Titus works at a hotel. Part of his job is to keep the complimentary pitcher of water at least half full and always with ice. When he starts his shift, the water level shows 8 gallons, or 128 cups of water. As the shift progresses, he records the level of the water every 10 minutes. After 2 hours, he uses a regression calculator to compute an equation for the decrease in water. His equation is W –0.414t + 129.549, where t is the number of minutes and W is the level of water. According to the equation, after about how many minutes would the water level be less than or equal to 64 cups?

150 minutes
160 minutes
170 minutes
180 minutes

Answers

Answer 1

Answer: b. 160

Step-by-step explanation: just took the test

Answer 2

There are 160 minutes would the water level be less than or equal to 64 cups.

What is Inequality?

A relation by which we can compare two or more mathematical expression is called an inequality.

Here, The equation we're given is,

W = -0.414t + 129.549,

which an be written as,

-0.414t + 129.549 = W.

Now, We are asked to find the amount of time it would take for the water level to be less than or equal to 64 cups.  

Plugging this information in, we have:

-0.414t + 129.549 ≤ 64

To solve this, we first cancel 129.549 by subtracting from both sides:

-0.414t + 129.549 - 129.549 ≤ 64 - 129.549

-0.414t ≤ -65.549

Now divide both sides by -0.414:

-0.414t/-0.414 ≤ -65.549/-0.414

t ≥ 158.33

(When we multiply or divide both sides of an inequality by a negative number, we must flip the inequality symbol.)

t ≥ 160 minutes

Thus, There are 160 minutes would the water level be less than or equal to 64 cups.

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Related Questions

There are 10 crustaceans and 25 fish the deep blue tank has the same ratio of crustaceans to fish. There are 50 crustaceans in the deep blue tank.

Answers

Answer:

125

Step-by-step explanation:

C : F

10: 25

×5: ×5

50: ?

No. of fish in the tank = 25 × 5

                                    = 125

The function p(t)=3(2)t represents the population of a certain type of bacteria after t days what is the population of the bacteria after 5 days

Answers

Answer:

p(5) = 30

Step-by-step explanation:

p(t) and if t=5 then p(5)

p(5) = 3(2)(5)

p(5) = 6(5)

p(5) = 30

Hope this helps and I hope u have an Amazing day!!

The temperature in Quebec City was 5 degrees Celsius at 4 pm. By midnight, the temperature dropped 15 degrees. A number line has points negative 20, blank, A, B, 0, 5, C, blank, D. Which point is a representation of the colder midnight temperature in degrees Celsius?

Answers

Answer: Point A

Step-by-step explanation:

The temperature at midnight is;

= 5 - 15

= -10°C

Looking at the number line, one can surmise that the scale is in multiples of 5. This means that C is 10, B is -5 and A is -10.

With point A being -10°C, it represents the colder midnight temperature.

Answer:

Point A

Step-by-step explanation:

We know that the temperature dropped 15 degrees, and that it was initially of 5°C. So, by midnight, the temperature will be of -10°C (5-15=-10).

We also know that the distance between points is of 5°C. So, the point that we have to mark is point A, which represents -10°C.

PLS HELP MEEEEE!!!!!!!!!!!!

Answers

Answer:

(1,2)

Step-by-step explanation:

The solution is the point where the two lines intersect at.

In other words the point where the two lines make an x.

Hope this helps ya!!

Answer: (2,1)

Step-by-step explanation:

Will give you brainliest

Answers

Answer:

x = 36°

Step-by-step explanation:

m<RST + m<TSV = m<RSV

m<RST = 5x + 5

m<TSV = 46

RSV = 232

Plug in these values

5x + 5 + 46 = 232

5x + 51 = 232

5x = 181

x = 36.2, if rounding down;

x = 36°

please help before it’s too late lol

Answers

Answer:

15625

Step-by-step explanation:

To multiply powers of the same base, add their exponents. Add 2 and 4 to get 6.

Calculate 5 to the power of 6 and get 15625.

