Answer:
5/3
Step-by-step explanation:
30/t = 18/r
Multiplying by r both sides,
30*r /t = 18
Dividing by 30 both sides,
r/t = 18/30 = 3/5
So, t/r = 5/3
9514 1404 393
Answer:
t/r = 5/3
Step-by-step explanation:
Every proportion can be written 4 ways. I like to think of them as "upside down and sideways." They are ...
[tex]\dfrac{30}{t}=\dfrac{18}{r}\qquad\dfrac{t}{30}=\dfrac{r}{18}\\\\\dfrac{30}{18}=\dfrac{t}{r}\qquad\dfrac{18}{30}=\dfrac{r}{t}[/tex]
__
Knowing this, you can simply rewrite your proportion as ...
t/r = 30/18
t/r = 5/3
_____
More formally, you could multiply both sides by t/18:
(30/t)(t/18) = (18/r)(t/18)
30/18 = t/r . . . . as above
Reducing the fraction gives ...
t/r = 5/3
__
Additional comments
The usually-recommended procedure for solving something like this is to "cross-multiply" as a first step. That will give ...
30r = 18t
Of course, that is equivalent to multiplying both sides by rt, the product of the denominators.
From here, to get t/r, you need to divide both sides by 18r.
(30r)/(18r) = (18t)/(18r)
30/18 = t/r
The combination of the two steps, multiply by rt, divide by 18r, is equivalent to multiplying by (rt)/(18r) = t/18, as we did above. That is, you can save some work by doing both steps at once--or by simply rewriting the proportion.
Transform each of the following into a quadratic equantion in the form ax +bx + c = 0
x(x+5)=2
Answer:
x² + 5x - 2 = 0
Step-by-step explanation:
The standard form of a quadratic equation is ax² + bx + c = 0 (a ≠ 0 )
Given
x(x + 5) = 2 ← distribute left side
x² + 5x = 2 ( subtract 2 from both sides )
x² + 5x - 2 = 0 ← in standard form
In a certain board game a 12 sided number cube showing numbers 1-12 is rolled. If 3 such number cubes are rolled, what is the probability that at least 1 show as a 2?
Answer:
0.2297453
Step-by-step explanation:
Given that :
Total faces of = 12 labeled 1 - 12
Probability of showing a 2 ;
P = required outcome / Total possible outcomes
P(showing a 2) = 1 /12
Hence, probability of not showing a 2 ;
P(showing a 2)' = 1 - 1/2 = 11/12
Probability that atleast one of 3 cubes shows a 2 :
1 - P(none of the cubes shows a 2)
P(none of the cubes shows a 2) =
(11/12 * 11/12 * 11/12) = 0.7702546
1 - 0.7702546 = 0.2297453
This question is based on the probability. Therefore, the probability that at least 1 show as a 2 is 0.22974 if 3 such number cubes are rolled.
Given:
In a certain board game a 12 sided number cube showing numbers 1-12 is rolled.
We need to determined the probability that at least 1 show as a 2, if 3 such number cubes are rolled.
It is given that total faces of = 12 labeled 1 - 12
Now calculating probability of showing a two ;
[tex]Probability = \dfrac{ Required\, outcome }{Total\, possible \,outcomes}[/tex]
[tex]Probability\, of\, showing\,a \,two=\dfrac{1}{12}[/tex]
Hence, probability of not showing a 2 is,
[tex]Probability\, of\, not\,showing\,a \,two=1-\dfrac{1}{12}[/tex]
Now, calculating probability that at least one of 3 cubes shows as a 2 =
1 - P(none of the cubes shows a 2)
[tex]P(none\, of\, the\, cubes\, shows\, a \,2) = \dfrac{11}{12} \times \dfrac{11}{12} \times \dfrac{11}{12} \\\\P(none\, of\, the\, cubes\, shows\, a \,2)=\dfrac{1331}{1728} = 0.770[/tex]
Probability that at least one of 3 cubes shows as a 2 = 1 - 0.770 = 0.22974
Therefore, the probability that at least 1 show as a 2 is 0.22974 if 3 such number cubes are rolled.
For more details, prefer this link:
https://brainly.com/question/11234923
distance formula from the origin?
Step-by-step explanation:
I'm not entirely sure what you mean by "from the origin", but hopefully this helps.
The distance formula for a Cartesian coordinate system (your standard x-y graph) is [tex]d=\sqrt{(x1-x2)^{2}+(y2-y1)^{2}}[/tex].
If you're measuring "from the origin", that just means one of your points is (0,0).
For example, if you were to measure between the origin and the point (1,4) your formula would look like this:
[tex]d=\sqrt{0-1)^{2}+(0-4)^{2}}\\d=\sqrt{(-1)^{2}+(-4)^{2}} \\d=\sqrt{1+16} \\d=\sqrt{17}[/tex]
So, the distance between the origin and (1,4) is [tex]\sqrt{17}[/tex].
I hope this helps! Please let me know if you have any other questions!
A collection of 76 dimes and quarters is worth $13.90. How many of each coin are there?
maraina made 36 cupcakes in 45 mins how long would it take to make 108 cupcakes
Answer:
135 mins/2hr 15min
Step-by-step explanation:
108 divided by 3=36 so 45 multiplied by 3 which equals 135 please pick brainliest.
What is the LCM of 54 and 32 pls help
Answer:
the LCM is 864
Step-by-step explanation:
The least common multiple (LCM) of two or more non-zero whole numbers is the smallest whole number that is divisible by each of those numbers. In other words, the LCM is the smallest number that all of the numbers divide into evenly.
How many quarters are in a jar of quarters worth $9.75?
Answer:
39
Step-by-step explanation:
quarters are worth $.25. just divide 9.75 by .25 and you get your answer.
9.75 ÷ .25 = 39
Answer:
39
Step-by-step explanation:
39 x 25 = 975
Select all true statements
A. Angle CBE is congruent to angle ABE.
B. Angle CEB is congruent to angle DEA.
C. Segment DA is congruent to segment CB.
D. Segment DC is congruent to segment AB.
E. Line DC is parallel to line AB.
F. Line DA is parallel to line CB.
Answer:
B,C,E are right statements
The correct statements about the given quadrilateral are:
(B) ∠CEB ≅ ∠DEA (Vertically opposite angles)(C) DA ≅ CB (Given)(D) DC || AB (Given)What are quadrilaterals?A quadrilateral is a four-sided polygon with four edges and four corners that is used in geometry. The Latin words Quadri, a variation of four, and latus, meaning "side," are the source of the name. A parallelogram with four equal sides is referred to as a rhombus. A rectangle with four equal sides is a square. A trapezoid is a quadrilateral having a single set of parallel opposite sides. A quadrilateral having two sets of neighboring sides that are equal is called a kite.So, according to the given quadrilateral, we can conclude that the correct statements are:
∠CEB ≅ ∠DEA (Vertically opposite angles)DA ≅ CB (Given)DC || AB (Given)Therefore, the correct statements about the given quadrilateral are:
(B) ∠CEB ≅ ∠DEA (Vertically opposite angles)(C) DA ≅ CB (Given)(D) DC || AB (Given)Know more about quadrilaterals here:
https://brainly.com/question/16691874
#SPJ2
Plz help me answer this!!!
Answer: 88 years
Step-by-step explanation:
HELPPPPPPPPPPPPPPP!!!!!!!!!!!!!!!!1
Answer:
I deeply apologize if this answer is wrong but I believe the answer is C. y = 2x - 3.
Step-by-step explanation:
If this helped I would appreciate it if you marked me Brainliest. thank you and have a nice day!
PLEASE HELP ME IT WILL MEAN ALOT TO ME ILL MARK YOU AS A BRILLIANT
Answer:
(a) 0.00000221 (b) 4.2 x [tex]10^{5}[/tex]
Step-by-step explanation:
(a) [tex]10^{-6}[/tex] means you need to move the decimal left (because of the negative) 6 spaces. So you have 2.21 move the decimal 6 spaces left and you end up with 0.00000221
(b) If you have 420,000 and you count 5 spaces from the last number, that leaves the decimal inbetween the 4 and 2 so your answer will be 4.2 x [tex]10^{5}[/tex]
an experiment is performed by spinning the spinner 25 times and recording the data in the table below. what is the experimental probability of the spinner not landing in region
The answer would be 15 and yeah that's it XD
which coordinate plane contains the points (2, 2.5) and ( -4, -4)
Answer:
D.
