the line passes through the point (6,1) and has a slope of -1/2 what is the point slope form and slope intercept form ​

Answer:

Step-by-step explanation: here I am pretty sure it is 6

The percentage by which Janice's net salary must be increased in order to arrive at the same net family income as they had before Joe lost his job is 25%.

A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

Let the salary of Joe be represented by x, while the salary of Janice is represented by y.

Since the sum of the salary of Joe and Janice is the net income of the family. Therefore, the net salary when Joe had a job will be,

x + y₁ = 100%

Now, it is known that Joe lost his job, which reduced the net family income by 20%.  Therefore, the net salary now will be only 80% which will be equal to the salary of Janice. Thus, we can write,

y₁ = 80%

Further, Janice decided to work overtime to compensate for the lost income. Therefore, we can write,

y₂ = 100%

Furthermore, the percentage change in salary of Janice can be written as,

Percentage Change = [(100% - 80%)/80% ] × 100%

                                  = 20/80  × 100%

                                  = 25%

Hence, the percentage by which Janice's net salary must be increased in order to arrive at the same net family income as they had before Joe lost his job is 25%.

Learn more about Percentages:

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[tex] \frac{1}{ \sqrt{7} -(- 2)} \\ rationalizing \: \: \: the \: \: \: denominator \: \: \: we \: \: \: have \\ = \frac{1}{ \sqrt{7} + 2 } \times \frac{ \sqrt{7} - 2}{ \sqrt{7} - 2} \\ = \frac{ \sqrt{7} - 2}{ {( \sqrt{7} )}^{2} - {(2)}^{2} } \\ = \frac{ \sqrt{7} - 2 }{7 - 4} \\ = \frac{ \sqrt{7} - 2}{3} [/tex]

Hope you could get an idea from here.

Doubt clarification - use comment section.

Given that:

1/(√7 - 2)

The denominator is (√7-2).

We know

The rationalising factor of (√a-b) is (√a+b)

Therefore, the rationalising factor of √7-2 is √7+2.

On rationalising the denominator them

⇛[1/(√7-2)]×[(√7+2)/(√7+2)]

⇛[1(√7+2)]/[(√7-2)(√7+2)]

Since, (a-b)(a+b) = a²-b²

Where, a = √7 and b = √2.

⇛[1(√7+2)]/[(√7)²-(2)²]

⇛[1(√7+2)]/[(√7*7)-(2*2)]

⇛[1(√7+2)]/[7-4]

⇛[1(√7+2)]/3

⇛(√7+2)/3

Hence, the denominator is rationalised.

also read similar questions:

Answer:

(2,2)

Step-by-step explanation:

The solution to a system is the point on the graph where both lines intersect.

Answer:

Step-by-step explanation:

Example 1: Changing the whole number 5 into a fraction.

Take the whole number (5), add a line below it (/), then add a 1 to the denominator.

5 = 5/1

Example 2: Changing the whole number 5 into a fraction.

Take the whole number (5), multiply it by 2 add a line below it (/), then add a 2 to the denominator.

5 = (5*2)/2 = 10/2

***This can be reduced to 5/1***

Example 3: Changing the whole number 5 into a fraction.

Take the whole number (5), multiply it by 3 add a line below it (/), then add a 3 to the denominator.

5 = (5*3)/3 = 15/3

***This can also be reduced to 5/1***

If you follow the pattern, you will realize all whole numbers are fractions already.

They are fractions with a denominator of 1. This fraction can be manipulated with all of the same standard rules you would traditionally use with fractions, even when the denominator isn’t shown.

A fraction is simply a way to describe portions of a whole. The denominator simply tells you how many pieces to break the whole into. When the denominator is 1, you are breaking the whole into one piece (or not breaking it apart at all.

I hope this helps.

Answer:

semoga jawabannya benar

Step-by-step explanation:

Korelasi Rank Spearman digunakan untuk mencari hubungan atau untuk menguji signifikansi hipotesis asosiatif bila masing-masing variabel yang dihubungkan berbentuk Ordinal.

Answer:

179.2

Step-by-step explanation:

166 = x + -13.2

166 - -13.2 = 166 + 13.2 = 179.2

Answer:

7296 / 24 = 304

9216 / 18 = 512

Answer:

it's a

Step-by-step explanation:

the formula for volume is height×width×length

7×4×3=84

voila!

Answer:

Unit Price for Brand A: $0.31 per Pencil.

Unit Price for Brand B: $0.35 per Pencil.

Brand A is the better buy.

Step-by-step explanation:

Divide 7.49 by 24 to get 0.312 and round down to 0.31.

Divide 9.97 by 28 to get 0.356 and round down to 0.35 (0.36 is too much making the price $10.08)

Compare 0.31 and 0.35. (0.31 < 0.35)

Answer:15% , 0.15 , 6/40 or 3/20

Step-by-step explanation:

The percent is 15% and 15 hundredths is 0.15 and the fraction is just 6/40.

Answer:

3/20, 0.15, 15%

Step-by-step explanation:

Fraction:

6/40 un-simplified

3/20 simplified

Decimal:

0.15

Percentage:

15%

Answer:

Let the youth and adult tickets be y and x respectively.

