Find the value of 'y' if 27^y = 9/3^y.
Help me please..
Answer:
y = 1/2.
Step-by-step explanation:
Note that 27 = 3^3 and 9 = 3^2:
27^y
= (3^3)^y
= 3^3y.
9/3^y
= 3^2/3^y
= 3^(2-y)
So 3^3y = 3^(2-y)
and therefore:
3y = 2 - y
4y = 2
y = 1/2.
Given that:
27^y = 9/3^y
⇛27^y × 3^y = 9
⇛(3^3)^y × 3^y = 9
⇛3^3y × 3^y = 9 [°.° (a^m)^n = a^mn]
⇛3^(3y+y) = 9 [°.° a^m×a^n = a^m+n]
⇛3^(4y) = 9
⇛3^(4y) = 3^2 [Bases equal ⇛exponents to equal]
.°. 4y = 2
y = 2:4 = 1/2
Hence, the value of y is 1/2.
The selling price of an item is 720 it is marked down 30% but the sale price is still marked up from the cost of 420 find the mark up from the cost of the sale price
Answer:
$84
Step-by-step explanation:
720x30=21600
21600/100=216
216=markdown (as a number instead of a percentage)
Now subtract that like this
720-216=504
504= sale price
Then do this
504-420=84
Therefore it is $84
Hope you understand!
A diameter of a circle measures 58cm. What is the length of its radius
Answer:
29cm
Step-by-step explanation:
a radius is half of a diameter so half of 58cm is 29cm.
i hope this helps have a good day
!!Help!!
solve for x
WXY = XYW ( = 41 ) ⇒ XYW is a isosceles triangle
⇒ XW = YW
⇒ 54 = 6x + 6
⇒ 6( x + 1 ) = 54
⇒ x + 1 = 9
⇒ x = 8
ok done. Thank to me :>
The Temperature decreased from 71.50 F to 56.80 F overnight. How much did the temperature drop? Find the difference.
Answer:
Temperature difference: 14.70°F
Step-by-step explanation:
Since the temperature decreased from 71.50°F to 56.80°F, we could determine the temeprature difference by subtracting the given temperatures:
71.50°F - 56.80°F = 14.70°F
Therefore, the temperature decreased by 14.70°F overnight.
Gabriel deposits $250 into his savings account when he first opens the account. he then deposits $40 every month after that. how much money will he have after 9 months?
Answer:
610
Step-by-step explanation:
Multiply the monthly $40 by the 9 months
(40 times 9 = 360)
Then you would need to add in the original $250 deposit money
(360 + 250 = 610)
The! width! of! a! rectangular! box! is!2cm!less! than! its! length.! The! height! of! the! box!is!8cm.!Which
Answer:
Step-by-step explanation:
What is the constant of proportionality in the equation
Below
Answer:
k = 9/2
Step-by-step explanation:
Constant of proportionality, k = y/x
given: x/y = 2/9
since k = y/x, therefore, k value will now be inverse of 2/9, which is 9/2
Please help- it's due in a week-
Answer:
100x + 150y = 3050
x + y = 23
Step-by-step explanation:
the other answer had the right start and equations, and then did not give the result.
so, here the full picture :
x + y = 23
100x + 150y = 3050
so, the first equation gives us
x = -y + 23
which we can now use in the second equation
100(-y + 23) + 150y = 3050
-100y + 2300 + 150y = 3050
50y = 750
y = 15 (15 adults)
x = -y + 23 = -15 + 23 = 8 (8 minors)
Determine the inverse of the function
Brianna mixed 5 parts of orange juice and 2 parts of water to make a drink. How many parts of orange juice did Brianna mix with each part of water?
Answer:2 1/2
Step-by-step explanation:
1. Carlee surveyed customers as they left a convenience store. She asked them, “How many items did you purchase?” The results are shown in the line plot.
(a) How many customers were surveyed?
(b) What was the greatest number of items purchased by a customer?
(c) How many customers purchased 9 items?
(d) How many customers purchased at least 5 items?
(e) What was the median number of items purchased?
Answer:
a. 15
b. 11
c. 2
d. 7
e. 3
Step-by-step explanation:
a. count the dots, that will be total customers surveyed = 15
b. one customer purchased 11 items - 11
c. count how many dots under 9 - 2
d. at least 5, meaning ppl buying 5 or more items, count dots greater than 5
- 7
e. Median means middle number, arrange in order
0,1,2,2,3,3,3,3,5,5,7,7,9,9,11, so middle number is : 3
Answer:
a. 15
b. 11
c. 2
d. 7
e. 3
hope this helps :)
Which statement describes the system of equations? The system has infinitely many solutions. The system has no solution. The system has one solution The system has one solution
which value is equivalent to 30 + 9 divided by (6 - 3) A) 13 B)30 C(32 D)33
Answer:
13
Step-by-step explanation:
30 plus 9 is 39
6 minus 3 is 3
39 divided by 3 is 13
Answer:
the answer is D 33
Step-by-step explanation:
Suppose you are given a $1000 graduation gift from your grandparents at age 20. You consult and advisor and decide to invest this money for retirement over the next 45 years in an account that pays 8% interest compounded continuously.What will be the value of this account when you retire in 45 years?
Answer: divide and add
Step-by-step explanation:
write 13/19 as a decimal rounded to the nearest hundred
round up 28.046 to the nearest hundredth
Answer:
28.05
Step-by-step explanation:
is 5,7,9 a pythagorem theorem? pls help me due rn
Answer:
No
Step-by-step explanation:
a^2+b^2=c^2
5^2= 25
7^2 = 49
25+49=74
square root of 74 does not equal 9
Answer:
No.
Step-by-step explanation:
Pythagorean Theorem: a²+b²=c²
5²+7²=9²
5²=25, 7²=49, 9²=81
25+49 does not equal 81.
Biểu thức sin²x + cos²x có giá trị bằng ?
we have sin²x + cos²x = 1
ok done. Thank to me :>
if i got a 48 and a 49 on my math quiz which are worth 90% of my grade and I get a 100 on my hw which is 10% of my grade. I have two more quizzes left. What are the lowest grades to get on both of my quizzes in order to get a 70% average?
Answer:
80
Step-by-step explanation:
80%
what is the ratio of 4:5
what is the probability of drawing a red marble then a white marble if there are 3 red marbles and 2 white marbles
Answer:
3/5
Step-by-step explanation:
Can anyone help? I don’t know how to do #28
Answer:
enlarge the equilateral triangle and put -2
Step-by-step explanation:
If needed,round your answer to the nearest cent.
please help me.
Answer:
1.62 per pen
Step-by-step explanation:
Take the total cost and divide by the number of pens
9.69/6
1.615
Round to the nearest cent
1.62 per pen
Plzzzz help meeeee plzzzz
Answer:
200
Step-by-step explanation:
Help!!! can someone answer these, Thank You!
PLEASE HELP IM FAILING
Find the output for the relation with the given input. If there is no possible output for the given input explain why not
Step-by-step explanation:
[tex]f(x)=\frac{x}{x-1}[/tex]
To evaluate this function at [tex]x=1[/tex], just substitute 1 in for x:
[tex]f(1)=\frac{1}{1-1}=\frac{1}{0}[/tex]
There is no possible solution at [tex]x=1[/tex] because the value is undefined. You cannot divide by 0.
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!8
Answer:
B
Step-by-step explanation:
X menas time, so we posisionate this in the axis, you begin with 2 dollars, and increase the cost with the time, hope this hlps :)
solve the following equations
A) 2 (A + 5) = 16
b) 4 p - 2/3 = 7/3
c) 3y/2 + 8 = (-4)
pls pls pls pls pls pls answer steps
Answer:
A. 2(a+5) = 16
2a + 10 = 16
2a = 16-10
2a = 6
2a÷2 = 6÷2
a = 3
B. 4p-2/3 = 7/3
4p = 7/3 + 2/3
4p = 3
4p÷4 = 3÷4
p = 3/4
C. 3y/2 + 8 = -4
3y/2 = -4 - 8
3y/2 = -12
[ 3y/2 = -12 ] 2
3y = -24
3y ÷ 3 = -24 ÷ 3
y = -8
[tex] \: \: \: \: \: [/tex]
A.) a = 3
B.) p = ¾
C.) y = -8
hope it helpsrefer to the attachment
[tex] \: \: \: \: \: \: \: \: [/tex]
A survey was given to people who own a certain type of car. What percent of the people surveyed were completely satisfied with the car?
Answer:
60% if this is an edge question