A scuba diving resort hotel offers divers two plans. Plan A gives 3 nights’ lodging and 4 dives. Plan B gives 5 nights’ lodging and 8 dives. How much does it cost for each night and each dive?

Answer:

25

Step-by-step explanation:

Making 'b' the subject of formula gives b = a² - 6

It is important to note that the subject of formula is described as a variable that is made up to stand alone in an equation.

The subject of formula is the variable that is worked out on on side of the equation sign.

From the information given, we have the equation;

a = [tex]\sqrt{(b + 6)}[/tex]

To make 'b' the subject of formula, we take the following steps;

Find the square of both sides, we get;

a² = [tex](\sqrt{(b + 6)} ^2[/tex]

Cancel out the square, we get;

b + 6 = a²

collect the other terms on one end of the equation, we have;

b = a² - 6

Hence, the equation is b = a² - 6

Learn more about subject of formula here:

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Answer:

13m

Step-by-step explanation:

Answer:

answer: 361.88

Hope that helps!

Answer:

84.5m would be the area

Step-by-step explanation:

7m, 10m = 35m

9.9m, 10m= 49.5m

35m + 49.5m+ 84.5m

Answer:

7234.56 km³

Step-by-step explanation:

Volume = 4/3(πr³)

Volume = 4/3(3.14 * 1728)

Volume = 4/3(5425.92)

Volume = 7234.56

Units = km³

7234.56 km³

If my answer is incorrect, pls correct me!

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-Chetan K

Answer:

3 x 3^6

Step-by-step explanation:

I hope this helps >3.

Which expression is not equal to the expression shown?

3³ ÷ 3⁻⁴

Let's first solve all the equations and then check which equation is not equal to equation given in question.

⇒ 3³ ÷ 3⁻⁴ = 3³⁻⁽⁻⁴⁾

⇒ 3³⁺⁴ = 3⁷ = 2,187

⇒ 3⁻³ ÷ 3⁴ = 3⁻³⁻⁴

⇒ 3⁻⁷ = 0.000457

⇒ 3 × 3⁶ = 3⁷

⇒ 3⁷ = 2,187

⇒ 3⁷ ÷ 3⁰ = 3⁷ ÷ 1

⇒ 3⁷ ÷ 1 = 2,187

⇒ 3³ × 3⁴ = 3³⁺⁴

⇒ 3⁷ = 2,187

From the calculation of above equations, We have found that only Equation 2 ( option 1 ) 3⁻³ ÷ 3⁴ is not equal to Equation 1 ( question ) 3³ ÷ 3⁻⁴

Therefore, 3⁻³ ÷ 3⁴ ≠ 3³ ÷ 3⁻⁴

Hence, Option 1 is the correct answer.

Answer:

r = 8.5 inches

Step-by-step explanation:

The circumference of a circle is given by

C = 2 * pi *r

17 pi = 2 * pi *r

Divide each side by 2 pi

17 pi / ( 2pi) = 2 * pi r/ ( 2 pi)

17/2 = r

8.5 = r

The answer is 8.5 inches.

Answer:

2 21 degree angles

Step-by-step explanation:

An isosoles triangle has two congruent angles and every triangle's sum of interior angles equals 180 degrees. 138*2>180, so the 138 degree angle cannot be congruent to any of the other angles. Therefore:

180=138+2x

42=2x

21 degrees=x

Answer: [tex]5^{\circ}[/tex]

Step-by-step explanation:

Given

[tex]\angle DIE=(18x-2)^{\circ}\\\angle DIH=15^{\circ}\\\angle FIG=103^{\circ}[/tex]

from the figure

[tex]\angle HIE=\angle GIF\quad [\text{vertically opposite angles}]\\\angle HID+\angle DIE=\angle GIF\\15^{\circ}+(18x)^{\circ}-2^{\circ}=103^{\circ}\\(18x)^{\circ}=103^{\circ}-13^{\circ}\\\\x=\dfrac{90^{\circ}}{18}\\\\x=5^{\circ}[/tex]

Answer:

B. AC = 22, BC = 22, AB = 44

C. AC = 30, BC = 30, AB = 60

Step-by-step explanation:

B.

[tex] radius \: \overline {OR} \perp chord \: \overline {AB} [/tex] at C. (given)

[tex] \therefore AC = BC[/tex] (perpendicular dropped from the center of the circle to the chord bisects the chord)

[tex] \therefore 2x - 6 = x + 8[/tex]

[tex] \therefore 2x - x= 6 + 8[/tex]

[tex] \therefore x= 14[/tex]

[tex] AC = 2x-6=2(14)-6=28-6= 22[/tex]

[tex] BC= x + 8=14 + 8= 22[/tex]

AB = AC + BC = 22 + 22 = 44

C.

