The difference of 20 and 3 times a number x is represented by 20 - 3x , the correct option is (c) .
In the question ,
it is given that
the number is x ,
we have to find the expression , that represents the difference of 20 and 3 times a number .
three times the number x is denoted by 3x .
and the difference of 20 and three times the number x is 20 - 3x .
the expression is (20 - 3x).
Therefore , The difference of 20 and 3 times a number x is represented by 20 - 3x , the correct option is (c) 20 - 3x .
The given question is incomplete , the complete question is
Which answer choice represents the difference of 20 and 3 times a number x ?
(a) 3x + 20
(b) 20(3x)
(c) 20 – 3x
(d) (20 · 3)x
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Suppose we want to determine how long it takes on average for a typical adult to build four different styles of tables,
which are referred to as A, B, C, and D. To create four treatment groups, the researcher begins by writing the name
of each member of the population on a slip of paper. Next, the researcher puts all slips of paper into a hat and
shuffles them well. Finally, the researcher draws slips of paper from the hat to determine the participants in the
experiment. Identify the component missing from the researcher's process.
The researcher did not assign individuals to treatment groups.
* The researcher did not create the correct number of treatment groups
The researcher did not select the experimental units randomly.
* The researcher did not allow each experimental unit the chance of being chosen
Intro
Final
According to the given statement the correct option is A.
The researcher did not assign individuals to treatment groups.
What Do Researchers Actually Do?Typically, researchers are employed by either university or commercial organizations. To support future research, enlarge the body of academic literature, and enhance decision-making, researchers collect data over the course of a project, evaluate the data, and publish the results.
What aspect of a researcher's job is most crucial?Researchers have an obligation to share their findings, collaborate with others when needed, and transmit and use information for the good of their employer, the economy, and society at large. In the process of their research, researchers have an obligation to conduct themselves honestly and ethically.
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5x + y = 8
2x + y = 5
Answer:
x=1 y=3
Step-by-step explanation:
By looking at the equations, you can use substitution
Set the equation equal to y
y=-5x+8
y=-2x+5
Then put equation together
-5x+8=-2x+5
Move numbers over
3x=3
x=1
Put x back into equation
5+y=8
2+y=5
y=3
The continent of Australia is 8,508,238 sq. km while it's largest island, New
Guinea, is 787,878 sq. km.
How much larger is Australia?
OA) 9,296,116 sq. km
O B)
7,720,360 sq. km
OC) 7,720,260 sq. km
OD) 7,719,360 sq. km
Answer:
B) 7,720,360 sq. km
Step-by-step explanation:
8,508,238 - 787,878 = 7,720,360 sq. km
Hope this helped :)
ASAP HELP
Please
Please
Given polynomial with descending degrees of x would be,
x^4z^4 + x^3 - x^2z + z^3
In this question we have been given a polynomial x^3 + z^3 - x^2z + x^4z^4
We need to write given polynomial by descending degrees of x.
The highest degree of x in above polynomial is 4
x^3 + z^3 - x^2z + x^4z^4
then the second term would be x with degree 3.
x^3 + z^3 - x^2z + x^4z^4
the third term would be x with degree 2
x^3 + z^3 - x^2z + x^4z^4
and the last term is the term x with degree 0:
x^3 + z^3 - x^2z + x^4z^4
Therefore, given polynomial with descending degrees of x would be, x^4z^4 + x^3 - x^2z + z^3
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What line is perpendicular to the line y= -1/2x + 8
Answer: y=2x+8
Step-by-step explanation:
you take the reverse of the slope being 2 including the negative.
FIRST ANSWER GETS FIVE STARS AND BRAINLIEST!
Pine Street, Rector Street, and Taylor Street intersect to form a triangular-shaped park as shown.
(picture below)
What is the correct order of the lengths of the streets from longest to shortest?
Answer:
Rector, Pine, Taylor
Step-by-step explanation:
The opposite side of each angle's lengths depend on how large the angle is. The larger the angle is, the longer the side. Because the angle opposite to Rector is the greatest, then it is the longest. Thus, then follows Pine and Taylor. Hope this helps!
