An absolute value equation to satisfy the given solution set shown on a number line is -1/2 ≤ a ≤ 1/2.
What is magnitude and sign?A number has both magnitude(its absolute value) and its sign(positive or negative).
Thus, for -5, the magnitude is 5, and sign is –ve.
Also, positive numbers > 0 > negative numbers.
In the number line we can clearly see that our possible values of a are in the range:
-1/2 ≤ a ≤ 1/2
And we need to find an absolute value equation such that this set is the set of possible solutions.
An example can be:
Ia - 1/2I ≤ 1/2
Notice; using the minor and equal sign, this is because the black dots means that the values a = -1/2 and a = 1/2 are included, if the dots were empty dots, it would be an open set and we should use the < > signs.
Learn more about this concept;
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Somebody please solve this ASAP! Nobody answer saying I don't know or how was your day and what not- If you know the answer please provide how you solved this! I want to understand this problem..
Answer:
40%
Step-by-step explanation:
Her monthly paycheck was 120 dollars, because thats how much she earned that month. If she saved 48 dollars, then the percentage of the paycheck she saved is the percent of 120 that is 48 dollars, or 48/120. Simplifying, we have 2/5, (because you can divide both the top and the bottom by 24), and 2/5 is equal to 40%
Dr. McGee saw 1,007 patients this year, which is 90% higher than the number he saw
last year. How many patients did Dr. McGee see last year?
Please help! Will put Brainiest!
Answer:
107 patients
Step-by-step explanation:
This year Dr. McGee had 1007 patients act like this is 100%. 10% of 1007 is 107 and since there was a 90% increase 107 is the answer
(PLEASE HELPP) The number of 6th graders in RSM summer camp to that of 7th graders was 4 to 11, while the number of 5th graders to that of the 6th graders was 13 to 9. By what percent did the number of 7th graders exceed that of the number of 5th and 6th graders taken together ?
Answer:
The number of 7th graders exceed that of the number of 5th and 6th graders taken together by 5.88%.
Step-by-step explanation:
I am going to say that:
x is the proportion of 5th graders.
y is the proportion of 6th graders.
z is the proportion of 7th graders.
The number of 6th graders in RSM summer camp to that of 7th graders was 4 to 11
This means that:
\frac{y}{z} = \frac{4}{11}
z
y
=
11
4
So
11y = 4z11y=4z
y = \frac{4z}{11}y=
11
4z
The number of 5th graders to that of the 6th graders was 13 to 9.
This means that:
\frac{x}{y} = \frac{13}{9}
y
x
=
9
13
9x = 13y9x=13y
x = \frac{13y}{9}x=
9
13y
All of them is 100%
This means that:
x + y + z = 1x+y+z=1
We need to find z.
y = \frac{4z}{11}y=
11
4z
x = \frac{13y}{9} = \frac{13*4z}{9*11} = \frac{52z}{99}x=
9
13y
=
9∗11
13∗4z
=
99
52z
Then
x + y + z = 1x+y+z=1
\frac{52z}{99} + \frac{4z}{11} + z = 1
99
52z
+
11
4z
+z=1
The lcm(least common multiple) between 11 and 99 is 99. Then
\frac{52z + 9*4z + 99z}{99} = 1
99
52z+9∗4z+99z
=1
187z = 99187z=99
z = \frac{99}{187}z=
187
99
z = 0.5294z=0.5294
By what percent did the number of 7th graders exceed that of the number of 5th and 6th graders taken together ?
z(7th graders) is 52.94%.
x + y(5th and 6th graders) is 100 - 52.94 = 47.06%
52.94 - 47.06 = 5.88
The number of 7th graders exceed that of the number of 5th and 6th graders taken together by 5.88%.
Stella paid $75 to eat at a fancy restaurant. If she tips her waiter 20%, what is her total bill?
Answer:
Her total bill is $90
Choose the mixed number that is equivalent to this decimal.
3.242424…
A)3 8/33
B)3 12/25
C)3 1/4
D)3 1/5
Answer:
B
Step-by-step explanation:
I think this is the answer
Pls help me understand this problem
Rick paints a circular table that has a diameter of 16. What is the area of the table?
Answer:
The area of a circle is πr^2
π = 3.142
so the answer is 3.142 × 8^2 = 201.088
That's what I got
Select the expressions that are equivalent to 5(6a).
Answer:
A
Not B
Not C
Not D
Step-by-step explanation:
Answer:first one
Step-by-step explanation:
Owen earned some money at a summer job. He saved 1/4 of the money and spent 1/3 of the rest on a t-shirt. He then spent the remaining money on downloading some songs. 1.What fraction of the money did he spend on the downloads?
