Answers
Reason: It's 3 spaces from J to K, or vice versa.
We can subtract and use absolute value to get the same result
|J - K| = |-7 - (-4)| = |-7 + 4| = |-3| = 3
or
|K - J| = |-4 - (-7)| = |-4 + 7| = |3| = 3
Related Questions
never got taught this.
Answers
Answer:
|-5| is equal to 5 because absolute value is the distance from 0
Step-by-step explanation:
Betsy, a recent retiree, requires $6,000 per year in extra income. She has $60,000 to invest and can invest in B-rated bonds paying 13% per year or in a certificate of deposit (CD) paying 5% per year. How much money should be invested in each to realize exactly $6,000 in interest per year?
Answers
$37,500 should be invested in B-rated bonds and $22,500 should be invested in a certificate of deposit in order to realize exactly $6,000 in interest per year.
The total amount to be invested is $60,000. We are given two options for investing the money.The money can be invested either in B-rated bonds, which pays 13% interest per year, or in a certificate of deposit (CD), which pays 5% interest per year.Let the amount to be invested in B-rated bonds be 'x'. The amount to be invested in a certificate of deposit equals 60,000-x. The requirement is to get an exact amount of interest that equals $6000. The total interest per year = 13% of 'x' + 5% of (60,000-x).6,000 = 13x/100 + 5(60,000-x)/100.6,00,000 = 13x + 5(60,000-x)6,00,000 = 13x + 300,000-5x6,00,000 = 8x + 300,0008x = 300,000x = 300,000/8x = 37,500Now calculate the value of 60,000-x.60,000-x = 60,000-37,50060,000-x = 22,500Thus, the amount to be invested in B-rated bonds is $37,500 and the amount to be invested in a certificate of deposit is $22,500.To learn more about interest, visit :
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A sloth travels about 7 feet every minute. Generate the set of ordered pairs for the ratio relationship between the total distance traveled y and the number of minutes x for a total of 1, 2, 3, and 4 minutes.
Answers
Answer:
(1, 7)
(2, 14)
(3, 21)
(4, 28)
Step-by-step explanation:
PLEASE ANSWER AND will report if your answer is wrong/incorrect
Answers
Solve For x
[tex] \tt \red{4x + 2 = -8}[/tex]
Thank uh ~
Answers
Step by step explanation
Answer:
The answer will be -5/2.
Step-by-step explanation:
[tex]4x + 2 = - 8 \\ subtracting \: 2 \: from \: each \: sides \: we \: get \\ 4x + 2 - 2 = - 8 - 2 \\ 4x = - 10 \\ diving \: both \: sides \: by \: 4 \: we \: get \\ \frac{4x}{4} = \frac{ - 10}{4} \\ x = \frac{ - 5 \times 2}{2 \times 2} \\ x = \frac{ - 5}{2} [/tex]
Show two methods for finding the quotient 3/8 divided by 3/4
Answers
Step-by-step explanation:
9/32 or 0.28125
hehhehehehehehhehehehe
Answer:
Hello,
Step-by-step explanation:
[tex]\dfrac{\dfrac{3}{8} }{\dfrac{3}{4} } =\dfrac{0.375}{0.75}=\dfrac{375}{750} =\dfrac{1}{2} =0.5\\\\--------------------------------\\\\\dfrac{\dfrac{3}{8} }{\dfrac{3}{4} }=\dfrac{3}{8} * \dfrac{4}{3} \\\\\\=\dfrac{4}{8}\\\\=\dfrac{1}{2}\\\\=0.5\\[/tex]
Janayea wanted to change 0.079 to a percent. She changed it to 79%. Which statement is true?
A) Janayea Is Correct?
B) Janayea should have moved the decimal point 0.079 two places to the left to get 0.00079%.
C) Janayea should have moved the decimal point of 0.079 two places to the right to get 7.9%.
Answers
Answer:
Janayea should have moved the decimal point 0.079 two places to the left to get 0.00079%.
Is this argument inductive or deductive?
"Whenever I get off at Valencia rather than McBean, I get to campus faster. So Valencia must be
the faster route to school."
Answers
Answer:
Step-by-step explanation:
Indutivo
(33) MOVIES Chaz has a collection of 15 movies downloaded on his media player. He decides to download 3 more movies each month. The function M(t) = 15 + 3t counts
the number of movies M(t) he has after t months. How many movies will he have after
8 months?
Answers
Answer: 39
Step-by-step explanation: 15 is the number of movies he has already. The t in the formula stands for months. So simply plug in 8 for t because we want to know how much has has after 8 months
15+3(8)
15+24
=39
The Burger Joint expects to serve 250 hamburgers on Saturday evening. Each hamburger weighs 6
ounces before it is cooked. The chef orders ground beef in bulk by the pound from Outwest Meats,
ready to be formed into hamburger patties by the kitchen staff. How much ground beef will the chef
need to order to prepare for Saturday?
Answers
Answer:150 ounces
Step-by-step explanation:
Write an addition equation using numbers to represent
the verbal equation in problem 1.
Answers
The addition equation to represent the problem represented on the number-line is given by [tex]-5+8=3[/tex].
The number line is a visual representation of the real numbers along a straight line. Every point on a number-line contains a real number.
The integers that we see on this number line represents the round scores of the game Luis is playing.
At the beginning of second round Luis's team has a score of -5 , but he scored 8 points in the second round.
So the addition equation for representing this particular situation is given by :
Score in round 1 + points scored by Luis in round 2= Score in round 2
So the addition equation :
[tex]-5+8=3[/tex]
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A researcher who is interested in the behavior of chimps believes that temperature is related to aggression in this species of animal. She goes out to her local zoo during a particular weekend and adjusts the temperature of their climate-controlled habitat to 50-degrees, 70-degrees and 90-degrees Fahrenheit over the course of three days, noting the number of aggressive acts she observes at each temperature level.
A) What is the independent variable?
B) What is the dependent variable?
C) Is the dependent variable discrete or continuous?
D) What scale of measurement (nominal, ordinal, interval or ratio) is used to measure the dependent variable? What research method is being used (experimental or observational), and why?
Answers
The experimental research conducted by the scientist takes into account the following factors:
a)The change in temperature is the independent variable.
b) The effect of temperature on the chimp's act of aggression is the dependent variable.
c)The dependent variable is continuous.
d)The scale of measurement used to measure the dependent variable is interval.
e) The research method being used here is experimental.
In the above experiment the researcher wants to see the change in the aggression of the chimp when there is a change in temperature in the zoo.
In this experiment there are two variables that are being used, independent and dependent.The independent variable is the change in temperature as it is regulated by the researcher.The dependent variable is the change in the aggressive nature of the chimps, as the change in nature is directly affected by the change in temperature. The dependent variable(mood of the chimp) is continuous, as the value cannot be defined separately.Since the data is not discreet but continuous , the scale of measurement used is interval.The research method being used is experimental , because the researcher is controlling the variable temperature to see the effect of the temperature change on the chimps. So the researcher is directly experimenting on the chimps by changing an external factor. So the experiment is not observational.To learn more about research experiment and variables:
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Divide the fractions. ½÷⅞
Answers
Answer:1/2 / 7/8 = 8/14 = 4/7
Step-by-step explanation: switch the numbers on the second fraction and multiply. 1 * 8 = 8 2 * 7 = 14, 8/14 simplify: 4/7
In 2016, 6.76% (1,026) of Cincinnati college and university graduates majored in Registered Nursing. That combined statement provides both the percentage (6.76%) and the number (1,026) of Cincinnati college and university students who majored in Registered Nursing in 2016. Based on that statement, how many students graduated from Cincinnati universities and colleges altogether in 2016? Round to the nearest whole number.
Answers
The total number of students who graduated from the Cincinnati universities and colleges are 15382.
We are given that 6.76 % of Cincinnati college and university graduates majored in Registered Nursing.
The number of the Cincinnati college and university graduates who majored in Registered Nursing = 1026.
We need to find the total number of students that graduated from the Cincinnati universities and colleges altogether in 2016.
Let the total number of students be x.
ATQ:
6.67 % x = 1026
6.67 x = 102600
667 x = 10260000
x = 10260000 / 667
x = 15382.309
Rounding off to the nearest whole number is:
x = 15382.
Therefore, we get that the total number of students who graduated from the Cincinnati universities and colleges are 15382.
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6 less the quantity 9 times a number
Answers
hi
with " x' a number then :
6 -9X
Scott rented a truck for one day. There was a base fee of $18.99, and there was an additional charge of 92 cents for each mile driven. Scott had to pay $150.55 when he returned the truck. For how many miles did he drive the truck?
I need to find how many miles
Answers
Answer:
143 miles
Step-by-step explanation:
Let x = number of miles
Let y = total cost
150.55 = .92x + 18.99 Multiply all the way through by 100 to clear the decimal
15055 = 92x + 1899 Subtract 1899 from both sides
13156 = 92x Divide both sides by 92
143 = x
Anna solves the expression 6(5+3) and gets the result 48. Jojo solves the same expression and gets the result 33. Who is correct?