[tex] radius \: \overline {OR} \perp chord \: \overline {AB} [/tex] at C. (given)

[tex] \therefore BC = AC[/tex] (perpendicular dropped from the center of the circle to the chord bisects the chord)

[tex] \therefore 7x-5=4x+10 [/tex]

[tex] \therefore 7x - 4x= 5 + 10[/tex]

[tex] \therefore 3x= 15[/tex]

[tex] \therefore x= \frac{15}{3}[/tex]

[tex] \therefore x= 5[/tex]

[tex] AC = 4x+10=4(5)+10=20+10= 30[/tex]

[tex] BC= 7x - 5=7(5)-5=35-5= 30[/tex]

AB = AC + BC = 30 + 30 = 60

Answer:

1,000,000

Hope this helps <3

Answer:

1.105°

2.35°

3.35,°

4.50°

Step-by-step explanation:

ito po yung answer ko sa assignment you sa Maka tulong

Answer:

(2n)*(n-1)

Step-by-step explanation:

Answer:

[tex]\huge{\textbf{\textsf{{\color{skyblue}{An}}{\blue{sw}}{\red{er}}{\color{red}{:}}}}}[/tex]

0 (zero)

Step-by-step explanation:

The 8-sided die has numbers less than 9. So, they can never be greater than 9.

Answer:

95

Step-by-step explanation:

The sum of any straight angle is 180 (Therom)

180 - (50 +35) =95

Answer:

Step-by-step explanation:

We first need to figure out how much money Jackie has since Pilar has the same amount of money, but in different coins. Jackie has 24 dimes and 13 quarters, so the amount of money is $2.40 + $3.25 = $5.65; therefore, Pilar has $5.65 also. In order to determine how many nickels and quarters Pilar has, we have to have a system of equations. It's up to us to write the equations we need to solve this. The first equation has to do with the NUMBER of coins Pilar has, the second has to do with the VALUE of each coin. We know that Pilar has only nickels and quarters and that she has a total of 53 coins. So the NUMBER equation is

n + q = 53

The VALUE equation relates how much each coin is worth to the total amount of money it equals:

.05n + .25q = 5.65.

Go back to the first equation and solve it for either n or q. I solved it for n:

n = 53 - q

Plug this into the second equation in place of n now to get:

.05(53 - q) + .25q = 5.65 and

2.65- .05q + .25q = 5.65 and

.20q = 3 so

q = 15. This means that there are 15 quarters. If there are 15 quarters, then there are

n + 15 = 53 nickels and

n = 38 nickels.

Answer:

The answer will be A k>-38

2x + 5(–4x + 10) - (x + 4).

-4+10=14

x+4=5-9

2x+5=7x

7+9=18

18-14=4

4 is your answer

Step-by-step explanation:

transformation : f(x) --> g(x) = -2x + 4

Answer:

Consecutive integers are those numbers that follow each other. They follow in a sequence or in order. For example, a set of natural numbers are consecutive integers.

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

x  minus four

Step-by-step explanation:

Answer:

0.8

Step-by-step explanation:

5 x 3 = 8 (Add the "0." at the end) That's all, hope it helped!

Answer:

The answer is 0.8. Think of it like a normal number.

Answer:

12.9x-9

Step-by-step explanation:

add 5.3x and 7.6x

Answer:

12.9x-9

Step-by-step explanation:

First you have to combine the like terms which are 5.3x + 7.6x= 12.9x. Then you just rewrite the equation 12.9x-9. You just leave the 9 by it self because there's no other like terms.

More examples -

5.3x+−9+7.6x

Combine Like Terms:

=5.3x+−9+7.6x

=(5.3x+7.6x)+(−9)

=12.9x+−

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given,

Parallel sides of the trapezium = 3in, 7in

Height of the trapezium = 5in

Therefore,

Area of the trapezium

[tex] = \frac{1}{2} \times sum \: of \: parallel \: sides \times height[/tex]

[tex] = \frac{1}{2} \times (7 + 3)in \times 5in[/tex]

[tex] = \frac{1}{2} \times 10in \times 5in[/tex]

= 5in × 5in

[tex] = {25in}^{2} [/tex]

Hence,

Area if the trapezium is 25 square inches (Ans)

[tex]S_\square = 8 * 8 = 64\\S_\triangle = \frac{ah}{2} = \frac{8*3}{2} = 4 * 3 = 12\\S = S_\square - S_\triangle = 64 - 12 = 52[/tex]

Answer: 52.

Answer:

x + y > 15

10x + 5y < 100

we will put it in terms of y

y > 15 - x

and

5y < 100 - 10x

y < 20 - 2x

-TheUnknownScientist