. Solve the rational equation x+6 / 3 − x+8 / 5 = 0.
Answer:
x= -3
Step-by-step explanation:
[tex] \frac{x + 6}{3} - \frac{x + 8}{5} = 0[/tex]
Multiply both sides by 15 (LCM of 3 and 5):
[tex] \frac{15(x + 6)}{3} - \frac{15(x + 8)}{5} = 0[/tex]
5(x +6) -3(x +8)= 0
Expand:
5x +30 -3x -24= 0
2x +6= 0
-6 on both sides:
2x= -6
x= -6 ÷2
x= -3
Three-fourths of the 8th graders at Kingston
Middle School went on the class trip. If 252
students went on the trip, how many 8th
graders are there?
sAnswer:189 students
Step-by-step explanation:
The area of a circle is 2
square meters. Determine
the radius.
[tex]\text{Area of circle} = \pi r^2\\\\\implies 2 = \pi r^2\\\\\implies r^2 = \dfrac 2{\pi}\\\\\\\implies r = \sqrt{ \dfrac 2{\pi}} = 0.798~ \text{m.}[/tex]
Answer:
r≈.8m
Step-by-step explanation:
Formula used
A=πr2
r=√a/π =√2/π ≈.79788
rounded it is .8m
How do I divide using "partial remainders"?
Step-by-step explanation:
When the modulus is ∞, the result is equal to the value in ST(0). Otherwise, C2 is set, and the result in ST(0) is called the partial remainder. The exponent of the partial remainder will be less than the exponent of the original dividend by at least 32. Using partial remainders, dividing multiples of 4 from 46 until you can't divide anymore. You can't divide anymore because 2 is less than 4. So, 2 is the remainder.
Does anyone know how to solve this?
The answer is B but can anyone explain it please
Answer: sorry no
Step-by-step explanation: sorry i dont want to explain it.
8 grade math part 2 help me
Answer:
287
Step-by-step explanation:
Reflex angle:
an angle greater than 180° and less than 360°
360-73=287
Answer each part. If necessary, round your answers to the nearest hundredth. (a) A color printer prints 9 pages in 3 minutes. How many pages does it print per minute? | pages per minute (b) At Hoffman's Bike Rentals, it costs $37 to rent a bike for 7 hours. How many hours of bike use does a customer get per dollar? hours per dollar
Answer:
Q1: 3 pages per minute
Step-by-step explanation:
time = 3 minutes
pages = 9 pages
answer = 9 divided by 3 = 3
Answer:
3 pages per minute
1 hour per $5.29
Step-by-step explanation:
9÷3= 3
37÷7= 5.29
someone help me with my assignments
Answer: Choice A
Step-by-step explanation: You are given the inequality g is less than or equal to. Greater/less than and equal to, you use solid circle. Greater/less than, you use open circle. From there, you just look at the inequality in which direction is it going at and from there, you should be able to select your choice which happens to be the first one.
I hope this explanation helps.
Best to you!
how many seconds are there in 3 minute By the process
Answer:
Step-by-step explanation:
You can easily convert 3 minutes into seconds using each unit definition:
Minutes
minute = 60 s = 60 s
Seconds
1 s
= 1 sec / 60 = 0.01667 min
With this information, you can calculate the quantity of seconds 3 minutes is equal to.
In 3 min there are 180 s.
Which is the same to say that 3 minutes is 180 seconds.
plssssssssssssssssssssss help me i will mark you the brainlyest Graph.
y= –34x–1
Answer:
the x-axis is 0,1
the y -axis is -1, - 35
sorry if im rong
Step-by-step explanation:
Answer:
look at explanation
Step-by-step explanation:
the first thing to do when graphing is to look at your y coordinate, the last number without a variable behind it. this would be (-1).
mark -1 on your graph, which should be one slot to the left of zero.
the slope (the number with the variable behind it) can be read as rise/run. turn -34 into a fraction by simply putting it over 1. this will give you -34/1.
your rise in this case would be -34, which means from -1, go down 34 slots and put a nother dot. your run(denominator in fraction) is where you move horizontally. since the run is 1, move over 1 spot from where your last dot is and that is your final plot. connect the first dot you made tot he third dot you made and you have officially graphed it.
Select all equations that do NOT have a solution.
A 8x + 4x = 0
B 6x + 2 = 4x + 2 + 2x
C 4x – 8x – 3 = 6 – 4x
D 5x + 1 = 1 – 5x
E 12x – 3 – 5x = 9 + 7x – 6
Answer:
C and E are the answers:)
Step-by-step explanation:
Hope this helps!
Answer- C,D, and E
If you plug in any number for those proplems you will get a different number a each side
PLZ HURRY IT'S URGENT!!!
