Solve the equation for y
[tex] \frac{2}{5}x + y = 3[/tex]

Answers

Answer 1

multiply both sides of the equation by 3.

2x+3y=9

move variable to the right side and change its sign

2x=9-3y

divide both sides of the equation by 2

x=9/2-3/2y


Related Questions

Which of the following is not example of a type of savings vehicle?Certificate of deposit (CD)
Money Market Account
Checking Account
Savings Account

Answers

Checking Account

it should be that


The account which is not the example of the type of savings vehicle is Checking Account. Thus option 3rd is correct.

What are the 3 types of savings?

The three kinds of the saving account are regular deposit, money market, and Certificate of Deposits. There is a difference in all the three types in terms of the accessibility and amount of interest.

The Checking account is the account which carries the day to day transactions of the money. It ensures the easy access to the money. Many of the people generally uses the debit card or the checks to make the purchases.  Thus option 3rd is correct.

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Graph the slow intercept equation: y=2/3x-2

Answers

Remark

The slope intercept graph needs a table like the one provided by the graph shown below.

A sample calculation would look like this

y = (2/3)x - 2  Let x = 6 (which is not plotted on the graph).

y = 2/3 * 6 - 2   The 3 will divide into the 6 two times

y = 4 - 2

y = 2

So you would plot this as (6,2)

A subway in New York is located at 25 feet below sea level. In Chicago a train is 27 feet above sea level. How much higher is the train than the subway?

Answers

All you have to do is add 25+ 27= 52

at a chess tournament the number of competitors in each round is 50% of the number of competitors in the previous round. What type of relationship most appropriately models this situation?

exponential growth
linear increase
linear decrease
exponential decay

Answers

This type of relationship is exponential decay

Exponential decay. Hop this helps

Three fourths ÷ one fourth

Answers

When you divide by a fraction, you are multiplying by the reciprocal.

(The reciprocal is the fraction but "flipped")

So

[tex]\frac{3}{4} \div \frac{1}{4} = \frac{3}{4} * \frac{4}{1} = 12/4 =3[/tex]

The way I did this was made everything decimals so .75/.25 and it equals 3

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Which equation correctly applies the distributive property?

A. −1.2⋅0.57⋅0.5=−1.2⋅0.5⋅0.57​

B. −2.5⋅(4⋅1.045)=(−2.5⋅4)⋅1.045 ​

C. (0.5⋅0.5)+(0.5⋅0.3)+(0.5⋅0.2)=0.5⋅(0.5+0.3+0.2) ​

D. ​ 50+1.015=(50⋅1)+(50⋅0.01)+(50⋅0.005) ​

Answers

The answer is choice C

On the left side we have something in the form a*b+a*c+a*d

On the right side we have something in the form a*(b+c+d)

All together, we have a*b+a*c+a*d = a*(b+c+d), where the letters a,b,c,d are to be replaced with the proper values (0.5, 0.5, 0.3, and 0.2 in that exact order).

The idea of distribution is to multiply the outer value 0.5 by each of the values inside the parenthesis (0.5, 0.3, and 0.2) and add up the products.

Equation C and D that is (0.5⋅0.5)+(0.5⋅0.3)+(0.5⋅0.2)=0.5⋅(0.5+0.3+0.2) and 0+1.015=(50⋅1)+(50⋅0.01)+(50⋅0.005) ​applies the distributive property correctly as defined "multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together".

What is distributive property?

The distributive law, which states that in elementary algebra, equality is always true, is generalized by the distributive property of binary operations. For instance, in basic mathematics, one has to According to one, addition is distributed more evenly than multiplication. In order to quickly solve expressions, a number is distributed among the numbers in the brackets. When using the distributive property of multiplication, for instance, to resolve the expression 4(2 + 4), we would do so as follows: 4(2 + 4) = (4 × 2) + (4 × 4) = 8 + 16 = 24.

The distributive property states,

A × (B + C) = AB + AC

for equation C

(0.5⋅0.5)+(0.5⋅0.3)+(0.5⋅0.2)=0.5⋅(0.5+0.3+0.2) ​

for equation D,

50+1.015=(50⋅1)+(50⋅0.01)+(50⋅0.005)

According to the definition of the distributive property, which states that "multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together," Equations C and D, which are correctly applied that is (0.5⋅0.5)+(0.5⋅0.3)+(0.5⋅0.2)=0.5⋅(0.5+0.3+0.2) ​and 50+1.015=(50⋅1)+(50⋅0.01)+(50⋅0.005).

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Pls help I’ll put in 25

Answers

given -2(x + 1) = 5x + 4 - x ( distribute left side )

-2x - 2 = 4x + 4 ( simplifying both sides )

subtract 4x from both sides

- 6x - 2 = 4 ( add 2 to both sides )

- 6x = 6 ( variable by itself on left side )

divide both sides by - 6

x = [tex]\frac{6}{-6}[/tex] = - 1

as a check, substitute x = - 1 into the equation and if both sides are equal then it is the solution.

left side = - 2(-1 + 1 ) = - 2 × 0 = 0

right side = (5 × - 1) + 4 - (- 1) - 5 + 4 + 1 = 0

hence x = - 1 is the solution



find three consecutive integers with a sum of 24

Answers

7,8,9
________________

The three consecutive numbers that can be equal to 24 are 7,8,9

7+8+9=24

how would you find the ordered pair for point H

Answers

B, but in reality all of those methods would work

Marissa bought 12.8 pounds of potatoes at $1.35 per pound. How much did Marissa spend for the potatoes? Explain

Answers

12.8 * 1.35 =17.28

Therefore Marissa spent $17.28 on potatoes.

Kim rented a bike from Kayla’s bikes. It cost $20 Plus $8 per hour. If Kim paid $52, then she rented the bike for how many hours?

Answers

x = the number of hours

write an equation of the problem: 8x + 20 = 52

subtract 20 from each side: 8x = 32

divide each side by 8: x = 4

she rented the bike for 4 hours.

$52 minus 20 which is 32 then divide 32 by 8 and you get 4. Therefore Kim rented the bike for 4 hours.

solve inequality -12 < 3x- 15 < 9
[tex] - 12 \leqslant 3x - 15 \leqslant 9[/tex]

Answers

[tex]-12\leq3x-15\leq9\qquad|+15\\\\3\leq3x\leq24\qquad|:3\\\\1\leq x\leq8[/tex]

plz answer 17 16 and 18 show work

Answers

16. 5(7)+13 /8

35+13/8
48 /8

6 is the answer for 16

17. 45+40= 85
85 is the answer

18. I don’t see 18

What is the slope of the perpendicular line x-2y=12

Answers

Hey there!!

Slope-intercept form :

y = mx + b

m is the slope and b is the y-intercept.

Given equation :

x - 2y = 12

We will have to isolate the y.

... x - 2y = 12

... -2y = x - 12

... y = ( x - 12 ) / -2

... y = x / - 2 + 6

Hence, the slope is -1/2

Hope my answer helps!


What is the area, in square feet, of a section of pavement that is 20 ft wide and 100 yd long?
a. 6,000 ft2
b. 2,000ft2
c. 640 ft2
d. 240 ft2

Answers

It is b 2,000ft2 because 20ft x 100yd is 2,000ft

Answer:

Correct option is:

a. 6,000 ft²

Step-by-step explanation:

A pavement is 20 ft wide and 100 yd long

1 yd= 3 ft

100 yd = 300 ft

we have to find the area of pavement

Area= Length × Width

       = 300 ft × 20 ft

       = 6000 ft²

Hence, Correct option is:

a. 6,000 ft²

Give me a short answer only plz

Answers

-2x^6 That is pertty short :)


I believe the answer is -2x⁶

i need help please i dont know how to do this?

Answers

Just put 6 in place of p and solve it

f(x) = 1 x g(x) = x − 4 Can you evaluate (g ○ f)(0)? Explain why or why not.

Answers

Answer:

To evaluate the composition, you need to find the value of function f first. But, f(0) is 1 over 0, and division by 0 is undefined. Therefore, you cannot find the value of the composition.

Step-by-step explanation:


NO, because the resulting function for (g ○ f)(0) tends to infinity

An undefined term or function is a term or function that does not exsit.

