If A:B = 5:18 and B:C = 6:4, form the ratio A:B:C
Answer:
5 : 18 : 12
Step-by-step explanation:
Express the ratio B : C in fractional form, that is
[tex]\frac{B}{C}[/tex] = [tex]\frac{6}{4}[/tex] ( cross- multiply )
6C = 4B ( divide both sides by 6 )
C = [tex]\frac{4}{6}[/tex] B = [tex]\frac{2}{3}[/tex] B , then
C = [tex]\frac{2}{3}[/tex] × 18 = 2 × 6 = 12
Hence
A : B : C = 5 : 18 : 12
Answer:
5:18:12
Step-by-step explanation:
5:18
_:6:4 --> since you multiply 6 by 3 to get 18, multiply 4 by three to get the A:B:C ratio.
5:18:12
Please show your work for this question
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[tex]4 \times {9}^{2x} = 42[/tex]
Divide sides by 4
[tex] \frac{4 \times {9}^{2x} }{4} = \frac{42}{4} \\ [/tex]
[tex] {9}^{2x} = \frac{2 \times 21}{2 \times 2} \\ [/tex]
[tex] {9}^{2x} = \frac{21}{2} \\ [/tex]
[tex]( { {9}^{2} })^{x} = \frac{21}{2} \\ [/tex]
[tex]x = log_{ {9}^{2} }( \frac{21}{2} ) \\ [/tex]
[tex]x = \frac{1}{2} log_{9}( \frac{21}{2} ) \\ [/tex]
[tex]x = \frac{1}{2} log_{ {3}^{2} }( \frac{21}{2} ) \\ [/tex]
[tex]x = \frac{1}{2 \times 2} log_{3}( \frac{21}{2} ) \\ [/tex]
[tex]x = \frac{1}{4} log_{3}( \frac{21}{2} ) \\ [/tex]
[tex]x = \frac{1}{4} ( \: \: log_{3}(21) - log_{3}(2) \: \: ) \\ [/tex]
[tex]x = \frac{1}{4} ( \: \: log_{3}(3 \times 7) - log_{3}(2) \: \: ) \\ [/tex]
[tex]x = \frac{1}{4} ( \: \: log_{3}(3) + log_{3}(7) - log_{3}(2) \: \: ) \\ [/tex]
[tex]x = \frac{1}{4} ( \: \: 1 + log_{3}(7) - log_{3}(2) \: \: ) \\ [/tex]
And we're done...
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cuación. 3(x + 2) – 6 = 3x
State if the two triangles are congruent. If they are, state how you know. (AAS, ASA, SAS, SSS, or HL)
Answer:
kn
Step-by-step explanation:
k,n
Rewrite this statement 8 x 2 + 5 = 56
Answer:
8+293#+99393489494
Step-by-step explanation:
what?
Write an addition expression with one positive and one negative number that has a sum of 3.
Answer:
-7+10=3
Step-by-step explanation:
You can go anywhere with this but this is just my answer.
Phillipe exercises on a treadmill 5 days a week. For each session, he warms up by walking for 10 minutes and then runs at a constant speed of 12
kilometers per hour. He cools down by walking for 5 minutes. If Phillipe runs 100 kilometers per week, which statement is true?
O Each treadmill session takes about 9 hours.
O Each treadmill session takes about 3 hours.
O Each treadmill session takes about 2 hours.
Each treadmill session takes about 8 hours.
Answer:
each would take about 8 hours. all youd need to do is divide 100 kilo by 12 because thats how much he runs in one hour. so 100 kilometers per week would take 8.3, which is rounded to ~about~ 8
The true statement is Each treadmill session takes about 2 hours.
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
He runs at a constant speed of 12 kilometers per hour for 5 days per week.
If he runs 100 kilometers per week
So, each day he runs
= 100 /5
= 20 Km
and, he runs 20 Km in
= 20 /12
= 1.666
= 2 hours approximately.
