Answer: 57. 1
Step-by-step explanation:
Divide 115 by 2
is 7/3 rational or irrational
Answer:
rational, yes 7/3 is rational
Answer:
Yes 7/3 is a rational number.
Rational numbers include fractions .
Irrational numbers include decimal but not fractions.
What do squares and rhombuses have in common?
Answer:
They all have 4 sides?
Step-by-step explanation:
Its more of a uhhh.....visual thing
Answer:
They both have four vertices
Step-by-step explanation:
emilythompson35464
hope this helps srry if it doesn't tho
30% of a number is 27. What is 50% of that same answer?
Answer:
90, 45
Step-by-step explanation:
0.3x = 27
x = 90
50% of 90 = 45
The angle measurements in the diagram are represented by the following expressions.
B
А
Solve for x and then find the measure of
Answer:
\(x = 20^{\circ}\)
\(\angle A = 150^{\circ}\)
Step-by-step explanation:
Given
\(\angle A = 8x - 10\)
\(\angle B = 3x + 90\)
See attachment
From the attachment A and B are vertically opposite.
This implies that:
\(\angle A = \angle B\)
Substitute values for A and B
\(8x - 10 = 3x + 90\)
Collect Like Terms
\(8x - 3x = 10 + 90\)
\(5x = 100\)
Solve for x
\(x = \frac{100}{5}\)
\(x = 20^{\circ}\)
Substitute 20 for x in \(\angle A = 8x - 10\)
\(\angle A = 8 * 20 - 10\)
\(\angle A = 150^{\circ}\)
A local dry-cleaning company bought new equipment and its estimated useful life is 4 years. Using the straight-line depreciation method, what is the rate of depreciation each year?
Answer:
$2,500 or 25%
Step-by-step explanation:
Let's use the same example:
Cost of Equipment = $10,000
Useful Life = 4 years
Depreciation Rate = (Annual Depreciation / Cost of Equipment) * 100
Annual Depreciation = Cost of Equipment / Useful Life
Annual Depreciation = $10,000 / 4 years
Annual Depreciation = $2,500
Depreciation Rate = ($2,500 / $10,000) * 100
Depreciation Rate = 0.25 * 100
Depreciation Rate = 25%
bill and Andy were racing to see who could run the farthest in 5 minutes bill ran 5/8 of a mile and Andy ran 3/4 of a mile how much farther did andy run than bil
What happens to a consistent slope when the y value starts to decrease and the x value remains the same over time?
A. Y decreases and X decreases
B. Y decreases and X increases
C. Y increases and X increases
D. Y increases and X decreases
When the y-value starts to decrease and the x-value remains constant over time, Y decreases and X increases to a consistent slope.
A consistent slope represents a constant rate of change between two variables, typically represented by the ratio of the change in y to the change in x.
When the y-value starts to decrease and the x-value remains the same over time, the consistent slope represents a negative correlation between y and x.
This means that as the value of y decreases, the value of x remains the same or may increase, depending on the context of the problem.
Therefore, the answer is option B: Y decreases and X increases.
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Which is the decimal equivalent of 2/3
Answer:0.66666666666667
Step-by-step explanation:
what are you guys studying?
Answer:
im study about history it was my favourite subject!
4.
What would be the purchase price for a $5,000, 91-day T-bill paying 3%
interest?
a. $4,925.00
b. $4,962.50
C. $5,000.00
d. $5,037.50
Answer:
B
Step-by-step explanation:
A = P(1+i/n)^t
5000 = P(1+0.03/(361.3/91)^1 361.3 ??? it worked
P = 5000/1.007556048
P = $4962.50309
the 91 day T-bill confused by financial calculator which got $4962.78 for a quarterly compound interest rate
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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The radius of a circle is tripled.
How does the circumference change? Please answer quick
Answer:
A. It is tripled.
Step-by-step explanation:
Order the numbers from least to greatest:
square root of 81, square root of 72, 9.2, 8.6
Type the correct order of each item (eg. 1, 2, 3, etc):
8.6
9.2
square root of 81
square root of 72
Simplify all the given.
√81 = 9
√72 ≈ 8.5
9.2 = 9.2
8.6 = 8.6
From here, you can just sort it out.