ASAP PLS ANSWER ONLY THE SMARTEST CAN GET IT RIGHT
Red- 5 skittles
Purple- 8 skittles
Yellow- 1 skittle
Orange- 2 skittles
Green- 4 skittles
1. Tomas reaches in a bowl and pulls out a green skittle. Without replacing the green skittle, what is the probability he picks a yellow skittle.
A. 1/100
B. 1/80
C. 1/95
D. 1/76
2. What is the P(red, then red) without replacement.
A. 1/19
B. 1/16
C. 9/39
D. 9/20
Answer:
A
B
Step-by-step explanation:
that's it
what is 5\sqrt(3ft *3\sqrt(12))
The solution of 5√3 × 3√12 = 30√3.
What is square root?Square root of a number is defined as the number in which the multiplication by itself gives the original number. That is the square root of 9 would be = 3 in which when multiplied by itself gives the original number being 9.
Other examples include √ 4 = 2, √ 25 = 5, √100 = 10.
To simplify the give expression;
5√3 × 3√12= 5√3 × 3√4×3
= 5√3 × 3×2√3
= 5√3 × 6 √3
= 30√3.
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Which of the following equations does the graph below represent?
A. 3x + 7y = 21
B. -3x + 7y = 21
C. x + 7y = 21
D. -3x + y = 21
Answer:
B
Step-by-step explanation:
if x = 0 ; y = 3
if x = -7 ; y = 0
A 0 + 7(3) = 21
0 + 21 = 21
21 = 21 (ok)
3(-7) + 0 = 21
-21 = 21 (false)
B
0 + 21 = 21
21 = 21 (ok)
(-3)(-7) + 0 = 21
21 = 21 (ok)
A study conducted by the Institute of Education Sciences from 1992 to 2003 found that about 22% of adult Americans had low levels of literacy and were “not able to locate information in text,” could not “make low-level inferences using printed materials” and were unable to “integrate easily identifiable pieces of information.” If a simple random sample of 50 adult Americans is collected, what is the probability that more than one-fourth of them will have low levels of literacy as described above?
The probability that more than one-fourth of them will have low levels of literacy as described above is 0.3043.
What is probability?
The area of mathematics known as probability deals with numerical descriptions of how likely it is for an event to happen or for a claim to be true. A number between 0 and 1 is the probability of an event, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes its certainty.
Given: A study conducted by the Institute of Education Sciences from 1992 to 2003 found that about 22% of adult Americans had low levels of literacy and were “not able to locate information in text,” could not “make low-level inferences using printed materials” and were unable to “integrate easily identifiable pieces of information.”
A simple random sample of 50 adult Americans is collected.
n(p) = 50(0.22)
n(1 - p) = 50(1 - 0.22)
The CLT would hold here.
n = 50
p = 0.22
p cap = 0.25
The test statistic, z = (p cap - p) / (√p (1 - p) / n)
z = (0.25 - 0.22)/(√0.22(1-0.22)/50)
z = 0.51
The p-value is 0.3043.
Hence, The probability that more than one-fourth of them will have low levels of literacy as described above is 0.3043.
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19.)x+ tan (xy) = 0
The value of y is, [tex]y = \frac{tan^-^1(-x) + \pi n}{x}[/tex].
What is tangent function?
One of the primary six trigonometric functions, the tangent function is typically expressed as tan x. When considering the angle in a right-angled triangle, it is the ratio of the opposite side to the adjacent side.
Consider, the given function
x + tan(xy) = 0
Subtract x from both sides,
x + tan(xy) - x = -x
tan(xy) = -x
Apply tan inverse on both sides,
[tex]xy = tan^-^1(-x) + n\pi[/tex] (Tangent function is a periodic function)
Divide both sides by x,
[tex]y = \frac{tan^-^1(-x)}{x} + \frac{n\pi }{x}[/tex], x ≠ 0
Hence, the value of y is, y = [tex]y = \frac{tan^-^1(-x)}{x} + \frac{n\pi }{x}[/tex].
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Can someone please help me thank you
The answers to the worksheet are in the included picture! :p
-------------------------------------------------------------------------------
This is just an example on how to simplify fractions: Write the simplified form of the fraction 12/24.
The given fraction is 12/24.
Step 1: Let us write the factors of 12 and 24.
