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3 years ago

Rearrange y =1/2x+1to make x the subject.

Mathematics

2 answers:

seraphim [82]3 years ago

6 0

Answer:

<h2>The answer is x = 2y - 2 </h2>

Step-by-step explanation:

Question: y = 1/2x + 1

Given:

equation: y = 1/2x + 1

Unknown:

Equation in x = ?

1. Move the x variable to the side that the y is on.

y = 1/2x + 1

-1/2x -1/2x

2. Move the y to the side of the y-intercept

y - 1/2x = 1

-y - y

3. Divide both sides by -1/2 or multiply by -2

-1/2x = -y + 1

*-2 -2(-y + 1)

<h2>The answer is x = 2y - 2 </h2>

Hope it helped,

Kavitha Banarjee

ella [17]3 years ago

3 0

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$y = \frac{1}{2} x + 1 \\$

Multiply sides by 2

$2 \times y = 2 \times ( \frac{1}{2} x + 1) \\$

$2y =( 2 \times \frac{1}{2} x) + (2 \times 1) \\$

$2y = x + 2$

$x + 2 = 2y$

Subtract sides 2

$x + 2 - 2 = 2y - 2$

$x = 2y - 2$

Done...

❤❤❤❤❤❤❤❤❤❤❤❤❤

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The table shows the year groups of some students who use the canteen. Mr Ford wants to survey 50 of these students stratified by

igor_vitrenko [27]

7 more year 9 students than year 8 students should be surveyed, If Mr.Ford wants to survey 50 of these students stratified by year group.

Step-by-step explanation:

The given is,

Year Students

7 80

8 110

9 160

Total 350

Mr.Ford wants to survey 50 of these students stratified by year group.

Step:1

Formula to find the ratio of number of grouped students to total students,

$Ratio, r = \frac{Number of students grouped }{Total number of students}$

= $\frac{50}{350}$

= 0.1428

Step:2

Formula for Number of students surveyed from year wise,

For year 7 students,

= (Ratio) × (Students from year 7)

= 0.1428 × 80

= 11.424

≅ 11 (∵ For students we convert into whole number)

For year 8 students,

= (Ratio) × (Students from year 8 )

= 0.1428 × 110

= 15.708

≅ 16 (∵ For students we convert into whole number)

For year 8 students,

= (Ratio) × (Students from year 9 )

= 0.1428 × 160

= 22.8

≅ 23 (∵ For students we convert into whole number)

Step:3

To find How many more year 9 students than year 8 students should be in the survey

= ( Students from year 8 for group) -

( Students from year 8 for group)

= 23 - 16

= 7 students

Result:

7 more year 9 students than year 8 students should be surveyed, If Mr.Ford wants to survey 50 of these students stratified by year group.

6 0

3 years ago

Read 2 more answers

Mason currently pas $420 per month in rent. the contract on his apartment sates that his rent will increase by 6% next year.

Sergeeva-Olga [200]

Answer:

a. Mason's rent will increase by $302.40 next year.

b. Mason's new rent per month next year will be $445.20.

Step-by-step explanation:

The first question is asking us how much Mason's rent will increase next year.

If the contract on Mason's apartment states that his rent will increase by 6% next year, and he is currently paying $420 per month, to calculate the increase of the rent next year, we will first have to multiply $420 by 12 months to calculate how much Mason is paying in rent a year:

$420* 12=$

$5040$

Therefore, Mason is currently paying $5040 a year.

With this information, we will now need to calculate 6% of $5040. To calculate 6% of $5040, convert 6% to decimal form, and multiply it by $5040.

6% means 6 per cent/hundred, so it can be represented as:

$\frac{6}{100}$

The fraction $\frac{6}{100}$ can be represented as (we're two places behind the decimal, in the hundredths place):

$0.06$

Now, multiply the decimal form of 6% by $5040:

$0.06*5040=$

$302.40$

Therefore, Mason's rent will increase by $302.40 next year.

To calculate Mason's new rent per month next year, we can divide $302.40 into 12 months to see the rent increase per month, and then add that quotient to Mason's current rent per month, $420:

$302.40$ ÷ $12=$