Step-by-step explanation:
That is the only answer provided.
A number b minus 4.2 is less than −7.5.
Which geometric series results in a sum of -69,905
Using geometric sequence concepts, it is found that the one which results in a sum of -69,905 is:
D. [tex]\sum_{k = 0}^{9} -\frac{1}{5}(4)^k[/tex]
What is a geometric sequence?A geometric sequence is a sequence in which the result of the division of consecutive terms is always the same, called common ratio q.As a sum, it can be represented by:
[tex]\sum_{k = 0}^{n - 1} a_1(q)^k[/tex]
In which [tex]a_1[/tex] is the first term.The result of the sum is:
[tex]S = \frac{a_1(1 - q^n)}{1 - q}[/tex]
Item A:
For this sequence, we have that:
[tex]a_1 = \frac{1}{4} = 0.25, n = 8, q = -5[/tex]
Hence, the sum is:
[tex]S = \frac{0.25(1 - (-5)^8)}{4} = -24414[/tex]
Item B:
For this sequence, we have that:
[tex]a_1 = -\frac{1}{4} = -0.25, n = 12, q = 5[/tex]
Hence, the sum is:
[tex]S = \frac{-0.25(1 - (5)^12)}{-4} = -15258789[/tex]
Item C:
For this sequence, we have that:
[tex]a_1 = \frac{1}{5} = 0.2, n = 11, q = -4[/tex]
Hence, the sum is:
[tex]S = \frac{0.2(1 - (-4)^11)}{3} = 279620.3[/tex]
Item D:
For this sequence, we have that:
[tex]a_1 = -\frac{1}{5} = -0.2, n = 10, q = 4[/tex]
Hence, the sum is:
[tex]S = \frac{-0.2(1 - (4)^10)}{-3} = -69905[/tex]
Hence option D is correct.
You can learn more about geometric sequence concepts at https://brainly.com/question/11847927
An article published in the Washington Post claims that 45 percent of all Americans have brown eyes. A random sample of =80 college students students found 30 who had brown eyes.
Answer:
a. -1.35
b. 0.177016
Step-by-step explanation:
According to the question, following data is given
Brown eyes american percentage is 45
Random sample be 80 out of which 30 had brown eyes
Based on the above information
The computation is shown below:
a. The proportion of the sample is
[tex]\bar p = \frac{30}{80}\\\\= 0.375[/tex]
The z value is
[tex]z = \frac{\bar p - p }{\sqrt{\frac{p(1 - p)}{n} } } \\\\\frac{0.375-0.45 }{\sqrt{\frac{0.45(1 - 0.45)}{80} } }[/tex]
= -1.35
b Now the P value is
As z comes -1.35
So, there is a two tailed p value i.e. 0.177016
Select the correct answer.
Which point is a reflection of T(-6.5, 1) across the x-axis and the y-axis?
A.
point U
B.
point V
C.
point W
D.
point X
Answer:
the answer is W i think
Step-by-step explanation:
In triangle, HIJ, HI = 48, and IJ = 27. What is the range of values for the length third side?
Answer:
The range is between 21 and 75
Step-by-step explanation:
"The Triangle Inequality Theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side."
Any two sides of of a triangle added together cannot be equivalent to or less than the length of the third side. Knowing this, we can figure out the range. If you add 48 and 27, you get 75. We know 75 is the top of the range, the length of the third side cannot be 75 or greater. Going the other way, if you assume that the third side is one of the smaller ones, you can identify 48 as the largest value. If you subtract 27 from 48 you get 21, so the length of the third side cannot be 21 or lower.
This gives us the range. Just keep this rule in mind. Hope this helped!
Answer:
21 < HJ < 75
Step-by-step explanation:
The function f(x) is exponential and the function g(x) is linear, These functions have the following values: f(1) = 2 g(1) - 2.5 f(2)= 6 g(2) = 4 It follows that there must be a solution to f(x) = g(x) between x = 1 and x = 2.
True
False
Answer:
Step-by-step explanation:
There does not exist any solution of as thir graphs do not intersect.
Step-by-step explanation:
We are given that,
The values of the exponential function f(x) are f(1)= 2 and f(2)= 6.
That is, we get,
So, the function f(x) is .
Moreover, the values of the linear function g(x) are g(1) = 2.5 and g(2) = 4.
