The ratio of the number of Miki's stickers to the number of Ken's
stickers was 8:7. After Miki gave Ken 18 of her stickers, they had
the same number of stickers. How many stickers did they have in all?

Answers

Answer 1

Answer:

Miki had 288 stickers and Ken had 252 stickers.

Step-by-step explanation:

This question is solved using a system of equations.

I am going to say that:

Miki has x stickers.

Ken has y stickers.

The ratio of the number of Miki's stickers to the number of Ken's stickers was 8:7.

This means that [tex]\frac{x}{y} = \frac{8}{7}[/tex], that is: [tex]7x = 8y[/tex], or [tex]x = \frac{8y}{7}[/tex]

After Miki gave Ken 18 of her stickers, they had the same number of stickers.

This means that:

[tex]x - 18 = y + 18[/tex]

[tex]x - y = 36[/tex]

Since [tex]x = \frac{8y}{7}[/tex]

[tex]\frac{8y}{7} - y = 36[/tex]

[tex]\frac{8y}{7} - \frac{7y}{7} = 36[/tex]

[tex]\frac{y}{7} = 36[/tex]

[tex]y = 36*7 = 252[/tex]

And

[tex]x - y = 36[/tex]

[tex]x = 36 + y = 36 + 252 = 288[/tex]

Miki had 288 stickers and Ken had 252 stickers.


Related Questions

image. can someone help with this one uWu​

Answers

Answer:

8/33

Step-by-step explanation:

What is this function’s input if its output is 11?

f(x) = 2x + 5

Answers

Answer:

the input x is 3

Step-by-step explanation:

2x+5=11

   2x=6

     x=3

the input is 3 #speakingfromthehesrtbfletcher

Suppose we are sending a digital signal which is a string of 0s and 1s of length five. (Example stringsare 00101, 11000, 10101 are all 5 bit strings.) When we send the message, each bit (0 or 1) is sentindependently and there is some chance that the bit is corrupted. Namely, each time we send a 0 thereis a 5% chance that a 1 is received and each time we send a 1 there is a 5% chance a 0 is received.Suppose we send a message of length 5, what is the probability that an incorrect message is received

Answers

Answer:

0.7738 = 77.38% probability that an incorrect message is received.

Step-by-step explanation:

For each bit, there are only two possible outcomes. Either it is corrupted, or it is not. The probability of a bit being corrupted is independent of any other bit. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

5% probability a bit is sent incorrectly:

This means that [tex]p = 0.05[/tex]

Message of length 5

This means that [tex]n = 5[/tex]

What is the probability that an incorrect message is received?

This is the probability of at least one incorrect bit, which is:

[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]

In which

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{5,0}.(0.05)^{0}.(0.95)^{5} = 0.7738[/tex]

0.7738 = 77.38% probability that an incorrect message is received.

The initial number of views for a reader board is 25. The number of views is growing exponentially at a rate of 18% per week. What is the number of views expected to be four weeks from now?

Answers

Answer:

48

Step-by-step explanation:

n = 25(1.18)^4

n = 48.469444

Rounded to 48

Answer:

48 views.

Step-by-step explanation:

18% = 0.18 as a decimal fraction.

The increase in number of books per week is  found by multiplying by 1.18.

The equation is  an exponential one and is:

V = 25(1.18)^t  where V = views and t = number of weeks.

So after 4 weeks :

V = 25 (1.18)^4

= 48.47

PLSSSS ANSWER!!!!!!!!!

Answers

Which one did you need help with?

Solve this pls help


How did the Californian gold rush have an effect on people?

Answers

Answer:

The gold rush has a big impact on people. Especially since it helped shaped the course of California's development by bringing economic growth.