What is the value of x? Leave answer in **simplest radical form.***
options:
4
4√3
8
8√3
2 + 2 = ?
1 + 1 = ?
6 - 3 = ?
Answer:
4
2
3
Step-by-step explanation:
Answer:
4
2
3
Step-by-step explanation:
2+2=4
1+1=2
6-3=3
welcomeeee:)
1.) If you are dividing 1.7 by 8.5, how many places to the right will you need to move the decimal point in the divisor and dividend? a.) 1 b.) 2 c.) 3 d.) 0 2.) Find the quotient of 50 divided by 0.1. a.) 0.5 b.) 5 c.) 50 d.) 500 3.) In the division problem 0.86 ÷ 0.02, What would be the new dividend once you move the decimal as needed? a.) 8.6 b.86 c.) 43 d.) .2 4.) 6.9 divided by .3 is . a.) 2.3 b.) 23 c.) .23 d.) 123 5.) When 75.64 is divided by 0.61, the quotient is . a.) 124 b.) 125 c.) 134 d.) 126 6.) 7.26 ÷ 0.22 = N a.) 33 b.) 0.33 c.) 0.31 d.) 0.35 7.) 5.12 ÷ 0.10=n a.) 51.2 b.) 5.12 c.) 512 8.) Glen bought 0.75 meter of pink ribbon, which she will cut into 0.25meter strips for her Project in EPP. How many pieces did she make? a.) 3 b.) 4 c.) 5 d.) 6 9.) A bottle of medicine contains 27.5 ounces. I take 1.65 ounces each dose. How many doses are in th bottle? a.) 16.67 doses b.) 16 doses c.) 61 doses d.) 66 doses 10.) If Pathy earns Php256.25 for gardening. If she worked 20.5 hours this month, then how much did she earn per hour? a.) Php 12.5 b.) Php 125.00 c.) Php 25.00 d.) Php1.25 11.) 5.26 times 10 is . 12.) a.) 52.6 b.) 5.26 c.) .526 Divide 59 ÷ 7. Round off the answer to two places of decimals. d.) 5,260 a.) 8.44 b.) 8.53 c.) 8.43 d.) 8.42 13.) Which of the following mathematical equation has a quotient of 6.78? a.) 61÷ 7 b.) 61÷9 c.) 6.1÷ 9 d.) 9 ÷ 61 14.) How many 7 does 86 has? a.) 12 b.) 13 c.) 11 d.) 10 15.) What would be the remainder if you divide 59 by 9? a.) 3 b.) 5 c.) 6 d.) 1 16.) When the divisor is bigger than the dividend,the quotient is . a.) decimal in form b.) whole number c.) zero d. one 17.) 4÷9 = n a.) 0.4 b.) 0.5 c.) 0.6 d.) 07 18.) Which mathematical sentence below has a quotient of never ending decimal? a.) 24 ÷ 27 b.) 25 ÷ 25 c.) 1 ÷ 5 d.) 100 ÷ 500
All the answers to the given fraction problems are;
1) A; 1
2) D: 500
3) B: 86
4) B: 23
5) A: 124
6) A: 33
7) A: 51.2
8) A: 3
9) A: 16.67 doses
10) A: Php 12.5
11) A: 52.6
12) C: 8.43
13) B: 61 ÷ 9
14) A: 12
15) B: 5
16) A: decimal form
17) A: 0.44
18) A: 24 ÷ 27
1) 1.7 ÷ 8.5
We need to change them to whole numbers by shifting the decimal points one place to the right to get; (17/85)
2) 50 ÷ 0.1
Shift decimal one place to the right to get;
500/1
Quotient = 500
3) 0.86 ÷ 0.02
The dividend is usually the numerator. Let us shift both numerator and denominator by two decimal places to the right to get; 86 ÷ 2
Thus, new dividend = 86
4) 6.9 ÷ 0.3
Move decimal points one place to the right to get;
69 ÷ 3 = 23
5) 75.64 ÷ 0.61
Move decimal points two places to the right to get;
7564 ÷ 61
Numerator written as a factor of denominator gives;
(124 × 61)/61
Quotient = 124
6) 7.26 ÷ 0.22
Move decimal points two places to the right to get;
726/22
Numerator written as a factor of denominator gives;
(33 × 22)/22 = 33
7) 5.12 ÷ 0.10
Move decimal points two places to the right to get;
512/10 = 51.2
8) A 0.75 m pink ribbon was cut into 0.25 m strips. Thus;
Number of pieces = 0.75/0.25
Move both decimals 2 places to the right to get;
75/25 = 3 pieces
9) A bottle contains 27.5 ounces
You take 1.65 ounces for each dose.
Number of doses per bottle = 27.5/1.65
Move decimal points two places to the right; 2750/165
Number of doses per bottle = 16.67 doses
10) She earned Php256.25 for gardening.
