Samantha makes $8.00 an hour babysitting. With the money Samantha earns babysitting, she plans to buy herself a MP3 player that costs $154.00.

Which inequality represents the number of hours Samantha would have to babysit in order to have enough money to buy the MP3 player?

A youth group takes a bus to the movie theater. The cost of a drink is $2.25, the cost of popcorn is $3.45, and the cost of a ticket is $7.00. Each student gets a ticket, a drink, and popcorn. The bus rental costs $100.

If the total cost of the trip is $252.40, how many people went?

Sandra surveyed 15 of her friends to find the number of badges and stickers they owned.


Based on the distribution of data, which observation is correct?


The mean number of stickers is about 1.3 times the mean number of badges.

The mean number of stickers is about 1.3 times the mean number of badges.

The mean number of stickers is about 0.78 times the mean number of badges.

The mean number of stickers is about 0.78 times the mean number of badges.

The mean number of badges is greater than the mean number of stickers because the tallest column is farther right.

The mean number of badges is greater than the mean number of stickers because the tallest column is farther right.

The median number of badges is greater than the median number of stickers because the tallest column is farther right.

The median number of badges is greater than the median number of stickers because the tallest column is farther right.

Answer:

Step-by-step explanation:

Use FOIL method.First multiply (5x + 1) and (3x - 4). Then multiply (15x² - 17x - 4) by (x +2)

Volume of the rectangular prism = length *width * height

              = (5x + 1) (3x -4)(x +2)

              = [ 5x*3x + 5x*(-4)  + 1*3x + 1*(-4) ] (x + 2)

             = [15x² - 20x + 3x - 4] (x +2)    {Combine like terms}

             = [15x² - 17x - 4] (x + 2)

             =[15x² -17x - 4]*(x) + [15x² - 17x  -4]*2

            = [15x²*x - 17x*x - 4*x ]+ 15x²*2 - 17x *2  - 4*2

            = 15x³ - 17x² - 4x  + 30x² - 34x - 8

           = 15x³ - 17x² + 30x²  - 4x - 34x - 8    {Combine like terms}

           = 15x³ + 13x²  - 38x - 8

Answer:

D) $5385.10

Step-by-step explanation:

Exponential equation of decay:

The exponential equation for the decay of an amount after t years is given by:

[tex]A(t) = A(0)(1-r)^t[/tex]

In which A(0) is the initial amount and r is the decay rate, as a decimal.

If you buy a motorcycle for $12,500 in 2015 and it depreciates (shrinks) in value by 15.5% every year

This means that [tex]A(0) = 12500, r = 0.155[/tex]

So

[tex]A(t) = A(0)(1-r)^t[/tex]

[tex]A(t) = 12500(1-0.155)^t[/tex]

[tex]A(t) = 12500(0.845)^t[/tex]

How much will it be worth in 2020?

2020 is 2020 - 2015 = 5 years after 2015, so this is A(5). So

[tex]A(5) = 12500(0.845)^5 = 5385.10[/tex]

The correct answer is given by option D.

Answer:

1st, 4th and 5th are in arithmetic sequence.

Answer:

a) 1,2,3,4,5,6............

d) 3,0, -3 ,-6,-9,-12.............

e) 6,5,4,3,2,1...........

are arithmetic sequence

Step-by-step explanation:

Arithmetic sequence is series of numbers that the difference of consecutive terms is constant

a) 1, 2 , 3 , 4 , 5 , 6...........

Common difference = 1

d) 3,0, -3 ,-6,-9,-12.............

Common difference = second term - first term

                                  = 0 - 3 = -3

e) 6,5,4,3,2,1...........

Common difference = 5 - 6 = - 1

Answer:

The equation would be y = -3/2x - 1

Step-by-step explanation:

The slope is -3/2 and the y-intercept is -1.

Answer:

This is the answer!!!

Step-by-step explanation:

Answer:

x = -2

y = 5

Step-by-step explanation:

7y - 5x = 45    -------------------(I)

x = 8 - 2y -----------------------(II)

Substitute x = 8 - 2y in equation (II)

7y - 5(8-2y) = 45

7y + 8 *(-5) - 2y*(-5) = 45

7y - 40 + 10y = 45

17y - 40 = 45

17y = 45 + 40

17y = 85

y = 85/17

y = 5

Plugin y = 5 in equation (II)

x = 8 - 2*5

x = 8 - 10

x = -2

Answer:

D. 2r = 16

Step-by-step explanation:

r/2 = 16, r=32

8= r/8,    r=64

4r=16,     r=4

2r=16

/2    /2

r=8

Answer:

>> Null hypothesis; H0: μ1 - μ2 ≥ 0

Null hypothesis; Ha: μ1 - μ2 < 0

>> z = 1.85

>> p-value = 0.03

>> there is evidence sufficient to reject the claim that average weekly food expenditure of households in City 1 is more than that of households in City 2.

