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3 years ago

Find three consecutive odd integers so that the sum of twice the first, the second

Mathematics

1 answer:

netineya [11]3 years ago

7 0

Answer: 23, 25, 27

Step-by-step explanation:

Let the 3 consecutive odd numbers be x, x+2 and x+4.

2x+(x+2)+3(x+4)=152

2x + x + 2 + 3x + 12 = 152

6x+14=152

6x = 152 - 14

x=138/6

x=23

So, the numbers are 23, 25 and 27.

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A road bike has a wheel diameter of 622 mm. What is the circumference of the wheel? Use 3.14 for pi

Ghella [55]

Answer:

Circumference ≅ 195 mm

Step-by-step explanation:

The circumference of a circle is equal to: $2*\pi *radius$

Since $Diameter = 2*radius$ we can replace that in the circumference equation giving us:

$Circumference = \pi *Diameter$

We know Diameter = 622 mm and pi = 3.14 so:

$Circumference = \pi *Diameter = 3.14 * 622 mm = 195.308 mm$

7 0

3 years ago

Read 2 more answers

Elliot's employer pays time-and-a-half for all hours worked over 40 hours per week. Elliot's regular hourly rate is $9 per hour.

musickatia [10]

E=9h+1.5(9)(h-40)

e=9h+13.5(h-40), since h=49

e=9(40)+13.5(9)

e=9(40+13.5)

e=9(53.5)

e=$481.50

4 0

3 years ago

PLS HURRY I NEED THE ANSWER FAST

balandron [24]

Answer:

notice how a right triangle was formed, and the Pythagorean theorem could be used to solve this :

a^2 + b^2 = c^2

a^2 + 15^2 = 17^2

a^2 + 225 = 289

a^2 = 64

a= 8

multiply it by 2 to get the side of the base

8 * 2 = 16

5 0

3 years ago

What is 80 ÷ (-50)?

Harrizon [31]

Answer:

- 1.6

Step-by-step explanation:

If divide these to numbers without the negative, you'll get 1.6

Then you can add the negative sign to the 50 and 1.6 and you'll get the correct answer... btw I'm just lazy and that's my way of dividing negative numbers.

7 0

3 years ago

A local gym instructor has a course load that allows her to teach eight classes. At an interest meeting, 8 people wanted high-‐

cricket20 [7]

Answer:

The final curse load of the local gym instructor is this:

High-‐impact aerobics = 1

Low-‐impact aerobics = 4

Jazzercise = 1

Step exercise = 2

Step-by-step explanation:

1. Let's apportion the class load using the Hamilton method

Number of classes the local gym instructor can teach = 8

Total number of students that want to take a class = 114 (8 people wanted high-‐impact aerobics, 64 wanted low-‐impact aerobics, 11 wanted jazzercise, and 31 wanted step exercise)

Standard divisor = 114/8 = 14.25

Now, we can apportion the students in in Standard quotas, this way:

High-‐impact aerobics = 8/14.25 = 0.5614

Low-‐impact aerobics = 64/14.25 = 4.49

Jazzercise = 11/14.25 = 0.7719

Step exercise = 31/14.25 = 2.1754

Now, we find the Minimum quota, just considering the whole number and don't taking into account the decimals, this way:

High-‐impact aerobics = 0

Low-‐impact aerobics = 4

Jazzercise = 0

Step exercise = 2

As we can see we have 6 classes and there are 2 still pending. Those 2 goes to the classes with the highest decimal portion, in this case, Jazzercise .7719 and High-‐impact aerobics with .5614.

The final course load is this:

High-‐impact aerobics = 1

Low-‐impact aerobics = 4

Jazzercise = 1

Step exercise = 2

7 0

3 years ago