All categories

3 years ago

four time the first of three consecutive integers is six more than the product of two and the third integer. find the integers.

1 answer:

3 0

<span>
Assign variables :
Let x = first consecutive even
Let x + 2 = second consecutive even
Let x + 4 = third consecutive even
4x = 6 + 2(x+4)
4x = 6 + 2x + 8
4x = 2x + 14
4x - 2x = 14
so your answer is 7,9and 11</span>

You might be interested in

This was the question it got deleted I just need 1,2,5

scoundrel [369]

Answer:

1. The volume of the cylinder is 263 $cm^{3}$ .

2. The volume of the cylinder is 12 $m^{3}$ .

3. The volume of the cylinder is 3165.1 $cm^{3}$ .

4. The radius of the cylinder is 3.6 cm.

5a. Area of the base is 50.2 $cm^{2}$ .

5b. The curved surface area of the pencil holder is 351.7 $cm^{2}$ .

5c. The surface are of the pencil holder is 452.2 $cm^{2}$ .

Step-by-step explanation:

1. The given shape is a cylinder, so that;

volume of a cylinder = $\pi$ $r^{2}$ h

= 3.14 x $(3.8)^{2}$ x 5.8

= 262.98128

The volume of the cylinder is 263 $cm^{3}$ .

2. This is also a cylinder, but with a given diameter.

radius = $\frac{diameter}{2}$

= $\frac{1.2}{2}$ = 0.6 m

volume of a cylinder = $\pi$ $r^{2}$ h

= 3.14 x $(0.6)^{2}$ x 10.6

= 11.98224

The volume of the cylinder is 12 $m^{3}$ .

3. volume of a cylinder = $\pi$ $r^{2}$ h

= 3.14 x $6^{2}$ x 28

= 3165.12

The volume of the cylinder is 3165.1 $cm^{3}$ .

4. volume of a cylinder = $\pi$ $r^{2}$ h

239 = 3.14 x $r^{2}$ x 6

239 = 18.84 $r^{2}$

$r^{2}$ = $\frac{239}{18.84}$

= 12.6858

r = $\sqrt{12.6858}$

= 3.5617

The radius of the cylinder is 3.6 cm.

5. Area of the base = $\pi$ $r^{2}$

radius = $\frac{diameter}{2}$

= $\frac{8}{2}$ = 4 cm

Area of the base = 3.14 x $4^{2}$

= 50.24

Area of the base is 50.2 $cm^{2}$ .

5b. Area of the curved surface of the pencil holder = 2 $\pi$ rh

= 2 x 3.14 x 4 x 14

= 351.68

The curved surface area of the pencil holder is 351.7 $cm^{2}$ .

5c. Surface area of the pencil holder = 2 $\pi$ rh + 2 $\pi$ $r^{2}$

= 2 $\pi$ r(h + r)

= 2 x 3.14 x 4 (14 + 4)

= 452.16

The surface are of the pencil holder is 452.2 $cm^{2}$ .

7 0

2 years ago

Solve the quadratic equation: -x^2 = 4

arsen [322]

So listen to your teacher next time

6 0

3 years ago

To raise money for a local charity, students organized a wake-a-thon

arsen [322]

Answer:

a) T= 3.125h

b) $75

Step-by-step explanation:

Given: We know Tania raised $50 for staying awake 16 hours. We also know the amount of money raised varies directly with the time.

We can divide $50 into 16 hours.

50/16 = 25/8

25/8 = 3.125

3.125 = 3 1/8 (You can use a fraction or decimal, whichever is preferred)

That's how much money she earns per hour. It may not make sense because you have 1/8 of a dollar, so it's okay if you're a little confused on that.

Now let's answer the first question: Write an equation relating the money Tania raised and the amount of time, in hours, she stayed awake.

We know Tania earns $3.125 per hour, so we can make it this equation

T= 3.125h

T can represent Tania's earnings, and 3.125 is how much she earns h, hourly.

Now onto the second question: How much would she have raised by staying awake for 24 h?

We need to multiply 3.125, or 3 1/8, 24 times. Your answer should be $75.

(I apologize in advance if I misread something or made a mistake)

6 0

2 years ago

What is the percent for 10.44?

e-lub [12.9K]

10.44 = 1044/1000 = 104.4%

7 0

3 years ago

Jamal has run 7 miles from point a to point b of a race. the entire race from point a to point c is 26 miles. how many

Anon25 [30]

The number of more miles he needs to run to complete the race is 19 miles.

<h3 /><h3>How to find distance in miles?</h3>

He has run 7 miles from point a to point b of a race.

The entire race from point a to point c is 26 miles.

Therefore, the number of more miles he needs to run to complete the race is as follows:

let

x = the more miles he needs to run

Hence,

x = 26 - 7

x = 19 miles

Therefore, he needs to run 19 more miles to complete the race.

learn more on distance(miles) here: brainly.com/question/9950097

#SPJ1

8 0

1 year ago