the cost (in dollars) of making n birthday cakes is represented by C=24n+35. How many birthday cakes are made when the cost is $395? explain your reasoning

Answers

Answer 1

395 = 24n +35
subtract 35 from both sides
360 =24n
divide both sides by 24
15=n

Related Questions

Kevin has three fourths yard of string he uses one third for a school project how many yards of string did he use on the project

_______
hint the answer is not 1/3 or 33.33333333%

Answers

3/4-1/3. Do that and tell me when your done

3/4 yard,

he used 1/3

3/4 * 1/3 = 3/12 = 1/4

he used 1/4 yard

another way to write (3x1000)+(3x10)+(3x1/100)+(3x1/1000)

Answers

That'd be 3000 + 30 + 0.03 + 0.003, or 3030.033

Expression after the simplification is 3030.033.

What is an expression?

Expression in mathematics is the combination of variables with the use of operations and predetermined rules. It could appear as an equation, a set of numbers, etc.

Given, expression

(3x1000)+(3x10)+(3x1/100)+(3x1/1000)

Simplifying,

(3x1000)+(3x10)+(3x1/100)+(3x1/1000)

= 3000 + 30 + 3/100 + 3/1000

= 3030033 / 1000

or, = 3030.033

Hence, the value of the expression is 3030.033.

To learn more about the expression;

brainly.com/question/24242989

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Given f(x) = −9x5 − x4 + 3x3 − 8 and g(x) = −9x5 − 3x3 − 9x2 + 7, find and simplify f(x) − g(x)

Answers

f(x) − g(x) =  −9x^5 − x^4 + 3x^3 − 8 − (−9x^5 − 3x^3 − 9x^2 + 7)
f(x) − g(x) =  −9x^5 − x^4 + 3x^3 − 8 + 9x^5 + 3x^3 + 9x^2 − 7
f(x) − g(x) = − x^4 + 6x^3 +  9x^2 - 15
hope it helps

A train is traveling from New Orleans to Memphis at a constant speed of 79 mph New Orleans and Tennessee are 395.1 miles apart how long will the train take to Tennessee

Answers

[tex]\bf \stackrel{distance}{d}=\stackrel{rate}{r}\cdot \stackrel{time}{t} \qquad \qquad 395.1=79t\implies \cfrac{395.1}{79}=t[/tex]

Answer:

About 5.0 hours

Step-by-step explanation:

If you work 37.5 hours per week at $10.65 per hour, how much is your gross pay for a two-week period? (Round off your answer to the nearest cent.)

Answers

it is 798.75 without rounding off the nearest cent.

A square sheet of art paper has an area of 625 square inches. What is the minimum side length of an easel that supports the whole sheet of paper?

Answers

If the area of the paper is 625 sq in, the length of one side of this square is sqrt(625 sq in), or 25 inches. That's the min. side length of an easel that is to support the whole sheet of paper along its lowest side.

area of a square = side^2

to find the length of a side using area find the square root of the area

sqrt(625) = 25

so the easel has to be at least 25 inches

Jared used one whole number 2/5 of soil for his garden. He is digging another garden that will need 1/5 as much soil as the original. How much will he use total.

Answers

Assuming "one whole number 2/5 of soil for his garden" mean 1+2/5(equal to 7/5) then 1/5 of the original garden soil would be:
1/5 * 7/5 = 7/25

Then you need to add the first sum(7/5) with the second sum(7/25) to get the total soil. The calculation would look like this:
7/5 + 7/25= 35/25 + 7/25= 42/25= 1 + 17/25

In 2001, the United States' oil consumption was 7,297.4 millions of barrels, while Japan's was 1,979.4 millions of barrels. How many more barrels did the United States consume than Japan?

Answers

the answer would be 5,318,000 more barrels were consumed by the U.S than Japan

The United states consumed 5,318 millions of barrels more then Japan.

The observations you made in the unit circle can help you determine the x‑ and y‑coordinates of special points on the circle without memorizing the circle. Analyze some of the patterns by completing the parts below.
a. Look at all the ordered pairs whose angles are of the form k pi/4, where k is an integer. What do you notice?
b.Now look at the ordered pairs whose angles are of the form k pi/6 or k pi/3. What do you notice about their coordinates?
c.How can you determine if the coordinates of a point are positive or negative?

Answers

a. Look at all the ordered pairs whose angles are of the form k pi/4, where k is an integer. What do you notice? These ordered pairs would be found along the lines that make 45 deg, 135 deg, 225 deg and 270 deg angles as measured from the positive x-axis. Every such line is made up of an infinite number of dots representing such pairs. And the x- and y-components of these pairs would be equal in magnitude (but could have different signs).

A nationwide survey of college seniors by the university of michigan revealed that almost 70% disapprove of daily pot smoking, according to a report in parade. if 12 seniors are selected at random and asked their opinion, find the probability that the number who disapprove of smoking pot daily is
a. anywhere from 7 to 9;
b. at most 5;
c. not less than 8.

Answers

9 to 9 ration bro...7 to 9 is too little everyone be doing this research can’t support this because the researchers be doing it too tbh

What is (f * g * h)(x) Refer the the image below.

Answers

[tex]\bf \begin{cases} f(x)=\sqrt{x+7}\\ g(x)=4x\\ h(x)=x^2\\ (f\circ g\circ h)(x)=f(~~g(~~h(x)~~)~~) \end{cases}\\\\ -------------------------------\\\\ g(~~h(x)~~)=4\boxed{h(x)}\implies g(~~h(x)~~)=4\boxed{x^2} \\\\\\ f(~~g(~~h(x)~~)~~)=\sqrt{\boxed{g(~~h(x)~~)}+7} \\\\\\ f(~~g(~~h(x)~~)~~)=\sqrt{\boxed{4x^2}+7}[/tex]

how to turn negative mixed fraction into decimal

Answers

first off, if it's mixed, you'd want to convert it to "improper" first, and then do the division... say hmm - 3 and 1/7

[tex]\bf \stackrel{mixed}{-3\frac{1}{7}}\implies -\cfrac{3\cdot 7+1}{7}\implies \stackrel{improper} {-\cfrac{22}{7}}\implies -22\div 7\implies -3.\overline{142857}[/tex]

the line over the decimal part is because is a "recurrent decimal", or repeating one.

Given f(x) = −9x5 − x4 + 3x3 − 8 and g(x) = −9x5 − 3x3 − 9x2 + 7, find and simplify f(x) − g(x)

Answers

a store buys a baseball cap for $5 and sells it for $20. what is the profit

Answers

the answer is $15
20-5

HECTOR PLANTED 185 FLOWERS IN 2 DAYS THERE WERE 5 VOLUNTEERS INCLUDING HECTOR WHO EACH PLANTED ABOUT THE SAME NUMBER OF FLOWERS ABOUT HOW MANY FLOWERS DID THEY PLANT

Answers

The answer is very simple each had planted 37 flowers

The skateboard that Jose wants costs $90 has a coupon for 1/5 off retail price. If Jose saves $18 a week, how long will it take to save enough to buy the skateboard?

Answers

1/5 of 90 is 18. So subtract 90 - 18 = 72. Then you would divide 72 by 18 to get 4

Answer:

4 weeks

Step-by-step explanation:

9,032,504.75 in word form

Answers

Nine million thirty-two thousand five hundred four and seventy-five hundredths

nine million, thirty-two thousand, five hundred four and seventy-five hundredths

It takes 45 minutes for 4 people to paint 5 walls.
How many minutes does it take 6 people to paint 4 walls

Answers

4 people x 45 minutes = 180 minutes total to paint 5 walls

180/5 = 36 minutes of man work per wall

36 * 4 walls = 144 total minutes

144/6 people = 24 minutes total

How do I find Primefactor of 150

Answers

150

2 75

3 25

5 5

5 1

2 * 3 * 5* 5

A prime factor is a factor that cannot be factored further.

Starting with 150, determine some of the factors: 150 = 15(10)

Continue: 3 5 2 5 = {2, 3, 5} None of these can be factored, so the prime factors of 150 are {2, 3, 5}. Of course, you could include 1 as a prime factor, in which case the prime factor list would be {1, 2, 3, 5}.

what is 58/7 as a mixed number

Answers

58/7.......how many times does 7 go into 58 without going over....it goes in there 8 times....so 8 is ur whole number.....7 * 8 = 56....now take ur 58 and subtract 56 (58 - 56 = 2)....that is ur numerator, so basically, the remainder is ur numerator.....and the denominator, it stays the same.
so we end up with : 8 2/7

Answer:

[tex]8\frac{2}{7}[/tex] and or 8 2/7

have an amazing day!

Step-by-step explanation:

What is the slope given the equation, y = 2x

a) 1

b) 12

c) 2

d) x'

Answers

Hello there!

We need to use the slope intercept form to find the slope.
Keep in mind that the slope intercept is an equation of the form Y = mx + b, where m is the slope and b is the y-intercept.

So we have y = 2x
They say that the m is the slope. So in this equation, the m is 2. Right?

So for that reason, the answer is option C

Good luck with your studies!

rounded to hundred how can I round to hundred

Answers

If you are talking about any number then.....
imagine a mountain, any number less than 5 is only the left and any number greater than 5 is on the right

Here, for example, let's try 13

look at 13 on the pyramid .... since it's not a the top of the mountain so it falls back down to 10... it rounds down to 10
Now let's try 18 ...hmmm.... 18 is not at the top either so it falls as well. It falls down to 20 it rounds up to 20

how about 15 u might be asking...it is at the top...15 is a little different ...make sure no one is looking and push it off the right side and falls to 20. Also rounding up to 20

5
4 6
3 7
2 8
1 9
0 10

What is the product?

(4x)(-3x8) (-7x3)

Answers

Answer: [tex]84x^{12}[/tex]

Step-by-step explanation:

The given expression : [tex](4x)(-3x^8) (-7x^3)[/tex]

Open brackets, we get

[tex]4x\cdot-3x^8\cdot-7x^3\\\\=4\cdot-3\cdot-7\cdot x\cdot x^8\cdot x^3[/tex]

Using law of exponents:-

[tex]a^m\cdot a^n=a^{m+n][/tex]

[tex]84\cdot x^{1+8+3}\\\\=84x^{12}[/tex]

Hence, the product [tex](4x)(-3x^8) (-7x^3)=84x^{12}[/tex]

Answer:

C. 84X^12

Step-by-step explanation:

edge 2021

Evaluate 11x -4 when x = -4

Answers

Just replace x=-4 in the equation

11x - 4, x = -4

11(-4) - 4 = -44 - 4 = -48

Hope it helped!

substitute -4 for x
11x-4=-44

Find the extreme values of f subject to both constraints f(x,y) = 2x^2+3y^2-4x-5, x^2 + y^2 <=16

Answers

[tex]f(x,y)=2x^2+3y^2-4x-5[/tex]
[tex]f_x=4x-4=0\implies x=1[/tex]
[tex]f_y=6y=0\implies y=0[/tex]

[tex]f(x,y)[/tex] has only one critical point at [tex](x,y)=(1,0)[/tex]. The function has Hessian

[tex]\mathbf H(x,y)=\begin{bmatrix}f_{xx}&f_{xy}\\f_{yx}&f_{yy}\end{bmatrix}=\begin{bmatrix}4&0\\0&6\end{bmatrix}[/tex]

which is positive definite for all [tex](x,y)[/tex], which means [tex]f(x,y)[/tex] attains a minimum at the critical point with a value of [tex]f(1,0)=-7[/tex].

To find the extrema (if any) along the boundary, parameterize it by [tex]x=4\cos t[/tex] and [tex]y=4\sin t[/tex], with [tex]0\le t<2\pi[/tex]. On the boundary, we have

[tex]f(x(t),y(t))=F(t)=2(4\cos t)^2+3(4\sin t)^2-4(4\cos t)-5=32\cos^2t+48\sin^2t-16\cos t-5[/tex]
[tex]F(t)=35-16\cos t-8\cos2t[/tex]

Find the critical points along the boundary:

[tex]F'(t)=16\sin t+16\sin2t=16\sin t+32\sin t\cos t=16\sin t(1+2\cos t)=0[/tex]
[tex]\implies t=0,\dfrac{2\pi}3,\pi,\dfrac{4\pi}3[/tex]

Respectively, plugging these values into [tex]F(t)[/tex] gives 11, 47, 43, and 47. We omit the first and third, as we can see the absolute extrema occur when [tex]F(t)=47[/tex].

Now, solve for [tex]x,y[/tex] for both cases:

[tex]t=\dfrac{2\pi}3\implies\begin{cases}x=4\cos t=-2\\y=4\sin t=2\sqrt3\end{cases}[/tex]

[tex]t=\dfrac{4\pi}3\implies\begin{cases}x=4\cos t=-2\\y=4\sin t=-2\sqrt3\end{cases}[/tex]

so [tex]f(x,y)[/tex] has two absolute maxima at [tex](x,y)=(-2,\pm2\sqrt3)[/tex] with the same value of 47.

Monday’s high temperature was 5 degrees warmer than Sunday high temperature.tuesdays high temperature was eight degrees colder than Monday high temperature. How does Sunday’s high temperature compare to tuesdays

Answers

Sunday's high temp was 3 degrees warmer than Tuesdays

Answer: It means the high temperature of Sunday is 3 degrees warmer than the high temperature of Tuesday.

Step-by-step explanation:

Let the temperature on Sunday be 'x'.

So, Temperature of Monday would be

[tex]x+5[/tex]

Temperature of Tuesday would be

[tex]x+5-8\\=x-3[/tex]

So, Comparing the Sunday's high temperature to Tuesday's temperature.

[tex]x-3[/tex]

It means the high temperature of Sunday is 3 degrees warmer than the high temperature of Tuesday.

Robin's family breeds Great Danes. In the last litter, one of the puppies grew at an unusually consistent rate. At birth, he weighed two pounds. At eight months, he weighed 110 pounds.

Answers

Let's assume that you're being asked to write a formula for the dog's weight.

In this case, w = (weight after x months) = (initial weight) (1 + r)^x

We know the initial and final weights: 2 lb and 110 lb. We also know that the time period involved is 8 months. What is the "consistent" rate at which the dog gains weight?

110 lb = (2 lb) (1 + r)^8

Let's solve this for r.

Dividing both sides by 2 lb, 55 = (1 + r)^8

Finding the 8th root of both sides: 1.65 = 1 + r

Solving for r, r = 0.65

The dog gains weight at the consistent rate of 0.65 lb/month.

Check: Does (2 lb) (1.65)^8 come out to 110 lb?

(2 lb)(54.94) = 109.9 lb (very close indeed to 110 lb).

Answer:

A. An additional month of growth is associated with an additional 13.5 pounds of weight.

Step-by-step explanation:

The table gives estimates of the world population, in millions, from 1750 to 2000. year population year population 1750 790 1900 1650 1800 980 1950 2560 1850 1260 2000 6080 (a) use the exponential model and the population figures for 1750 and 1800 to predict the world population in 1900 and 1950. compare with the actual figures

Answers

The exponential model provides a reasonable approximation for the world population growth between 1750 and 1800. However, it becomes less accurate for longer time periods due to various factors like technological advancements, medical breakthroughs, and changing social and economic conditions.

1. Define the model:

The general form of an exponential model is:

P(t) = a * b^(t)

where:

P(t) is the population at time t

a is the initial population (at t = 0)

b is the growth factor (greater than 1 for positive growth)

t is the time elapsed (in years, since the initial time)

2. Find the parameters:

We have data for 1750 (t = 0) and 1800 (t = 50):

P(0) = 790 million (initial population)

P(50) = 980 million (population after 50 years)

Using these values, we can solve for a and b:

b = (P(50) / P(0))^(1/t) = 980 / 790)^(1/50) ≈ 1.007

a = P(0) / b^0 = 790 / 1 ≈ 790

3. Predict the population in 1900 and 1950:

Now we can plug the values of a and b into the model to predict the population:

P(150) = 790 * 1.007^(150) ≈ 1912 million (predicted population in 1900)

P(200) = 790 * 1.007^(200) ≈ 3145 million (predicted population in 1950)

4. Comparison with actual data:

The actual population in 1900 was 1650 million and in 1950 was 2560 million. While the model overestimates the population in both cases, it still captures the general trend of growth.

write each percent as a fraction 13_1/3

Answers

13.33% is your answer

hope this helps :D

put the repeating sign over the last 3

13.33!!!!!

Mark brainiest!

Suppose x and y vary together such that x is 7 times as large as y. write a formula that defines x in terms of y.

Answers

since y is less than x by 7 times [tex] \frac{x}{7}=y [/tex] so in terms of x we write
x=7y

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