You have a summer job that pays time and a half for overtime. That means if you work more than 40

hours in a week, your hourly wage for the extra hours is 1.5 times your rate of $12 per hour.

Write a piecewise function describing your weekly pay, P, in terms of the number of hours worked, h.


How much will you get payed if you work 47 hours?

Step-by-step explanation:

so, it is a quadratic equation :

-3x² + 30x - 90 = 0

the first thing we can do is divide by 3

-x² + 10x - 30 = 0

remember, the formula to solve and find the 2 solutions is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case here

a = -1

b = 10

c = -30

x = (-10 ± sqrt(100 - 4×-1×-30))/-2 =

= (-10 ± sqrt(100 - 120))/-2 = (-10 ± sqrt(-20))/-2 =

= (-10 ± sqrt(4×5)i)/-2 = (-10 ± 2×sqrt(5)i)/-2 =

= 5 ± -sqrt(5)i

x1 = 5 - sqrt(5)i

x2 = 5 + sqrt(5)i

remember, i = sqrt(-1), a complex number.

Answer:

13,101,108

as in Thirteen million ,hundred and one thousand, one hundred and eight

Answer:

it is c. both i guess anyways thanks

i hope you passed and sorry for taking your points

Step-by-step explanation:

Answer:

since negative and negative are plus we add it but not

change the sign

Step-by-step explanation:

so the answer is -21

hope I helped

Answer:

21

Step-by-step explanation:

First, we have to find g(2)

Plug in 2 in the g(x) equation

g(2) = 5(2) = 10

Now, we have f(10)

Pug in 10 in the f(x) equation

f(10) = 2(10) + 1

f(10) = 20 + 1 = 21

Answer:

11 cups

Step-by-step explanation:

1.50x10=15 and that wouldn't be the answer because, he needs to cover all of his supplies.  1.50x11=16.5, and that is enough money to cover all of his supplies. So he would need 11 cups total.

Answer:

I = $372.40

Step-by-step explanation:

Given the principal amount of $2,940, which is invested for 4 months at 3.8% interest rate:

Use the following simple interest formula to solve for the interest earned:

I = P × r × t

where:

I = interest earned

P = principal amount invested = $2,940

r = interest rate = 3.8% or 0.380

t = time = 4/12 months = ⅓ or 0.3333

Substitute to given values into the simple interest formula:

I = P × r × t

I = $2,940 × 0.380 × 0.3333

I = $372.40

Therefore, the simple interest earned in 4 months is $372.40.

Answer:

grey

Step-by-step explanation:

the greatest sum is 25

Answer:

 45

---------

(2 - x)

Step-by-step explanation:

That would be:

 45

---------

(2 - x)

Also valid:  45/(2 - x)

Answer:

25%

Step-by-step explanation:

24-18= 6

6 × 100 = 25%

24

Answer:

25% decrease

Step-by-step explanation:

find 1% of 24     24 divided by 100= 0.24

18 divided by 0.24 = 75

now 100 - 75 = 25

Answer:

[tex]<8,10>[/tex]

Step-by-step explanation:

Answer:

Blue (8,10)

Step-by-step explanation:

2(4)=8

2(5)=10

Answer:

$86.80

Step-by-step explanation:

Answer: I think the answer is C.. It looks like an 180 angle from my perspective.

I hope that is correct

Answer:

C

Step-by-step explanation:

Well, we know all the angles must sum up to 180º. From this, we can write the equation ' 3xº + 80º + 2xº = 180º ', which is answer choice C

Answer:

Step-by-step explanation:

Ascending means moving towards the surface.

So the submarine is 340 feet below sea level.

The submarine ascends 76feet.

∴

340

−

76

=

264

f

e

e

t

below sea level.

Answer: 425 feet

Step-by-step explanation:

650 - 225 = 425

ascend is positive

650 is technically negative

Answer:

Step-by-step explanation:

1 yd(36 in/yd)(2.54 cm/in) / (100cm/m) = 0.9144 m

(4(0.9144)) x (3(0.9144)) = 10.03352832 = 10.03 m²

Answer:

1 1/5

Step-by-step explanation:

We know that there is 5 kittens that have to eat six bowls of milk

Each cat would get 1 whole bowl of milk. All the kittens have to share 1/5 of the sixth bowl of milk.

Five kittens are sharing 6 cups of milk equally so 1  1/5 cup of milk is given to each kitten.

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression's structure is as follows: Expression: (Math Operator, Number/Variable, Math Operator)

Expressions in writing are made using mathematical operators such addition, subtraction, multiplication, and division.. For instance, the mathematical equation for "4 added to 2" will be 2+4.

Arithmetic operations are the most fundamental type of mathematical expression. Any combination of numbers and a mathematical operation, such as multiplication, addition, subtraction, or division, are considered arithmetic operations. For instance, the arithmetic operation 9 + 14/2 - 6*(5 + 3) results in -32.

