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3 years ago

Han earns $33.00 fo babysitting 4 hours At this rate how much will he earn if he babysits for 7 hours

Mathematics

2 answers:

sertanlavr [38]3 years ago

7 0

Answer:

$57.75

Step-by-step explanation:

There is a direct proportionality relationship between the amount he earns and the time he spends babysitting.

As the number of hours increases, the time increases at a fixed rate.

If the time is t and the amount earned f

then,

f ∝ t

33 = k(4) where k is the constant of proportionality

k = 33/4

f = 33/4 (t)

The amount he will earn if he babysits for 7 hours

= (33/4) × 7

= $57.75

cupoosta [38]3 years ago

3 0

Answer:

$57.75

Step-by-step explanation:

$33.00 divided by 4 is $8.25 per hour. Then you multiply 7 time $8.25 which gives you the correct answer of $57.75.

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In the diagram below, what is the relationship between the number of triangles and the perimeter?

Eduardwww [97]

The perimeter "P" is equal to the length of the base of one triangle multiplied by the "n" number of triangles in the figure plus two times the length of another side. The equation for the perimeter is P = 5n + 14.

We are given triangles. The triangles are arranged in a certain pattern. The length of the base of each triangle is equal to 5 units. The length of the other two sides is 7 units each. We conclude that all the triangles are isosceles. We need to find the relationship between the number of triangles and the perimeter of the figure. Let the perimeter of the figure having "n" number of triangles be represented by the variable "P".

P(1) = 14 + 5(1)

P(2) = 14 + 5(2)

P(3) = 14 + 5(3)

We can see and continue the pattern. The relationship between the perimeter and the number of triangles is given below.

P(n) = 14 + 5n

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1 year ago

A triangular prism has an equilateral base with side length x inches. The height of the prism is four times as long as the side

crimeas [40]

The area of the prism is 12x² inches². Thus, the correct option is B.

<h3>What is a triangular prism?</h3>

Suppose you've got a triangle. Now, stretch it up so as to make a stack of triangles up above another. This new 3d object is called a triangular prism.

Usually, when we talk about a triangular prism, we talk about the triangular prism, whose stack goes straight up, thus, we talk about a right triangular prism.

For a prism, the lateral sides of a prism are made up of rectangles which consist of the height and the length of the base. Therefore, a triangular prism has an equilateral base with a side length x inches. The height of the prism is four times as long as the side length. The lateral area will be,

Lateral Area = 3(x×4x) = 12x² inches²

Hence, the area of the prism is 12x² inches². Thus, the correct option is B.

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2 years ago

La densidad de un líquido es de 1.5 gr/cm3 su masa es de 7 libras Determina la cantidad de litros que ocupan dichos líquidos

egoroff_w [7]

Answer:

La cantidad de litros que ocupa dicho líquido es:

2,12 Litros

Step-by-step explanation:

El volumen de un líquido puede obtenerse al tener tanto su densidad como su masa usando la siguiente fórmula:

Densidad = masa / volumen

Al despejar volumen se obtiene:

Volumen = masa / densidad

Por lo cual, si se reemplazara la fórmula quedaría:

Volumen = 7 Lb / 1.5 gr/cm^3

Sin embargo, para operar, las unidades en las que se expresa la masa deben coincidir con las unidades de la densidad, por lo cual vamos a convertir las libras en gramos teniendo en cuenta el siguiente factor de conversión:

1 libra = 453,592 gramos

Entonces:

7 lb = 453,592 gr * 7 = 3175,144 gr

Ahora este valor reemplaza la masa en la fórmula y calculamos:

Volumen del líquido = 3175,144 gr / 1.5 gr/cm^3

Volumen del líquido = 2116,762667 cm^3 (He utilizado todos los decimales para obtener el resultado exacto).

A simple vista ya se tiene el volumen del líquido en cuestión, sin embargo, el ejercicio pide que sea expresado en litros, por lo cual vamos a convertir los centímetros cúbicos en litros teniendo en cuenta el siguiente factor de conversión:

1 litro = 1000 centímetros cúbicos.

Ahora podemos aplicar una regla de tres simple, si:

1000 cm^3 = 1 L
2116,762667 cm^3 = x

Y operamos:

x = (2116,762667 cm^3 * 1 L) / 1000 cm^3
x = 2,116762667 L

O si quieres un valor aproximado:

x = 2,12 Litros.

Entonces, la cantidad de litros teniendo en cuenta la densidad y la masa brindadas es 2,12 litros.

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Assume that the mean length of a human pregnancy is 269 days. If 95% of all human pregnancies last between 249 and 289 days, w

o-na [289]

Answer:93% not sure

Step-by-step explanation:

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