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laiz [17]
2 years ago
9

Founder's Park is planning to add a slide. The scaled model gives the reduced measures. A slide has a width of 3.5 inches and he

ight of 3 inches. The park has space for the base of the slide to be 7-feet wide. To keep the slide proportional to the model, what will the height of the slide be? The slide will have a height of feet.
Mathematics
2 answers:
MrMuchimi2 years ago
4 0

Answer:

The slide will have a height of 6  feet.

Step-by-step explanation:

i got it right

OLEGan [10]2 years ago
3 0

Answer: The slide will have a height of <u>6</u> feet.

Step-by-step explanation:

Given: A slide has a width of 3.5 inches and height of 3 inches.

For required slide , width = 7 feet]

To keep the slide proportional to the model,

\dfrac{\text{height of the required slide}}{\text{height of the slide }}=\dfrac{\text{width of required slide}}{\text{width of slide}}

\Rightarrow\ \dfrac{\text{height of the required slide}}{3}=\dfrac{7}{3.5}\\\\\Rightarrow\ \dfrac{\text{height of the required slide}}{3}=2\\\\\Rightarrow\ \text{height of the required slide}=3\times2 =6\ \text{feet}

hence, the slide will have a height of <u>6</u> feet.

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F(x)=2x and g(x)=2x+3,what is the value of f(g(-8))
jok3333 [9.3K]

Answer:

f(g(-8)) = -26

Step-by-step explanation:

Given:

f(x)=2x and g(x)=2x+3

Required:

f(g(-8))=?

Solution:

First we will find g(-8)

g(x) = 2x+3

g(-8)= 2(-8)+3

      = -16 + 3

      = -13.

so, g(-8) = -13

Now, for calculation f(g(-8)) we can put the value of g(-8) i.e, -13

so, f(x) = 2x

    f(-13)  = 2(-13)

             = -26

so, f(-13) = -26

and f(g(-8)) = -26

4 0
3 years ago
How many integers $m$ are there such that $0
Alexandra [31]

Answer:

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Step-by-step explanation:

3 0
2 years ago
a father is now 38 years older than his son. Ten years ago he was twice as old as his son. let x represent the age of the son no
Helga [31]

The present age of father is 86 years old and present age of son is 48 years old

<em><u>Solution:</u></em>

Given that, a father is now 38 years older than his son

Ten years ago he was twice as old as his son

Let "x" be the age of son now

Therefore, from given,

Father age now = 38 + age of son now

Father age now = 38 + x

<em><u>Ten years ago he was twice as old as his son</u></em>

Age of son ten years ago = age of son now - 10

Age of son ten years ago = x - 10

Age of father ten years ago = 38 + x - 10

Then we get,

Age of father ten years ago = twice the age of son ten years ago

38 + x - 10 = 2(x - 10)

28 + x = 2x - 20

2x - x = 28 + 20

x = 48

Thus son age now is 48 years old

Father age now = x + 38 = 48 + 38 = 86

Thus present age of father is 86 years old and present age of son is 48 years old

7 0
3 years ago
Please help with math
jeka94

What would you need help with?

4 0
3 years ago
Imagina que vas a un partido de béisbol con tus amigos, y tienen hambre. El costo de dos botellas de agua y 3 bolsas de palomita
Rudik [331]

Answer:

El costo de una botella de agua es de $10

El costo de una bolsa de palomitas de maíz es de $15.

Step-by-step explanation:

Los parámetros dados son;

El costo de dos botellas de agua y 3 bolsas de palomitas de maíz = $65

El costo de 4 botellas de agua y 1 bolsa de palomitas de maíz = $55

Donde x = El costo de una botella de agua ey = El costo de una bolsa de palomitas de maíz, tenemos;

2 × x + 3 × y = 65 ... (1)

4 × x + y = 55 ... (2)

Haciendo y el tema de ambas ecuaciones, tenemos;

Para la ecuación (1), tenemos;

2 · x + 3 · y = 65

3 · y = 65 - 2 · x

y = 65/3 - 2/3 · x

Para la ecuación (2), tenemos;

4 · x + y = 55

y = 55 - 4 · x

Igualando ambos valores de y para encontrar la solución común, tenemos;

65/3 - 2/3 · x = 55 - 4 · x

4 · x - 2/3 · x = 55 - 65/3

10 · x / 3 = 100/3

∴ 10 · x = 100

x = 100/10 = 10

x = 10

El costo de una botella de agua = x = $10

y = 55 - 4 · x = 55 - 4 × 10 = 55 - 40 = 15

y = 15

El costo de una bolsa de palomitas de maíz = y = $15

4 0
3 years ago
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