(62 points) Jim makes $5 an hour at the surf shop. His boss gives him a one time bonus of $50. Sarah makes $8 an hour at the clothes store. Her boss gives her a one time bonus of $14. After how many hours will their paychecks be the same?

Answer:

C

Step-by-step explanation:

Because when you multiply 4³ × 4^4 = 16384

And 4^9 = 262144

(divide) 16384/262144 = .0625

.0625 = [tex]\frac{1}{16}[/tex]

[tex]\frac{1}{4^2}[/tex] = [tex]\frac{1}{16}[/tex]

because 4 * 4 = 16

HOPE THIS HELPED!!!

Answer:

68.268%.

Step-by-step explanation:

Let \mu be the mean pregnancy length.

The given standard deviation, [tex]\sigma=7[/tex] days

The z-score:

z=\frac{x-\mu}{\sigma}

where x is any pregnancy length.

The range of x within 7 days of the mean pregnancy length is

[tex]\mu-7<x<\mu+7.[/tex]

z-score for this range is:

[tex]\frac{\mu-7-\mu}{\sigma}<z<\frac{\mu+7-\mu}{\sigma}[/tex]

[tex]\Rightarrow -1<z<1[/tex]

So, the area on the normally distributed curve for the above range of z-score will give the expected percentage of birds to occur within 7 days of the mean pregnancy length.

Now, from the z-score table:

The area from [tex]z = -\infty[/tex] to z=1 is 0.84134

and the area from [tex]z = -\infty[/tex] to z=-1 is 0.15866.

So, the area for -1<z<1

=0.84134 - 0.15866

=0.68268

Hence, the percentage of births would be expected to occur within 7 days of the mean pregnancy length=68.268%.

Answer:

X=75 Bottom is 75, right is 105, up is 70, left is 110.

Step-by-step explanation:

4.4x+30=360

4.4x=330

x=75

Answer:

y=41  73=x

Step-by-step explanation:

180=x+9+98

minus 98 from both sides

82=x+9

minus 9 from both sides

73=x

2y=x+9 because they are corresponding angles

2y=73+9

2y=82

divide by 2 on both sides

y=41

Answer:

40 + 2W < 57

Step-by-step explanation:

Given that:

Perimeter of a rectangle (P) :

P = 2(length(L) + width(W))

If the length of a certain rectangle L = 20 ; which inequality shows perimeter of rectangle is less than 57 units

P = 2(length(L) + width(W))

40 + 2W < 57

Answer:

x + (x+1) + (x+2) + (x+3) = -62

x = -17

Step-by-step explanation:

x = smallest

x + (x+1) + (x+2) + (x+3) = -62

4x +6 = -62

4x = -68

x = -17

Answer: everything except option 2 I think

Step-by-step explanation:

Rational numbers are numbers that can be written as quotients

Answer:

£90

Step-by-step explanation:

Total money=£1100

Cost of new tv=£530

Mortage payment=£480

Therefore total money left =1100-(530+480)

=1100-1010=£90

Answer:

2/6

Step-by-step explanation:

1/3 times 2

Answer: c

Feet

2

5

6

7

Inches

24

60

72

84

Step-by-step explanation: 1ft = 12 inches 2ft=24 inches 3ft= 36 inches etc

multiply ft by 12 to get inches

Answer:

(х+2)(х+5)

Step-by-step explanation:

easy, just train quadratic equations ;)

Answer:

90

Step-by-step explanation:

1 is in the hundreds place

9 is in the tens place

4 is in the ones place

6 is in the tenths

Answer:

(32/2)*3=48

Step-by-step explanation:

In order to find the answer, we must find one third of last year's trip. To do this, we can simply divide the cost of this years trip by two, 32/2=16.

Now if we multiply this this number by 3, 16*3=48, we can see that the total cost of last year's trip was $48.

If we'd like to turn this into one equation, it looks like this: (32/2)*3=48

Answer:  B) The value of k must be between 1 and 2

The function f(x) has a restricted domain [1, 2] which means [tex]1 \le x \le 2[/tex]

So we can only pick inputs in that interval. If x = k, then [tex]1 \le k \le 2[/tex]

Answer:

Step-by-step explanation:

(10x + 17)° = 87° + 5x° (This is because of the rule of corresponding angles)

=> 10x° = 87° + 5x° - 17°

=> (10x - 5x)° = 87° - 17°

=> 5x° = 70°

=> x° = ( 70/5 )°

=> x° = 14°

Therefore x = 14°

If my answer helped, kindly mark me as the brainliest!!

Thank You!!

Answer:

x≥−7

Step-by-step explanation:

Answer:

x [tex]\geq[/tex] -7

Step-by-step explanation:

-49x - 56 [tex]\leq[/tex] 287

-49x [tex]\leq[/tex] 343

x [tex]\geq[/tex] -7

note: if you're going to divide by a negative number you need to flip the sign.

Answer:

n=15          j=12

Step-by-step explanation:

The scale factor is 1.5

Match up the triangles, and you can see that 12/8=1.5

10*1.5=j, or 15

18/1.5=12

Given parameters:

Charge per day of Tuxedo = $30 per day

Non-refundable charge = $60 for each tuxedo

Unknown:

Equation to determine total cost = ?

Solution:

  Represent;

 Total cost  = y

 Number of days = x

Now;

   Total cost =  Non refundable charge + charge per day

          y  = $60 + $30x

The equation is;

        y = 60 + 30x for a tuxedo

Answer:

Honestly first get rid of all the negative people around you there will always be that person or persons who don't belive in you. But trust me if you belive in yourself give it your 100% and don't stop grinding. ask people for promotions and don't br afraid to experiment try not to stay on the same idea try, trying something new.

Answer:

y=-4

Step-by-step explanation:

Hope this helps :)

Answer:

y = -4

Step-by-step explanation:

Assuming we are solving for y, start by isolating the variable:

-28 = 5y - 8

-20 = 5y (Added 8 on both sides.)

-4 = y (Divided 5 on both sides.)

6x -18+x

7x-18

Option C is the correct answer

Answer:

1

Step-by-step explanation:

1 is a positive integer

Answer:

answer would be 120 degrees.

Step-by-step explanation:

because 4y+4+60=180

angle Q =4y+4

so 180-60=120

Answer:

[tex]0.9\bar{2}[/tex]

Step-by-step explanation:

since the bar or line over the number means that it is repeated. This is also equivilent to the rational fraction 83/90

Answer:

4,240 tickets

Step-by-step explanation:

The first level of standing room is a square with one side measuring 80'.

Area of the first level = length^2

= 80^2

= 6,400 square ft

The second level, also standing room, is a rectangle measuring 120' by 30' ft.

Area of the second level = length × width

= 120 × 30

= 3,600 square ft

Total area of the standing rooms = (6,400 + 3,600) square ft

= 10,000 square ft

Each person in the standing room will occupy 2.5 square ft

Number of Persons that will occupy the standing room = Total area of the standing rooms / 2.5 square ft

= 10,000 square ft / 2.5 square ft

= 4,000

Therefore the number of Tickets that should be sold

= Number of seats + Number for standing Room

= 240 + 4000

= 4,240 tickets

To find m, we can use the formula y2 - y1 / x2 - x1

x1 = 2

y1 = 50

x2 = 4

y2 = 90

Let's plug these numbers into our formula.

m = 90 - 50 / 4 - 2 = 40/2 = 20

So far our equation looks like: y = 20x + b

Now, let's plug one of the points into our equation.

50 = 20(2) + b

Simplify

50 = 40 + b

Subtract 40 from both sides.

10 = b

The final equation is: y = 20x + 10

Answer:

Step-by-step explanation:

These are what the symbols mean so you can better understand them

p: I like to go to the beach

q: I like to eat ice cream

r: I do not enjoy rainy days

^ = means OR so a that has or in it.

v = means AND so any sentance with and in it

~ = not so any phrase that condridicts what the origional P,Q, and/or R

∴ = Therefore so any phrase with therefore.

So; p ∧ q would be P... OR... Q  acording to the key above would be

I ilke to go to the beach OR I like to eat icecream.

You can figure out the rest! Hope this helps you!

Answer:

~q v r

Step-by-step explanation because I mart

Answer:None

Step-by-step explanation:

You can write a statement of proportionality without any additional information:

weight = k × length for some constant k

If you need to know the specific weight of a specific length, then you need to know the constant of proportionality (the value of k).