4 cups of peanut butter is needed to make 80 cookies how many cups of peanut butter would be needed to make 400 cookies​

Answers

Answer:

20 Cups of peanut butter

Step-by-step explanation:

You take 400 divided by 80, which would give you 5, multiply that by the number of cups (4x5) and you final answer will be 20.

Answer:

20 cups

Step-by-step explanation:

80 cookies are made by 4 cups

which means 1 cookie is made by

[tex] \frac{4}{80} cups[/tex]

Therefore 400 cookies would require

[tex]400 \times \frac{4}{80} cups = 20cups[/tex]

Please mark me brainliest

(7.36×10 9 )−(6.2×10 9 )

Answers

Answer:

[tex] \sf \: 104.4[/tex]

Step-by-step explanation:

(7.36)(10)(9)−(6.2)(10)(9)

=(73.6)(9)−(6.2)(10)(9)

=662.4−(6.2)(10)(9)

=662.4−(62)(9)

=662.4−558

=104.4

Mohamed purchased a car for $30,000. It deprecates by 25% of its current value every year. How much will the car be worth 3 years after it is purchased?

Answers

Answer:

$12,656.25

Step-by-step explanation:

year 1: 30,000-25%=22,500

year 2: 25,000-25%=16,875

year 3: 16,875-25%=12,656.25

Write 2.454545... as a fraction in lowest terms

Answers

490909/200000 is the answer

Have a great day!

Stay safe and healthy!

Happy holiday seasons!

May I please have brainliest?

I need help on what a slope and y-intercept and how to find the equation

Answers

Answer:

y=mx+b is the slope intercept form.

Step-by-step explanation:

m is the slope (how the line is moving across the graph)

b is y-intercept (where the line crosses the y axis)

Hope this helps!

Aimee tossed a coin and spun a spinner that is divided into 3 equal sections. She did this 50 times.What is the experimental probability that the next time Aimee tosses the coin and spins the spinner she will get a Tails and a 2? ​

Answers

Answer:12.5 times out of 50

Step-by-step explanation:think about it add tails and 2

The sum of two numbers is 22. One of the numbers is two times the other. What are the numbers

Answers

The numbers is 44/3 and 22/3 are that numbers.

Given that

The sum of two numbers is 22.

One of the numbers is two times the other.

To find

What are the numbers ?

So, according to the question

Let's assume that numbers are x and y, where x is greater then y.

So, we can say that

The sum of that numbers,

x+y = 22,  -------------(1)

And

One of the numbers is two times the other.

x = 2y ---------------(2)

Now, put the value of eq(1) in eq(2)

So, we will get

x+y = 22,  -------------(1)

2y+y = 22

3y = 22

y = 22/3

Now, put the value of y in eq(2)

So, we will get

 x = 2y ---------------(2)

x = 2 (22/3)

x = 2 ×[tex]\frac{22}{3}[/tex]

x = 44/3

That numbers are 44/3 and 22/3.

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Rectangle ABCD has side lengths of 6 centimeters and 8 centimeters. Rectangle EFGH has side lengths of 9 centimeters and 12 centimeters. Determine the ratio of corresponding side lengths if ABCD is similar to EFGH.

1:3
2:3
3:1
3:2

Answers

Answer:

2/3

Step-by-step explanation:

6/9=8/12=2/3

........

100 students are interviewed to see which of biology, chemistry or physics they prefer.
36 of the students are girls. 15 of the girls like biology best.
14 of the boys prefer physics.
7 out of the 31 who prefer chemistry are girls.
What percentage of the students prefer biology?

Answers

Answer: 41%

Step-by-step explanation:

15 girls prefer biology.

Find the boys who prefer biology;

There are 36 girls in total so;

= 100 - 36

= 64 boys interviewed

14 boys prefer Physics

= 64 - 14

= 50 boys prefer Biology and Chemistry

7 out of the 31 who prefer chemistry are girls so the boys who prefer chemistry are;

= 31 - 7

= 24 boys

Boys who prefer Biology;

= 50 - 24

= 26 boys

Total who prefer biology;

= 15 girls + 26 boys

= 41 students

Percentage = 41/100 = 41%

For what values of x would the following be true?
-2(x-3)<4

Answers

Answer:

x > 1

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define

-2(x - 3) < 4

Step 2: Solve for x

Divide -2 on both sides:                    x - 3 > -2Add 3 to both sides:                          x > 1

Here we see that any value x greater than 1 would work as a solution to the equation.

