2/5 divided by 5/6 equals 12/25.
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction.
The reciprocal of a fraction is obtained by swapping the numerator and the denominator.
So, to divide 2/5 by 5/6, we multiply 2/5 by the reciprocal of 5/6.
Reciprocal of 5/6 = 6/5
Now, we can multiply the fractions:
[tex]\frac{2}{5} \times \frac{6}{5}[/tex]
[tex]= \frac{2 \times 6}{5 \times 5}[/tex]
[tex]= \frac{12}{25}[/tex]
Therefore, 2/5 divided by 5/6 equals 12/25.
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As the music plays,the volume changes In the beginning of the piece can be modeled by the equation s=10Ix-4I+50 where s represents the sound level in decibels and x represents the number of measures of music played. explain in words each step to find the following equation at what number(s) measures played would the sound level be at 80
Answer:
-127
Step-by-step explanation:
s = 101x-41+50
80 = 101x - 4+ 50
-101x
-181 = x - 4 +50
-181 = x -54
+ 54
-127 = x
I hope this helps
I need to simplify this pls help
Answer:
5x^5
Step-by-step explanation:
45x/9x = 5x
15 - 10 = 5
5x^5
The point (-7, -24) is on the terminal ray of angle θ which is in standard position. A student found the six trigonometric values for angle θ. The student’s answers are shown
Unfortunately, my work was removed due to a system error, but these are the answers.
Answer:
its correct edg 22
Step-by-step explanation:
In the diagram m<8=11y+7 and m<3=y+17.What is m<2
Answer:
C. 150
Step-by-step explanation:
Given:
m<8 = 11y + 7
m<3 = y + 17
Required:
Find m<2
Solution:
m<8 + m<3 = 180 (supplementary angles and linear pair theorem)
11y + 7 + y + 17 = 180 (substitution)
Collect like terms
12y + 24 = 180
Subtract 24 from each side
12y = 180 - 24
12y = 156
Divide both sides by 12
y = 156/12
y = 13
m<2 = m<8 (alternate exterior angles are congruent)
m<2 = 11y + 7
Substitute y = 13 into the equation
m<2 = 11(13) + 7 = 143 + 7
m<2 = 150°
Trisha ran 10 km in 2.5h. Jason ran 7.5 km in 2h. Olga ran 9.5 km in 2.25h. Who had the fastest average speed.
Answer:
Olga
Step-by-step explanation:
Point Pis located at (-9,-5) and point Q is located at (-9, -8). What are the coordinates
of the midpoint?
Answer:
(-9,-6.5)
Step-by-step explanation:
mid point formula
The manager of a local fast-food restaurant is interested in improving the service provided to customers who use the restaurant's drive-up window. As a first step in this process, the manager asks an assistant to record the time (in seconds) it takes to serve a large number of customers at the final window in the facility's drive-up system. The file P08 07 xlsx contains a random sample of 200 service times during the busiest hour of the day
a. Identify the relevant population.
b. Calculate and interpret a 95% confidence interval for the mean service time of all customers arriving during the busiest hour of the day at this fast-food operation.
c. If the manager wants to improve service, at least during the busiest time of day, does this contidence interval provide useful inlormation? What useful information does it not provide?
Answer and explanation:
Find answer and explanation attached
solve each problem. a. what is -4.3-(-6.8)? b. what is 1 3/5+(-2 7/10)?
Answer:
4
Step-by-step explanation:
A line has a slope of - 1/4 and passes through point(-5/4,1)
What is the equation of the line?
Answer:
y= -1/4x - 1/4
Step-by-step explanation:
y - y1 = m(x - x1)
y - 1 = -1/4 (x -(-5/4))
y - 1 = -1/4x - 5/4
y = -1/4x - 1/4
A conical tank has height 3 m and radius 2 m at the base. Water flows in at a rate of 2 mº/min.
3
2
How fast is the water level rising when the level is 1 m and when the level is 1.6 m?
(Use decimal notation. Give your answers to four decimal places.)
dh
dt
=
m
dh
dt
=
=1.6
Carlos spends at least 45 minutes each day on the internet. Write an inequality which could be used to describe the amount of time,x, that Carlis spends on the internet.
Answer:
x ≤ 45 mins
Step-by-step explanation:
At least can be changed into less than or equal to.
Also, at most would be greater than or equal to.
Therefore, you simply need a less than or equal to sign.
Every day a zookeeper feeds 4 adult elephants a total of 320lb of food. At this rate, how many pounds of food would the zookeeper need every day to feed 6 adult elephants?
