4/5 decreased by 3/5%
Answer:
Step-by-step explanation:
words algebraic symbols reason
two decreased by a number 2 - x start with 2, make it smaller
a number decreased by two x - 2 start with a number, make it smaller
two less than a number x - 2 start with a number, make it smaller
four more than a number x + 4 or 4 + x start with a number, add 4
the difference between 6 and a number 6 - x subtract, starting with 6
subtract four from a number x - 4 starting with a number, subtract 4
the sum of 4 and a number x + 4 or 4 + x add to get a sum
the opposite of the sum of a number and three -(x+3) or -(3+x) take sum, take opposite of sum
It may be convenient for the reader to use the technique the author used in writing the reason column.
Think of the word expression as a task to be completed by a computation.
Determine the operations needed.
Think how one would start and, then
think of what would need to be done to complete the task described.
Notice the uses of the preposition "of" in the last example. Prepositional phrases break up the expressions into pieces. Those beginning with "of" are discussed on the last page.
Below, notice how the prepositional phrases, in blue, which begin with by, between, from, and than, make it easier to examine the phrase and determine where to start and what to do.
words algebraic symbols reason
two decreased by a number 2 - x start with 2, make it smaller
a number decreased by two x - 2 start with a number, make it smaller
two less than a number x - 2 start with a number, make it smaller
four more than a number x + 4 or 4 + x start with a number, add 4
the difference between 6 and a number 6 - x subtract, starting with 6
subtract four from a number x - 4 starting with a number, subtract 4
the sum of 4 and a number x + 4 or 4 + x add to get a sum
the opposite of the sum of a number and three -(x+3) or -(3+x) take sum, take opposite of sum
Additional information is found in a prepositional phrases. The preposition "from" is almost always a tip-off that subtraction is required. Often, the desired mathematical expression starts with what is in the "from" prepositional phrase.
Multiplication & Division
Here are words associated with multiplication or division. The context is the key to the symbols needed, not the word itself. Remember, the word AND is a signal that there are two or more ideas, not that addition is required. Remember, to use prepositional and other phrases to break up the expression in order to determine what is required. Examples follow the list.
divide
quotient
halve, half
third
product
double
triple
square
words algebraic symbols reason
the product of two and a number 2x or 2(x) multiply
a third of the sum of a number and two (x + 2)/3 start with the sum, take a third of it
double the difference between 6 and a number 2(6-x) start with the difference, multiply by 2
triple the sum of four, five, and a number 3(4 + 5 + x) start with the sum, multiply by 3
the value of 4 nickels 4(5) or 5+5+5+5, etc. four fives or five four times
the value of some nickels 5x multiply 5 times a number
The last example may be HARD. Use the table below to examine the reason more clearly. The value of x nickels is 5x. The value of some nickels is 5x.
number of nickels value of nickels
1 5(1) = 5
2 5(2) = 10
3 5(3) = 15
4 5(4) = 20
x 5(x) = 5x
Exercises
I. Write the expression/equation then check the answer.
Note: Your browser may print the answers with spaces that are not ment to be there.
1.) the square of five
Answers
5²
2.) the square of five subtracted from a number
Answers
x - 5²
3.) the opposite of a number
Answers
-x
4.) six less than half of a number
Answers
x/2 - 6 or .5x - 6
5.) the product of a number and four
Answers
4(x) or 4x or (4)(x)
6.) a number decreased by five
Answers
x - 5
7.) five less than a number
Answers
x - 5
8.) Ten is five less than a number.
Answers
10 = x - 5
9.) A number is less than five.
Answers
x < 5
See additional info on these.
10.) one less than a number
Answers
x - 1
11.) one less than a double a number
Answers
2x - 1
12.) the opposite of the sum of a number and 12
Answers
-(x + 12)
13.) triple a number
Answers
3x
14.) twice the sum of a number and 1
Answers
2(x + 1)
III. Complete the table. Check each answer.
words algebraic symbols
1.