Answers
Answer:
Anna is correct.
Step-by-step explanation:
Using PEMDAS, you need to add the terms in the parentheses first.
After adding, you get 8×6 = 48
Jojo made the mistake of multiplying 6 and 5 first, and then adding 3.
Rectangle ABCD is shown on the grid.
A
(-1,4) 14
3
+2+
4
-6-5-4-312-3₁
(-3-b
B(3,3)
34
C(1-5)
X
What is the area of rectangle ABCD in square units?
O 3√17 square units
O 6√17 square units
O
17 square units
O 34 square units
Answers
well, we know it's a rectangle, so we know the opposite sides are perpendicular, so if we just get say the sides AD as its length and BA as its width, that'd give us its area, since it'll just be AD * BA.
[tex]~\hfill \stackrel{\textit{\large distance between 2 points}}{d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}}~\hfill~ \\\\[-0.35em] ~\dotfill\\\\ A(\stackrel{x_1}{-1}~,~\stackrel{y_1}{4})\qquad D(\stackrel{x_2}{-3}~,~\stackrel{y_2}{-4}) ~\hfill AD=\sqrt{(~~ -3- (-1)~~)^2 + (~~ -4- 4~~)^2} \\\\\\ ~\hfill AD=\sqrt{( -2)^2 + ( -8)^2}\implies \boxed{AD=\sqrt{68}} \\\\\\ B(\stackrel{x_1}{3}~,~\stackrel{y_1}{3})\qquad A(\stackrel{x_2}{-1}~,~\stackrel{y_2}{4}) ~\hfill BA=\sqrt{(~~ -1- 3~~)^2 + (~~ 4- 3~~)^2}[/tex]
[tex]~\hfill BA=\sqrt{( -4)^2 + (1)^2} \implies \boxed{BA=3} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{\LARGE Area}}{(\sqrt{68})(3)\implies (\sqrt{2^2\cdot 17})(3)}\implies (2\sqrt{17})( 3)\implies \LARGE \begin{array}{llll} 6\sqrt{17} \end{array}[/tex]
Suppose you are drawing a scaled copy of a triangle with one of the sides measuring 5 centimeters. If
you are using a scale factor of 2, how long will the corresponding side of the scaled copy be?
It will be 10
It will be
cm²
How long will the corresponding side of the scaled copy be if you use a scale factor
ctor of /?
It will be 12-1/2
long.
1³/?
How long will the corresponding side of the scaled copy be if you use a scale factor of
mm²
long.
vlong.
Answers
Answer:
spam
Step-by-step explanation:
spam spam spam
A bookcase is to have 4 shelves including the top as pictured below.
The width is to be 14 feet less than 3 times the height. Find the width and the height if the carpenter expects
to use 28 feet of lumber to make it.
Width:
feet
Height:
feet
Question Help: Video
Answers
Answer:
w= 3 feet
h= 5 feet
Step-by-step explanation:
H=height; W=width=2H-7ft
W=2H-7ft
2H+4W=22ft Substitute for W
2H+4(2H-7ft)=22ft
2H+8H-28ft=22ft Add 28 ft to each side.
10H=50ft
H=5 ft ANSWER 1: The bookshelf is 5 feet high.
W=2H-7ft=2(5ft)-7ft=10ft-7ft=3ft
ANSWER 2: the bookshelf is 3 feet wide.
CHECK:
2H+4W=22ft
2(5ft)+4(3ft)=22ft
10ft+12ft=22ft
22ft=22ft
Hope this helps!
What is the slope of the line represented by the equation y =4/5x-3?
Answers
Answer:
4/5 is the slope of the line
The sales tax in Jorge's state is 7%. Jorge bought a Ford Mustang having a sales tax of $1,928.22. What was the cost of the car?
Answers
The cost of the car is $27,546
How to calculate the cost of the car ?The sales tax is 7%
Jorge bought a ford mustang having a sales tax of $1,928.22
Therefore the cost of the car can be calculated as follows
1928.22÷ 7/100
= 1928.22/0.07
= 27,546
Hence the cost of the car is $27,546
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Parcels contain 6 magazines and 4 books. How many parcels can be made from 290 magazines and books?
