Simplify 3z – (3x – 2z) + 2x. Please could you tell me how you worked it out, thanks :)

Answers

Answer 1

Answer: Let's simplify step-by-step.
3z−(3x−2z)+2x
=3z+−3x+2z+2x
Combine Like Terms:
=3z+−3x+2z+2x
=(−3x+2x)+(3z+2z)
=−x+5z
Answer:
=−x+5z

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Can someone tell me if the following steps in the correct order or where I went wrong? In experimental studies, we follow a logical method to arrive at a conclusion. Arrange the given steps in the correct sequence. State a problem Make Hypothesis perform an experiment to collect data. Ask relevant questions Arrival at a logical conclusion. Compare with the baseline value of the control group. should I switch the last two around?

Answers

Yes, you should switch the last two. You must compare, before you reach a logical conclusion.

Simplify the expression above

Answers

Answer:

2x²

Step-by-step explanation:

Answer:

11y-5

Step by step:

X^2-8x^2+7x^2=0

x+x-2x=0

3-8=-5

2y+9y=11y

Compare 1⁄2 with 3⁄4 using ( <, >, =).

Answers

1/2< 3/4
Think of it as decimals
1/2 is .50 and 3/4 is .75
Hope this Helps :)

As you can see above, 3/4 is larger than 1/4. The larger the numerator, the larger the fraction. so >

Solve the following equation. Remember to check for extraneous solutions 7/(b+3) + 5/(b-3) = (10b-2)/(b²-9).

Answers

Answer:

b= 2 is the solution for the given equation.

Step-by-step explanation:

Here, the given expression is:

$(7)/((b+3)) + (5)/((b-3)) = (10b -2)/((b^(2) -9))$

Simplifying Left side, we get

$(7)/((b+3)) + (5)/((b-3))$

= $(7(b-3) + 5(b+3))/((b+3)(b-3))$

Also, by ALGEBARIC IDENTITY: $x^(2) -y^(2) = (x+y)(x-y)$

So, $(b+3)(b-3) = b^(2) -9$

So, LHS becomes $(7(b-3) + 5(b+3))/(b^(2) -9)$

Compare both Left side, Right side we get

$(7(b-3) + 5(b+3))/(b^(2) -9)$ = $(10b -2)/((b^(2) -9))$

or, 7(b-3) + 5(b+3) = 10b -2

⇒ 7b - 21 + 5b + 15 = 10b -2

or, 12b - 10b = 6-2

or, 2b = 4 ⇒ b = 4/2 = 2

⇒ b= 2 is the solution for the given equation.

A line includes the points (2, 10) and (1, 0). What is its equation in slope-intercept form?

Answers

Answer:

y=10x-10

Hope this helped <3

Adam is going to cook a turkey for 14 people and wants to allow ¾ lb of turkey for each person. 1lb = 450 g

How much would a turkey cost for 14 people?

Turkey sizes -
Small: 2kg - 3.9kg
Medium: 4kg - 5.4kg
Large: 5.5kg - 7.2kg
Extra Large: 7.3kg - 9.2kg

Turkey prices -
Small/Medium: £5.99 per Kg
Large/Extra large: £4.99 per Kg

Answers

I did (450*3/4=337.5) to get how much each person would eat, then I did (337.5*14=4725g) to see how big the turkey should be. I then converted grams to kilos (4725*0.001=4.725 kg), and I got how big the turkey would be. It turns out the appropriate size of the turkey would be medium, so then what I did was that I looked for the medium price of the turkey per kg, and found that it was £5.99 per kg. I did (4.725*5.99) and I got about £28.30.It would cost £28.30 for 14 people.

These problem can be solved using conversion fractions. A conversion fraction is a unitary fraction that we use to convert units; the idea is multiply the unit we want to convert by a fraction with the same unit as denominator and the target unit as numerator.

First, we are going to find how many grams are $(3)/(4)$ lb. Since we know that $1lb = 450g$ , we just need to multiply $(3)/(4)lb$ by the conversion fraction $(450g)/(1lb)$ :

Grams per person = $((3)/(4)lb)((450g)/(1lb) )=(0.75lb)((450g)/(1lb) )=337.5g$

Next, we are going to find the total amount of grams Adam will need. Since there are 14 persons, we just need to multiply the grams per person by 14:

Total grams = $14(337.5g)=4725g$

Since the cost of the turkey is expressed in kilograms, we need to convert the total grams to kilograms. We know that 1 kg = 1000 g, so we need to multiply the total grams by the conversion factor $(1kg)/(1000g)$ :

Total kg = $(4725g)((1kg)/(1000g) )=4.725kg$

Now we know know that Adam will need to buy 4.725 kg of medium size turkey, so the only thing left is multiply the price of the medium size turkey by the total kg:

Total cost = $(4.725kg)((5.99)/(kg) )=28.30$

We can conclude that a turkey for 14 people will cost£28.30.

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