She worked 20.5 hours the month.
Amount earned per hour = 256.25/20.5
move decimal places two points to the right to get;
Amount earned per hour = Php 12.5
11) 5.26 times 10
move decimal place two points to the right to get;
(526 × 1/100) × 10 = 52.6
12) 59 ÷ 7
Nearest multiple of 7 to 59 is 8.
Thus, 59 ÷ 7 = 8³/₇
⇒ 8.43
13) The one that gives a quotient of 6.78 is;
61 ÷ 9
14) How many 7 does 86 have?
This is; 86 ÷ 7
Nearest multiple of 7 to 86 is 84 which is 12 × 7
Thus, there are 12 numbers of 7 in 86.
15) Remainder if you divide 59 by 9
Nearest multiple of 9 to 59 is 54 which is 9 × 6.
Remainder = 59 - 54 = 5
16) When divisor is bigger than the dividend, it means the denominator is bigger than the numerator and so the quotient is an improper fraction which is a decimal.
17) 4 ÷ 9 = 0.444
Approximating to one decimal place = 0.4
18) The correct mathematical sentence with never ending decimal is;
24 ÷ 27
Read more on simplifying fractions at; https://brainly.com/question/6109670
Stuck on this, need help on this.
Answer:
Domain: (-∞ , ∞)
Range: y <= 8 [8 , -∞)
Step-by-step explanation:
x = 2
f(x) = 8
x<=2
f(x) <=8
Sally can paint a room in 4 hours while it takes Steve 7 hours to paint the same room. How long would it take them to paint the room if they worked together?
Answer:
3 hours
Step-by-step explanation:
7hours - 4hours
hope it helped
pls give me brainliest
Is it possible to have a bounded feasible region that does not optimize an objective function?
It is not possible to have a bounded feasible region that does not optimize an objective function.
What is the feasible region?The viable zone is the common area that the linear programming problem's constraints all dictate.
There is an optimum value of the objective function if the feasible region is bounded and the function attains its optimum values at the extremes of the feasible region.
Hence, it is not possible to have a bounded feasible region that does not optimize an objective function.
Learn more about the feasible region:
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Which is the solution to the inequality?
Y+ 15 < 3
A. y <-12
B. y >-12
C. y <18
D. y> 18
Answer: A
Step-by-step explanation:
Subtract 12 from both sides:
y + 15 - 15 < 3 - 15
Simplify:
y < -12
What is equivalent to 56 − 7 + ( 26 − 4 ) ÷ 2
Answer:
60
Step-by-step explanation:
56-7+22÷2
56-7+11
67-7=60
hope it helps thanks
QUICK! (100 POINTS) Answers All of this question fast i beg yall
Answer:
5: 4
6: 20
7: $3.20
8: 92
9: 22
10: $11.60
Step-by-step explanation:
6. remove 3 from 83, you will have 80 and then divide by 4 = 20 students in a class.
7. Subtract 8.80 from 24.80, you will get 16 dollars. Do 16 ÷ 5 = 3.2 as the cost of each pencil.
9. 94- 6 = 88 so, 88 ÷ 4 = 22.
10. 13.40 -7.60 = 5.8 as his weekly allowance.
I hope it helps.
(b) A sum of money was to be shared among three friends Keisha, Tracey, and Kerry-Ann, in the
ratio 7:9:11 respectively. If Kerry-Ann received $3,300.00, find the sum of money that was
between the three friends.
The sum of money that was shared between the three friends is $8100
The ratio at which the money was shared = 7 : 9 : 11
Total ratio = 7 + 9 + 11
Total ratio = 27
Amount received by Kerry-Ann = $3300
Let the total amount shared by the three friends be T
Amount received by Kerry-Ann = (11/27) x T
3300 = 11T / 27
11T = 27(3300)
11T = 89100
T = 89100/11
T = 8100
The sum of money that was shared between the three friends is $8100
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A vase held flowers 1/2 is the flowers were roses and 1/4 of those flowers were red what fraction where red roses?
Jason stands in the corner of a very large field. He walks, on a bearing of 030°,
a distance of d metres. Jason then changes direction and walks twice as far on a new
bearing of 120°. At the end of the walk Jason calculates both the distance he must
walk and the bearing required to return to his original position. Given that the total
distance walked is 120 metres, what answers will Jason get if he is correct?