Help ASAP
What is the solution to this equation? (1/4)^x+1 =32

Answers

Answer:

B.  [tex]\displaystyle \frac{-7}{2}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Algebra I

Exponential Rule [Powering]:                                                                           [tex]\displaystyle (b^m)^n = b^{m \cdot n}[/tex] Exponential Rule [Rewrite]:                                                                              [tex]\displaystyle b^{-m} = \frac{1}{b^m}[/tex]

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle \bigg( \frac{1}{4} \bigg)^{x + 1} = 32[/tex]

Step 2: Solve for x

Rewrite:                                                                                                             [tex]\displaystyle \bigg( \frac{1}{2^2} \bigg)^{x + 1} = 2^5[/tex]Exponential Rule [Rewrite]:                                                                              [tex]\displaystyle (2^{-2})^{x + 1} = 2^5[/tex]Exponential Rule [Powering]:                                                                          [tex]\displaystyle 2^{-2(x + 1)} = 2^5[/tex]Set:                                                                                                                    [tex]\displaystyle -2(x + 1)} = 5[/tex][Division Property of Equality] Divide -2 on both sides:                                [tex]\displaystyle x + 1 = \frac{-5}{2}[/tex][Subtraction Property of Equality] Subtract -1 on both sides:                        [tex]\displaystyle x = \frac{-7}{2}[/tex]

Plz help. I was crying. Super challenging. Will give brainiest and will give 50 points for explained answer. Thx

Answers

Answer:

Paige is incorrect.  g(x) has a steeper slope

Step-by-step explanation:

The slope for f(x)  is

m =( y2-y1)/(x2-x1)

   = (17/2 - 5/2) / ( -1 - -6)

    = (17/2 - 5/2) / ( -1 +6)

    = (12/2)/5

    = 6/5

The slope for g(x)  is

m =( y2-y1)/(x2-x1)

   = (-1 - 13/3) / ( 6 - 2)

    =(-3/3 -13/3) / (6-2)

    (-16/3)/4

     -16/3 * 1/4

   - 4/3

Comparing the magnitudes

|6/5|   |-4/3|

|6/5*3/3|     |-4/3*5/5|

|18/15|           |20/15|

|20/15| is greater so it has a steeper slope

g(x) has a steeper slope

A ream of a certain brand of paper weighs about 4.533 pounds. A ream contains 500 sheets of paper. How much does a sheet of paper​ weigh?

Answers

Step-by-step explanation:

As a ream or

500

sheets of paper weigh

4.818

pounds

One sheet of paper weighs

4.818

500

=

0.009636

pounds.

It is apparent that pound is too big a unit for a sheet of paper.

As each pound has

16

ounces, one can say

one sheet of paper weighs

0.009636

×

16

=

0.154176

ounces.

If ounce is too big, as we have

1

pound equal to

28.34952

grams

one sheet of paper weighs

0.154176

×

28.34952

4.371

grams

please mark as brainliest

find the surface area of the composite figure​

Answers

Answer:

[tex]=280[/tex] [tex]in^2[/tex]

Step-by-step explanation:

----------------------------------------

Let's find the surface area of the pink rectangular prism first.

[tex]2*10=20+20=40[/tex]

[tex]4*10=40+40=80[/tex]

[tex]4*2=8+8=16[/tex]

[tex]40+80+16=136[/tex]

The surface area for the pink rectangular prism is [tex]136[/tex] [tex]in^2[/tex].

-------------------->>>>>

Now, let's find the surface area of the green rectangular prism.

[tex]4*7=28+28=56[/tex]

[tex]4*7=28+28=56[/tex]

[tex]4*4=16+16=32[/tex]

[tex]56+56+32=144[/tex]

The surface area for the green rectangular prism is 144 [tex]in^2[/tex].

-------------------->>>>>

Now let's add the surface area of both rectangular prisms to find the surface area of the composite figure.

[tex]136+144=[/tex]

[tex]=280[/tex] [tex]in^2[/tex]

----------------------------------------

Hope this is helpful.

9514 1404 393

Answer:

  224 in²

Step-by-step explanation:

There are a couple of ways to go at this. Here, we choose to figure the areas of each of the prisms individually, then subtract the "hidden" area where they are joined together.

The area of a prism is ...

  A = 2(LW +H(L+W))

Pink area:

  A = 2(10·4 +2(10+4)) = 2(40 +28) = 136 . . . square inches

Green area:

  A = 2(7·4 +4(7+4)) = 2(28 +44) = 144 . . . square inches

One 4 in × 7 in face of the green prism meets with a similar area of the pink prism, so the area hidden at that interface is 2(4·7) = 56 square inches. Then the total surface area of the composite figure is ...

