Steps to solve:
d = abc for a
~Divide both sides by "bc"
d/bc = abc/bc
~Simplify
d/bc = a
Best of Luck!
A polling company reported that 33% of 2302 surveyed adults said that they play basketball. Complete parts (a) through (d) below.a. What is the exact value that is 33% of 2302?b. Could the result from part a be the actual number of adults who said that they play football? why or why not?c. What could be the actual number of adults who said that they play football?d. Among the 2302 respondents, 272 said that they only play hockey. what percentage of respondents said that they only play hockey?
Answer:
(a) The exact value that is 33% of 2302 is 759.66.
(b) No, the result from part (a) could not be the actual number of adults who said that they play basketball.
(c) The actual number of adults who said that they play basketball is 760.
(d) 11.82% of respondents said that they only play hockey.
Step-by-step explanation:
We are given that a polling company reported that 33% of 2302 surveyed adults said that they play basketball.
(a) The exact value that is 33% of 2302 is given by;
[tex]33\% \text{ of } 2302[/tex] = [tex]\frac{33}{100}\times 2302[/tex]
= 759.66
(b) No, the result from part (a) could not be the actual number of adults who said that they play basketball because the value in part (a) is in fractions or in decimals and the number of people can't be in fractions. It must be a whole number.
(c) The actual number of adults who said that they play basketball is 760. {As 759.66 rounded to one decimal point}
(d) It is given that among the 2302 respondents, 272 said that they only play hockey.
Percentage of respondents who said that they only play hockey is given by;
= [tex]\frac{272}{2302}\times 100[/tex] = 11.82% ≈ 12%
a) The exact value of [tex]33[/tex]% of [tex]2302[/tex] is,
[tex]=\frac{33}{100}\times 2302[/tex]
[tex]=759.66[/tex]
b) [tex]759.66[/tex] is not the actual number of adults who said that they play football as the actual number should be a whole number and not a rational number with decimal values.
c) The actual number could be a rounded one i.e. [tex]760[/tex].
d) Let [tex]272[/tex] be [tex]x[/tex]% of [tex]2302[/tex].
[tex]\Rightarrow \frac{x}{100}\times 2302=272\\\Rightarrow x=\frac{272\times 100}{2302} \\\Rightarrow x=11.8158 \ or \ 11.82[/tex]%
Therefore, [tex]11.82[/tex]% of respondents said that they only play hockey.
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g=4a - 4, for a
how do u solve that.
Answer: g -4/a
Step-by-step explanation:
Lou drives at 65 mi/h. Write an expression for the number of miles that Lou drives t hours.
Answer:
The expression for the number of miles that Lou drives t hours is t*65
Step-by-step explanation:
Two quantities are directly proportional when, when one of them is multiplied or divided by a number, the other is multiplied or divided respectively by the same number. That is, the relationship between the magnitudes is direct when one magnitude increases and so does the other (or when one magnitude decreases, so does the other).
The direct rule of three is used when the problem deals with two directly proportional quantities and is used to solve proportionality problems between three known values and one unknown, establishing a proportional relationship between all of them as follows:
a ⇒ b
c ⇒ x
So [tex]x=\frac{c*b}{a}[/tex]
In this case the rule of three can be applied in the following way: if in 1 hour Lou travels 65 miles, in t hours how much distance does he travel?
[tex]distance=\frac{t*65 mi}{1 h}[/tex]
distance=t* 65
The expression for the number of miles that Lou drives t hours is t*65
evaluate the expression when y=3
y²-7y-4
Answer:
-16
Step-by-step explanation:
3^2-7(3)-4
PLS HELP The lines below are parallel. If the slope of the green line is -3/4, what is the slope of the red line?
Answer:
-3/4
Step-by-step explanation:
Surely it's the same since they're parallel??
find the difference. 2g/g^2-g-6 - 1/g-3
Answer:
2g - 1
g²-g-6 g-3
2g - 1
(g-3)(g+2) g-3
take lcm
2g- 1(g+2)
(g-3)(g+2)
g-2
g²-g-6
Step-by-step explanation:
Step-by-step explanation:
answer is g-2/ g^2-g-6
mark this as brainliest!
how many million miles are between the earth and sun ?
91 million miles (146 million km)
what are the steps to finding a midpoint with decimals?
How do you define mathematics?
Answer:
The overall group of sciences that study numbers, shapes and their relationships. An example of math is arithmetic, the study of addition, subtraction, multiplication and division.
Find the slope of the line passing through each of the following pairs of points: (7, −3), (8, −7)
Answer:
m=-4
(the slope is negetive 4)
Step-by-step explanation:
Answer:
[tex]-4[/tex]
Step-by-step explanation:
Start with point-slope form:
[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Identify your values.
[tex]x_1=7\\x_2=8\\y_1=-3\\y_2=-7[/tex]
Substitute.
[tex]\frac{-7-(-3)}{8-7}[/tex]
The [tex]-3[/tex] becomes positive as it is being multiplied by a negative.
[tex]\frac{-7+3}{8-7}[/tex]
Combine like terms.
[tex]\frac{-4}{1}[/tex]
Rewrite.
[tex]-4[/tex]
write the converse of the following statement
if it stops raining then I will go to the park
The sum of two consecutive whole numbers is 171, What are the two numbers?
Answer:
85 + 86 = 171
Step-by-step explanation:
Just divide 171 by 2 = 85.5, so it pretty clear the rest is just logic.
(85.5 - 0.5) + (85.5 + 0.5) = 171
Please someone help! It’s not very complicated
Show how u got the answer!
Answer:
1891
Step-by-step explanation:
night 1: 4000 seats- 2950 seats= 1050 empty.
night 2: 4000 seats- 3159 seats= 841 empty.
1050+841= 1891 empty seats for the two nights.
Hope this helps! ;)
Answer:
total seats for two night= 4000*2=8000
seat occupied= 3159+2950= 6109
Total empty seat= 8000-6109=1891
Step-by-step explanation:
Adam borrowed money to buy a new car. The bank now has a lien on the car. What could happen if Adam doesn't make his payments on time?
A.
The bank could sell the car.
B.
The bank could lend him more money.
C.
The bank could exchange his new car for an old one.
Answer:
A. The bank could sell the car
Step-by-step explanation:
Answer:
A. the bank could sell the car
the reason is when he falls behind on payments the bank will take the car and sell it to get their money back i think
To calculate simple interest, the amount of interest, I, can be found using this formula, where P is the principal, r is the interest rate, and t is time: I=Prt Which formula can be used to determine the interest rate when the other variables are known? a.) r=IPt b.)r=I/Pt c.)r=IP/t d.) r=Pt/I
Answer:
b
Step-by-step explanation:
I = Prt Solve the equation for r
I = Prt Divide both sides by Pt to get r on one side of the equation by itself
Pt Pt Cancel the P and t on right side as P/P and t/t = 1
This leaves: I = r or r = I
Pt Pt
The interest rate formula with other known variables is R=I/PT. Therefore, the correct answer is option B.
The given simple interest formula is I=PRT.
Where, P is the principal, r is the interest rate, and t is time.
Simple interest is a method to calculate the amount of interest charged on a sum at a given rate and for a given period of time.
To calculate the interest rate:
By rearranging the formula I=PRT, we get
R=I/PT
Therefore, the correct answer is option B.
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y=x-12 y=13 solve for x
Answer:
Step-by-step explanation:
x - 12 = 13
x = 25
y = 12
Answer:
x=25
Step-by-step explanation:
y=x-12....eq1
y=13.... eq2
Substituting eq2 in 1:-
13=x-12
x=12+13=25
For the function f(x) = 16x^3 - x, make a table of slopes of secant lines and make a conjecture about the slope of the tangent line at x = 1. Complete the table. (Round the final answer to three decimal places as needed. Round all intermediate values to four decimal places as needed.) An accurate conjecture for the slope of the tangent line at x = 1 is (Round to the nearest integer as needed.)
Complete Question
The complete question is shown on the first uploaded image
Answer:
Interval Slope of secant lines
[1,2] 113.000
[1, 1.5] 75.000
[1, 1.1 ] 51.960
[1, 1.01] 47.482
[1, 1.001] 47.048
Step-by-step explanation:
From the question we are told that
The function is [tex]f(x) = 16x^3 -x[/tex]
Now considering the intervals
For [1, 2]
The slopes of secant lines is mathematically represented as
[tex]\frac{ f(2) - f(1)}{2-1} = \frac{16(2)^3 - 2 - [16(1)^3 -1] }{2-1 } = 113.000[/tex]
For [1, 1.5]
The slopes of secant lines is mathematically represented as
[tex]\frac{ f(1.5) - f(1)}{1.5-1} = \frac{16(1.5)^3 - 1.5 - [16(1)^3 -1] }{1.5-1 } = 75.000[/tex]
For [1, 1.1]
The slopes of secant lines is mathematically represented as
[tex]\frac{ f(1.1) - f(1)}{1.1-1} = \frac{16(1.1)^3 - 1.1 - [16(1)^3 -1] }{1.1-1 } = 51.960[/tex]
For [1, 1.01]
The slopes of secant lines is mathematically represented as
[tex]\frac{ f(1.01) - f(1)}{1.01-1} = \frac{16(1.01)^3 - 1.01 - [16(1)^3 -1] }{1.01-1 } =47.482[/tex]
For [1, 1.001]
The slopes of secant lines is mathematically represented as
[tex]\frac{ f(1.001) - f(1)}{1.001-1} = \frac{16(1.01)^3 - 1.001 - [16(1)^3 -1] }{1.001-1 } =47.048[/tex]
The table shows a relationship between X^ - values. Which statement describes the pattern created by the values ?
Answer:
is that i-ready
Step-by-step explanation:
the area of a parallelogram is 96cm^2 of the figure is 6 cm. What is the height?
an ice machine makes 1 1/2 pounds of ice every 1/2 hour. witch graph shows this proportional relationship?
Answer:
4th one
Step-by-step explanation:
The graph that represents the situation is required.
The correct option is option 2.
Here the [tex]x[/tex] axis denotes the number of hours and
[tex]y[/tex] axis denotes the pounds of ice.
The given ordered pair is
[tex](\dfrac{1}{2},1\dfrac{1}{2})=(0.5,1.5)[/tex]
At zero hours the ice produced will be zero so, the third and fourth options are incorrect.
The only graph where the line passes through [tex](0.5,1.5)[/tex] is option 2.
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What is the ratio of the circumferences for two circles with areas 6pi m2 and 150pi m2?
1:10
1:5
1:25
1:50
Answer:
c
Step-by-step explanation:
State whether the data described below are discrete or continuous, and explain why.
The number of car accidents on a given stretch of highway each year
Choose the correct answer below.
O A. The data are continuous because the data can take on any value in an interval.
OB. The data are discrete because the data can take on any value in an interval.
C. The data are continuous because the data can only take on specific values.
D. The data are discrete because the data can only take on specific values.
Answer: D. The data are discrete because the data can only take on specific values.
Step-by-step explanation:
Discrete data refers to data that has a specific value in a specific period and so can be counted as opposed to continuous data that cannot be counted as it goes on to infinity. An example of continuous data would be the height of students in a class. This is continuous because a person's height could be 1.02325845...... metres.
The number of car accidents on a particular stretch of highway can be counted and the data can only take on a specific value thereby making it discrete data.
In this exercise we have to use the knowledge of distance to understand which the best alternative corresponds to car accidents, in this way we find that:
Letter D. The data are discrete because the data can only take on specific values.
Discrete information in visible form refers to data that bear a distinguishing value fashionable a distinguishing period accordingly can be check in order as opposite to continuous information in visible form that cannot be deem as it continue to infinity.
An instance of constant data hopeful the height of person actively learning fashionable a class. This is constant cause a person's crest could be 1.02325845 metres.
The number of vehicle driven on streets accidents in contact a particular stretch of heavily traveled maybe have importance and the data can only oppose a particular financial worth by that making it discrete information in visible form.
See more about distance at brainly.com/question/989117
у (x) = 5x - 9 find each value
Pt. 1 The result of adding a complex number to its conjugate is a.- a whole number b.-an integer, c.- a real number, d.- a pure imaginary number Pt. 2 And the result of subtracting a complex number from its conjugate is a.- a whole number, b.-an integer, c.- a pure imaginary number, d.- a real number
Answer:
Step-by-step explanation:
A complex number is a number that has both real and imaginary part. An example of a complex number is z = x+iy where x is the real part and y is the imaginary part.
If z = x+iy, the conjugate of z₁ will be x-iy
adding the complex number to its conjugate will give;
P = z+z₁
P = x+iy +(x-iy)
open the parenthesis
P = x+iy+x-iy
collect like terms
P = x+x+iy-iy
P = 2x
We can see that the resulting value does not contain the imaginary number i, hence the result is a real number.
Hence the result of adding a complex number to its conjugate is a REAL NUMBER
Taking the difference;
P = = z-z₁
P = x+iy -(x-iy)
open the parenthesis
P = x+iy-x+iy
collect like terms
P = x-x+iy+iy
P = 0+2iy
P = 2iy
We can see that the resulting value contains the imaginary number i, hence the of taking their difference is a complex number.
Hence the result of subtracting a complex number from its conjugate is an IMAGINARY NUMBER
Help please, I will give a brainly to whoever has it done first
Answer:
297/40 or 7.425
Step-by-step explanation:
Hope this helped
To find the volume you got to multiply W by H and L
A square-shaped park has an area of 324 yd2. What are the dimensions of the park?
Answer:
18 yards
Step-by-step explanation:
[tex]\sqrt{324}[/tex] = 18
Answer:
the dimensions are 81
Step-by-step explanation:
How many thousands are in 30 hundreds
Answer:
3
Step-by-step explanation:
30 hundreds = 30*100 which = 3000 and 3000/1000 = 3
Answer:
3
Step-by-step explanation:
30x100=3000 is the answer to solving your problem
What is the additive inverse of t ? *
Answer:
-t
Step-by-step explanation:
Additive inverse of t:
t*-1 = -t
a. Write 60,000,000 in words.
Answer:
The answer is sixty million.
a equal t added to 258
write the sentence as an equal
Answer:
A=t+258
Step-by-step explanation: