Bart's Art Shop sells 100 colored pencils
for $5. Circle all equivalent rates.

A. 20 colored pencils per dollar
B. 10 colored pencils per 50¢
C. 1 pencil per 5¢
D. 5 pencils per dollar

Answer:

(a) and (b) are not equivalent

(c) is equivalent

Step-by-step explanation:

Given

[tex]\frac{25^m}{5}[/tex]

Required

Determine an equivalent or nonequivalent expression

[tex](a)\ 25^{m-1[/tex]

We have:

[tex]25^{m-1[/tex]

Apply law of indices

[tex]25^{m-1} = \frac{25^m}{25}[/tex]

This is not equivalent to [tex]\frac{25^m}{5}[/tex]

[tex](b)\ 25^{2m - 1}[/tex]

We have:

[tex]25^{2m - 1}[/tex]

Apply law of indices

[tex]25^{2m - 1} = \frac{25^{2m}}{25}[/tex]

This is not equivalent to [tex]\frac{25^m}{5}[/tex]

[tex](c)\ 5^{2m-1}[/tex]

We have:

[tex]5^{2m-1}[/tex]

Apply law of indices

[tex]5^{2m-1} = \frac{5^{2m}}{5^1}[/tex]

[tex]5^{2m-1} = \frac{5^{2m}}{5}[/tex]

Evaluate the numerator

[tex]5^{2m-1} = \frac{25m}{5}[/tex]

This is an equivalent expression

This question is incomplete, the complete question is;

An article in Knee Surgery, Sports Traumatology, Arthroscopy (2005, Vol. 13, pp. 273-279), considered arthroscopic meniscal repair with an absorbable screw. Results showed that for tears greater than 25 millimeters, 13 of 19 repairs were successful while for shorter tears, 22 of 30 repairs were successful.

a) Is there evidence that the success rate is greater for longer tears? Use alpha=0.05

Answer:

P-value = 0.6443

Now, since the p-value( 0.6443 ) is greater than the significance level (0.05), We fail to reject null hypothesis.

Therefore, there is no significant difference in the successive proportion ( rate ). [tex]p[/tex]₁ =  [tex]p[/tex]₂

Step-by-step explanation:

Given the data in the question;

         Sample of tears greater than 25;

number of successive repairs X₁ = 13

number of repair n₁ = 19

proportion of successive repairs [tex]p[/tex]₁ = 13/19 = 0.68

q₁ = 1 -  [tex]p[/tex]₁ = 1 - 0.68 = 0.32

        Sample of tears shorter than 25;

number of successive repairs X₂ = 22

number of repair n₂ = 30

proportion of successive repairs [tex]p[/tex]₂ = 22/30 = 0.73

q₂ = 1 -  [tex]p[/tex]₂ = 1 - 0.73 = 0.27

so;

H₀ : There is no significant difference in the successive proportions;  [tex]p[/tex]₁ =  [tex]p[/tex]₂

Hₐ : The successive rate is greater for longer tears [tex]p[/tex]₁ >

Significance level ∝ = 0.05

Test Statistics

Z =  ([tex]p[/tex]₁ -

so we substitute

Z =  ( 0.68 - 0.73 / √[ (0.68 ×0.32 / 19) + ( 0.73×0.27 / 30 ) ]

Z = -0.05 / √[ 0.01802 ]

Z = -0.05 / 0.1342

Z = -0.37  

P-value for the given test, p = P( Z > -0.37 )

= 1 - P( Z ≤ - 0.37 )

= 1 - 0.35569

P-value = 0.6443

Now, since the p-value( 0.6443 ) is greater than the significance level (0.05), We fail to reject null hypothesis.

Therefore, there is no significant difference in the successive proportion ( rate ). [tex]p[/tex]₁ =  [tex]p[/tex]₂

Answer:

Round it to the nearest hundredth

Step-by-step explanation:

Answer:

The answer would be 6.8 I believe.

Step-by-step explanation:

Step 1: You would have to find which side is the opposite , hypotenuse and adjacent to the degree. 8 is adjacent and x is the hypotenuse. Then you can use a strategy I like which is called SOH CAH TOA to find if you need to use sin, cosine, or tangent. It tells you in the acronym too how to set up the equation.

Step 2: In this case we need cosine since it is adjacent over hypotenuse (C in the acronym is for cosine A is for adjacent and H is for hypotenuse) so the equation would be Cos32= 8/x

Step 3: Then solve the equation, so you would do

8cos32=x

Put that into the calculator (I'm using a TI-84) and make sure it is in degree mode and you would get 6.78 but round that up to 6.8.

I hope this helps and that I did it right!!

Answer:

[tex]2x^{2} +11[/tex] cannot be simplified further

Step-by-step explanation:

Answer:

After 4 years the account balance will be $ 7,948.67.

Step-by-step explanation:

Given that Abhasra invests $ 7,053 in a savings account with a fixed annual interest rate of 3% compounded quarterly, to determine what the account balance will be after 4 years, the following calculation must be performed:

7.053 x (1 + 0.03 / 4) ^ 4x4 = X

7,053 x 1.0075 ^ 16 = X

7.053 x 1.12699211 = X

7,948.67 = X

Therefore, after 4 years the account balance will be $ 7,948.67.

Answer: X=-4

Step-by-step explanation:

Should be B on Edge.