6y + 5x ---> (1)

From statement (1):

(1) × 14

84y + 70x

For every 70 adult tickets sold, 84 youth tickets were sold.

Total number of tickets sold= 70 + 84

                                              = 154

100 mph per hour

Step-by-step explanation:

solution

speed of auto mobile=50mph

distance already traveled when the airplane took out in pursuit=200miles

time taken to overtake the car=4 hours

Now,

let the speed of airplane be X

X=50×4+200

or,X=200+200

or,X=400

or, X=400÷4

Therefore, X=100

at the beginning of year 4, only 3 years have elapsed, the 4th year hasn't started yet, since it's at the beginning, so at the beginning of year 4 we can say only 4-1 years have elapsed.

[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$700\\ r=rate\to 5\%\to \frac{5}{100}\dotfill &0.05\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=\textit{elapsed years}\dotfill &3 \end{cases}[/tex]

[tex]A=700\left( 1 + \frac{0.05}{1} \right)^{1\cdot 3}\implies A = 700(1+0.05)^3\implies A(4)=700(1+0.05)^{4-1} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill A(n)=700(1+0.05)^{n-1}~\hfill[/tex]

Answer:

17

Step-by-step explanation:

-2 - 19 x -1

-2 + 19(because two negatives make a positive)

17

Answer:

17 is the answer.

Step-by-step explanation:

Given:

Let's substitute.

=> -2 - 19t

=> -2 - 19(-1)

=> -2 - (-19)

=> -2 + 19

=> 17

Therefore, 17 is the answer.

Hoped this helped.

Answer:

16

Step-by-step explanation:

x+y=30  solve for x   x=30-y

substitute x with 30-y and solve

11.25x+22.4y=515.9

11.25(30-y)+22.4y=515.9

337.5+11.15y=515.9

11.15y=178.4

y=16

since we're solving for just large candles it's 16

if need small cangle number 30-16=14

Exact Form:

x

=

7

2

x

=

7

2

Decimal Form:

x

=

3.5

x

=

3.5

Mixed Number Form:

x

=

3

1

2

Answer:

X=3.5

Step-by-step explanation:

What you do is take -9 to 9 and -23. Next subtract -23 and 9. Then drop 4x and then divided 4x by 14 and you will get 3.5 as your answer.

Hope it helped!

Answer:

$24.00

Step-by-step explanation:

8x3=24

Answer:

It's Micrograms. The rest are from the imperial system, which is the system that is commonly used in the United States. The metric system is an international system for scientists and mathematicians to use so that sharing and giving information is a lot easier when conveying to other people around the world.

Answer:

Step-by-step explanation:

wheres the graph

Answer:

How much money does priya have after 10 weeks? 320

How long did it take her to save 200? 5

How much did priya have in her savings account when she started to save regularly? 80

Step-by-step explanation:

Answer:

  linear

Step-by-step explanation:

The function is linear if the ratio of changes in y to changes in x is the same for any set of (x, y) pairs.

  first two pairs: (y2 -y1)/(x2 -x1) = (7 -4)/(2 -1) = 3/1 = 3

  second two pairs: (y3 -y2)/(x3 -x2) = (16 -7)/(5 -2) = 9/3 = 3

The slopes between points are the same for any pair of points, so they all lie on the same line. The function is linear.

Answer:

-15%.

Step-by-step explanation:

Subtract 68 by 80 to get -12.

Divide -12 by the absolute value of 80 to get -0.15.

Multiply 100 to -0.15 to get -15.

Answer:

[tex]m=-2\ 000; q=17\ 000[/tex]

Step-by-step explanation:

First of all, whoever formatted that table is a criminal.

Now, slope first, it's the easiest: the slope in a table like that is the difference between two consecutive position: ie [tex]13\ 000 - 15\ 000[/tex] or [tex]11\ 000-13\ 000[/tex], being careful of subtracting the higher position (not value!) minus the lower, or right minus left. Your slope thus is [tex]-2 \ 000[/tex]. Intercept is found in two ways. One is writing the line in point slope form based on any two values and the slope we found, or since we're jumping integer to integer, you can look at the table in reverse and notice that if you go backwards (ie from 4 to 3 to 2 to 1) the value is increasing by 2000 every time. The intercept [tex]q[/tex]will be the value at 0, or 17 000

Answer:

0.65 cents

Step-by-step explanation:

12x4=48 total

31.20/48 = 0.65 cents each

Answer:

6 yards, 2 feet

Step-by-step explanation:

9yards and 1 ft - 8 feet= 6.66666667 yards

6.66666667 yards=6 yards, 2 feet

6 yards, 2 feet

hope it helps

[tex] \frac{5}{7} \: \: \: of \: \: \: x = \frac{5}{21} \\ = > \frac{5x}{7} = \frac{5}{21} \\ = > 5x = \frac{5}{21} \times 7 \\ = > 5x = \frac{5}{3} \\ = > x = \frac{5}{3} \times \frac{1}{5} \\ = > x = \frac{1}{3} [/tex]

Answer:

[tex]x = \frac{1}{3} [/tex]

Hope you could get an idea from here.

Doubt clarification - use comment section.