Factors of 12 are: 1, 2, 3, 4, 6, 12
Factors of 24 are: 1, 2, 3, 4, 6, 8, 12, 24
Step 2: Let us identify the common factors of 12 and 24.
Common factors are: 1, 2, 3, 4, 6, 12
Step 3: Keep dividing the numerator and denominator by the common factors.
(12 ÷ 2)/(24 ÷ 2) = 6/12
And
(6 ÷ 2)/(12 ÷ 2) = 3/6
Now divide by 3,
(3 ÷ 3)/(6 ÷ 3) = 1/2
Thus, 1/2 is the simplified fraction of 12/24.
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Have a great day and God bless! :D
Rebecca wants to buy a new phone. She has already saved $110 and received a gift of $50 from her grandmother that she added to her savings. She plans to earn the rest by selling necklaces for $5 each. The phone she wants to purchase costs $485. Write an equation that represents how many necklaces Rebecca will need to sell in order to have enough money to get her phone.
Answer:
5x=325+160
Step-by-step explanation:
this was very easy but i guess with so many words it could confuse people
Write an algebraic expression that represents each purchase.
a. Dr. Lin bought x number of soccer balls and 4 baseballs.
b. Nestor, Felix, Peter, and Hao are on a baseball team. They each bought a baseball and x pairs of sweat socks.
26. Suppose x has the same value in both of the expressions you wrote for 25. Are the two expressions you wrote for 25 equivalent? Explain.
27. Sophia says that the algebraic expression 4
4
5x, where x represents the cost of a baseball, describes the cost of a soccer ball. Do you agree? Explain.
1. An algebraic expression that represents each purchase is as follows:
a) 15x + 24b) 5x + 24.2. Supposing that x has the same value in both expressions written above, the two algebraic expressions are not equivalent because the slope of expression A is greater than the slope of expression B.
3. The cost of a soccer ball in relation to the cost of a baseball cannot be represented by the algebraic expression 4 + 5x because it is given that the cost of a soccer ball is $15, and no number can substitute the x variable to equate the two.
What is an algebraic expression?An algebraic expression is a combination of terms (variables and constants) using the mathematical operations of addition, subtraction, multiplication, division, etc.
a) 15x + 4(6) = 15x + 24
b) 4(6) + 5x = 24 + 5x or 5x + 24
c) Cost of a soccer ball = $15
Cost of a baseball = $6
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Question Completion:Soccer balls = $15 each
Baseballs=$6 each
Sweat socks =$5 per pair
1) Use the scale factor to
determine the new area of each
scale drawing.
Scale factor = 3
2 meters
4.5 meters
Solve the equation n x 5 = 5000 explain you solution
Answer:
1000
Step-by-step explanation:
n x 5 = 5000
n = 5000/5
n = 1000
Subtract.
Your answer should be a polynomial in standard form.
(6a³ + 7a²) - (5a³ + 9a² + a) =
Step-by-step explanation:
=6a^3+7a^2-5a^3-9a^2-a
=a^3-2a^2-a this is the final answer.
Maria deposits $1,400 into the Park Avenue Bank. The account pays 2.5% annual interest compounded semi-annually. What is her ending balance after 3
years? Round to the nearest cent (2 digits after the decimal point).
The ending balance is
The ending balance after 3 years is $1508.34
What is compound interest?
The interest that is paid on both the initial principal and the accumulated past interest is known as compound interest.
The compound amount and compound interest are calculated by:
Compound amount, [tex]A=P(1+\frac{r}{n} )^{nt}[/tex]
Compound interest, [tex]I = A - P[/tex]
where, P is the principal amount
r is the rate of interest(in decimal)
n is the number of times the interest is compounded annually
t is the time.
Given, Principal amount, P = $1400
rate of interest, r = 2.5% = 0.025
n = 2 (compounded semi-annually)
t = 3 years
Then, the compound amount is calculated by:
[tex]A=1400(1+\frac{0.025}{2} )^{2*3}\\[/tex]
or, [tex]A=1400(1+0.0125 )^{6}\\[/tex]
or, [tex]A=1400(1.0125 )^{6}\\[/tex]
or, [tex]A=1508.34[/tex]
Therefore, the ending balance is $1508.34
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The amount $3.80 of 4% of what price?