Answers
one less than a number
x - 1
2. the sum of six and double a number
Answers
6 + 2x or 2x + 6
3. double the sum of six and a number
Answers
2(x + 6)
4. the sum of three consecutive integers
Answers
first + second + third
(x) + (x + 1) + (x + 2)
5. the product of 2 consecutive odd integers
Answers
(first)(second)
(x)(x + 2)
IV. Complete the table. Check each answer.
words algebraic symbols
1. one more than a number
Answers
x + 1 or 1 + x
2.
Answers
one less than a number or a number decreased by one
x - 1
3. the product of a number and 3 and a different number
Answers
3xy
4.
Answers
double a number or the product of a number and two
2x
5.
Answers
the square of a number or a number multiplied by itself
x2
Examine the steps used to solve the equation.
Negative 3 y + two-thirds = 2 y minus 4. 1. Two-thirds = 5 y minus 4. 2. StartFraction 14 Over 3 EndFraction = 5 y. 3. (one-fifth) StartFraction 14 Over 3 EndFraction = (one-fifth) 5 y.
Evaluate the steps used to solve the equation, and then describe each step.
Step 1:
Step 2:
Step 3:
What is the solution to the equation?
y =
Answer:
can confirm guy or girl above me
Step-by-step explanation:
The solution to the equation is y=14/15.
The given equation is -3y+2/3=2y-4.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Now, transpose -3y to RHS and simplify.
That is, 2/3=5y-4
Transpose -4 to LHS and simplify.
That is, 14/3=5y
Multiply by 1/5 on both sides of the equation.
So, 14/3×1/5=5y×1/5
⇒y=14/15
Therefore, the solution to the equation is y=14/15.
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Ismael has a set of 5 solar panels and Ben has a set of 6 smaller solar panels. Each set of panels produce the same amount of energy. 3 of Ismael's panels are on and producing energy. 4 of Ben's are on and producing more energy. Whose solar panels are producing more energy? Explain.
9514 1404 393
Answer:
Ben's
Step-by-step explanation:
If E is the amount of energy that each full set of panels produces, then ...
3 of Ismael's 5 panels produce 3/5E
4 of Ben's 6 panels produce 4/6E
We can compare these fractions when they have a common denominator.
3/5E = 18/30E . . . . energy from Ismael's panels
4/6E = 20/30E . . . energy from Ben's panels
18/30 < 20/30 . . . . so Ben's panels are producing more energy
Types of operating system
Answer:
unary and binary
Step-by-step explanation:
Unary operations involve only one value, such as negation and trigonometric functions. Binary operations, on the other hand, take two values, and include addition, subtraction, multiplication, division, and exponentiation.
Answer:
multiprocessing operating system
batch operating system
realtime operating system
multi tasking operating system
mobile operating system
network operating system
In the rectangle below what is X
Answer:
X = 114
Step-by-step explanation:
if one corner is 33 degrees. and the opposite corner is the same then you know that makes 66 degrees.
you take that minus 180. so 66 - 180 which leaves 114.
so X is 114
In one online store, 12 % 12%12, percent of the orders are placed by new customers. Let N NN be the number of orders placed in a day to reach the store's first new customer. Assume each order's customer status is independent. Find the mean and standard deviation of N NN.
Answer:
mean-8.3
sd-7.8
Step-by-step explanation:
khan
Answer:
Mean: 8.3 orders
Standard deviation: 7.8 orders
Step-by-step explanation:
An equation was created for the line of best fit from actual enrollment data. It was used to predict the dance studio enrollment values shown in the table below:
Enrollment
Month
January
February
March
April
May
June
Actual
500
400
550
550
750
400
Predicted
410
450
650
650
600
450
Residual
90
−50
−100
−100
150
−50
Analyze the data. Determine whether the equation that produced the predicted values represents a good line of best fit. (1 point)
Select one:
a. No, the equation is not a good fit because the sum of the residuals is a large number.
b. No, the equation is not a good fit because the residuals are all far from zero.
c. Yes, the equation is a good fit because the residuals are not all far from zero.
d. Yes, the equation is a good fit because the sum of the residuals is a small number.
The inference from the information is A. No, the equation is not a good fit because the sum of the residuals is a large number.
What is a line of best fit?It should be noted that line of best fit simply means a line through a scatter plot of data points which shows the relationship between the points.
In this case, the inference from the information is that the equation is not a good fit because the sum of the residuals is a large number.
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Suppose a special interest group in a state is promoting an amendment to the state constitution so that residents can legally consume marijuana for medical and recreational use. They declare that voters in the state are strongly in support of the legalization of marijuana. This declaration is based on data collected in a sample survey. The group used the white pages of telephone directories of the three largest metropolitan areas in the state and randomly selected residential phone numbers to call in each city. They made calls until they had 500 responses per area. The relevant population of interest is:
Answer:
All Registered voters in the state
Step-by-step explanation:
The random sample utilized involves a random subset of citizens from each of the 3 largest cities in the state. The larger group which consists of all set of observation from which the smaller sample used in the survey was chosen is called the population.
Hence, the relevant population may be said to encompass all citizens of the state who have attained voting age and are registered, hence, all citizens in the state who are registered voters.
Really need the answers
Answer:
Of what???? what question?
A store pays $3 for a box of plastic spoons and marks the price up by 5%. What is the
amount of the mark-up?
$
Answer:
givens
3$
5%
clue word Up
operation to be use : Multiplication
Number Sentence 3x( 5÷100=0.05 )
3x0.05=N
The Answer Is
3x0.05 = 0.15
$0.15 Is the Amount Of the Mark-Up
Hope It's Help (づ￣ ³￣)づ
[ I spend 3:00 minutes This solved It ]
find the mean of the distribution
Answer:
yyy
Step-by-step explanation:
Answer:Canst see
Step-by-step explanation:
sorry my guy
help me fast quick plz I need an answer
Answer:
this is tricky
Step-by-step explanation:
Negative nine is greater than the sum of fifteen and two times a number.
Answer:
-9>2x+15
Step-by-step explanation:
Solve for.x.
10x-7
3x-4
Answer:
Length of side having 3x-4 is half of length having 10x-72 by property of triangle.
So
2*(3x-4) = 10x - 72
6x - 8 = 10x - 72
10x - 6x = 72 - 8
4x = 64
X = 64/4
x = 16
Which of the symbols correctly relates the two numbers below? Check all that
apply.
55? 35
Answer:
this symbol >
Step-by-step explanation:
A city planner is studying the need for affordable housing in the city's Urban Planning Department. He learned from the census of all 75,342 households in the city that the median family income is $65,000, with an average of 2.9 persons-per-household, and 88% live in a single household unit. Previously, the planner had surveyed a group of 400 randomly selected households in the city. The surveyed households had a median family income of $52,000, an average of 3.2 persons per household, and 80% lived in a single household unit. 2
(a) For city planner's survey, identify the population and the sample,
Population: (Choose one)
Sample: (Choose one)
(b) Choose whether each number described below is a parameter or a statistic for the city planner's survey,
Number Parameter Statistic
The 80% of the group of randomly selected households that live in a single household unit
The average of 2.9 personer household of all the households in the city The $65,000 median family income of all the households in the city At a TV assembling facility, the Quality Assurance (QA) department tested a random selection of 600 TV's assembled in March.
Answer:
Population = 75,342 households
Sample = 400 randomly selected households
The percentage who live in a single household unit = Parameter
The average of 2.9 person per household of all households in the city = parameter
The $65,000 median family income of all the households in the city = Parameter
Step-by-step explanation:
The population refers to all the entire elements, observations or subject which fits into a particular study. In the scenario above, the entire household in the city of study. That is, the 75,342 households.