  SA = 136 in² +144 in² -56 in² = 224 in²

HELP MATH ANSWER QUESTION

Answers

Answer:

x = 84 , y = 168

Step-by-step explanation:

[tex]Sin 60 = \frac{opposite side}{hypotenuse}\\\\ \frac{\sqrt{3}}{2}= \frac{AB}{BC}\\\\ \frac{\sqrt{3}}{2} = \frac{84\sqrt{3}}{y}\\\\Cross\ multiply ,\\\\y*\sqrt{3} =2*84 \sqrt{3}\\\\y= \frac{2*84*\sqrt{3}}{\sqrt{3}}\\\\y=168[/tex]

[tex]Cos\60 = \frac{adjacent}{hypotenuse}\\\\ \frac{1}{2}= \frac{AC}{BC}\\\\ \frac{1}{2}= \frac{x}{168}\\\\ \frac{1}{2}*168=x\\\\x= 84[/tex]

The price of a pen is Rs 5 more than the price of a pencil. Total price of 3 pencil and 2 pen is Rs 45.

a) Take the price of pencil as x write the price of pen in terms of x ?

b) Find the price of pencil and pen by forming an equation ?

Answers

Answer:

See below

Step-by-step explanation:

a) y = 5x

b) 45 = 3y + 2x

How many distinct 5 digit numbers can be formed from the list of numbers
{0,1,2,3,4,5,6,7,8,9}such that the number
i. Is an even number
ii. Is a Odd number
iii. Multiple of 5
iv. Never ends with {2,3,4,5}

Answers

Case 1: A 5 digit number with the digits {1,2,3,4,5}. Since 0 is not a part of this set and there are 5 different digits, we can form a total of 5P5 = 5! = 120 numbers.

Which polynomial is factored completely?

Answers

Answer:

You answered it

What is the probability of flipping a coin 10 times and getting heads 5 times? Round your answer to the nearest tenth percent.

Answers

The Probability is 1/2 or .5, .5 rounded to the nearest tenth would be irregular because .5 is already in the tenth place but according to the law of rounding since ut is five it would be rounded up giving the whole number 1

There are 12 adults, 24 girls and 6 boys in a room.
Work out the ratio of adults to girls to boys.
Write the answer in its simplest form.

Answers

Answer:

12:24:6- divide by 3

4:8:2 - divide by 2

2:4:1- simplest form

Question
Which of the following is equivalent to 1-12 + 3/?

Answers

d because if you look and add them there the exact the same

Show that the transformation T defined by ​T(x1​, x2​)= ​(x1x2​, x1​, x2​) is not linear. If T is a linear​ transformation, then ​T(0​)= ____________

Answers

Answer:

A linear transformation is defined as:

For a transformation T that goes from R^n to R^m, this transformation is linear if, for two vectors A and B, we have that:

T(A + B) = T(A) + T(B)

In this case, we have the transformation:

T(x1​, x2​)= ​(x1x2​, x1​, x2​).

If we define two vectors:

A = (a1, a2)

B = (b1, b2)

if the transformation is lineal, we will have that:

T(A + B) = T(A) + T(B)

Or

T(0) = T(A - A) = T(A) + T(-A)

(just two different ways of writing the same thing, I will use the first one, because it is the general way)

We want to see that, for our transformation, this equation is false.

first the left side:

A + B = (a1, a2) +  (b1, b2) = (a1 + b1, a2 + b2)

Then the transformation applied to that vector gives:

T(A + B) = T(a1 + b1, a2 + b2) = ( (a1 + b1)*(a2 + b2), (a1 + b1), (a2 + b2))

             = (a1*a2 + a1*b2 + b1*a2 + b1*b2, a1 + b1, a2 + b2)                                  

While for the right side, we have:

T(A) + T(B) = T(a1, a2) + T(b1, b2) =  (a1*a2, a1, a2) + (b1*b2, b1, b2)

                  = (a1*a2 + b1*b2, a1 + b1, a2 + b2)

Then we can rewrite:

T(A + B) = T(A) + T(B)

as:

(a1*a2 + a1*b2 + b1*a2 + b1*b2, a1 + b1, a2 + b2) = (a1*a2 + b1*b2, a1 + b1, a2 + b2)

We can see that the first part of these vectors is different, thus, the equality is false.

Then we can conclude that:

T(A + B)  ≠ T(A) + T(B)

Then the transformation T is not linear.

What is the value of x? Round the answer to the nearest tenth.
DONT RESPOND WITH A LINK!!!!!!!

Answers

Answer:

i believe x is 16.1

Step-by-step explanation:

hope this helps

Three potential employees took an aptitude test. Each person took a different version of the test. The scores are reported below. Kerri got a score of 80.8; this version has a mean of 62.1 and a standard deviation of 11. Cade got a score of 286.4; this version has a mean of 271 and a standard deviation of 22. Vincent got a score of 7.9; this version has a mean of 7.2 and a standard deviation of 0.7. If the company has only one position to fill and prefers to fill it with the applicant who performed best on the aptitude test, which of the applicants should be offered the job

Answers

Answer:

Kerri

calculate z scores z= (x - xbar)/stdev

Kerri = 1.7

Cade = .7

Vincent = 1

Step-by-step explanation:

Which expression is equivalent to the given expression?

6ab/(a^0b^2)^4

Answers

Answer:

,here is the answer

Step-by-step explanation:

here is your answer

Find(g-f)(x)
f(x)=1/x
g(x)=x^2+2x-5

a. 1/x-x^2-2x+5
b.1/x+x^2+2x-5
c.x^2+2x-5-1/x
d.1/x+x^2-5

Answers

Answer:

x^2+2x-5 - 1/x

Step-by-step explanation:

f(x)=1/x

g(x)=x^2+2x-5

(g-f)(x) = x^2+2x-5 - 1/x

Answer:

c. x² + 2x - 5 - 1 / x

Step-by-step explanation:

f ( x) = 1 / x.

g ( x) = x² + 2x - 5

so,

( g - f) ( x) = x² + 2x - 5 - 1 / x

I took 18 pencils from the box. this is equivalent to 2/5 of the total number of pencils.
How many pencils were there in the box originally. Show your work.

Answers

45
if 18 is 2/5, than 9 is 1/5. That means that 5/5 is 45.
Hope this helps!

Answer: 45 pencils were in the box originally

Step-by-step explanation:

Suppose there were x pencils in the box originally. Since 18 pencils is equal to 2/5 of the total number of pencils in the box originally, set 18 equal to 2/5x or

18=2/5x

Now solve

x = 18x5/2 = 45

Which option shows the graph of 3y+18>5x

Answers

Hi, I'm so sorry I can't answer that. but I have something you can answer that. Search in browser or anything searcher that you have "Quickmath" or "Cymath" all your equations,problems can solved

Step-by-step explanation:

i hope it helps

Assume that you purchased a new car today and financed $55,000 of the price on a 72-month payment contract with a nominal rate of 6.00%. Further, assume that you plan on paying off the balance of the car loan after you make your 48th payment. How much will your loan balance be when you pay off the car?

Answers

Answer:

The amount that your loan balance will be when you pay off the car is $20,566.18.

Step-by-step explanation:

Step 1. Calculation of monthly payment

This can be calculated using the formula for calculating the present value of an ordinary annuity as follows:

PV = P * ((1 - (1 / (1 + r))^n) / r) …………………………………. (1)

Where;

PV = Present value or the cost of the new car = $55,000

P = Monthly payment = ?

r = Monthly nominal rate = Nominal rate / 12 = 6% / 12 = 0.06 / 12 = 0.005

n = number of months = 72

Substitute the values into equation (1) and solve for P, we have:

$55,000 = P * ((1 - (1 / (1 + 0.005))^72) / 0.005)

