This is about absolute value inequalities.
The set of possible values of x that make the statement true are; x = {-2, -1, 0, 1}
Let the number in the question be x.We are told that when it is multiplied by 3 and 1 added to it, it is between - 8 and 7. This means it is greater than -8 but less than 7.
Thus;
3x + 1 > -8 - - - (eq 1)
3x + 1 < 7 - - - (eq 2)
Let's find range of x from eq 1;3x + 1 > -8
Subtract 1 from both sides to get;
3x > -9
x > -9/3
x > -3
Similarly, let's find the range of x from eq 2;3x + 1 < 7
Subtract 1 from both sides to get;
3x < 7 - 1
3x < 6
x < 6/3
x < 2
Thus, we can write that;
-3 < x < 2
Thus, the set of possible values of x are; x = {-2, -1, 0, 1}
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The cost of a pair of shoes was reduced from $60 to $45.
By what percent did the cost of the pair of shoes decrease?
A 2.5%
B 25%
C 30%
D 35%
Answer:
B. 25%
Step-by-step explanation:
25 percent of 60 would be 15, then if you subtract 15 from 60, you end up with 45, meaning that 25 percent was subtracted.
The percentage is the ratio of change with respect to the original thus cost of a pair of shoes has been reduced by 25% thus option (B) will be correct.
What is the percentage?The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.
The initial cost of a pair of shoes = $60
Final cost of a pair of shoes = $45
Change in cost = 60 - 45 = 15
The percentage change = change / initial value
Percentage = 15/60
⇒ 0.25 × 100 = 25%
Hence "The cost of a pair of shoes has been reduced by 25%".
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Which expression uses the associative property to make it easier to evaluate
8(1/4 x 3/5)?
A. (8 x 5/3) 1/4
B. 4(1/8 x 3/5)
C. 8(3/5 x 1/4)
D. (8 x 1/4)3/4
Answer: D
Step-by-step explanation:
Using associative property, [tex]8(\frac{1}{4}*\frac{3}{5}) \\[/tex] can be evaluated as 6/5 = 1.2.
What is associative property?The associative property states that the sum or the product of three or more numbers does not change if they are grouped in a different way.
(A × B) × C = A × (B × C).
[tex]=8(\frac{1}{4}*\frac{3}{5}) \\\\=(8*\frac{1}{4}) *\frac{3}{5}\\ \\ = 2* \frac{3}{5} = \frac{6}{5} = 1.2[/tex]
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Without multiplying, determine the sign of the product (−247,634) × (183,758).
PLEASE I WILL MARK BRAINLIEST
Answer:
16 times
Step-by-step explanation:
i could give an explanation if needed
Money that is collecting interest in a bank account doubles in value every 8
years.
When the account was opened, it had 8, or 23 dollars in it. After 32 years, the
account balance has doubled 4 times, increasing by a factor of 24,
It now has a balance of 23. 24. Expressed as a power, how much money, in
dollars, is in the account after 32 years?
A. 24
d
B. 27
C. 212
D. 47
Answer:
2 to the power of 7
Step-by-step explanation:
add the powers when it is multiplication
In the diagram g|| h, m<1=(4x+36) and m<2=(3x-3)
What is the measure of <3
Answer:
60°
Step-by-step explanation:
Since g||h the sum of angle 1 and angle 2 must be equal to 180
4x + 36 + 3x - 3 = 180
7x + 33 = 180
7x = 147
x = 21
The sum of angle 1 and angle 3 is equal to 180 because they are complementary angles
m<1 = 4x + 36 ➡ 4 × 21 + 36 = 120° so angle 3 = 60°
2.72981366 rounded to nearest hundredth
Answer:
I would say 2.73 or 2.72 l can never remember which it is
Step-by-step explanation:
Sorry if it’s wrong!!!
Answer:
2.73
Step-by-step explanation:
What is the solution of a - 3 = -7
Answer:
-4
Step-by-step explanation:
take -3 to other side or add 3 to both sides
So, a=-7+3
=-4
Turner's bookshelf has 6 shelves. Each shelf has 17 books. How many books are on the bookshelf?