The sample is the subset of the population which is a smaller set of observation meant to be representative of the larger population. The sample here is the 400 randomly selected households.
Parameter differs from statistics in that numerical estimates or calculations obtained from the population is called the parameter while the numerical characteristics derived from the sample is called statistic.
In this exercise we have to use the knowledge of probability to calculate the chances of choosing a TV approved by the quality control, so:
400 randomly selected households
So, based on the information given in the statement, we have:
Population = 75,342 householdsSample = 400 randomly selected householdsSome parameters for this equation are:
The percentage who live in a single household unit The average of 2.9 person per household of all households in the cityThe $65,000 median family income of all the households in the cityThe inhabitants of a place refers to all the complete essential feature, attention or subject that fits into the study. In the sequence of events above, the complete household fashionable the city of study. That is, the 75,342 households.
The sample exist the subset of the inhabitants of a place that exist a tinier set of comment on something scrutinized intend expected representative of the best inhabitants of a place. The sample in this place happen the 400 carelessly picked households.
See more about statistics at brainly.com/question/10951564
Students at a major university are complaining of a serious housing crunch. Many of the university's students, they complain, have to commute too far to school because there is not enough housing near campus. The university officials respond with the following information:
The mean distance commuted to school by students is 17.1 miles, and the standard deviation of the distance commuted is 3.7 miles. Assuming that the university officials' information is correct, complete the following statements about the distribution of commute distances for students at this university.
1) According to Chebyshev's theorem, at least 36% of the commute distances lie between miles and miles. (Round your answer to 1 decimal place.)
2) According to Chebyshev's theorem, at least of the commute distances lie between 9.7 miles and 24.5 miles.
a) 56%
b) 75%
c) 84%
d) 89%
3) Suppose that the distribution is bell-shaped. According to the empirical rule, approximately of the commute distances lie between 9.7 miles and 24.5 miles.
a) 68%
b) 75%
c) 95%
d) 99.7%
4) Suppose that the distribution is bell-shaped. According to the empirical rule, approximately 68% of the commute distances lie between miles and miles.
Answer:
1) Between 12.5 miles and 21.7 miles.
2) b) 75%
3) c) 95%
4) Between 13.7 miles and 20.5 miles.
Step-by-step explanation:
Empirical Rule:
The Empirical Rule states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviations of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
Chebyshev Theorem:
The Chebyshev Theorem can also be applied to non-normal distribution. It states that:
At least 75% of the measures are within 2 standard deviations of the mean.
At least 89% of the measures are within 3 standard deviations of the mean.
An in general terms, the percentage of measures within k standard deviations of the mean is given by [tex]P = 100(1 - \frac{1}{k^{2}})[/tex].
1) According to Chebyshev's theorem, at least 36% of the commute distances lie between miles and miles.
Within k standard deviations of the mean, and k is found when [tex]P = 36[/tex]. So
[tex]P = 100(1 - \frac{1}{k^{2}})[/tex]
[tex]36 = 100 - \frac{100}{k^2}[/tex]
[tex]\frac{100}{k^2} = 64[/tex]
[tex]64k^2 = 100[/tex]
[tex]k^2 = \frac{100}{64}[/tex]
[tex]k = \sqrt{\frac{100}{64}}[/tex]
[tex]k = \frac{10}{8}[/tex]
[tex]k = 1.25[/tex]
Within 1.25 standard deviations of the mean.
1.25*3.7 = 4.6 miles
17.1 - 4.6 = 12.5 miles
17.1 + 4.6 = 21.7 miles
Between 12.5 miles and 21.7 miles.
2) According to Chebyshev's theorem, at least of the commute distances lie between 9.7 miles and 24.5 miles.
17.1 - 9.7 = 24.5 - 17.1 = 7.4 miles, so within 2 standard deviations of the mean, which is 75%, option B.
