Rhea sells Fish-stick Sandwiches for $8 and Fish-stick Burritos for $9. One day, Maya bought 12 of items and paid $103.
* 20 points *

The length of a diagonal of the square is 21cm.

A square can have two diagonals. Each of the diagonal can be formed by joining the diagonally opposite vertices of a square.

A square has a side length of 15 cm.

The following is closest to the length of a diagonal of the square is;

[tex]\rm d^2 =15^+15^2\\\\d^2=225+225\\\\d^2=450\\\\d=21[/tex]

Hence, the length of a diagonal of the square is 21cm.

Learn more about diagonal here

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Answer:

Step-by-step explanation:

Answer:

[tex] \boxed{ \tt{s = 5x + 6y}}[/tex]

Step-by-step explanation:

[tex]let \: the \: perimeter \: be \to p \\ let \: the \: side \: be \to s \\ since \to \: p = 4s \\ then \to \: 4s = 20x + 24y \\ hence \to \: 4s = 4(5x + 6y) \\ therefore \to \: s = 5x + 6y[/tex]

Answer:

all are correct except the third one. the formula for that one should be v = a³ since it's a cube

Step-by-step explanation:

Answer:

y+4=-2(x+1)

Step-by-step explanation:

y-y1=m(x-x1)

y-(-4)=-2(x-(-1))

y+4=-2(x+1)

Okay so multiple 17 times 8 and 16 times 33 and then add the answers together and you should get 664!

Step-by-step explanation:

here's your solution

=> Firstly divide above picture in two parts

=> 1st = traingle

=> 2nd = trapezium

=> area of traingle = 1/2*base*height

=> height = 8

=> we need to find out base by using Pythagoras formula

=> base^2 = 17^2 - 8^2

=> base^2 = 289 - 64 = 225

=> base = √225

=> base of traingle = 15

=> now, area of traingle = 1/2*15*8

=>60sq.units

=> area of trapezium = 1/2(sum of p. sides ) *

distance between them

=> area = 1/2*(33 + 15)*16

=> area = 1/2*16*48

=> area = 384sq.units

=> area of whole figure = 384 + 60

= 444 sq.units

Answer:

False

Step-by-step explanation:

Based on what is stated in the question :

Expressing the worded equation Mathematically,

(5x - 7) / 2 = y

If y = 28

(5x - 7) / 2 = 28

Cross multiply

5x - 7 = 28 * 2

5x - 7 = 56

5x = 56 + 7

5x = 63

x = 63 / 5

x = 12.6

Hence, x ≠ 9

Answer:

The answer would be C. Inference

7 x 3 = 21 so it is 21 ft cm your welcome

Answer:

The answer is C = 63π

Step-by-step explanation:

V = πr2 h

V = π (3)2 x 7

V = π (9) (7)

V = 63 π

Answer:

12 green bags

Step-by-step explanation:

Given data

The given ratio of green bags to white bags is

=2 to 5

=2:5

Number of white bags=30

Applying the part to part method, let the number of green bags be x

so

2/5=x/30

cross multiply

30*2=5x

60=5x

divide both sides by 5

x= 60/5

x=12

Hence there are 12 green bags

Answer:

71 feet below the water.

Step-by-step explanation:

x=the divers position relative to the surface

when x=0, the diver is at the surface.

when x=-24, the diver is 24 feet below the surface, therefore -24-47=-71.

Answer:

a) The location of the center of the ellipse is [tex](4,-6)[/tex]. It is determine by knowing the location of foci and Midpoint formula.

b) The standard equation of the ellipse is [tex]\frac{(x-4)^{2}}{31}+\frac{(y+6)^{2}}{81} = 1[/tex].

c) Major semiaxis ([tex]a[/tex]): [tex]a = 9[/tex], Minor semiaxis ([tex]b[/tex]): [tex]b = \sqrt{31}[/tex]

Step-by-step explanation:

a) Foci are located in the major axis of the ellipse, given the locations of ends of the major axis and locations of the foci. We can determine the location of the center of the ellipse by Midpoint formula:

[tex](h,k) = \frac{1}{2}\cdot F_{1}(x,y) + \frac{1}{2}\cdot F_{2} (x,y)[/tex] (1)

Where [tex]F_{1} (x,y)[/tex] and [tex]F_{2} (x,y)[/tex] are the locations of the foci.

If we know that [tex]F_{1}(x,y) = (4, -6-5\sqrt{2})[/tex] and [tex]F_{2} (x,y) = (4,-6+5\sqrt{2})[/tex], then the location of the center of the ellipse is:

[tex](h,k) = (4, -6)[/tex]

The location of the center of the ellipse is [tex](4,-6)[/tex]. It is determine by knowing the location of foci and Midpoint formula.

b) Now we need to determine the length of each semiaxis:

Major semiaxis ([tex]a[/tex])

[tex]a = \sqrt{[V_{2}(x,y)-(h,k)]\,\bullet\,[V_{2}(x,y)-(h,k)]}[/tex] (2)

[tex]V_{2}(x,y)-(h,k) = (4,3)-(4,-6)[/tex]

[tex]V_{2}(x,y) - (h,k) = (0, 9)[/tex]

[tex]a = 9[/tex]

Please notice that [tex]V_{2}(x,y)[/tex] is one of the vertices of the ellipse in the major axis.

Distance between focus and center ([tex]c[/tex])

[tex]c = \sqrt{[F_{2}(x,y)-(h,k)]\,\bullet\,[F_{2}(x,y)-(h,k)]}[/tex]

[tex]F_{2}(x,y) -(h,k) = (4-4,-6+5\sqrt{2}+6)[/tex]

[tex]F_{2}(x,y) - (h,k) = (0, 5\sqrt{2})[/tex]

[tex]c = 5\sqrt{2}[/tex]

Minor semiaxis ([tex]b[/tex])

[tex]c^{2} = a^{2}-b^{2}[/tex] (3)

[tex]b = \sqrt{a^{2}-c^{2}}[/tex]

If we know that [tex]a = 9[/tex] and [tex]c = 5\sqrt{2}[/tex], then the length of the minor semiaxis is:

[tex]b = \sqrt{31}[/tex]

In this case, the standard equation of the ellipse is defined by this formula:

[tex]\frac{(x-h)^{2}}{b^{2}}+\frac{(y-k)^{2}}{a^{2}} = 1[/tex]

If we know that [tex]a = 9[/tex], [tex]b = \sqrt{31}[/tex] and [tex](h,k) = (4, -6)[/tex], then the standard equation of the ellipse is:

[tex]\frac{(x-4)^{2}}{31}+\frac{(y+6)^{2}}{81} = 1[/tex]

The standard equation of the ellipse is [tex]\frac{(x-4)^{2}}{31}+\frac{(y+6)^{2}}{81} = 1[/tex].

c) The lengths of the axes are, respectively:

Major semiaxis ([tex]a[/tex]): [tex]a = 9[/tex]

Minor semiaxis ([tex]b[/tex]): [tex]b = \sqrt{31}[/tex]

Answer:

a) The location of the center of the ellipse is . It is determine by knowing the location of foci and Midpoint formula.

b) The standard equation of the ellipse is .

c) Major semiaxis (): , Minor semiaxis ():

Step-by-step explanation:

Answer:

y = 0 feet

Step-by-step explanation:

Given equation:

y = 25x

Where,

y = height (feet)

x = time (seconds)

25 = constant

Find the height of the elevator when the time is 0 seconds

y = 25x

y = 25(0)

y = 0 feet

Answer:

345,512

Step-by-step explanation:

one liter is a thousand ml, so u just have to multiply

Answer: The answer should be 39 yard line

Step-by-step explanation: If you start at the 50 and remove 11 yards you will have 39 yards left

Answer:

Part A is no because after subtracting it is 6/10 and 6/10 is not equal to 1/2

Step-by-step explanation:

First you make the fraction's denominator equal

2/5 = 4/10

Camen's water bottle is 1 8/10

Jorge's water bottle is 2 4/10

1/2 = 5/10

Make the fractions into a improper fraction

Camen's is 18/10

Jorge's is 24/10

subtract it

24 - 18 = 6

So Part A is no because after subtracting it is 6/10 and 6/10 is not equal to 1/2

Answer:

The motion of a rotating beacon.

Step-by-step explanation:

Answer:

86

Step-by-step explanation:

2 + 2 = 4

4 cubed is 64

150 - 64 = 86

Have a great day <3

Answer:

86

Step-by-step explanation:

[tex]150 - (2 + x)^{3}[/tex]

x = 2

[tex]150 - (2 + 2)^{3}[/tex]

BEDMAS

(brackets)

⇒ [tex]150 - (2 + 2)^{3}[/tex]

⇒ 150 - [tex]4^{3}[/tex]

(exponents)

⇒ 150 - [tex]4^{3}[/tex]

⇒ 150 - 64

(subtraction)

⇒ 150 - 64

⇒ 86

Answer:

The answers is x=3

Step-by-step explanation:

Divide both sides by the numeric factor on the left side then solve.

Hope this helps.

May i please have a brainless Thank you.

Answer:

205.2/56 = 3.66428571

rounded answer 3.7 hours

Answer:

rational

Step-by-step explanation:

if it does not terminate nor become periotic it is irrational other wise it is rational

Answer:

-9

Step-by-step explanation:

I have made it in above picture

hope it helps

Answer:

x =  -9

Step-by-step explanation:

Answer:

Step-by-step explanation:

arc KL = 60°

arc LNK = 360° - 60°

arc NJK = 180°

angle JQN = 60°

arc JN = 60°

arc JM = 60°+55° = 115°

arc MN = 55°

arc MKN = 360° - 55° = 305°

arc JML = 180°

angle MQL = 180° - 55° - 60° = 65°

arc ML = 65°

arc LN = 55° + 65° = 120°

Answer:

x^2+3x-18

Step-by-step explanation: hoped I helped

Answer: [tex]x^{2} +3x-18[/tex]

Step-by-step explanation:

First, let's take our given (x+6)(x-3)

Now distribute

[tex]x^{2} -3x+6x-18\\combine\\x^{2} +3x-18[/tex]

Answer:

When travelling downstream, the speed of the boat and the current add up.

Let the speed of the boat is b and the speed of the current is c.

Use distance formula:

a)

Then we have equation:

b)

If c = 2, then the equation is: