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3 years ago

The product of two consecutive even numbers is 12 more than the square of the smaller number.

Mathematics

1 answer:

vivado [14]3 years ago

6 0

Answer:

6 and 8

Step-by-step explanation:

Let's start off by thinking at what the question is asking us.

The product (multiplication) of two even numbers (x)(x+2) is which means =,

12 more (12) than the square of the smaller number (x).

So put that all together and you get (x)(x+2)=12+x^2=

Distribute the x, (x)(x+2)=

x^2+2x=x^2+12 Subtract x^2 from both sides.

2x=12

Divide both sides by 2 and you get x=6

So the two numbers are 6,8

6(8)=12+6^2

48=48

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Ksenya-84 [330]

Answer:

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Step-by-step explanation:

To find the area of a rectangle, we just need the length and height.

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8 0

3 years ago

In a 24 km race, during which each runner maintains a constant speed throughout, Alice crosses the finish line while Becky is st

mr_godi [17]

Answer:6km

Step-by-step explanation:

Given

when Alice finishes the race Becky is 8km From finishing line

and caitlin 12 km from finishing line.

Suppose t is the time require by Alice to finish the race

and $V_a,V_b,V_c$ be the velocity of alice ,becky and caitlin

thus $t=\frac{24}{V_a}=\frac{24-8}{V_b}=\frac{24-12}{V_c}$

thus $\frac{V_b}{V_c}=\frac{4}{3}$

say t' is time required by beckey to complete 8 km thus

$V_b\times t'=8$

therefore for Caitlin

$V_c\times t'=\frac{8}{V_b}\times V_c=6$

Thus caitlin will cover a distance of 6 km in t' time and 6 km away from finishing.

7 0

3 years ago

A copy center charges an initial cost per each new job, plus fixed amount for each copied page. John copied 425 pages and paid $

jok3333 [9.3K]

Answer:

Initial cost for a job = $2

Step-by-step explanation:

Let initial cost be $x.

Fixed amount for each copied page = $y

John:

Fixed amount for 425 pages = 425*y = 425 y

x + 425y = 10.50 ---------------(i)

Peter:

Fixed amount for 300 pages = 300 * y =300y

x + 300y = 8 ---------------------(ii)

Multiply (ii) by (-1) and add the both equation. Thus x will be eliminated.

(i) x + 425y = 10.50

(ii)*(-1) <u>-x - 300 y = - 8</u>

125y = 2.50

y = 2.50/125

y = $ 0.02

Plug in y value in equation (i)

x + 425*0.02 = 10.50

x + 8.50 = 10.50

x = 10.50 - 8.50

x = $2

8 0

4 years ago