2. If the t-shirt cost 20$, how much money did Owen earn at the summer job?
He saved 1/4 of the money
3/4 (remaining money lets call it RM)
*answers question 1 * Since he spent 1/3 of the RM on shirt we need to subtract 3/4 (our RM) by 1/3
3/4 - 1/3 = 5/12
the remaining money he spent of downloads is 5/12 of the total money he earned.
He spent 1/3 of the R on a $20 dollar T-shirt, and if $20 is 1/3 of the remaining money then that means that he had 60 dollars he has not saved. (20 x 3 = 60)
*answers question 2* if $60 is 3/4 of the total money he earned then he earned a total of $80 dollars from his summer job.
60/3 = 20
60 + 20 = 80
Hope I HELPED :>
A diving board is 12 feet above the ground. The bottom of the pool is 16 feet below the ground. Write and solve an equation that gives the distance from the diving board to the bottom of the pool.
Answer:
28 ft
Step-by-step explanation:
since we're trying to find the distance between them you have to add 12 and 16 to get 28 and it tells how many feet the distance is between the bottom of the pool and the diving board
Answer:
28 feet
Step-by-step explanation:
To find the distance between them, add 12 and 16 to get 28, it tells how many feet the distance is between the bottom of the pool and the diving board.
Draw an example of a line with a consistent slope (nonvertical straight line). Add 2 slope triangles and provide their slopes to prove your answer.
NO LINKS
Answer:
these question are hard to draw on but there is points for you (0,4) and (7,4)
Please help ASAP I will give brainliest!!
Answer:
Step-by-step explanation:
Label the equations in number 5-7 as True or False:
(7^1)^9= 7^5 x 7^5
y^13/(y^2)^6=y^-10x y^9
b^4xb^-6=b^1xb^3/b^6
Answer:
[tex]{ \rm{ {(7}^{1}) ^{9 } = 7 {}^{5} \times {7}^{5} : \: { \tt{ \red{false}}} }} \\{ \boxed{ \mathfrak{correction \dashrightarrow \: ( {7}^{1}) {}^{9} = {7}^{9} }}} \\ \\ { \rm{ \frac{ {y}^{13} }{ {( {y}^{2}) }^{6} } = {y}^{ - 10} \times {y}^{9} : \:{ \tt { \red{false}}}}} \\ { \boxed{ \mathfrak{correction \: \dashrightarrow \: { \rm{{y}^{1} }}}}} \\ \\ { \rm{ {b}^{4} \times {b}^{ - 6} = \frac{ {b}^{1} \times {b}^{3} }{ {b}^{6} } }} \: : \: { \tt{ \green{true}}}[/tex]
Calvin digs a hole at a steady rate of 1(1)/(3) feet every hour.
Consider ground level to be 0 .
What value represents the elevation of the hole relative to ground level after digging for 2(1)/(2) hours?
Enter your answer as a simplified mixed number in the box.
Answer:
3 1/3 feet
Step-by-step explanation:
Ok so, he digs 1 1/3 feet every hour. And we're trying to find out how much he digs in 2.5 hours. We can simply multiply 1 1/3*2.5 giving us 3 1/3 feet.
Hope this helps :)
ISSS THISSSSSS RIIGHTTTTTT
Answer:
It's A and C
Step-by-step explanation:
when you multiply by a fraction it's the same as dividing it by 2 or 4 in this case. which would make A and C much less and B and D.
your answer would be A and C
A.) 1/4 × 6,766 = 1,691.5
C.) 1/2 × 6,766 = 3,383
Is using the associative property of addition a good strategy for simplifying (4/3 + 2/3) + 2? Why or why not?
Answer:
Easy way
Step-by-step explanation:
(4/3 + 2/3) + 2
= 2 + 2
=4
Oviously (4/3 + 2/3) is directly 2.
HELP ME PWEAS
Jacob sells homemade skateboard decks for a profit of $27 per deck. He is considering switching to a new type of material that will increase his profit, as expressed by the function y = 32x, where x is the number sold and y is the amount of profit.
How many more dollars will Jacob earn on each skateboard deck if he switches to the new material? Explain how you found your answer. (5 points)
Answer:in your equation it says (y=32x) which 32 will mean how much he is charging for each skateboard, x will be how many he sells, and y would be how much he makes from selling them. So if he sold 2 skateboards you would do
Step-by-step explanation:
Morgan has an 8 1/2 foot board that must be cut into boards that are feet long. How many of the smaller boards can he get from the 8 1/2 foot board?
Which of the following equations could you use to solve the problem?
x * 8 1/2 = 5/6
8 1/2 * x = 5/6
5/6 * 8 1/2 = x
8 1/2 / 5/6 = x
Answer:
8 1/2 / 5/6 = xStep-by-step explanation:
8 1/2 foot board to be cut into 5/6 feet boards.