Answer:
34343
Step-by-step explanation:
Be it the right thing for a reason
Answer:
480lb
Step-by-step explanation:
320/4 = 80/1
80 x 6 = 480lb of food to feed 6 adult elephants
your welcome!!
The product of 5 and the difference of 9 and a number.
Answer: 5(9-x)
Step-by-step explanation:
Based on the question, let the number be represented by x.
From the question, we are informed that we've a product, this means that we need to multiply 5 by the difference of 9 and x.
In the order of operations, we've to multiply first before we subtract. Therefore, the equation will be written as:
= 5 × (9 - x)
= 5(9-x)
What is the midpoint between (7, -5) and (9, -1)?
Answer:
7,5
Step-by-step explanation:
i think
Answer:
(8,-3)
Step-by-step explanation:
7+9=16 divide by 2 get 8
-5+-1= - 6divide by 2 get - 3
(X1+X2/2 and Y1+Y2/2)
Equation for mid point
Jaycee has a VIP membership to a movie theater, so she pays $27.09 a year and $6 fir each movie she sees. Claire doesn’t have a membership, so she pays $8.25 each movie she sees. How many movies would they have to see in a year in order to pay the same amount that year?
Answer:
12 movies
Step-by-step explanation:
About 12 movies in a year in order to pay the same amount that year
If the sales tax in Texas is 8.25%, what is the
total cost of a new backpack for $36?
Answer:
[tex]Total\ Cost = \$38.97[/tex]
Step-by-step explanation:
Given
[tex]Backpack = \$36[/tex]
[tex]Sales\ Tax = 8.25\%[/tex]
Required
Determine the Total Cost
Total cost is calculated as thus
[tex]Total\ Cost = Backpack + Backpack * Sales\ Tax[/tex]
[tex]Total\ Cost = \$36 + \$36 * 8.25\%[/tex]
[tex]Total\ Cost = \$36 + \$2.97[/tex]
[tex]Total\ Cost = \$38.97[/tex]
using the fact that the black triangle represents the mean and/or the understanding of what a deviation is, explain why this balancing beam would stay balanced went to Blue circles are removed. Be thorough with your explanation and use Multiple sources of evidence
Answer: the left side is balanced with the right side
Step-by-step explanation:
Left side:
1 barrel (located at 2) is 1 unit from the fulcrum (triangle) → 1(1) = 1
2 barrels (located at 1) are 2 units from the fulcrum (triangle) → 2(2) = 4
1 barrel (located at 0) is 3 units from the fulcrum (triangle) → 1(3) = 3
Total = 8
Right side:
1 barrel (located at 6) is 3 units from the fulcrum (triangle) → 1(3) = 3
1 barrel (located at 8) is 5 units from the fulcrum (triangle) → 1(5) = 5
Total = 8
The distribution of the weight on the left side equals the distribution of weight on the right side so the beam is balanced.
F is between EG. If EF = 2x-12, FG = 3X-15 and EG = 23. find the values of x, EF, and FG.
Answer:
The answer is A
Step-by-step explanation:
The first thing to do is see which two lengths of EF and FG equals EG which is 23. If you add together B's options you get -12 and if you add C's options, you get 77. So that leaves us with the options of A and D. From there, just plug in each value of x and see which one gets you the right values. Hope this helps
Assessment
Direction. Write the letter of the correct answer on a separate answer sheet.
1. The following are notations for composite functions EXCEPT,
a. hip(x))
b. f(x) g(x)
C. (
sot) (x)
d. f(g(x))
Find h(3) + d(2) if h(x) = x - 1 and d(x) = 7x + 3
b.5
c. 14
d. 19
3. t(x) = -x2 + 7x + 1 and r(x) = 5x2 - 2 x + 8, find (t - r)(2).
6.-18
2.
C. -13
d. 13
4. f(x) = 4x + 2 and g(x) = 3x - 1, find (f - )(4).
c. 7
5. If g(x) = x - 4 and f(x) = x + 5 Find f(x) = g(x)
a. x2 + x + 20
C.X2 - X - 20
b. x2-x+20
d. x² + x - 20
26
>
Answer:
Step-by-step explanation:
1) Composite functions are function of two or more functions to serve as one function. For example, given d(x) and g(x), we can write both as composite function as d(g(x)). We can call it function of a function. Hence, from the following function, the following options except option B are composite.
d(x)g(x) is the product of the two functions not a composite.
