Answer:
6
Step-by-step explanation:
8⅓% of 72
Change 8⅓% to an improper fraction, to get.
25/3% × 72
= (25/3)÷(100)×72
= (25/3)×(1/100)× 72
= (25/300) × 72
= 1800/300
= 6
The value of [tex]8\frac{1}{3}[/tex]% of 72 is 600.
Given that, [tex]8\frac{1}{3}[/tex]% of 72.
What is percentage?Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
Now, [tex]8\frac{1}{3}[/tex]% of 72
25/3 × 72
= 25 × 24
= 600
Therefore, the value of [tex]8\frac{1}{3}[/tex]% of 72 is 600.
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A bus left Suva at 7.30am and arrived in Tavua at 11.00am. It covered a
distance of 350km. Fin the speed of the bus.
Answer:
100 km/hr
Step-by-step explanation:
11:00 a.m. less 7:30 a.m. works out to 3:30 hours (3 hours 30 minutes).
Then the speed of the bus was
350 km
--------------- = 100 km/hr, or about 62.5 mph
3.5 hrs
Answer:
100 km/hr
Step-by-step explanation:
Givens
T = 11:00 - 7:30
T = 3 hours 30 minutes
T = 3 1/2 hours
t = 3.5 hours
d = 350 km
Formula
d = v * t
Solution
350 km = v * 3.5 Divide by 3.5
350 km / 3.5 hours = v
350 / 3.5 = v
v = 100 km/hour
Reduce 65 in ratio 5:2
Answer: [tex]46.42:18.57[/tex]
Step-by-step explanation:
[tex]5+2 = 765/7 × 5 = 46.4265/7 × 2 = 18.57∴ 65 in the ratio 5:2 = 46.42:18.57x^{2}[/tex]
The solution is 46.42857 : 18.57143
The proportion equation is given by 46.42857 : 18.57143 and
46.42857 + 18.5714365 = 65
What is Proportion?
The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.
The proportional equation is given as y ∝ x
And , y = kx where k is the proportionality constant
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Given data ,
Let the number be represented as N
The value of N = 65
The proportion is 5 : 2
The total value of the ratio = 5 + 2 = 7
So , each value of the proportion is x = 65 / 7
On simplifying the equation , we get
Each value of the proportion is x = 9.2857142857
Now , the proportion equation is given by
The value of 5x = 5 ( 9.2857142857 )
The value of 5x = 46.42857
The value of 2x = 2 ( 9.2857142857 )
The value of 2x = 18.57143
And , 46.42857 + 18.5714365 = 65
Hence , the proportion is 46.42857 : 18.57143 or 5 : 2
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calcular el perímetro de una cancha cuyos lados mide 15×20
Answer: el perímetro es 300
Step-by-step explanation:
Find the area in square inches of the figure shown.
Answer:
8 * 17 = 136
39 * 36 = 1404
1482 + 136 = 1540
Step-by-step explanation:
The area of the figure is 330 inches²
What is a Triangle?
A triangle is a plane figure or polygon with three sides and three angles.
A Triangle has three vertices and the sum of the interior angles add up to 180°
Let the Triangle be ΔABC , such that
∠A + ∠B + ∠C = 180°
The area of the triangle = ( 1/2 ) x Length x Base
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
Given data ,
Let the figure be composed of two different right angled triangles
Now , Let the first triangle be ΔABC
Let the second triangle be ΔBCD
Length of first triangle = 36 inches
Base of second triangle = 8 inches
Since the base of the first triangle is equal to the length of the second triangle ,
From the Pythagoras Theorem , The hypotenuse² = base² + height²
On simplifying the equation , we get
base² = hypotenuse² - height²
BC² = 17² - 8²
BC² = 289 - 64
BC² = 225
Taking square roots on both sides , we get
BC = 15 inches
Therefore , the base of the first triangle and the length of the second triangle is 15 inches
Now , to find the area
Total area of figure = Area of first Triangle + Area of second triangle
The area of the triangle = ( 1/2 ) x Length x Base
Total area of figure = ( 1/2 ) x ( 36 x 15 ) + ( 1/2 ) x ( 15 x 8 )
= ( 1/2 ) x 540 + ( 1/2 ) x 120
= 270 + 60
= 330 inches²
Therefore , the value is 330 inches²
Hence , The area of the figure is 330 inches²
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Find the area. Simplify your answer.
Answer:
Area = 6x - 6
Step-by-step explanation:
Given:
Height = 2x - 2
Base = 6
Required:
Area
Solution:
Area of triangle = ½*b*h
Area of the triangle = ½*6*(2x - 2)
Area = 3(2x - 2)
Apply distributive property
Area = 6x - 6
PLZ HELP WILL MARK BRAINLEST
A cylinder has a height of 8 feet and a volume of 628 cubic feet. Find the radius of the cylinder. Use 3.14 for π. Show your work. equation v= 3.14 ( ) ( ) ( )
Answer:
5ft
Step-by-step explanation:
r = √v/πh
plug in known values
r= √628/ (3.14) 8
simplify
r= √628/ 25.12
r= √25
r = 5ft
Gloria draws these figures and lines of symmetry
Which figure shows an incorrect line of symmetry?
A. Figure A
B. Figure B
C. Figure C
D. Figure D
look in the photo + no links!!
Answer:
figure c
Step-by-step explanation:
there is an uneven line at the top with the half circle
George boughr 30 packs of football cards there were 14 cards in each pack how many cards did George buy?
Answer:
420
Step-by-step explanation:
funny real funny
What is the area???
Answer:
0.833333333 or 83/100 mi squared
Step-by-step explanation:
a = b x h / 2
Answer:
0.333
Step-by-step explanation:
PLEASE I NEED HELP FAST ITS THE LAST QUESTION AND I DONT KNOW HOW TO SOLVE IT
A storage unit in the shape of a rectangular prism is 9 feet tall and 4 1/4 feet wide. the length of the storage until is twice the width. which measurement is closest to the volume of the storage until in cubic feet?
Answer:
9 x 4 1/4 x 8 1/2 = 325 1/8 cubic feet.
4 1/4 x 2 = 8 1/2
What type of triangle is shown in the figure?
A
Equilateral
À
-y + 23
Obtuse
Right
B
C
Scalene
бу +2
Answer:
A equilateral
Step-by-step explanation:
hey, its equilateral because all sides of the triangle are the same length
The function f(x) is a quartic function and the zeros of f(x) are -4,-3,2 and 5. Assume the leading coefficient of f(x) is 1. Write the equation of the quartic polynomial in standard form
The equation of the quartic polynomial in standard form is,
⇒ f (x) = x⁴ - 27x² - 14x + 120
What is Quadratic equation?An algebraic equation with the second degree of the variable is called an Quadratic equation.
We have to given that;'
The function f(x) is a quartic function and the zeros of f(x) are -4,-3,2 and 5.
And, the leading coefficient of f(x) is 1.
Hence, We get;
The equation of the quartic polynomial in standard form is,
⇒ f (x) = 1 (x - (- 4)) (x - (- 3)) (x - 2) (x - 5)
⇒ f (x) = (x + 4) (x + 3) (x - 2) (x - 5)
⇒ f (x) = (x² + 7x + 12) (x² - 7x + 10)
⇒ f (x) = x⁴ - 7x³ + 10x² + 7x³ - 49x² + 70x + 12x² - 84x + 120
⇒ f (x) = x⁴ - 27x² - 14x + 120
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Exercise 4
3
2.5% = 50
2 * = 0,125
Solve the following equations:
1 3* = 81
2
5Y - 15 = 0
5
5x + 1 = 1
16* = 8
9.
1
9
4
8.
101 - x = 0,01
2(5)* = 54
(3)
5Y - 0,2 = 0
12
7 (-3)* = 1
11
5-2 = 25
10
107
Unit 3: Calculations with exponents
Answer:
Is there some sort of sheet or pdf you can include on the question?
Step-by-step explanation:
comparing box plots
i will give brainliest
Answer:
what graded are you in
Step-by-step explanation:
this as well, pleasee!!!
The inner circle circumference is 18 and the outer is 4
Answer:
the big one has a circumstance of 2*pi*9=56.52
the small one 2*pi*7=43.96
difference = 12.56= 4pi
between which two numbers would you place √40 on a number line
Answer:
between 6 and 7
Step-by-step explanation:
The square root of 40 is about 6.32, so this number belongs between 6 and 7 on a number line.
Help! I NEED THIS DONE BY 8:50
Answer:
x = 28
Step-by-step explanation:
Properties of a triangle:
Triangles have 3 sidesThe sum of a triangle's interior angles will always be equal to 180°.Because we need the value of the triangle's interior angle, use the following formula to solve for x:
180 - x - y = zSince x and y are given, solve for z.180 - 129 - 23 = z28 = zz is the missing value, so for your problem, z is x.x = 28Find the degree of this polynomial. –s5 − 4s3 + 4s2 + 5s
Answer:
Can you picture the question?
int) A group of 10 hunters wait for ducks to fly by. When a flock of ducks flies overhead, the hunters all fire at the same time, each selecting a target at random and independently of the others. If each hunter independently hits his target with probability 0.4, and if all misses do not hit other ducks, what is the expected number of ducks that will be hit
Answer:
The expected number of ducks that will be hit is 4.
Step-by-step explanation:
For each hunter, there are only two possible outcomes. Either they hit a duck, or they do not. The probability of a hunter hitting a ducks is independent of any other hunter. This means that we use the binomial probability distribution to solve this question.
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
The expected value of the binomial distribution is:
[tex]E(X) = np[/tex]
A group of 10 hunters wait for ducks to fly by.
This means that [tex]n = 10[/tex]
Each hunter independently hits his target with probability 0.4
This means that [tex]p = 0.4[/tex]
What is the expected number of ducks that will be hit?
[tex]E(X) = np = 10*0.4 = 4[/tex]
The expected number of ducks that will be hit is 4.
This lesson asked you to investigate what it means for data to fall within 1, 2, and 3 standard deviations from the mean in a variety of normal distribution curves. Imagine that you hold a position on your city council and are in charge of creating new programs to benefit members of your community. In some cases, you must also decide which parts of the population are eligible for enrollment in a given program. How might the concept of standard deviations from the mean be interpreted in your decisions? For example, is it fair to make most programs only available to populations within 1 standard deviation from the mean? Can you imagine cases where you might want to create new programs for people who fall toward the extreme ends of the distribution? Give your opinion as well as some examples.
Answer:
The data in statistics is generally supposed to deviate or vary from the mean. Standard deviations of 1, 2, and 3 are commonly used to calculate variability according to the empirical norm. In a normal distribution, we estimate 68 percent, 95 percent, and 98 percent of the data to be within 1, 2, and 3 standard deviations of the mean, respectively. This implies that the given percentage of data will lie within an interval of less than or greater than the standard deviation. If the values within a given standard deviation from the mean are standardized, the z value will always be equal to or less than the given standard deviation.
We should look at a program that aims to help people get out of poverty by using the standard deviation principle. The aim of the program is to provide free seeds to poor people who have been suffering from low yields due to the use of local seeds. If we use the definition of one standard deviation of the mean, or 2 and 3, we will favor the majority of people, but we will leave the poorest people in society behind.
Farrah works in a jewelry store and receives 12% commission when she makes a sale. How much commission will she receive for selling a $7,475 ring?
Answer:
$897
Step-by-step explanation:
12/100x7475/1=897
Ms. McClain conducted an experiment
with a 6-sided number cube. The table
shows the number of times each number
landed:
(I'll give brainlist)
Answer: 1
Step-by-step explanation:
Experimental probability is the actual result you get from an experement.
Theoretical probability is the change that you will get that result.
(for example: flipping a coin, the Theoretical probability is 50/50 but after testing the Experimental probability might be 47/53)
therefore,
1/6 is the Theoretical probability because you are using a six-sided number cube.
for the Theoretical probability and the Experimental probability to be the same, the fraction of the roll must equal 1/6.
1/6 equals 8/48.
therefore, since the numbers 1 and 6 were both rolled 8 times out of 48 they are consistant with the Theoretical probability of 1/6.
6 is not one of the answer choices listed so 1 must be your answer.
Mark the relations that ARE functions
{(2,5) (-3, 4) (0,1)}
{(1,1) (2,1) (0, 1) (-8, 1)}
{(3, -2) (9, 1) (3, 5) (9, 3)}
{( 2,5) (0, 3) (-1, 1) (7, 13)}
Answer:
first
second
fourth
Step-by-step explanation:
one domain must only one range
Find the product of (x − 3)2.
Answer:2x-6
Step-by-step explanation:
simplify the expression
2x-6
Answer:
2x - 6
Step-by-step explanation:
(x − 3)2
2 · x = 2x
2 · (-3) = -6
Combined:
2x - 6
Which of the following statements is (are) correct?
I. At 6% interest, the present value of $400 for the first year, $600 for the second year, and $800 for the third year is $1,603.
II. The future value of the following mixed cash flow stream (if it is from an annuity due at 6% interest) $400 for the first year, $600 for the second year, and $800 for the third year is $1,999 (rounded).
Answer:
None OF THE STATEMENTS ARE CORRECT
Step-by-step explanation:
Present value is the sum of discounted cash flows
Present value can be calculated using a financial calculator
Cash flow in year 1 = $400
Cash flow in year 2 = $600
Cash flow in year 3 = $800
I = 6%
PV = 1,583.05
The formula for calculating future value:
FV = P (1 + r)^n
FV = Future value
P = Present value
R = interest rate
N = number of years
1583.05 x (1.06)^3 = $1885.44
None of the statements are correct based on the above calculations
To find the PV using a financial calculator:
1. Input the cash flow values by pressing the CF button. After inputting the value, press enter and the arrow facing a downward direction.
2. after inputting all the cash flows, press the NPV button, input the value for I, press enter and the arrow facing a downward direction.
3. Press compute
do yallll thingggggggg :)
Answer:
B.
Step-by-step explanation:
A family buys 4 airline tickets online. The family buys travel insurance that costs $16 per ticket. The
total cost is $680. Let x represent the price of one ticket. Write an equation for the total cost. Then find
the price of one ticket.
Which equation represents this situation?
O A. 680 = 4(x + 16)
OB. 680 = 4x + 16
OC. 16 = 4x + 680
OD. 680 = 16(x + 4)
The price of one ticket is $1.
!NEEDED ASAP!
Answer:
B
x is representing the price of one ticket in which the tickets bought was four.so therefore (x+x+x+x+16)=680
4x + 16 =680
A trap for insects is in the shape of a triangular prism. The area of the base is 45 in and the height of the
prism is 7 in. What is the volume of this trap?
Help ASAP
Answer:
The volume is 315
______________
Michelle has a bank account balance of $184. She deposits $38 and then spends $45 when she goes shopping. How is the amount of money Michelle spent shopping represented?
A. -45
B. -38
C. 38
D. 45
Answer:
A. -45
Step-by-step explanation:
We know that Michelle has a bank account of one hundred eighty four dollars, she then deposits thirty eight into her account, then goes shopping. Spending forty-five dollars. We are then asked the amount of money she spent being represented.
Our keyword is "spent" and "fourty-five". Why? Because these determine how much money is being taken away or added.
Since we know that spending money is decreasing the amount you have, then we would need a negative sign, and since we also know the amount she spended on is forty-five, that leads us to our answer being A. -45
Answer:
-45
Step-by-step explanation:
She uses $45 when she goes shopping so she is reducing her bank balance.
- 63 y^5
27y^7
- 18y^9
Take out the common factor
Answer:
[tex]Factor = 9y^5[/tex]
Step-by-step explanation:
Given
- 63 y^5 , 27y^7 and 18y^9
Required
Remove the common factor
Factorize each expression:
[tex]- 63 y^5 = -3*3*7*y*y*y*y*y[/tex]
[tex]27y^7 = 3 * 3 * y * y * y * y * y * y * y[/tex]
[tex]-18y^9 =-2 * 3 * 3 * y * y * y * y * y * y * y * y * y[/tex]
The common factor in the above expression is:
[tex]Factor = 3 * 3 * y*y*y*y*y[/tex]
[tex]Factor = 9y^5[/tex]