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John has $40. He will use some of the money to buy CDs, and he wants to have at least $10 left to put in his savings account. Each CD costs $6. Write an inequality to represent this story and solve the inequality.

Step-by-step explanation:

given

900m = 2.700

m = 2.700 / 900

m = 0.003

Hope it will help :)

Answer:

0.1456858

Step-by-step explanation:

Hope it help

Answer:

−1/2

Explanation:

cos(8π/3)

=cos(8π/3 − 2π)

=cos(2π/3) = − cos (π/3) = −1/2

Answer:

16 dimes

Step-by-step explanation:

D=number of dimes

Q=number of quarters

D+Q=37

.25 xQ + .10 x D=6.85

sub Q from first equation

.25(37-D) + .10 x D=6.85

D(.10-.25) + .25 x 37 =6.85

-.15D + 9.25=6.85

D= (6.85-9.25)/(-.15)

D=16

Answer:

i think 150

Step-by-step explanation:

Answer:  $30.00

Step-by-step explanation:

First, convert the 20% to an actual number that can be used in a calculation. For percents, this is always done by simply dividing the percent (in this case 20%) by 100%.So, the conversational term "20%" becomes 20% / 100% = 0.20 in terms of a real mathematical number.

0.20 x $25.00=$5.00.

$25.00 + $5.00 = $30.00.

Answer:

2.5

Step-by-step explanation:

The computation of the XW is shown below

As triangle UVX is a right angle

So

VU^2 = XU^2 - VX^2

VU^2 = 15.7^2 - 8.5^2

VU^2 = 246.49 - 72.25

VU^2 = 174.24

VU = 13.2

As VU = WX because of same point tangent

NOw XW is

= UX - UW

= 15.7 - 13.2

= 2.5

Answer:

Step-by-step explanation:

area of square is basically one side times itself

14 times 14 =196m^2

Answer: 196 meters

Step-by-step explanation: To find the area of any square you must do length(vertical side) times the width(horizontal side). It would look like this: length x width. So in this equation, it would be 14x14=the area. Another thing is that when you have a square when you know one side the other side is always as long or wide as the one you know. So 14x14=196 square meters

Answer:

44

Step-by-step explanation:

is times 5.5

Answer:

30(D)

Step-by-step explanation:

38.48-26.94=11.54

11.54÷38.48×100

≈30

Answer:

i think the answer is a.92 hope this helps

Answer:

Step-by-step explanation:

Add up all three side lengths

Answer:

Add up all the side lengths (3) of the triangle.

Step-by-step explanation:

Answer:

1 gallon

Step-by-step explanation:

7/8 + 3/8 + 4/8 = 1 6/8

3/8 + 1/8 + 2/8 = 6/8

1 6/8 - 6/8 = 1

Answer:

Chocolate Sauce: 4/8

Strawberry Sauce: 2/8

Caramel Sauce: 2/8

Chocolate Sauce

Monday, the shop had 7/8, the shop used 3/8 on Tuesday. So we subtract the numerators but the denominator stays the same.

7 - 3 = 4

So it is 4/8

Same thing for Strawberry and Caramel Sauce.

So we add the totals we got from subtracting Monday amount of toppings with Tuesday's amount of toppings.

4/8 + 2/8 + 2/8 =

**I hope this helped! :)

Answer:

php 3.96

Step-by-step explanation:

If it costs 285.00 per 72 inches, the divide 285.00 by 72 to get per inches. 285.00 divided by 72 = 3.9583. Round 3.9583 to the hundreths place and you get 3.96.

(hope this helps...and why is this question related to naruto??))

Answer: cv

Step-by-step explanation:

Answer:

it would be the same as 370-240 which equals 130

Step-by-step explanation:

Answer:

130

Step-by-step explanation:

give me brainliest  (aka the crown) :)

Answer:

2

Step-by-step explanation:

27 = 54,

let's say the value that will make it true is x

So then,

27 * x = 54. If we divide both sides by 27, we have

x = 54 / 27

x = 2

The value that will make it true is multiplying 27 by 2

Answer: x8

Step-by-step explanation:

Answer:

Step-by-step explanation:

A = 48/20

B = 20/48

Answer:

the answer would be 25

Step-by-step explanation:

since if you add all the following numbers up you make 11 and to taht you double the answer and that would give you 22 and then you add the remaining IP to make 25b

