple interest using I = prt.
$69
$90
$420
$1,080
Answer: The answer to this question is $90.
Step-by-step explanation:
The Simple interest is $90.
What is Simple Interest?Simple interest is a quick and simple formula for figuring out how much interest will be charged on a loan. The daily interest rate, the principle, and the number of days between payments are multiplied to calculate simple interest.
For example, if you borrowed $100 from a friend and agree to repay it with 5% interest, then the amount of interest you would pay would just be 5% of 100: $100(0.05) = $5.
Given:
P= 1500
R = 12%
T= 6 month = 1/2 year
Using, formula of Simple Interest
I = P x R x T /100
I = 1500 x 12 x 1/ 2x100
I = 18000/200
I = 90
Hence, the interest is $90.
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Translate (in terms of x) then solve the algebraic equation:
Nine is subtracted from twice some number and the result is the sum of the number
and 7.
The Algebraic Equation is correct
What is Algebra?
One of the many branches of mathematics is algebra. Algebra, which is a common thread throughout practically all of mathematics, is broadly defined as the study of mathematical symbols and the rules for manipulating these symbols in formulas.
Two times a certain quantity
When a number is divided by two, ten is subtracted: 2x-9
The equal sign is a result.
The number and its sum equals 7+x.
Put everything together (except for the first 2x, that was used to find the second part).
2x-9=7+x
Get all of your like terms on the same side first. Because dealing with a negative variable can result in an additional step at the end, I personally dislike dealing with them. As a result, I'll take the n on the right and shift it to the 2x on the left.
2x-9=7+x
x-9=7
The -9 must now be positioned on the other side of the equal sign.
x = 7 + 9
x=16
Connect the 16 to the original equation to make sure you're doing it correctly.
2(16)-9=7+(16)
32-9=7+16
23=23
It is accurate.
Hence, The algebraic equation is correct
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Which of the quotients is equivalent to -5/8? Select all that apply.
The equivalent quotient to -5/8 are; -5/8 and .5/-8.
The correct answer options are options A and C
How to find equivalent quotient?A quotient is the number resulting from the division of one number by another. For instance, the quotient of 12 divided by 4 is 3.
A divisor number or expression that another is to be divided by. For instance, in "42 ÷ 3" the divisor is the 3.
Dividend is a number or expression that is to be divided by another. For instance, In "42 ÷ 3" the dividend is the 42.
Complete question:
Given options:
A. -5/8
True
B. 5/8
False
C.5/-8
True
D. -(5/-8)
False
E. -5/-8
False
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Write an absolute value equation which means t is 7 units
from zero.
PLEASE HELP 50 POINTS PLUS BRAINLEST ANSWER ASAP Multiply (2.36 x 10^−9)(8.4 x 10^15). Write the final answer in scientific notation.
1.9824 x 10^7
19.824 x 10^6
1.9824 x 10^−134
19.824 x 10^−135
The explanation is above
Answer:
THE CORRECT ANSWER IS 1.9824 x 10^7
Step-by-step explanation:
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ou get an auto loan at 6% interest for 5 years; please answer the following. You can afford a $350 per month car payment; how expensive a car can you afford? (Round to two decimal places and do not include a dollar symbol)
You can afford a car at a price of 13,016.79
What is the monthly payment formula?
The monthly payments are given by the equation presented as follows:
[tex]A=P\frac{R(1+R)^{n} }{(1+R)^{n}-1 }[/tex]
where R = r / 12
P is the initial amount , r is the interest rate , n is the number of payments.
Given data ,
A = $ 350
R = 6 %
r = 6 / 12 %
= 0.5 %
= 0.005
n = 5 years
= 5 x 12 months
= 60
Therefore , the maximum value of the car is calculated as
[tex]A=P\frac{R(1+R)^{n} }{(1+R)^{n}-1 }[/tex]
[tex]250=P\frac{0.005(1+0.005)^{60} }{(1+0.005)^{60}-1 }[/tex]
[tex]250=P\frac{0.0067}{1.3488501-1}[/tex]
[tex]P = \frac{250*0.348850}{0.0067}[/tex]
[tex]P=\frac{87.2125}{0.0067}[/tex]
P = 13016.79
Hence , you can afford a car at a price of 13,016.79
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MIXED REVIEW
Directions: Arrange the numbers in order from least to greatest.
