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2 years ago

When the sum of a number plus 3 is squared it is 11 more than the sum of the number plus 2 when squared.

1 answer:

5 0

$x-number\\\\
(x+3)^2-11=(x+2)^2\\\\
x^2+2*3*x+3^2-11=x^2+2*2*x+4\\\\
x^2+6x+9-11=x^2+4x+4\ \ |-x^2\\\\6x-2=4x+4\\\\6x-4x=4+2\\\\2x=6\ \ |:2\\\\ x=3
$

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Find the percent of change. Label increase or decrease. Round to the nearest tenth of a percent

notka56 [123]

Answer:

0.15% decrease

Step-by-step explanation:

18.75 - 18.60 = 0.15

Hope this helped!

8 0

2 years ago

Read 2 more answers

A gym membership is $100 sign-up fee and charges $20 a month thereafter. How much is the membership fee in a month?

trapecia [35]

Answer:

$120

Step-by-step explanation:

y = mx + b

The $100 sign up fee is a set amount, or the b value.

The $20 would be the m value since it the constant change, or the slope.

Thus, the equation would be y=20x + 100

The membership fee for 1 month would be --->

y= 20(1) +100

y= 20 + 100

y= $120

4 0

2 years ago

Distance between -13,10 and -7,2

frosja888 [35]

The right answer is 10 units.

please see the attached picture for full solution

Hope it helps

Good luck on your assignment

7 0

2 years ago

A store diplays will have 6 rows,12 contaners in each row.if 39 contaners has been set UPS so farsa explain how to find the numb

torisob [31]

Multiply:
6•12=72

Then, you subtract 39 from 72:
72-39=33

33 containers would still need to be set up.

4 0

3 years ago

Can jack built 1/5 of a shed in the same time that kyle can build 5/8 of shed,

Helen [10]

<h3>Answer: 3/10 of a shed</h3>

=============================================================

Explanation:

Let's say the shed comes in 40 equal pieces. Each piece takes the same amount of time to assemble. Why am I picking 40? Because 8*5 = 40.

This will allow us to rewrite the fractions with a common denominator.

1/5 = 8/40 .... multiply top and bottom by 8
5/8 = 25/40 .... multiply top and bottom by 5

So Jack can build 8/40 of the shed in the same amount of time Kyle can build 25/40 of the shed.

Instead of writing fractions (which honestly are a pain to deal with), I'm going to write "8 pieces" and "25 pieces" to represent "8/40" and "25/40" respectively. Just keep in mind that there are 40 pieces total.

So again, Jack can assemble 8 pieces in the time it takes Kyle to assemble 25 pieces.

---------------

The ultimate goal is to have Kyle assemble 40 pieces while Jack puts together some unknown number of pieces (some number between 8 and 40). Let's say it's x.

We can then form this proportion

$\frac{\text{Jack's initial 8 pieces}}{\text{x pieces}}=\frac{\text{Kyle's initial 25 pieces}}{\text{goal of 40 pieces}}$

which simplifies or cleans up to

5/x = 25/40

-----------------

Let's solve for x using cross multiplication

8/x = 25/40

8*40 = x*25

320 = 25x

25x = 320

x = 320/25

x = 12.8

So in the time it takes Kyle to assemble all 40 pieces, Jack can put together 12.8 pieces of the shed. However, we can't have Jack put together some fractional piece, because each "piece" is as small as it gets. We can't get any smaller. It would be like saying a fractional part of an atom or a lego block.

So we'll round 12.8 down to 12.

Jack can assemble 12 pieces in the time it takes Kyle to assemble 40 pieces.

Let's then convert this back to fraction form

12 pieces = 12/40 of a shed = 3/10 of a shed.

8 0

2 years ago