29. SCUBA DIVING The sign shows the equipment rented or sold by a scuba
diving store.
a. Write two expressions to represent the total sales to rent 2 wet suits,
3 air tanks, 2 dive flags, and selling 5 underwater cameras.
b. What are the total sales?

Answer:

adult $8.00

child $5.50

Step-by-step explanation:

Let the price of 1 adult ticket = x.

Let the price of 1 child ticket = y.

2x + 4y = 38

3x + 3y = 40.5

Multiply the first equation by 3. Multiply the second equation by -2. Then add them.

         6x + 12y = 114

(+)      -6x - 6y = -81

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

                  6y = 33

y = 33/6

y = 5.5

2x + 4y = 38

2x + 4(5.5) = 38

2x + 22 = 38

2x = 16

x = 8

Answer:

adult $8.00

child $5.50

Answer:

An adult ticket is $8.00 and a child's ticket is $5.50.

Step-by-step explanation:

We form a system of 2 equations and solve them.

Let a be the price of adult ticket and c the price of a child's.

2a + 4c = 38         (A)

3a + 3c = 40.5      (B)

Multiply equation A by 3 and equation B by -2:

6a + 12c = 114

-6a - 6c = -81        Adding these 2 equations:

0 + 6c = 33

c = 33/6 = 5.5.

Now we substitute for c in equation A:

2a + 4(5.5) = 38

2a = 38 - 22

2a = 16

a = 6.

Let's now check these results by substitution in equation B:

3a + 3c = 40.5

3(8) + 3(5.5) = 24.0 + 16.5 = 40.5

- so it checks out.

Answer:

f(-3) = -9

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

Step 1: Define

We are given a graph of a quadratic function f(x).

Step 2: Evaluate

f(-3) is x = -3 for the function f(x). According to the graph, when x = -3, y = -9.

∴ f(-3) would equal -9.

The value of f(-3) from the graph of the quadratic function is -9

A polynomial is an expression that involves only the operations of addition, subtraction, multiplication of variables. Polynomials are classified based on degree as linear, quadratic, cubic etc.

A quadratic equation is a polynomial of degree 2.

The value of f(-3) can be obtained from the graph. From the graph, the value of f(-3) is -9

The value of f(-3) from the graph of the quadratic function is -9

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9/7 is equivalent to 18/14 or 27/21 or 36/28 etc

Answered by Gauthmath must click thanks and mark brainliest

Answer:

Step-by-step explanation:

Let the length of the rectangle be=l

So, breadth is b=l−14

Perimetre= 2(l+b)=2(l+l−14)=180 cm

⟹4l−28=180cm

⟹l=52cm

And, b=52−14=38cm

Hence, Area=l×b=52×38=1976cm  

2

Answer:

the answer is 5x - 3y = 30!!

Respuesta:

$ 24437,5

Explicación paso a paso:

Dado :

Valor nominal = $ 25000

Tasa, r = 9% = 0.09

Período, t = 3 meses = 3/12

Usando la relación:

Equidad en el documento = Valor nominal (1 - rt)

Equidad en el documento = $ 25000 (1 - 0.25 * 0.09)

$ 25000 (1 - 0.0225)

$ 25000 (0,9775)

= $ 24437.5

La equidad en el documento = $ 24437.5

9514 1404 393

Answer:

  3.78×10^-5

Step-by-step explanation:

To find 4 times the measurement, multiply the measurement by 4.

  4 × 9.45×10^-6 = 37.8×10^-6 = 3.78×10^-5

__

Your calculator or spreadsheet can do this for you and express the result in scientific notation.

Answer:

3/4 is equal to 6/8 2 1/8s is equal to 2/8

Answer:

X = -2

Step-by-step explanation:

4x + 2 = x3

Subtract 2 from both sides:   4x = x3 -2

Subtract x3 from both sides: 4x - 3x = -2

This leaves 1x = -2 which can also be written as x = -2

x = -2

Answer:

24 cm

Step-by-step explanation:

6*2+3*4=?

12+12

24 cm

Answer:

61% is the answer

Step-by-step explanation:

for paper 1:

[tex] \frac{75}{100} \times 60 = 45[/tex]

for paper 2:

[tex] \frac{55}{100} \times 140 = 77[/tex]

For paper 1, hisham's score is 45 out of 60

For paper 2, hisham's score is 77 out of 140

Therefore, his total score is 122 out of 200.

Therefore his total percentage score is now,

[tex] \frac{122}{200} \times 100 = 61[/tex]

61%

Answer: 6 because it more than thd base and less than the other triangles leg

Step-by-step explanation:

Answer:

[tex]4\sqrt{5}[/tex]

Step-by-step explanation:

[tex]x^2 = y^2 + 25[/tex]

[tex]\frac{y}{11} = \frac{5}{y}[/tex]  

[tex]y^2 = 55[/tex]

[tex]x^2 = 80\\x = \sqrt{80} \\x= 4\sqrt{5}[/tex]

Answer:

4

Step-by-step explanation:

-4 - (-8) Note: a negative negative equals a positive. There for it is just the same as saying -4 + 8

Answer:

x is equal to give

Hope am correct

Answer:

x = 5.

Step-by-step explanation:

x / (x + 5) = (x - 2)/(x+ 1)

x(x + 1) = (x - 2)(x + 5)

x^2 + x = x^2 + 3x - 10

x = 3x - 10

-2x = -10

x = 5.

f(n)=5^n

f(4)=?

soln...

just put the value n=4

f(4)=5^4

=625.......

Answer:

1) b) r = 7

2) e) 82

Step-by-step explanation:

Progressão aritmética:

Em uma progressão aritmética, a diferença entre termos consecutivos é sempre a mesma, chamada de razão.

O n-ésimo termo de uma PA é dado por, tomando o primeiro termo como referência:

[tex]a_n = a_1 + (n-1)r[/tex]

Tomando o m-ésimo termo como referência, tem-se que:

[tex]a_n = a_m + (n-m)r[/tex]

1) Se o 5o e o 9-o termos de uma PA são, respectivamente, 40 e 68, então a razão r da progressão é:

[tex]a_5 = 40, a_9 = 68[/tex]. Então:

[tex]a_n = a_m + (n-m)r[/tex]

[tex]68 = 40 + 4r[/tex]

[tex]4r = 28[/tex]

[tex]r = \frac{28}{4} = 7[/tex]

Então a resposta correta é dada pela alternativa b.

2) Inserindo-se 6 números entre 72 e 107, de modo que a sequência (72, a2, a3, a4, a5, a6, a7 ,107) seja uma progressão aritmética, tem-se a3 igual a:

O primeiro termo é [tex]a_1 = 72[/tex] e o oitavo termo é [tex]a_8 = 107[/tex]. Com isso, é possível encontrar a razão.

[tex]a_n = a_1 + (n-1)r[/tex]

[tex]107 = 72 + 7r[/tex]

[tex]7r = 35[/tex]

[tex]r = \frac{35}{7} = 5[/tex]

Então, o terceiro termo é:

[tex]a_3 = a_1 + 2r = 72 + 2(5) = 82[/tex]

Logo, a resposta correta é dada pela alternativa e.

Answer:

D. none of the above

Step-by-step explanation:

If g(x)=8 is the only equation, then none of the answers are correct. The correct answer would have been 8 because 8=8.

Answer:

D. (-3,-4)

Step-by-step explanation:

PLACE YOUR GRAPH TOWARDS A MIRROR.....

The new coordinate of the image after the reflection in the x-axis is [tex]P'(3, 4)[/tex].

Reflection is a type of rigid geometrical transformation that maintains the object's size and shape, unlike other transformations such as dilation, which changes the size of the shape, reflection results in congruent images.

The rule for the reflection over the x axis is "if the point (x, y) reflected in axis the it becomes (x, -y).

According to the given question.

We have a coordinates of the image of P(3, -4).

So, when the coordinates of the image is reflected in the x-axis then the x coordinate remains same but the y coordinate changes its sign from negative to positive and we get the new coordinate of the image that is [tex]P'(3, 4).[/tex]

Hence, the new coordinate of the image after the reflection in the x-axis is [tex]P'(3, 4)[/tex].

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Answer:

p/100*m

Step-by-step explanation:

Ok so first off, we know that,

percent means out of 100

therefore,

p/100 *of* (means multiplication in math) m  

So if we would replace *of* with multiplication, the problem would look like this

p/100 * m  and that would be your answer.

the reason we do not simplify it further is because it only asks for the algebraic expression, not the final result!

Cheers! I hope this helps and you can understand now.

An expression is defined as a set of numbers, variables, and mathematical operations. The given statement p% of m can be written in the form of an expression as pm/100.

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The given statement p% of m can be written in the form of an expression as shown below,

p% of m

p% × m

= (p/100) × m

= (p × m)/100

= pm/100

Hence, The given statement p% of m can be written in the form of an expression as pm/100.

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Answer:

Current selling price = Rs 20 × 120 %

= Rs 24

Cost price should be [100 ÷ 125 ] × 24

= Rs 19.20

Answer:

Step-by-step explanation:

Yes. The zeroes of a graph are the values of x where the graph touches (or crosses) the x-axis.

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

area = πr² = 200.96

r = √(200.96/π) ≅ 8

The table is 8 meters from the edge.

Answer:

A

Step-by-step explanation:

The x value of the center = 0

The y value of the center = 220/2 + 11 = 110 + 11 = 121

so the center is at (0,121)

The radius is 220/2 = 110

The equation of the Ferris Wheel is

x^2 + (y - 121)^2 = 110^2

x^2 + (y - 121)^2 = 12100

Answer: x = 16.9

Concept:

Here, we need to know the idea of basic trigonometry.

Sine = Opposite / Hypotenues = O / H

Cosine = Adjacent / Hypotenues = A / H

Tangent = Opposite / Adjacent = O / A

Solve:

Angle θ = 50°

Opposite = x

Hypotenues = 22

Given formula

Sine = Opposite / Hypotenues

Substitute the value into the formula

sin (50) = x / 22

Multiply 22 on both sides

sin (50) × 22 = x/22 × 22

x = 22 sin (50)

x = 16.9

Hope this helps!! :)

Please let me know if you have any questions

Answer:

16.85

Step-by-step explanation:

SOH CAH TOA

sin 50 = about 0.766

times by 22 then u get

16.85

Hope this helps

Answer:

Pumpkin seed has more grams of protein per ounce

216 grams of protein

Step-by-step explanation:

1 pound = 16 ounce

16 ounce of sunflower seeds = 96 grams of protein

6.5 ounce of pumpkin seeds = 58.5 grams of protein

Which type of seed has more grams of protein per ounce?

Sunflower seeds:

Protein per ounce = 96 grams / 16 ounce

= 6 grams of protein per ounce

Pumpkin seeds:

Protein per ounce = 58.5 grams / 6.5 ounce

= 9 grams of protein per ounce

Therefore,

Pumpkin seed has more grams of protein per ounce

How many more grams of protein are there in 24 ounces of the higher-protein seeds?

Quantity of protein = 24 ounces ×

9 grams of protein per ounce

= 216 grams of protein