Hence, Each treadmill session takes about 2 hours.
Learn more about unitary method here:
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Yes or no math question
Answer:
a. y
b. n
c. n
d. y
e. y
y-yes
n-no
Step-by-step explanation:
are the two lines parallel, perpendicular, or neither ?
Answer:
Perpendicular
Step-by-step explanation:
the lines are Perpendicular or it can also be parallel
The lines in Graph 1 is neither, graph 2 is parallel, graph 3 is parallel and graph 4 is perpendicular.
What are Parallel Lines?Parallel lines are those straight lines in a plane which will not intersect each other even if we extend the line to infinity.
Perpendicular lines are those lines where the two lines meet a point where the angle between the two lines is 90 degrees.
Graph 1 :
Lines are not parallel because if we extend one line it will meet the other line.
Lines are not perpendicular since the point of intersection will never make the angle between the lines as 90 degrees.
So it is neither parallel nor perpendicular.
Graph 2 :
The two lines will never intersect if we extend the line infinity.
So they are parallel.
Graph 3 :
Again the lines are parallel since they won't intersect at any point.
Graph 4 :
Since both the lines make a 90 degree angle at the point of intersection, they are perpendicular.
Hence the lines are parallel in graph 2 and 3, lines are perpendicular in graph 4 and lines are neither in graph 1.
Learn more about Parallel lines here :
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Lee buys a parcel of land in the shape of a rectangle. It has an area of 1,125 square feet and a width of 25 feet. What is the length of the parcel of land? Show your work.
Answer:
45 feet
Step-by-step explanation:
Area of a rectangle = length × width
Area of the rectangle = 1,125 square feet
Length of the rectangle = x feet
Width of the rectangle = 25 feet.
What is the length of the parcel of land?
Area of a rectangle = length × width
1,125 = x * 25
1,125 = 25x
Divide both sides by 25
x = 1,125 / 25
= 45
x = 45 feet
The length of the parcel of land is 45 feet
What's the greatest number 26 or 5.2
Answer:
26
Step-by-step explanation:
26 is the greatest number because 5.2 is a single digit and has lower value than 26.
26 > 5.2
Hope this helps!
Katarina wrote the standard form of a linear equation as 4x – 4 x minus StartFraction 2 Over 3 EndFraction y equals 8.y = 8. Sofiya told her that the equation was not yet in standard form and gave her the right advice for how to fix it. What advice did Sofiya give to Katarina?
Multiply both sides of the equation by 3. The standard form of the equation is 12x – 2y = 24.
Multiply both sides of the equation by 3 and then divide both sides by 2. The standard form of the equation is 6x – y = 12.
Multiply both sides of the equation by 3. The standard form of the equation is 12x – 2y = 8.
Multiply both sides of the equation by 3 and then divide both sides by 2. The standard form of the equation is 6x – y = 4.
9514 1404 393
Answer:
Multiply both sides of the equation by 3 and then divide both sides by 2. The standard form of the equation is 6x – y = 12.
Step-by-step explanation:
The standard form has mutually prime integer coefficients, with the leading coefficient positive. Clearing Katrarina's fraction of 2/3 can be accomplished by multiplying the equation by 3/2, as Sofiya advised.
The standard form is ...
6x -y = 12
One of these scenarios represents a direct variation and one does not. How can you tell the difference? a) A large pizza with one topping costs $15.50. A large pizza with 4 toppings costs $20. Does the price vary directly with the number of toppings? b) A marathoner ran 5 miles in 40 minutes and 15 miles in 120 minutes. Does the number of minutes vary directly with the number of miles? Your answer:
Answer: See explanation
Step-by-step explanation:
a) A large pizza with one topping costs $15.50. A large pizza with 4 toppings costs $20.
A large pizza with one topping costs $15.50.
