A small island has a roughly rectangular shape. It is 18.2 kilometers wide and 28.5 kilometers long. Rising water levels are reducing the width by 1.2% each year and the length by 0.8% each year.

Use the drop-down menus to choose or create functions to model:

A. The width of the island over time, w(t)
B. The length of the island over time, l(t)
C. The area of the island over time, a(t)

Answer:

B

Just multiply by 4 to isolate x; because 4 isn't negative, u keep the sign the same.

Answer: 8x+3x=12x+9

The number is -9.

Step-by-step explanation: Combine like terms.

11x=12x+9

Subtract 12x from the other side. 11x-12x= -1x

-1x+9

Divide by -1 to isolate x.

-1/-1 cancels out.

9/-1= -9

x=-9

Plug in -9 to check your answer if you want to double check.

Answer:

18

Step-by-step explanation:

First you would have the divide 2 and 12 which is 6 then you would muplty 6 by 3 because you need to find how many fictional book which is 18

p. ls I am 99% sure this explanation is right

The number of fiction books is 18.

Ratio expresses the relationship between two values. It is the number of times that one value is contained within other value(s).

Number of books = (number of mystery books x sum of ratios) / ratio of mystery books

(12 x 5) / 2 = 30 books

number of fiction books = (ratio of fiction books / sum of ratios) x total number of books

3/5 x 30 = 18 books

To learn more about ratios, please check: https://brainly.com/question/25927869

Answer:

24 square centimeters

Step-by-step explanation:

Parallelagram Area fromula is A=bh

which is Area equals base times hieght

You just plug in the infromation in the problem and solve

A=bh

A=4x6

A=24

The solutions are:

[tex]x =3+2\sqrt{3}i\\\\\:x=3-2\sqrt{3}i[/tex]

Solution:

[tex]f(x) = x^2 - 6x + 21[/tex]

We have to find solutions when f(x) = 0

[tex]x^2 - 6x + 21 = 0[/tex]

Solve by quadratic formula

[tex]\mathrm{For\:a\:quadratic\:equation\:of\:the\:form\:}ax^2+bx+c=0\mathrm{\:the\:solutions\:are\:}\\\\x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}\\\\\mathrm{For\:}\quad a=1,\:b=-6,\:c=21\\\\x=\frac{-\left(-6\right)\pm \sqrt{\left(-6\right)^2-4\cdot \:1\cdot \:21}}{2\cdot \:1}[/tex]

[tex]x = \frac{6 \pm \sqrt{\left(-6\right)^2-4\cdot \:1\cdot \:21}}{2\cdot \:1}\\\\Simplify\\\\x = \frac{6 \pm \sqrt{36 - 84}}{2}\\\\x = \frac{6 \pm \sqrt{-48}}{2}\\\\x = \frac{6 \pm i \sqrt{48}}{2}\\\\simplify\\\\x = \frac{6 \pm 4\sqrt{3}i}{2}\\[/tex]

[tex]x = 3 \pm 2 \sqrt{3} i[/tex]

We have two solutions:

[tex]x = 3 + 2 \sqrt{3} i\\\\x = 3 - 2 \sqrt{3} i[/tex]

Thus the solutions are:

[tex]x =3+2\sqrt{3}i\\\\\:x=3-2\sqrt{3}i[/tex]

Answer:

I think it's $12.80 but I might be wrong.

Each person will have to contribute $6.40.

To find out how much money each person will have to contribute to get to the university and back, we can first find the total cost of the trip. The distance to the university and back is 2 times the distance to the university, which is 105 miles. So the total distance is 2 * 105 = 210 miles. Roberta's car can travel 8.2 miles per dollar of gasoline, so the total cost of the trip is 210 / 8.2 = 25.61 dollars. Since Roberta and three friends are splitting the cost evenly, each person will have to contribute 25.61 / 4 = 6.4025 dollars. Rounding to the nearest cent, each person will have to contribute $6.40.

Reduce the expression by cancelling the common factors.

= 32/37

In decimal;

0.864

Answer:

3 and 8/12

Step-by-step explanation:

You subtract 3 5/12 from 7 1/12 to get 3 8/12

Answer:

1 and 8/12 or 1 and 2/3

Step-by-step explanation:

    7 1/12-3 5/12

    2 1/12-   5/12

    1 8/12

Answer:

1.8

Step-by-step explanation:

12/4 - 1.2

3 - 1.2 = 1.8

option c {(0, -5), (2,9), (-3, -26)}  is correct  . All others doesn't satisfy the equation .

Step-by-step explanation:

We have , If y = 7x - 5, following set of ordered pairs {(0, -5), (2,9), (-3, -26)} . Let's check for this

(0, -5):

⇒ [tex]y = 7x-5[/tex]

⇒ [tex]y = 7(0)-5[/tex]

⇒ [tex]y =-5[/tex]

So , it's correct ordered pair .

(2,9):

⇒ [tex]y = 7x-5[/tex]

⇒ [tex]y = 7(2)-5[/tex]

⇒ [tex]y =9[/tex]

So , it's correct ordered pair .

(-3,-26):

⇒ [tex]y = 7x-5[/tex]

⇒ [tex]y = 7(-3)-5[/tex]

⇒ [tex]y =-26[/tex]

So , it's correct ordered pair .

Therefore, option c {(0, -5), (2,9), (-3, -26)}  is correct  . All others doesn't satisfy the equation .

Answer:

y = -3/4x + 5

Step-by-step explanation:

Slope intercept form is y=mx + b

First, find the slope of the line. the points are (0,5) and (4,2), as marked. To find the slope, you do (y2-y1)/(x2-x1). Fill in the numbers and you get

(2-5)/(4-0). Simplify and you get -3/4 is the slope. Then, to find b, you have to fill in one coordinate pair and the slope into y=mx+b. So, I used (0,5).

5=(-3/4)(0) + b

Then you get 5=b by solving, and you fill in the slope and the y intercept in the slope intercept form equation. y = -3/4x +5. This is how you find the answer.

Answer:

The answer is 8 months

Step-by-step explanation:

The new computer tablet is $460. She paid $100 at the time so I subtracted $100 from $460, which equals to $360. The monthly payments are $45 a month, so I divided $360 by $45, which equals 8. It takes 8 more months to finish the payment.

MARK AS BRAINLIEST

Answer:

8 payments

Step-by-step explanation:

460-100=360

45 x 8 = 360

Answer:

[tex]F(2)= \frac{1}{32} [/tex]

Step-by-step explanation:

The given function is

[tex]F(t) = 2 \cdot \: \frac{1}{{2}^{3t} } [/tex]

To find F(2), we substitute t=2 into the function.

This means that wherever we see t, we put 2

[tex]F(2) = 2 \cdot \: \frac{1}{{2}^{3 \times 2} } [/tex]

We multiply the exponent in the denominator to get:

[tex]F(2) = 2 \cdot \: \frac{1}{{2}^{6} } [/tex]

We evaluate to get:

[tex]F(2) = 2 \cdot \: \frac{1}{64} [/tex]

We now cancel the common factors to get:

[tex]F(2) = \frac{1}{32} [/tex]

go to negative to and move left once and that'll give you 2 and 1 6ths then go to 1 and move right once cause 7 over 6 is 1 and 1 over 6

Answer:

3(7) -15+8

21-15+8

6+8= 14

Answer:

3 positions to the right.

Step-by-step explanation:

1000 * 6.093

= 6093.

Answer:

Move 3 places to the right

Step-by-step explanation:

I hope I helped :)

Answer:

6.8 quarts of white paint

Step-by-step explanation:

If you make 5 parts equal to 0.5 you will have 17 parts blue paint. 17 divided by 5 (to get how many parts we are using) is 3.4. One part blue paint is 3.4 quarts. Times that by two to get how many parts of white paint. We need 6.8 quarts of white paint.

The value of x is 13°.

Solution:

In triangle, sum of all the interior angles = 180°

m∠A + m∠B + m∠C = 180°

(3x)° + (4x – 1)° + 90° = 180°

3x° + 4x° – 1° + 90° = 180°

7x° + 89° = 180°

Subtract 89° from both sides of the equation, we get

7x° = 91°

Divide by 7 from both sides of the equation, we get

x° = 13°

The value of x is 13°.

32 + 5% = 1.6

The tax is $1.60

The final bill is $33.60

Answer: the answer is $33.60

Answer:

Step-by-step explanation:

(7,6)    (-3,-1)

(x1,y1)  (x2,y2)

[tex]Distance=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}\\\\=\sqrt{(-3-7)^{2}+(-1-6)^{2}}\\\\=\sqrt{(-10)^{2}+(-7)^{2}}\\\\=\sqrt{100+49}=\sqrt{149}\\\\=12.21[/tex]

Answer:

not 100% sure

Step-by-step explanation:

40÷3=13.3 minutes

Answer:

Step-by-step explanation:

if you want the ratio 40 seconds to 3 minutes

3 minutes=60×3=180 seconds

40 seconds to 180 seconds=40/140=2/9

or 2:9

Answer:

Illegal Immigrant

Step-by-step explanation:

Spanish.

Answer:

9 and 10

Step-by-step explanation:

Consider perfect squares on either side of 92, that is

81 < 92 < 100, thus

[tex]\sqrt{81}[/tex] < [tex]\sqrt{92}[/tex] < [tex]\sqrt{100}[/tex], that is

9 < [tex]\sqrt{92}[/tex] < 10

Final answer:

To find two consecutive whole numbers that the square root of 92 lies between, we calculate the square root of 92 to determine its approximate value, which falls between 9 and 10.

Explanation:

To find two consecutive whole numbers that √92 lies between, we need to calculate √92 to determine its approximate value. Since 92 is between 81 (9²) and 100 (10²), the square root of 92 lies between 9 and 10. Therefore, the consecutive whole numbers are 9 and 10.

Answer:

No.

Step-by-step explanation:

3/4 cannot be simplified. Neither can 7/8. Also, 3/4 as a decimal is 0.75, and 7/8 as a decimal is 0.875.

Answer:

No

Step-by-step explanation:

Is 3/4 less than 7/8? Is 3/4 smaller than 7/8? These are the same questions with one answer.

To get the answer, we first convert each fraction into decimal numbers. We do this by dividing the numerator by the denominator for each fraction as illustrated below:

3/4 = 0.75

7/8 = 0.875

Then, we compare the two decimal numbers to get the answer.

0.75 is less than 0.875.

Therefore, 3/4 is less than 7/8 and the answer to the question "Is 3/4 less than 7/8?" is yes.

Answer:

see attachment

Step-by-step explanation:

We want to sketch the graph of

[tex]y = {x}^{2} + 4x + 8[/tex]

We want to use tables so we choose some few points and plot.

When x=-6,

y=(-6)²+4(-6)+8=20

When x=-4,

y=(-4)²+4(-4)+8=8

When x=0,

y=(-2)²+4(-2)+8=4

When x=0,

y=(0)²+4(0)+8=8

When x=2,

y=(2)²+4(2)+8=20

The table and graph are shown in attachment.

Mariko caught 10 rockfish and 14 bluefish on her fishing trip.

Let's define the number of rockfish caught as x and the number of bluefish caught as y.

According to the given information, the average weight of each rockfish is 2.5lbs and the average weight of each bluefish is 8lbs.

We can form two equations based on the total weight of all the fish and the total number of fish caught:

We can solve this system of equations to find the values of x and y by either substitution or elimination method. Using the elimination method:

Multiplying Equation 1 by 2.5, we get 2.5x + 2.5y = 60

Subtracting this equation from Equation 2, we get 8y - 2.5y = 137 - 60

Simplifying, we have 5.5y = 77

Dividing both sides by 5.5, we get y = 14

Substituting this value back into Equation 1, we have x + 14 = 24

Simplifying, we get x = 10

Therefore, Mariko caught 10 rockfish and 14 bluefish.

Answer:

90 calories in total

Step-by-step explanation:

We can solve this equation through the following steps:

Step One: Since we are told that a banana is 20 less calories than an orange, we can create the Let Statements:

Let x= the calories in a banana

Let x-20=the calories in an orange

Step Two: Create an equation

Since we are told "7 bananas have the same calories as 9 oranges" we translate"

7x=9(x-20) Distribute

7x=9x-180 Subtract 9x from both sides of the equation

7x-9x=-180 Simplify

-2x=180 Divide both sides by -2

x=90

∴There are 90 calories in a banana.

Answer:

59 sq ft

Step-by-step explanation:

Area of the entire shape is 13x5=65

but then you have to subtract for the missing portion

the area of that piece is 3x2=6

65-6=59

Answer:

d. 3 liters

Step-by-step explanation:

divide the amount of water by the amount of players to get the answer

27 ÷ 9 = 3

Answer:

D) 3 Liters

Step-by-step explanation:

We know that Frank has 27 liters of water, and he needs to divide it into equal amounts for 9 players. To find out how much water each of the 9 players will get, we can set up an equation like this:

(Amount of water) ÷ (Number of players) = (How much water each player gets)

Now we insert the numbers into this equation:

27 ÷ 9 = 3

So each player will get 3 liters of water

Answer:

The answer is that the team has to have 25 wins.

Step-by-step explanation:

since the ratio is 2 losses to 5 wins, if you divide 10 by 2, you get 5. Multiply 5 by 5, since it is the other side of the ration, and you'll get 25 wins.

25:10 = 5:2

Answer:25

Step-by-step explanation: