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2 years ago

A student was asked to add the fractions below. 33 + 1 For their first step the student wrote the problem as 9/24 + 10/24

Mathematics

1 answer:

Tomtit [17]2 years ago

7 0

Answer:

see below

Step-by-step explanation:

a)The least common multiple of 8 and 12 is 24

3*8 =24

2*12 = 24

3/8 * 3/3 =9/24

5/12 * 2/2 = 10/24

9/24 + 10/24 =19/24

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The fish population of Lake Collins is decreasing at a rate of 5% per year. In 2004 there were about 1,350 fish. Write an expone

ad-work [718]

Answer:

Part 1) The exponential function is equal to $y=1,350(0.95)^{x}$

Part 2) The population in 2010 was $992\ fish$

Step-by-step explanation:

Part 1) Write an exponential decay function that models this situation

we know that

In this problem we have a exponential function of the form

$y=a(b)^{x}$

where

y ----> the fish population of Lake Collins since 2004

x ----> the time in years

a is the initial value

b is the base

we have

$a=1,350\ fish$

$b=(100\%-5\%)=95\%=0.95$

substitute

$y=1,350(0.95)^{x}$ ----> exponential function that represent this scenario

Part 2) Find the population in 2010

we have

$y=1,350(0.95)^{x}$

For $x=(2010-2004)=6\ years$

substitute

$y=1,350(0.95)^{6}=992\ fish$

7 0

2 years ago

Need help asap please

Anarel [89]

Answer:

according to my observation it should be a option

4 0

3 years ago

Tamika had $35. She just went to the store to buy some snacks and now has $20.50. How much did she spend on snacks?

Komok [63]

The answer is she spent $14.50

7 0

3 years ago

Two trains leave the station at the same time, one heading east and the other west. The eastbound train travels at 70 mph. The w

Iteru [2.4K]

Answer:

1.2 hours

Step-by-step explanation:

Recall :

Distance = speed * time

Let the time taken = x

Creating an equation for the question :

Distance of train A + Distance of train B = 192

70 * x + 90 * x = 192

70x + 90x = 192

160x = 192

x = 192 / 160

x = 1.2

It takes 1.2 hours to be 192 miles apart.

4 0

2 years ago

100 POINTS!! OMG YOU NEED TO SOLVE THIS!

natita [175]

Answer:

The correct answer is: $\Delta BDE \cong \Delta BFK$ by rule ASA rule of congruence.

Step-by-step explanation:

First let us prove $\Delta BDE \cong \Delta BFK$ by rule ASA (rule of congruence).

Congruent side:

$\overline{BD} \cong \overline{BF}$ (Given)

Congruent angles:

1. By definition of perpendicular,

$\angle{BFK} = 90 \textdegree \ (Since \ \overline{FK} \ is \ perpendicular \ to \ \overline{AB} \ (\overline{FK} \perp \overline{AB} =Given))$

Also,

$\angle{BDE} = 90 \textdegree \ (Given)$

Therefore,

$\angle{BDE} \cong \angle{BFK}$

or you can say,

$\angle{D} \cong \angle{F}$

2. Common angle between $\Delta BDE \ and \ \Delta BFK$ is $\angle{B}$

In a nutshell, in $\Delta BDE$ ,

$\angle{B}$ (Angle)

$\overline{BD}$ (Side)

$\angle{BDE}$ (Angle)

are congruent to the following angle, side and angle of $\Delta BFK$ :

$\angle{B}$ (Angle)

$\overline{BF}$ (Side)

$\angle{BFK}$ (Angle)

Therefore, by ASA rule of congruence, we can say $\Delta BDE \cong \Delta BFK$ .

Since both triangles are congruent, the sides $\overline{ED}$ and $\overline{FK}$ are also congruent.

5 0

3 years ago

Read 2 more answers