Answer: 3.5% with a 3.50 Tip

Reason: 25.00 - 21.50 = 3.50

Answer:

y = -9x -23

Step-by-step explanation:

Point-slope formula gives you

y -(-5) = -9(x - (-2))

y + 5 = -9(x + 2)

y + 5 = -9x - 18

y = -9x -23

Answer:

Step-by-step explanation:1) Find the domain of the given function. f(x) = square root of quantity x plus three divided by quantity x plus eight times quantity x minus two.

using a graphical tool    see the attachment  

the answer is C) x ≥ -3, x ≠ 2  

2. Identify intervals on which the function is increasing, decreasing, or constant.

g(x) = 2 - (x - 7)2

using a graphical tool    

see the attachment

the answer is  C) Increasing: x < 7; decreasing: x > 7

3. Perform the requested operation or operations.

f(x) = 4x + 7, g(x) = 3x2

Find (f + g)(x).

(f + g)(x) = f(x) + g(x)

(f + g)(x) = 4x + 7 + 3x^2

(f + g)(x) = 3x^2 + 4x + 7

The answer is  C) 4x + 7 + 3x2

4. Perform the requested operation or operations.

f(x) = x minus five divided by eight. ; g(x) = 8x + 5, find g(f(x)).

f(x)=(x-5)/8    g(x)=8x+5

g(f(x))=8((x-5)/8)+5=x-5+5=x

the answer is  B) g(f(x)) = x  

5. Find f(x) and g(x) so that the function can be described as y = f(g(x)).y = nine divided by square root of quantity five x plus five.

y=f(g(x))=9/((5x+5) ^1/2)

let do

g(x)=5x+5...........so

f(x)= 9/( x^1/2)

the answer is  A) f(x) = nine divided by square root of x. , g(x) = 5x + 5

6. A satellite camera takes a rectangular-shaped picture. The smallest region that can be photographed is a 4-km by 4-km rectangle. As the camera zooms out, the length l and width w of the rectangle increase at a rate of 3 km/sec. How long does it take for the area A to be at least 4 times its original size?

Original size- >4km*4km=16 km2

4 times its original size---------------4*(16km2)-----64 Km2----------- > 8 km by 8 Km

Therefore

3km----------------------------- 1 sec

(8km-4km)---------------------x

X=4/3=1.33 sec

The answer is D) 1.33 sec

7. Find the inverse of the function.

f(x) = the cube root of quantity x divided by seven. - 9

to solve, replace f(x) with y , switch x and y, solve for y and replace y with f⁻¹(x)

f(x)=((x/7)-9) ^(1/3)

replace f(x) with y

y=((x/7)-9) ^(1/3)

switch x and y

x=((y/7)-9) ^(1/3)

solve for y

x^3=((y/7)-9)

x^3+9=y/7

y=7(x^3+9)

the answer is C) f-1(x) = 7(x3 + 9)  

8. Describe how the graph of y= x2 can be transformed to the graph of the given equation.y = (x - 14)2 – 9

using a graphical tool     see the attachment  the answer is C) Shift the graph of y = x2 right 14 units and then down 9 units  

9. Describe how to transform the graph of f into the graph of g. f(x) = alt='square root of quantity x minus nine.' and g(x) = alt='square root of quantity x plus five. '

f(x)=(x-9) ^1/2  g(x)=(x+5) ^1/2

using a graphical tool     see the attachment

the answer is C) Shift the graph of f left 14 units

10. If the following is a polynomial function, then state its degree and leading coefficient. If it is not, then state this fact.

f(x) = -16x5 - 7x4 – 6

The answer is B) Degree: 5; leading coefficient: -16

11. Write the quadratic function in vertex form.y = x2 + 4x + 7

Complete the square on the right side of the equation

Use the form ax2+bx+cax2+bx+c, to find the values of a, b, and c.

a=1,b=4,c=7

Consider the vertex form of a parabola.

