Karen and Bill collect coins. Karen has x coins. Bill has 9 coins fewer than two times the number of coins Karen has. Write and simplify an expression for the total number of coins Karen and Bill have.​

Answer: 8

Step-by-step explanation:

420/12 is 35

540/20 is 27

35-27=8

Answer:

D. (0,-4)

Step-by-step explanation:

When you plug in 0 into the x and -4 into the y variable you get 2(0)-4(-4)>15.

Then you solve and get 0+16>15.

then you at and get 16>15.

16 is greater than 15 which makes D correct

A toy company produces rubber balls that have a radius of 1.7 cm.

What is the volume of one rubber ball? Round to the

nearest hundredth of a centimeter.

20.58 cm3

If the price of the rubber needed to produce a ball is

$0.0045/cm3, what is the cost of producing one ball?

Round to the nearest cent.

If the company sells a ball for $0.50, how much profit

will it make on each ball?

$1.7 cm

20.58 cm^3, $0.09, $0.41

Hope this helps

Answer:

If I directly give you the answers they won't help you...so I've shown you how to do the questions instead

Step-by-step explanation:

8/9 + 5/6 (make them have the same denominator)

= 48/54 + 45/54

= 93/54 (make it a mixed fraction)

1 and 39/54

(The second and third one are done the same way... make them have the same denominator by using their equivalent fractions (e.g 1/2 = 2/4), add the numerators ONLY... simplify the result)

1 and 6/9 divided by 5/6

(make the first number an improper fraction)

1 x 9 + 6 = 15 (this is the numerator...the denominator remains the same)

15/9 divided by 5/6 (reciprocate the number after the division sign and then change the division sign to a multiplication sign)

15/9 x 6/5

(Then simplify. e.g the 5 in 6/5 can be divided by the 15 in 15/9)

3/9 x 6/1

(The 6 in 6/1 and the 9 in 3/9 have a common factor... 3)

3/3 x 2/1

(3/3 = 1)

1 x 2

=2

(The other questions are done in the same way... Make the mixed fraction an improper fraction(This means the denominator is larger than the numerator)... reciprocate the number after the division sign (This means flipping it (e.g 2/3 becomes 3/2) then change the division sign to a multiplication sign and either directly multiply the result or simplify it first by dividing numerators with denominators (e.g instead of 9/3 x 12/4 = 108/12 = 9, you could say 1 divided 3 = 4 thus 9/1 x 4/4 (which is = 1) thus 9 x 1 = 9). Either way you should get the same answer whichever way you choose.

PS: YOU COULD ALSO USE A CALCULATOR TO CONFIRM YOUR ANSWER

#1

#2

#3

#4

#5

Answer:

x = 29/8

Step-by-step explanation:

7 - 5(2x - 9) = -(-6x + 10) + 4

7 - 10x + 45 = (6x - 10) + 4

-10x + 52 = 6x - 10 + 4

-10x + 52 = 6x - 6

52 + 6 = 6x + 10x

58 = 16x

x = 58/16 = 29/8

Answer:

x = 0

Step-by-step explanation:

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

28 - 12x = 28 - 14x        distributed

28 + 2x = 28                 added 14x to both sides

      2x = 0                    subtracted 28 from both sides

        x = 0                     divided both sides by 2

Step-by-step explanation:

The square root of 61 is about 7.81, so it lies in between the numbers 7 and 8.

Hope that helps!

Answer:

2.

Step-by-step explanation:

We can view this problem as 5-3=?.

5-3=2

So the missing number is 2.

The set of equation that models the point of intersection of the arrow

and the target is the option; y = -0.004·x² + 0.25·x + 8 and y = 0.22·x

The given parameters are;

Point of intersection of the line and the parabola is the point (48.63, 10.7)

Therefore, the point (48.63, 10.7) satisfies both the equation of the

parabola and the equation of the line, which by plugging in the value x =

48.67 in the different parabolas, we have;

The first set;

The linear function in the first set should be excluded, given y ≠ x in the

ordered pair.

In third set, y = -0.004 × 48.67² + 0.25 × 48.67 + 8 ≈ 10.7, while, from the

ordered pair, we have;

y = C·x

10.7 = 48.63·x

[tex]C = \dfrac{10.7}{48.63} \approx \mathbf{0.22}[/tex]

Therefore;

y ≈ 0.22·x

The set of equations that best models the point of intersection of the arrow and target are therefore;

Learn more about the equation of a parabola here:

https://brainly.com/question/4294167

Answer:

Answer: It is number 4. You are correct.

