A cat weighs 3.5 ounces when born. The cat grows 0.5 ounces each week. After
how many weeks does the cat way 16.5 ounces?

Answers

Answer 1

Answer:

10 weeks

Step-by-step explanation:

Answer 2

Answer: 26 weeks

Step-by-step explanation:

This is an example of an arithmetic sequence.

The first term = 3.5

common difference = 0.5

Using the formula for calculating the nth term of an arithmetic sequence :

[tex]t_{n}[/tex] = a + (n - 1 ) d

Therefore :

16.5 = 3.5 + ( n - 1 ) x 0.5

16. 5 = 3.5 + 0.5n - 0.5

16.5 = 3 + 0.5n

16.5 - 3 = 0.5n

13.5 = 0.5n

n = 13.5/0.5

n = 27

Therefore , it will take the cat (n-1)  weeks to weigh 16.5 ounce, which will be 27 - 1 = 26

check:

3.5 + 26 ( 0.5)

= 3.5 + 13

= 16.5


Related Questions

Part A: Write an equation of a line that is perpendicular to the line y = 2/3x + 5 and passes through the point (4, 0).
Part B: Explain how you determine the equation in 3-4 sentences using at least 6 of the words below.
Slope
y-intercept
x-intercept
perpendicular
opposite
reciprocal
substituted/substitution
slope-intercept
ordered pair

Answers

Step-by-step explanation:

First you need to make a line perpendicular to y=2/3x+5. To do that you have to know that, if we use y=ax+b, a1*a2=-1. That is if a1 and a2 are perpendicular. So we get 2/3*a2=-1. -1/ 2/3=a2. a2=-1.5. We get y=-1.5x+b. Fill in (4,0) on y=-1.5x+b abd we get 0=-1.5(4)+b. b=6

Answer:

y = (-3/2)x - 6

Step-by-step explanation:

slope of the line y= 2/3x + 5

slope = 2/3

for two perpendicular lines

slope1*slope2 = -1

so, slope2 = (-1)*(3/2) = -3/2

hence for it to pass (4,0)

slope2=(y2 - y1)/(x2 - x1)

-3/2 = (y - 0)/(x - 4)

cross multiplying

-3x -12 = 2y

the equation of the line is

y = (-3/2)x - 6


Solve for x and y:
28x-49y=35
4x-7y=5
A.The solution is (0, 0).
B.There are an infinite number of solutions.
C.X=3,y=1
D.There is no solution.

Answers

Answer:

D

Step-by-step explanation:

The lines are parallel, this means that they will never meet.

Answer: D no solution

Step-by-step explanation:

the first one is wrong because if they were both 0 than they would have to equal 0

the second one is wrong because no number works

the third one is wrong because it works on the second one but when you plug it into the first equation you get 95 = 35 which is incorrect.

D is the correct choice.

Which data set below has the weakest correlation?

Answers

Answer:

C.

Step-by-step explanation:

I just got it right

Solve the proportion. Show all work. 2x/3=20/5

Answers

Answer:

2x/3 = 4

2x = 4*3

2x = 12

x = 12/2

x = 6

Hope it helps...

What steps would you do to solve n/7 + 3 ≥ -4?

a Multiply by seven, then subtract three.
b Add three, then multiply by seven.
c Subtract three, then multiply by seven.
d Subtract three, then divide by seven.

Answers

The right answer is Option C.

Step-by-step explanation:

Given inequality is

[tex]\frac{n}{7}+3\geq -4[/tex]

We will first subtract three from both sides.

[tex]\frac{n}{7}+3-3\geq -4-3\\\frac{n}{7}\geq -7[/tex]

In the next step we will multiply both sides with 7 to determine n.

Therefore,

Subtract three, then multiply by 7.

The right answer is Option C.

Keywords: inequality, subtraction

Learn more about subtraction at:

brainly.com/question/9967230brainly.com/question/9961057

#LearnwithBrainly

3.) mr. smith’s class sold wrapping paper for $3.50 each and mr. davis’ class sold magazines for $2.75 each. together, the classes sold 72 items and earned $222 for their school. a. write and solve a system of equations that model the problem. show all your work. Need answer ASAP!!!!!