Given,

6 cup of milk so there are 5 kitten

To give 6 cup of milk to 5 kitten is=6/5

= 6/5

=1  1/5

Therefore Five kittens are sharing 6 cups of milk equally so 1  1/5 cup of milk is given to each kitten.

To learn more about Mathematical expression refer to:

https://brainly.com/question/1859113

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If the price of the meal is less than $71, then the $25 gift card would be better than the 35% off coupon.

Let y represent the price of the meal.

For a $25 gift card to be applied, the final price is:

Final price = y - 25

For a 35% off coupon, the final price is:

Final price = y - 0.35y = 0.65y

y - 25 < 0.65y

0.35y < 25

y < 71.42

If the price of the meal is less than $71, then the $25 gift card would be better than the 35% off coupon.

Find out more at: https://brainly.com/question/25285332

Answer:

50%

Step-by-step explanation:

shaded area = 2/4

shaded area as a percentage ;

     2 / 4 x 100

  = 1 / 2 x 100

  = 1 / 1 x 50

  = 50%

Answer:

1/6 because 3 is one of the sides of the 6

The odds against rolling a 3 are 5:1 and the probability of rolling a 3 is 1/6

It is a branch of mathematics that deals with the occurrence of a random event.

There are five numbers (1, 2, 4, 5, 6) that are not 3, so the number of ways to roll a number that is not 3 is 5.

The total number of possible outcomes is 6, since there are six sides on the die.

Therefore, the odds against rolling a 3 are:

5:1

This can also be expressed as a probability by dividing the number of unfavorable outcomes by the total number of outcomes:

P(not rolling a 3) = 5/6

Alternatively, the probability of rolling a 3 is 1/6, so we can also say:

P(rolling a 3) = 1/6

And the probability of not rolling a 3 is:

P(not rolling a 3) = 1 - P(rolling a 3)

= 1 - 1/6

= 5/6

Hence, the odds against rolling a 3 are 5:1 and the probability of rolling a 3 is 1/6

To learn more on probability click:

https://brainly.com/question/11234923

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Answer:

The one highlighted yellow is the correct option

6 liters is to 72 km as 50 liters is to x km

Answer:

250 - [tex]\frac{p}{24}[/tex]

Step-by-step explanation:

Since we have given that

Amount that Liam has = $250

Amount that he and his classmates spent on  present for their teacher =$p

Number of students in which $p will split = 24

According to question,

Amount that left to Liam is given by

250 - [tex]\frac{p}{24}[/tex]

Hence, the required expression will be

250 - [tex]\frac{p}{24}[/tex]

(Hope this helps can I please have brainlist (crown)☺️)

Answer:

-5n+12

Step-by-step explanation:

find the difference which is -5

then find the difference from -5 to 7 which is 12

put it in the sequence

-5n+12

Answer:

-5n+12 that would be your equation                                        

Answer:

Step-by-step explanation:

Let r be the rate of descent in miles per minute

-3/4 miles / 5/8 minutes

-3/4 • 8/5 = -24 / 20 = -1.2 mi/min

so in one minute

-1.2 mi/min (1 min) = -1.2 miles

9514 1404 393

Answer:

  a.  Zachary is correct

  b. (-1)(-3) = 3 (Scott & Tina are wrong); (5)(-2) = -10 (Aaron is wrong); (1)(3) = 3

Step-by-step explanation:

a. An even number of minus signs in a product will mean the product is positive; an odd number will mean the product is negative. Zachary's observation is consistent with this rule. Zachary is correct.

We can show the others are incorrect using a counter-example.

  (-1)(-3) = 3 . . . . shows Scott, Aaron, and Tina are incorrect

Tina's rule is not consistent with the commutative property of multiplication.

Aaron's rule applies to addition, but not to multiplication.

__

b. The example used above is one example. Here are two more.

  (-1)(-3) = 3 . . . . . shows Zachary correct; Scott, Aaron, Tina incorrect

  (5)(-2) = -10 . . . . Aaron's own example shows him incorrect

  (1)(3) = 3 . . . . . . agrees with all students' observations

Answer:

The answer is 24 with remainder of 1

Step-by-step explanation:

First, solve the problem by seeing what number gives you 4 when multiplied by 2. That would be 2 (2x2=4)

you subtract 4 by 4 to get zero and bring down the nine

Then you see which number would get you close to nine without overlapping when multiplied by two. That would be 4 (2x4=8)

your answer would be 24 then you subtract 9 by 8 to get a remainder of 1

Answer: C

.Step-by-step explanation:

it was right for me so if its wrong im sorry :)

Answer:

x = 10

Step-by-step explanation:

RO and OQ are congruent

Since RO = 50, and RQ = 12x - 20,

OQ = 12x - 20 - 50 = RO

50 = 12x - 70

120 = 12x

x = 10

-Chetan K