The economist claim is not supported by data.

Step-by-step explanation:

We are given;

Sample mean of city 1; x1¯ = 164

Sample mean of city 2; x2¯ = 159

Sample size of city 1; n1 = 35

Sample size of city 2; n2 = 30

Standard deviation of city 1; σ1 = 12.5

Standard deviation of city 2; σ2 = 9.25

Let's define the hypotheses;

Null hypothesis; H0: μ1 - μ2 ≥ 0

Null hypothesis; Ha: μ1 - μ2 < 0

Test statistic which is the z-score Formula between 2 mean is;

z = ((x1¯ - x2¯) - 0)/√((σ1)²/n1) + ((σ2)²/n2))

z = (164 - 159 - 0)/√((12.5²/35) + (9.25²/30))

z = 5/2.705

z = 1.85

From online p-value from z-score calculator attached, using z = 1.85, one tailed, significance value of 0.05, we have;

p-value = 0.03

The p-value is less than the significance value, and so we will reject the null hypothesis and conclude that there is evidence sufficient to reject the claim that average weekly food expenditure of households in City 1 is more than that of households in City 2.

Answer:

[tex]f(x) = 5 {x}^{2} + 2x + 5 \\ when \: x = 2 \\ f(2) = 5( {2})^{2} + 2(2) + 5 \\f(2) = 29[/tex]

Answer: Angle VUW and QRP are alternate exterior angles.

They are both exterior and are on alternate sides of the transversal.

Hope this helps!

Answer:

-8x+8=-6x+20 and x= -6

Step-by-step explanation:

Reason to equation:

This image shows alternative interior angles.

Alternative interior angles are congruent to each other.

How to find x:

-8x+8=-6x+20

We subtract 8 from both sides

-8x=-6x+12

We add 6x to both sides

-2x=12

We divided -2 from both sides

-2x/-2x = 12/2

Leaving us with x=-6

Answer:

The reflexive property of congruence

Step-by-step explanation:

This property says that an object is congruent to itself.

غف8ىرف4-

ف8غ4ى0ض8رص90

Answer:

i think the answer is B, good luck

Answer:

c i do believe good luck with the answer

Answer:

a and b

Step-by-step explanation:

Ani do niot know lol

Step-by-step explanation:

Answer:

J. 20ft

Step-by-step explanation:

1 2/3 = 5/3

5/3 * 12/1 = 60/3

60/3 = 20

Answer:

n has no value.

There is no solution to this equation

Step-by-step explanation:

let n be the number

In pieces:

sum of the number and 1: (n + 1)

8 times the sum: 8(n + 1)

-7 times a number: -7n

sum of -7 times and...: -7n + 8(n + 1)

number minus 7: n - 7

the same as: =

All together:

-7n + 8(n + 1) = n - 7

-7n + 8(n+1)=n-7

-7n + 8n+8=n-7

0=-15

Answer:

19.50

Step-by-step explanation:

If the scarf is 25% off, you have to pay 100% -25% = 75%

26 *75%

26 *.75

19.5

Step-by-step explanation:

interquartile range = 5

.

The mean absolute deviation = 3.6

.

hope this gonna help !

Answer:

range = 15

IQR= 5

mean absolute deviation  = 3.6

1st quartile = 10

median= 12.5

3rd quartile = 15

Answer:

just substitute the value of x as 1

f(x)=3(12)x+1

f(1)=3(12)(1)+1

f(1)=3(12)(1)+1

f(1)=36+1

f(1)=37

Answer:

r = 7.1 cm

Step-by-step explanation:

Given the following data;

Volume of hemisphere = 757 cm³

To find the radius of the hemisphere;

Mathematically, the volume of a hemisphere is given by the formula;

Volume of hemisphere = ⅔πr³

Where, r is the radius of the hemisphere.

π = 22/7

Substituting into the formula, we have;

757 = ⅔πr³

Cross-multiplying, we have;

757 * 3 = 2πr³

2271 = 2*22/7*r³

2271 = 44/7*r³

Cross-multiplying, we have;

2271 * 7 = 44r³

15897 = 44r³

r³ = 15897/44

r³ = 361.30

Taking the cube root of both sides, we have;

r = 7.1223

To the nearest tenth of a centimeter;

r = 7.1 cm

Answer:

1 1/3 cups of flour

Step-by-step explanation:

1/3 x 4 = 4/3 = 1 1/3

Hope that helps! :)

-Aphrodite