16.12.2022

Andre solved the equation 2(x-9) = 10 In the following way. Why is Andre correct?

. 4

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Mathematics
Step-by-step answer
P Answered by Master

I don't agree with his method because he should've used the distribute method for the first step. For step 2, he would've needed to add 18 on both sides. Step 3 would be for him to divide both sides by 2, not subtract 2.

Step-by-step explanation:

2(x - 9) = 10

step one: distribute

⇒ 2x - 18 = 10

step two: add 18 on both sides and then simplify

⇒ 2x - 18 + 18 = 10 + 18

⇒ 2x = 28

step three: divide both sides by 2

\frac{2x}{2} = \frac{28}{2}

⇒ x = 14

Mathematics
Step-by-step answer
P Answered by Specialist

I don't agree with his method because he should've used the distribute method for the first step. For step 2, he would've needed to add 18 on both sides. Step 3 would be for him to divide both sides by 2, not subtract 2.

Step-by-step explanation:

2(x - 9) = 10

step one: distribute

⇒ 2x - 18 = 10

step two: add 18 on both sides and then simplify

⇒ 2x - 18 + 18 = 10 + 18

⇒ 2x = 28

step three: divide both sides by 2

\frac{2x}{2} = \frac{28}{2}

⇒ x = 14

Mathematics
Step-by-step answer
P Answered by PhD

SI=(P*R*T)/100

P=2000

R=1.5

T=6

SI=(2000*1.5*6)/100

=(2000*9)/100

=180

Neil will earn interest of 180

Mathematics
Step-by-step answer
P Answered by PhD
Answer: 440 grams for 1.54 is the better value
Explanation:
Take the price and divide by the number of grams
1.54 / 440 =0.0035 per gram
1.26 / 340 =0.003705882 per gram
0.0035 per gram < 0.003705882 per gram
Mathematics
Step-by-step answer
P Answered by PhD

F=ma

where F=force

m=mass

a=acceleration

Here,

F=4300

a=3.3m/s2

m=F/a

    =4300/3.3

    =1303.03kg

Approximately it is aqual to 1300kg

Mathematics
Step-by-step answer
P Answered by PhD

Here,

tip=18%of $32

tip=(18/100)*32

=0.18*32

=$5.76

Total payment=32+5.76=$37.76

Mathematics
Step-by-step answer
P Answered by PhD

The wood before starting =12 feet

Left wood=6 feet

Wood used till now=12-6=6 feet

Picture frame built till now= 6/(3/4)

=8 pieces

Therefore, till now 8 pieces have been made.

Mathematics
Step-by-step answer
P Answered by PhD

Salesperson will make 6% of 1800

=(6/100)*1800

=108

Salesperson will make $108 in $1800 sales

Mathematics
Step-by-step answer
P Answered by PhD

30% of 420 are first year students

first year students = (30/100 )*420

=126 students

Student who are not in first year = 420-126

=294 students  

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