21) 32%, pi, 2 1/2 √9
22) -3.4, -4, -3, -2 1/2, -pi
23) 250%, 3.4, -%, 0
The solution is
a) The ascending order is 32 % < 2 1/2 < √9 < π
b) The ascending order is -4 < -3.4 < -3 < -2 1/2 < π
c) The ascending order is -5/8 < 0 < 250% < 3.4
What is Ascending Order?
When numbers are arranged in ascending order, they are done so from least to largest. We must first compare the numbers before we may arrange them in any order. Compare first, then order. Numbers arranged in ascending order: Determine how many digits each number has.
Given data ,
A)
32 % , π , 2 1/2 , √9
32 % = 32 / 100
= 0.32
π = 3.14
2 1/2 = 2.5
√9 = 3
So , arranging the numbers in ascending order we get ,
0.32 < 2.5 < 3 < 3.14
Hence , the ascending order is 32 % < 2 1/2 < √9 < π
B)
-3.4 , -4 , -3 , -2 1/2 , π
Hence , the ascending order is -4 < -3.4 < -3 < -2 1/2 < π
C)
250 % , 3.4 , -5/8 , 0
250 % = 2.5
-5/8 = -0.625
So , arranging the numbers in ascending order we get
-0.625 < 0 < 2.5 < 3.4
Hence , the ascending order is -5/8 < 0 < 250% < 3.4
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there is a number written on the board. one student increased the number by 12. another student multiplied the number written on the board by 3. the first student's result is 2 greater than the second student's result. what is the number written on the board?
From the given condition of number written on the board, first student increased it by 12 and second multiply by 3 the result of first one is greater than the second by 2 then number written on the board is 5.
As given in the question,
Let x be the number written on the board.
First student increased the number on board by 12 = x +12
Second student multiply the number on board by 3 = 3x
Required equation as per given condition is:
x +12 = 3x + 2
⇒ 3x -x = 12 -2
⇒ 2x = 10
⇒ x = 10/2
⇒ x= 5
Therefore, for the number written on the board, first student increased it by 12 and second multiply by 3 the result of first one is greater than the second by 2 then number written on the board is 5.
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Questions
Surds exam questions
Q1. Express √3+√12 in the form a√3 where a is an integer.
In a school of 320 children, 45% of the children speak a language other
than English at home.
(i) Calculate the number of children in the school who speak a
language other than English at home.
(ii) Of the children who speak a language other than English at home,
24 speak Polish. Write the number of children who speak Polish as
a fraction of the number of children who speak a language other than English at home.
Give your answer in its simplest form.
The number of children in the school who speak a language other than English at home is 144.
The fraction of children who speak Polish is 1/6.
How many children speak a language other than English?Percentage is the ratio of a quantity expressed as a number out of 100. Percentage is a measure of frequency. The sign that is used to represent percentage is %.
Number of children in the school who speak a language other than English at home = Percentage of the students who speak a language other than English x number of children
Number of children in the school who speak a language other than English at home = 45% x 320
Number of children in the school who speak a language other than English at home = 0.45 x 320 = 144
A fraction is a non-integer that is made up of a numerator and a denominator. The numerator is the number above and the denominator is the number below.
Fraction of the students who speak Polish = number of students that speak Polish / total number of students who speak a language other than English.
Fraction of the students who speak Polish = 24 / 144 = 1/6.
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19 is what percent of 500?
Answer:95
step by step explanation
Given that f(x)=x+4 and g (x)=3x/x+1 (1) determine the value of f(9)
The value of f(9) is 13
The function f(x) = x + 4
The function g(x) = 3x / x+1
The function is the mathematical statement that show the relationship between one variable and another variable. If one variable is independent variable and another variable will be dependent variable. Also the function is the equation that shows the relationship between the input and output.
The function
f(x) = x + 4
We have to find the value of f(9)
We have to substitute the value of x = 9 in the function
f(9) = 9 + 4
Add the terms
f(9) = 13
Hence, the value of f(9) is 13
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I've been stuck on this problem for awile can anyone help?
7z-4=12+3z
Answer:
z = 4
Step-by-step explanation:
7z - 4 = 12 + 3z
1) We want to first move the z values to one side of the equation. This means we would subtract 3z from both sides to move it to the left side. This would give us 4z - 4 = 12.
2) We then want to isolate the z value. This means we want to move the -4 to the right side. We would add 4 to both sides and get 4z = 16.
3) We can then divide both sides by 4 and get the value for z.
This gives us z = 4.
The rectangle below has an area of y² + 8xy + 7a² square meters and a length of y + x
meters.
What expression represents the width of the rectangle?
The width of a rectangle is (7x+y) meters.
What is the area of a rectangle?
A flat surface of a specific shape can be thought of as the area it occupies in space. In terms of the "number of" square units, it is measured (square centimeters, square inches, square feet, etc.) The number of unit squares that can fit inside a rectangle is the area of that shape. The flat surfaces of laptop monitors, chalkboards, canvases, and other objects are a few instances of rectangular shapes.
Area of the rectangle is = (7[tex]x^{2}[/tex]+8xy+[tex]y^{2}[/tex]) square meter
length of the rectangle is = (x+y) meters
we know, the area of the rectangle= length×width
So, the width of the rectangle = (7[tex]x^{2}[/tex]+8xy+[tex]y^{2}[/tex])/(x+y) meters
=(7x+y)(x+y)/(x+y) meters
=(7x+y) meters
Hence, The width of a rectangle is (7x+y) meters.
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Use the properties of logarithms to rewrite the following expression as a single logarithm. Please see attached pic.
Answer:
log4 (70)
Step-by-step explanation:
log4(7) + log4(10) = log4(7 * 10 ) = log4(70)
High-fiber foods have at least 5 g of fiber per serving. Let f be the
Number of grams of fiber per serving of high-fiber food. Which inequality
Describes this situation?
A.) f > 5
B.) f < 5
C.) f ≤ 5
D.) f≥ 5
A.
B.
C.
D.
The inequality that describes this situation is f ≥ 5
How to calculate the inequality ?
Use the steps below to solve an inequality:
Step 1: Subtract all fractions by multiplying each term by the sum of all fractions' least common denominators.
Step 2: Simplify the inequality by merging like terms on each side.
Step 3: Add or subtract amounts to get the unknown and the numbers on either side.
As per the question it tells the High- fiber should have at least 5g of fiber per serving
f = Number of grams of fiber per serving of high-fiber food
∴ f ≥ 5
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Simplify. 5-[-(-2)]
Answer:
3
Step-by-step explanation:
Fine the values of x and y.
Answer:
x = 55
y = 20
Step-by-step explanation:
Angles on a straight line sum to 180°.
Finding x
⇒ 75° + (2x - 5)° = 180°
⇒ 75 + 2x - 5 = 180
⇒ 2x + 70 = 180
⇒ 2x + 70 - 70 = 180 - 70
⇒ 2x = 110
⇒ 2x ÷ 2 = 110 ÷ 2
⇒ x = 55
Finding y
⇒ 75° + (4y + 25)° = 180°
⇒ 75 + 4y + 25 = 180
⇒ 4y + 100 = 180
⇒ 4y + 100 - 100 = 180 - 100
⇒ 4y = 80
⇒ 4y ÷ 4 = 80 ÷ 4
⇒ y = 20
Which expressions are equivalent to 4n+5?
Select two correct answers.
5n+4
4n+20
1/4(16n+20)
4+n+5
5+4n
Lorena chooses a golf ball from the bucket at random 4 more times and 3 of the golf balls are blue. what is an experimental probability of choosing a blue golf ball based on Lorena's trials?
The experimental probability of choosing a blue golf ball based on Lorena's trials is 0.75.
What is probability?Probability is the occurence of likely events. It is the area of mathematics that deals with numerical estimates of the likelihood that an event will occur or that a statement is true
In this case, Lorena chooses a golf ball from the bucket at random 4 times and 3 times, he picked blue balls.
The probability of picking a blue ball will be:
= Number of times a blue ball was picked / Total number of trials
= 3/4
= 0.75
The probability is 0.75.
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Answer:
60%
Step-by-step explanation:
i actually hope this helps!
Some -digit numbers, such as 300003 and 604406, read the same forward and backward. If a boy selects a number from all six -digit numbers, find the probability that it will read the same forward and backward.
The probability that the boy will select a palindrome number is 1/900.
What is a palindrome?A number that reads the same both forward and backward is known as a palindrome.
The 6 digits palindrome numbers can be formed starting from 100 and writing the reverse of 100 before 100 like 100-001, 101-101, 102-201,...,
995-599, 996-699, 997-799, 998-899,999-999.
Therefore, the 6 digits palindrome numbers can be formed using three digits starting from 100 to 999.
Since we are starting from 100, subtract 99 from 999 to get the total number of 6 digits palindrome numbers,
999-99
=900
Therefore, there are 900 six digits palindrome numbers.
The probability of selecting one palindrome number out of a total of 900 numbers is,
1/900
Therefore, the probability that the boy will select a palindrome number is 1/900.
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what does d = math help please ......
Answer:
d = -5
Step-by-step explanation:
[tex]\frac{4}{5}d + 3 = -2 -\frac{1}{5}d\\ \\ \frac{4}{5}d + \frac{1}{5} d = -3 -2\\\\\frac{4+1}{5}d = -5\\\\ \frac{5}{5} d = -5\\\\d = -5[/tex]
Check:
[tex](\frac{4}{5} )(-5) + 3 = (-2) - (\frac{1}{5})(-5)\\\\(\frac{-20}{5} ) + 3 = -2 - (\frac{-5}{5} ) \\\\-4 + 3 = -2 + 1\ = -1[/tex]
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Answer:
224 in²
Step-by-step explanation:
The formula for the area of a triangle is 0.5bh, where b is the base and h is the height. Here the base is '4t' and the height is '7t'. Subbing in 4 for t, we get
Base = 4(4) = 16
Height = 7(4) = 28
Subbing this values into our formula for the area of a triangle, and we have:
Area = 0.5(16)(28) = 224 in²
What must be added to this expression
to make it a perfect square?
9/16 must be added to this expression [tex]x^{2} -3x/2[/tex] to make it a perfect square.
According to the question,
We have the following expression:
[tex]x^{2}[/tex] -3x/2
Now, in the given four options, we only have two perfect squares which 9/16 and 16/9.
Now, 9/16 is the square of 3/4.
So, we will first solve it using 9/16:
[tex]x^{2}[/tex]-3x/2+9/16
Now, this formula is of identity [tex](a-b)^{2}[/tex] where we have a = x and b = 3/4.
The formula of the identity [tex](a-b)^{2} = a^{2} + b^{2} -2ab[/tex].
Now, adding 9/16 make it a perfect whole square.
(More to know: we can add or subtract a number or a term from an expression to make it a perfect square or perfect cube.)
Hence, the correct option is C.
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Help me out with this
The derivative of the function f(x) = Sin⁻¹(3x) is f'(x) = 3/√(1-9x²) , the correct option is (c) .
In the question ,
a function is given as
f(x) = Sin⁻¹(3x) , we need to find the derivative .
we know that the derivative of Sin⁻¹(x) is equal to 1/√(1 - x²) .
So , on differentiating both sides with respect to "x" .
we get
f'(x) = d/dx (Sin⁻¹(3x))
= 1/√1-(3x)² × d/dx (3x)
= 1/√(1 - 9x²) × 3
On simplifying further ,
we get
= 3/√(1 - 9x²)
Therefore ,the derivative of the function is 3/√(1-9x²) , the correct option is (c) .
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