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2 years ago

Find the next three terms of the following arithmetic sequence -2, -5, -8, -11,

Mathematics

1 answer:

Mariulka [41]2 years ago

8 0

Answer: -14, -17, and -20

Step-by-step explanation: Study the sequence.

Notice that each number is 3 less than the number before it.

In other words, -2 - 3 is -5, -5 - 3 is -8, and -8 - 3 is -11.

Now, if we continue with this same sequence,

-11 - 3 is -14, -14 - 3 is -17, and -17 - 3 is -20.

So the next three numbers are -14, -17, and -20.

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Look at the picture

IRISSAK [1]

Answer:

x = 10

Step-by-step explanation:

In the last step, you can see that the fraction $\frac{1}{5}$ has been multiplied by its reciprocal $\frac{5}{1}$ , making it cancel out. The reciprocal has been multiplied to both sides, so all you need to do is multiply $\frac{6}{3}$ · $\frac{5}{1}$ :

6 · 5 = 30

3 · 1 = 3

So now you should have the fraction:

x = $\frac{30}{3}$

But, you can still simplify the fraction by dividing 30 by 3:

x = 10

7 0

3 years ago

The vertices of PQRS have coordinates P(–1,5) , Q(3,4) , R(2,−4) , and S(−3,−2) .

aleksandrvk [35]

Answer:

P(5,1), Q(4,-3), R(-4,-2), S(-2,3)

Let me know if it’s correct !!

8 0

2 years ago

A local pizza shop has a membership program for frequent buyers. The membership costs $5 per month and members get a discounted

Len [333]

Answer: Nazim have to pay $35 for 20 slices of pizza.

Monthly cost for x slices = 5+1.5x

Step-by-step explanation:

Let x = number of slices

As per given,

Total monthly cost for x slices = (membership cost) +(discounted price) ×(x)

i.e. Total monthly cost for x slices = 5+1.5x

If x=20

Then, Nazim have to pay = 5+1.5(20)

= 5+30= $35

i..e Nazim have to pay $35 for 20 slices of pizza.

Monthly cost for x slices = 5+1.5x

5 0

2 years ago

Two friends, Neil and Charlie, are going to depart from their houses and ride their bikes towards each other until they meet, an

n200080 [17]

Answer:

0.3 hour or 18 minutes

Step-by-step explanation:

How long means, we are to calculate the time(t)

Hence,

Speed × time = Distance

For Neil , 11 × t

For Charlie = 9 × t

11t + 9t = 6

20t = 6

t = 6/20

t = 0.3 hour

Converting to minutes

1 hour = 60 minutes

0.3 hour = x

x = 0.3 × 60 minutes

x = 18 minutes

Therefore, it will take 0.3 hour or 18 minutes for these two to meet.

6 0

3 years ago

A ladder is leaning against a wall. The top of the ladder is 9 feet above the ground. If the bottom of the ladder is moved 3 ft

Alenkinab [10]

Let L represent the ladder length, and x the distance the horiz. ladder reaches out from the wall. Then L = x + 3, where x is the distance of the bottom of the ladder from the wall when the top of the ladder is 9 ft. above the ground.

Consider the triangle formed by the hypotenuse (L, same as ladder length), the (vertical) side opposite the angle formed by the hypo. (with length 9 ft) and the horiz side (which we will call x). Then, according to the Pythagorean Theorem,
L^2 = x^2 + 9^2. But L = x + 3, and L^2 = x^2 + 6x + 9 = x^2 + 9^2. Solving this equation results in x=3. 6x + 9 = 9^2, or
6x + 9 = 81
6x = 72
x = 12

But L = x+3. So L=12+3, or L = 15 (feet).

4 0

3 years ago