The depth finder on a fishing boat gives readings that are within 5% of the actual water depth. when the depth finder reading is 250 feet, the actual water depth x lies within a range given by an inequality.

Answers

Answer 1

A range refers to the least and greatest amount with respect of a certain number. In this case, the number referred to is the actual water depth, denoted as x. The general equation would be:

Depth finder reading = Actual Water Depth +/- 0.05*Actual Water Depth
250 ft = x +/- 0.05x
250 ft = x(1 +/- 0.05)
x = 250/(1 +/- 0.05)

Solving the equation:
x = 250(1 + 0.05) = 262.5 ft
x = 250(1 - 0.05) = 237.5 ft

Hence, the actual depth is between the range 262.5 ft - 237.5 ft.

Related Questions

What are all the positive integers that are in the solution set for
m < 3

Answers

1 and 2 because it’s not asking for negatives. 3<3 wouldn’t work because they are the same.

A certain recipe calls for 2/3 cup of flour. A chef is making an amount that is 3/7 of the recipe . How much should flour should the chef use?

Answers

2/7 cup of flour

Simply multiply 2/3 by 3/7 to get the answer. To multiply 2 fractions together, you multiply the numerators together and then multiply the denominator together.

2/3 x 3/7 = 6/21

But 6/21 can be expressed in a simpler fashion. Notice that both 6 and 21 can be evenly divided by 3. So divide both the numerator and denominator by 3

(6/3)/(21/3) = (2)/(7) = 2/7

Order square root of three, 2pi, and 1.5 from least to greatest

Answers

Be more specific please

1.5, square root of 3, and 2pi

if five notebooks cost $5.25, how much would three notebooks cost?

Answers

$5.25/5 notebooks= $1.05 each

$1.05*3 notebooks= $3.15 for 3 notebooks

The answer will be $3.15..

Identify the triangles that are right triangles.

Answers

Right triangles have a 90 degree corner.

triangles often have a small box in the corner and are 90 degrees

For a Circle of radius is 5 feet, find the arc length s subtended by a central angle of 42 degrees

Answers

[tex]\bf \textit{arc's length}\\\\ s=\cfrac{r\theta \pi }{180}\qquad \begin{cases} r=radius\\ \theta =angle~in\\ \qquad degrees\\ ------\\ r=5\\ \theta = 42 \end{cases}\implies s=\cfrac{5\cdot 42\cdot \pi }{180}[/tex]

The arc length subtended by a central angle of 42 degrees in a circle of radius 5 feet is 3.665 feet.

What is Circle?

A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.

The formula for arc length is given by:

s = rθ

where s is the arc length, r is the radius of the circle, and θ is the central angle subtended by the arc in radians.

To use this formula, we first need to convert the central angle from degrees to radians:

θ = (π/180) × 42 = 0.733 radians

Now we can plug in the values of r and θ into the formula to get:

s = 5 × 0.733

= 3.665 feet

Therefore, the arc length subtended by a central angle of 42 degrees in a circle of radius 5 feet is 3.665 feet.

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The graph of g(x) = (1/2)x is the graph of f(x) = 2x reflected over the y-axis. Which graph represents g(x)?

Answers

reflect across y axis means that you replace x with -x

f(-x)=2(-x)=-2x
g(x)=-2x
de graph is the one that passes through (0,0) and (1,-2) and -1,2)

Answer:

The answer is option two on the quiz. The graph is asking us to reflect the given graph over the y-axis. Therefore, the only one that matches is the second option. The graph that passes through (0,1), (-1,2), and (0,5)

805 tens in standard form

Answers

Hey! Hope that I can help.

Tony rounded each of the numbers 1,210 and 1,148 to the nearest hundred. Which choice correctly compares the rounded numbers?

Answers

1,200 is the correctly nearest . We round 1,210 to 1,200

Final answer:

The process of rounding numbers 1,210 and 1,148 to the nearest hundred results in 1,200 and 1,100, respectively. Therefore, 1,200 is greater than 1,100.

Explanation:

In Mathematics, rounding numbers is common practice for simplifying calculations. We are given the numbers 1,210 and 1,148, and we need to round them to the nearest hundred.

Let's round them:

1,210 rounded to the nearest hundred is 1,200.1,148 rounded to the nearest hundred is 1,100.

So, when comparing the rounded numbers, 1,200 is greater than 1,100.

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a plane flies 1440 miles at a speed of 240mph how long does it take

Answers

We will use the formula: Time = Distance/Speed.

We know that the distance is 1440 miles, and the speed is 240 mph.

We can put them in our formula: Time = 1440/240 = 6 hours or (6x60) = 360 minutes.

Speed =

240 =

Rearrange;

time =

time = 6 hours

HELP PLEASE,

Part a of the question was posted earlier on.

Answers

[tex]\bf \lim\limits_{x\to 6}~\cfrac{x^2+x+42}{x-6}\implies \lim\limits_{x\to 6}~\cfrac{(x+7)(x-6)}{(x-6)}\implies \lim\limits_{x\to 6}~x+7 \\\\\\ \lim\limits_{x\to 6}~(6)+7=13 \\\\\\ \textit{since the original equation holds for all, }x\ne 6,\textit{ then it approaches}\\ \textit{the same limit as }x+7[/tex]

Solve for x. 4−(2x+4)=5
A x=6
B x=−10
C x=−52

Answers

4 - (2x + 4) = 5
4 - 2x - 4 = 5
-2x = 5
x = - 5/2 <==

The solution for x in the equation 4 - (2x + 4) = 5 is x = -5/2. So, the correct choice is x = -5/2. Option c is the correct choice.

To solve for x in the equation 4 - (2x + 4) = 5, follow these steps:

1. First, simplify the equation by combining like terms. Start by removing the parentheses by distributing the negative sign:

4 - 2x - 4 = 5

2. Now, simplify further by combining the constants on the left side of the equation:

(4 - 4) - 2x = 5

0 - 2x = 5

3. Next, isolate the variable x by getting rid of the -2 coefficient. To do this, divide both sides of the equation by -2:

(0 - 2x) / -2 = 5 / -2

0 / -2 - (2x / -2) = -5/2

0 + x = -5/2

4. Finally, simplify:

x = -5/2

So, the solution for x is:

x = -5/2

So, Option c is the correct choice.

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Que. Solve for x. 4−(2x+4)=5

A x=6

B x=−10

C x=−5/2

Tyron is making 52 cookies fi a party. Some will be pecan cookies. Some will be honey ginger cookies . The ratio of pecan to honey ginger cookies will be 7:6 . Suppose you use systematic guess and check to find the number of each type of cookie

Answers

There will be 28 pecan cookies and 24 honey ginger cookies

based on the census state A has 11 fewer electoral votes for president then state b. If the total number of electoral votes for these two states is 87 find the number for each state.

Answers

a + b = 87
a = b - 11

b - 11 + b = 87
2b - 11 = 87
2b = 87 + 11
2b = 98
b = 98/2
b = 49 <===

a = b - 11
a = 49 - 11
a = 38 <===

Select from the drop-down menu to correctly identify the property shown.

−4.8 + (3.2 + (−1.6)) = (3.2 + (−1.6)) + (−4.8)

A. Associative Property
B. Commutative Property
C. Opposite of a Sum Property

Answers

The answer is Commutative Property.

Answer:

Option B is correct.

Commutative property is used here.

Explanation:

Commutative Property states that we can add any number in any order, we will get the same result i.e, a+b = b+a.

let a = -4.8 and b = (3.2+(-1.6))

then, using commutative property we have;

a+b=b+a then,

−4.8 + (3.2 + (−1.6)) = (3.2 + (−1.6)) + (−4.8).

I need help on and c plz

Answers

Wouldn't you just multiply 3/4 (the height) by 2 1/4 (the width) l x w = a if it's flat so 27/4 simplified to be 6 3/4 (hopefully i'm right)

X-3)4x^2+3x+2 what is the quotient?

Answers

Answer:

4x+15

Step-by-step explanation:

Given : Divisor = [tex]x-3[/tex]

Dividend = [tex]4x^2+3x+2[/tex]

To Find : Quotient

Solution:

[tex]Dividend = (Divisor \times Quotient) + Remainder[/tex]

[tex]4x^2+3x+2 = (x-3 \times 4x) +(15x+2)[/tex]

[tex]4x^2+3x+2 = (x-3 \times 4x+15) +(47)[/tex]

So, The quotient is 4x+15

Hence The quotient of the given expression is 4x+15

Answer: A

Step-by-step explanation:

A pair of fair dice is rolled.
a. What is the probability of rolling a sum of 9?
b. What are the odds against rolling a sum of 9?

Answers

a) 4/36, or 1/9
b) 1-1/9=8/9

Sample space={6 x 6} = 36 possible outcomes:

Favorable outcome {(3+6),(4+5),(5+4),(6+3) = 4 favorable outcome:

P(getting a sum = 9) = 4/36 = 1/9 = 0.1111

the odds AGAINST = the number of failure/number of success

the odds AGAINST = 1/9

Write a number sentence that demonstrates each property.
Commutative property of addition
Associative property of addition
Identity property of addition

Answers

they are usually represented like this

commutative property of addition
a+b=b+a

associative property of additon
(a+b)+c=a+(b+c)

identity property of addition
a+0=a

so number sentatnces

lets say a=1,b=2,c=3

commutative property of addition
1+2=2+1

associative property of addition
(1+2)+3=1+(2+3)

identity property of addition
1+0=1

Answer:

a + b = b + a

(a + b) + c = c + (b + a)

0 + a = a

I hope this helps, have an amazing day!

Steps to divide 125.00 by 7.75

Answers

_____
7.75 | 125

we want to get rid of that decimal....so we move it 2 spaces to the right....by doing that, we also have to move the decimal under the division sign by 2 spaces to the right....turning ur problem into :

16.1 R 225 <== ur answer
______
775 |12500.0
775
------- subtract
4750
4650
---------subtract
1000
775
-----------subtract
225

Y + z — 2y

If y=4 and z= 2
(Simplify)

Answers

Substitute y for 4 and z for 2
4+2-2y
Then add like terms
6-2y
That is as simplified as it gets.

Tatiana wants to give friendship bracelets to her 32 classmates. She already has 5 bracelets, and she can buy more bracelets in packages of 4.

Answers

what's the answer choices?

i dont know but good luck son

Are all whole numbers integers? Please Explain.

Answers

intergers consists of both negative and positive numbers and whole numers starts from 0,1,2,3..... so i would say YES

The price of gourmet coffee beans at the corner market has increased 10% per year over the past several years if the current cost is $40 per pound what did a pound of gourmet beans cost two years ago

Answers

$20 because 10% of 40 is 10 and the price now is 40 so 2 years before would have been 20

Answer: $32.4

Step-by-step explanation:

Given : The price of gourmet coffee beans at the corner market has increased 10% (0.1) per year over the past several years.

The current cost is $40 per pound .

The exponential decay equation is given by :-

[tex]y=A(1-r)^x[/tex], where r is the rate of decay and A is the initial amount and x is the time period.

Put A = 40 , r= 0.1 and t=2, we get

[tex]y=40(1-0.1)^2=\$32.4[/tex]

Hence, the cost of a pound of gourmet beans two years ago= $32.4

A square poster has sides measuring 2 feet less than the sides of a square sign. If the difference between their areas is 32 square feet. Find the lengths of the sides of the poster and the sign?

Answers

Area of square one = [tex](x-2)(x-2)[/tex] = [tex]x^2-4x+4[/tex]
Area of square two = [tex]x^2[/tex]

The difference of the area of two squares = 32
[tex]x^2-(x^2-4x+4)=32[/tex]
[tex]x^2-x^2+4x-4=32[/tex]
[tex]4x-4=32[/tex]
[tex]4x=32+4[/tex]
[tex]4x=36[/tex]
[tex]x=36/4[/tex]
[tex]x=9[/tex]

The side length of the poster = [tex]x-2 = 9-2 = 7 feet[/tex]
The side length of the sign = [tex]x=9[/tex]

Jeff prepares meals in the home of his customers. His fixed cost for transportation and supplies is $14.50. The labor and groceries needed for each family meal is $8.80, so the expense function is E=5.7q+8.8. T or F

Answers

The expense function is:E ( q ) = m q + b,where b stays for Fixed costs.In this case:m = 8.8 ( the labor and groceries for each family meal ) and b = 14.5So E = 8.8 q + 14.5, not E = 5.7 q + 8.8Answer: False

Answer:

The given equation is false

Step-by-step explanation:

Given equation : E= 5.7q+8.8

To show : It is true or false

Solution : Cost of transportation and supplies is fixed = $14.50

Cost of labor and groceries for each family meal =$8.80

Let x is the number of meals

so, according to the question Expense function for x number of meals is

Expense function = x(cost of labor and groceries for 1 family meal)+ cost of transportation and supplies(fixed)

E= 8.80x+14.50 which is the required equation.

Therefore, given equation is false.

The length and width of a rectangle whose length is 8 centimeters more than its width

Answers

What is the question? Please give more details.

Answer to both of these?

Answers

14a³ /a = 14a²

9b/3b = 3

hope this helps

Soon after taking an aspirin, a patient has absorbed 320 mg of the drug. After 2 hours, only 80 mg remain. Find an exponential model for the amount of aspirin in the bloodstream after t hours.

Answers

[tex]\bf \qquad \textit{Amount for Exponential Decay}\\\\ A=I(1 - r)^t\qquad \begin{cases} A=\textit{accumulated amount}\\ I=\textit{initial amount}\\ r=rate\to r\%\to \frac{r}{100}\\ t=\textit{elapsed time}\\ \end{cases}\\\\ -------------------------------\\\\ \textit{at 0 seconds, t = 0, the patient has 320mg in its blood} \\\\\\ 320=I(1-r)^0\implies 320=I\cdot 1\implies 320=I \\\\\\ A=320(1-r)^t\\\\ -------------------------------\\\\[/tex]

[tex]\bf \textit{2 hours later, t = 2, the patient has 80mg in its blood} \\\\\\ 80=320(1-r)^2\implies \cfrac{80}{320}=(1-r)^2\implies \cfrac{1}{4}=(1-r)^2 \\\\\\ \sqrt{\cfrac{1}{4}}=1-r\implies \cfrac{\sqrt{1}}{\sqrt{4}}=1-r\implies \cfrac{1}{2}=1-r\implies r=1-\cfrac{1}{2} \\\\\\ r=\cfrac{1}{2}\implies r=0.5\qquad A=320(1-0.5)^t\implies \boxed{A=320(0.5)^t}[/tex]

Two trains leave the same station at the same time, but are headed in opposite directions. One train travels at 50 miles per hour and the other train travels at 60 miles per hour. How much time passes until the trains are 660 miles apart?

Answers

Let n = the hours elapsed when the two trains are 660 miles apart.

Let the first train travel east and the second train travel west.
The distance traveled by the first train is
x = (50 mi/h)*(n h) = 50n mi

The distance traveled by the second train is
y = (60 mi/h)*(n h) = 60n h

The distance between the two trains after n hours is
x + y = 50 n + 60n = 110n mi

Because this distance is 660 miles, therefore
110n = 660
n = 6 hours

Answer: 6 hours

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