Answers
9514 1404 393
Answer:
y = 1
Step-by-step explanation:
Recognize that 25 and 125 are powers of 5 and rewrite the equation in terms of powers of 5.
The applicable rules of exponents are ...
(a^b)^c = a^(bc)
(a^b)/(a^c) = a^(b-c)
(a^b)(a^c) = a^(b+c)
__
Your equation can be written as ...
[tex]25^4\div5^{5y}=125^y\\\\(5^2)^4\div5^{5y}=(5^3)^y\\\\5^{8-5y}=5^{3y}\\\\8-5y=3y\qquad\text{equate exponents of the same base}[/tex]
Now this can be solved as an ordinary linear equation.
8 = 8y . . . . . . add 5y to both sides
1 = y . . . . . . . divide by 8
The solution is y = 1.
Related Questions
There are 80 tickets in a bag and the ratio of winning tickets to losing tickets is 2 : 8. How many of each kind of ticket are in the bag?
Answers
Given:
Total number of tickets = 80
Ratio of winning tickets to losing tickets is 2 : 8.
To find:
The number of tickets of each kind in the bag.
Solution:
Let the number of winning and losing tickets are 2x and 8x respectively.
Total number of tickets = 80
[tex]2x+8x=80[/tex]
[tex]10x=80[/tex]
Divide both sides by 10.
[tex]x=\dfrac{80}{10}[/tex]
[tex]x=8[/tex]
Now,
Winning tickets : [tex]2(8)=16[/tex]
Losing tickets : [tex]8(8)=64[/tex]
Therefore, the winning and losing tickets are 16 and 64 respectively.
If I saved up $10 every 2 weeks, in a year I would have saved up $260. But, if I had saved up $20 per month, I would only have saved $240. Why do they have different totals?
Answers
PLEASE HELP!!!!
2. Toss 4 times Imagine tossing a fair coin 4 times . (a ) Give a probability model for this chance process . (b) Define event B as getting exactly three tails . Find P(B)
Answers
Answer:
If a coin is tossed 4 times; number of possible outcomes = (2^4) = 16. 3 heads and 1 tail can occur from 4 tosses in (4C3)*(1C1) = 4*1 = 4 ways. So, the probability = (4 / 16) = (1 / 4) = 0.25.
i didnt really understand the question but hope this helps
According to the information given, we have that:
a) A binomial model with [tex]p = 0.5[/tex] and [tex]n = 4[/tex] should be used.b) P(B) = 0.25.For each coin, there are only two possible outcomes, either it is heads, or it is tails. The result of the flip of a coin is independent of any other flip, hence, the binomial distribution is used to solve this question.
Binomial probability distribution[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes. n is the number of trials. p is the probability of a success on a single trial.Item a:
The coin is tossed 4 times, hence [tex]n = 4[/tex].It is a fair coin, hence equally as likely to be heads and tails, which means that [tex]p = 0.5[/tex].Hence, a binomial model with [tex]p = 0.5[/tex] and [tex]n = 4[/tex] should be used.
Item b:
P(B) is P(X = 3), hence:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 3) = C_{4,3}.(0.5)^{3}.(0.5)^{1} = 0.25[/tex]
Hence, P(B) = 0.25.
To learn more about the binomial distribution, you can take a look at https://brainly.com/question/24863377
what plus 80 and 70 equals 180
Answers
Answer:
30
Step-by-step explanation:
Take 80 and 70 and add them together to get: 130
Then subtract 130 from 180
To get: 30
:)
Answer:
30
Step-by-step explanation:
80 + 70 = 150
180- 150 = 30
therefore 80 + 70 + 30 = 180
NEED HELP ASAP!!!
Which function does this graph represent?
A. F(x)= 3 (x+1)^2+2
B. F(x)= -3 (x+1)^2+2
C. F(x)= -3 (x+1)^2+2
D. F(x)= 3 (x-1)^2+2
Answers
Can anyone help me with this?
Answers
Answer:
-37z
Step-by-step explanation:
Write the missing number and name the
property
(733X5)×2= 733 x 5
Answers
Answer:
the missing number is 2
Step-by-step explanation:
Left side is (733*5)*2 (please use * for multiplication, or · , but not X or x)
Right side is 733*5. Rewriting the expression this way makes it obvious that the missing number is 2.
for a given input value of n, the function h outputs a value of m to satisfy the following equation.
m+1=-2(n+6)
write a formula for h (n) in terms of n
h(n)=
Answers
Answer:
h(n) = - 2n - 13
Step-by-step explanation:
Given
m + 1 = - 2( n + 6) = - 2n - 12 ( subtract 1 from both sides )
m = - 2n - 13, that is
h(n) = - 2n - 13
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Answers
A department store buys 500 shirts at a cost of $13,500 and sells them at a selling price of $30 each. Find the percent markup.
Answers
Answer:
5.5% hope this helps have a great day!
Step-by-step explanation:
Answer:
450
Step-by-step explanation:
i think if you do 13,5000 divided by 30 you get 450 thats why im saying 450
12.Simplify (4x + 7)2- (4x – 7)2
Answers
Answer:
28
Step-by-step explanation:
are you asking for ^2? The power of 2 is differnet than just 2
also brainliest pls
8x + 14 - 8x - 14
0x + 0
At Cass High School, 2/3 of the students play a sport. Of the students who play a sport, 2/5 play football. What fraction of the students at Cass High School play football? *
Answers
Answer:the answer is 3/8.
Step-by-step explanation:
Which mixed number is equivalent to twenty nine thirds?
Answers
Answer:
9 2/3
Step-by-step explanation:
Divide using long division. The whole number portion will be the number of times the denominator of the original fraction divides evenly into the numerator of the original fraction, and the fraction portion of the mixed number will be the remainder of the original fraction division over the denominator of the original fraction.
9 2/3
NEED ANSWER BY TODAY ( Nov 12, 2020 ) AT 6:30 p.m. ASAP.
The world's future society predicts that by the year 2020, airplanes will be able to carry 1400 passengers. Today's biggest jets carry 600 passengers. What will be the percent of the increase of airplane passengers?
P.S. this is a Percent increase/decrease
from: 600
to: 1400
%/100 = differences of to and from/ from ( before the number )
( no negative difference, bigger number subtract smaller number)
Answers
Answer:
133.33333333 percent
the diffrence is 800
Step-by-step explanation:
[(1400 - 600) / 600] × 100%
= 1.3333333333 × 100%
= 133.33333333%
Answer:
133.33% increase
Step-by-step explanation:
This is a percent increase, and to solve for one you need to know the following formula
[tex]|\frac{new~value~-~original~value}{original~value}| *100[/tex]
Plugging it in;
New value = 1400
Old value = 600
[tex]|\frac{new~value~-~original~value}{original~value}|= |\frac{1400-600}{600}| = |\frac{800}{600}| = 1.333333333[/tex]
1.3333333 as a percent is
133.33%
So you have an increase of 133.33%
Jordan's dog with p.M. Pounds Emmett apostrophe s dog with 25% more than Jordan star which expression represents the weight in pounds of Emmett apostrophe s dog select all the apply a 0.25 P 1.25 p c p + 0.25 DP + 120.25
Answers
Answer: 1.25 p , where p= Weight of Jordan's dog
Step-by-step explanation:
Let p = Weight of Jordan's dog .
Given: Emmett apostrophe's dog with 25% more than Jordan star.
Then, weight (in pounds) of Emmett apostrophe s dog = p +25% of p
= p +0.25 p [We divide a number by 100 to remove %]
= p(1+0.25)
= p(1.25)
=1.25 p
Hence, the expression represents the weight in pounds of Emmett apostrophe's dog=1.25 p
Hey I am super confused about the equation below. plzz help!!!
Answers
Answer:
50.
Step-by-step explanation:
12 x 45 = 540. 45 + 5 = 50.
The ratio of y to x is 21 to 7. If x is 10, what is the value of y?
A)3
B) 30
C) 70
D) 210
Answers
Answer:
The answer is 30, or B. If you neee an explanation let me know
Answer:
B
Step-by-step explanation:
This is because Y is exactly 3 times the amount of x so 10x3= 30
Write the equation y = 4x - 20 in Standard Form (AX + By = C) with integer coefficients
HELPPPP ASAPPP
Answers
Answer:
-4x + y = -20
Step-by-step explanation:
Please help.
Solve:
n/2 - 10=6
((Show work))
*Sorry I forgot how to do this, and please answer this correctly*
Answers
Answer:
32
Step-by-step explanation:
(n/2) − 10 = 6
Add 10 to both sides.
n/2 = 16
Multiply both sides by 2.
n = 32
Answer:
n=32
Step-by-step explanation:
n/2 - 10=6
add 10 on both side
n/2 +10-10=6+10
n/2=16
multiply both side by 2
n/2×2=16×2
n=32
How do you know whether an ecuation is an identity? How many solutions does an identity have? Explain
Choose the correct answer below
O, A. An equation is an identity w it can be rewitten as an equation of the form"variable = ruumiker, such as x=5 or y=3. Such an equation has an infinite
number of solutions because a variable can be any number
OB. An equation is an idersity it can be rewritten as an equation of the form "variable = number," such as x=5 or y=3. Such an equation has only one solution,
and the solution is called the identity of the variable
OC. An equation is an identity #it can be rewritten as 0-0. Such an equation has only one solution, 0, and that is the identity of the variable
OD. An equation is an identity if it can be rewritten as 0 =0. Such an equation has an infinite number of solutions because it reduces to a true statement
regardless of the value of the variable
Answers
Answer: D. An equation is an identity if it can be rewritten as 0 =0. Such an equation has an infinite number of solutions because it reduces to a true statement regardless of the value of the variable.
Step-by-step explanation:
For an identity equation ; The value on the right and left hand side of the equation are equal :
Left hand side = Right hand side
The solution to an identity solution is infinite because the equation holds true for every value substituted for the variable.
Hence, for every value substituted in for the variable in the equation, the equation is a true statement.
For the linear model, y = -67.9x +679, the distance, in miles y, is a function of time, x, in hours. Use the model to calculate the total distance, in miles, at x = 2 hours.
Answers
Answer:
543.2 miles
Step-by-step explanation:
Input the given value of x into the equation and solve for y:
y = -67.9x + 679
y = -67.9(2) + 679
y = -135.8 + 679
y = 543.2
The total distance in miles after 2 hours is 543.2 miles.
70.2 x 10
6.702 x 10?
7.02 x 100
7.02 x 10?
Answers
Answer:
70.2 x 10=702.
6.702 x 10=67.02
7.02 x 100=70.2
7.02 x 10=70.2
Step-by-step explanation:
I hope this help! :)
6.702 x 10= 67.02
7.02 x 100= 702
7.02 x 10= 70.2
Can anyone help me with this algebra problem ?
Answers
Answer:
a
Step-by-step explanation:
Answer:
y=mx+b is the form in which these equations are. B represents the y intercept and M is the slope
currently to find slope we need to get y alone on the left side of the equation for all the answers:
A.y-4=3(x-2) -----> y-4=3x-6 (i also distributed) ----> y=3x-2
B. y+4=-3(x+2)----> y+4=-3x-6 -------> y=-3x-10
C. y-2=-3(x-4) --------> y-2=-3x+12 ------> y=-3x+14
D. y-4= -3( x-2) --------> y-4= -3x+6 ---------> y=-3x+10
All of these equations except A have a slope of -3 so A is already out and to find which one is valid we need to plug in the point (2, 4) for each of the equations
B. 4=-3(2)-10 ------> 4=-6-10----> 4=-16- not valid
C. 4 =-3(2)+14 -----> 4=-6+14------>4=8 not valid
D. 4=-3(2)+10 ----->4=-6+10 ------> 4=4 - Valid
Only D is correct
Step-by-step explanation:
1/8 of a number is less than or equal to 3
Answers
Answer:
1/8n<3
Step-by-step explanation:
The letter "n" represents the number. Less than or equal to is represented by "<" but with a line under it.
Answer:
1/8n<3
Step-by-step explanation:
Please I will give brainylest if the answer is correct
Answers
Answer:
a^n +3
Step-by-step explanation:
simpify: a^na^3:\quad a^{n+3}
a^{n+3}
1. Parallelogram WXYZ is shown on the coordinate plane ect...
Added photo plz help!!
Answers
Answer:
Step-by-step explanation:
12.718 units
Step-by-step explanation:
The coordinates of the vertices of parallelogram WXYZ are given to be W(0,-1), X(4,0), Y(3,-2) and Z(-1,-3).
So, the perimeter of the parallelogram will be 2(WX + XY) {Since opposite sides of parallelogram are same in length}
Now, length of WX = units, To find the units click this link :
https://tex.z-dn.net/?f=%5Csqrt%7B(-1)%5E%7B2%7D%20%2B%204%5E%7B2%7D%20%7D%20%3D%20%5Csqrt%7B17%7D%20%3D%204.123
And, length of XY = units, To find the units click this link :
https://tex.z-dn.net/?f=%5Csqrt%7B(4-3)%5E%7B2%7D%20%2B%20(0-(-2))%5E%7B2%7D%7D%20%3D%20%5Csqrt%7B5%7D%20%3D%202.236
Therefore, the perimeter of the parallelogram WXYZ = 2(4.123 + 2.236) = 12.718 units. (Answer)
How would I Graph y = -3/2x - 3
Answers
Answer:the slope is negative is the one with the x , -3/2 so that means the top of the line points to the top left
Start with -3 which on the y axis start on -3 go down thats the first dot point then do slope which is -3 down /2 right the opposite start again on -3 on the y go up 3 and 2 to the left connect points
Step-by-step explanation:
A rectangular piece of metal is 9 in. longer than it is wide. Squares with sides 3 in. long are cut from the four corners, and the flaps are folded upward to form an open box. Which equation indicates that the volume of the box is 80 in. cubed?
Answers
Step-by-step explanation:
Let the width be = w
The length will be = w+9
And height h = 3 inches ( side of square =3 in)
Volume = l x w x h
According to question
[tex]80 = w(w+9)3\\3w^2+27w-80=0[/tex]
So, this equation indicates that the volume of the box is 80 in.
Anna's college tuition payment is automatically
withdrawn from a separate checking account used only
to pay tuition. At the beginning of the year, the balance
in this account was $13,287.48. After withdrawals each
month for a year, the balance is $1,449.84. How much is
Anna's college tuition payment each month? Estimate to
show that your answer is reasonable.
Answers
Answer: $986.47
Step-by-step explanation:
The total tuition fee for the year is;
= 13,287.48 - 1,449.84
= $11,837.64
The payment per month will therefore be;
= 11,837.64/12 months
= $986.47
Geometry (congruent triangles ) help please idk what to do
Answers
Answer:
H
PLEASE MARK BRAINLIEST