Answers
29 parcels can be made from 290 magazines and books
How many parcels can be made from 290 magazines and books?The given parameters are
1 parcel = 6 magazines and 4 books
This can be rewritten as:
1 parcel = 10 magazines and books
For 290 magazines and books, we have
x = 290 magazines and books
This means that
x = 290 magazines and books
1 parcel = 10 magazines and books
Cross multiply
x * 10 = 290 * 1
This gives
x = 29
Hence, 29 parcels can be made from 290 magazines and books
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A surveyor is estimating the distance across a river. The actual distance is 279.8 m. The surveyor's estimate is 300 m.
Find the absolute error and the percent error of the surveyor's estimate. If necessary, round your answers to the nearest tenth.
Absolute Error = ___ m
Percent Error = ___%
Answers
Answer:
Absolute error = 20.2m
% error = 6.73%
Step-by-step explanation:
Absolute error = 300-279.8= 20.2m
% error = 20.2 ÷ 300 = 6.73%
3/4 - 5/8 step by step
Answers
Answer:
1/8
3/4 - 5/8
*2/2
6/8 - 5/8 = 1/8
Step-by-step explanation:
A game of Blackjack or “21” is played with a regular deck of cards. The aim of the game is to have cards that add up to 21. The cards are not replaced to the deck once they have been drawn. If you draw two cards in a row, what is the probability of getting 21, when first card you get is an ace and the second card is a queen?
Answers
The probability of getting 21, when first card is an ace and the second card is a queen = 0.024133.
The term blackjack means that you get a value of 21 with only two cards.
Number of cards in a deck of cards = 52
There are 4 types of cards in a deck of cards - spades, clubs, hearts, and diamonds, out of which spades and clubs are black in colour.
Given that first card is Ace and second one is a Queen.
Odds of getting an Ace are 4/52, odds of the next being Queen is 16/51.
P(blackjack)=4×16/(52/2).
where P is used for probability .
Probability: Probability is simply how likely something is to happen. Whenever we are unsure about the outcome of an event, we can talk about the probabilities of certain outcomes. The analysis of events governed by probability is called statistics.
Probability of getting an ace followed by a queen card: 4/52 * 16/51 = 0.024133.
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Which mixed number is equivalent to the improper fraction?
37
3
O A. 12
OB. 3/1/2
O C. 10
3
OD. 12/
Answers
Answer:
Mixed fractions is equivalent to improper fraction both A and C
A. 12 1/3
C. 10 7/3
Choose the correct statement.
-2 < -3
1 = -1
5 > -6
Answers
The statement 5 > -6 is the correct statement.
In this question, we have been given some mathematical statements.
We need to select the correct statement.
We know that, on the number line , numbers to the right are greater than numbers to the left.
Consider 1st statement
-2 < -3
If we see these numbers on the number line, then -2 is right to -3. This means, -2 is greater than -3.
So, above statement is False.
Consider 2nd statement
1 = -1
If we see these numbers on the number line, then we can observe that both the numbers are not equal.
So, above statement is False.
Consider 3rd statement
5 > -6
If we see these numbers on the number line, then 5 is right to -6. This means, 5 is greater than -6.
So, above statement is True.
Therefore, the statement 5 > -6 is the correct statement.
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A set of three scores consists of the values 3, 7, and 2. Σ2(X – 3) =
Answers
Answer:
6
Step-by-step explanation:
[tex]\sum 2(X-3)=2(3-3)+2(7-3)+2(2-3)=0+8-2=6[/tex]
The average annual wage of workers from a certain country for selected years from 2011 projected through 2021 can be modeled by y= 2286x + 38,620, with y equal to the average annual wage
in dollars and x equal to the number of years after 2010. When does the model project that the average annual wage of workers in the country will be at least $68,400?
Select the correct choice below and fill in the answer box to complete your choice.
(Round to the nearest integer as needed.)
A. in the year
and before
B. in the year
and after
OC. in the year
Answers
The average annual wage of workers in the country will be at least $68400 in the year 2023 and after , the correct option is option (B) .
In the question it is given that
model of the average annual wage (y) = 2286x + 38620 ...(i)
where x = number of years after 2010,
It is also given that the average annual wage(y) must be at least 68,400 .
which means y ≥ 68400
Substituting value of y from equation (i) we get ,
2286x + 38620 ≥ 68400
Simplifying the inequality further we get ,
2286x ≥ 68400 - 38620
2286x ≥ 29780
x ≥ 29780/2286
x ≥ 13.02 ≅ 13
Hence , the average annual wage will more than the specified value from the year, 2010+13 = 2023 .
Therefore , the average annual wage of workers in the country will be at least $68400 in the year 2023 and after , the correct option is option (B) .
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