Step-by-step explanation:

-2/5-8/91/32/7

Answer:

C. 148.413

Step-by-step explanation:

Hope it helps!!!

Answer: c

Step-by-step explanation:

Answer:

21

Step-by-step explanation:16+20/t, T=4 so its 16 + 20/4, 20/4 is 5, 16+5 = 21.

Answer:

red is 50% blue is 25%

Step-by-step explanation:

red is half the circle so it would be 50% and blue is half of a half so 25%

a. The inverse image of f(x) is f⁻¹(x) = ∛(x/3)

b. The inverse image of g(x) is [tex]g^{-1}(x) = e^{x}[/tex]

c. The inverse image of h(x) is h⁻¹(x) = x + 9

Since T = {x ∈ R : 0 ≤ [x^2 − 25} ⇒ x² - 25 ≥ 0

⇒ x² ≥ 25

⇒ x ≥ ±5

⇒ -5 ≤ x ≤ 5.

The inverse image of f(x) is f⁻¹(x) = ∛(x/3)

f : R → R defined by f(x) = 3x³

Let f(x) = y.

So, y = 3x³

Dividing through by 3, we have

y/3 = x³

Taking cube root of both sides, we have

x = ∛(y/3)

Replacing y with x we have

y = ∛(x/3)

Replacing y with f⁻¹(x), we have

So,  the inverse image of f(x) is f⁻¹(x) = ∛(x/3)

The inverse image of g(x) is [tex]g^{-1}(x) = e^{x}[/tex]

g : R+ → R defined by g(x) = ln(x).

Let g(x) = y

y =  ln(x)

Taking exponents of both sides, we have

[tex]e^{y} = e^{lnx} \\e^{y} = x[/tex]

Replacing x with y, we have

[tex]y = e^{x}[/tex]

Replacing y with g⁻¹(x), we have

So, the inverse image of g(x) is [tex]g^{-1}(x) = e^{x}[/tex]

The inverse image of h(x) is h⁻¹(x) = x + 9

h : R → R defined by h(x) = x − 9

Let y = h(x)

y = x - 9

Adding 9 to both sides, we have

y + 9 = x

Replacing x with y, we have

x + 9 = y

Replacing y with h⁻¹(x), we have

So, the inverse image of h(x) is h⁻¹(x) = x + 9

Learn more about inverse image of a function here:

https://brainly.com/question/9028678

Answer: So for Choice A 30% off $25 is $7.50 off or $17.50 which is 70% of the original price and you save 7.50 dollars.

Then for Choice B 25% off $32 is $8 off or $24 which is 75% of the original price and you save 8 dollars.

Therefor the better choice is Choice B.

Step-by-step explanation:

hope it helps

Answer:

x = 1/2

Step-by-step explanation:

10^-3x * 10^x = 10^-2x = 10^-1

Answer:

a) acute triangle

b) obtuse triangle

c) right-angled triangle

d) equilateral

e) isosceles, right-angled triangle

Step-by-step explanation:

Hope this helps!

Answer:

250 stickers

Step-by-step explanation:

125 plus 125 is 250

Answer:

250 stickers because 125x2=250

Answer:

y=2.5x^2+102x+15.4

Step-by-step explanation:

Answer:

OPTION B

Step-by-step explanation:

3sin(2x)=5cos(x)

3×(2sinxcosx)=5cos(x)

6sin(x)cos(x)=5cos(x)

6sin(x)cos(x)-5cos(x)=0 Factor out a cos(x)

cosx(6sinx-5)=0

Answer:

812/1 = 1624/2 = 2436/3

= 3248/4 = 4060/5 = 4872/6

= 5684/7 = 6496/8 = 7308/9

= 8120/10 = 8932/11 = 9744/12

= 10556/13 = 11368/14 = 12180/15

= 12992/16 = 13804/17 = 14616/18

▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬

The list tends to be much bigger.

Hope this helps!

Answer:

Step-by-step explanation:

Fractions equivalent to 8/12:

There is an infinite amount, but this is how far I can get.

