Answer:
2 1/6 hours
Step-by-step explanation:
2 1/3 + 1 1/2 + x = 6
convert all mixed numbers to improper fractions
7/3 + 3/2 + x = 6/1
change all numbers to have a common denominator
14/6 + 9/6 + x = 36/6
combine like terms
23/6 + x = 36/6
subtract 23/6 from both sides
x = 13/6
convert improper fraction to mixed number
2 1/6
Please answer the question. URGENT
Answer:
the answer is 30.39
Step-by-step explanation:
you have to separate the square and the rectangle the you do the área of the two shape for separte then you add the results
n is an odd number.
Which statements are true?
You must get them all correct to get any marks.
A: n²-1 is odd
E: n(n-2) is odd F: (n-2)² is odd
B: n(n-1) is odd C: (n-1)² is odd
D: n² + 2 is odci
Answer:
True:
D.
E.
F
Step-by-step explanation:
First, you should know that the square of any odd number is also odd.
The easiest way to go about this is to plug in an odd number for n. Lets use 3:
Plug 3 into A:
\(3^{2} -1=9-1=8\)
Plug 3 into B:
\(3(3-1)=9-3 = 6\)
Plug 3 into C:
\((3-2)^{2} = 2^{2} = 4\)
Plug 3 into D:
\(3^{2} +2 = 9+2=11\)
Plug 3 into E:
\(3(3-2) = 9-6 = 3\)
Plug 3 into F:
\((3-2)^{2}=1^{2} =1\)
Please i need help :(
Answer:
Distributive property, Inverse Operation, and Division property of Equality
Step-by-step explanation:
Because 8•x is 8x and 8x3 is 24 so then the equation would be 8x-24=-40 then you have to add 24 on both sides to the 8x by itself and also get -16 which you would divide 8 on both sides to get x= -2
Alfred has twelve coins in his piggy bank. Some of the coins are quarters, some are nickels, and he has a total of $3.15. Which system of equations can be used to determine how many quarters, x, and how many nickels, y, he has?
Please don't answer unless you know the answer.
Suppose Gil can write a poem in 1 hour, Holly can write a poem in 2 hours, and Ivan can write a poem in 3 hours. Each person spends 12 hours per day writing poems and requires a wage of $10 per hour to do so. If a literary magazine needs one poem, how much will it cost
Answer:
The literary magazine must pay $ 10 if poem is written by Gil, $ 20 if poem is written by Holly and $ 30 if poem is written by Ivan.
Step-by-step explanation:
The wage indicate the amount of money earned in hour for production of poems. If a literary magazine needs just one poem, then the cost will be the wage multiplied by time taken for the creation of the poem. There are three possibilities:
Gil
\(C = \left(10\,\frac{USD}{h})\cdot (1\,h)\)
\(C = 10\,USD\)
Holly
\(C = \left(10\,\frac{USD}{h}\right)\cdot (2\,h)\)
\(C = 20\,USD\)
Ivan
\(C = \left(10\,\frac{USD}{h}\right)\cdot (3\,h)\)
\(C = 30\,USD\)
The literary magazine must pay $ 10 if poem is written by Gil, $ 20 if poem is written by Holly and $ 30 if poem is written by Ivan.
is it true that two pairs of adjacent sides of a kite are equal
Yes , it is true that two pairs of adjacent sides of a kite are equal .
A kite is a quadrilateral with two pairs of equal adjacent sides. The angles between adjacent pairs of sides are equal. The kite shape is a rectangle with two pairs of adjacent sides of equal length. The side pairs of the kite are not parallel, but the diagonal pairs are equal.If two sides share a common angle, then they are called adjacent sides.A quadrilateral with two pairs of adjacent sides equal in length is called a kite. Kites also have one pair of opposite angle equal as shown in the figure below.
Hence , the given statement is true .
