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3 years ago

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:

#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}$

To find the domain of the function:

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:

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.

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. 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