Two times or Twice the sum of a number and 3 is 8. The value of the number will be 1.
Let the value of the unknown number or variable be c.
Given,
"Two times the sum of a number and 3 is equal to 8", which means when you add the unknown number with 3 and then multiply it by 2, then the final answer will come as 8.
If we form the statement into an equation, then finding the value of the unknown variable will be a lot easier.
The equation will be:
2(c + 3) = 8
=> 2c + 6 = 8
=> 2c = 8- 6
=> 2c = 2
=> c = 2/2
=> c = 1.
Hence, the value of the unknown number c will be 1.
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How would I solve this?
Answer:
y=2x-22
Step-by-step explanation:
lets make the equation into slope intercept form
-2x+y=-8 let's move the -2x to the other side we get
y=2x-8
now let's create our equation with the points given
to create the equation you want to make it point slope form with the point given
y-0=2(x-11) distribute the 2 and we can remove the 0
y=2x-22
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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Find the value(s) of c guaranteed by the Mean Value Theorem for Integrals for the function over the given interval. (Round your answer to four decimal places. Enter your answers as a comma-separated list.)
f(x)= 5[tex]\sqrt{x}[/tex], [4,9]
The value of c by using the mean value theorem is c = 6.25.
What is a mean value theorem?The mean value theorem in mathematics says that for any given planar arc between two endpoints, there exists at least one point where the tangent to the arc is parallel to the secant between its endpoints. It is one of the most significant findings in the real-world analysis.
Given that the function is f(x) = 5√x and the interval is (4,9).
Calculate the value of 'c' as below,
f(x) = 5√x
f(4) = 5√4 = 10
f(9) = 5√9 = 15
Calculate the value of f'(c) as below,
f'(c) = ( f(b) - f(a) ) / (b - a)
f'(c) = f(9) - f(4) / ( 9 - 4 )
f'(c) = (15 - 10 ) / ( 9 - 4)
f'(c) = 1
Again the value of f'(x) is,
f'(x) = 5/2/√x
f'(c) = 5 / 2 / (√c)
5 / 2 / (√c) = 1
√c = 5 / 2
c = 25 / 4
c = 6.25
Therefore, the value of c by using the mean value theorem is c = 6.25.
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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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THE FIRST ANSWER GETS THE BRAINLIEST!
Which lists the distances between towns in order from greatest to least?
(picture of problem below)
Answer:
Step-by-step explanation:
the side opposite to greater angle is greater.
72>60>48
AB>AC>BC
A=Afton
B=Badeton
C=Capeton
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]
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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Complete the table: (Enter your answers as a whole dollar amount.) Units Unit Cost Dollar Cost Beg. Inventory Jan. 1 20 $ 8.00 A May 10 15 $ 11.00 B June 30 17 $ 20.00 C Dec. 10 12 $ 21.00 D 24 units not sold
1. The completion of the inventory table is as follows:
A = $160B = $165C = $340D = 252.2. The Cost of Ending Inventory and the Cost of Goods Sold under LIFO, FIFO, and Weighted-Average, are as follows:
LIFO FIFO Weighted-Average
Ending inventory $425 $691 $573
Cost of goods sold $492 $226 $344
How do the inventory methods differ?FIFO (First-in, First-out) lies on the assumption that the physical flow of goods sold depends on the chronological order of acquisition.
LIFO (Last-in, First-out) assumes that the cost of goods sold should be based on the latest inventory purchases.
The weighted-average method uses the average cost of goods to determine both the ending inventory and the cost of goods sold.
LIFO:
Ending inventory = $425 ($917 - $492)
Cost of goods sold = $492 (12 x $20 + 12 x $21)
FIFO:
Ending inventory = $691 (9 x $11 + 17 x $20 + 12 x $21)
Cost of goods sold = $226 ($917 - $691)
Weighted Average:
Ending inventory = $573 (40 x $14.33)
Cost of goods sold = $344 (24 x $14.33)
Inventory Table:Units Unit Cost Total Cost
Jan. 1 Beg. Inventory 20 $8.00 $160
May 10 Purchases 15 $11.00 $165
June 30 Purchases 17 $20.00 $340
Dec. 10 Purchases 12 $21.00 $252
Total 64 $917
Units sold 24
Ending inventory 40 (64 - 24)
Average cost = $14.33 ($917/64)
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Question Completion:2. Calculate the cost of the ending inventory and the cost of goods sold under LIFO, FIFO, and Weighted-Average.
