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3 years ago

Answer please.............

Mathematics

1 answer:

Mariana [72]3 years ago

4 0

Answer:

Option D: 1 is the correct answer.

Step-by-step explanation:

Given that:

n(x) = 7x+4

n(x) = 11

Putting n(x) = 11 in first function.

11 = 7x + 4

Now, we will subtract 4 from both sides

11 - 4 = 7x + 4 - 4

7 = 7x

7x = 7

Dividing both sides by 7

$\frac{7x}{7}=\frac{7}{7}$

x = 1

Hence,

Option D: 1 is the correct answer.

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When 2 pieces of rope are placed end to end they measure 40 meters in length when the 2 pieces are laid side by side one is 10 m

poizon [28]

Answer:

15 meters and 25 meters long

Step-by-step explanation:

There are 2 pieces of rope.

Total length of both---> 40 meters

Length of piece 1 ------> x

Length of piece 2 -----> x + 10

Find the value of x.

Form an equation ----> Length of piece 1 + length of piece 2 = total length

x + (x + 10) = 40

2x + 10 = 40

2x = 30

x = 15

Length of piece 1 --> x ---> 15

Length of piece 2 --> x + 10 ----> 15 + 10 = 25

Therefore, one piece is 15 meters long and the other piece is 25 meters long.

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3 years ago

A boat is heading towards a lighthouse, whose beacon-light is 110 feet above the

qwelly [4]

Answer:

895.9 feet

Step-by-step explanation:

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3 years ago

What is the quotient of 492÷6

Artist 52 [7]

82.

Hope this helps :)

3 0

4 years ago

Drag and drop an answer to each box to correctly complete the explanation for deriving the formula for the volume of a sphere

denis-greek [22]

The answers that would fill in the blanks are

2r
a circle
an annulus
1/3πr³
4/3πr³

<h3>What is the Cavalier's principle?</h3>

This principle states that if two solids are of equal altitude then the sections that the planes would make would have to be parallel and also be at the same distances from their bases which are equal such that the volumes of the solids would be equal.

Now we have to fill in the blanks with the solution.

For every corresponding pair of cross sections, the area of the cross section of a sphere with radius r is equal to the area of the cross section of a cylinder with radius r and height 2r minus the volume of two cones, each with a radius and height of r. A cross section of the sphere is a circle base of cylinder, is and a cross section of the cylinder minus the cones, taken parallel to the base of cylinder, is an annulus_ .The volume of the cylinder with radius r and height 2r is 2πr³, and the volume of each cone with radius r and height r is 1/3πr³. So the volume of the cylinder minus the two cones is 4/3πr³. Therefore, the volume of the sphere is by Cavalieri's principle

Read more on Cavalieri's principle here

brainly.com/question/22431955

#SPJ1

5 0

1 year ago

Kayla rolls two fair number cubes each numbered 1 through 6. She needs to roll a sum of 9 or more to win a game. She rolls the n

34kurt

Answer:

1/6

Step-by-step explanation:

Starting with 2 cubes that have 6 numbers total for each one, so 2 cubes will have 12 numbers total, and the probability of number 5 is 2/12 (because each cube has a number 5, so two cubes will have 2, and fraction for it will be 2/12). After simplification, the final result is 1/6.

7 0

3 years ago