From least to greatest:
1) √72
2) 8.6
3) √81
4) 9.2
you mix 1/2 quart of blue paint for every 1/3 quart of red paint to make 5 quart of purple paint. How much blue paint and how much red paint do you use?
The amount of blue paint and red paint that you use will be 3 quarts and 2 quarts, respectively.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
You mix 1/2 quart of blue paint for every 1/3 quart of red paint to make 5 quarts of purple paint.
Let 'x' be the amount of blue paint and 'y' be the amount of red paint. Then the equations are given as,
x / y = (1/2) / (1/3)
x / y = 3/2 ...1
x + y = 5 ...2
From equations 1 and 2, then we have
(3/2) y + y = 5
(5/2) y = 5
y = 2 quart
Then the value of 'x' is given as
x + 2 = 5
x = 3 quart
The amount of blue paint and red paint that you use will be 3 quarts and 2 quarts, respectively.
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There are 8 ounces in a cup, 2 cups in a pint, 2 pints in a quart, and 4 quarts in a gallon.
1 L ≈ 0.26 gallons
6 kL ≈ fl oz
6 kiloliters are approximately equal to 202,884.14 fluid ounces.
We have,
To convert 6 kiloliters (kL) to fluid ounces (fl oz), we need to use the conversion factor between these two units.
The conversion factor states that 1 kiloliter is equal to 33814.0227 fluid ounces.
This means that for every kiloliter, there are 33814.0227 fluid ounces.
To convert 6 kiloliters to fluid ounces, we multiply the given value (6 kL) by the conversion factor (33814.0227 fl oz/kL).
= 6 kL x 33814.0227 fl oz/kL
= 202884.1362 fl oz
Therefore,
6 kiloliters are approximately equal to 202,884.14 fluid ounces.
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Half a bottle of lemonade is shared between 3 friends . What fraction will each child get ?
Answer:
1/3
Step-by-step explanation:
i hope this helped !!!!!!!!!
1/6 fraction of bottle of lemonade will each friend gets.
What is Fraction?A fraction represents a part of a whole.
Given,
Half a bottle of lemonade is shared between 3 friends .
Half means 1/2.
One divided by two is half.
This half is shared between three friends.
So we need to divide half by three of friends.
1/2/(3/1)
When a fraction is divided by another fraction, the denominator is multiplied as reciprocal to numerator.
1/2×1/3
1/6
Hence, 1/6 fraction of bottle of lemonade will each friend gets.
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This table represents a proportional relationship between x and y
х
0.2
0.4
0.6
0.8
у
0.25
0.5
0.75
1.0
What is the constant of proportionality?
Enter your answer as a decimal in the box.
Answer:
The answer is 1.25 ʕ•ᴥ•ʔ
Step-by-step explanation:
How you can get this answer is shockingly simple. The first step is to divide "y" by "x" and then get your answer. In this case, the answer is 1.25!
I hope this helps!
Answer:1.25
Step-by-step explanation:
i took the k12 test and got a 100!!
1. A honeybee leaves the hive and travels 2 KM before returning. What distance did the
honeybee travel and what was the honeybee's displacement
Total distance travelled by the honey bee is 4km and honeybee’s displacement is 0
Displacement is defined as the shortest distance travelled by the object.
According to the question we have been given that the honeybee travelled 2km before returning to the hive.
Thus the total distance travelled by the honeybee is = 2 + 2 km
= 4 km
And the honeybee’s displacement = 0
Because the bee has returned to the same from where she had left and displacement is a vector quantity that has magnitude and direction and depends upon the initial and final position. So as the initial and final destination is same for the honeybee. Thus the displacement will be zero.
Hence total distance = 4km
And displacement = 0
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The ratio of men to women at a meeting is 7:6.If there are 28 men at the meeting;
a. How many women are at the meeting?
b. How many men and women are at the meeting?
Answer:
a. 24 woman
b. 28 men and 24 women
Step-by-step explanation:
a.
given: men to women = 7:6
find: number of women
solution: 28 / 7 = 4, 4 * 6 = 24 women
b.
given: number of men
find: number of men and women
solution: 28 men and 24 women
hope this helps....
