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lozanna [386]
3 years ago
9

Which of the following proportionality statements is correct ?

Mathematics
1 answer:
ASHA 777 [7]3 years ago
5 0

Answer:

A. \frac{AC}{BC} = \frac{DF}{EF}

Step-by-step explanation:

Given that: ΔABC~ΔDEF

This implies that the sides of the two triangles are proportional. So that,

AB is proportional to DE

BC is proportional to EF

AC is proportional to DF

Therefore from the given proportional relations of the two triangles, the appropriate proportionality statement is;

\frac{AC}{BC} = \frac{DF}{EF}

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If represents the number of bacteria in a culture at time t, how many will there be at time
Crazy boy [7]

Answer:

Population of bacteria at  time t = 6 is 2441

Step-by-step explanation:

The complete question is

If y = 10 (2.5)^trepresents the number of bacteria in a culture at time t, how many will there be at time t = 6

Solution

Given

The population of bacteria after time t is equal to y = 10 (2.5)^t

Population when at time t = 6

We will substitute the value of time in above equation.

y = 10 (2.5)^6\\y = 10  *244.14\\y = 2441.4 = 2441

6 0
3 years ago
By rounding to 1 significant figure, estimate<br> 6.4 x 7.35
densk [106]

Answer:

6.4 x 7.4 =47.36

Step-by-step explanation:

7.35 rounded will be 7.4

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Brenna needed 8 gallons of gas last week. This week, Brenna ended up needing 50% less. How much gas is that? Please answer quick
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Answer:

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Step-by-step explanation:

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3 years ago
Convert 17/20 into percentages .
PilotLPTM [1.2K]

Answer:

85%

Step-by-step explanation:

85% because I searched and it gave me 85%

6 0
3 years ago
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a company owns two dealerships, both of which sell cars and trucks. the first dealership sells a total of 164 cars and trucks. t
OLEGan [10]

Answer:

294 cars.

Step-by-step explanation:

Let x be the number of cars and y be the number of trucks.

We have been given that the first dealership sells a total of 164 cars and trucks. We can represent this information as:

x+y=164...(1)

The second dealership sells twice as many cars and half as many trucks as the first dealership. So the number of cars sold by 2nd dealership will be 2x and number of trucks sold by 2nd dealership will be y/2.

Further, the 2nd dealership sold a total of 229 cars and trucks. We can represent this information as:

2x+\frac{y}{2}=229...(2)

We can see that total number of cars sold on two dealerships will be x+2x=3x.

We will use substitution method to solve for x. From equation (1) we will get,

y=164-x

Substituting this value in equation (2) we will get,

2x+\frac{164-x}{2}=229

Now let us have a common denominator.

\frac{4x}{2}+\frac{164-x}{2}=229

\frac{4x+164-x}{2}=229

Upon multiplying both sides of our equation by 2 we will get,

2\times \frac{4x+164-x}{2}=2\times 229

4x+164-x=458

4x+164-164-x=458-164

4x-x=458-164

3x=294

Therefore, the total number of cars sold by two dealerships is 294.

7 0
3 years ago
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