Solve the formula 5x + 2y = 19 for y

Answers

Answer 1

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[tex]5x + 2y = 19[/tex]

Subtract sides 5x

[tex] - 5x + 5x + 2y = - 5x + 19[/tex]

[tex]2y = - 5x + 19[/tex]

Divide sides by 2

[tex] \frac{2y}{2} = \frac{ - 5x + 19}{2} \\ [/tex]

[tex]y = \frac{ - 5x}{2} + \frac{19}{2} \\ [/tex]

[tex]y = - \frac{5}{2} x + \frac{19}{2} \\ [/tex]

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Answer 2

The solution of the equation 5x + 2y = 19 for the value of y is y = (-5 / 2)x + ( 19 / 2).

What is an expression?

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given expression is 5x + 2y = 19. The value of y will be calculated as:-

5x + 2y = 19

2y = 19 - 5x

y = ( 19 / 2 ) - ( 5x / 2 )

Therefore,  the solution of the equation 5x + 2y = 19 for the value of y is y = (-5 / 2)x + ( 19 / 2).

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Related Questions

ctions and Models
Algebra I
Which of the following options results in a graph that shows exponential decay? (2 points)
Of(x) = 0.6(2)*
O f(x) = 3(0.7)
O f(x) = 0.4(1.6)*
O f(x) = 20(3)*
3. (04.03 LC)

Answers

Answer:

i need help

Step-by-step explanation:

I dont understand

You have one type of nut that sells for $6.50/lb and another type of nut that sells for $8.60/1b. You
would like to have 14.7 lbs of a nut mixture that sells for $7.10/lb. How much of each nut will you
need to obtain the desired mixture?
You will need
____lbs of the cheaper nut
and
____lbs of the expensive nut.

Answers

Answer:

You buy 10.5 pounds of the $6.50/lb nuts and 4.2 pounds of the $8.60/lb nuts.

Step-by-step explanation:

Let x be the number of pounds of the cheaper nut.

6.5x + 8.6(14.7-x) = 7.1*14.7

6.5x + 126.42 - 8.6x = 104.37

2.1x = 22.05

x = 10.5

The amount of money earned by bank customers based on the amount of principal in their savings account is _______________.

Answers

Answer:

interest

Step-by-step explanation:

Helpppp pleaseeeeeeeeeeeee

Answers

Answer:

$1.30

Step-by-step explanation:

91/14/5

It’s $1:30 for you answer it’s correct above. Hope I was right

2.

Jamie used a microscope to measure the diameter of a hair. She found that the

diameter of the hair was 0.000072 meter. How is this number written in scientific

notation?

A. 7.2x10.5

B. 7.2 x 106

C.7.2 x 105

D.7.2 x 10

Type Your

Answers

Answer:

7.2 *10⁻⁵

Step-by-step explanation:

Given the diameter of the hair expressed as 0.000072, we are to express it in scientific notation.

The standard form of scientific notation is expressed as;

A * 10ⁿ

A is a value from 1 to 9

n is any integer.

Rewriting 0.000072 in this form, we will need to shift the decimal point to the front 5 times to have;

0.000072 = 7.2 *10⁻⁵ where;

A = 7.2 and n = -5

Note that the power is a negative value since the value is less than 1.

Can someone please answer number 35

Answers

Answer:

I can't understand.

this is very dark

12 is the correct answer.
12/4=3

A nursery has $55,000 of inventory in dogwood trees and red maple trees. The profit on a dogwood tree is 29% and the profit on a red maple tree is 18%. The profit for the entire stock is 20%. How much was invested in each type of tree?

