A fishbowl has a capacity of 192 fluid ounces. How many quarts is that?

[tex]y = 15x +9~~~~.....(i)\\\\y = \dfrac 12 x -20~~~ ....(ii)\\\\\\\text{Substitute equation (i) in equation (ii):}\\\\15x +9 = \dfrac 12 x -20\\\\\ \implies 9 +20 = \dfrac x2 - 15 x\\\\\implies 29 = -\dfrac{29 x}2\\\\\ \implies 1 = -\dfrac x 2\\\\\implies x= -2\\\\\text{Substitute}~ x=-2~ \text{in equation (i):}\\\\y = 15(-2) +9 = -30 +9 = -21\\\\\text{Hence}~ (x,y) = (-2,-21)[/tex]

Answer:

Step-by-step explanation:

Tod did not want the answer?

The length of the hypotenuse is 30 ft and this can be determined by using the Pythagorean theorem.

Given :

The legs of an isosceles right triangle have a length of [tex]15\sqrt{2}[/tex] ft.

The following steps can be used in order to determine the length of the hypotenuse:

Step 1 - The Pythagorean theorem can be used in order to determine the length of the hypotenuse.

Step 2 - According to the given data, the legs of an isosceles right triangle have a length of [tex]15\sqrt{2}[/tex] ft.

Step 3 - So, the length of the hypotenuse is calculated as:

[tex]H^2 = 2\times (15\sqrt{2} )^2[/tex]

Step 4 - Simplify the above expression.

[tex]H =30\;{\rm ft}[/tex]

Therefore, the correct option is D).

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Answer:

d

Step-by-step explanation:

Answer:

28

Step-by-step explanation:

Answer:

Step-by-step explanation:

The equation ...

  (x -h)² = 4p(y -k)

is the equation of a parabola with vertex (h, k) and vertex-focus distance of p. When p is negative (as here), it means the focus is below the vertex, and the parabola opens downward. The directrix is p units on the other side of the vertex from the focus.

The vertex for equation ...

  (x -4)² = -12(y +1)

is (h, k) = (4, -1). The value of p is (-12/4) = -3, so the focus is (4, -1-3) = (4, -4), and the directrix is y = -1+3 = 2.

_____

Additional comment

As a check on the graph, you can remember that any point on the parabola is equidistant from the focus and directrix. You will notice the vertex is halfway between the focus and directrix, so you know that relationship is true there.

You will also notice that a horizontal line from the focus to the parabola intersects the same distance away from the focus as from the directrix. Thus the parabola distance relation holds at that point as well.

Answer: The Third option

Step-by-step explanation:

1/36a^4b^10

Hope this is right!

The expression equivalent to the given expression is 1/36a⁴b¹⁰. Therefore, option C is the correct answer.

Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value for the variable.

The given expression is ((2a⁻³b⁴)²/(3a⁵b)⁻²)⁻¹.

Now, ((2²a⁻⁶b⁸)/(3⁻²a⁻¹⁰b⁻²))⁻¹

= (2⁻²a⁶b⁻⁸)/(3²a¹⁰b²)

= (a⁶)/(3²2²a¹⁰b²b⁸)

= 1/36a⁴b¹⁰

Therefore, option C is the correct answer.

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Answer: 120

Step-by-step explanation:

Answer:

B (1, 8 )

Step-by-step explanation:

Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

( [tex]\frac{x_{1}+x_{2} }{2}[/tex] , [tex]\frac{y_{1}+y_{2} }{2}[/tex] )

with (x₁, y₁ ) = A (- 3, 2 ) and (x₂, y₂ ) = B (x, y )

Calculate the midpoint values and equate to the corresponding coordinates of the given midpoint (- 1, 5 ) , that is

[tex]\frac{-3+x}{2}[/tex] = - 1 ( multiply both sides by 2 )

- 3 + x = - 2 ( add 3 to both sides )

x = 1

[tex]\frac{2+y}{2}[/tex] = 5 ( multiply both sides by 2 )

2 + y = 10 ( subtract 2 from both sides )

y = 8

Then point B = (1, 8 )

Answer:

135°

Step-by-step explanation:

seg AB=seg OB

tan ∠AOB = 1

∠AOB = 45°

∠AOC = 135°

We have:

[tex]x(x^{2} +2x+4) - (x^{2} +2x+4).2 =0\\<=>(x^{2} +2x+4)(x-2)=0\\<=>x^3-8=0 \\<=>x^3=8\\<=>x^3=2^3\\<=>x=2[/tex]

ok done. Thank to me :>

Answer:

1

Step-by-step explanation:

there are 31 days in October so if he loses one each day he loses 31

Answer:

y - 5

Step-by-step explanation:

Answer:

y - 5

Step-by-step explanation:

To translate statements into expressions, we have to look for key terms. In this case, one key term is "five less." Five less means to subtract 5 from a certain quantity. When it says "five less than y," we're taking five away from y. In numerical form, it can be written as: y - 5.

Therefore, the expression is y - 5.

Answer:

32.5 and 30

Step-by-step explanation:

I counted the unit squares one by one.

Hope this helped! :)

[tex] \: \: [/tex]

Answer:

b. 2.34 x 10 ^-2

Step-by-step explanation:

0.0234 written as scientific notation is 2.349 x 10-2

[tex](9+7i)(6+3i)\\\\=54+27i + 42i + 21i^2\\\\=54+69i -21~~~;[i^2 =-1]\\\\=33+69i[/tex]

Answer: First we know the Town Library has 3 times as many books as there are in the School Library. The Town Library has 2,676 books.

Divide 2,676 by 3. 2676÷3= 892

So your answer is: 892 books.

Hope I helped. :)

The number of books in the library will be 892.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that there are 3 times as many books in the town library as there are in the school library. The town library has 2,676 books.

The number of books will be calculated as,

Number = 2676 / 3

Number = 892

Hence, the number of books will be 892.

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Answer:

0.13 cm per second

Step-by-step explanation:

Lets convert the minutes to seconds:

3/4 minutes = 3/4(60) = 45 seconds

The snail traveled 5.85 cm in 45 seconds

To find out the speed per second, we set up a proportion:

[tex]\frac{5.85}{45} = \frac{x}{1}[/tex]      where 45 and 1 represent the number of seconds, and 5.85 and x represent the distance in that set of time

Let's solve for x, or the distance in 1 second:

[tex]\frac{5.85}{45}=\frac{x}{1}\\\\\\\frac{5.85*1}{45x}\\\\\\x = \frac{5.85}{45}\\\\\\\\\\x = 0.13[/tex]

The snail travels 0.13 cm per second.

-Chetan K

Answer:

35°

Step-by-step explanation:

The base angles of an isosceles triangle are congruent , then

base angles = [tex]\frac{180-110}{2}[/tex] = [tex]\frac{70}{2}[/tex] = 35°

Answer:s

Step-by-step explanation:

Answer:

x=2  y=3

Step-by-step explanation:

Answer:

10 Dimes and 5 Quarter

Step-by-step explanation:

Important info:

18 Coins worth a total of $2.25

Note:

Dimes = .10

Quarter = .25

10 Dimes = 1.00

4 Quarter = 1.00

Question to Answer:

How many each type of Coin does she have?

Solution:

Lets get rid of .25 in $2.25 :)

So that 1 Quarter..

2.00

Takes away 1.00 = 10 Dimes

Now we have 1 Quarter and 10 Dimes.

1.00 Left..

4 Quarter = 1.00

So now we have 5 Quarter and 10 Dimes..

Check Work:

5 Quarter = 1.25 and 10 Dimes = 1.00

1.25+1.00=

$2.25

Hence. Gloria has 5 Quarter and 10 Dimes.

{ Couldn't figure out 18 Coins worth a total of $2.25 the closest I could get was 15 Coins worth a total of $2.25}

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Answer:

the answer is explained below (tap on the photo to view it fully)

Solving for a

Answer:

Alyssa's Sister = 18, Alyssa = 30

Step-by-step explanation:

48 = 2x-6 + x

54 = 2x + x

54 = 3x

18 = x

2(18) - 6

36 - 6

30

48 = 2(18) - 6 + 18

48 = 36 - 6 + 18

48 = 30 + 18

48 = 48

Answer:

y-intercept=-5

Step-by-step explanation:

y=mx+b  m/slope=3/2 the point is (x,y)/(4,1)

1=3/2(4)+b

1=12/2+b

1=6+b

-6-6

-5=b

Answer:

7x+3

Step-by-step explanation:

-5x+6x+14+12x-20-6x+9

combine like terms

7x+3

Answer:

I believe it's written y = 1/2x - 1

Hope this helps :)

Applying the definition of a linear pair, m∠TOS = 52°

Recall:

Linear pair are two angles on a straight line whose sum equals 180°.

Given:

m∠TOU + m∠TOS = 180° (linear pair)

128° + m∠TOS =  180°

m∠TOS = 180° - 128°

m∠TOS = 52°

Thus, applying the definition of linear pair, m∠TOS = 52°

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