a(x+d)2+e

Find the value of dd using the formula d=b/2a

d=4/(2*1)=2

Find the value of e using the formula e=c−b2/4a

e=7−4=3

Substitute the values of a, d, and e into the vertex form a(x+d)2+e

(x+2)2+3

The answer is A) y = (x + 2)2+ 3

12. Find the zeros of the function.

f(x) = 3x3 - 12x2 - 15x

using a graphical tool   (see the attachment)x1=-1

x2=0

x3=5

The answer is C) 0, -1, and 5

13. Find a cubic function with the given zeros.7, -3, 2

X1=7

X2=-3

X3=2

f(x)=(x-7)(x+3)(x-2)=(x2-4x-21)(x-2)=x3-6x2-13x+42

the answer is C) f(x) = x3 - 6x2 - 13x + 42  

14. Find the remainder when f(x) is divided by (x - k).f(x) = 7x4 + 12x3 + 6x2 - 5x + 16; k = 3

f(x)=7(3)4+12(3)3+6(3)2-5(3)+16=946

 The answer is the B) 946

15.  Use the Rational Zeros Theorem to write a list of all potential rational zerosf(x) = x3 - 10x2 + 4x - 24

The constant term of () is -24

The leading coefficient is 1.

We have to only consider the factors of the constant (leading coefficient = 1)

The factors are 1, -1, 2, -2, 3, -3, 4, -4, 6, -6, 8, -8, 12, -12, 24, -24

The answer is A) ±1, ±2, ±3, ±4, ±6, ±8, ±12, ±24

Answer:

5 weeks

Step-by-step explanation:

so if Lily has $60 and takes out (subtracts) 12 a week then it would look like this

    TOTAL STARTED WITH       EACH WEEK

          $60                  -12              48

         $48               -     -12           36

         $36                      -12          24

           $24                  -12          12

          $12                   -12           0

SO Lily will have enough money to deposit for 5 weeks

Answer:

15x2+10x-9x+7

8x3+20x2+3x+12

11x4+4x2-6x2-16

Step-by-step explanation:

The prime polynomials are;

⇒ 15x² + 10x – 9x + 7

⇒ 8x³ + 20x² + 3x + 12

⇒ 11x⁴ + 4x² – 6x² – 16

What is an expression?

Expression in math is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Given that;

There are some polynomials.

Now,

Evaluate all options in order to check that the polynomials are prime or not as;

Since, The polynomial is called a prime polynomial if the polynomial has not lower degree factors.

1). 15x² + 10x – 9x + 7

15x² + 10x – 9x + 7 = 5x(3x + 2) - (9x - 7)

Thus, This polynomial can not be factored into lower degree polynomial. Hence, it is a prime polynomial.

2). 20x² - 12x + 30x - 18

20x² - 12x + 30x - 18 = 4x (5x - 3) + 6 (5x - 3)

                                = (4x + 6) (5x - 3)

Thus, This polynomial is converted into a lower degree polynomial. Therefore, it is not a prime polynomial.

3). 6x³ + 14x² - 12x - 28

6x³ + 14x² - 12x - 28 = 2x² (3x + 7) - 4(3x + 7)

                               = (2x² - 4) (3x + 7)

Thus, This polynomial is converted into a lower degree polynomial. Therefore, it is not a prime polynomial.

4). 8x³ + 20x² + 3x + 12

8x³ + 20x² + 3x + 12 = 4x² (2x + 5) + 3 (x + 4)

                                = (4x² + 3) (2x + 5)

Thus, This polynomial can not be factored into lower degree polynomial. Therefore, it is a prime polynomial.

5). 11x⁴ + 4x² – 6x² – 16

11x⁴ + 4x² – 6x² – 16 = x² (11x² + 4) - 2 (x² + 8)

Thus, This polynomial can not be factored into lower degree polynomial. Therefore, it is a prime polynomial.

Therefore, The prime polynomials are;

⇒ 15x² + 10x – 9x + 7

⇒ 8x³ + 20x² + 3x + 12

⇒ 11x⁴ + 4x² – 6x² – 16

Learn more about the prime polynomial visit:

https://brainly.com/question/26388060

#SPJ6

Answer:

$15.00

Step-by-step explanation:

Multiply the original cost by 1.25 to represent the mark up rate.

Answer:

y = 2

Step-by-step explanation:

Given

[tex]\frac{2y-1}{15}[/tex] = [tex]\frac{y}{10}[/tex] ( cross- multiply )

10(2y - 1) = 15y ← distribute left side

20y - 10 = 15y ( subtract 15y from both sides )

5y - 10 = 0 ( add 10 to both sides )

5y = 10 ( divide both sides by 5 )

y = 2