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3 years ago

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Some friends decide to go to the aquarium together. Each person pays $7.50 to get in. They spend a total of $40 for the shark ex

hibit. The total cost is $70. Solve 7.5x+40=70 to find how many people went to the aquarium.

1 answer:

murzikaleks [220]3 years ago

7 0

Answer:

4 people went to the aquarium

Step-by-step explanation:

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Hola esta es mi pregunta

fenix001 [56]

Answer:

Step-by-step explanation:

hola

Cuando dos numeros tienen el mismo signo la respuesta siempre es positiva. cuando un signo es positivo y e lotro es negativo la respuesta siempre sera negativa. Esta es la regla para multiplicar numeros con signos diferentes. el orden de los signos no importa en multiplicacon siempre va ha ser la misma respuesta.

7 0

3 years ago

Find the area of the figure. Round to the nearest tenth if necessary.

baherus [9]

Hello!

First of all, let's find the triangle. As we can see, it is eight units long and four units tall. We can use the triangle formula and half the product.

4(8)=32

32/2=16

Now we need to find the area of the semicircle. We can use circle formulas and half our final answer. We will find the area using A= $\pi$ r².

We know that the diameter of this circle is eight. Therefore our radius is 4.

A= $4\pi$ ²

A= $16\pi$

Now we multiply.

16 $\pi$ ≈50.27

Now we add our triangle.

50.27+16=66.27

The nearest answer to this is B)66.2. It may have been a bit over as we used $\pi$ , not 3.14.

I hope this helps!

3 0

3 years ago

A football team tries to move the ball forward as many yards as possible on each play, but sometimes they end up behind where th

Illusion [34]

Answer:

Given:

The distances, in yards, that a team moves on its first five plays are 2, 21, 4, 3, and 25.

Solved:

1. The greatest number is 25

2. If the moved distances are square, which one is largest?

3. The move which is greater than 4 is considered "big play"

=> 21 and 25 are big play (21 > 4, 25 > 4)

Hope this helps!

:)

3 0

3 years ago

Two boats depart from a port located at (–8, 1) in a coordinate system measured in kilometers and travel in a positive x-directi

miss Akunina [59]

Answer:

$\left\{\begin{array}{l}y=-\dfrac{1}{9}x^2 +\dfrac{2}{9}x+\dfrac{89}{9}\\ \\y=\dfrac{1}{8}x^2 -7\end{array}\right.$

Step-by-step explanation:

1st boat:

Parabola equation:

$y=ax^2 +bx+c$

The x-coordinate of the vertex:

$x_v=-\dfrac{b}{2a}\Rightarrow -\dfrac{b}{2a}=1\\ \\b=-2a$

Equation:

$y=ax^2 -2ax+c$

The y-coordinate of the vertex:

$y_v=a\cdot 1^2-2a\cdot 1+c\Rightarrow a-2a+c=10\\ \\c-a=10$

Parabola passes through the point (-8,1), so

$1=a\cdot (-8)^2-2a\cdot (-8)+c\\ \\80a+c=1$

Solve:

$c=10+a\\ \\80a+10+a=1\\ \\81a=-9\\ \\a=-\dfrac{1}{9}\\ \\b=-2a=\dfrac{2}{9}\\ \\c=10-\dfrac{1}{9}=\dfrac{89}{9}$

Parabola equation:

$y=-\dfrac{1}{9}x^2 +\dfrac{2}{9}x+\dfrac{89}{9}$

2nd boat:

Parabola equation:

$y=ax^2 +bx+c$

The x-coordinate of the vertex:

$x_v=-\dfrac{b}{2a}\Rightarrow -\dfrac{b}{2a}=0\\ \\b=0$

Equation:

$y=ax^2+c$

The y-coordinate of the vertex:

$y_v=a\cdot 0^2+c\Rightarrow c=-7$

Parabola passes through the point (-8,1), so

$1=a\cdot (-8)^2-7\\ \\64a-7=1$

Solve:

$a=-\dfrac{1}{8}\\ \\b=0\\ \\c=-7$

Parabola equation:

$y=\dfrac{1}{8}x^2 -7$

System of two equations:

$\left\{\begin{array}{l}y=-\dfrac{1}{9}x^2 +\dfrac{2}{9}x+\dfrac{89}{9}\\ \\y=\dfrac{1}{8}x^2 -7\end{array}\right.$

7 0

3 years ago

Read 2 more answers

A swimming pool is 65.25 feet long and 40.5 feet wide. How much longer is the pool than it is wide?

melamori03 [73]

65.25 - 40.50 = How much longer the pool is than wide

= 24.75 longer

It is also or about 38%.

7 0

3 years ago