What is the volume of the portion of the aquarium with water in it?


101 cm³

14000 cm³

32,200 cm³

46,200 cm³

whenever you have say a multiplication of a binomial or any polynomial, you can simply multiply each term of one by the other's terms, namely

(a+b)*(c+d+e)  => a(c+d+e) + b(c+d+e), and then add like-terms.

[tex]\bf \stackrel{length}{(6x+1)}\stackrel{width}{(3x+1)}\implies 6x(3x+1)+1(3x+1)\implies (18x^2+6x)~~+~~(3x+1) \\\\\\ 18x^2+6x+3x+1\implies \stackrel{\textit{adding like-terms}}{18x^2+9x+1}[/tex]

Answer:

The values of y is -4 and 6

Step-by-step explanation:

Solve by factoring y^2 -2y=24

We need to factorize the term y^2 -2y=24.

Rearranging:

y^2 - 2y -24 =0

For factorizing we need to break the middle term such that their sum is equal to -2y and product is equal to -24y^2

We know, -6y*+4y = 24y^2 and -6y + 4y = -2y

y^2 -6y +4y -24 =0

y(y-6) +4(y-6) = 0

(y+4)(y-6)=0

Now, y+4 =0 and y-6 =0

Finding value of y,

y = -4 and y =6

So, the values of y is -4 and 6

Let y equal to

the total fare and x is the mile of taxi ride. So the equation is

Y = 0.55x + 1.75

Since Susie has

$10 to spend for a taxi cab, so he can have

10 = 0.55x +

1.75

X = 15 miles of

taxi ride

So the system of

inequality is

10 < 0.55x +

1.75

X > 2

Answer:

Step-by-step explanation:

We have the parabolas:

(1) y = x² + 2 and (2) y = x² - 6

The common shaded region is below parabola (1) and above parabola (2).

Therefore y < x² + 2 and y > x² - 6

Answer:

its wrong it is a.

Step-by-step explanation:

Answer:

$12.54

Step-by-step explanation:

First, you have to apply the sale to the original price. In this case, you would have to multiply 22 and 43% to get $9.46. Now, you have to subtract 9.46 from 22 to get 12.54.

Answer:

NO

Step-by-step explanation:

No, it's not a function

One input has more than one output.

Answer:

Step-by-step explanation:

A function is a relation for which each value from the set the first components of the ordered pairs is associated with exactly one value from the set of second components of the ordered pair.

From the graph for values of -4 < x < 4 we have two values.

Examples:

for x = 0 we have two values -4 and 4

Converting to vertex form is actually pretty simple so I think you might find something to help you out here. :)

https://mathbitsnotebook.com/Algebra1/Quadratics/QDVertexForm.html

Answer:

y = 6

Step-by-step explanation:

⇒ 17 y + 2 = 5 y + 74

→ ( - 5 y from both sides )

⇒ 12 y + 2 = 74

→ ( -2 from both sides )

⇒ 12 y = 72

( ÷ by 12 on both sides )

⇒ y = 6

Answer:

y = 6

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    17*y+2-(5*y+74)=0

   Pull out like factors :

  12y - 72  =   12 • (y - 6)

Solve :    12   =  0

Add  6  to both sides of the equation :

                     y = 6

Add 4 to both sides

-104 + 4 = -2(1 + 7x)

Simplify -104 + 4 to -100

-100 = -2(1 + 7x)

Divide both sides by -2

-100/-2 = 1 + 7x

Two negatives make a positive

100/2 = 1 + 7x

Simplify 100/2 to 50

50 = 1 + 7x

Subtract 1 from both sides

50 - 1 = 7x

Simplify 50 - 1 to 49

49 = 7x

Divide both sides by 7

49/7 = x

Simplify 49/7 to 7

Switch sides

Answer: x = 7

Step-by-step explanation:

let the price be x before increased.

After it is increased then it becomes 1.03x

i.e. 1.03x= 720

x=699.03 which is the price after it is increased.

The question is an illustration of percentage increase, and the price before the increase is £699

The given parameters are:

Initial = x

Rate = 3%

New price = £720

The equation of the initial price is:

x * (1 + rate) = New price

So, we have:

x * (1 + 3%) = 720

Evaluate the sum

x * 1.03 = 720

Divide both sides by 1.03

x = 699

Hence, the price before the increase is £699

Read more about percentage increase at:

https://brainly.com/question/2085058

#SPJ2

For the first one: 8.35, 8.357, 8.36, 8.361

For the second one: 12.013, 12.130, 12.301, 12.310

From least to greatest

ANSWER

A.

[tex]\frac{ {x}^{2} - 36}{ {x}^{2} - 9 } [/tex]

EXPLANATION

The rational expression is

[tex] \frac{x + 6}{x + 3} \times \frac{x - 6}{x - 3} [/tex]

Multiply the numerators and the denominators to get:

[tex] \frac{(x + 6)(x - 6)}{(x + 3)(x - 3)} [/tex]

Recall that:

[tex](a + b)(a - b) = {a}^{2} - {b}^{2} [/tex]

We apply this difference of two squares property to get:

[tex] \frac{ {x}^{2} - {6}^{2} }{ {x}^{2} - {3}^{2} } [/tex]

[tex] \frac{ {x}^{2} - 36}{ {x}^{2} - 9 } [/tex]

Answer: Option A

Step-by-step explanation:

You need to multiply the numerator of the first fraction by the numerator of the second fraction and multiply the denominator of the first fraction by de denominator of the second fraction:

[tex]\frac{x+6}{x+3}*\frac{x-6}{x-3}[/tex]

[tex]=\frac{(x+6)(x-6)}{(x+3)(x-3)}[/tex]

By definition we know that:

[tex](a-b)(a+b)=a^2-b^2[/tex]

Therefore, you get:

[tex]=\frac{x^2-6^2}{x^2-3^2}[/tex]

[tex]=\frac{x^2-36}{x^2-9}}[/tex]

Answer: Anything greater than 4. (5, 6, 7, etc.) Which can be represented as x>4

Step-by-step explanation: Solve this as an equation. Draw a line through the inequality line. Add 4 to the 0, so it's now x>4. The x must be greater than 4.

Answer:

kg m2 / s2 is the formula

good luck!

Answer:

kg m2 / s2 is the formula

Step-by-step explanation:

Answer:

A. They are all congruent

Step-by-step explanation:

I can't seem to remember the name right now, but since X is the incenter and all of the segments are perpendicular, they are a certain kind of line segment whose name I can't remember where they are all congruent.

Answer:

A

Step-by-step explanation:

Answer:

A dozen chocolate cookies cost $6

and a dozen oatmeal cookies cost $7

Step-by-step explanation:

Let's assume that cost of 1 dozen chocolate cookies = x

Let's assume that cost of 1 dozen oatmeal cookies = y

then we get equations:

9x+8y=110...(i),

and 9x+5y=89...(ii)

Solve equation (i) for x

9x+8y=110

9x=110-8y

[tex]x=\frac{110-8y}{9}[/tex]...(iii)

plug (iii) into (ii)

9x+5y=89

[tex]9\left(\frac{110-8y}{9}\right)+5y=89[/tex]

[tex]110-8y+5y=89[/tex]

[tex]9\left(\frac{110-8y}{9}\right)+5y=89[/tex]

[tex]110-3y=89[/tex]

[tex]-3y=89-110[/tex]

[tex]-3y=-21[/tex]

[tex]y=7[/tex]

plug y=7 into (iii)

[tex]x=\frac{110-8y}{9}=\frac{110-8(7)}{9}=6[/tex]

So the final answer is given by:

A dozen chocolate cookies cost $6

and a dozen oatmeal cookies cost $7

Answer:

Step-by-step explanation:

Take out a common factor of 2

2(r^2 - 2r - 8) Now factor.

2(r - 4)(r + 2)  

Answer: r=4,-2

2r^2-4r-16=0

2(r^2-2r-8)=0

2(r-4)(r+2)=0

r=4,-2

If the probability of even is 1/4 that is a quarter. A quarter of 120 is 120/4= 30 times

Answer:

See the procedure

Step-by-step explanation:

we know that

To find the population density per m² of each of the above species, divide the amount of each species by the total area

so

Ferns

[tex]\frac{30}{15}=2\frac{ferns}{m^{2}}[/tex]

Grass plants

[tex]\frac{150}{15}=10\frac{grass\ plants}{m^{2}}[/tex]

Oaks Trees

[tex]\frac{6}{15}=0.4\frac{oaks\ trees}{m^{2}}[/tex]

Answer:

y= 4x -2

y= x + 4

Step-by-step explanation:

To find equation for Data set A  and B , pick any two points from the table

(-1,-6)  and (1,2)

To find equation use y=mx+b

where m is the slope and b is the y intercept

[tex]m= \frac{y_2-y_1}{x_2-x_1} = \frac{2+6}{1+1} = 4[/tex]

Use point slope formula, use (1,2)

y-y1=m(x-x1)

y - 2= 4(x-1)

y-2= 4x-4 (add 2 on both sides)

y= 4x -2

(-2,2) and (0,4)

To find equation use y=mx+b

where m is the slope and b is the y intercept

[tex]m= \frac{y_2-y_1}{x_2-x_1} = \frac{4-2}{0+2} = 1[/tex]

Use point slope formula, use (0,4)

y-y1=m(x-x1)

y - 4= 1(x-0)

y - 4=x (add 4 on both sides)

y= x + 4

Answer:

x = 8√5

Step-by-step explanation:

The large triangle is divided into two smaller ones.  The right one has one leg of length 8, one leg of length x/2, and hypotenuse of length √80.

Appling the Pythagorean Theorem, we can find x:

8² + (x/2)² = (√80)²,

or:                              x^2

64 + x^2/4 = 80, or  ------- = 80

                                    4

Then x^2 = 320 = 64*5.  Taking the square root of both sides, we get:

x = 8√5

Since we are given with the three sides of the triangle and asked to determine the angle, we can use the cosine law.

                              b² = a² + c² - 2ac(cosB)

Substituting the known values,

                         (1.8)² = (2.4)² + (1.6)² - 2(2.4)(1.6)(cosB)

The value of B from the equation is 48.6°.

Answer:

B = 60.6 degree

Step-by-step explanation:

Side AB, c = 1.2 miles

Side BC, a = 1.8 miles

Side CA, b = 1.6 miles

Use Cosine rule to find the angle B.

[tex]Cos B = \frac{a^{2}+c^{2}-b^{2}}{2ac}[/tex]

Putting the values of a, b and c

[tex]Cos B = \frac{1.8^{2}+1.2^{2}-1.6^{2}}{2\times 1.8\times 1.2}[/tex]

[tex]Cos B = \frac{3.24+1.44-2.56}{4.32}[/tex]

[tex]Cos B = 0.491[/tex]

B = 60.6 degree

Answer:60

Step-by-step explanation:40/8 =5 so that means he can walk 5 dogs per hour and if you times 5 by 12 you get 60 as your answer.

Answer:

Ken can walk 60 dogs in 12 hours.

Step-by-step explanation:

The rule of three or is a way of solving problems of proportionality between three known values and an unknown value, establishing a relationship of proportionality between all of them. That is, what is intended with it is to find the fourth term of a proportion knowing the other three. Remember that proportionality is a constant relationship or ratio between different magnitudes.

If the relationship between the magnitudes is direct, that is, when one magnitude increases, so does the other, the direct rule of three must be applied. To solve a direct rule of three, the following formula must be followed:

a ⇒ b

c ⇒ x

So, [tex]x=\frac{c*b}{a}[/tex]

In this case it is direct magnitudes, so that the three direct rule can be applied as follows: if Ken can walk 40 dogs in 8 hours, how many Ken dogs can he walk in 12 hours?

[tex]number of dogs=\frac{12 hours*40 dogs}{8 hours}[/tex]

number of dogs= 60

So, Ken can walk 60 dogs in 12 hours.

when solving a system of equations the difference between that and elimination is the when you're using the Elimination u have to first multiply the numbers but when substituting it's different unlike the Elimination this is all ik and can u mark me brainliest?

Answer:

x = 40 units.

Step-by-step explanation:

Corresponding sides of the 2 prisms are in the same ratio , so:

x / 20 =  10 / 5

x/ 20 = 2

x = 2 * 20

x = 40 units.

ANSWER

The correct choice is A.

EXPLANATION

If the the two prisms are similar, then their corresponding sides are in the same proportion;

This implies that

[tex] \frac{x}{20} = \frac{6}{3} [/tex]

We simplify to get;

[tex] \frac{x}{20}=2[/tex]

We now multiply both sides by 20 yo obtain;

[tex] \frac{x}{20} \times 20 = 2 \times 20[/tex]

We simplify and multiply out to get:

[tex]x = 40[/tex]

Therefore the value of x is 40 units

Answer:

[tex]r=\frac{7}{3}[/tex]

Step-by-step explanation:

When given the equation

[tex]\frac{r}{72} =\frac{3}{9}[/tex]

We must multiply each side by 72 in order to isolate r.

[tex]r =\frac{3}{9}*\frac{7}{1} \\\\r=\frac{21}{9} \\\\r=\frac{7}{3}[/tex]

For this case we have to:

x: It is the variable that represents the quantity of paint bottles

y: It is the variable that represents the number of boxes of colored pencils

So, we have:

[tex]2x + 3.50y[/tex]

If you can not spend more than $ 42 then we have:

[tex]2x + 3.50y\leq42[/tex]

Then you can buy 10 boxes of colored pencils and 3 of paint bottles at a cost of $ 41

[tex]2 (3) +3.50 (10)\\6 + 35 = 41[/tex]

You can buy 5 boxes of colored pencils and 12 of paint bottles at a cost of $

[tex]2 (12) +3.50 (5)\\24 + 17.5 = 41.5[/tex]

You can buy 7 boxes of colored pencils and 8 of paint bottles at a cost of $

[tex]2 (8) +3.50 (7)\\16 + 24.5 = 40.5[/tex]

Answer:

[tex]2x + 3.50y\leq42[/tex]

Answer:

x = 6 and y =4

Step-by-step explanation:

It is given that,system of equations 3x+7y=46 and -3x-8x=-50

To find the solution

Let  3x + 7y = 46 --------(1)

-3x-8x=-50   -------(2)

eq(1) + eq(2)

3x + 7y = 46

-3x - 8x = -50

        -y = -4

y = 4

(1) ⇒  3x + 7y = 46

3x + 7*4 = 46

3x= 46 - 28

3x = 18

x = 18/3 =6

Therefore x = 6 and y = 4

Answer:

[tex]\frac{35}{2}[/tex]

Step-by-step explanation:

To solve this problem we need to write the mixed fraction as a fractional number, as follows:

[tex]3 1/3 = 3 + \frac{1}{3} = \frac{9+1}{3} = \frac{10}{3}[/tex]

[tex]5 1/4 = 5 + \frac{1}{4} = \frac{20+1}{4} = \frac{21}{4}[/tex]

Then, evaluating the expression:

[tex]\frac{10}{3}[/tex]×[tex]\frac{21}{4}[/tex] = [tex]\frac{210}{12}[/tex] =  [tex]\frac{35}{2}[/tex]

Answer:

y = (-3/7)x + 9 ( -1.5x − 3.5y = -31.5)

Step-by-step explanation:

Normally, there's a list of possible answers associated to this question, and the answer is usually in the form of  -1.5x − 3.5y = -31.5 (equivalent to  y = (-3/7)x + 9)

You forgot to provide the reference image which is essential to answer the question, but I managed to find it... and attach it to my answer.

In the given equation for AB, if we place the y term on the left and x term on the right, we see the slope of that line is 7/3 (y = (7x - 21.5)/3 ==> 7/3x).

We see on the image that the line PQ is perpendicular to AB.  That means that its slope is -3/7.

So, we have a slope  of -3/7 and we know it passes through point P (7,6), let's see if we can find the missing term.

y = (-3/7) x + b

6 = (-3/7) 7 + b

6 = -3 + b

b = 9

So the equation of the line forming the street PQ is y = (-3/7)x + 9