7 candy bars cost $6.65. At this rate, how much do 9 candy bars cost?
Answer: $8.55
because 6.65 divided by 7 is 0.95 and 0.95 multiplied by 9 is 8.55
so the answer is $8.55
Can I have some help asap?
Answer:
I will help you okay????
a vegetable seller purchased 1 quintal of potatoes at rs 35 per kg and sold at a loss of rs 350. find his rate of selling price and loss percent
Answer:
Selling price = RS 3150
Loss percent = 10%
Step-by-step explanation:
1 quintal = 100kg
Cost price = 35*100
= RS 3500
Loss = RS 350
Selling price = RS 3500-350
Selling price = RS 3500-350 =RS 3150
Loss percent = Loss *100%
Cost Price
= 0.1 *100
= 10%
Please, mark brainliest answer
3.201 x 10^9 and 4.85 x 10^3
(3.201 x 10^9) * (4.85 x 10^3) =
15524850000000
in scientifc notation
1.552485 x 10^13
Please help 25 points
The angles that are congruent are as follows:
∠EBF and ∠GBH∠DEA and ∠BEC∠FBG and ∠HBE∠AEB and ∠CEDWhat are vertical angles?Vertical angles are angles that are opposite of each other when two lines cross. In other words, vertical angles are formed when two lines meet each other at a point.
Vertically opposite angles are congruent.
Therefore, let's find the angles that are congruent in the diagram.
When lines intersect angle relationship such as vertically opposite angles are formed.
Therefore, the following angles are congruent because they are vertically opposite angles.
∠EBF and ∠GBH are congruent. ∠DEA and ∠BEC are congruent. ∠FBG and ∠HBE are congruent. ∠AEB and ∠CED are congruent.learn more on vertical angles here: https://brainly.com/question/24460838
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Patel is solving 8x2 + 16x + 3 = 0. Which steps could he use to solve the quadratic equation? Select three options. 8(x2 + 2x + 1) = –3 + 8 x = –1 Plus or minus StartRoot StartFraction 5 Over 8 EndFraction EndRoot x = –1 Plus or minus StartRoot StartFraction 4 Over 8 EndFraction EndRoot 8(x2 + 2x + 1) = 3 + 1 8(x2 + 2x) = –3
The steps that Patel could he use to solve the quadratic equation include:
8(x² + 2x) = –3
8(x² + 2x + 1) = –3 + 8
x = –1 Plus or minus StartRoot StartFraction 5 Over 8 EndFraction EndRoot
How to illustrate tye information?It is preferred to solve quadratic equations without the use of the known quadratic formula solver. This can be completing squares and solving for x.
The equation given is:
8x² + 16x + 3 = 0
8(x² + 2x) = -3
Completing squares in the brackets and balancing the equation:
8(x² + 2x + 1) = -3 + 8
Factoring the perfect square will give 8(x + 1)² = 5.
This is illustrated in the options picked for the step.
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Determine which integer will make the inequality 12 > 2x + 4 true.
Answer: Integers less than 4 will make the inequality true.
Step-by-step explanation:
1) subtract both sides by 4 to isolate 2x so we are now left with 8 > 2x.
2) divide both sides by 2 so we are left with just x, leaving us now with 4 > x.
Integers must be less than 4 because if you substitute x as 4, we have 12 > 12, which is not true. But, if we substitute x as 3, we are left with 12 > 10, which makes the inequality true.
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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Questions
Surds exam questions
Q1. Express √3+√12 in the form a√3 where a is an integer.
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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The greatest temperature ever recorded in the United States occurred at an elevation of 178 feet below sea level. The greatest temperature ever recorded in Africa occurred at an elevation of 545 feet greater than in the United States. At what elevation, in feet, did the greatest temperature in Africa occur?
The greatest temperature in Africa occur is 367 feet.
What are integers?The collection of positive and negative integers is known as an integer. Integers, like whole numbers, do not include the fractional portion.
Zero (0)Positive Integers (Natural numbers)Negative Integers (Additive inverse of Natural Numbers)Given:
The greatest temperature ever recorded in the United States occurred at an elevation of 178 feet below sea level.
Using integers we represent it as (-178) feet.
and, greatest temperature ever recorded in Africa 545 feet greater than in the United States
= -178 + 545
= 367 feet.
Hence, The greatest temperature in Africa occur is 367 feet.
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The mean height of 12 men is 1.70 m, and the mean height of 8 women is 1.60 m. Find:the total height of the 12 men
Answer:
20.4 m
Step-by-step explanation:
mean is calculated as
mean = [tex]\frac{total}{count}[/tex]
given mean height of 12 men is 1.70 m , then
[tex]\frac{total}{12}[/tex] = 1.7 ( multiply both sides by 12 to clear the fraction )
total height = 12 × 1.7 = 20.4 m
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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Write these as normal numbers.
b)
9.6 × 10⁹
Answer:
9600000000
Step-by-step explanation:
9.6 x (10^9)
First, write 10^9 as 1000000000
Multiply by 9.6
= 9600000000.
19 is what percent of 500?
Answer:95
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
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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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!
A coin (5 grams), a small parachute (21 grams), and a hammer (710 grams) are all dropped from a height of 10 meters. The coin and the hammer take
about the same amount of time to fall. Which statement describes the time it takes for the parachute to fall? (1 point)
O It takes less time to fall because it has the most surface area.
O It takes the same amount of time to fall because the effect of gravity is the same.
O It takes less time to fall because it has the least mass
O It takes longer to fall because it experiences greater air resistance.
Answer:
the last one= It takes longer to fall because it experiences greater air resistance.
also the reason is the air resistance provides an upthrust to the parachute which takes longer time to fall
Answer: It takes longer to fall because it experiences greater air resistance.
What is 3/4 written in 12 of denominator
Answer: The correct answer in 9/12
Step-by-step explanation:
For 3/4, the numerator is 3 and the denominator is 4
To change the denominator to 12, you must multiply by 3 (12/4=3)
3/4 * 3/3
= (3*3)/(4*3)
= 9/12
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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A company that most adults would erase all of their personal data online if they could. In order to test this claim, a GFI Software Survey of 565 randomly selected adults showed that 59% of them would erase all of their personal information online if they could.
A. State the null and alternative hypotheses (in symbols).
B. Explain what a Type 1 and a Type 2 error would be in this case.
C. State the conclusion if the null hypothesis is rejected.
D. State the conclusion if the null hypothesis is not rejected.
a) The null and alternative hypothesis are given as follows:
Null: [tex]H_0: p \leq 0.5[/tex]Alternative: [tex]H_1: p > 0.5[/tex]b) The errors are given as follows:
Type I: A sample which gives enough evidence that most people would erase the data, if in reality they wouldn't.Type II: A sample in which the proportion of people that would erase their data isn't significantly above 50%, when in fact it is.c) The conclusion of a rejected null hypothesis is: There is enough evidence that most adults would erase their data if they could.
d) The conclusion of a not rejected null hypothesis is: There is not enough evidence that most adults would erase their data if they could.
What are the hypothesis tested?At the null hypothesis, it is tested if there is not enough evidence that most adults would erase all of their personal data online if they could, that is, if the proportion is not greater than 50%, hence:
[tex]H_0: p \leq 0.5[/tex]
At the alternative hypothesis, it is tested if there is enough evidence that they would erase the information, that is, if the proportion is greater than 50%, hence:
[tex]H_1: p > 0.5[/tex]
A rejected null hypothesis means that the alternative hypothesis is accepted, that is, there is enough evidence that most adults would erase their data if they could.
A not rejected null hypothesis, conversely, means that there is not enough evidence that most adults would erase their data if they could.
What are type I and type II errors?Type I errors are when a true null hypothesis is rejected. Hence, the context of this problem, it would mean a sample which gives enough evidence that most people would erase the data, if in reality they wouldn't.
Type II errors are when a false null hypothesis is not rejected. Hence, the context of this problem, it would mean a sample in which the proportion of people that would erase their data isn't significantly above 50%, when in fact it is.
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