Answer:
Step-by-step explanation:
d + 2d = 120
3d = 120
d = 40 m
east distance was 40cos30 + 80cos120 = -5.35898 m
north distance was 40sin30 + 80sin120 = 89.282032
as 30° and 120° bearings are 90° apart, Jason needs to walk
D = √(d² + (2d)²) = d√5 or 40√5 meters or about 89.44 m to return to his original position.
we could also use √(-5.35898² + 89.282032²) = 89.44 m
direction will be
θ = arctan -89.28/5.359 = -86.565° or a bearing of 273.4°
4. Solve the equation using square roots.
x2 + 10 = 9
Answer:
+1/-1
Step-by-step explanation:
assuming the original phrase is x^2
x^2 + 10 = 9
x^2 = 1
x = +/- 1
CAN SOMEONE TELL ME IF I CLICKED THE RIGHT AWNSER PLEASE
Answer:
yes your absolutely right
Step-by-step explanation:
you just are
Please help solve for a in the equation in the photo
[tex]\huge\bf Question:—[/tex]
[tex] \sf \longmapsto \: g=a(4− {d}^{2} )[/tex]
[tex]\huge\bf Solution:—[/tex]
[tex] \underline{\bf \: Flip \: the \: equation:—}[/tex]
[tex] \sf \longmapsto \: −a {d}^{2} +4a=g[/tex]
[tex] \underline{\bf \: Factor \: out \: variable \: (a):—}[/tex]
[tex] \sf \longmapsto \: a(− {d}^{2} +4)=g[/tex]
[tex]\underline{ \bf \: Divide \: both \: sides \: by -d^2+4 :—} [/tex]
[tex]\sf \longmapsto \: \dfrac{a( - {d}^{2} + 4) }{ { - d ^2+ 4}^{} } = \dfrac{g}{{ - d ^2+ 4}^{}} [/tex]
[tex]\sf \longmapsto \:1 a = \dfrac{g}{{ - d^2 + 4}^{}} [/tex]
[tex]\underline{\bf Answer:—}[/tex]
[tex]\boxed{ \bf \: a = \dfrac{g}{ - d^2 + {4}^{} } }[/tex]
Answer:
[tex]\boxed{\boxed{\sf a=\cfrac{G}{4-d^2} }}[/tex]
Step-by-step explanation:
[tex]\sf G=a(4-d^2)[/tex]
Use the Distributive Property to multiply a by (4-d^2):
[tex]\sf G=4a-ad^2[/tex]
Now, we'll swap sides so that all variable terms are on the left hand side.
[tex]\sf 4a-ad^2=G[/tex]
Combine like terms:
[tex]\sf (4-d^2)\:a =G[/tex]
Divide both sides by 4-d^2:
[tex]\sf \cfrac{(4-d^2)a}{4-d^2} =\cfrac{G}{4-d^2}[/tex]
Dividing by 4-d^2 undoes the multiplication by 4-d^2.
[tex]\sf a=\cfrac{G}{4-d^2}[/tex]
_______________________________________
[6x(5-3)+9]-5 with step by step
Answer: 10
Step-by-step explanation: [30-24+9]=15-5=10
The answer after calculation the given expression using PEDMAS rule: [6x(5-3)+9]-5 is 16.
What is the answer using PEDMAS?The given expression, [6x(5-3)+9]-5, can be simplified using the order of operations, also known as PEDMAS P – Parenthesis First: B – Brackets First
E – Exponents
D – Division
M – Multiplication
A – Addition
S – Subtraction
First, we evaluate the expression inside the bracket: 5-3, which equals 2. Substituting this result back into the expression, we have [6x2+9]-5.
For the next step, we perform the multiplication operation. Multiplying 6 by 2 gives us 12. Now our expression becomes [12+9]-5.
Moving on to addition, we add 12 and 9, resulting in 21. Our expression now becomes [21]-5.
Finally, we subtract 5 from 21, which gives us 16. Thus, the value of the expression [6x(5-3)+9]-5 is 16.
Read more about PEDMAS here: https://brainly.com/question/345677
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Solve: 6 − x = −12
helpppppppppppp quickkk
Answer:
x = 18
Step-by-step explanation:
6 − x = −12
subtract 6 from both sides
- x = - 18
divide both sides by -1
x = 18
Answer:
x=18
Step-by-step explanation:
6 - x = -12
-6 -6
----------------
-x = -18
*divide by -1*
x = 18
hope this helps! :D
have a MIRACULOUS day!! <3
Ignore the blue circles but please help solve! PLSS
Answer:
y = 47, -25 , 15 , -33 -9
Step-by-step explanation:
You have to plug the x variables into your equation, then solve for y.
Brainliest would be appreciated! :-)
Sheila is making accessories for the soccer team. She uses 559.24 inches of fabric on headbands for 28 players and 3 coaches. She also uses 271.04 inches of fabric on wristbands for just the players. How much fabric was used on a headband and wristband for each player?
Answer:
27.72 inches of fabric
Step-by-step explanation:
28+3=31
Fabric used on each player:559.24÷31=18.04
271.04÷28=9.68
18.04+9.68=27.72