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Ugo [173]
3 years ago
15

Please help me with this problem! I know three of the answers just need the last one!

Mathematics
2 answers:
aleksley [76]3 years ago
8 0

Answer:

Ship travels 100 miles in 4 hrs

Step-by-step explanation:

distance = 120 - 25x

in 4 hrs, distance = 120 - 25*4 = 20

distance traveled in 4 hrs = 120 - 20 = 100 miles


Jobisdone [24]3 years ago
4 0

Answer:

There can be a number of correct answers. One of them is the ship has traveled 25 miles in 1 hour.

Step-by-step explanation:

The distance from destination f after x hours for the ship is given by f(x)=120-25x

At the beginning, x=0, f(x)=f(0)=120

After 1 hour, f(x)=f(1)=120-25=95

So in 1 hour, the ship has traveled 120-95=25 miles.


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Christian reads 14 book every 23 week.
mihalych1998 [28]

Picture 1: The amount of tax for Veena's meal is $1.02

Picture 2: Christian reads \frac{3}{8} books per week.

Picture 3: 80% is equal to \frac{4}{5}.

Step-by-step explanation:

Picture 1: Veena ate lunch at a deli. She ordered turkey sandwich for $9.25 and a salad for $4.35. The tax was 7.5%. What is the amount of tax for Veena's meal.

Given,

Price of turkey sandwich = $9.25

Price of salad = $4.35

Total amount = 9.25+4.35 = $13.60

Tax = 7.5%

Amount of tax = 7.5% of total cost

Amount of tax = \frac{7.5}{100}*13.60

Amount of tax = \frac{102}{100} = \$1.02

The amount of tax for Veena's meal is $1.02

Picture 2: Christian reads 1/4 book every 2/3 week.  How many books does Christian read per week?

Given,

Books read every 2/3 weeks = 1/4 books

\frac{2}{3}\ weeks=\frac{1}{4}\ books\\

For determining the number of books read per week, we will multiply both sides by \frac{3}{2}

\frac{3}{2}*\frac{2}{3}\ week=\frac{1}{4}*\frac{3}{2}\ books\\\\1\ week = \frac{3}{8}\ books\\\\

Christian reads \frac{3}{8} books per week.

Picture 3: What percent is equivalent to \frac{4}{5}?

We will multiply the given fraction with hundred for calculating the percentage.

\frac{4}{5}*100\\\\\frac{400}{5}\\\\80\%

Therefore,

80% is equal to \frac{4}{5}.

Keywords: percentage, division

Learn more about percentages at:

  • brainly.com/question/10699220
  • brainly.com/question/10703930

#LearnwithBrainly

3 0
3 years ago
A = 1 4 π d 2 what is the formula to calculate the diameter of a circle
Anestetic [448]

Answer:

D=2\sqrt{\frac{A}{\pi}}

Step-by-step explanation:

we know that

The area of the circle is equal to

A=\frac{1}{4}\pi D^{2}

where

D is the diameter of the circle

Solve for D

That means-----> Isolate the variable D

Multiply both sides by 4 to remove the fraction

4A=\pi D^{2}

Divide both sides by π

\frac{4A}{\pi}=D^2

square root both sides

\sqrt{\frac{4A}{\pi}}=D

Rewrite

D=\sqrt{\frac{4A}{\pi}}

Simplify

D=2\sqrt{\frac{A}{\pi}}

3 0
3 years ago
Which of the following correctly describes the domain of the function shown
labwork [276]

Option D:

\{x: x \neq 1\} is the domain of the function.

Solution:

Given function is

$r(x)=\frac{2 x}{x-1}

<u>To find the domain of the function:</u>

Option A: \{x: x \neq 0\}

Substitute x = 0 in r(x).

$r(0)=\frac{2 \times 0}{0-1}=0

If x = 0, then r(0) = 0

So that x ≠ 0 is false.

So, \{x: x \neq 0\} is not the domain of the function.

Option B: \{x: x \neq \pm 1\}

Substitute x = –1 in r(x).

$r(-1)=\frac{2 \times (-1)}{-1-1}=1

If x = –1, then r(–1) = 1

So that x = ± 1 is false.

So, \{x: x \neq \pm 1\} is not the domain of the function.

Option C: $\{x: \text { all real numbers }\}$

Substitute x = 1 in r(x).

$r(1)=\frac{2 \times 1}{1-1}=\frac{2}{0}

It is indeterminate.

So, all real numbers are not the domain of the function.

Option D: \{x: x \neq 1\}

Substitute x = 1 in r(x).

$r(1)=\frac{2 \times 1}{1-1}=\frac{2}{0}

It is indeterminate.

So, \{x: x \neq 1\} is the domain of the function.

4 0
3 years ago
A circle is growing so that the radius is increasing at the rate of 3 cm/min. How fast is the area of the circle changing at the
Naya [18.7K]

Answer:

The area is growing at a rate of \frac{dA}{dt} =226.2 \,\frac{cm^2}{min}

Step-by-step explanation:

<em>Notice that this problem requires the use of implicit differentiation in related rates (some some calculus concepts to be understood), and not all middle school students cover such.</em>

We identify that the info given on the increasing rate of the circle's radius is 3 \frac{cm}{min} and we identify such as the following differential rate:

\frac{dr}{dt} = 3\,\frac{cm}{min}

Our unknown is the rate at which the area (A) of the circle is growing under these circumstances,that is, we need to find  \frac{dA}{dt}.

So we look into a formula for the area (A) of a circle in terms of its radius (r), so as to have a way of connecting both quantities (A and r):

A=\pi\,r^2

We now apply the derivative operator with respect to time (\frac{d}{dt}) to this equation, and use chain rule as we find the quadratic form of the radius:

\frac{d}{dt} [A=\pi\,r^2]\\\frac{dA}{dt} =\pi\,*2*r*\frac{dr}{dt}

Now we replace the known values of the rate at which the radius is growing ( \frac{dr}{dt} = 3\,\frac{cm}{min}), and also the value of the radius (r = 12 cm) at which we need to find he specific rate of change for the area :

\frac{dA}{dt} =\pi\,*2*r*\frac{dr}{dt}\\\frac{dA}{dt} =\pi\,*2*(12\,cm)*(3\,\frac{cm}{min}) \\\frac{dA}{dt} =226.19467 \,\frac{cm^2}{min}\\

which we can round to one decimal place as:

\frac{dA}{dt} =226.2 \,\frac{cm^2}{min}

4 0
3 years ago
Find cos(B) in the triangle.<br> Choose 1 answer: 8/17
gavmur [86]

Answer:

8 / 17

Step-by-step explanation:

So cosine is adjacent ÷ hypotenuse.

Adjacent = 8

Hypotenuse = 17

8 / 17

7 0
3 years ago
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