Answer:
A) 24 women
B) 52 men and women are at the meeting
Step-by-step explanation:
A)
Let y = women at the meeting
7:6 = 28:y
7/6 = 28/y
6×38 = 7y
6×28⁴/7¹ = 7y¹/7¹
y= 6×24
y=24
B)
Number of women at the meeting = 24
Number of men at the meeting = 28
Total number of people at the meeting = 24+28
= 52
f(x)=-2x^2+x-5 find f(-6)
f(x) = 2x² + x - 5
f(-6) = 2(-6)² + (-6) -5
=> f(-6) = 2(36) -11
=> f(-6) = 72 - 11
=> f(-6) = 61
5. If the cost of a chair is Rs. 1400 and the cost of 4 tables and 5 chairs is RS. 16000, find the cost of a table.
Answer:
t = 2,250
Step-by-step explanation:
If the cost of a chair is Rs. 1400 and the cost of 4 tables and 5 chairs is RS. 16000, find the cost of a table.
4t + 5c = 16,000 when c = 1,400
4t + 5(1,400) = 16,000
4t + 7,000 = 16,000
subtract 7,000 from both sides:
4t + 7,000 - 7,000 = 16,000 - 7,000
4t = 9,000
divide both sides by 4:
4t/4 = 9,000/4
t = 2,250
By observing that f(x) = 1/(1 - 2x) is the sum of a geometric series (of the form a/(1 - r)), find the power series expansion of this function. Observation of Series: We'll observe the value of the first term or numerator aa and the common ratio r (it is the quotient of the second term to the first term) in the denominator of the rational function a1−ra1−r, plug these values in the formula of expansion. a1−r=a+ar+ar2+ar3+…a1−r=a+ar+ar2+ar3+… Where |r||r| is less than one.
The power series of the given function is 1 + (2x) + (2x)² + (2x)³+ --------------------- + (2x)ⁿ
We know very well that sum of n terms who are in geometric progression their sum of expression is given by a/1-r where a is first term and r is common ratio between the terms.
Now, we have function f(x)=[1 / (1-2x)]
On comparing with a/1-r with f(x),we get
=>a=1 and r=2x
Now, we know that first term of geometric progression is given by =1
second term of geometric progression is given by=a × r= 1 ×2x
third term of geometric progression is given by =a×r² =1×(2x)²
fourth term of geometric progression is given by=a×r³ =1 × (2x)³
nth term of geometric progression is given by =a×(r)ⁿ = 1 × (2x)ⁿ
Therefore, according to the given formula progression series of given function is=a+ ar +ar² + ar³ + -----------arⁿ
=>progression series = 1+ 2x + (2x)² + (2x)³ + --------- + (2x)ⁿ.
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Select the correct answer. How many solutions for x does the following equation have? A. 4 B. 0 C. infinite D. 1
The equation 2 (p+ 7) = 4 - 8p has only one solution that is; -9.
We know that solution of an equation refers usually to the values of the variables involved in that equation that if substituted in place of that variable would give a true mathematical statement.
We need to determine the solutions does the equation 2 (p+ 7) = 4 - 8p have;
Now solving for p,
2 (p+ 7) = 4 - 8
Open the bracket,
2p+ 14 = 4 - 8
Combine the like terms,
2p = -4 - 14
2p = -18
p = -18/2 = -9
Therefore, the equation has only one solution which is -9.
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HELP WILL GIVE BRAINLYEST!!!!!!! 30 POONTS Which of the following is the fourth vertex needed to create a rectangle with vertices located at (−4, −25), (−4, −12), and (−7, −12)?
(−12, 7)
(−7, −25)
(−7, 12)
(−25, 7)
Answer: I believe the answer is (-7, 12)
Step-by-step explanation:
Answer:
-7,12
Step-by-step explanation:
Calculate the height of the Zeta Tower as a percentage of the height of the Delta tower
The height of the Zeta Tower as a percentage of the height of the Delta tower is the 94.72%
How to find the the height of the Zeta Tower as a percentage of the height of the Delta tower?Here we know that:
height of the Delta tower = 55mThe epsilon tower is 23% taller than the delta one, then the height is:
H = 55m*(1 + 0.23) = 67.65 m
And we know that the Zeta tower is 23 short than the epsilon one, then the height of this twoer is.
