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3 years ago

Follow my Pinterest 13jadyn13

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viktelen [127]3 years ago

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Answer:

okay first you follow me on Pinterest

then I'll flw you back

good night

Stella [2.4K]3 years ago

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Find three consecutive positive integers such that the product of the first and third, minus the second, is 1 more than 7 time

Bas_tet [7]

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Define x :
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Let the smallest number be x.
First number = x
Second Number = x + 1
Third Number = x + 2

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Construct equation :
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x(x+2) - (x+1) = 7(x+2) + 1

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Solve x :
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x(x + 2) - (x + 1) = 7(x + 2) + 1
x² + 2x - x - 1 = 7x + 14 + 1
x²- 6x - 16 = 0
<span>(x+2)(x-8) = 0
</span>x = -2 or x = 8

Since x is a positive integer, it cannot be negative.
⇒x = 8

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Answer: The three numbers are 8, 9 and 10.
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6 0

3 years ago

An experimental population of fruit flies increases according to the law of exponential growth. There were 60 flies after the 2n

Mice21 [21]

Answer:

There were 10 flies originally

Step-by-step explanation:

Since we have an exponential growth, we will be having a constant percentage of increase and we can set up the increase at any day using the following equation;

V = I(1+r)^d

where V is the number of flies on a particular day

I is the initial number of flies

r is the constant increase in percentage

and d is the number of days.

So we have for the second day;

60 = I(1+r)^2 ••••••(i)

For the fourth day, we have;

360 = I(1+r)^4 ••••••••(ii)

divide equation ii by i; we have;

360/60 = (1+r)^4/(1+r)^2

6 = (1+r)^2

(√6)^2 = (1+r)^2

1 + r = √6

r = √6 - 1

So we can substitute the value of r in any of the equations to get I which is the initial number of flies

Let’s use equation 1

60 = I(1 + r)^2

60 = I(1 + √6 -1)^2

60 = I(√6)^2

60 = 6I

I = 60/6

I = 10 flies

3 0

3 years ago

Which expression can be used to represent the phrase “four less than seven”?

alexira [117]

Answer:

4-7 is four less than 7.

7 0

3 years ago

Read 2 more answers

Describe triangle ABC in terms of its sides and angles

Nimfa-mama [501]

Answer:

Right angle triangle

Step-by-step explanation:

Given triangle is right angle triangle
It is a type of triangle that has one of it's angles equal to 90 degrees.
The other two angle sum up to 90 degrees.
Here AC side is perpendicular and the AB side is base of the triangle.
And the third side that is called CB which longest side of all three sides that is called hypotenuse.

6 0

3 years ago

Read 2 more answers

Samantha gathered the following information on a given day at the dog park.

Luda [366]

The number of dogs that are not puppies is 17, the number of adult dogs without long hair is 6, the number of puppy dogs with long hair is 8 and the number of puppy dogs without long hair is 7.

<h3>What is the information missing?</h3>

To complete the chart it is necessary to determine:

Number of dogs that are not puppies.
Number of puppies with and without long hair
Number of adult dogs without long hair

Number of dogs that are not puppies:

32 (total dogs) - 15 (puppies) = 17 dogs

Adult dogs without long hair:

17 (total adult dogs) - 11 (adult dogs with long hair) = 6 dogs

Puppy dogs with and without long hair

Total of puppy dogs = 15, this number can be obtained by adding 9+6 or 7+8. From these combinations, the only one that meets the rule "There are 6 more dogs that have long hair than dogs that do not have long hair" is 8 puppies with long hair and 7 puppies without long hair.

Note: This question is not written correctly; here is the correct and complete question.

Samantha gathered the following information on a given day at the dog park.

There are 32 dogs playing at the dog park.

15 of the dogs are puppies.

11 of the dogs are not puppies and have long hair.

There are 6 more dogs that have long hair than dogs that do not have long hair.

Fill in the table completely to represent Samantha’s data.

Learn more about dogs in: brainly.com/question/8565422

6 0

3 years ago