READ THE END! PLEASE HELP! OK, will mark best straight answer with brainiest (with explanation) URGENT! Justin's sand castle is 180 cm tall but the wind is blowing away sand at a rate of 8 cm per minute. Taylor's sand castle is 160 cm tall and she is adding sand to it at a rate of 6 cm per minute. After how many minutes will their sand castles be at an equal height? [ Also, if its 17.5 please explain what happened to 180 & 160!!! ]

Answers

Answer 1

Answer:

Both castles will have the same height at 3.33 minutes

Step-by-step explanation:

This problem will be solved with linear modeling, that is, expressing both people's sand castle's height as a function of time.

Justin built a sandcastle 180 cm tall, and its height is losing at 8 cm/min by the effect of wind. Thus, the height of Justin's sandcastle is:

[tex]H_J=180-8t[/tex]

Where t is the time expressed in minutes.

Taylor's sandcastle is initially 160 cm tall. The wind blows away sand at 8 cm/min but she adds sand at 6 cm/min, thus the real loss of sand is 8 cm/min - 6 cm/min= 2 cm/min. Thus, the height of Taylor's sandcastle is:

[tex]H_T=160-2t[/tex]

To find when both castles have the same height, we set:

[tex]180-8t=160-2t[/tex]

Simplifying:

6t=20

Solving:

t=20/6=3.33\ minutes

Both castles will have the same height at 3.33 minutes


Related Questions

Triangle A has side lengths 3,4 and 6. Triangle B had side lengths 6,8 and 12 triangle A and B are?

Answers

Answer:

Similar

Step-by-step explanation:

Both triangles have corresponding sides, so they are similar.

The two triangles A and B are similar to each other.

What is the similarity?

If two objects are having the same shape then they will be termed as similar. So in mathematics, if two figures have the same shapes, lines or angles then they are called similar.

Given that triangle, A has side lengths 3,4, and 6. Triangle B had side lengths 6,8 and 12.

The second triangle is dilated by factor 2. This means in triangle B the sides are two times the side of triangle A.

Therefore, the two triangles A and B are similar to each other.

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How many Significant Figures are in the number: 10.000?

Answers

Answer:

in 10.000, there are 5 significant figures.

hope this helps

In the last ten games, Jamal made 7
9
of his free throws and Brian made 5
8
of his free throws. Which player has the better record? Explain.​

Answers

Answer:

Jamal has the the better record

Answer:

This is the sample response from Edge

Step-by-step explanation:

Jamal has the better record because his record is 0.7 and Brian’s record is 0.625. Jamal made more free throws.

what is the value of the power a if 5^a=1/125

Answers

See attachment for math work and answer.

write an equation of the parabola in intercept form that passes through (14,4) with x intercepts of 12 and -6​

Answers

Answer:

i need the answer to pleasee... asnwer this question

Evaluate 3{5 + 3[10 + 4.8]}​

Answers

Answer:

393

Step-by-step explanation:

Which of the following is equivalent to 6-3?

A
-1/216
B
216
C
-216
D
1/216

Answers

Answer: Im not sure if this is correct I just need points. B

Step-by-step explanation:

Option D is correct,  1/216 is the equivalent expression of 6⁻³ .

The given expression is 6⁻³.

Six to the power of minus three.

We have to find the equivalent expression.

Equivalent expression are expressions whose value is same but looks different.

6⁻³ can be written as 1/6³.

1/6×6×6

1/216.

Hence, 1/216 is the equivalent expression of 6⁻³ .

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Rachel found the following rate of change for the
scenario represented in this table.
What can you conclude from her work?
Check all that apply.

The scenario is represented by a linear function,
since the rate of change is constant.
The scenario is represented by a nonlinear function,
since the rate of change is constant.
The berries are picked at a constant rate of 53 per
hour.
The berries are not picked at a constant rate.

Answers

Answer:

A and C

Step-by-step explanation:

All the correct conclusion from her work are,

1) The scenario is represented by a linear function, since the rate of change is constant.

2) The berries are picked at a constant rate of 53 per hour.

What is linear expression?

A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power.

We have to given that;

Rachel found the following rate of change for the scenario represented in this table.

Now, By the given table,

Rate of change to picked berries = (181 - 128) / (5 - 4)

                                                   = 53 / 1

                                                   = 3

Which is similar in all given values.

Hence, We can conclude that;

The scenario is represented by a linear function, since the rate of change is constant.

And, The berries are picked at a constant rate of 53 per hour.

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11x - 8 = 4x - 3

solve for x​

Answers

Answer:

7×=5 ×=5/7

Step-by-step explanation:

if 3n-4=8 then what is the value of 5n-3 ​

Answers

Answer:

17

Step-by-step explanation:

Given

3n - 4 = 8 ( add 4 to both sides )

3n = 12 ( divide both sides by 3 )

n = 4

Thus

5n - 3 = 5(4) - 3 = 20 - 3 = 17

what is 12 to the 16 power/ 12 to the 4 power ill give brainliest

Answers

Answer:

12^16= 184884258895036400

12^4= 20736

A local city collects
7% sales tax. If the
total purchase was
$321.00, then how
much was collected for
sales tax?

Answers

321x.07 (7%) = 22.47
$22.47 tax was collected, add that to 321 to find the total. :)

IF YOU KNKW WHAT THE ANSWER IS PLEASE HELP ME

Answers

Answer:

exponential

Step-by-step explanation:

This function can be expressed as 125*3^x, where x is the number of hours passed.

Since linear equations are expressed as mx+b, quadratics are expressed as ax^2+bx+c, and exponential functions are expressed as ab^x, only the exponential function would be a valid answer.

Study the equations: f(x) = 6x + 7 g(x) = 4x – 2 What is h(x) = f(x)g(x)? h(x) = 24x2 – 14 h(x) = 24x2 + 40x + 14 h(x) = 24x2 + 16x – 14 h(x) = 24x2 + 12x – 14

Answers

Answer:

The value of h(x) = f(x)g(x) is 24x² + 16x – 14.

Step-by-step explanation:

Answer:

C. h(x) = 24x2 + 16x – 14

Step-by-step explanation:

Just answered it on Edge Unit Test. It is correct.

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Answers

Answer:

c

Step-by-step explanation:

Answer:

There would be 500 pages.

Solve the equation using the Properties of Equality.

1/2y +1/3 = 2/3

y= ?

Answers

The answer would be that Y equals 12

Please answerrr!!! (don’t answer if you don’t know it) will give brainliest

Answers

Answer: W= 131 and H =98
i don’t know it. ( pls pls pls don’t report me it was a joke )

w=131
h=98

A fish was swimming LaTeX: 2\frac{1}{2}2 1 2 feet below the water's surface at 1:00 p.M. Three hours later, the fish was at a depth that is LaTeX: 3\frac{1}{4}3 1 4feet below where it was at 1: 00 p.M. What rational number represents the position of the fish with respect to the water's surface at 4:00 p.M.?

Answers

Answer:

[tex]\frac{23}{4}[/tex] feet

Step-by-step explanation:

The depth of the fish to the surface of water at 1:00 pm = 2 [tex]\frac{1}{2}[/tex] feet

                                                                             =   [tex]\frac{5}{2}[/tex] feet

The depth of the fish to its initial position at 4:00 pm = 3 [tex]\frac{1}{4}[/tex] feet

                                                                              = [tex]\frac{13}{4}[/tex] feet

The position of the fish with respect to the water's surface at 4:00 pm = the depth of the fish to the surface of water at 1:00 pm + the depth of the fish to its initial position at 4:00 pm

                                        =  [tex]\frac{5}{2}[/tex] + [tex]\frac{13}{4}[/tex]

                                        = [tex]\frac{10 + 13}{4}[/tex]

                                         = [tex]\frac{23}{4}[/tex]

The position of the fish with respect to the water's surface at 4:00 pm is [tex]\frac{23}{4}[/tex] feet.

True or false: geometry is an axiomatic system where the accepted principles are undefined terms 0 and 1.

A. The statement is false. Algebra is an axiomatic system where the accepted principles are undefined terms 0 and 1.

B. The statement is true.

C. The statement is false. Geometry is an axiomatic system where the accepted principles are the undefined terms point, line and plane.

D. The statement is false. Geometry is an axiomatic system where the accepted principles are the undefined terms circle, triangle, and square

Answers

Answer:

C. The statement is false. Geometry is an axiomatic system where the accepted principles are the undefined terms point, line and plane.

Step-by-step explanation:

The 4 basic characteristics of axiomatic systems are:

Undefined terms (or primitive terms) Axioms (or postulates) Theorems Laws of logic

The undefined terms or primitive terms of geometry are points, lines and planes that at some point meet or join together. This is called incidence, since geometry studies their relationship. E.g. 3 lines that form a triangle on a plane.

Graph the linear equation
5x - y = 30 by following these steps:
Step 1: Find the x-intercept. Let y = 0 and solve for x.
=

Answers

Answer:

Step-by-step explanation:

5x-(0)=30

add 0 to both sides to cancel

5x=30

divide by 5 on both sides to cancel

x=6

NEED HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

$2.75 because if you was to divide 22 by 8 you would get 2.75 , then to check your answer you would multiply 2.75 by each number by it and check the graph.

Step-by-step explanation:

The restaurant bill for Annette is $55.82.

She adds an 18% tip for the waiter.

What is the total cost of Annette's meal rounded to the nearest cent?

pls answer seriously, I'm failing this class its so hard for me :(

Answers

first we have to find 18% of $55.82, which we can do by using the equation 55.82 x 0.18

55.82 x 0.18 = 10.05

so the tip = $10.05

now we just add it to the original bill
55.82 + 10.05 = 65.87

so the total cost = $65.87

find the distance for AB for A (3,5) and B(6,1)
Help!!

Answers

Answer:

5 is the answer to the question

5 is the answer I took my sister’s help

Mr. Leto plans to save money to buy a carpet. If he saves $50 each week for 30 weeks, he will have saved the exact amount of money needed to buy the carpet. If Mr. Leto instead saves $75 each week, how many weeks will it take him to save the same amount of money?

Answers

Answer:

Number of new weeks = 20 week

Step-by-step explanation:

Total money saves = $50 x 30

Total money saves = $1,500

Find:

Number of new week

Computation:

Total money saves = Number of money save per week x Number of new weeks

1,500 = 75 x Number of new weeks

Number of new weeks = 20 week

If the area is 26.8 sq ft, what is the value of x?​

Answers

Answer:

area of rectangle =length multiplyed by breath

4x multiplied by x=26.8

4x²=26.8

x²=26.8 divided by 4

x²=6.7

x=2.59

Please help asap!! Pretty simple if you understand I guess lol

Answers

Answer:

Step-by-step explanation:

the answer is 52

Answer:

angle z = 52

Step-by-step explanation:

solve for t

t+58=2t-12

t+70=2t

70=t

plug in the value of t in t+58

(70)+58

=128

note that angle y and z make supplementary angles, so

180-128

=52

Paid the rent for the month,$650

Answers

Answer:

whats the question here

Step-by-step explanation:650 rent

Can somebody explain and give examples on questions like

What is divisible by this number ?

Answers

Answer:

more than one digits.

Step-by-step explanation:

There are some simple divisibility rules to check this: A number is divisible by 2 if its last digit is 2, 4, 6, 8 or 0 (the number is then called even) A number is divisible by 3 if its sum of digits is divisible by 3. A number is divisible by 4 if the number consisting of its last two digits is divisible by 4

Find y into the nearest hundredth place

Answers

Answer:

12.43ft

Step-by-step explanation:

 From the given diagram, we simply apply the sin rule

According to the sine rule

=

   y is the side y

    y° = (90 - 43) = 47

    z = 17

    z° = 90

Input the parameters and solve;

            [tex]\frac{y}{sin 47} = \frac{17}{sin 90}[/tex]

       ysin 90 = 17 sin 47

         y = 12.43ft

Which angle is complementary to <3? help asap​

Answers

Answer:

In a right angled triangle

Step-by-step explanation:

The two non-right angles are complementary, because in a triangle the three angles add to 180°, and 90° has already been taken by the right angle. When two angles add to 90°, we say they "Complement" each other. because the right angle is thought of as being a complete angle.

Sorry if this is wrong this is all I could do

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