Step-by-step explanation:

just look at the line.

the distance between 2 whole numbers is split into 1/2, then each 1/2 again into 1/2 = 1/4, and then every 1/4 again into 1/2 = 1/8. so, in total, we are dealing with 8 segments of 1/8 length.

now we count : we have a full 1, and then on the way to 2 we get only 5 units of 1/8 = 5/8.

so, in total the number is

1 5/8

Answer:

$12,938.26

Step-by-step explanation:

The equation for solving this is:

A = P(1+r/n)^nt

P = 4600

^ initial amount/principal

R = 0.09

^ rate (9% converted to a decimal)

n = 1

^ how often it is compounded (yearly, so it is 1)

t = 12

^ how long the investment is for (in years)

A = 4600(1.09)^12

A = 12,938.26

^ rounded to the nearest hundred, because when dealing with money it has to be rounded to the nearest hundred. Un-rounded the answer is 12938.2579962.

The investment will be worth $12,938.26 after 12 years.

Answer:

∠V = 12.68°

Step-by-step explanation:

In this question, we are tasked with calculating the value of the sine of ∠V to the nearest hundredth

Kindly note that since one of the angles in the triangle equals 90°, then we are dealing with a right-angled triangle.

PLEASE VIEW ATTACHMENT TO SEE THE DIAGRAM OF THE SHAPE

Mathematically, to calculate the sine of an angle in a triangle, the ratio to use is

Sine of an angle = length of side facing angle/length of hypotenuse = opposite/Hypotenuse

From the diagram, we can see that the length of the opposite is 9 while the length of the hypotenuse is 41

Sine V = 9/41

V = arcsin (9/41)

V = arcsin (0.2195)

V = 12.68° to the nearest hundredth

The value of the cosine of ∠V is 0.98

The given parameters are:

The cosine of V is calculated using:

cos(V) = WV/VU

So, the equation becomes

cos(V) = 40/41

Evaluate

cos(V) = 0.98

Hence, the value of the cosine of ∠V is 0.98

Read more about right triangles at:

https://brainly.com/question/2217700

Answer: the awnser will be 17.55$

Step-by-step explanation: cause you multiply 6.5 x 2.70

Answer:

Step-by-step explanation:

2)Cos²x - Sin² x = √2/2

Cos²x - Sin² x = Cos 2x

⇒ Cos 2x = √2/2

General solution for Cos 2x = √2/2 is

[tex]2x = \dfrac{\pi }{4}+2\pi n \ ; 2x=\dfrac{7\pi }{4}+2\pi n\\\\\\x = \dfrac{\pi }{2*4}+\dfrac{2\pi n }{2} \ ; \ x=\dfrac{7\pi }{4*2}+\dfrac{2\pi n}{2}\\\\\\x =\dfrac{\pi }{8}+\pi n ; \ x=\dfrac{7\pi }{8}+\pi n[/tex]

Option A

Answer:

See below for answers and explanations

Step-by-step explanation:

Problem 1

[tex]f(x)=5sin(\frac{x}{12})+14.5\\\\17=5sin(\frac{x}{12})+14.5\\ \\2.5=5sin(\frac{x}{12})\\ \\0.5=sin(\frac{x}{12})\\ \\\frac{x}{12}=\frac{\pi}{6}+2\pi n,\frac{5\pi}{6}+2\pi n\\ \\x=2\pi+24\pi n,10\pi+24\pi n[/tex]

Therefore, the fourth option is correct.

Problem 2

[tex]cos^2x-sin^2x=\frac{\sqrt{2}}{2}\\ \\cos(2x)=\frac{\sqrt{2}}{2}\\\\2x=\frac{\pi}{4}+2\pi n,\frac{7\pi}{4}+2\pi n\\ \\x=\frac{\pi}{8}+\pi n,\frac{7\pi}{8}+\pi n[/tex]

Therefore, the first option is correct.

Answer:

12 people per team

Step-by-step explanation:

180/15=12

Lets see some basics properties of shapes provided in the choices :

❑ A spєciαl tчpє σf prαllєlσgrαm, with ѕαmє prσpєrtiєѕ

❑ A ѕpєcíαl tчpє σf pαrαllєlσgrαm wíth αll ѕídєѕ єquαl (cσngruєnt) tσ єαch σthєr вut αll αnglєѕ αrє nσt nєcєѕѕαrílч 90°

❑ A ѕpєcíαl kínd σf rhσmвuѕ hαvíng αll ѕídєѕ єquαl αnd єαch αnglє mєαѕuríng 90°

[tex]\rule{20cm}{1 mm}[/tex]

☘ So, what we can conclude from the properties is that square has all required properties asked by the question.

hence, the correct choice is ' D '

[tex]\qquad \qquad\huge \dag\normalsize  \sf \boxed{ \underline{ǤríʍɌεαƿєr}} \: \huge \dag[/tex]