Using the formula for direct variation,
y = kx
where,
y = Cost of pizza
x = number of toppings
k = constant of proportionality
15.50 = 1k
k = 15.50
A large pizza with 4 toppings costs $20.
Using y = kx
20 = 4k
k = 20/4
k = 5
Here, the price does not vary directly with the number of toppings because the constant of proportionality is different.
b) A marathoner ran 5 miles in 40 minutes and 15 miles in 120 minutes.
Using y = kx
where,
y = 40
x = 5
y = kx
40 = 5k
k = 40/5
k = 8
Using y = kx
where,
y = 120
x = 15
y = kx
120 = 15k
k = 120/15
k = 8
The number of minutes vary directly with the number of miles. This is because the constant of proportionality is thesame in both cases.
Therefore, the second one(B) represents a direct variation and the first one (A) doesn't.
Samuel orders four DVDs from an online music store. Each DVD costs $10.00. He has a 20% discount code, and sale tax is 6.75%. What is the total cost of his order
Answer:
$34.40
Step-by-step explanation:
this equation has 3 steps
1. to find out how much the dvds cost without any discount or tax: $40
2. the price of the dvds with the 20% discount, which can be found with cross-multiplication making the price after discount $32
3. the final price of the dvds with sales tax can be found also with cross-multiplication and the final answer would be 34.4
Answer:
$34.7
Step-by-step explanation:
40 x 0.0675 to find the tax.
40 x 0.8 to find how much to pay
40 x 0.0675 = 2.7
40 x 0.8 = 32
32 + 2.7 = 34.7
Please help on this thanks
[tex]2(n-2)<3n-6[/tex]
↝ Multiply 2 inside (n-2) as we get 2n-4
[tex]2n-4<3n-6[/tex]
↝ Inequality is almost the same as equation so you just do the same like equation.
[tex]2n-4-3n+6<0\\-n+2<0\\-n<-2[/tex]
↝ Since it's Inequality. When the variable is negative, you have to make it positive.
[tex]n<\frac{-2}{-1}\\n<2[/tex]
↝ BUT! n < 2 isn't the right answer.
↝ Because for Inequality. Taking out the negative/Move the negative variable to another side ( from -n to n and -2 to -2/-1 = 2).
↝ You have to swap the inequality symbol after taking the off the negative variable.
↝ For example, if it is -n < 2 then the answer will be n > -2
or -n < -3 then the answer will be n > 3
But if it is n>2-3 as we get n>-1, not n < -1 because the variable isn't negative at all.
Basically, we swap the inequality symbol when it's negative variable.
↝ Therefore, it's not n < 2 but it is n > 2
So the right choice is n > 2 also known as the ( D ) answer.
Estimate how much MORE water it would take to completely FILL the vase to the top?
Answer:
81πinc^3
Step-by-step explanation:
Volume of glass = π(3)^2(12) = 108πin^3
Volume of water in glass = π(3)^2(3) = 27πin^3
Volume needed to fill completely = 108π - 27π = 81π^3
Topic: Mensuration
If you like to venture further, please give my Instagram page a follow (learntionary). I'll be constantly posting math tips and notes! Thanks!
Question 5 : CONSUMER MATH
Answer:
23.1345 is the answer I am not that sure though
Mr. Jansen opend a savings account with an initial deposit of $720 and will not make any additional deposits or withdrawals. The account earns 1% simple interest. What is the total amount that Mr.Janesen will have in his account at the end of 3 years.
Answer:
C
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
If you
Determine the Slope of Each Tables
Answer:
A) 2
B) -5/2
C) -1
D) 3
Step-by-step explanation:
Hope this helps. Pls give brainliest.
Claire’s bedroom measure’s 16 feet by 18 feet. If the purple carpet that she wants to buy costs $3.59 per square foot, what will it cost to buy new carpet for her bedroom?
Answer:
1033.92
Step-by-step explanation:
I multiplied 16 and 18 to get the area of the room which was 288. Then I multiplied 288 by how much it would cost for one square foot ( 3.59) and got my answer. Sorry if I'm wrong!
Answer:
$1,033.92 I believe
Step-by-step explanation:
you would multiply 16 and 18 then once you get that answer multiply the answer by 3.59
What is the x-intercept of the line?
Answer:
which one is crossing the x axis then you will get your x intercept.
Step-by-step explanation:
Find the missing angle
90
140
130
88
Answer:
130
Step-by-step explanation:
an triangle= 180 degrees so 180-35-90=50 so p is 50 then 180 -50=130
Answer:
Its 130 mate i did this question before at my old school
Step-by-step explanation:
can anyone show their work for this question?
Answer:
let me solve then once i'm done ill put the answer the chat below! :)
Step-by-step explanation:
Casey is deciding which of two landscapers to hire. Each landscaper charges an hourly rate plus a fee for each job. Casey correctly wrote and solved a system of linear equations by substitution. In his work, he substituted an expression for one variable and solved for the other. This resulted in the equation 5 = 20. What can Casey conclude? One landscaper charges $20 for 5 hours of work. One landscaper’s hourly rate is $15 lower than the other landscaper’s. Both landscapers charge the same hourly rate and the same fee per job. Both landscapers charge the same hourly rate, but not the same fee per job.
Answer:
Both landscapers charge the same hourly rate, but not the same fee per job.
Step-by-step explanation:
Answer:
Both landscapers charge the same hourly rate, but not the same fee per job.
Step-by-step explanation:
I took the test and got it correct
What is 33.153 rounded to the nearest tenth?
Answer:
33.15 that is the answer
Answer: 30
Step-by-step explanation: anything below 5 rounds down to 30, 40,50,60,ect. anything 5 and up rounds to the next number 40,50,60,70,ect.
Please help ill give brainliest and 20 points (when I can) 2) The ratio 35 : 84 in simplest form is: *
10 points
5 : 7
7 : 12
5 : 12
None of These
Answer:
None Of The Above
Step-by-step explanation:
Its 7/17
PLEASE ANSWER THIS ASAP !!!!
Answer:
y = (1/2)x + 2
Step-by-step explanation:
Find the slope:
Take the rise over run to find this- For every unit it goes up, it goes two units across, so it will be (1/2)
Find the y-intercept:
This is the value of y where the line intersects the y-axis- (0,2), so 2
Substitute these values in for m and b:
y = mx + b
y = (1/2)x + 2
Hope that helps! :)
Ethan has some money in his savings account when he starts his new job as a Jimmy John's delivery guy. After starting, he decides to save the same amount from his paycheck each month. After 3 months, Ethan has 560 dollars in his savings, and after 6 months, he has 920 dollars. Find an equation that gives the amount saved ("y") after "x" months.
Answer:
y = 360x+200
Step-by-step explanation:
We will use the concept of finding the equation of a line using two coordinates (x1,y1) and (x2,y2)
If after 3 months, ethan has 560 dollars in his savings, and after 6 months, he has 920 dollars, this can be represented as coordinate points (3,560) and (6,920)
The equation of a line in point slope form is expressed as;
y = mx+c
m is the slope = ∆y/∆x = 920-560/6-3
m = 360/3
m = 120
Get the intercept;
Substitute m = 120 and any of the points to get c, using the point (3,560)
x = 3, y = 560
560 = 120(3)+c
560 = 360+c
c = 560-360
c = 200
Get the required equation by substituting m and c into y = MX+c
y = 360x+200
If a=6 and b=24 what is (a+b) b is squared
Answer:
the correct answer is 582
Answer:
582
Step-by-step explanation:
B²= base×base
The base is 24
24 ×24 = 576
When you add 6 to 576 you get 582.
I hope this is correct. Sorry if it is wrong.
when h is 2, is the following statement true: 6h + 9 < 20
Answer:
False
Step-by-step explanation:
12+9<20
21≮20
False