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Lara grows apples in her orchard and sells them at the weekly farmer's market. Each week, she sells the apples for a different price and records the number of apples sold. The scatter plict below
shows the price of one apple and the number of apples that were sold. A line of best fit for these data points, the equation y=-z+32, is also shown on the plot
Apples Number of Apples Sold
This table shows a function.
(-16, -41)
(-15, -20)
(-7, -2)
(-5, 5)
(2, 1)
(13, 10)
What is the average rate of change over the interval 2 ≤ x ≤ 137
A. -11/9
B. -9/11
C. 9/11
D. 11/9
Answer: Choice C) 9/11
========================================================
Explanation:
Finding the average rate of change over the interval 2 ≤ x ≤ 13 is the exact same as finding the slope of the line through the points (2,1) and (13,10)
\((x_1,y_1) = (2,1) \text{ and } (x_2,y_2) = (13,10)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{10 - 1}{13 - 2}\\\\m = \frac{9}{11}\\\\\)
The slope of the line through (2,1) and (13,10) is 9/11 which is also the rate of change we're looking for.
helppp it's urgent and I don't understand dhow to do this please.
Answer:
i) Consecutive interior angles
ii) Supplementary angles
iii) The two oars are parallel by consecutive interior angles theorem
Step-by-step explanation:
i) m∠1 and m∠2 lie between two line and on the same side of the line passing through the two lines. Therefore, they are consecutive interior angles
ii)x = 10
m∠1 = 6x + 18
= 6(10) + 18
= 60 + 18
= 78
m∠2 = 9x + 12
= 9(10) + 12
= 90 + 12
= 102
m∠1 + m∠2 = 72 + 108 = 180
Since m∠1 and m∠2 add to 180, they are supplementary angles.
iii) The two oars are parallel
consecutive interior angle theorem:
If a transversal cuts through two line and the consecutive interior angles are supplimentary, then the two lines are parallel
Find the missing side lengths. Leave your answers and radicals in the simplest form.
Answer:
u = 12;
v = 6
Step-by-step explanation:
Use trigonometry:
\( \tan(60°) = \frac{6 \sqrt{3} }{v} \)
Use the property of proportion to find v:
\(v = \frac{6 \sqrt{3} }{ \tan(60°) } = \frac{6 \sqrt{3} }{ \sqrt{3} } = 6\)
Use the Pythagorean theorem to find u:
\( {u}^{2} = {v}^{2} + ( {6 \sqrt{3}) }^{2} \)
\( {u}^{2} = {6}^{2} + ( {6 \sqrt{3}) }^{2} = 36 + 36 \times 3 = 36 + 108 = 144\)
\(u > 0\)
\(u = \sqrt{144} = 12\)
scores on a management aptitude examination are normally distributed with a mean of 72 and a standard deviation of 8.we want to find the lowest score that will place a manager in the top 10% (90th percentile) of the distribution. which of the following is true to solve this problem?
The lowest score for the normally distribution with mean 72 and standard deviation 8 is equal to 82.
Mean of the normally distributed data 'μ' = 72
Standard deviation 'σ ' = 8
Lowest score with 10% ( 90percentile )
z = InvNorm(0.90)
= 1.28
Let 'X' be the lowest score for the normal distribution
z = ( X - μ ) / σ
Substitute the values we get,
⇒ 1.28 = ( X - 72 ) / 8
⇒ X - 72 = 1.28 × 8
⇒ X = 10.24 + 72
⇒ X = 82.24
⇒ X = 82 ( round to an integer )
Therefore, the lowest score for normally distribution which will place manage on 90th percentile with given mean and standard deviation is equal to 82.
The above question is incomplete, the complete question is:
Scores on a management aptitude examination are normally distributed with a mean of 72 and a standard deviation of 8.we want to find the lowest score that will place a manager in the top 10% (90th percentile) of the distribution. Your answer is Please round to an integer number.
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Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
Write with fractional exponents. (Do not use parentheses.)