Answers

Answer:

On dogwood $45,000 was invested

On red maple tree , $10,000 would be invested

Step-by-step explanation:

Let the amount invested on dogwood tree be d and the amount invested on red maple be r

Total is 55,000

Thus;

d + r = 55,000 ••••••(i)

Total profit is;

20/100 * 55,000 = 11,000

Profit on dogwood is;

29/100 * d = 0.29d

Profit on red maple is;

18/100 * r = 0.18r

Both equals 11,000

0.29d + 0.18r = 11,000 •••••••(ii)

From equation i, d = 55,000 - r

substitute into ii

0.29(55,000-r) + 0.18r = 11,000

15950- 0.29r + 0.18r = 11,000

4950 = 0.11r

r = 4950/0.11

r = 45,000

d = 55,000 - r

d = 55,000 - 45,000

d = 10,000

3. Repeat this process to find the width and height of a newer 48-inch television whose

screen has an aspect ratio of 16:9.

Do not include units in your answer - write only the Mumber rounded to the nearest tenth

What is the height?

Answers

Answer:

23.5"

Step-by-step explanation:

Please see attached a sketch of the television

the size of a television is described by the length of its diagonal in inches.

in this case, the diagonal of the television is 48"

we are told that the aspect ratio is 16:9

hence the dimension of the television as seen from the draft is

length= 16x

height=9x

Applying Pythagoras theorem

(16x)^2+(9x)^2= 48^2

256x^2+81x^2=2304

337x^2=2304

divide both sides by 337 we have

x^2=2304/337

x^2=6.8367

x=√6.8367

x=2.6

What is the height

H=9x

=9(2.6)

=23.5"

What is the value of the expression, if p=42?
Then whats p+22

Answers

Answer:

64

Step-by-step explanation:

Answer:

64

Step-by-step explanation:

p=42 and p+22=?

Substitute:

(42)+22=?

Add:

(42)+22=64

Iris wants to buy two necklaces, one for her sister and one for herself. The necklace for her sister costs $42.00, and the necklace for herself costs $28.00. The sales tax on the purchases is 8%. Find the total cost of Iris’s purchases, including sales tax. If necessary, round your answer to the nearest cent.

Answers

Answer:

$75.60

Step-by-step explanation:

First, find the total cost without tax:

42 + 28

= 70

Then, to find the price with sales tax, multiply this by 1.08:

70(1.08)

= 75.6

So, the total cost of her purchases was $75.60

Which system of linear inequalities is represented by this graphed solution?

Answers

Answer:

There is no picture.....

Step-by-step explanation:

what graphed solution?

Charlotte had to distribute 71 dollars among 6 people. What is left with Charlotte after distribution if all six got maximum equal dollars?

Answers

Answer:

5?

Step-by-step explanation:

Write equations (both, Point Slope & Slope Intercept Forms) of the line with
slope of -2 and point (9,2).

Answers

Answer:

Equation of line in Point Slope Form is [tex]\mathbf{y-2=-2(x-9)}[/tex]

Equation of line in Slope Intercept Form is: [tex]\mathbf{y=-2x+20}[/tex]

Step-by-step explanation:

We need to write equation of line having slope -2 and point (9,2)

a) Equation in Point Slope Form

The general equation of point slope form is: [tex]y-y_1=m(x-x_1)[/tex]

Where x₁ and y₁ are the points of line and m is slope.

x₁=9 and y₁=2 and m=-2

Putting values in formula and finding equation:

[tex]y-y_1=m(x-x_1)\\y-2=-2(x-9)[/tex]

So, Equation of line in Point Slope Form is [tex]\mathbf{y-2=-2(x-9)}[/tex]

b) Equation in Slope Intercept Form

The general equation of Slope Intercept Form is: [tex]y=mx+b[/tex]

where m is slope and b is y-intercept

Finding y-intercept using slope m=-2 and point(9,2)

[tex]y=mx+b\\2=-2(9)+b\\2=-18+b\\b=2+18\\b=20[/tex]

The equation in slope m=-2 and b=20 is:

[tex]y=mx+b\\y=-2x+20[/tex]

So, equation of line in Slope Intercept Form is: [tex]\mathbf{y=-2x+20}[/tex]


Find the rate of change

Answers

Answer:

The rate of change of function is: 2

Step-by-step explanation:

Using the given table we have to exclude two pairs of input and output.

The rate of change or slope of function is given as:

[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]

We take first two pairs of input/output from the table

(x1,y1) = (1,11)

(x2,y2) = (2,13)

Putting the values

[tex]m = \frac{13-11}{2-1}\\m =\frac{2}{1}\\m = 2[/tex]

Hence,

The rate of change of function is: 2

Sam wrote his bike 2/5 of a mile and walked another 3/4 of a mile how far did he travel?

Answers

Answer:

1.15 miles

Step-by-step explanation:

Answer:

24/20

Step-by-step explanation:

Changed denominator to 20 since 4 and 5  both go into 20. Got 8/20 and 15/20. Added and got 24/20. As a mixed number it is 1  1/5/ Hope this helps!

Please help with this as soon as you can. No idea how to do it so please help me.

Answers

Answer:

niether i think

Step-by-step explanation:

Suppose that prior to conducting a coin-flipping experiment, we suspect that the coin is fair. How many times would we have to flip the coin in order to obtain a 95% confidence interval of width of at most .18 for the probability of flipping a head

Answers

Answer:

AYOOOOO MONEY CHECK

Step-by-step explanation:

You start at (5, -4). You move down 1 unit. Where do you end?

Answers

Answer:

(5,-5)

Step-by-step explanation:

You're only moving down one number on the y-axis, so you go from -4 to -5, and your x-value remains the same

Geometry please help

Answers

VXW is 68 degrees

You can use the alternate interior angles theorem to put XVW as 52 degrees and then add 52 and 60 up and subtract from 180 since every triangle has 180 degrees

need a math genius to help

Answers

angle 8

You’re welcome

Answer:

Angle 8

Step-by-step explanation:

Angle 8 is the corresponding angle to angle 4. Corresponding angles are angles that are in the same relative position at each intersection. Since the lines are parallel they are also congruent. If you look at the lines both angle 8 and 4 are on the bottom right side of the intersection, therefore they are corresponding angles.

I need some assistance please

Answers

Answer:

2x + y = 20 .     y=3x

2x + 3x = 20

5x = 20

x/5 = 20/5

x = 4

(4,0)

Solve: x=4+(4x-4)1/2

Answers

Answer:

x = 10

Step-by-step explanation:

x = 4 + (4x-4) ^ (1/2)

First, we rewrite the expression:

x = 4 + (4x-4) ^ (1/2)

x = 2 (2+ (x-1) ^ (1/2))

x = 4 + 2 (x-1) ^ (1/2)

From here we get a solution for x = 10

To check it we substitute x = 10 in the expression:

10 = 4 + 2 (10-1) ^ (1/2)

10 = 4 + 2 (9) ^ (1/2)

10 = 4 + 2 (3)

10 = 4 + 6

10 = 10

Answer:

The solution is:

x = 10

Answer:

C. x = 10

Step-by-step explanation:

edgen 2020

16. [-12 Points]

DETAILS

CURRENMEDMATH11 3.S.001.

Solve the equation. A calculator may be used.

Express your answer to the nearest tenth.

0.8 1.4.

X

0.45 1

Express your answer to the nearest hundredth.

1.4

0.8

Х

0.45

=

1

Answers

Answer:

Answer: A. 5:4 Step-by-step explanation: Since the question mentions twelfths of a pie, it is easier to say each pie has 12 pieces or 36 total pieces ordered from the 3 pies. Ty ate 5 and Rob ate 15 which is 3 times more than Ty. A total of 20 pieces have been eaten from the 36 you started with. Eaten = 16. So the ratio is 20:16 which is simplified to = 20 and Remaining 5:4.

help me please click link to go to question

brainly.com/question/19566932?answeringSource=feedPublic%2FhomePage%2F2

Answers

Answer:

okay thank you. ummmm yes well it's not loading

subtract -2/3- (-2/5)

Answers

Answer:

- 4/15

Step-by-step explanation:

The  - and - make a + so -2/3 + 2/5

HOPE THIS HELPS

PLZ MARK BRAINLIEST

Which answer choice shows the decimals in order from greatest to least?

A) 1.234, 1.237, 1.2, 1.48, 2.01
B) 1.2, 1.234, 1.237, 1.48, 2.01
C) 2.01, 1.48, 1.237, 1.234, 1.2
D) 1.2, 1.48, 2.01, 1.234, 1.237

Answers

Answer:

C

Step-by-step explanation:

The highest number here is 2.01, so we start by looking for an answer that begins with 2.01. Then we compare 1.48, 1.237,1.234, and 1.2. Look into the tenths place to find that 1.48 has a larger tenths place than any other number. continue this cycle to have the full correct order.

The time to failure (in hours) of fans in a personal computer can be modeled by an exponential distribution with l=0.0003
a. What proportion of the fans will last at least 10,000 hours?
b. What proportion of the fans will last at most 7000 hours?

Answers

Answer: 0.0497870 ; 0.87754

Step-by-step explanation:

Given that :

λ = 0.0003

Defining a continuous distribution function :

F(x) = 1 - e^-λx = 1 - e^-0.0003x ; x ≥ 0

a. What proportion of the fans will last at least 10,000 hours?

P(x ≥ 10000) = e^-0.0003(10000) = 0.0497870

b. What proportion of the fans will last at most 7000 hours?

P(x ≥ 7000) = 1 - p(x ≤ 7000) = 1 - e^-0.0003(7000)

1 - 0.12245642825 = 0.87754

Write 32 +24 as a product of two factors using the gcf and the distributive property

Answers

Answer:

4 * 14

Step-by-step explanation:

Given

32 + 24

Required

Write as a product of two factors

First, we need to get the GCF of 32 and 24

The factors of 32 and 24 are:

[tex]32 = 1, 2, 4, 8, 16, 32.[/tex]

[tex]24 = 1, 2, 3, 4, 6, 8, 12, 24[/tex]

The GCF (greatest common factor) is 8

So, the expression 32 + 24 can be rewritten as:

[tex]32 + 24= 4(8 + 6)[/tex]

Add 8 + 6

[tex]32 + 24= 4(14)[/tex]

[tex]32 + 24= 4 * 14[/tex]

Hence,

32 + 24 can be rewritten as 4 * 14

Answer:

it is 8 (4+3) !!!! I just did the question! :)

Step-by-step explanation:

What is the equivalent amount in year ten of an expenditure of $5,000 in year one, $6,000 in year two, and amounts increasing by $1,000 per year through year ten?

Answers

Answer:

The correct answer is the equivalent amount is $139,059.41

Step-by-step explanation:

According to the scenario, the computation of the equivalent amount in year ten is shown below;

= $5,000 × (P/A, 10%,10) + $1,000 × (P/G, 10%,10)

= $5,000 × 6.1466 + $1,000 × 22.8913

= $30,723 + $22,891.30

= $53,614.30

Now the equivalent amount is

= $53,614.30 × (F/P, 10%,10)

= $53,614.30 × 2.5937

= $139,059.41

Hence, the equivalent amount is $139,059.41

11.

Charlene and Danielle share some money in ratio 2:3

Danielle gets £25 more than Charlene.

How much does each girl receive?

Answers

Answer:

Charlene got £50

Danielle got £75

Step-by-step explanation:

Let Charlene get x

this means that Danielle will get x + 25

The ratio is thus;

x/x + 25 = 2/3

3x = 2(x + 25)

3x = 2x + 50

3x-2x = 50

x = £50

Charlene got this

The amount Danielle got will be

50 + 25 = £75

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