$55,000 = P * 60.3395139355201

P = $55,000 / 60.3395139355201 = $911.51

Step 2. Calculation of the loan amount balance when you pay off the car

This can be calculated using the ballon payment formula as follows:

P = (PV - (Ballon / (1 + r)^n)) * (r / (1 – (1 + r)^-n)) ...................... (1)

Where:

P = Monthly payment = $911.51

PV = Present value or the cost of the new car = $55,000

Ballon = Ballon payment or the loan amount balance when you pay off the car = ?

r = Monthly nominal rate = Nominal rate / 12 = 6% / 12 = 0.06 / 12 = 0.005

n = number months to pay off the loan amount balance = 48

Substituting the values into equation (1) and solve for Ballon, we have:

911.51 = (55,000 - (Ballon / (1 + 0.005)^48)) * (0.005 / (1 - (1 + 0.005)^-48))

911.51 = (55,000 - (Ballon / 1.27048916109538)) * 0.0234850290479363

911.51 / 0.0234850290479363 = 55,000 - (Ballon / 1.27048916109538)

38,812.39 = 55,000 - (Ballon / 1.27048916109538)

Ballon / 1.27048916109538 = 55,000 - 38,812.39

Ballon / 1.27048916109538 = 16,187.61

Ballon = 16,187.61 * 1.27048916109538

Ballon = $20,566.18

Therefore, the amount that your loan balance will be when you pay off the car is $20,566.18.

60.3 60.44 witch one is greater

Answers

60.44 is greater than 60.3
-you can see this when you subtract 60.3 from 60.44 this would leave a 0.11 which is a positive number.
-thus meaning 60.44 is larger/greater.

what is the best estimate of (-3/8)(17 5/6)​

Answers

Answer:

-11

Step-by-step explanation:

Given the expression (-3/5)(17 5/6)

Converting the mixed to improper fraction

​(-3/5)(17 5/6)

=  (-3/5)(107/6)

= (-3*107)/(5*6)

= -321/30

= -10.7

Hence the required best estimate is -11

If f(x)=x^2−8x and g(x)=−12x^2 what is g(f(−4))?

Answers

Answer:

-27648

Step-by-step explanation:

In this problem, we are looking for the function of g in terms of the function f. Simply put, we just replace the variable x in the function g with f(-4).

Step 1, writing g(f(-4)):

[tex]g(f(-4))=-12(f(x))^2[/tex]

Great! Let us substitute f(x) with the given expression.

Step 2, substituting and simplifying:

[tex]\\g(f(-4))=-12(x^2-8x)^2\\g(f(-4))=-12((-4)^2-8*(-4))^2\\g(f(-4))=-12(16+32)^2\\g(f(-4))=-12*2304\\g(f(-4))=-27648[/tex]

g(f(-4) is [tex]\fbox{-27648}[/tex].

I hope this helps! Let me know if you have any questions :)

A. If I do something for 30 seconds every day for a whole year, how long did I do it in total.

B. If I do something for 10 seconds every day for a whole year, how long did I do it in total.​

Answers

Answer: 120 minutes

Step-by-step explanation:

Answer:

A. 10,950 seconds, 182.50 minuets, and about 3 hours

B. 3,650 seconds, about 60 minuets, or about 1 hour.

Step-by-step explanation:

A. We can multiply the seconds by the days in a year to get our answer, and we can simply divide if we want to get the amount of minuets or hours.

B. Same thing as "A", but all we do here, is multiply 10 by 365. :)


EX2. Find the solution of the following matrix using
Gauss elimination method, working 4D.
2.37 X1+3.06 X-4.28X, -1.76
1.46 Xi - 0.78 X+3.75X4.69
-3.69 X: +5.13 X:-1.06X, 5.74

Answers

Answer:

please post a more cohesive question. The values are very confusing

Other Questions
Antiderivative of Acceleration is??? What is the slope-intercept form of the equation representing this function? five map symbol used in the guided Which of the following cartoon descriptions is an example ofdehumanization?A. A young girl with short hair who's dressed like a boyB. An animal who looks like a child carrying books to schoolC. An older person made up to look like a younger man who isswimmingD. A person who looks like a donkey with long ears and a long nose Which of the following represents the solution to the inequality 215-2xl-3315?O (-60,-2) (7.00)O (-0,1.5) (7.5.00)O 1-2, 7]O [1.5, 7.5] The mean score was 72. The standard deviation was 7 percentage-points. Based on this information, what is the bestapproximation for the number of students who scored 79 or better? Identify whether the situations described below are example of uneven cash flows or annuity payments.a. You recently moved to a new apartment and signed a contract to pay monthly rent to your landlord for a year. b. SOE Corp. hires an average of 10 people every year and matches the contribution of each employee toward his or her retirement fund. c. Franklinia Venture Capital (FVC) invested in a budding entrepreneurs restaurant. The restaurant owner promises to pay FVC 10% of the profit each month for the next 10 years. d. You have committed to deposit $600 in a fixed interestbearing account every quarter for four years. The number of hours per week that the television is turned on is determined for each family in a sample. The mean of the data is 34 hours and the median is 30.2 hours. Twenty-four of the families in the sample turned on the television for 19 hours or less for the week. The 8th percentile of the data is 19 hours. Step 4 of 5 : What is the value of the 50th percentile Epinephrine (adrenaline) is a hormone secreted into the bloodstream in times of danger and stress. It is 59.0% carbon, 7.15% hydrogen, 26.20% oxygen, and 7.65% nitrogen by mass and has a molar mass of 183 g/mol. Determine the empirical formula for Epinephrine. may I please be assisted with the question that requires filling in the missing words The specific heat of a substance is a measure of how much energy is required to raisethe ______one degree per one unit of mass. Which of the following proves trinagle ABC =~ trinagle DEF? Please help me step-by-step with this please, and if you give just a straight answer with no proof then Ima just assume that you are here answering incorrectly and are just here for the points!! Which function is positive for the entire interval [3, 2]?On a coordinate plane, a curved line with a minimum value of (0, negative 3) crosses the x-axis at (negative 3, 0) and (3, 0), and crosses the y-axis at (0, negative 3).On a coordinate plane, a curved line with a minimum value of (2, negative 3) crosses the x-axis at (negative 1, 0) and (5, 0), and crosses the y-axis at (0, negative 1.5).On a coordinate plane, a curved line with a minimum value of (2, 4) and a maximum value of (0.5, 6), crosses the x-axis at (negative 1.5, 0) and crosses the y-axis at (0, 5).On a coordinate plane, a curved line with a minimum value of (negative 1.75, negative 3.9) and a maximum value of (0, 2), crosses the x-axis at (negative 2.2, 0), (negative 0.75, 0), and (0.75, 0), and crosses the y-axis at (0, 2). Jasmine bought a 2-liter bottle of soda. How many milliliters of soda were in the bottle? This chart shows four atoms, labeled W, X, Y, andThese stoms can combine with each other to formmoleculesWhich combination of atoms will form a molecule, butnot a compound?ElementAtomwYZWand XX and YO W and aY andoxygenhydrogencarbonoxygen Elena receives $131 per year in simple interest from three investments totaling $3000. Part is invested at 3%, part at 4% and part at 5%. There is $1000 more invested at 5% than at 4%. Find the amount invested at each rate.The amount invested at 3% is $___ the amount invested at 4% is $___ , and the amount invested at 5% is $___ Find the value of x if necessary you may learn what the marking on a figure indicate please helpppp!!! its timed!!!! thank u for helping!!!!! Which of the following equations is not balanced?A.C5H12(1)+802(8)5CO2(8)+ 6H2O(g)B.H3PO4(aq)+ 3NaOH(aq)Na3PO4(aq) + 3H20(1)C.PC15(8)+ 3H2O(g)H3PO46+ 5HCl(aq)D.Pb(NO3)2(aq)+ 2HCl(aq)PbCl2(s)+ 2HNO3(aq) 5Select the correct answer.Jeff types a sentence She wore a new dress yesterday. He erroneously typed winstead of e in the word dress. What is the accuracy of the typedsentence?OA.96.6 %OB.90 %.1 %OD.75.4 %ResetResetNext