Answer:
4\(y^{\frac{3}{2} }\)
Step-by-step explanation:
using the rule of exponents/ radicals
\(\sqrt[n]{a^{m} }\) = \(a^{\frac{m}{n} }\)
then
4 \(\sqrt{y^{3} }\)
= 4\(y^{\frac{3}{2} }\)
Translate 2 3 y − 9 < y + 1 into a sentence. Nine than two-thirds of number is less than the number .
The sentence translation of "2/3y - 9 < y + 1" is "Nine less than two-thirds of a number is less than the number."
To translate the inequality expression "2/3y - 9 < y + 1" into a sentence, we can break it down into smaller parts:
"2/3y" represents two-thirds of a number.
"9" represents the number nine.
"y + 1" represents the number increased by one.
Now let's construct the sentence:
"Nine less than two-thirds of a number" - This refers to the expression "2/3y - 9," indicating that we have subtracted nine from two-thirds of a number.
"is less than" - This is the comparison symbol in the inequality.
"the number" - This refers to the expression "y + 1," representing the number increased by one.
Combining these parts, we form the sentence: "Nine less than two-thirds of a number is less than the number."
Hence, the correct sentence translation of "2/3y - 9 < y + 1" is "Nine less than two-thirds of a number is less than the number."
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Allen bought a computer that was 25% off the regular price of $480.
If an 5% sales tax was added to the cost of the computer, what was the total price Allen paid for it?
Answer:
144? or 126 sorry
Step-by-step explanation:
What is the solution to to the equation x − 2/5 = −1?
Enter your answer as a fraction in simplest form in the box.
Answer:
x = -0.6Step-by-step Solution:
Isolate the variable x to get the answer.
x − 2/5 = −1=> x = -1 + 2/5=> x = -1 + 0.4=> x = -0.6Hence, the value of x is -0.6.
whats 25.28 in expanded form
A function is described by f(x) - 2x -3. The replacement set for the independent variable is
{-1, -2, 1,5). Which of the following would belong to the corresponding set of values of the
dependent set?
Answer:
The corresponding set of values of the dependent set is: {-5, -7, 0}
Step-by-step explanation:
Dependent variable and independent variable:
Suppose we have a function f(x).
The independent variable is the input value of the function, that is, x.
The dependent variable is the output value of the function, that is, f(x).
The replacement set for the independent variable is (-1, -2, 1,5).
The values of the dependent set are respectively, f(-1), f(-2) and f(1.5). So
We have that: \(f(x) = 2x - 3\). So
\(f(-1) = 2(-1) - 3 = -2 -3 = -5\)
\(f(-2) = 2(-2) - 3 = -4 -3 = -7\)
\(f(1.5) = 2(1.5) - 3 = 3 -3 = 0\)
The corresponding set of values of the dependent set is: {-5, -7, 0}
solve for x. assume that lines which appear tangent are tangent
Answer:
x = 9
Step-by-step explanation:
given two secants to a circle from an external point , then
the product of the measures of one secant's external part and that entire secant is equal to the product of the measures of the other secant's external part and that entire secant , that is
x(x + 21) = 10(10 + 17) ← distribute parenthesis
x² + 21x = 10 × 27 = 270 ( subtract 270 from both sides )
x² + 21x - 270 = 0 ← in standard form
(x + 30)(x - 9) = 0 ← in factored form
equate each factor to zero and solve for x
x + 30 = 0 ⇒ x = - 30
x - 9 = 0 ⇒ x = 9
however, x > 0 , then x = 9
To pay for a home improvement project that totals $20,000, a homeowner is choosing between two different credit card loans with an interest rate of 9%. The first credit card compounds interest quarterly, while the second credit card compounds monthly. The homeowner plans to pay off the loan in 10 years.