A composite function is a function that is placed in another function.

Given the functions

f(x) = 1/x g(x) = x − 4

Before we can calculate the composite function (g ○ f)(0), we ned to first calculate (g ○ f)(x) as shown:

(g ○ f)(x) = g(f(x))

g(f(x)) = g(1/x)

Substitute x as 1/x in g(x) as shown:

[tex]g(f(x)) =g(\frac{1}{x} )\\g(\frac{1}{x} )=(\frac{1}{x}-4 )\\Find \ the \ LCM\\g(\frac{1}{x} )=(\frac{1-4x}{x} )\\[/tex]

NExt is to check whether we can evaluate (g ○ f)(0) by substituting x = 0 into the resulting function as shown:

[tex]g(f(0) )=(\frac{1-4(0)}{0} )\\g(f(0) )=(\frac{1}{0} )\\g(f(0) )=\infty[/tex]

We can see that the resulting function tends to infinity which shows that g ○ f)(0) cannot be evaluated.

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the length of rectangle is 17cm more than double the width. the perimeter is 76cm

Answers

17×2= 34
76-34= 40

2x=40
x= 20

Legth: 17
Width: 20

Jim decided to go for a drive in his car. He started out at 0 miles per hour(mph). He then accelerated 20 mph down his street. Then, to get on the highway he accelerated another 35 miles per hour. A car was going slow in front of him so he slowed down 11 mph. He then go off the highway, so he slowed down another 7 mph. At what speed was he driving?

Answers

Answer:

37 mph

Step-by-step explanation:


if he starts at 0 then goes to 20 then add another 35 which gives you 55mph then he slows down you decrease 11 which is 44 then decrease again 7 gives you 37mph

Answer:

37 mph

Step-by-step explanation:

if he starts at 0 then goes to 20 then add another 35 which gives you 55mph then he slows down you decrease 11 which is 44 then decrease again 7 gives you 37mph

What is the value of x?

Answers

This is an isosceles triangle. Therefore |AC| = |BC|.


2x = 3x - 5     |subtract 3x from both sides

-x = -5       |change the signs

x = 5

About how much farther away from the Sun is Earth than Mercury? Write your answer in standard form and scientific notation.

The approximate distance from each planet to the Sun is given below.
Mercury: 35,983,610
Earth: 92,957,100
Neptune: 2,798,842,000

Answers

Move the decimal until its below 10 and greater than 1:

Mercury: 3.5 x 10^7

Earth: 9.2 x 10^7

Neptune: 2.7 x 10^9

hope this helps :)

Ram is twice as old as Sheeta. Five years ago his age was three times the age of Sheeta. Then the age of Sheeta is

Answers

I'm pretty sure it's 6

Final answer:

Using the information that Ram is twice as old as Sheeta and that five years ago his age was three times the age of Sheeta, we solve the equation 2S - 5 = 3(S - 5) to find that Sheeta's current age is 10 years old.

Explanation:

The question involves creating equations based on the given information to solve for Sheeta's age. Let's denote Sheeta's age as 'S' and Ram's age as '2S' since Ram is twice as old as Sheeta. According to the second statement, five years ago Ram's age was three times Sheeta's age at that time. Therefore, we can write the equation as 2S - 5 = 3(S - 5).

Solving the equation step-by-step:

This simplifies to -S = -10

Hence, Sheeta's current age is 10 years old.

What is the density of a material that has a mass of 2,500 grams and volume of 500 cubic centimeter, in grams per cubic centimeter

Answers

Answer:

Density of the material is 5 grams per cubic centimeter.

Step-by-step explanation:

The answer is required to be given in grams per cubic centimeter.

So we should first convert the values to match the units.

Mass is given as 2500 grams so we don't need to change the units.

Volume is given in cubic centimeters. So we don't need to change the units.

Density      = [ Mass of the material / Volume of the Solvent]

                  =2500 grams / 500 cubic centimeters

                  =5 grams per cubic centimeter

7 x 4 x ?? =2,800 and 7 x 4 x ?? =28,000

Answers

7x4x100=2800
7x4x1000=28,000
Hey there! 1..........................................................................................[tex](7*4)[/tex] [tex] * x [/tex] = [tex]2,800[/tex][tex]7(4) =[/tex] [tex]28[/tex][tex]\frac{2,800}{28}[/tex] = [tex]100[/tex][tex]x = 100[/tex]Answer: [tex]100[/tex]2.........................................................................................[tex](7*4)[/tex] [tex]* p[/tex] = [tex]28,000[/tex][tex]7(4) = 28[/tex][tex]\frac{28000}{28}[/tex] = [tex]1000[/tex][tex]p = 1000[/tex]Answer: [tex]1000[/tex]Good luck on your assignment and enjoy your day! ~[tex]LoveYourselfFirst:)[/tex]

Evaluate the expression –0.4(3x – 2) + for x = 4

Answers

The expression evaluates to -4 when x equals 4.

To evaluate the expression –0.4(3x – 2) + for [tex]\( x = 4 \)[/tex], follow these steps:

1. Substitute the value of [tex]\( x \)[/tex] into the expression.

2. Perform the arithmetic operations according to the order of operations (PEMDAS/BODMAS).

Here's the step-by-step calculation:

Given expression: [tex]\(-0.4(3x - 2) +\)[/tex]

Substitute [tex]\( x = 4 \)[/tex]:

[tex]\(-0.4(3(4) - 2) +\)[/tex]

Now, simplify inside the parentheses first:

[tex]\(-0.4(12 - 2) +\)[/tex]

[tex]\(-0.4(10) +\)[/tex]

Next, multiply [tex]\(-0.4\)[/tex] by [tex]\( 10 \)[/tex]:

[tex]\(-4 +\)[/tex]

Finally, there's no more to compute since there's no other term. So the result is:

[tex]\(-4\)[/tex]

Therefore, the value of the expression [tex]\(-0.4(3x - 2)\)[/tex] when [tex]\( x = 4 \)[/tex] is [tex]\( -4 \)[/tex].

[tex] \frac{3}{4} q - 7 = 8[/tex]
Please help me out by answering this and please show your work...

Answers

[tex]\frac{3}{4}q[/tex] - 7 = 8

     +7   +7

[tex]\frac{3}{4}q[/tex] = 15

[tex]4(\frac{3}{4}q)[/tex] = 4(15)

3q = 60

[tex]\frac{3q}{3} = \frac{60}{3}[/tex]

q = 20

Answer: q = 20

Ruben has 6 new books for his collection. This increases his collection by 12%? How many books does he have now?

Answers

Ruben has 6 new books for his collection. This increases his collection by 12%

Let x be the number of books Ruben has before 6 new books added

x + 12% of x = x+6

x + 0.12x = x+6

1.12 x = x+6

Subtract x on both sides

0.12x = 6

Divide by 0.12

x = 50

6 new books are added for his collection

So 50 + 6 = 56

He have 56 books now.

9 minutes!!!!!!!!!!!!!!!

Answers

Substitute y = x - 4 to the first equation:

-3x + 4(x - 4) = -20     use disrtibutive property

-3x + (4)(x) + (4)(-4) = -20

-3x + 4x - 16 = -20     add 16 to both sides

x = -4

Substitute the value of x yo the equation y = x - 4:

y = -4 - 4 = -8

Answer: (-4, -8)

what is 22 + 5d = -8(7d-4)

Answers

22+5d=-8x7d=56d+ -8x-4=32

22+5d=-56d+32

22+32=54 and -56d+5d=-51d

The answer would be 51d+54

Remark

The steps are the same usually. Remove the brackets and collect like terms on each side of the equal sign.

Solution

22+5d = -8(7d - 4)          Remove the brackets.

22+5d = -56d + 32        Notice the sign change on 32. 2 minus quantities = a plus when multiplied.  Add 56d to both sides.

22 + 5d + 56d = - 56d + 56d + 32

22 + 61d = 32                  Subtract 22 from both sides.

61d = 32 - 22

61d = 10                            Divide by 51

d = 10/61

d = 0.1639  Answer

Check

LHS

22 + 5*0.1639 = 22.8197

RHS

-8(7*0.1639 - 4)

-8(1.1473 - 4)

-8(-2.8527)

22.8216    

The difference is a rounding error.



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