Identify the corresponding word problem, given the inequality: 16x ≥ 384

A) Clint is going hiking and will need to carry enough water for the duration of the hike. He determines he will need 384 ounces of water. If a bottle holds 16 ounces of water, how many bottles will he need?
B) Clint is going hiking and will need to carry enough water for the duration of the hike. He determines he will need at least 384 ounces of water. If a bottle holds 16 ounces of water, how many bottles will he need?
C) Clint is going hiking and will need to carry enough water for the duration of the hike. He determines he will not need more than 384 ounces of water. If a bottle holds 16 ounces of water, how many bottles will he need?
D) Clint is going hiking and will need to carry enough water for the duration of the hike. He determines he will need at least 24 bottles of water. If a bottle holds 16 ounces of water, what is the total amount of water he will need?

Answers

Answer 1

B) Clint is going hiking and will need to carry enough water for the duration of the hike. I have determined he will need at least 384 ounces of water. If a bottle holds 16 ounces of water, how many bottles will he need?
The problem is represented correctly by the inequality shown:
16x ≥ 384
Where,
x: is the number of 16 oz water bottles.
The key word to notice is:
"he will need AT LEAST 384"
It means that you may need 384 or more ounces of water.

Related Questions

What is the value of the expression, written in standard form? (6.6x10^-2)/(3.3x10^-4)

Answers

0.066/0.00033
The answer is 200.

Answer: Value of expression is 200.

Step-by-step explanation:

Since we have given that

[tex]\dfrac{6.6\times 10^{-2}}{3.3\times 10^{-4}}[/tex]

We need to use "law of exponents":

[tex]a^m\div a^n=a^{m-n}[/tex]

So, it becomes

[tex]\dfrac{6.6\times 10^{-2}}{3.3\times 10^{-4}}\\\\=2\times 10^{-2+4}\\\\=2\times 10^2\\\\=200[/tex]

Hence, Value of expression is 200.

Who can help me with #9 a. and b.

Answers

A) 150% is also 1 1/2 times the original amount, so to find 100% of the number divide it by 3 to get 21 for the bike and 7 for the helmet, then multiply it by 2.
The bike cost $42 and the helmet cost $14 for the company.
B) They earned $21 for the bike and $7 for the helmet, the numbers we got earlier by dividing the other numbers by 3, which is how much they marked up prices.

Hope this helps!

What shows all like terms in this expression?

4x - 3 + 7x + 1

Answers

Answer:

Step-by-step explanation:

(A rectangular prism has a length of 1 1/4 yards, a width of 2 1/2 yards, and a height of 4 yards.

Enter the volume of the prism as a mixed number in simplest form in the box.

Answers

Answer:

Step-by-step explanation:

It is given that A rectangular prism has a length of [tex]1\frac{1}{4}[/tex]yards a width of [tex]2\frac{1}{2}[/tex] yards, and a height of 4 yards.

Now, the volume of the prism is given as:

[tex]V=Length{\times}width{\times}height[/tex]

[tex]V=\frac{5}{4}{\times}\frac{5}{2}{\times}4[/tex]

[tex]V=\frac{25}{2}[/tex]

[tex]V=12\frac{1}{2}cubic yards[/tex]

Therefore, the volume of the rectangular prism will be [tex]V=12\frac{1}{2}cubic yards[/tex].

Answer:

V=12 1/2cubic yards.

Step-by-step explanation:

dennis wants to buy a card for his wife. dennis calculates the amount of the card as $4.50. the actual price of the card is $4. what is Dennis's percent error?

Answers

First, calculate the error by subtracting the actual price from the estimated price. So the error is $4.50 - $4 = $.50.
To find the percent error, divide the error by the actual price and multiply by 100 %. Hence, $.50/$4 =.125 x 100 = 12.5 %.
Dennis' percent error is 12.5 %.

Final answer:

Dennis's percent error in estimating the price of the card is 12.5%, calculated by taking the difference between his estimate and the actual price, dividing by the actual price, and then multiplying by 100.

Explanation:

Dennis calculated the amount of the card as $4.50, but the actual price is $4.00. To find Dennis's percent error, we'll need to calculate the difference between his estimated price and the actual price, and then divide that by the actual price. Finally, we'll multiply that number by 100 to get the percent error.

Here's how we'll calculate it:

Divide the error by the actual value: $0.50 ÷ $4.00 = 0.125.

Multiply by 100 to convert to a percentage: 0.125 × 100 = 12.5%.

The percent error in Dennis's estimate is 12.5%.

The length of a rectangle is 6 inches more than it’s with the perimeter of the rectangle is 24 inches what is the width and length of the rectangle

Answers

W= width
L= W+6= length
P= 24 inches

Perimeter= 2(W + L)
substitute L= W+6 for L
24= 2(W +(W+6)
combine like terms in parentheses
24= 2(2W + 6)
multiply 2 by all in parentheses
24= (2*2W) + (2*6)
24= 4W + 12
subtract 12 from both sides
12= 4W
divide both sides by 4
3= W

W= 3 inches
L= W+6= 3+6= 9 inches

CHECK:
24= 2(3 + 9)
24= 2(12)
24= 24

ANSWER:
W= 3 inches
L= 9 inches

Hope this helps! :)

Your friend invites you to go to an indoor skateboard park. You'd like to go, but since you don't have a helmet or knee pads, you'll have to rent them. You'll also need to but a day pass to enter the park.

Write a formula that will help you determine your total cost.

Let's let:

h = helmet rental

k = knee pad rental

p = cost of day pass

c = total cost

Answers

h+k+p=c im not sure if its a correct formula,

10p = 66 what is the value of p

Answers

The value of p is 11. To find this, you must isolate the variable, p, so you divide 10 by both sides of the equation to get p=11.

Isolate the p

divide 10 from both sides

10p/10 = 66/10

p = 66/10

p = 6.6

6.6 is your answer

hope this helps

Explain the Segment of Decant Theorem for Geometry

Answers

Segments from Secant and Tangents. If a tangent and secant meet at a common point outside the circle, the segments created have a similar relationship to that of two secant rays.

HELP What is the area of this figure?

Answers

The correct answer is: [B]: "40 yd² " .
_____________________________________________________
First, find the area of the triangle:

The formula of the area of a triangle, "A":

A = (1/2) * b * h ;

in which: " A = area (in units 'squared') ; in our case, " yd² " ;

" b = base length" = 6 yd.

" h = perpendicular height" = "(4 yd + 4 yd)" = 8 yd.
___________________________________________________
→ A = (1/2) * b * h = (1/2) * (6 yd) * (8 yd) = (1/2) * (6) * (8) * (yd²) ;

= " 24 yd² " .
___________________________________________________
Now, find the area, "A", of the square:

The formula for the area, "A" of a square:

A = s² ;

in which: "A = area (in "units squared") ; in our case, " yd² " ;

"s = side length (since a 'square' has all FOUR (4) equal side lengths);

A = s² = (4 yd)² = 4² * yd² = "16 yd² "
_________________________________________________
Now, we add the areas of BOTH the triangle AND the square:
_________________________________________________
→ " 24 yd² + 16 yd² " ;

to get: " 40 yd² " ; which is: Answer choice: [B]: " 40 yd² " .
_________________________________________________

Need help with number 12 please, thanks.

Answers

The answer is B because the question states that the temperature at noon was 8 degrees below zero Celcius. 8 degrees below zero Celcius is written as -8 degrees.

•WILL GIVE BRAINLIEST!•

The chart shows the numbers of lines Ana and Daris used in poems they wrote.

Based on the data, which statement is true?

A. In Ana’s data, the median is closer to the mean than in Daris’s data.

B. In both sets of data, the mode is greater than the median

C. In both sets of data, the mode is equal to the median

D. In Daris’s data, the median is closer to the mean than in Ana’s data

Answers

B. mode is greatee than the median

Based on the data, the true statement:

In Ana’s data, the median is closer to the mean than in Daris’s data.

What is the median?

The median is the value that splits the mathematical numbers or expressions in the half. The median value is the middle number of the data point. To find the median first arrange the data points in ascending order.

Given:

The chart shows the number of lines Ana and Daris used in their poems.

In Ana's data;

the median = 30

The mean = 36 and the mode = 30

In Daris's data;

the median = 50

The mean = 39 and the mode = 10.

From the given choices;

In Ana’s data, the median is closer to the mean than in Daris’s data.

Therefore, the median is closer to the mean.

To learn more about the median;

https://brainly.com/question/28060453

#SPJ2

Last year, at the Great American Pie Festival, over 16,000 slices of pie was eaten. If each piece of pie is 1/8 of and entire pie, how many pies were eaten at the festival?

Answers

16,000 slices/8 slices per pie=2,000 pies.

Answer:

2,000 pies!

Step-by-step explanation:

Jones of Boston borrowed $40,000, 90 day, 10% note. After 60 days Jones made an initial payment of $6,000. Assuming the U.S. Rule what is adjusted balance after the first payment. Use 360 days.

Answers

check a website called math-way without the dash it might help

A trapezoid window has a height of 18 centimeters. The bases of the window are 34 and 28 centimeters long. What is the area of the window?

Answers

The answer will be 17,136 that will be area of the window Hopes this helps. :)

The area of the trapezoid window is 396cm sq.

The area of a trapezoid window can be calculated using the formula:

Area = 1/2 x (base1 + base2) x height

Plugging in the values:

base1 = 34 cm

base2 = 28 cm

height = 18 cm

Area = 1/2 x (34 + 28) x 18 = 396 cm²

Austin is using a funnel shown to fill a glass bottle with colored sand Estimate the volume of the funnel number 21 please

Answers

The volume of a frustum of a cone is given by
.. V = (1/3)*π*h*(R^2 +r^2 +R*r)
We will assume the diameter at the bottom is 1 1/2 inch. Then the slanted part has volume
.. V = (1/3)*π*4*(2.5^2 +.75^2 +2.5*.75) ≈ 36.39 . . . . in^3

The volume of the 1-inch cylinder at the bottom is
.. V = π*(1/2)^2*1 = π/4 ≈ 0.79 . . . . in^3

Then the total volume of the cone is approximately 37.18 in^3.

when writing an equation of a proportional relationship in the form y equals KX what does K represent

Answers

K represents the constant

Answer:

k = the constant of proportionality .>. sorry this already kinda answered ;w;'

A human society has 73 dogs and cats to be adopted. the number of cats is 10 more than twice the number of dogs. Write a system of linear equations that represent this situation. How many of each animal is up for adoption?

Answers

Total: 73
dogs: x
cats: 2x+10

2x+10+x=73
3x+10=73
3x=63
x=21

dogs: x
dogs: 21

cats: 2x+10
cats: 52

Check answer:
cats+dogs=73
52+21=73

There's no need for a system of linear equations if you were to solve a real life problem like this. In calculus, they don't give a rat about HOW you get your answer to an easy algebra 1 equation, as long as you used one of the correct methods and got the right answer.

Best of luck my friend. :)

A linear equation of one variable is expressed in the form of ax + b = 0, where a and b are the two integers, and x is a variable.

In the given question, the linear equation can be represented as:

2x + 10 + x = 73.

The number of dogs is 21, and the number of cats available is 52.

Given that:

Total number of dogs and cats = 73

Let the number of dogs be x.

The number of cats, as given is = 10 + 2x

Now, solving for the equation:

x + 10 + 2x = 73

Solving for the variables:

3x + 10 = 73

3x = 73 -10

3x = 63

x = [tex]\dfrac {63}{3}[/tex]

x = 21

The number of dogs available is 21.

The number of cats available is:

2x + 10

Putting the value of x:

2 (21) + 10

Thus, the number of dogs is 21, and the number of cats available is 52.

To know more about linear equations, refer to the following link:

https://brainly.com/question/11897796

please help with number #22

Answers

so you have to try and elimate everything by getting a by itself. so u move all the variables with an 'a' in it. so thats ax-aw=-z-y ( dont forget to change the signs since u r moving it to the opposite side of the equation) then get 'a' by itself so its a(x-y)= -z-y then move (x-y) to the other side but now its the denominator.
so ur answer is a= -z over -x (since the y's cancel)

Wesley walked 11 miles in 4 hours if he walked the same distance every hour , how far did he walk in one hour

Answers

You would multiply 11 by 4 because he walked 11 miles for every hour so your answer is 44

Wesley walked 2.75 miles in one hour, calculated by dividing the total distance (11 miles) by the total time (4 hours).

The question asks how far Wesley walked in one hour if he walked 11 miles in 4 hours at a consistent pace. To find this, we can calculate his average speed by dividing the total distance by the total time. This gives us an equation: Average speed = Total distance / Total time, which simplifies to: Average speed = 11 miles / 4 hours.

Performing the division, we get an average speed of 2.75 miles per hour. Therefore, Wesley walked 2.75 miles in one hour.

Jessica has the option to switch to a plan that charges $65.00 per month with unlimited text messages. Jessica typically sends about 900 text messages per month. Does it make sense for her to switch to the new plan ? explain.

Answers

No, because that would mean that she is spending about $13.85 on 1 message per month. That is ridiculous lol.

Jessica has the option to switch to a plan that charges $65.00 per month with unlimited text messages.

Jessica typically sends about 900 text messages per month.

Cost per message under the new plan = $65 / 900 = $ 0.072 per message

It make sense for her to switch to the new plan only if the cost per message in her existing plan is more than $ 0.072

Hope this helps..!!

Thank you :)

What number could be added to 0.40 mL for the level of precision to be 0.01mL

Answers

Answer:

- 0.39

Step-by-step explanation:

Level of precision = 0.01 mL

We need to find a number which could be added to 0.40 mL for the level of precision to be 0.01 mL .

Let x be a number which could be added to 0.40 mL for the level of precision to be 0.01 mL .

[tex]x+0.40=0.01[/tex]

On subtracting 0.40 from both sides , we get

[tex]x+0.40-0.40=0.01-0.40[/tex]

On solving , we get

[tex]x+0=0.01-0.40[/tex]

We know that [tex]x+0=x=0+x[/tex] where 0 is the additive inverse .

So,

[tex]x=0.01-0.40[/tex]

Here , [tex]0.01-0.40=-0.39[/tex]

Therefore ,

[tex]x=0.01-0.40=-0.39[/tex]

Therefore , -0.39 could be added to 0.40 mL for the level of precision to be 0.01mL

You and your friend are selling tickets to a charity event. You sell 4 adult tickets and 11 student tickets for $148. Your friend sells 7 adult tickets and 5 student tickets for $145. What is the cost of a student ticket?

Answers

4x + 11y = 148
7x + 5y = 145

multiply first equation by 7 and second by -4:-

28x + 77y = 1036
-28x - 20y = -580 Adding:-

0 + 57y = 456

y = 456 / 57 = 8

Cost of a student ticket = $8 Answer

What is the best approximation for the area of this circle?

Use 3.14 to approximate pi.

Answers

Area = pi r^2
r = 4m
pi = 3.14

Area = 3.14 * 4*4
Area = 50.24 which means that the answer is
50.2; third one down. <<<<=====

Answer:

The answer is C

50.4m²

Step-by-step explanation:

To find the area of the circle the formular is

Formular for area of circle = πr²

π = 3.14

r = 4m

Therefore

Area = 3.14 * 4²

= 3.14 * 16

= 50.24m²

So the answer is C

50.4m²

Justin weighs 15 pounds less than Greg weighs. Half of Greg’s weight is 75 pounds less than Justin’s weight. How much does each of them weigh? Greg weighs 200 pounds, and Justin weighs 185 pounds. Greg weighs 190 pounds, and Justin weighs 175 pounds. Greg weighs 180 pounds, and Justin weighs 165 pounds. Greg weighs 170 pounds, and Justin weighs 155 pounds.

Answers

Greg weighs 180 and justin weighs 165

Answer:

greg weighs 180 justin weighs 165

Step-by-step explanation:

Christopher Christopher just found beautiful yarn for 20% off at his favorite yarn store. He can make one scarf from 2/3 of a ball of yarn. If Christopher buys 12 balls of yarn, how many scarves can he make

Answers

2/3=.6 repeating
12/.6 repeating = 18
13 balls of yarn would be used to make 18 scarves.

Hello!

Let's convert 2/3 to a decimal and then divide 12 balls of yarn by that.

To convert a fraction to a decimal, we must divide its numerator by its denominator.

2 ÷ 3 = 0.67 (6 Repeating)

Now, divide 12 yarn balls by this:

12 ÷ 0.67 (Repeating) = 17.91 (Repeating decimal)

A N S W E R:

Christopher can make 18 scarves with 12 balls of yarn.

Represent the proportional relationship described with an equation where p equals pepperoni and z equals pizza: eighteen pepperoni for each pizza A) p = 18z B) 18p = z C) p = 18 z D) z = 18 p

Answers

Answer:

The answer is A. p=18z I just took the test

Answer:

It is A I got it right on usa test prep

Step-by-step explanation:

Explain how the Quotient of Powers was used to simplify this expression. 2 to the fifth power, over 8 = 22 By finding the quotient of the bases to be one fourth, and cancelling common factors By finding the quotient of the bases to be one fourth, and simplifying the expression By simplifying 8 to 23 to make both powers base two, and subtracting the exponents By simplifying 8 to 23 to make both powers base two, and adding the exponents

Answers

Answer:

we can do it by simplifying 8 to [tex]2^3[/tex] to make both powers base two, and subtracting the exponents.

Step-by-step explanation:

We have been given the expression [tex]\frac{2^5}{8}=2^2[/tex]

8 can be rewritten as [tex]2^3[/tex]

Hence, the given expression becomes

[tex]\frac{2^5}{2^3}=2^2[/tex]

After subtracting the exponents on left hand side of the equation we get:

[tex]2^2=2^2[/tex]

we can do it by simplifying 8 to [tex]2^3[/tex] to make both powers base two, and subtracting the exponents.

Answer:

Step-by-step explanation:

We have been given the expression 2^5/8=2^2

8 can be rewritten as 2^3

Hence, the given expression becomes

2^5/2^3=2^2

After subtracting the exponents on left hand side of the equation we get:

2^2=2^2

we can do it by simplifying 8 to 2^3 to make both powers base two, and subtracting the exponents.

Write the first terms of the sequence. Rule:start at 1/2,add1/3

Answers

Here are the first 3 terms of the sequence: 5/6, 1 1/6, 1 1/2

1/2+1/3=5/6
5/6+1/3=1 1/6
1 1/6+1/3=1 1/2

The sum of three consecutive even numbers is 48. What are the smallest of these numbers?

Answers

the smallest no. is 14
let start with
(x)+(x+2)+(x+4)=48
3x+6=48
3x=42
x=14

I hope this helped you :)

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