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Nezavi [6.7K]
3 years ago
14

Solve and show how you did: -2x + (12 - 9) = 2 + 9 + 2x

Mathematics
1 answer:
Norma-Jean [14]3 years ago
5 0
Remove parentheses
-2x + 12 - 9 = 2 + 9 + 2x

Simplify -2x + 12 -9 to -2x + 3
-2x + 3 = 2 + 9 + 2x

Simplify 2 + 9 + 2x to 2x + 11
-2x + 3 = 2x + 11

Add 2x to both sides
3 = 2x + 11 + 2x

Simplify 2x + 11 +2x to 4x + 11
3 = 4x + 11

Subtract 11 from both sides
3 - 11 = 4x

Simplify 3 - 11 to - 8
-8 = 4x

Divide both sides by 4
-8/4 = x

Simplify 8/4 to 2
-2 = x

Switch sides
x = -2
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The original price of a pair of shoes is $42. The sale price 20% off the orginal price. Sales tax of 7% is added to the sale pri
m_a_m_a [10]

Answer:

$8.40 is the amount to be subtracted from the $42.00. If you multiply 20% (.20) by $42.00 you get $8.40. To get your final price subtract $8.40 from $42.00 to get you final answer. I hope that helps.

Step-by-step explanation:

5 0
3 years ago
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Corbin is selling cheese at the farmers’ market. One wheel of cheese has a diameter of 11 inches.
sveticcg [70]

Answer:

I. 94.99 in²

II. $0.23

Step-by-step explanation:

<u>Given the following data;</u>

Diameter of wheel = 11 inches

\pi = 3.14

Cost of wheel = $21.35

Radius, r = \frac {diameter}{2}

Radius, r = \frac {11}{2} = 5.5 \; inches

<em><u>Part A</u></em>

To find the area;

We know that a wheel is circular in nature. Thus, the area of a circle is given by the formula;

Area, A = \pi r^{2}

Substituting into the equation, we have;

Area, A = 3.14 * 5.5^{2}

Area, A = 3.14*30.25

<em>Area, A = 94.99 in²</em>

<em><u>Part B</u></em>

To find cost per square inch;

Cost \; per \; square \; inch = \frac {Cost \; per \; wheel}{Area \; of \; wheel}

Cost \; per \; square \; inch = \frac {21.35}{94.99}

<u>Cost per square inch = $0.23</u>

6 0
3 years ago
1/4(x+3)+3/8x=13/4 SOLVE FOR X
larisa86 [58]
1. First I turned the fractions into decimals, just to make things easier for me.2. That gave me => (.25x)+(.75)+(.375)=(3.25)
3. Then, I combined like terms and move my equation around; so, that gave me (.25x) = (3.25) - (.75) - (.375) and when I solve the right side of the equation it gives me
(.25x) = (2.125)
4. After combining like terms and simplifying (the way I did in step 3), I will divide both sides by .25, to get the value of X alone; so, my equation then looks like => x=8.5

4 0
3 years ago
Why is 2/3 greater than 3/5? Explain this to an 8 year old
Dmitrij [34]

\text{Hey there!}

\bf{\frac{2}{3}=0.6\overline{6}7}\\\\ \bf{\frac{3}{5}=0.60}

\text{Reason: if you use a fraction pie chart and compare}\frac{2}{3} \text{to}\frac{3}{5}, \text{you'd see that}\frac{2}{3} \text{has more shaded areas than as for}\frac{3}{5}\text{has the least amount}

\text{Good luck on your assignment and enjoy your day!}

~\frak{LoveYourselfFirst:)}

8 0
3 years ago
Find the number which when divided by 4 and increased by 12 is the same as when it is divided by 3 and decreased by 5
MatroZZZ [7]

Step-by-step explanation:

Let's make the number we're finding to be a. So, it says that it will be divided by 4 and then added by 12 if we want this in algebraic expression it will be \frac{a}{4} +12\\. It's also telling us that that expression is the same thing as our number divided by 3 and subtracted by 5. If we want an expression out of it it well be \frac{a}{3} -5\\. Since they are the same, we have the equation below.

\frac{a}{4} +12 = \frac{a}{3} -5\\

All we have to do now is to find a.

\frac{a}{4} +12 = \frac{a}{3} -5 \\ \frac{a +48}{4} = \frac{a -15}{3} \\ (3)(a +48) = (a - 15)(4) \\ 3a +144 = 4a -60 \\ (60 -3a) + 3a +144 = 4a -60 +(60 -3a) \\ a = 204

<h3>Answer:</h3>

Our number must be 204. I think

5 0
4 years ago
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