Answer:
k= 5 over 3 =1.667
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
(3)/(2)-((9)/(10)*k)=0
simplify 9/10
3 9
— - (—— • k) = 0
2 10
simplify 3/2
3 9k
— - —— = 0
2 10
Find the Least Common Multiple
The left denominator is : 2
The right denominator is : 10
Least Common Multiple:
10
Calculate multipliers for the two fractions
Denote the Least Common Multiple by L.C.M
Denote the Left Multiplier by Left_M
Denote the Right Multiplier by Right_M
Denote the Left Deniminator by L_Deno
Denote the Right Multiplier by R_Deno
Left_M = L.C.M / L_Deno = 5
Right_M = L.C.M / R_Deno = 1
Rewrite the two fractions into equivalent fractions
Two fractions are called equivalent if they have the same numeric value.
For example : 1/2 and 2/4 are equivalent, y/(y+1)2 and (y2+y)/(y+1)3 are equivalent as well.
To calculate equivalent fraction , multiply the Numerator of each fraction, by its respective Multiplier.
L. Mult. • L. Num. 3 • 5
—————————————————— = —————
L.C.M 10
R. Mult. • R. Num. 9k
—————————————————— = ——
L.C.M 10
Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
3 • 5 - (9k) 15 - 9k
———————————— = ———————
10 10
Pull out like factors :
15 - 9k = -3 • (3k - 5)
-3 • (3k - 5)
————————————— = 0
10
When a fraction equals zero ...
Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.
Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.
Here's how:
-3•(3k-5)
————————— • 10 = 0 • 10
10
Now, on the left hand side, the 10 cancels out the denominator, while, on the right hand side, zero times anything is still zero.
The equation now takes the shape :
-3 • (3k-5) = 0
Solve : -3 = 0
This equation has no solution.
A a non-zero constant never equals zero.
Solve : 3k-5 = 0
Add 5 to both sides of the equation :
3k = 5
Divide both sides of the equation by 3:
k = 5/3 = 1.667
one solution was found
k = 5/3 = 1.667
hope it helps sry its so long
What is 30 ÷ 2334565
Answer:
In decimal form: 0.0000128503597
Other formats:
In scientific notation: 1.2850357x[tex]10^{-5}[/tex]
Answer:
0.0000128504
Step-by-step explanation:
per mycalculator
30÷2,334,565
In which pair of figures can Figure A be taken to Figure B by a rotatio
Answer:
Step-by-step explanation:
I don’t think you added a picture
A manufacturer contracts to supply ball bearings with diameters between 24.60 millimeters and 25.40 millimeters. Product analysis indicates that the ball bearings manufactured have diameters that are normally distributed with a mean of 25.10 millimeters and a standard deviation of 0.20 millimeters. What percentage of ball bearings fail to satisfy the contract specifications?
Answer:
7.3%
Step-by-step explanation:
to get this percentage, we need to use the z-score calculation;
z-score = (x-mean)/SD
mean = 25.10 , SD = 0.2
For diameter 24.60
z-score = (24.6-25.10)/0.2 = -0.5/0.2 = -2.5
For diameter 25.40
z-score = (25.4-25.1)/0.2 = 1.5
So the proportion that will satisfy the specifications will be;
P(-2.5 < z < 1.5)
At this point, we use the standard normal table
P(-2.5 < z < 1.5) = P (z<1.5) - P (Z < -2.5)
From standard normal table;
P(Z < 1.5) = 0.9332
P(z < -2.5) = 0.0062
P(-2.5 < z < 1.5) = 0.9332 - 0.0062 = 0.927
So the proportion that meets specification = 92.7% ( same as 0.927)
Proportion failing to meet specification = 100- 92.7% = 7.3%
Answer: The percentage of ball bearings fail to satisfy the contract specifaction is 7.3 %.
Step-by-step explanation:
First we need to find the standard score of 24.60 and 25.40. Using Standard Score formula.
[tex]\frac{24.60 - 25.10}{.20} =-2.5\\\\\frac{25.4 - 25.10}{.20}=1.5[/tex]
now we need to find the percentages of these Z scores.
-2.5 = .0062 or 00.62%
1.5 = .9332 or 93.32%
now we subtract these two to get the in between percentage.
.9332 - .0062 = .927 or 92.7% is what doesnt fail to satifsy the contract spefications! But to find what does fail to satisfy we have to subtract it by 100% or 1.
1 - .927 = 0.073
7.3%
Anyone know how to do these?
Answer:
1.4x10^-7
Step-by-step explanation:
For Problem 6
First we would divide the first numbers together so 7.84 / 5.6 = 1.4
We then would add the exponenites together so -3+-4=-7
Leading our awnser to be 1.4x10^-7
A city library checked out 8,393 books last month. The library checked out 1,188 books this month how many books were checked out in two months together
Answer:
9581
Step-by-step explanation:
8393 + 1188 = 9581
i need some help with these
Answer:
1. 6+x
3.x-12
5. a-1
7.z÷8
9.10+x^3
The price of a sweater was reduced from $20 to $12 by what percentage was the price of the sweater reduced
If price of a sweater was reduced from $20 to $12 then the percentage was the price of the sweater reduced is 40%.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Given that the price of a sweater was reduced from $20 to $12.
Original price is 20.
new price is 12.
We have to find the how much percentage was the price of the sweater reduced.
To do this we have to find the difference between prices over the original price and multiply with 100.
Percentage = 20-12/20×100
=8/20×100
=40%
Hence, if price of a sweater was reduced from $20 to $12 then the percentage was the price of the sweater reduced is 40%.
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Find the GCF of the numbers using lists of factors.
27,45
30,48
28,48,64
Answer:
1.) 6
2.)6
3,)4
Step-by-step explanation:
I think these are the gcf of the numbers
just complete h, i, j, k, L pleaseee I'll brainlist (don't forget working out)
Answer:
h) -9
i) 2
j) -8
k) -5
l) 0
Step-by-step explanation:
h) 3(a+bc) = 3(5+4*-2) = 3(5-8) = 3(-3) = -9
i) (2a+b)/7 = (2*5+4)/7 = (10+4)/7 = 14/7 = 2
j) 8(3a-4b) = (8(3*5 - 4*4) = 8(15-16) = 8(-1) = -8
k) (abc-5)/9 = ((5*4*-2)-5)/9 = (-40-5)/9 = -45/9 = -5
l) (b+2c)/(a) = (4 + 2*-2)/(5) = 0/5 = 0
Answer:
h. -9
I. 2
j. -8
k. -5
l. 0
Step-by-step explanation:
h. 3(5+ (4)(-2))
3(5+ -8)
3(-3)
-9
i. (2(5)+(4)) / 7
(10+4) / 7
14 / 7
2
j. 8(3(5) - 4(4))
8(15 - 16)
8(-1)
-8
k. ((5)(4)(-2) - 5) / 9
(-40 - 5) / 9
-45 /9
-5
l. (4 + 2(-2)) / 5
(4 + -4) / 5
0 / 5
0 (since 0 divided by anything is 0)
Write the opposite of 6
Answer:
-6 or negative six in words
OPPOSITE OF A NUMBER IS ALSO KNOWN AS INVERSE
Answer:
-6
Step-by-step explanation:
solve
7p + 8p - 12 = 59
The girls at a student dance outnumbered the boys by 14. Altogether there
were 102 students at the dance. How many boys and how many girls were
present at the dance? Define two variables and then set up two equations. Solve
using either substitution or elimination.
Answer:
58 girls
44 boys
Step-by-step explanation:
102 divided by 2= 51 have to divide, 14 divided by 2 = 7
51 - 7= 44
51 + 7= 58
58 + 44= 102
according to my calculations hope i helped ^_^
and also 58 -44= 14 is the difference between them
Are lines m1 and m2 parallel? Explain Yes, because line m1 has a slope of -\frac{5}{2}− 2 5 and m2 has a slope of -2 No, because lines m1 and m2 have the same slope of -\frac{5}{2}− 2 5 No, because line m1 has a slope of -\frac{5}{2}− 2 5 and m2 has a slope of -2 Yes, because lines m1 and m2 have the same slope of -2 Item at position 2 2
Answer:
Yes, because lines m1 and m2 have the same slope of -2
Step-by-step explanation:
For given two lines L1 and L2 with slope m1 and m2 respectively, the condition for the two lines to be parallel is for the two equations to have the same slope. If m1 = m2, the meaning is that the line L1 and L2 are parallel to each other no matter the equation of the lines in question.
The general equation of a line is y = mx+c where;
m is the slope and c is the intercept.
Even though we are not given the equation of both lines, the base line is that for two lines to be parallel to each other, they must have the same slope.
The correct option is therefore "Yes, because lines m1 and m2 have the same slope of -2"
Find the range of f given the domain
= {-2, 0, 5, 9}
Answer:
The range to {-2, 0, 5, 9} is 11
Step-by-step explanation:
Subtract the minimum data value from the maximum data value to find the data range. In this case, the data range is 9 − − 2 = 11 .
11
I hope this helps
Last August, the Martin family paid 75 for home owners association fee in February,they paid 54 what is the percent of decrease
Answer:
21% decrease
Step-by-step explanation:
just took 75 _ 54 and came up with 21 and juat added the % to it
Write 49 as a product of two primes.
Answer:
49 = 7 x 7
Step-by-step explanation:
if we factor out 49 into its prime factors, we will get
49 = 7 x 7
(this is the answer)
Alternatively, we can recall from our multiplication tables that 49 = 7² = 7 x 7 (which gives the same answer)
Answer:
7² or 7x7
Explanation:
The prime is any number that can only be divided by itself or by one. One is not a cousin. The only prime pair is 2, all the others are unpaireds.