Chelsea was reading at steady pace.By the time she stopped reading for the night she had 64 pages in 20 minutes.What is Chelsea's unit rate
Answer:
3.2 pages per minute
Step-by-step explanation:
Unit Rate: 64 / 20 = 3.2 pages per minute
A unit rate is just a measure of either how fast you can do one of something, or how fast you can do something in one unit of time :)
Answer:
Step-by-step explanation
64 pages ÷ 20 =
20 minutes ÷ 20 =
3.2 pages
1 minute
so she read 3.2 pages per minute
here are the first 5 terms of an arithmetic sequence, 2,6,10,14,18... is 86 a term in this sequence, you must give a reason for your answer
Answer: Yes
Step-by-step explanation:
Because if you keep going it will reach 86, since it's added by 4, so 18, 22, 26, 30, 34, 38, 42, 46, 50, 54, 58, 62, 66, 70, 74, 78, 82, 86.
Elijah read his book from 4:30pm until 6:00pm. He read 1 chapter every 10 minutes.
How many chapters total did Elijah read?
Answer:
he read 9 chapters
Step-by-step explanation:
4:30 pm to 6:00 pm is 1:30 hours, which is 90 minutes
90/10=9
A director of reservations believes that 9% of the ticketed passengers are no-shows. If the director is right, what is the probability that the proportion of no-shows in a sample of 789 ticketed passengers would differ from the population proportion by less than 3%? Round your answer to four decimal places.
The probability that the proportion of no-shows in a sample of 789 ticketed passengers would differ from the population proportion by less than 3% is 0.9968
How to get the required probabilityThe probability is calculated using z score, this is used to determine the amount of standard deviations a sample, X is from the mean
The z score is given by the formula
z = (X - μ) / σ
Definition of variables
mean, μ = p = 9% = 0.09
sample size, n = 789
standard deviation, σ
= √{(p(1 - p)) / n}
= √{(0.09(1 - 0.09)) / 789}
= √{(0.09 * 0.91) / 789}
= 0.0102
The probability
differ from the population proportion by less than 3%
|X - 0.09| < 0.03
X < 0.12 OR X > 0.06
0.06 < X < 0.12
P(z < 0.12) - P(z < 0.06 )
z score for z < 0.06
z = (0.06 - 0.09) / 0.0102
= -2.9412
p value for z < -2.9412 = 0.0016
z score for z < 0.12
z = (0.12 - 0.09) / 0.0102
= 2.9412
p value for z < 2.9412 = 0.9984
The probability required = 0.9984 - 0.0016 = 0.9968
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Jamar has invested $300 in an annuity each month, earning 5.5% interest for 30 years.
Beth has invested $600 in an annuity each month, earning 5.5% interest for 15 years.
Which of the following must be true?
Select the correct answer below:
Answer:
(d) Jamar's ending account balance is higher than Beth's ending balance.
Step-by-step explanation:
You want to know the best description of the relationship between final balances of two ordinary annuities:
300 per month for 30 years at 5.5%600 per month for 15 years at 5.5%Future valueThe attached calculator display shows the ending balance for Jamar's annuity and for Beth's annuity. We assume the final balance is the balance after the final payment. That is, Beth's balance will be known 15 years before Jamar's balance is known.
Jamar's balance: $274,083.57
Beth's balance: $167,247.33
The best description is ...
Jamar's ending account balance is higher than Beth's ending balance.
__
Additional comment
Jamar makes twice as many payments of half the amount each, so his total contribution is the same as Beth's. His early payments are earning interest for twice as long as Beth's, so his account earns more interest.
A teacher bought markers at a cost of $3 per set. The teacher had a $2-off coupon to use
toward the total cost of the markers bought.
Which table shows the relationship between , the number of sets of markers bought by the
teacher, and y, the total cost of the markers?
The first table A shows the relationship between the number of sets of markers bought by the teacher and the total cost of the markers.
From given question, the cost per set of markers = $3
The teacher had a $2-off coupon to use toward the total cost of the markers bought.
It is given that the number of sets of markers bought by the teacher is x, and y is the total cost of the markers.
so, we get a linear equation as:
3x - 2 = y
From table A we can see that the data satisfied the given equation,
3x - 2 = y
when x = 3, y = 3(3) - 2 = $7
when x = 9, y = 3(9) - 2 = $25
when x = 12, y = 3(12) - 2 = $34
when x = 24, y = 3(24) - 2 = $70
Therefore, the first table A shows the relationship between the number of sets of markers bought by the teacher and the total cost of the markers.
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57) A roundabout consists of a carriageway with a width of 4.5 meters and a circular inner area with a diameter of 16 meters.
a) There is a fence around the inner area. How many meters is the length of the fence? Round to two decimal places.
b) The inner area is sown with grass. 25 grams of grass seed is needed per m². Calculate how many kg of grass seed is needed for the indoor area. Round to one decimal place.
c) Calculate the area of the carriageway on the roundabout in m². Round to one decimal place.
d) In the case of road works, a white line will be placed in the middle of the carriageway of the roundabout. The striping car travels at a speed of 25 cm per second. How many minutes does it take to apply the line? Round to wholes.
a) Length of Fence = 50 meters
b) Weight of Grass Seeds = 20 kg
c) Area of Carriageway = 516 sq. meters
d) Time taken by the Striping Car = 7.6 minutes
What is a Circle?
A circular plane figure with a circumference made up of points equidistant from a given point (the center).
Solution:
a) To calculate the length of fence we need to find the circumference of the inner circle
Circumference of Circle = 2*22/7 *Radius
Circumference of Circle = 2 * 22/7 * (16)/2
Circumference of Circle = 50.24
So, the length of fence is 50 meters approx
b) To calculate the the total weight of grass we need to first find the area of the inner circle
Area of Circle = 22/7 * (Radius)^2
Area of Circle = 22/7 * (16)^2
Area of Circle = 22/7 * 256
Area of Circle = 803.84 meter sq.
For 1 meter sq. = 25 grms of grass seeeds are required
So, for 804 meters = 25*804 = 20100 grams
20100 grams = 20.1 kg = 20 kg (approx)
c) The are of Inner Carriageway will be calculated by substracting the area of inner circle from outer circle
Area of Outer Circle = 3.14 * (16+4.5)^2
Area of Outer Circle = 1320 sq. meters (approx)
Area of Inner Circle = 804 sq. meters (approx) #we have calculated it above
Area of Carriageway = 1320 - 804 = 516 sq. meters (approx)
d) Speed of Stripping Car = 25 cm/sec
Circumference of the part to be stripped = 2*3.14*(16+2.25)
Circumference = 115 meters approx. = 11500 cm
Time = Distance / Speed
Time = 11500/25 = 460 seconds
460 seconds in minutes = 7.6 minutes
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12) m/GOP = 80°, m/ROP
and m/ROG= 32x + 4. Find x.
R
Q
= 3 +59x,
G
By using linear pair, we have found that the value of x is 3.
What is linear pair?Linear pairs of angles are produced when two lines intersect each other at a point. The sum of angles of the linear pair is always 180 degrees.
Given that Angle QGP = 80°, Angle ROP = 3 + 59x and Angle ROG= 32x + 4. Find x.
Therefore, we can see that Angle ROG and Angle QGP lie in a straight line.
Thus, by linear pair
Angle ROG + Angle QGP = 180
80° + 32x + 4 = 180
32x = 100 - 4
x = 96/32
x = 3
Hence, the value of x is 3.
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To go to the theater you would pay $8.00 for each ticket you purchase. Which answer choice correctly represents the algebraic expression for the cost of t tickets?
A. 8t
B. 8 + t
C. 8 – t
D.
Answer:
Step-by-step explanation:
a
Cp when Sp is 5625 and profit is 25%
4500 is the Cost price.
What do you mean by price at cost?
Cost price is the total sum of money that it costs a manufacturer to make a particular good or offer a particular service.The cost price of an item is the price at which it is produced or the price at which it is purchased. C.P. stands for "cost price." Selling Price: A product's selling price is the cost at which it is sold.SP = 5625
Profit = 25%
CP = ?
CP = 5625/125 * 100
= 45 * 100
= 4500
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Maya bought a new pack
of trading cards. The cards
originally cost $5.00. She had a
coupon for 20% off. How much
did Maya have to pay for the
trading cards after the coupon?