Part A: Determine the total value of the loan with the quarterly compounded interest. Show all work and round your answer to the nearest hundredth. (4 points)
Part B: Determine the total value of the loan with the monthly compounded interest. Show all work and round your answer to the nearest hundredth. (4 points)
Part C: What is the difference between the total interest accrued on each loan? Explain your answer in complete sentences. (2 points)
Please only responded if you know how to do it, will give the brainiest to however answers it correctly
The total value of the loan with quarterly compounded interest is approximately $45,288.38, while the total value of the loan with monthly compounded interest is approximately $45,634.84. The difference in total interest accrued is approximately $346.46.
Part A: To determine the total value of the loan with quarterly compounded interest, we can use the formula for compound interest:
A = P(1 + r/n)^(nt),
where:
A is the total value of the loan,
P is the principal amount (initial loan amount),
r is the interest rate (in decimal form),
n is the number of times interest is compounded per year,
and t is the number of years.
Given:
P = $20,000,
r = 9% or 0.09,
n = 4 (quarterly compounding),
t = 10 years.
Substituting the values into the formula, we have:
A = 20000(1 + 0.09/4)^(4*10).
Calculating this value, we find:
A ≈ $45,288.38.
Therefore, the total value of the loan with quarterly compounded interest is approximately $45,288.38.
Part B: To determine the total value of the loan with monthly compounded interest, we follow the same formula but with a different value for n:
n = 12 (monthly compounding).
Substituting the values into the formula, we have:
A = 20000(1 + 0.09/12)^(12*10).
Calculating this value, we find:
A ≈ $45,634.84.
Therefore, the total value of the loan with monthly compounded interest is approximately $45,634.84.
Part C: The difference between the total interest accrued on each loan can be calculated by subtracting the principal amount from the total value of each loan.
For the loan with quarterly compounding:
Total interest = Total value - Principal
Total interest = $45,288.38 - $20,000
Total interest ≈ $25,288.38.
For the loan with monthly compounding:
Total interest = Total value - Principal
Total interest = $45,634.84 - $20,000
Total interest ≈ $25,634.84.
The difference between the total interest accrued on each loan is approximately $346.46.
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Which expression is equivalent to (24m+36)+(12m+18)?
A
6(4m+9)+3(4m+9)
B
4(6m+9)+3(6m+9)
C
12 (2m+6)+3(2m+6)
D
12(2m+3)+6(2m+3)
The equivalent expression will be;
⇒ 12 (2m + 3) + 6 (2m + 3)
Option D is true.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression is,
⇒ (24m + 36) + (12m + 18)
Now,
Since, The expression is,
⇒ (24m + 36) + (12m + 18)
it can be written as;
⇒ (24m + 36) + (12m + 18) = 12 (2m + 3) + 6 (2m + 3)
Thus, The equivalent expression after solving,
⇒ 12 (2m + 3) + 6 (2m + 3)
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If a watch costs $40 and you must pay 6.5 % sales tax, how much will the tax be?
Please give me the correct answer this is for a test and im on a time limit :(
Answer:
$2.60
Step-by-step explanation:
40 x 0.065 = $2.60
Answer:
the tax would be 2.60$
Step-by-step explanation:
6.5% of 40 is 2.6
(6.5 x .40=2.6)
On a standardized exam, the scores are normally distributed with a mean of 300 and a standard deviation of 50. Find the z-score of a person who scored 150 on the exam.
Answer:
z = -3
Step-by-step explanation:
Use the formula for z-score
\(z=\frac{x-\mu}{\sigma}\\\\z=\frac{150-300}{50}\\ \\z=\frac{-150}{50}\\ \\z=-3\)
This tells us that the person's score of 150 puts him/her 3 standard deviations below the mean of 300.
An extrasolar planet is observed at a distance of 4.2 x 10° kilometers away. A group of scientists has designed a spaceship that can travel at the speed of 7 x 108 kilometers per year. How many years will the spaceship take to reach the extrasolar planet?
Speed is the time rate at which an object is moving along a path. Then 0.6×10-8 years will the spaceship take to reach the extrasolar planet.
What is Speed?Speed is the time rate at which an object is moving along a path.
