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3 years ago

15

Raj wants to get a tropical fish tank. The pet store owner tells him that he needs a tank that has a total volume equal to 80 ou

nces plus 4 ounces for each fish. Which model shows two expressions for the total volume of the tank that will hold f fish?

1 answer:

Andrew [12]3 years ago

6 0

Answer:put the pictures of the tanks

Step-by-step explanation:

You might be interested in

Describe and correct the error in finding the measure of the angle

DerKrebs [107]

Sorry, it's late, and I'm a bad explainer.

The error is adding (2x-12) with x and 30. This is wrong because you are adding the angles inside the triangle and you are assuming that (2x - 12) is the unlabeled angle INSIDE the triangle, when it is the exterior angle/outside of the triangle.

A straight line is also 180°.

(2x - 12) + ? = 180

30 + x + ? = 180

If you look at the equations, and put parentheses around 30 + x, (30 + x) and (2x - 12) should be the SAME NUMBER. So you could set them equal to each other to find x. (or you could also look at the picture and see that they both need/are missing the same angle)

2x - 12 = 30 + x

x = 42

Now you plug 42 into the exterior angle equation

2(42) - 12 = 84 - 12 = 72°

5 0

3 years ago

The graph of $y = ax^2 + bx + c$ is shown below. Find $a \cdot b \cdot c$. (The distance between the grid lines is one unit.)

Savatey [412]

Answer:

$a\cdot b\cdot c=\frac{15}{4}$

Step-by-step explanation:

Vertex is the minimum or maximum point of parabola

Vertex of parabola is (h,k)

Therefore, from given graph (-3,-2) is the lowest point.

Vertex of parabola is at (-3,-2).

Standard equation of parabola

$y-k=a(x-h)^2$

Substitute the values

$y-(-2)=a(x-(-3))^2=a(x+3)^2$

$y+2=a(x+3)^2$

(-1,0) lies on the parabola.

Therefore, it satisfied the equation of parabola.

$0+2=a(-1+3)^2=4a$

$a=2/4=1/2$

Now, using the value of a

$y+2=1/2(x+3)^2=1/2(x^2+6x+9)$

$y+2=\frac{1}{2}x^2+3x+\frac{9}{2}$

$y=\frac{1}{2}x^2+3x+\frac{9}{2}-2$

$y=\frac{1}{2}x^2+3x+\frac{9-4}{2}$

$y=\frac{1}{2}x^2+3x+\frac{5}{2}$

By comparing with

$y=ax^2+bx+c$

We get

$a=\frac{1}{2}, b=3, c=5/2$

$a\cdot b\cdot c=\frac{1}{2}\times 3\times \frac{5}{2}$

$a\cdot b\cdot c=\frac{15}{4}$

7 0

2 years ago

Please simplify the expression.

IRINA_888 [86]

Answer:

1) 15a - 15c + 3

2) -7n + 31 + 13m + 7p or 13m - 7n + 7p + 31

3) 44x + 6y + 3

4) 9m - 6n + 23

Step-by-step explanation:

1. Add like terms. 6a + 9a=15a. -8c - 7c=-15c

2. Add like terms. You can rearrange them in descending order based off of exponents and variables.

3. Multiply what's in parentheses first (distribute the 6). It should end up being (6y + 42x). Then you add like terms and put in descending order.

4. Distribute the (-3) to what in the parentheses. It should end up being (-6n + 15 - 3m). Then you add like terms and put the expression in descending order.

8 0

3 years ago

Maria thinks of a number double it and add 5 answer is 21 write as an equation in X and solve it to find Maria's number

lys-0071 [83]

Answer:

The number is 8

Step-by-step explanation:

<em>2x +5 =21 </em>

2x= 21-5

2x=16

2x/2=16/2

x=8

To check

8×2=16

16+5=21

5 0

3 years ago

Read 2 more answers

Is this proportion true 12/15=47/50<br>16/36=12/27<br>15/20=24/26<br>or 4/16=2/14

jekas [21]

For <span>12/15=47/50, we multiply 12/15 by (1/3)/(1/3) to get 4/5. For 47/50, we multiply it by (1/10)/(1/10) to get the same denominator and 4/7/5. They are not equal.

For 16/36 and 12/27, we'll notice that 36 and 27 are both multiples of 9, so we need to get that as the denominator! Multiply 16/36 by (1/4)/(1/4) because 9 goes into 36 4 times and 12/27 by (1/3)/(1/3) due to that 27 goes into 9 3 times, we get 4/9=4/9 - these are equal!

I challenge you to get the rest of them on your own using my techniques!</span>

3 0

3 years ago