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3 years ago

Five cats each ate 1/5 of canned food and 1/5 cup of dry food. How much food did they eat altogether?

Mathematics

1 answer:

rewona [7]3 years ago

3 0

Answer:

Step-by-step explanation:

With regards to the above, we can sum up the foods ate together by the 5 cats, then we have;

= 1/5 + 1/5

= 2/5

Then we can multiply the value above by the 5 cats

= 2/5 × 5

= 10/5

= 2

The cats eat 2 foods together.

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Sarah is unsure how long it will take her to save $50,000. She knows that she'll make an initial investment of $5,000. About hwo

Dmitriy789 [7]

Answer:

Simple Interest: A = P(1+rt)

Step-by-step explanation:

P: the principal, the amount invested

A: the new balance

t: the time

r: the rate, (in decimal form)

Ex1: If $1000 is invested now with a simple interest of 8% per year. Find the new amount after two years.

P = $1000, t = 2 years, r = 0.08.

A = 1000(1+0.08(2)) = 1000(1.16) = 1160

8 0

3 years ago

De acuerdo con la tercera ley de movimiento planetario de Kepler, la masa de un planeta es directamente proporcional al cubo de

Sunny_sXe [5.5K]

Answer:

La masa del Sol es $2.509\times 10^{31}$ kilogramos.

Step-by-step explanation:

Tras una lectura cuidadosa al enunciado, tenemos que la Tercera Ley de Kepler queda descrita por la siguiente relación:

$M \propto \frac{r^{3}}{T^{2}}$

$M = k\cdot \frac{r^{3}}{T^{2}}$ (Eq. 1)

Donde:

$r$ - Distancia entre los centros del planeta y el satélite, medido en kilómetros.

$T$ - Período oribital del satélite, medido en días.

$k$ - Constante de proporcionalidad, medida en kilogramo-días cuadrados por kilómetro cúbico.

$M$ - Masa del planeta, medida en kilogramos.

Podemos obtener la masa del Sol mediante la siguiente relación:

$\frac{M_{S}}{M_{E}} = \frac{\frac{r_{E}^{3}}{T_{E}^{2}} }{\frac{r_{M}^{3}}{T_{M}^{2}} }$

$\frac{M_{S}}{M_{E}} = \left(\frac{T_{M}}{T_{E}} \right)^{2}\cdot \left(\frac{r_{E}}{r_{M}} \right)^{3}$ (Eq. 2)

Donde:

$T_{M}$ , $T_{E}$ - Períodos orbitales de la Luna y la Tierra, medidos en días.

$r_{E}$ , $r_{M}$ - Distancias entre la Tierra y el Sol, así como entre la Luna y la Tierra, medidas en kilómetros.

$M_{S}$ , $M_{E}$ - Masas del Sol y la Tierra, medidos en kilogramos.

Si $M_{E} = 75.97\times 10^{24}\,kg$ , $T_{E} = 365.3\,d$ , $T_{M} = 27.3\,d$ , $r_{M} = 3.84\times 10^{5}\,km$ y $r_{E} = 1.496\times 10^{8}\,km$ , entonces tenemos que la masa del Sol es:

$M_{S} = \left(\frac{T_{M}}{T_{E}} \right)^{2}\cdot \left(\frac{r_{E}}{r_{M}} \right)^{3}\cdot M_{E}$

$M_{S} = \left(\frac{27.3\,d}{365.3\,d} \right)^{2}\cdot \left(\frac{1.496\times 10^{8}\,km}{3.84\times 10^{5}\,km} \right)^{3}\cdot (75.97\times 10^{24}\,kg)$

$M_{S} = 2.509\times 10^{31}\,kg$

La masa del Sol es $2.509\times 10^{31}$ kilogramos.

7 0

3 years ago

Each marble bag sold by Rachel's Marble Company contains 3 purple marbles for every 2 green marbles. If a bag has 21 purple marb

kozerog [31]

The ratio is 3:2, purple :green
The bag has 21 purple so to get from 3 to 21 it is multiplied by 7; so we must also multiply the 2 by 7 to keep the ratio balanced.
21:14

6 0

3 years ago

Graph - 2x + 4y = 16 using<br> intercepts.

castortr0y [4]

Answer:

y intercept is -1/2

Step-by-step explanation:

3 0

3 years ago

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Gary wants to buy a bicycle that usually sells for $74.99. The store is having a sale and all merchandise is discounted by 25%.

marusya05 [52]

Answer:

Step-by-step explanation:

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3 years ago