The formula for speed is distance/time
Given that
An extrasolar planet is observed at a distance of 4.2 x 10° kilometers away.
Distance= 4.2 x 10°
A group of scientists has designed a spaceship that can travel at the speed of 7 x 10⁸ kilometers per year
Speed = 7 x 10⁸
Time we need to calculate
Time =Distance/speed
Time = 4.2 x 10°/7 x 10⁸
=0.6×10⁻⁸
Hence 0.6×10-8 years will the spaceship take to reach the extrasolar planet.
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Use the given values of n to generate the 7th and 8th terms of the sequence.
f(n) = 74 + 11(n - 1)
Answer:
f(n) = 74 + 11(n - 1)
For the 7th term
n = 7
f(7) = 74 + 11(7 - 1)
= 74 + 11(6)
= 74 + 66
= 140For the 8th term
n = 8
f(8) = 74 + 11( 8 - 1)
= 74 + 11(7)
= 74 + 77
= 151Hope this helps you
Help please lost on this question
Answer:
First one is 6
Second one is 4
Step-by-step explanation:
Right on egg
State the x and Y intercepts of the equation y=2/3x - 1/3
Answer:
x intercept is (1/2, 0).
y intercept = (0, -1/3)
Step-by-step explanation:
2/3x - 1/3 = 0
2/3x = 1/3
x = 1/3 * 3/2
x = 1/2.
y = 2/3(0) - 1/3 = -1/3.
-1000 2/3 is not real fraction. True or false
True, While "-1000 2/3" is not a real fraction, it can be represented as the improper fraction -2998/3.
The statement "-1000 2/3 is not a real fraction" is true. A real fraction is a mathematical expression that represents a ratio of two real numbers. In a fraction, the numerator and denominator are both real numbers, and they can be positive, negative, or zero.
In the given statement, "-1000 2/3" is not a valid representation of a fraction. The presence of a space between "-1000" and "2/3" suggests that they are separate entities rather than being part of a single fraction.
To represent a mixed number (a whole number combined with a fraction), a space or a plus sign is typically used between the whole number and the fraction. For example, a valid representation of a mixed number would be "-1000 2/3" or "-1000 + 2/3". However, without the proper formatting, "-1000 2/3" is not considered a real fraction.
It's important to note that "-1000 2/3" can still be expressed as an improper fraction. To convert it into an improper fraction, we multiply the whole number (-1000) by the denominator of the fraction (3) and add the numerator (2). The result would be (-1000 * 3 + 2) / 3 = (-3000 + 2) / 3 = -2998/3.
In conclusion, while "-1000 2/3" is not a real fraction, it can be represented as the improper fraction -2998/3.
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What 3-digit number am I if the digit in my tens place is five more than the digit in my ones place and the digit in my tens place is twice the digit in my hundreds place?
Can anyone help please?
The side w of the rectangle is 2.5 cm.
How to find the side of a 2 dimensional figure?The triangle and the rectangle have the same area.
Therefore,
area of a triangle = 1 / 2 bh
where
b = base of the triangleh = height of the triangleb = 5 cm
h = 6 cm
area of a triangle = 1 / 2 × 5 × 6
area of a triangle = 30 / 2
area of a triangle = 15 cm²
Therefore,
area of a rectangle = lw
where
l = lengthw = widthHence,
15 = 6w
w = 15 / 6
w = 5 / 2
w = 2.5 cm
Therefore, the side w is 2.5 cm.
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Could someone help me giving brainliest
Answer:
The first one. Top left.
Step-by-step explanation:
The top right one makes a triangular prism.
I don't even know if the bottom right is even a thing.
The bottom left is a cube.
Answer: Top left.
Step-by-step explanation: The net of a rectangular prism doesn't have any triangles, so that eliminates the two nets that have triangles. The net with only squares is the net of a cube, so that isn't right either. The net above the net of a cube is the correct answer, because it includes rectangles and looks exactly like the net of the rectangular prism.
Let me know if this is right! :)