3) Suppose that the distribution is bell-shaped. According to the empirical rule, approximately of the commute distances lie between 9.7 miles and 24.5 miles.
Within 2 standard deviations of the mean, by the Empirical Rule, which is 95%, option c.
4) Suppose that the distribution is bell-shaped. According to the empirical rule, approximately 68% of the commute distances lie between miles and miles.
Within 1 standard deviation of the mean.
17.1 - 3.4 = 13.7
17.1 + 3.4 = 20.5
Between 13.7 miles and 20.5 miles.
Question 2 of 10
If A PQR = ASTU, which statement must be true?
Answer:
PQ = ST
Step-by-step explanation:
..................
Answer:
pq = st
Step-by-step explanation:
-4 • 3 + -7 ?????????
Answer:
The answer to this equation would be -19
Hope this helps!
Answer:
-19
Step-by-step explanation:
PLZZ answer lots of points
Answer:
7
Step-by-step explanation:
Answer:
it is 7 hope helped
Step-by-step explanation:
3×/5 2×/3 + 1/5 = 0
Answer:
what is the question. the equation is invalid.
In a survey of 1000 voters, 680 said they would vote for the same candidate again. What percent of the voters WOULD NOT vote for the same candidate again?
Answer:32%
Step-by-step explanation:1000- 680=320
100-68=32
32%
6(9+12) procedimiento con propiedad distributiva
Answer:
126
Step-by-step explanation:
Imagine that Dr. Jones publishes a study that claims that drinking while pregnant is dangerous for the health of the unborn baby. He surveys 200 women and finds that of the 100 women in his study who drank when pregnant, 78 had children who experienced problems with attention. Of the 100 women in his study who did not drink when pregnant, only 29 children experienced problems with attention. Your neighbor says that Dr. Jones is wrong because she drank when pregnant and her child is perfectly healthy. Explain why Dr. Jones is NOT wrong.
Answer:
Kindly check explanation
Step-by-step explanation:
Dr. Jones conclusion was based on probability which measures the degree of likelihood of an occurrence or event. In his experiment, the result could be interpreted using point estimate to mean that ; 78/100 = 0.78 or 78% of those who drank while pregnant has problem with attention while only 29/100 = 0.29 or 29% of those who did not drink.
This conclusion means that pregnant women who drink have a higher likelihood of giving birth to a child with attention problem than pregnant women who do not drink. Hence, the fact that someone who drank gave birth to a perfectly healthy child does not discredit or annull Dr. Jones study.
Please help this is due tomorrow
Answer:
4. The blue and green lines are parallel.
4b. I know this because they have the same slope.
5:
a.[tex] \frac{4}{5} [/tex]
b. [tex]y = \frac{4}{5} x + 4[/tex]
Jake feeds some chickens 1/8 of a bag of chicken feed each day. If he has 8 bags of feed, how many days will the feed last?
Answer:
1/2
Step-by-step explanation:
because if he has 8 bags he wil only have half a bag left
Which comparison is correct?
151 >>7
07<171
1-31 >|-41
0-5<-4
Answer:
151>7 is correct
Step-by-step explanation:
Help me pleaseeeeeeeeeeeeee
I am pretty sure the answer is H
When creating a playlist for spotify, Jorge likes to maintain a ratio of 7 hip hop songs : 2 pop songs : 1 slow song. Suppose Jorge wants to put 28 hip hop songs on the playlist. How many total songs will be on the playlist? Use any method to solve.
por favor ayúdame, doy lo más inteligente,más inteligente ,Brainliest i give brainliest!
Answer:
The trapezoid's area formula is [tex]A = \frac{1}{2} (b_{1} + b_{2})h[/tex], the circle's area formula is [tex]A =[/tex]π[tex]r^{2}[/tex], the triangle's area formula is [tex]A = \frac{1}{2}bh[/tex], and the parallelogram's area formula is [tex]A = bh[/tex].
