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3 years ago

The greater of two consecutive even integers is 20 more than twice the smaller. find the integers

Mathematics

1 answer:

Sliva [168]3 years ago

4 0

9514 1404 393

Answer:

-19, -18

Step-by-step explanation:

Let x represent the smaller integer. Then the larger is x+1 and their relationship is ...

x +1 = 20 + 2x

-19 = x . . . . . . . . . subtract x+20 from both sides.

The smaller integer is -19; the larger is -18.

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Equivalent of (17×4)−35

Thepotemich [5.8K]

17 times 4, you get 68. 68 minus 35, your answer is 33
17*4=68
68-35=33

3 0

3 years ago

Determine whether the events are independent (I) or dependent (D). Place your answer in the blank provided. 1. Ramiro draws a ma

Stels [109]

Answer:

Independent events

Step-by-step explanation:

Given that:

Ramiro draws a marble from a jar without replacement and then flips a coin

Let $E_1$ be the event that Ramiro draws a marble without replacement and;

Let $E_2$ be the event of flipping a coin.

Let's have an analogy so that we can better understand the concept of independent and dependent events.

Consider a random experiment in which a marble is drawn from a jar without replacement and a fair coin is flipped together.

The event $E_1$ does not in any way affect the event $E_2$ of a head or a tail showing up in a flip of a coin.

Therefore, we say that $E_1$ and $E_2$ are independent events.

Suppose the event $E_1$ affects or influence the event $E_2$ , then we can say they are dependent events.

4 0

4 years ago

Two rigid transformations are used to map triangle JKL to triangle MNQ. The first is a translation of vertex L to vertex Q. What

oee [108]

Answer:

I think it could be D

Step-by-step explanation:

Because if you move point K up a little they will be congruent , I’m not 100% sure tho

7 0

4 years ago

Read 2 more answers

You are painting the root of a boathouse. You are going to place the base of a ladder 12 feet from the boathouse. How long does

jolli1 [7]

Answer:

37 ft

Step-by-step explanation:

The ladder forms a right triangle as it elan's against the wall of the boat house.

Thus, the length of the ladder can be determined using Pythagorean theorem.

c² = a² + b²

c = length of ladder

a = 35 ft

b = 12 ft

Plug in the values

c² = 35² + 12²

c² = 1,225 + 144

c² = 1,369

c = √1,369

c = 37

Therefore, to reach the roof of the boathouse, the length of the ladder = 37 ft

4 0

3 years ago

Val needs to find the area enclosed by the figure. The figure is made by attaching semicircles to each side of a 58-by-58 squar

Savatey [412]

Answer:

We need to find the area of the semicircles + the area of the square.

The area of a square is equal to the square of the lenght of one side.

As = L^2 = 58m^2 = 3,364 m^2

Now, each of the semicircles has a diameter of 58m, and we have that the area of a circle is equal to:

Ac = pi*(d/2)^2 = 3.14*(58m/2)^2 = 3.14(27m)^2 = 2,289.06m^2

And the area of a semicircle is half of that, so the area of each semicircle is:

a = (2,289.06m^2)/2 = 1,144.53m^2

And we have 4 of those, so the total area of the semicircles is:

4*a = 4* 1,144.53m^2 = 4578.12m^2

Now, we need to add the area of the square 3,364 m^2 + 4578.12m^2 = 7942.12m^2

This is nothing like the provided anwer of Val, so the numbers of val may be wrong.

4 0

3 years ago