Answer:
102 books
Step-by-step explanation:
Answer:
102 Books
Step-by-step explanation:
Multiply 6 by 17
$39.70 + 6% tax equals????
Answer:
39.70 + 6 equals, (45.7)
Step-by-step explanation:
By simply adding them is how you get your answer.
Each big square below represents one whole.
Answer:
[tex]51.5%[/tex]%
Step-by-step explanation:
We can see that each big square is made up of 10 x 10 = 100 small squares.
And we have one whole big square, plus 3 small squares shaded.
So we have 103 shaded squares out of 200.
Therefore percentage is [tex]103 / 200 * 100[/tex] = [tex]51.5%[/tex]%
Answer:
103%
Step-by-step explanation:
if you have 1 100 shaded thats 100% and the 3 on the other representes 3% so 100 plus 3 equals 103
If M
the m
А
B
D.
С
E
Bre works 12 hour shifts 3 days a week and makes $25.64 per hour. How much does Bre make in 1 week?
Answer:
923.04 $
Step-by-step explanation:
1 hour: 25.64 $
36 hour: x
x=36×25.64
x=923.04$
Answer:
Bre makes $923.04 in one week.
Step-by-step explanation:
First you have to multiply the 12 hours and the $25.64
25.64x12=307.68 Then if that equals $307.68 then Bre makes $307.68
in on day so then you take $307.68 and multiply it with the 3 days
307.68x3=923.04 So that equals $923.04 then Bre makes $923.04
a week. For (maybe) an easier way to figure this out you can just multiply
12 and 3 first 12x3=36 then you can multiply $25.64 and 36. 25.64x36=923.04 and you will still get the same answer.
Hope this helps:).
Have a nice day:).
Plz mark me brainliest:).
P.S. What kind of job is Bre working that she make almost a thousand dollars
in three days lol.
Dan’s number is three times more than Michael’s. The sum of their numbers is 48. What are their numbers?
Answer:
michael's number is 12, therefore Dan's is 36.
Step-by-step explanation:
48= michael's number+ 3 times Michael's number
48= m+3m
48= 4m
48÷4= 12 = michael's number
since Dan's is 3 times Michael's, his number is 36.
Answer: Michale's number is 12 and Dan's is 36
Step-by-step explanation:
Using ratios you can create 3:1 which is Dan's ratio to Michale.
You add 3 and 1, which gives you 4.
Divide 48 by 4, which gives you 12.
Michale's part of the ratio is 12 as he has three times less than Dan.
Which concludes that Dan has 36 and Michale has 12.
The owner of Sandy’s Boat House advertises the cost to rent a canoe is $15 per hour for trips on the Red Cedar River. He is also willing to adjust the $15 per hour if a customer rents for only a part of an hour.
The manager suggests another deal for customers. She uses the equation cmanager = 0.15t + 2.50 to find the charge c in dollars for renting a canoe for t minutes.
Which option would you choose, the manager’s equation or the owner’s cost of $15 per hour? Explain.
Answer:
1 dollar
Step-by-step explanation:
If he charges 15 dollars an hour for a canoe, that means that if she rents for 0.15 hours she pays 1 dollar. Hope this helps :)
Last year the original prices of Emma's and Sophie's phones were $560 and $640. Now the prices reduced in ratios 7:6 and 4:3 respectively. What is the difference of the current prices?
The circumference of a circle can be found using the formula C = 2tr.
Answer:
r = c/2pi
Step-by-step explanation:
Heather bought a shirt on sale for 45% off the regular price of $22.60. What was the sale price of the shirt not including tax?
Hi! I believe your answer is $10.17 because 45% of 22.60 is 10.17. I hope this helps you! Good luck and have a great day. ❤️ (Stream "Heather" by Conan Gray!)
Solve the system of equations
y= 2x + 3
y = x - 5
Answer:
This might be the answer- x=−8 y=−13
Step-by-step explanation:
Answer:
x = 2.66 repeating or 2[tex]\frac{2}{3}[/tex]
Step-by-step explanation:
substitute y for x - 5
y = 2x + 3
x - 5 = 2x + 3
subtract 3 from both sides of the equation
x - 5 - 3 = 2x
x - 8 = 2x
subtract x from both sides of the equation
-8 = 2x - x
-8 = -3x
divide both sides of the equation by -3
-8/-3 = x
2.66 repeating = x
4/7+2/3=??
Please explain to :)
Answer: 1 5/21
Step-by-step explanation: change 4/7 into 12/21 and 2/3 into 14/21. Now that you have a common denominator, add the numerators. 26/21. Simplify into 1 5/21
I need help really quickly with this one!
Answer: A (y = 1)
Step-by-step explanation:
when dividing, dividing by 0 equals an undefined fraction, therefore, if y was equal to 1, it would cancel out the y - 1, making it 0. I hope that's right :0
5(r-10)=51 what is r equal to?
Answer:
r=20.2
Step-by-step explanation:
is 0.83 equal to 83/100
Answer:
Yes.
Step-by-step explanation:
83/100=0.83 : )
Answer:
Yes
Step-by-step explanation:
0.83 means that it's out of 100, if it was 1.0 that means that it would be 100, a full number.
83/100 means that it's out of 100 as well. If it were to be a whole number it would be 100/100
At the start of a soccer game, the referee flips a coin to determine which team gets the ball first. The referee making
the calls for your upcoming game has seen the last 5 coin flips come up tails. The team captain plans to call heads
during the coin flip because he says it is long overdue.
Is your friend's reasoning correct?
O Yes, the coin flip is more likely to come up heads in order for the probability of heads to get back to 0.5.
No, it is highly unlikely to get 5 tails in a row by chance alone, so the friend should continue to go with tails. This
referee must be using an unfair coin.
O No, the probability of getting heads or tails is 0.5, regardless of the outcomes of the previous flips.
Yes, after so many tails in a row, the coin is due to show heads.
Answer: The answer is C on Edge 2020
Step-by-step explanation:
Answer:
(C) No, the probability of getting heads or tails is 0.5, regardless of the outcomes of the previous flips.
Is correct
ED2021
10 5/18 - 8 5/6
plzzzzzz helpppppp
Answer:
-5/9
Step-by-step explanation:
Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.
(518×11)−(56×33)=?
Complete the multiplication and the equation becomes
518−1518=?
The two fractions now have like denominators so you can subtract the numerators.
Then:
5−1518=−1018
This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 10 and 18 using
GCF(10,18) = 2
−10÷218÷2=−59
Therefore:
518−56=−59
Tasha started her homework at 3:45 pm she spent an hour and 20 minutes completing her homework. What time did she finish her homework
What is the weight in pounds of the tank, as in the above case, if the tank itself weighs 20 lbs per ft of height? A. 63,424 lbs B. 42,241 lbs C. 16,151 lbs D. 10,605 lbs.
use point slope form to write an equation of the line with the given slope that passes through the given point.
Answer:
A. y - 0 = 2 ( x + 2 )
Step-by-step explanation:
First you have to isolate y, by using A, the 0 can simply be forgotten about. Next, you must expand the equation, thus with 2 ( x + 2 ), it expands to:
y = 2x + 4
With this in mind, the b value is 4, and with a slope of 2, you can see that the equation eventually crosses the y-axis at 4.
A waterfall is n times the height of its picture on a postcard.
Which equation represents the height, y, of the waterfall if
the picture is 6 cm tall?
A y = 6+n
y = 6+n
y = 6n
y=n-6
Answer: y=6n
Step-by-step explanation:
A plane took 1 hour and 10 minutes to fly from Riyadh to Jeddah.
The plane arrived in Jeddah at 23 05.
At what time did the plane depart from Riyadh?
Answer:
21:55
Step-by-step explanation:
First u have to take 23:05 and subtract 10 minutes which gives u 22:55 then u have to subtract a 1 hour that will give you 21:55 as your answer.