Answer:
A rational number is a number that can be put in the form p / q where p and q are integers.
3 and 17 are integers
3 / 17 is rational
A scientist needs 10 liters of a 20% acid solution for an experiment, but she only has a 5% solution and a 40% solution. To the nearest tenth of a liter, about how many liters of the 5% and 40% solutions should she mix to get the solution she needs?
9514 1404 393
Answer:
4.3 L of 40% solution5.7 L of 5% solutionStep-by-step explanation:
Let x represent the number of liters of 40% solution in the mix. Then the total amount of acid in the mix is ...
0.40x +0.05(10-x) = 0.20(10)
0.35x +0.5 = 2.0
0.35x = 1.5
x = 1.5/0.35 ≈ 4.3 . . . . liters of 40% solution
10-x = 10 -4.3 = 5.7 . . .liters of 5% solution
Compare these data sets. The equation of the trend line
is listed below each data set.
LS
HR
w
200 93
158 94
149 66
146 81
138 86
137 75
131 61
116 69
103 55
y = 0.39x + 20.23
R
W
808 93
768 94
655 66
684 81
637 86
619 75
613 61
609 69
563 55
y = 0.15x-23.2
Which statements are true about these data sets?
Check all that apply.
Both sets have negative correlation.
Both sets have positive correlation.
There is no correlation between the sets.
The Runs set has a greater rate of change than the
Home Runs set.
The Home Runs set has a greater rate of change
than the Runs set.
Done
Intro
Answer:
The answer is B&E
Step-by-step explanation:
(e is the last one i made a mistake so yea :)
Answer:
the correct answers are B and E.
Step-by-step explanation:
B) Both sets have positive correlation.
E) The Home Runs set has a greater rate of change than the Runs set.
~you're welcome~which is the greatest among root 2, 3 root 4 and 4 root 3?
Answer:
4^1/3 is greatest among the given
Step-by-step explanation:
√2 , 4^1/3 , 3^1/4
Find the LCM of 2, 3 , 4= 12
i ) √2 =2^1/2 = 2^6/12=(2^6)^1/12
= (64)^1/12
ii ) 4^1/3 = 4^4/12 = (4^4)^1/12
= (256)1/12
iii )3^1/4 = 3^3/12 = ( 3³ )^1/12
= (27)^1/12
Therefore ,
(256)^1/12 > (64)^1/12 > (27)^1/12
4^1/3 > 2^1/2 > 3^1/4
4^1/3 is greatest among the given
number
2) Use the elimination method to solve for x and y.
equation 1: -x/3 - y/6 = -4
equation 2: -x/6 + y/2 = -9
solve for y _____
solve for x _____
Answer:
1: 2x + y = 24
2: x - 3y = 54
Step-by-step explanation:
Answer:
[tex] y = - 3. \\ x = - 13.5[/tex]
Step-by-step explanation:
[tex]equation 1: -x/3 - y/6 = -4 \: \: = - \frac{x}{3} - \frac{y}{6} = - 4 \\ \\
equation 2: -x/6 + y/2 = -9 \: \: = - \frac{x}{6} + \frac{y}{2} = - 9 \\ \\ - \frac{x}{3} - \frac{y}{6} = - 4 \\ - 6x - 3y = - 72 ...(eq3.) \\ \\ - \frac{x}{6} + \frac{y}{2} = - 9 \\ - 2x + 6y = - 9...(eq4.) \\ \\ \\ 2 \times - 6x - 3y = - 72 ...(eq3.) = > - 6y = -1 44 \\6 \times - 2x + 6y = - 9...(eq4.)= > - 36y = -54 \\ - 6y - ( - 36y) = - 144 - ( - 54) \\ 30y = - 90 \\ y = - \frac{90}{30} \\ y = - 3. \\ x = - 13.5
[/tex]
What is the prime factorization of 312
A.) 2 x 2 x 2 x 3 x 13
B.) 2 x 2 x 3 x 51
C.) 2 x 2 x 3 x 3 x 17
D.) 2 x 2 x 2 x 9 x 51
Answer:
A.) 2 x 2 x 2 x 3 x 13
Step-by-step explanation:
here is the factor tree for 312
Hope this helps! :)
What is true about the measure of angle B?
It is twice the measure of angle A.
It is twice the measure of angle C.
It is equal to the measure of angle A.
It is equal to the measure of angle C.
Answer:
A
Step-by-step explanation:
sometimes we can determine a missing angle because we know that the sum must be a certain value... remember...the sum of the degree measure of angles in any triangle equals 180 degrees.below is a pict.of triangle ABC. where angle .A =60 degrees, angle.B=50 degrees and angle.C =70 degrees
Answer:
It is twice the measure of Angle A.
The midpoint M of GH has coordinates (7,6). Point H has coordinates (8, 7). Find the
coordinates of point G.
Write the coordinates as decimals or integers.
Determine whether the relation is a function.
H={(6,-3), (5,-3), (4,-3), (3,-3), (2,-3)}
Does the given relation represent a function?
Yes
No
Answer:
Yes
Step-by-step explanation:
In a function, an x value can never repeat. This is basically the only rule (that I know of), so, the given values can represent a function.
What is the unit cost per bottle if a pack of 6 bottles of juice sells for $4.80?
Answer:
4.8/6 = $0.80
Answer:
0.80
JKJKJKJKJKJ
a-b-c=9, solve for a
Answer:
d
Step-by-step explanation:
Answer: a = 9 +b + c
Steps: a - b - c = 9
Subtract -b and -c from both sides: a - b - c - (-b -c) = 9 - (-b -c)
Simplify: a = 9 +b + c
Plz mark brainliest:)
12 ÷ –2 = PLEASE HELP ME I NEED HELP FAST
Answer:
-6
Step-by-step explanation:
Answer:
-6
Step-by-step explanation:
If Kiontre reads 100 pages in 5 days, how many pages does he read in 1 day?
Answer: 20 pages
Step-by-step explanation: 100/5 is 20
Answer:
20 pages
Step-by-step explanation:
Help i dont understand this
Answer:
b
Step-by-step explanation:
PLEASE HELP PLEASE LIKE NOWWW!!!!!! Which set of numbers is ordered from greatest to smallest?
A
11 2
38 %,
20' 5,0.6
B. O 0.6
11 2
205
38 %
CO
0.6,
2 11
5' 20
38 %
D
38 %
2 11
5. 20
0.6
Answer:
reword your question i cant read it
Step-by-step explanation:
5x + 6y =200
Solve the equation
Answer:
x=40-6/5y
Step-by-step explanation:
5x=200-6y
x=40-6/5y
tres amigos reunieron su dinero para comprar un boleto de 250.00 para una rifa. Lui aporto 50.00, Jaime 125.00 y Rosa 75.00, tuvieron suerte y ganaron un premio de 200.00 entre todos decidieron que las cantidades que les corresponde fueran proporcionales a lo que dieron para comprar el boleto. Cuanto recibió cada uno?
Answer:
asd
Step-by-step explanation:
N/8=3/4 what is the n?
Step-by-step explanation:
n/8=3/4
n=3×8/4
n=24/4
n=6
Help me plz!!!!!!!!!!!!!!!
Answer:
$2.40
Step-by-step explanation:
sales tax = 30 * .08 = $2.40
A rectangle has a width of x + 2 and a length of 2x - 1, with an area of 42 inches squared. Find the perimeter of the rectangle
Answer:
26 inches
Step-by-step explanation:
Area of rectangle
= length ×width
= (2x -1)(x +2)
= 2x(x) +2(2x) -1(x) -2 (expand)
= 2x² +4x -x -2
= 2x² +3x -2
Given that the area is 42 inches squared,
2x² +3x -2= 42
2x² +3x -2 -42= 0 (-42 on both sides)
2x² +3x -44= 0 (simplify)
(x -4)(2x +11)= 0 (factorise)
x -4= 0 or 2x +11= 0
x= 4 or 2x= -11
x= -11/2 (*reject)
Length of rectangle
= 2(4) -1
= 8 -1
= 7 inches
Width of rectangle
= 4 +2
= 6 inches
Perimeter of rectangle
= 2(width +length)
= 2(7 +6)
= 2(13)
= 26 inches
*We reject x= -11/2 because the length and the width of the rectangle would be a negative number, which is not possible.
Please help this is due today. I will give brainliest
Answer46789
Step-by-step explanation:
Answer:
35 40 45 50
Step-by-step explanation:
0 minutes is 35 cause of the monthly bill then naxt is 40 because the bill but plus 100 minutes so add five just keep adding five
HELP !!! A survey was conducted in a super store to study the monthly turnover in the number of clients
This survey revealed that:
• During the first month 5000 clients made their purchases from the store
• Each month 30% of the clients of the preceding month stopped to make their purchases from their
store and 1800 new clients joined the remaining clients of this store.
Denote Un the number of clients that make their purchases during the nth month
Let Un+1 = 0.7Un + 1800
1) Find U1 , U2 and U3
2) Show that the sequence Un is neither arithmetic nor geometric
3) Let the sequence (Vn) be denoted by Vn= 6000 – Un. Prove that Vn is a geometric sequence, whose
common ratio and 1st term are to be determined.
4) Calculate S = V1 + V2 + ….. + V6
5) Calculate Vn in terms of n
6) Deduce Un in terms of n
Answer:
this is a lot
Step-by-step explanation:
Answer:
Ja kmsazt zaednaie
Step-by-step explanation:
what is y = |x + 4| − 8 reflected over the y axis then translated 2 units down
Answer: y = |x - 4| − 10
Step-by-step explanation: Reflection over the y-axis switched the first sign and -2 was added to -8 due to the translation 2 units down.
Hope this helps!
What is the answer?
Answer:
A is parallel to B
Step-by-step explanation:
This means that the two lines will never touch
Write the equation of the line that is perpendicular to the line y=(-1/5)x+9 and passes through the point (-2,-2)
Answer:
y = 5x + 8
Step-by-step explanation:
Recall that if two lines are perpendicular, their slopes are negative reciprocals of one another. Thus, given y = (-1/5)x + 9, the slope of any perpendicular is
-1
m = --------- = 5
(-1/5)
Starting out with the slope-intercept equation y = mx + b, we get:
-2 = 5(-2) + C, or C = 8
Thus, the desired equation is
y = 5x + 8
The equation of the line that is perpendicular to the given line is y=5x+8.
Given that, the equation of line y=(-1/5)x+9 and passes through the point (-2,-2).
What is slope of an equation?The slope formula is used to calculate the inclination or steepness of a line. It finds application in determining the slope of any line by finding the ratio of the change in the y-axis to the change in the x-axis.
If m is the slope of a line, then the slope of a line perpendicular to it is -1/m.
Now, slope =-1/5
-1/m = 5
Put m=5 and the point (-2, -2) in y=mx+c and simplify
That is, -2=5(-2)+c
⇒c=8
Substitute m=5 and c=8 in y=mx+c, we get y=5x+8
Therefore, the equation of the line that is perpendicular to the given line is y=5x+8.
To learn more about the slope visit:
https://brainly.com/question/12861818.
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solve for x in the literal equation −14 = xy + z.
List the domain and range of each function (1,-4),(2,-3),(3,-2),(4,-1)
Answer:
Domain are all x values
Range are all y values
Domain:(1,2,3,4)
Range:(-4,-3,-2,-1)
The lengths of two coasters are the ratio 3:20. The length of the short roller coaster Is 360m. What is the length of the longer roller coaster? Give your answer in kilometres
Answer:
2400KM hope this helps sorry if im
wrong
im not good with ratios and unit conversion
Which of the following properly describe "slope"? Select all that apply.
2279
Y
run / rise
rise / run
ratio of the change in y-values (rise) for a segment of the graph to the corresponding change in x-values (run)
Answer:
The answer is A, D, and E. The first answer and then the last two.
Step-by-step explanation:
The first answer and then the last two.
Which of following BEST defines climate?
Answer:
climate is the weather in a part of the world.
Answer:
Try C: Average weather conditions of a region over the long term
Hope this helps!
Which equation represents a line which is parallel to the line 7x-5y=-30?
Answer:
Y=7/5x+8
Is the answer to question don't ask me how I know I cheated
The equation y = 7x/5 + b represents a line which is parallel to the line 7x-5y=-30.
What is a slope?In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction.
We have an equation,
7x-5y=-30
Simplifying,
y = 7x/5 + 30/5
y = 7x/5 + 6.
The general formula of line parallel to a given line is,
y = 7x/5 + b, where b is the y-intercept of the line.
Therefore, y = 7x/5 + b is the required line.
To learn more about the slope;
brainly.com/question/3605446
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