Option B is correct.
b) Given h(x) = x-1 and d(x) = 7x+3
H(3) = 3-1
H(3) = 2
d(2) = 7(2)+3
d(2) = 14+3
d(2) = 17
h(3)+d(2) = 2+17
h(3)+d(2) = 19 (option D)
c) Given t(x) = -x² + 7x + 1 and r(x) = 5x² - 2x + 8, we are to first find the function
t(x)-r(x)
t(x)-r(x) = -x²+7x+1-5x²+2x-8
t(x)-r(x) = -x²-5x²+7x+2x+1-8
t(x)-r(x) = -6x²+9x-7
Substitute x as 2
(t-r)(2) = -6(2)²+9(2)-7
t-r (2) = -6(4)+18-7
(t-r)(2) = -24+11
(t-r)(2) = -13 (option C)
d) If h(x) = 4x + 2 and g(x) = 3x - 1,
h-g = 4x+2-(3x-1)
h-g = 4x+2-3x+1
h-g = 4x-3x+2+1
h-g = x+3
h-g(4) = 4+3
(h-g)(4) = 7
e) If g(x) = x - 4 and h(x) = x + 5, we are to find f(x)h(x)
h(x)g(x) = (x-4)(x+5)
h(x)g(x) = x(x)+5x-4x-20
h(x)g(x) = x²+x-20
Hence the product of h(x) and g(x) is x²+x-20. Option D is correct
ABCD~LMNO Find the value of MN if AB=12cm, BC=9.6cm and LM= 16cm
A) 13cm
B) 7.2cm
C) 12.8cm
D) 13.6cm
Write 4/42 in simplest form
Answer:
2/21
Step-by-step explanation: Basically divide both numbers by two over and over again till you get a odd number on either one. so 4 divided by 2 is 2, and 42 divided by 2 is 21, so i believe 2/21 is the answer. Hope this Helps! -Conner
Find the sum for each expression ?
A.-66+ 42
B.-57 + 57
C. 29 +(-28)
Answer:
A is -24
B is 0
C is 1
Step-by-step explanation:
Hope this helps and please give me brainlest
For each function, what is the output of the given input? For f ( x ) = 4 x + 7 , find f ( 4 ) . 1
Answer:
let's see what to do buddy...
Step-by-step explanation:
To find the output of a number in a function, we must put it in the equation of the function instead of the x .
So to find output of ( x = 4 ) , we must put 4 instead of x in the equation .
Let's do it :
[tex]f(4) = 4 \times (4) + 7 \\ \\ f(4) = 16 + 7 = 23 \\ [/tex]
So the output number of ( x = 4 ) is 23 .
_________________________________
And we're done.
Thanks for watching buddy good luck.
♥️♥️♥️♥️♥️
A cube is a rectangular prism whose side lengths are all the same what is the volume of a cube with a side length of 2
Answer:
8
Step-by-step explanation:
L × W × H = V2 × 2 × 2 = 8I hope this helps!
A cake needs 1/4 cup of oil i need 5 cakes how many cups of oil do i need
Answer:
Oil needed for 1 cake = 1/4
So, for 5 cakes = 1/4 * 5
=> 5/4
Therefore you will require 5/4 cups of oil.
If my answer helped, kindly mark me as the brainliest!!
Thank You!!
If you multiply a number by four and then subtract negative ten, the difference is negative twenty-two. What is the number?
Answer:
n=-3
Step-by-step explanation:
To solve start with the 4n-10=-22
+10 to both sides and you get 4n=-12
Divide each side by 4 and you get n=-3
To check plug -3 in for n and you'll get the -2 once you solve it.
Because of the vertical angles and alternate interior angles we know these are similar triangles. Use what you know about proportional sides to solve for the unknown side ,x
Answer:
x = 20
Step-by-step explanation:
Length 6 corresponds to length 15
Length 8 corresponds to length x
15 ÷ 6 = 2.5
8 • 2.5 = 20
x = 20
2.5 is the scale factor of the small triangle to the big triangle.
Justin, Cam, and Ben are playing a board game where exactly one player will win. Ben estimates that Justin has a 20\%20%20, percent chance of winning each game and that Cam has a 50\%50%50, the percent chance of winning each game.
What is the probability that Ben will win the board game?
Answer:
30\%30%30
Step-by-step explanation:
Answer:
30%
Step-by-step explanation:
Ms. Dukes is buying a sandwich for $5.95 and a bottle of juice for $1.75. She is going to pay with a$10 bill. How much money should she get back?
Answer plz plz plz plz