That is, the slope = = 1.5
Substituting the slope and point (1,2.5) in the linear equation , where m is the slope, we get,
i.e. b= 1
Thus, the function g(x) is .
Consider,
i.e.
Now, the function f(x) is exponentially increasing and the linear function g(x) is increasing between x= 1 and x= 2, but there is no point where the graphs of the functions are intersecting.
Thus, there is no solution of the equation .
What is the value of b
Answer:
2 is the answer of value of b
find the slope of 4x + 3y = 2
Answer:
Slope is 4/3
Step-by-step explanation:
We need to turn this into slope intercept form to find the slope,
slope intercept form is y=mx+b, we just need to "rearrange" the problem using reverse operations and get our slope
4x+3y=2
4x-4x+3y=2-4x subtract 4x from both sides ⇒ 3y=4x-2
we need to get rid of the 3, so divide both sides by 3
[tex]\frac{3y}{3} =\frac{4x-2}{3}[/tex] and we get
y=4/3x-2/3
Our slope is 4/3
feel free to ask any questions or comments
Determine the x-intercept, y-intercept and slope of the line described by - 3x + 7y = –21 (Which is not proper Standard Form because the coefficient of x can't be negative)
Slope = 3/7
y - intercept: y = -3
x - intercept x = 7
un objeto cae accidentalmente de un vehículo que lleva una rapidez de 50 kilómetros por hora y recorre 20 m antes de detenerse
Un objeto cae accidentalmente de un vehículo con una velocidad de
50 km / hy recorra 20 m antes de detenerse.
Calcular:
a) La aceleración:
b) El tiempo que tarda en detenerse:
Responder:
1.439 s
-9,645 m / s²
Explicación paso a paso:
Dado que:
Velocidad en m / s = (50 * 1000) / 3600 = 13.899 m / s
Distancia (d) = 20
Tiempo = distancia / velocidad
Tiempo = 20 / 13.889
Tiempo = 1.439 s
Aceleración (a):
Cambio de velocidad / tiempo empleado
= (0 - 13,889) / 1,439
- 13.889 / 1.439
= -9,645 m / s²
how do u divide 13 by 286?
Means alot if u can give me the answer:)
Answer: 0.04545
Step-by-step explanation:
It is a decimal bc it is a smaller number divi by a larger number and it is not even, if it were flipped to be 286/13 the answer would be 22
CAN SOMEONE GIVE ME THE ANSWER
Answer: 5*4=20 6*4=24 7*4=28 8*4=32
Step-by-step explanation:
Hope this helps. :)
Answer:
The linear function is a direct variation and the variation is multiply x by 4 to get Y. (x × 4 = y)
Step-by-step explanation:
5 × 4 = 20
6 × 4 = 24
7 × 4 = 28
8 × 4 = 32
School is 2 miles from home along a straight road. The table shows your distance from home as you walk home at a constant rate.
Time (min)
10
20
30
Distance from home (miles)
1.5
1
0.5
Is the relationship in the table proportional?
Find your distance from school for each time in the table.
Write an equation representing the relationship between the distance from school and time walking.
- 6x + 5y = 11 Complete the missing value in the solution to the equation x=-1
Answer:
Step-by-step explanation:
-6x+5y=11
If x= -1 replace x with -1
-6(-1)+5y=11
6+5y=11 subtract 6 from both sides
5y=5 divide by 5
y=1
Answer:
Sub in the value, 6mutiplied by -1 is 6 so 6+5y=11. Subtract 6 from both sides. 5y=5
Y=1
X=-1
(-1,1)
Calculate the slope between the points (0,1) and (8,4)
Answer:
3/8
Step-by-step explanation:
[tex]slope = \frac{4 - 1}{8 - 0} = \frac{3}{8} \\ [/tex]
Answer:
0.375
Step-by-step explanation:
slope = Y2-Y1/X2-X1
slope = 4-1/8-0
slope = 3/8
slope = 0.375
Hope that helps!
The original price for a football is $60. What is the discount rate if the new price for the football is $39
Answer:
.65
Step-by-step explanation:
searched it up
Answer:
35% off
Step-by-step explanation:
60 - 35% = 39 I used a calculator btw
What is 2.53 rounded to the nearest whole number
Answer:
3.
Step-by-step explanation: