Select the correct answer.
Brett is planning to build two new acrylic fish tanks. He wants the rectangular prism-shaped fish tanks to have the same width and
volume.
• For one of the fish tanks, he plans to make the height of the fish tank 2 cm less than twice the width and the length 4 times the
width.
• For the other fish tank, he plans to make the length 1 cm less than twice the width and the height 6 times the width.
If y represents the volume of the fish tanks, and x is the width of the fish tanks, which system of equations could represent this
situation?

Answer:

Rational

Step-by-step explanation:

Since a and b are rational, a - b has to be rational because we are not dividing them. 2 rational numbers subtracted from each other is always a rational number.

Example: 34 (rational) 23 (rational)

34 - 23 = 11 (rational)

The point of intersection of the graph of y = (2/3)x and y = (-3/4)x is at point (0, 0).

An equation is an expression that shows the relationship between two or more numbers and variables.

The straight line passing through (0, 0) and (3, 2) have an equation of y = (2/3)x while the straight line passing through (0, 0) and (4, -3) have an equation of y = (-3/4)x

The point of intersection of the graph of y = (2/3)x and y = (-3/4)x is at point (0, 0).

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#SPJ1

Answer:

Relation (But not a function) Your welcome.

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Since this is a right triangle and we are given the two legs, we can use the Pythagorean Theorem.

The Pythagorean Theorem is:

[tex]c^2=a^2+b^2[/tex]

Where c is the hypotenuse (longest side) and a and b are the two legs.

Plug in 10 and 14 for a and b (it doesn't matter which one) and solve for c.

[tex]c^2=10^+14^2\\c^2=100+196\\c^2=296\\c=\sqrt{296}=\sqrt{4\cdot 74}=\sqrt4\cdot\sqrt{74}=2\sqrt{74}[/tex]

let the speed of Gabby be S and the speed of violet be S+18

they drove the same distance(d) so d is constant

S*5=(S+18)*3

5s=3S+54

2S=54

S=27mph

Answer:

B.22

Step-by-step explanation:

4+4+7+7=22

Answer:

Number of chickens = 8

Number of pigs = 16

Step-by-step explanation:

Let the pigs = p

Let the number of chickens = c

Number of heads = 24

p + c = 24 ----------------(I)

p= 24 - c

Number of feet = 80

Chicken has 2 legs and pig has 4 legs

4p + 2c = 80 --------------(II)

Substitute p = 24 - c in equation (II)

4*(24 - c) + 2c = 80

4*24 - 4*c + 2c = 80

96 - 4c + 2c = 80          {Combine like terms}

     96 - 2c = 80        {subtract 96 from both sides}

          -2c = 80 - 96

         -2c = -16          {Divide both sides by (-2)}

           c = -16/-2

          c = 8

Plugin c = 8 in equation (I)

p + 8 = 24

    p = 24 - 8

  p = 16

Answer:

False

Step-by-step explanation:

False - one has nothing to do with the other. None of the data points can lie on the regression line,

and you can have the coeff. of determination be 0.5.

Answer:

The total price is $9.30

Step-by-step explanation:

Price of the orders of popcorn= $5.25

Price of the drinks= $4.05

Answer:

That is correct good jiob

Step-by-step explanation:

Answer:

11341-5=11336

-122+42=-80, when you have different signs always keep in mind that you have to subtract and then get the sign of the big number.

for the third one you firstly have to work with the two negative signs,you have to multiply them, take note that when you multiply a negative by a negative you get a positive, a positive by a positive you get a positive and a negative by a positive you get a negative.

-0.35-(-0.25)

-0.35+0.25

=-0.1

I hope this helps

Answer:

511 x 3 = 1533

Step-by-step explanation:

here's another:

219 x 7

hope this helpes

Answer:

[tex]t=\frac{P-d}{15}[/tex]

Step-by-step explanation:

[tex]P=d+15t\\\\P-d=15t\\\\\frac{P-d}{15}=t[/tex]

Answer: 4

Step-by-step explanation:

We know that a plane is 2 dimensional surface that extends infinitely far.

The number of points required to define a plane = 3

Here , we have 4 points A, B, C, and D.

So, the number of possible combinations of 3 points to make a plane from 4 points = [tex]C(4,3)[/tex]

[tex]=4[/tex]            [ [tex]C(n,n-1)=n[/tex] ]

Hence, the greatest number of planes determined using any three of the points A, B, C, and D if no three points are collinear = 4.

Answer: a. OHeight = 2 x radius

Step-by-step explanation:

Answer:

trerjyhtrwgfdfeqrtgfnerwqdfgfgrqwefgn

Step-by-step explanation:

Answer:

Set two equations:

[tex]\left \{ {{x+y=50} \atop {\frac{x}{y}=\frac{7}{11} }} \right.[/tex]

Rearrange one of the equations to find the value of a variable:

[tex]x+y=50\\x=50-y[/tex]

Substitute in that value into the other equation:

[tex]\frac{50-y}{y}=\frac{7}{11}[/tex]

Cross-multiply & solve for y:

[tex]7y=11(50-y) \\7y=550-11y\\7y+11y=550\\18y=550\\y=\frac{550}{18}=\frac{275}{9}[/tex]

Substitute in the value to the original equation to find x:

[tex]\frac{x}{\frac{275}{9}}=\frac{7}{11} \\\frac{9x}{275}=\frac{7}{11} \\9(11)x=275(7)\\99x=1925\\x=\frac{1925}{99} =\frac{175}{9}[/tex]

Therefore, the answer will be:

You can check your answers by:

[tex]\frac{175}{9} +\frac{275}{9} =\frac{450}{9} =50[/tex]

[tex]\frac{\frac{175}{9} }{\frac{275}{9} } =\frac{175}{9} *\frac{9}{275} =\frac{175}{275}=\frac{7}{11}[/tex]

Answer:

x = 175/9

y = 275/9

Step-by-step explanation:

Let the larger number be 'x' and smaller number be 'y'

sum of two numbers is 50.

x +y = 50 --------(I)

      x = 50 - y   -------------(II)

The larger number is divided by the smaller number we get 7/11.

[tex]\frac{x}{y}=\frac{7}{11}\\\\[/tex]

Cross multiply,

11x = 7y

11x - 7y = 0 ------------(III)

Substitute x = 50 -y in equation (III)

11*(50-y) - 7y = 0  

11*50 - 11*y - 7y  = 0             {Distributive property}

550 - 11y - 7y = 0  

550 - 18 y = 0        {Combine like terms}

Subtract 550 from both sides

- 18y = -550

Divide both sides by (-18)

y = -550/-18

y = 275/9

substitute y = 275/9 in equation (III)

[tex]11x - 7*(\frac{275}{9})=0\\\\11x-\frac{1925}{9}=0\\\\11x =\frac{1925}{9}\\\\x=\frac{1925}{9*11}\\\\x=\frac{175}{9}[/tex]

Answer:

the answer is 10 or 6^2+8^2=100

√100=10

Answer:

(0,-3)

Step-by-step explanation:

You can plug in x and y into the equations to see if it works.

(-1,5)

2(-1)-(-5)=-2+5=3 Yes

(-1)+2(-5)=-1-10=-11 No

So (-1,5) Does NOT work.

(0,3)

2(0)-(-3)=0+3=3 Yes

(0)+2(-3)=0-6=-6 Yes

So (0,-3) DOES work.

Answer:

C

A

Step-by-step explanation:

adjacent means neighboring, right next to it. that would be 1 and 4.

supplementary means being a complementary, an additional angle, so that in sum both angles together have 180 degrees. and that is only 1.

so, C is the answer.

angle 7 = 115 degrees.

so, angle 8 is supplementary to angle 7.

they are being mirrored on the other side of the line.

so, angle 6 = angle 7, and angle 5 = angle 8.

and the same quadruple of angles have to appear, where the crossing line crosses another, parallel line. they have to be the same angles there again.

so, angle 3 = angle 7, angle 4 = angle 8, angle 1 = angle 5, angle 2 = angle 6.

and because angle 6 is also = angle 7, we have angle 2 = angle 7 = 115 degrees.

Answer:

C and A

Step-by-step explanation:

∠ 5 and ∠ 1 are adjacent ( next to each other) on the same line

The angles on a straight line sum to 180° ( supplementary )

Then ∠ 1 is adjacent and supplementary to ∠ 5 → C

----------------------------------------------------------------------------

∠ 2 and ∠ 7 are alternate exterior angles and are congruent , then

∠ 2 = ∠ 7 = 115° → A

The temperature change after 6 hours is 6.8°F

Initial temperature = 5.6°F

Initial temperature = 5.6°FFinal temperature after 6 hours = -1.2°F

The temperature change can be calculated as the difference in the value of final and initial temperature.

Temperature change = (final temperature - initial temperature)

Temperature change = (5.6 - (-1.2))°F

Temperature change = (5.6 + 1.2)°F = 6.8°F

Hence, temperature change after 6 hours is 6.8°F

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Answer:

6.8

Step-by-step explanation:

k12

Answer:

481.92

Step-by-step explanation:

First find the increase

466.98 * 3.2%

466.98 * .032

14.94336

Add this to the original amount

466.98+14.94336

481.92336

Round to 2 decimal places

481.92

Answer:

(b) the data provide strong evidence that SAT scores are related to learning strategy in the following way: The mean SAT score for students who pay for coaching is higher than mean SAT score for students who study themselves, which in turn is higher than those students who do not study for test.

(c) The data provide strong evidence that the three mean SAT scores (representing the three learning strategies) are not all equal.

Step-by-step explanation:

Relative effectiveness is to study the extent to which an intervention of a thing does more good than harming it when two or more alternative interventions are observed. In the given question the SAT mean score for students who are paying higher for coaching than those student who believe in self study.

Answer:

-7α + 28 = 7

-7α + 28 - 28 = 7 - 28

-7α = -21

α = -21/-7

α = 3

Answer:

17

Step-by-step explanation:

b(1) = 16

b(2) = b(2-1) +1

      = b(1) +1

     = 16+1

    = 17

Answer:

C.   p = 3/q

Step-by-step explanation:

An inverse proportion has the form:

y = k/x

Your problem uses p and q, so you need the form

p = k/q

Answer: C.   p = 3/q

Answer:

universal set is the right answer

Answer:

320 sq in

Step-by-step explanation:

4(1/2*8*16) + (8*8)

= 4(64) + (64)

= 5(64)

= 320