Number of smaller boards is:
8 1/2 ÷ 5/6 = 17/2 ÷ 5/6 = 17/2 × 6/5 = 51 / 5 = 10 (the whole part)Correct equation is D
Hi, I need help. These are one-step equations.
Hello! :p
1. question: -7x = 63 Answer: x = -9
2. question: x + 8 = -15 Answer: x = -23
3. question: 2/3x = 27 Answer: exact form: x = 81/2 decimal form: x = 40.5 Mixed number form: x = 40 1/2
4. question: x/9 = 5 Answer: x = 45
5.question: x + 2.6 = 1.7 Answer: x = -0.9
6.question: -8x = -56 Answer: x = 7
Hope this helps! Have a wonderful day! :)
Good morning and night. Can anyone help me on this question?
I'm stuck on this question for khan that I need to master.
Answer:
X = Y x 3
Step-by-step explanation:
In the table, we can look at 5 and 15 as well as 11 and 33 and easilly tell that it has a correlation of tripling the number. To check our answer, all we must do is 8 1/3 x 3 and end up with 25
Answer:
→ y = 3x because 15 divided by 5 equals 3, 25 divided by 8 1/3 equals 3 and 33 divided by 11 equal 33 ( I hope you have a good day or night! and I also hope you get you homework correct as well:))))).
T-T help, i do not understand functions....
1. (blank)% of 50 shirts is 35 shirts?
2. 4% of (blank) days is 56 days?
3. 80% of (blank) games is 32 games?
4. 75% of (blank) peaches is 15 peaches?
5. at a shelter, 15% of the dogs are puppies, there are 60 dogs at the shelter how many are puppies?
ik that was a lot but please help!
Pls help me on this
Answer:500
Step-by-step explanation:So first u mutiply by 100 then divide by 90
An arts academy requires there to be 4 teachers for every 76 students and 3 tutors for every 27 students. How many students does the academy have per teacher? Per tutor? How many tutors does the academy need if it has 54 students?
Answer:
The answer is 19 students per tescher
Step-by-step explanation:
76 ÷ 4 =19
This one i number 7…..
Answer:
i dont know if im right but i think that its C
Step-by-step explanation:
Use a model to solve 13 x 4/9 . Leave your answer as an improper fraction.
Sarah babysits her neighbor's son to make money. Her earnings can be represented by the equation
M = 9h
where M is the money she earns and h is the hours she babysits.
Samara babysits her cousin to make money. Her earnings can be represented by the graph.
Which babysitter earns more money per hour?
Answer:
Sarah makes more money.
Step-by-step explanation:
Sarah get $9 for 1hr of babysitting, but according to the chart Samara get only $3 for 1hr of babysitting.
Rick is setting up a model train track that is 5 5/6
feet long. No telephone pole is needed at the start of the track. However, along the track, he places a telephone pole
every
5/12
foot apart. How many telephone poles does he need? (Input number values only)
Answer:
to understand this we will turn 5 5/6 into a inproper fraction 5 can be turned into 60/12 and 5/6 can be turned into 10/12 so this is equal to 70/12.
5 5/6=70/12
in 70 there are 14 pairs of 5's, 14x5=70
this means that he will need 14 telephone pole's
Because of demand, concert tickets that normally sell for 89.99 each are marked up 20%, If Mark wishes to purchase 8 tickets, how much will he pay in total?
20 points will be given
Answer:$863.92
Step-by-step explanation:20% of 89.99 is 18
89.99x8=719.92
18×8=144
719.92+144=
863.92
Answer:
he will pay 864 dollars in total
Step-by-step explanation:
first we have to find 20% of 90 (i just rounded 89.99 to 90).
20% = 1/5, and 1/5 in decimal form is 0.20. (you can find the decimal value by multiplying the numerator and denominator by 10/10 and then simplifying it)
0.20 * 90 is 18, so we then add that to 90 making 108.
next, since Mark is buying 8 tickets, we multiply 108 by 8, giving us 864
therefore, 864 is our final answer
The following table shows the number of visitors to Yellowstone National Park from 2000 to 2006.
What was the percent of change in the number of tourists between 2000 and 2001?
Answer:
About 90% of visitors at the Yellowstone National Park was changed from 2000 to 2001.
Step-by-step explanation:
Answer:
5,596,759
Step-by-step explanation:
The the answer is five million, five hundred ninety-six thousand, seven hundred fifty-nine
Please help me-
1yd 1 ft = _____ yd
Answer:
1 yard and 1 foot = 1 1/12 yards
Step-by-step explanation:
