Tyler had $25 in his bank account. Saving up for a new bike, he made
three deposits of $32 each. What was the total amount of money in
his account after making the three deposits?
HELPP PLEASE

Step-by-step explanation:

Using synthetic division of polynomials 3x⁴-2x²+4x+9÷x+2. Rewrite the dividend as 3x⁴+0x³-2x²+4x+9

2 | 3 0 -2 4 9

| 6 -12 20 -32

3 -6 10 -16 41

So the quotient is 3x³-6x²+10x-16 with a remainder of 41

Therefore, 3x³-6x²+10x-16+(41/x+2)

Answer:

a^2 + b^2 = c^2

9.9^2 + 4.9^2 = c^2

[tex]c = \sqrt{{9.9}^{2} + {4.9}^{2} } \: = 11[/tex]

Answer:

slope = -4                         y-intercept = (0, 2)

Step-by-step explanation:

12x + 3y = 6

-12x           -12x

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

3y = -12x + 6

3y/3 = -12x/3 + 6/3

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

y = -4x + 2       ( this is in y = mx + b form, m representing the solpe and b representing the y-intercept)

This being said, the slope = -4 and the y-intercept = (0, 2).

Answer:

1/4

Step-by-step explanation:

The answer the other guy told is wrong.

The probability of choosing an orange marble is 2/8 and 2/8 simplified equals 1/4

Answer:

$40

It means that when an infinite number of pages are printed in a month then the fixed cost will be negligible.

Step-by-step explanation:

Given that:

Monthly overhead costs in rent = $1900

Costs in electricity = $450

Costs for phone service = $80

Costs for advertising and marketing = $230

Printing cost per thousand pages = $40

If number of pages printed are [tex]x[/tex] thousand then cost of printing for [tex]x[/tex] thousand pages = $40[tex]x[/tex]

Average cost to print [tex]x[/tex] thousand pages can be given as:

(Total fixed cost + Total cost of printing [tex]x[/tex] thousand pages) divided by [tex]x[/tex]

[tex]\dfrac{2660+40x}{x}[/tex]

Now, it is given that an infinite number of pages are printed in a month, and we have to find the value that average cost would approach to.

[tex]\lim_{x \to \infty} (\dfrac{2660+40x}{x})[/tex]

Let us solve the above limits.

[tex]\Rightarrow \lim_{x \to \infty} (\dfrac{2660}x+\dfrac{40x}{x})\\\Rightarrow \lim_{x \to \infty} (\dfrac{2660}x)+40\\\Rightarrow 40+\lim_{x \to \infty} (\dfrac{2660}x)[/tex]

When

[tex]x\rightarrow \infty\Rightarrow \frac{2660}{x} \rightarrow 0[/tex]

Putting the value in the limits, we get:

Average cost per thousand pages month would approach to [tex]\rightarrow \$40[/tex]

It means that when an infinite number of pages are printed in a month then the fixed cost will be negligible.

Step-by-step explanation:

4/7 of distance = 2/9 of potion

=> 7/7 of distance = 2/9 * (7/4) = 7/18 of potion.

The dragon has used 7/18 of the potion for the journey, and only have 11/18 of it left.

Amount left = 630 ounces * 11/18 = 385 ounces.

Answer: $15

9 avocados = $15

Step-by-step explanation:

1 x 3 = 9

5 x 3 = 15

Our Data:

Avocados       Price (dollars)

3                      5

6                      10

9                      15

So, our answer is $15

Answer:

x= 8/9

Step-by-step explanation:

Open everything up to get 5x+2x-6=-2x+2. Move numbers with an x to the left side and without to the right to have 5x+2x+2x=2+6. Simplify to have 9x=8. Divide by 9 which leaves you with x= 8/9

Answer:

See explanation

Step-by-step explanation:

A mathematical model refers to a mathematical function that describes natural phenomena.

Models are used to approximate natural phenomena hence they are not really exact representations of reality. Thus mathematical models are inherently imperfect and so is our understanding of natural phenomena represented by these mathematical models.

The mathematical parameters used in models to represent real processes are uncertain since they are determined from experiment or represent more than one process.

Lastly, the initial and the boundary conditions in a model may not be explicitly established.

Answer:

Step-by-step explanation:

1 ft= 12 inches

we know l=15 ft and 6 inches

2L=31 inch

P=2L+2W=40ft

2W=40-2*(15ft6inches)

2W=40-31=9 inch

w=9inch/2=4 ft 6 inches

Answer:

3.5

Step-by-step explanation:

First you distribute. 24x-38=46.

Then add 38 to both sides

24x=84

Then divide both sides by 24

x=3.5

Answer:

x= 3.5

Step-by-step explanation:

9514 1404 393

Answer:

  (-11, -8)

Step-by-step explanation:

Reflection across the x-axis changes the sign of the y-coordinate.

For X(-11, 8), the reflected point is X'(-11, -8).    (matches the last choice)

Answer:

IS THIS REALLY FOR HIGH SCHOOL

Step-by-step explanation:

IF NOT I WILL ANSWER

Answer:

how and i dont want to sdfsadfsdfasdfsdafdsa

Given:

A profit of 60$.

To find:

An integer for the given situation.

Solution:

The given situation is "A profit of 60$".

We know that,

1. Negative integers are used to represent loss.

2. Positive integers are used to represent profit.

Here, the profit is 60$. So, the sign of required integer must be positive and the value of the integer is 60.

Therefore, the required integer is 60.

Answer:

you probably got the answer already but its a, b, c, and e

Step-by-step explanation:

i just got the answer

Answer:

abce

Step-by-step explanation:

Answer:

the length of each side of the equilateral triangle = 17

Step-by-step explanation:

suppose the side length of equilateral triangle = x

The 3 side of right triangle formed (by side length): x-12 , x-13, x-14

(x-13)² + (x-14)² = (x-12)²  .... Pythagorean theorem

x² -26x + 169 + x² -28x + 196 = x² -24x + 144

x² - 30x +221 = 0

(x- 17) (x - 13) = 0

x = 17 or x = 13

if x = 13  the right triangle will have a side length of 13-13=0 ... not solution

x = 17

check: 17-12=5     17-13=4     17-14=3

3²+4² = 25 = 5²

Answer:

c

Step-by-step explanation:

if you look, the x values will go on forever, however in the y value, the lowest value is -6, but the y values afterwards are infinite

Answer:

4860 degrees

Step-by-step explanation:

Triangle=180

Square=360.

The pattern: increase by 180.

Triangle=3 sides.

29-3 is 26.

26*180+180

4860.

Hope this helps :D

Answer:

Option B

Step-by-step explanation:

Don't trust answers teachers don't bother to spell correctly. Plus, finding the 100th term is very easy.

However, the explicit formula will take a long time to use, because it's explicit.

Option C is just wrong. You're supposed to multiply in the recursive formula.

Option D might be correct, but never trust those answers. Teachers do that to trip you up

Answer:

-3

Step-by-step explanation:

Y = mx + c

m is the slope or the gradient and b is the y-intercept.

m = 5-8 / -6 - -7

m = -3

Answer:

Jada ran 1.977 miles farther than Noah.

Step-by-step explanation:

Jada = 7.1m [J=7.1] & Noah = 5.123m [N=5.123] & Additional miles = AM

J-A=AM

7.1-5.123=AM

7-5=2, 0.1-0.123=-0.023

2-0.023=1.977

AM=1.977

Answer:

is 267 the answer your looking for

Answer:263

Step-by-step explanation:

Start from the ones place and subtract.

Answer:

[tex]39\ m[/tex]

Step-by-step explanation:

[tex]We\ are\ given:\\Perimeter\ of\ Cole's\ backyard=104\ meters\\Now,\\Let\ the\ constant\ of\ proportionality\ between\ the\ length\ and\ the\ width\ of\\ Cole's\ backyard\ be\ x.\\Hence,\\Length\ of\ Cole's\ backyard=6x\\Breadth\ of\ Cole's\ backyard=2x\\Hence,\\As\ we\ know\ that,\\Perimeter\ of\ a\ rectangle=2(l+w)\\Hence,\\Here,\\Perimeter\ of\ Cole's\ backyard=2(6x+2x)=2(8x)=16x\\Hence,\\As\ the\ perimeter\ of\ Cole's\ backyard=104\ m,\\104=16x\\x=\frac{104}{16}=6.5\\Hence,\\[/tex][tex]Length\ of\ Cole's\ backyard=6x=6*6.5=39\ m\\Width\ of\ Cole's\ backyard=2x=2*6.5=13\ m\\Here,\\We\ are\ asked\ Length,\\Hence,\\Length\ of\ Cole's\ backyard=39\ m[/tex]

Answer:

13.5

Step-by-step explanation:

no explenation needed

Answer:

15 + 3r

Step-by-step explanation:

$15 entry fee plus $3 for every

ride.

Answer:

Step-by-step explanation:

initial growth = 11

growth in 6 months= 3*6= 18

Final growth = 29 inches (11+18)

Answer: one solution.

Answer:

the answer is c

Step-by-step explanation:

4x = 4 x 2=8

8+12=20

which is equal to or greater than 8

Hope this helps plz mark brainliest

Answer:

I think its $76

Step-by-step explanation:

please help https://brainly.com/question/20406553