Answers

Answer:

The number of wrapping paper sold was 32 and the number of magazines sold was 40

Step-by-step explanation:

Let

x ----> the number of wrapping paper sold

y ----> the number of magazines sold

we know that

The classes sold 72 items

so

[tex]x+y=72[/tex] ----> equation A

The classes earned $222 for their school

so

[tex]3.50x+2.75y=222[/tex] ----> equation B

Solve the system of equations by graphing

Remember that the solution of the system of equations is the intersection point both graphs

using a graphing tool

The solution is (32,40)

see the attached figure

therefore

The number of wrapping paper sold was 32 and the number of magazines sold was 40

How many 3/8 go into 3/2

Answers

Answer: 3/8 can’t go to 3/2

Step-by-step explanation:

what is an expression equivalent to 48+30​

Answers

Answer:

Step-by-step explanation:

48 + 30 = 6(8 + 5)

Answer:78

Step-by-step explanation:

Equivalent expression is to carry out the addition process.

48 + 30 = 78



The difference of r and 18 is equal to five

Answers

Answer: 23

Step-by-step explanation: 18+5=23

23-5=18

R=23

The difference of r and 18 means subtraction: r - 18 = 5

To isolate r, you add 18:

r = 18 + 5 or 23

r = 23

Austin correctly answered 92% of the questions on a geography quiz. Liz answered 47 of the 50 questions correctly. Who earned the higher score? Explain

Answers

Liz scored higher.

Step-by-step explanation:

Given,

Correct answers by Austin = 92%

Total questions = 50

Correctly answered by Liz = 47

Percent of Liz's correct answers = [tex]\frac{Correct\ answers}{Total\ questions}*100[/tex]

Percent of Liz's correct answers = [tex]\frac{47}{50}*100[/tex]

Percent of Liz's correct answers = [tex]\frac{4700}{50} = 94\%[/tex]

As 94% is higher than 92%, therefore;

Liz scored higher.

Keywords: percent, division

Learn more about division at:

brainly.com/question/8772395brainly.com/question/8753703

#LearnwithBrainly

A 22inch piece of steel is cut into three pieces so that the second piece is twice as long as the first piece, and the third piece is one inch more than four times the length of the first piece. Find the length of the pieces

Answers

Answer:

The length of the pieces is 3 inch, 6 inch and 13 inch.

Step-by-step explanation:

Let, the length of the first piece is x inch.

Hence, the length of the second piece is 2x.

It is given that, the length of the third piece is one inch more than four times of the first piece. Hence, the length of the third piece is 4x + 1 inch.

The total length of the steel is 22 inch.

Hence, x + 2x + 4x + 1 = 22

or, 7x = 21

or, x = 3.

The length of the second piece is [tex]2x = 2\times3 =[/tex] 6 inch.

The length of the third piece is [tex]4x + 1 = 12 + 1 =[/tex] 13 inch.

Final answer:

The lengths of the three pieces of steel are 3 inches, 6 inches, and 13 inches respectively.

Explanation:

Let's denote the length of the first piece as x. According to the problemm, the second piece is twice as long as the first piece, which could be represented as 2x. The third piece is said to be one inch more than four times the length of the first piece, which could be represented as 4x + 1. Since the total length of the steel is given as 22 inches, we write down this equation: x + 2x + 4x + 1 = 22.

Simplifying this equation, we get: 7x + 1 = 22. We then subtraact 1 from both sides to isolate the term with x on one side: 7x = 21. Finally, we solve for x by dividing both sides by 7: x = 3.

Therefore, the length of the first piece of steel is 3 inches. The length of the second piece is twice that, or 6 inches. The length of the third piece is four times the length of the first piece plus one inch, or 13 inches.

Learn more about Algebra here:

https://brainly.com/question/32436021

#SPJ3

Joe made a scale drawing of the community pool in his town. the pool has a perimeter of 77 meters, what is the length and width in meters?

Answers

Answer:

The length of the pool is 28 meters and the width of the pool is 10.5 meters.

Step-by-step explanation:

In the scale drawing of Joe, the community pool has (length : width) = 8 : 3

Let the actual length of the pool is 8x meters and the actual width is 3x meters.

Now, given that the actual pool has a perimeter of 77 meters.