There are 3 islands A,B,C. Island B is east of island A, 8 miles away. Island C is northeast of A, 5 miles away and northwest of B, 7 miles away. What is the bearing needed to navigate from island B to C? Round to the nearest degree

Answers

Answer:

[tex]B = 38[/tex]

Step-by-step explanation:

This question can be illustrated using the attachment and the required bearing will be calculated using cosine theorem;

[tex]b^2 = a^2 + c^2 - 2ac\ CosB[/tex]

In this case:

[tex]b = 5[/tex]

[tex]a = 7[/tex]

[tex]c = 8[/tex]

[tex]<B = ??[/tex]

Substitute these values in [tex]b^2 = a^2 + c^2 - 2ac\ CosB[/tex]

[tex]5^2 = 7^2 + 8^2 - 2 * 7 * 8\ CosB[/tex]

[tex]25 = 49 + 64 - 112\ CosB[/tex]

[tex]25 = 113- 112\ CosB[/tex]

Collect Like Terms

[tex]25 -113=- 112\ CosB[/tex]

[tex]-88=- 112\ CosB[/tex]

Divide through by -112

[tex]\frac{-88}{-112}= \frac{- 112\ CosB}{-112}[/tex]

[tex]\frac{-88}{-112}= CosB[/tex]

Reorder

[tex]Cos\ B = \frac{-88}{-112}[/tex]

[tex]Cos\ B = 0.7857[/tex]

Take arccos of both sides

[tex]B = cos^{-1}(0.7857)[/tex]

[tex]B = cos^{-1}(0.7857)[/tex]

[tex]B = 38[/tex] --- (approximated)

Hence, the bearing is approximately 38 degrees

solve the value of x: x + 13.8 ≥ 20.23

Answers

Answer:

x≥6.43

Step-by-step explanation:

Let's solve your inequality step-by-step.

x+13.8≥20.23

Step 1: Subtract 13.8 from both sides.

x+13.8−13.8≥20.23−13.8

x≥6.43

3. Stamps are sold in a 10 by 10 sheet. The total value of a sheet of stamps is $60.00.
a) Express the number of stamps as a power and in standard from​

Answers

Answer:

There is a total of 100 stamps, or 10² stamps.

Explanation:

10•10=100 (standard form)

100 can be written as 10² in scientific notation (power)

2x – 3y = 15


-2x + y = -1

Answers

Answer: -y=7

Explanation:

Think of your problem as subtraction:

2x-3y+15

-2x+3y=-1

What is the equation, in slope-intercept form, of a line that passes through the points (-2, 4) and (3, -1)?

Answers

Answer:

Step-by-step explanation: The equation of the line passing through the points (2, –1) and (5, –10) is y = -3x + 5 .Jun 9, 2017

What is the price of an article costing
Rs 1300 after levying 13 value Added Tax
find it
SP-?
CP-1300
VAT% - 13%​

Answers

Answer: Rs 1469

Step-by-step explanation:

Coat of item = RS 1300

Value added tax = 13%

The price of the item will then be calculated as:

= 1300 + (1300 × 13%)

= 1300 + (1300 × 0.13)

= 1300 + 169

= Rs 1469

Question 6
1 pts
Verizon charges a $100 initial contract fee, then $70 a month for a basic cell
phone plan. What is the slope (rate of change)?

Answers

Answer:

Slope is rate of change, so define your values.

-$100 is the initial fee

-$70 is charged per month

per month is the constant rate of change

70 is the slope

The slope (rate of change) of the function is 70.

What is a slope?

In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction

If a line passes through two points (x₁ ,y₁) and (x₂, y₂) ,

then the equation of line is

y - y₁ = (y₂- y₁) / (x₂ - x₁) x (x - x₁)

To find the slope;

m =  (y₂- y₁) / (x₂ - x₁)

Given:

Verizon charges a $100 initial contract fee,

then $70 a month for a basic cell phone plan.

Let the x be the number of months.

So, the equation,

y = 70x + 100

By comparing with the slope-intercept form,

y = mx + b, where m is the slope.

So, m = 70.

Therefore, 70 is the slope.

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01:57:53
What is the radius of a circle whose equation is (x + 5)2 + (y - 3)2 = 427
02 units
4 units
8 units
0 16 units
Mark this and return
Save and Exit
Next
Submit
Answer is 4

Answers

Answer:

idu it, the question but the euqation is x= -2y - 433 / 2 -5

Step-by-step explanation:

The radius of the circle is 4 units

How to determine the radius?

The equation of the circle is given as:

(x + 5)^2 + (y - 3)^2 = 4^2

The general equation of a circle is given as:

(x - a)^2 + (y - b)^2 = r^2

Where r represents the radius

By comparing both equations, we have:

r^2 = 4^2

Take the square root of both sides

r = 4

Hence, the radius of the circle is 4 units

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Linear Review: Billy Bob recently purchased solar panels for his home. After 5 months he still owed 2850. He makes a $30 payment each month towards his loan. Build a model. Write an explanation for slope and y-intercept. How many months will it take Billy Bob to finish making payments.

Answers

Answer:

Step-by-step explanation:

B) The first step is to calculate the monthly payment using a present value (PV) of $59,000 , monthly interest rate of 7.60 /12 = 0.633333 %, and 60 periods, which = $1185.04 ; the second step is to add $50 to this monthly payment giving the new monthly payment of $1235.04 ; the last step is to calculate the time required to pay off the loan = 57.0740 months.

Felix wrote several equations and determined that only one of the equations has no solution. Which of these equations has no solution?
3 (x minus 2) + x = 4 x + 6
3 (x minus 2) + x = 4 x minus 6
3 (x minus 2) + x = 2 x minus 6
3 (x minus 2) + x = 3 x minus 3

Answers

Answer:

A. 3(x-2)+x=4x+6 has no solution.

Step-by-step explanation:

We are provided the subsequent data in the question:

We evaluate the presented expressions to find which equations have no answer.

1)  Image of solved equation is added below.

2)  Image of solved equation is added below

3)  Image of solved equation is added below

4)  Image of solved equation is added below

Equation 1 has no solution.

Answer:

I believe it's B ^^

A snack mix recipe calls for 1 1/2 cups of dip and 1/3 cup of vegetables. Cole wants to make the same recipe using 1 cup of vegetables. How many cups of dip will cole need.

Answers

Answer:

4 1/2 cups of dip

Step-by-step explanation:

Let required amount be x

Using the ratio to find x:

1 1/2 ÷ x = 1/3 ÷ 1x = 1 1/2 × 3x = 3/2×3 x = 9/2 x = 4 1/2 cups

Shady Rivers summer camp has 188 campers this week. If there are 22 campers to each cabin, what is the least number of cabins needed?

Answers

Nine is the correct answer to this question

The least number of cabins needed for campers is 8.

Given that, Shady Rivers summer camp has 188 campers this week.

What is the unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

The least number of cabins needed = Total number of campers/Number of campers to each cabin

= 188/22

= 8.54

Therefore, the least number of cabins needed for campers is 8.

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HELPPPPPPPPPP MEEEEEEE PLSSSSSS

Answers

Answer:

vertex is (2 , -21)

x = -2 +√10

y = (x-3)²+1

Step-by-step explanation:

x² - 4x - 17

(x² - 4x + 4) - 4 - 17

(x-2)² - 21

vertex is (2 , -21)

2x² +8x = 12

x² + 4x = 6

(x² +4x + 4) - 6 - 4

(x+2)²  - 10

x+2 = √10

x = -2 +√10

y = (x-3)²+1

Question 5
Which graph shows a linear function?
PLEASE HELP!!

Answers

Question 5

Answer: Top left

Answer:

Top Left

Their the straight line

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