H' = 67.65m*(1 - 0.23) = 52.0905 m
The height of the delta tower is 55m, this is our 100%.
Then the height of the zeta tower written as a percentage will be:
(52.0905 m/55m)*100% = 94.72%
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Find the slope of the line passing through the points (-4, 7) and (-2, 2)
Answer:
-5/2
Step-by-step explanation: 2 - 7 = -5 so that is your numerator and -2+ 4=2 is your denomonitaor.
A pack of cards is shuffled and a card is chosen at random.
What is the probability of getting a black card?
Answer:
\(\dfrac{1}{2}\)
Step-by-step explanation:
Probability:Number of cards = 52
Number of black cards = 13 (club) + 13 (spade)
= 26
\(\sf P(\text{getting a black card})=\dfrac{26}{52}\)
\(\sf =\dfrac{1}{2}\)
Determine the volume of the rectangular prism with a base area of
30.38 square yards and a height of 3.8 yards.
Answer:
\( V = 30.38 yd^2 * 3.8 yd = 115.44 yd^3\)
Step-by-step explanation:
For this case we know that the base area is \(A = 30.38 yd^2\)
And the height is \( h = 3.8 ft\)
The volume for a rectangular prism is given by:
\( V = A h\)
And replacing the info we got:
\( V = 30.38 yd^2 * 3.8 yd = 115.44 yd^3\)
Answer:
Volume = 115.44 cubed yard
Step-by-step explanation:
Given that ;
base area = 30.38 square yards
height = 3.8 yards.
The volume for a rectangular prism is length * width * height
Area = length * width
we are given area = 30.38 square yards
Volume = Area * height
Volume = 30.38 square yards * 3.8 yards.
Volume = 115.44 cubed yard
Therefore, the answer is = 115.44 cubed yard
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What is the length of LJ?
A) 23.0
B) 17.0
C) 4.7
D) 3.5
The the length of LJ is approximately 3.5.OptionD) is correct.
How to find the length of LJ?To find the length of LJ, we can use the Law of Sines, which states that the ratio of the length of a side of a triangle to the sine of the angle opposite that side is the same for all sides of the triangle.
Let's denote the length of JL as x. Then, we can set up the following proportion:
sin(23°) / LJ = sin(89°) / KL
where KL is given as 9.
We can simplify this proportion by using the fact that sin(89°) = cos(1°) (since the sine of the complement of an angle is equal to the cosine of the angle), and by using a calculator to find the values of sin(23°) and cos(1°):
0.3919 / LJ = 0.0175 / 9
Multiplying both sides by x and then dividing both sides by 0.0175, we get:
LJ = 0.3919*9/ 0.0175
x ≈ 3.5
Therefore, the length of LJ is approximately 3.5.OptionD) is correct.
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A spinner with repeated colors numbered from 1 to 8 is shown. Sections 1 and 8 are purple. Sections 2 and 3 are yellow. Sections 4, 5, and 6 are blue. Section 7 is orange.
Which statement about probability is true?
The probability of landing on orange is greater than the probability of landing on purple.
The probability of landing on yellow is less than the probability of landing on blue.
The probability of landing on orange is equal to the probability of landing on yellow.
The probability of landing on purple is equal to the probability of landing on blue.
The statement about probability that is correct would be that the probability of landing on yellow is less than the probability of landing on blue. That is option B.
What is probability?Probability is defined as the total number of possible outcome of an event.
The repeated colour which are numbered from 1 to 8 are as follows:
Sections 1 and 8 are purple. The probability of getting a purple = 2/8 = 1/4Sections 2 and 3 are yellow. The probability of getting a yellow = 2/8 = 1/4 Sections 4, 5, and 6 are blue. The probability of getting a blue = 3/8Section 7 is orange. The probability of getting a orange = 1/8.Therefore, the probability of landing on yellow is less than the probability of landing on blue because 1/4 is less than 3/8.
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Answer: B: The probability of landing on yellow is less than the probability of landing on blue.
Step-by-step explanation: