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3 years ago

48 mi :56 mi as a ratio

Mathematics

1 answer:

qaws [65]3 years ago

7 0

Answer:

85.714...

Step-by-step explanation:

Convert into a fraction, then divide fraction (ratio) 48 / 56 Answer: 85.714285714286%

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Pulease helpp

Bas_tet [7]

Answer:

Step-by-step explanation:

using formula

area of triangle=1/2 × AB×AC×sinA

WHERE AB=10 andAC=15 and sinA=37○

7 0

3 years ago

Read 2 more answers

A solution initially contains 200 bacteria. 1. Assuming the number y increases at a rate proportional to the number present, wri

GuDViN [60]

Answer:

1. $\frac{dy}{dt}=ky$

2.543.6

Step-by-step explanation:

We are given that

y(0)=200

Let y be the number of bacteria at any time

$\frac{dy}{dt}$ =Number of bacteria per unit time

$\frac{dy}{dt}\proportional y$

$\frac{dy}{dt}=ky$

Where k=Proportionality constant

2. $\frac{dy}{y}=kdt$ ,y'(0)=100

Integrating on both sides then, we get

$lny=kt+C$

We have y(0)=200

Substitute the values then , we get

$ln 200=k(0)+C$

$C=ln 200$

Substitute the value of C then we get

$ln y=kt+ln 200$

$ln y-ln200=kt$

$ln\frac{y}{200}=kt$

$\frac{y}{200}=e^{kt}$

$y=200e^{kt}$

Differentiate w.r.t

$y'=200ke^{kt}$

Substitute the given condition then, we get

$100=200ke^{0}=200 \;because \;e^0=1$

$k=\frac{100}{200}=\frac{1}{2}$

$y=200e^{\frac{t}{2}}$

Substitute t=2

Then, we get $y=200e^{\frac{2}{2}}=200e$

$y=200(2.718)=543.6=543.6$

e=2.718

Hence, the number of bacteria after 2 hours=543.6

4 0

3 years ago

(please help quickly) Find the least common multiple of the following numbers.

IrinaK [193]

Answer:

1a. 156

1b. 147

2a. 45

2b. 84

3a. 160

3b. 108

4a. 210

4b.132

7 0

2 years ago

Lin has a scale model of a modern train. The model is created at a scale of 1 to 48. The height of the model train is 102 millil

alekssr [168]

Answer: The actual height of train = 4.896 meters.

Step-by-step explanation:

Since we have given that

Lina has a scale model of a modern train

Model is created at a scale is given by

1:48

Height of the model train = 102 millimeters

We need to find the actual height of the train.

Since there is direct variation between model and actual height of the train.

According to question,

$\frac{1}{48}=\frac{102}{x}\\\\x=102\times 48\\\\x=4896\ millimeters\\\\x=4.896\ m$

Hence, the actual height of train = 4.896 meters.

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2 years ago

A stand at a farmers market sells different types of apples as shown in the table. which type of apple cost the least per pound?

viktelen [127]

Answer:

Where is the table?

Step-by-step explanation:

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2 years ago