So, 2(8x + 3x) = 77

⇒ 22x = 77

x = 3.5

So, the length of the pool is 8x = 8(3.5) = 28 meters and the width of the pool is 3x = 3(3.5) = 10.5 meters. (Answer)

Answer:

The length of the pool is 28 meters and the width of the pool is 10.5 meters.

Step-by-step explanation:

What percent of your budget of $6000 would your rent be if you pay $600 in rent?

Answers

Answer:

ur answer ( I think so it will be correct)

Step-by-step explanation:

$6000 percent $600

= 6000/600

= 60÷6 percent

= 10 percent

I THINK ITS HELPFULL TK YOU

What percent of your budget of $6000 would your rent be if you pay $600 in rent?Answer: 10%

(-5, -5), 6x - y = 1
Write an equation of the lines that passes through the given point and is parallel to the given line.

Answers

Answer:

Step-by-step explanation:

6x - y = 1

6x - 1 = y.....rearrange

y = 6x - 1......slope is 6. A parallel line will have the same slope.

y = mx + b

slope(m) = 6

(-5,-5)...x = -5 and y = -5

now we sub and find b, the y int

-5 = 6(-5) + b

-5 = -30 + b

-5 + 30 = b

25 = b

so ur equation is : y = 6x + 25 <==

Quadrilateral TRPK ~ Quadrilateral EWMN Which statements are correct? Select all that apply. Question 8 options:

TK/NM = RP/EW
∠R≅∠W
∠P≅∠N
RP/WM = TR/EW = TK/EN

Answers

For starters, we know that the angle measures have to be similar or the same, since similar shapes always contain the same angle measures. We can use the way that the letters of each shape line up to identify which angle correspond to each other. Angle R should be congruent to angle W, but angle P is not congruent to N, it would be congruent to M though. Now we get to the tricky part, figuring out line segment lengths. Again using the letters in each shape, we can see that TK and NM do not correspond to each other, and thus cannot be congruent or similar. But, with RP/WM, this is correctly lined up with each other. TR/EW, same with this one, and TK/EN is also the same. With this Info, we can figure out the dilation of the smaller shape, or just figure out if they are similar or not. (So pick B. And D.)

Suppose a refrigerator that sells for$700 costs $85 a year for electricity. Write an expression for the cost to buy and run the refrigerator for x years.

Answers

first refrigerator cost

C(x1)=700+85x
C(10)= 700+850
C(10)= 1550

refrigerator 2nd

C(x2) = 1000+25x
C10) =1000+250
C(10)=1250
Now you know it.
same cost

700+85x=1000+25x
60x=300
x= 5 years

Answer:

Step-by-step explanation:

700 + 85x <=== ur expression

A 2-column table has 5 rows. The first column is labeled x with entries negative 2, negative 1, 0, 1, 2. The second column is labeled f (x) with entries 12.5, 2.5, 0.5, 0.1, 0.02.
Which exponential function is represented by the table?

f(x) = 0.2(0.5x)
f(x) = 0.5(5x)
f(x) = 0.5(0.2x)
f(x) = 0.2(0.2x)

Answers

Answer:

[tex]f(x)=0.5\cdot (0.2)^x[/tex]

Step-by-step explanation:

Given the table

[tex]\begin{array}{cc}x&f(x)\\ \\-2&12.5\\ -1&2.5\\0&0.5\\1&0.1\\2&0.02\end{array}[/tex]

The exponential function can be written  [tex]f(x)=a\cdot b^x.[/tex] To find [tex]a[/tex] and [tex]b,[/tex] substitute some values:

When [tex]x=0,\ f(x)=0.5,[/tex] then

[tex]0.5=a\cdot b^0\Rightarrow a=0.5\ [ b^0=1][/tex]

When [tex]x=1,\ f(x)=0.1,[/tex] then

[tex]0.1=0.5\cdot b^1\Rightarrow 0.5b=0.1,\ b=0.2[/tex]

Thus,

[tex]f(x)=0.5\cdot (0.2)^x[/tex]

Check remaining values:

[tex]f(-2)=0.5\cdot 0.02^{-2}=0.5\cdot 5^2=0.5\cdot 25=12.5\\ \\f(-1)=0.5\cdot 0.2^{-1}=0.5\cdot 5=2.5\\ \\f(2)=0.5\cdot 0.2^2=0.5\cdot 0.04=0.02[/tex]

What is the rate of change in the equation y=-2x+7

Answers

Answer:

2

Step-by-step explanation:

m is the slope

y=mx+b

y is equation

m is slope (movement)

b is base

Final answer:

In the equation y=-2x+7, the rate of change (slope) is -2, denoting that for every unit increase in x, y decreases by 2. The +7 represents the y-intercept, the value of y when x equals zero. This concept is fundamental in understanding linear equations, where the rate of change is constant.

Explanation:

In the equation y=-2x+7, the rate of change is represented by the coefficient of the x variable, which in this case is -2. This signifies that for each unit increase in x, the value of y decreases by 2. In the context of graphing, this slope (or rate of change) would mean for every step to the right (increase in x), you would take two steps down (decrease in y). For example, if x were to increase from 1 to 2, y would decrease from 5 (plugging x=1 into the equation gives y=5) to 3 (plugging x=2 into the equation gives y=3).

The rate of change is a crucial concept in algebra and lies at the heart of most mathematical models. It plays a vital role in calculus, physics, and engineering, amongst other disciplines. The second number in the equation, '+7', signifies the y-intercept, which is the value of y when x equals zero. This equation represents a straight line, as all linear equations do, and the rate of change (or the slope) is constant across this line.

Learn more about Rate of Change here:

https://brainly.com/question/31226174

#SPJ2

Ricardo is building a new garden and is buying soil to fill it up. he buys 4 kilograms of soil for $10.00.
what is the unit rate for the soil in kilograms?

Answers

10/4=$2.5. Is the answer

what is the value of (5r+1/5) squared when r=0

Answers

Answer:1/5

Explanation The answer is 1/5 because 05×0 is zero so 0+1/5 equals 1/5

Answer:

1/5

Step-by-step explanation:

PLZ HELP 20 points and brainliest
Select TWO equations that have infinitely many solutions.
A.
2(7 – 4x) = 4(5 – 2x) – 6
B.
6(x – 9) = 6x – 54 + x
C.
4(x + 4) = 2(2x + 5) + 6
D.
5(x – 8) + 10 = 5(x + 2)

Answers

Answer: A.   2(7 – 4x) = 4(5 – 2x) – 6

C.   4(x + 4) = 2(2x + 5) + 6

Step-by-step explanation:

Infinitely solution means when all numbers are solutions . Checking the equations given one by one

A. 2(7- 4x ) = 4(5 - 2x ) - 6

Expanding , we have

14 - 8x = 20 - 8x - 6

14 - 8x = 20 - 6 - 8x

14 - 8x = 14 - 8x , this is just a typical example of infinitely many solutions because any value of x chosen will satisfy the equation.

B. 6(x - 9 ) = 6x - 54 + x

Expanding , we have

6x - 54 = 6x + x - 54

6x - 54 = 7x - 54

collecting the like terms

6x - 7x = -54 + 54

- x = 0

x = 0

This equation has just one solution at x = 0 , because 0 is the only value of x that will satisfy the equation

C. 4( x + 4 ) = 2 ( 2x + 5 ) + 6

4x + 16 = 4x + 10 + 6

4x + 16 = 4x + 16

This equation also have infinitely many solutions

D. 5 ( x - 8 ) + 10 = 5 ( x + 2 )

5x - 40 + 10 = 5x + 10

5x - 30 = 5x + 10

This equation has no solution.

Therefore , the equations with infinitely many solutions are equations A and C

6ab-8ab how do you simplify this monomials

Answers

Just add them together it would be -2ab

To simplify the monomials 6ab-8ab, subtract the coefficients of the like terms and combine the result with the common variables, resulting in -2ab.

The question asks how to simplify the monomials 6ab-8ab. This simplification process involves combining like terms. Both terms have the same variables (a and b), so they are like terms and can be combined by subtracting their coefficients.

Here are the steps to simplify:

Identify the coefficients of the like terms: 6 and -8.

Subtract the coefficients: 6 - 8 = -2.

Combine the result with the common variables: -2ab.

Therefore, the simplified form of 6ab-8ab is -2ab.

You have 125% of the tickets required for a souvenir. What fraction of the required tickets do you have? Do you need more tickets for the souvenir?
Explain. Write your answer in simplest form.



PLEASEEEE HELP!!

Answers

Answer:

The answer is that it requires 4/5 of your total amount of tickets

Step-by-step explanation:

You break it down originally into fourths, 25x4 = 100% or 100. 125% would be 125 tickets since its by percentage. you'd have a remaining 25 tickets after purchase

Answer:

It is 4/5

Step-by-step explanation:

dont worry

Find the maximum value or minimum value for the function f(x) = 0.15(x + 1)² - 3.
0.15
3
1
-3

Answers

Answer:

The minimum value for  [tex]f(x) = 0.15(x + 1)^2 - 3[/tex] is [tex]-3[/tex].

Step-by-step explanation:

Given function is [tex]f(x) = 0.15(x + 1)^2 - 3[/tex]

We need to find the maximum value or the minimum value for the function.

Now, differentiate [tex]f(x) = 0.15(x + 1)^2 - 3[/tex]  w.r.t [tex]x[/tex].

[tex]f'(x) =\frac{d}{dx}(0.15(x + 1)^2 - 3)\\f'(x)=\frac{d}{dx}(0.15(x+1)^2-\frac{d}{dx}(3)\\[/tex]

[tex]f'(x)=2\times 0.15(x+1)\frac{d}{dx}(x+1)-0\\f'(x)=0.3(x+1)(1)\\f'(x)=0.3(x+1)[/tex]

Now, we will equate [tex]f'(x)=0[/tex] to find critical point.

[tex]0.3(x+1)=0\\x=-1[/tex]

Plug this critical point in to the function [tex]f(x) = 0.15(x + 1)^2 - 3[/tex]  we get,

[tex]f(-1) = 0.15(-1 + 1)^2 - 3\\f(-1)=-3[/tex]

Also, [tex]f''(x)=0.3[/tex] which is positive, We have minimum value.

So, the minimum value for  [tex]f(x) = 0.15(x + 1)^2 - 3[/tex] is [tex]-3[/tex].

(6c)^3
---------
c
please help

Answers

216n^3
-----------
c

i think that's correct

Answer:

216c^3

Step-by-step explanation

3x +y = 14
Rewrite equation in slope intercept form solve for y

Answers

The answer is Y= -3x + 14
Final answer:

To rewrite the equation in slope-intercept form and solve for y, we isolate y on one side of the equation by subtracting 3x from both sides. The resulting equation is y = -3x + 14.

Explanation:

To rewrite the equation in slope-intercept form and solve for y, we need to isolate y on one side of the equation.

Given the equation 3x + y = 14, we can start by subtracting 3x from both sides to get y alone.

The equation becomes y = -3x + 14, which is now in slope-intercept form (y = mx + b) where the slope (m) is -3 and the y-intercept (b) is 14.

Learn more about rewriting equations in slope-intercept form here:

https://brainly.com/question/29095684

#SPJ2

Bonita said that the product of 56 × 123 is 73. How can you tell that her answer is wrong?

Answers

Answer:

It is wrong because the answer should be way greater than the factors.

by the way the anwer is 6888

Step-by-step explanation:

Answer:

5/6 of a number cannot be greater than the number.

Step-by-step explanation:

PLEASE HURRY !!

Washington Park is a grassy area bordered by three streets as pictured below. A park is shaped like a triangle. The base is 400 yards and the height if 500 yards. What is the area of the park to the nearest square yard?

Answers

Answer:

a, it should be 10000

Step-by-step explanation:

400 x 500 is 200000 and the formula is

A=(b)(h)1/2 so half of 200000 is 100000.

Answer:

A

Step-by-step explanation:

A. Suppose you have just inherited a sum of money. Let’s say you choose to invest the money. How much did you inherit? Choose an amount between $1000 and $100,000. Do not choose an increment of 1000. In other words, do not choose $1000, $2000, $5000, $14000, etc.
B. What is your interest rate? Choose a rate between 0.5% and 3%.
C. Using yearly compounding, calculate the accrued value after 5 years, 10 years, and 15 years. Show all work. You may show your work as an inserted image.

Answers

Amount =$48003.20

Step-by-step explanation:

Here apply the compound interest formula;

[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]

where;

P=Principal amount invested = $37500

r=rate of interest as a decimal, 2.5% =0.025

n=number of compounding per year=1

t=time period the amount in invested=10

In our case, the amount after investing will be;

[tex]A=37,500(1+0.025)^{10} \\\\A=37,500(1.025)^{10} \\\\A=48003.20[/tex]

Interest earned after the period= $48003.20-$37500 =$10503.20

Learn More

Compound Interest formula application: https://brainly.com/question/7014337

Keywords: inherit, sum, money, interest

#LearnwithBrainly

Adrian made the cakes shown below for a 3 cakes at the party Adrian will serve each guest 1/8 of a cake what is the greatest number of guests Adrian can serve?

Answers

Answer:

24 Guests

Step-by-step explanation:

3 x 8 = 24.

Answer:

since each guest is 1/8 of the cake and he has 3 cake . So the great number of the guest is 24....

Step-by-step explanation:

Should be 24 is the answer...

I hope this will help...Have a nice day...

Other Questions
What is the order of the numbers from least to greatest? A = 4.6 x 104 B = 2.4 x 103 C = 3.5 x 105 D = 6.3 x 104 A. C < A < B < D B. D < A < C < B C. B < C < A < D D. A < D < B < C the sum of two numbers is 53 and the difference is 3 . what are the numbers What is the electric potential energy of a system that consists of two protons 2.11015 m apart-as might occur inside a typical nucleus? Express your answer using two significant figures. Autonomic dysreflexia is characterized by a. hypotension and shock. b. hypertension and bradycardia. c. pallor and vasoconstriction above the level of injury. d. extreme pain below the level of injury. Deutsche Post DHL Group (DHL) has a culture that encourages job satisfaction. Some examples of the tactics the company uses include thanking employees for their contributions through thank-you notes and monetary rewards, supporting career development, and communicating honestly with employees. Thus, it can be said that DHL uses employee __________ tactics to manage their workers. create a political cartoon that shows why casework is such an important aspect of being an effective legislator mention the impact of appropriate age at marrige on population management In the space below, write an essay of at least 500 words analyzing Hamlets character during the course of the play. Specifically address the question of whether he is a man of action or a man of thought and whether, or why, that changes during the play. Your essay should: include an effective introductory and concluding paragraphs incorporate a variety of sentence structures and transitions defend your claim with appropriate rhetorical devices include views and information about performances with which you might disagree include properly formatted MLA citations How does the dmz impact the Korean Peninsula? A plat is a title to land, similar to an automobile title, that was designed to make land and title more easily transferable. A. TrueB. False A sonata form typically has what pattern in It?ABB AAB Solve the system of linear equations. (Enter your answers as a comma-separated list. If there is no solution, enter NO SOLUTION. If the system has an infinite number of solutions, express x1, x2, and x3 in terms of the parameter t.)2x1 + x2 2x3 = 44x1 + 2x3 = 104x1 + 5x2 17x3 = 15 Predict the number of tickets that will be sold if the price is $12 per ticket select the correct answer read the excerpt from you are old father William by Lewis Carroll what figure of speech is used you are old said the youth run was hardly suppose that your I was as steady as ever let you balance an eel on the end of your nose what made you so awfully cleversimile metaphor exaggeration dramatic irony paradox For the following formula, C7H10NBr, calculate the IHD and select all the types of unsaturation that might be present in the molecule based on the IHD. Solve the complex expression and show work if you can GED Geography > 03: Canada, Mexico, and Brazil2. Why is there a strong cultural influence from Africa in the northeast region?0O African colonists came to the area to establish sugar cane plantations.0African slaves were forced to migrate from the southeast region.0O African slaves were brought in the area to work on sugar cane plantations.DE - 2a = - 20What is the most simplest answer? When a scatter chart of data shows a nonlinear relationship, the nonlinear model can be expressed as:______. A) Y = 0 + 1X + (2X)2 + B) Y = 0 + 1X + 2X2 + C) Y = 0 + 1X + 2X D) Y = 0 + 1X2 + 2X2 + The ethics code that defines the values that help create an ethically-sound environment for all workers and outlines the shared accountability of the entire company is called a(n)_______________. Steam Workshop Downloader