A portable basketball hoop is on sale for 25% off the original price of $142. What is the sale price?


Carla is fundraising for her school. She buys t-shirts for $7.50 each and then she sells the t-shirts with a markup of 150%. What is the selling price of each t-shirt?

Dinner costs $22.50. Apply sales tax of 9.5%. Then add a 20% tip to the after tax bill. What is the final cost of dinner?

Find the interest earned on a $125 investment at a 7.5% simple interest rate for 6 months? Use the formula I = Prt


Find the total account balance for a $400 investment that earns a 6% simple interest rate over a 5 year period. Use the formula I = Prt.


Sweatshirts are on sale for 35% off the regular price, x. What expression can be used to find the sale price of a sweatshirt.


Answer in order.

Answer:

1

Step-by-step explanation:

anything to power of 0 is 1

Answer:

1

Step-by-step explanation:

by the laws of exponents, any base with a power to 0 is equal to 1

Answer:

A

Step-by-step explanation:

the answer is

x+15=28

x=28-15

x= 13

Answer:

A

Step-by-step explanation:

x+15=28

move 15 to the other side

and change the + to -

x=28-15

x=13

185.193 Cm, 5.7x5.7x5.7 is the volume

The volume of the Rubik's cube is 183.51 cubic centimeters.

To find the volume of a Rubik's cube, we can use the formula V = s ³, where V represents the volume and s represents the length of each edge.

In this case, the length of each edge is given as 5.7 centimeters.

Substituting this value into the formula, we have:

V = (5.7 cm) ³

Calculating the volume:

V = 5.7 cm * 5.7 cm * 5.7 cm

V = 32.49 * 5.7

V = 183.51 cm ³

Therefore, the volume of the Rubik's cube is 183.51 cubic centimeters.

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Answer:

x=-7

Step-by-step explanation:

Answer:

x=7

Step-by-step explanation:

Simplifying

-1(8 + -3x) = 13

(8 * -1 + -3x * -1) = 13

(-8 + 3x) = 13

Solving

-8 + 3x = 13

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '8' to each side of the equation.

-8 + 8 + 3x = 13 + 8

Combine like terms: -8 + 8 = 0

0 + 3x = 13 + 8

3x = 13 + 8

Combine like terms: 13 + 8 = 21

3x = 21

Divide each side by '3'.

x = 7

Simplifying

x = 7

Answer:

10% ive done these in 6th

Step-by-step explanation:

Answer:

C? Sorry if im wrong

Step-by-step explanation:

Answer:

B (10,40)

E (6,24)

Step-by-step explanation:

(2,8) is equal to (10,40) and (6,24)

Answer: its A

Step-by-step explanation:

Answer:

a) P(  [tex]Y^{C}[/tex] | X ) = 0.180

b) P(Y | [tex]X^{C}[/tex]  ) = 0.998

Step-by-step explanation:

Let

P(X) - Probability that he acts hungry

P(Y) - Probability that he had ate dinner,

Given,

P(X | Y) = 0.5

P(X | [tex]Y^{C}[/tex]  ) = 0.99

P(Y) = 0.9

a.)

P(  [tex]Y^{C}[/tex] | X ) =  [tex]\frac{P( X | Y^{C} ). P(Y^{C} ) }{P( X | Y^{C} ). P(Y^{C} ) + P( X | Y ) . P (Y) }[/tex]

                  = [tex]\frac{(0.99)(0.1)}{(0.99)(0.1) + (0.5)(0.9)} = \frac{0.099}{0.549}[/tex] = 0.180

⇒P(  [tex]Y^{C}[/tex] | X ) = 0.180

b.)

P(Y | [tex]X^{C}[/tex]  ) = [tex]\frac{(1 - P(X | Y ) ) . P(Y)}{P( X^{C} ) } = \frac{(1 - P(X | Y ) ) . P(Y)}{ 1 - P( X ) }[/tex]

                 = [tex]\frac{(1 - 0.5)(0.9)}{1 - [(0.99)(0.1) + (0.5)(0.9) ]} = \frac{(0.5)(0.9)}{1 - [(0.099) + (0.45) ]} = \frac{0.45}{1 - [0.540]} = \frac{0.45}{0.451}[/tex] = 0.998

⇒P(Y | [tex]X^{C}[/tex]  ) = 0.998

Answer:

The probability that both A and B occur is P = 0.01

Step-by-step explanation:

Both events A and B have a probability p of occurring.

Then both events A and B have a probability (1 - p) of NOT occurring.

The probability that neither A or B occurs is equal to the product of the individual probabilities, and this is equal to 0.81, then:

(1 - p)*(1 - p) = 0.81

1 - 2*p + p^2 = 0.81

p^2 - 2*p + 0.19 = 0

We can solve this if we use Bhaskara's equation, the two solutions are:

[tex]p = \frac{-(-2) +- \sqrt{(-2)^2 - 4*1*0.19} }{2*1} = \frac{2 + - 1.8}{2}[/tex]

Then the two solutions are:

p = (2 + 1.8)/2 = 3.8/2 = 1.9

A probability must be a number between zero and one, and this is larger than one, so this solution can be discarded.

the other solution is:

p = (2 - 1.8)/2 = 0.2/2 = 0.1

This means that the probability that event A occurs is p = 0.1

And the probability that event B occurs is p = 0.1

The probability that both events occur is equal to the product of the individual probabilities, which is:

P = 0.1*0.1 = 0.01

Answer:

The z-score for an ACT score of 26 is 0.17.

Step-by-step explanation:

Z-score:

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In a particular year, the mean score on the ACT test was 25 and the standard deviation was 5.9.

This means that [tex]\mu = 25, \sigma = 5.9[/tex]

Find the z-score for an ACT score of 26.

This is Z when X = 26. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{26 - 25}{5.9}[/tex]

[tex]Z = 0.17[/tex]

The z-score for an ACT score of 26 is 0.17.

Answer:

a) 7.78 months

b) 1116

Step-by-step explanation:

Given -

[tex]\frac{dP}{dt} = 0.4p-450[/tex]

Integrating the above equation with respect to time, we get -

[tex]\int\ \frac{dP}{0.4p-450} = \int\ dt\\[/tex]

let us define new variable x

[tex]x = 0.4p - 450 \\dx = 0.4 dy[/tex]

substituting these values in above integral equation, we get -

[tex]\frac{1}{0.4} \int\ \frac{dx}{x} = \int\ dt\\ln x = 0.4 t + C\\x = ce^{0.4t}[/tex]

[tex]P (t) = \frac{C}{0.4} e^{0.4t} +1125\\[/tex]

at t = 0, P (0) = 1075, using this condition, we get -

[tex]\frac{c}{0.4} = -50\\P(t) = 50 e^{0.4t} +1125 \\t = 7.78\\P(0) = 1125 - \frac{1125}{e^{4.8}} = 1116[/tex]

Answer:

hdhdhdhrheheheheheehhdhdududueueehheb

Answer:

J

Step-by-step explanation:

Acute angles are less than 90 degrees.

Obtuse angles are more than 90 degrees.

So J is the only polygon that has angles less than 90 degrees and angles more than 90 degrees.

Answer:

[tex]6x+3+4=\frac{1}{2}(9+10x)\\6x+7=\frac{9}{2}+5x\\x=-\frac{5}{2}[/tex]

Step-by-step explanation:

sana p mkatulong............

Answer:

niamh gets 15 pencils and jack gets 25 pencils

Step-by-step explanation:

3+5=8

40/8=5

5*3=15

5*5=25

so the ratio for how many penicils each child is 15:25

Answer:

the mean is 65

Step-by-step explanation:

Answer:

28.8 and 180

Step-by-step explanation:

you just times B by 2/5 to get C and divide it by 2/5 to get A

C = (72)(2/5) = 28.8 km³

A = (72)/(2/5) = 180 km³

We know the answers make sense because A shrinks to get B and B shrinks to get C, and our answers match that.

Answer:

55

32

-3

-8

-19

-32

Step-by-step explanation:

Answer:

Approximately 68% of their scores will fall within one standard deviation of the mean.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

By the Empirical Rule, approximately 68% of their scores will fall within one standard deviation of the mean.

Answer:

C

Step-by-step explanation:

Answer:

its press play

Step-by-step explanation:

Press Play Step-by-step explanation:

1 year 91 dollars or three month 13 dollars so press play would end up at 52 a year and all ears ends up at 91 a year

Answer: Global maximum: max{-(x - 1)^2 + 4} = 4 at x = 1

Step-by-step explanation:

Answer:

h = 7.333

Step-by-step explanation:

Answer: 7

Step-by-step explanation: I'm not sure about the actual mathematical explanation but I just took the quiz and I'm in the review right now :D

Answer:

4 times 1 over 10

Step-by-step explanation:

i think it is this hope it is right

Answer:

Step-by-step explanation:

it would be 4 times 1 over 10

Answer:

9/25 or .36

Step-by-step explanation:

Answer:

B. 288 In

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    x*(x-2)-(288)=0

 x • (x - 2) -  288  = 0

Find two factors of  -288  whose sum equals the coefficient of the middle term, which is   -2 .

     -288    +    1    =    -287

     -144    +    2    =    -142

     -96    +    3    =    -93

     -72    +    4    =    -68

     -48    +    6    =    -42

     -36    +    8    =    -28

     -32    +    9    =    -23

     -24    +    12    =    -12

     -18    +    16    =    -2    That's it

Answer: 288

Answer:

1 and 1/20

Step-by-step explanation:

LCM of 5 and 4 = 20

4/5 = 16/20

1/4 = 5/20