Answer: X = -4

Step-by-step explanation:

Answer:

3 expodent 12

Step-by-step explanation:

Answer:

200.7391304348

Rounded: 200.74

Answer: 200.74

Step-by-step explanation:

Answer:

96 cm³

Step-by-step explanation:

v = 4 x 3 x 8 = 96 cm³

Answer:

The volume of the prism is 96cm^3

Step-by-step explanation:

You multpily 4*3*8=96

Answer:

169.28

Step-by-step explanation:

18.4x9.2=169.28

Answer:I hink its B if its not im sorry

Step-by-step explanation:

Answer:

Simplified expression: [tex]\frac{1}{y+8 }[/tex].

The value of y that makes the expression undefined is y=-8.

Step-by-step explanation:

[tex]\frac{2y^{3}}{2y^{4}+16y^{3}}[/tex]

= [tex]\frac{2y^{3}}{2y^{3}(y+8) }[/tex]

(cancel out 2y³)

=[tex]\frac{1}{y+8 }[/tex]

A rational expression is undefined when the denominator (bottom number) is  zero. So, if y equalled -8, the expression would ultimately equal [tex]\frac{1}{0}[/tex], which is undefined.

Answer:

[tex](x,y) = (-1,1)[/tex]

Step-by-step explanation:

Given

[tex]y>-2x - 1[/tex]

[tex]y>x + 2[/tex]

Required

Solve graphically

See attachment for graph;

The black shade represents [tex]y>-2x - 1[/tex]

While the green, represents [tex]y>x + 2[/tex]

Next, determine the intersection points between the two lines

From the attached graph, we have:

[tex](x,y) = (-1,1)[/tex]

Hence, the solution is:[tex](-1,1)[/tex]

Answer:

D.

Step-by-step explanation:

Let (2a+1) be an odd number, and let (2b+1) be another odd number. The product 2(2ab+a+b)+1 is a multiple of 2 plus 1, which is an odd number.

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

Answer: n = -1

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

add 6 to both sides of the equation.

4n − 6 = 10n

4n − 6 + 6 = 10n + 6

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

simplify.

(add the numbers)

4n − 6 + 6 = 10n + 6

4n = 10n + 6

4n = 10n + 6

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

subtract 10n from both sides.

4n − 10n = 10n + 6 − 10n

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

simplify. (again)

(combine like terms)                                          (combine like terms)

4n − 10n = 10n + 6 − 10n                                   −6n = 10n + 6 − 10n

−6n = 6

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

divide both sides by the same term.

−6n/−6 = 6/-6

n = 6/−6n = 6/−6

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

simplify. (again)

(cancel terms that are in both the numerator and denominator)

n = 6/−6

(divide the numbers)

n = 6/−6

n = 1

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

Answer:

n= -1

Step-by-step explanation:

Answer:

I would need to see the models to answer this question.

Answer:

?

Step-by-step explanation:

Answer:

x = 21.6

Step-by-step explanation:

Solution by Cross Multiplication

For the equation

35=x36

The cross product is

3×36=5×x

Solving for x

x=3×365

and reducing

x=21.6

Solution by Proportion

Since the equation is an equality

If

36 ÷ 5 = 7.2

Then it is true that

x ÷ 3 = 7.2

Solving for x

x = 3 × 7.2

x = 21.6

Answer:

yes

no

yes

no

Step-by-step explanation:

i think its right

Answer:

4.65 + □ = 7.88

Choose... Yes!

□ + 6.42 = 9.45

Choose...No

2.85 + □ = 6.08

Choose...Yes!

□ + 8.49 = 10.72

Choose...No

Step-by-step explanation:

Sorry if I'm wrong.

Answer:

The answer is close to 375 time but not exactly 375 times

Step-by-step explanation:

I put this is the Khan Academy test and this one was the right one

Answer:

16.5

Step-by-step explanation:

Answer:

f(0) = 31

Step-by-step explanation:

We are given the following function:

[tex]f(x) = \sqrt{7x} + 31[/tex]

f(0).

This is the value of f when [tex]x = 0[/tex]. So

[tex]f(0) = \sqrt{7*0} + 31 = \sqrt{0} + 31 = 0 + 31 = 31[/tex]

So f(0) = 31

I = a + (n - 1)d [Given formula]

Find d when I = 10, a = 2, n = 5

I = a + (n - 1)d [Given]

Putting the value of I = 10, a = 2, n = 5 we get,

10 = 2 + (5 - 1)d

10 = 2 + 4d

10 - 2 = 4d

8 = 4d

d = [tex] \frac{8}{4} [/tex]

d = 2

9514 1404 393

Answer:

  12.5 cm

Step-by-step explanation:

Triangle IDA is a 3-4-5 right triangle with a scale factor of 5. That is, segment AI is 25 cm long. Since IS is half the length of the diagonal, it is ...

  IS = (25 cm)/2

  IS = 12.5 cm

__

If you like, you can work out the length of AI using the Pythagorean theorem:

  AI² = DI² +DA²

  AI = √(15² +20²) = √(225 +400) = √625 = 25

Answer:

Step-by-step explanation:

That line that separates the triangle vertically is an angle bisector. That creates a ratio between the resulting 2 triangles:

[tex]\frac{6}{3x-12} =\frac{14}{21}[/tex] and cross multiply:

14(3x - 12) = 21(6) and

42x - 168 = 126 and

42x = 294 and

x = 7

Answer: x greater-than or equal-to 2,236

Step-by-step explanation:

5,000-2,764= 2,236

so Li's family still needs to save at least $2,236

Answer:

A

Step-by-step explanation:

bc

Answer:

the answer is one!

Step-by-step explanation:

Answer:

answer: 125/24 cm3

volume= 5/3*5/2*5/4 cm3

=125/24 cm3