7/7 = 1. 7/1 = 7
7x7 = 49 or
7² = 49.
Other examples;
9 = 3²
25 = 5²
y= |x-2| +3 identify the vertex, axis of symmetry, and transformation from the parent function f(x)=|x|
Answer:
vertex (-6,0) axis of symetry x= -6
Step-by-step explanation:
Which set of ordered pairs represents y as a function of x?
Group of answer choices
{(0, 0), (1, 1), (1, 0), (2, 1)}
{(2, -1), (4, -2), (6, -3), (8, -4)}
{(1, -5), (1, 5), (2, -10), (2, -15)}
{(3, 3), (3, 4), (4, 3), (4, 4)}
{(2, -1), (4, -2), (6, -3), (8, -4)}
In this relation, each point has a unique x coordinate. None of the x coordinates repeat themselves.
For something like choice A, we have x = 1 repeated. The input x = 1 leads to multiple outputs (y = 1 and y = 0 simultaneously).
The same situation happens in choice C also. This time x = 1 and x = 2 repeat themselves.
Choice D has x = 3 and x = 4 repeat themselves.
A function is only possible if each x input leads to exactly one y output.
Are these ratios proportional ?
1/4 and 5/20 yes or no
Please help! I’m so stressed I’ll give 25 points I just need this
Answer:
yes
Step-by-step explanation:
if you simplify 5/20 it is 1/4
Answer:
yes
Step-by-step explanation:
I need help Question 2 (1 point)
Answer:
12 units
Step-by-step explanation:
Each side of the triangle is 1 unit. When putting 10 triangles together in figure 10, there will be 12 sides on the perimeter. Therefore, your answer is 12 units.
Write the equation of the line slope-intercept form that is parallel to y=-2x-9 and contains (4,-3)
A. y=-2x-11
B. y=-2x+5
C. y=-2x+11
D. y=-2x-11
Answer:
a
Step-by-step explanation:
During a period of extreme cold, the average daily temperature dropped decreased by 1. Feach day. How many days did it take for the temperature to
decrease by 9 F? Which equation would you use to find the solution?
Answer:
The answer is 9 days
Step-by-step explanation:
First, we realise
-1.F = 1 day
-9.F = 9 days
The -1.F times 9 gives us one so the days times 9 as well.
Answer = 9
rename the number 600,000
Answer:
if you're talking about renaming it in word form it would be a six hundred- thousand or is you're doing it in an equation its gonna be (6x10) x (10x1000)
Step-by-step explanation:
Which equation describes the line with a slope of 2 that contains the point (-4,-4)
Answer:
2x-y=-4
Step-by-step explanation:
(y-y1) = m(x-x1)
m = 2
x1 = -4
y1 = -4
(y+4)=2(x+4)
y+4=2x+8
2x-y+4=0
can somebody help me please ?
Answer:
ik that angle one would be the same as 3 and 2 and 4 are also the same so if u find an answer for 2 or 4 they would be the same but is there like a total of the entire thing
Answer:
Angle 1 = 72 degrees
Angle 2 = 110 degrees
Angle 4 = 110 degrees
Step-by-step explanation:
Use angle rules.
Angle 2 + angle 3 = 180, because they supplementary angles. Therefore, to find angle 2, you can do 180 - 72 = 110 degrees.
Angle 1 and angle 3 are vertical angles, meaning they are equal. Thus, angle 1 = 72 degrees.
Angle 2 and 4 are vertical angles, meaning they are equal. Thus, angle 4 = 110 degrees.
What is the slope of the line that contains the points (-3, 2) and (-3, 5)?
Answer:
The slope is Undefined
Step-by-step explanation:
Use the slope formula to find the slope m .
Answer:
Slope = Undifine
7 + ✓-25 what is the answer pls
Answer:
7 + 5i
Step-by-step explanation:
What is the square root of 25? Start by thinking about that.
Well, it's 5.
But because the 25 isn't positive, it's negative.
The square is 5i.
Then, you get 7 + 5i.
That can't be simplified any more, so that's your final equation.
PLEASE HELP ON THESE 2
Rosita earned $325 for working 25 hours last week. What is her hourly rate?
Answer:
13
Step-by-step explanation: 325/25=13
The hourly working rate of Rosita is equal to $325.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that Rosita earned $325 for working 25 hours last week. The hourly rate will be calculated as,
To calculate the hourly rate divide the total earnings by the working hours.
Rate = 325 / 25
Rate = $13
The rate is $13 per hour.
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Help Please! Solve For X In The Diagram.
Answer:
[tex] \boxed{x = 11.}[/tex]
Step-by-step explanation:
[tex]180 - (7x - 7) + 50 + (x + 9) = 180 \to sum \: of \: angles\\ - 7x + 7+ 50 + x + 9 =0 \\ 6x = 66 \\ x = \frac{66}{6} \\ x = 11.[/tex]
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