Solve for the equation for y: 3/2 y + 12 = 7/5 y-20

Answer:

36 bottles for $4

Step-by-step explanation:

First you need to calculate the price for one bottle, the lower the cost, the better buy. Do this by dividing the price by the amount of bottles:

= $3 ÷ 24

= 0.125 cents

= $4 ÷ 36

= 0.111 cents

The cheaper option and the better buy is the 36 bottles for $4.

Answer:

y = 1/ 2 x − 8

Step-by-step explanation:

Find the negative reciprocal of the slope of the original line and use the point-slope formula  

y − y 1 = m ( x − x 1 )  to find the line perpendicular to  y = − 2 x + 1 .

Answer:

x=y/2+2

Step-by-step explanation:

Answer:

x-12

Step-by-step explanation:

2+2 = 4 so if multiply that to 3 it will equal 12. After that it will be (x-12)

Answer:

1846 - 21.37% increase

1847 - 7.75% decrease

1848 - 9.92% increase

Hope this helps!

Answer:

11

Step-by-step explanation:

f(t) = 2t - 3

substitute t for 7

f(7) = 2*7 - 3

f(7) = 14 - 3

f(7) = 11

Answer:

The other number is 14

Hope this helps (:

Answer:

35

Step-by-step explanation:

Let's make an equation. Suppose the "number" is x.

2(x)+16=86

Subtract 16 from both sides

2x=70

Divide by 2 on both sides

x=35

Answer:

I assume you can do the simple calculations to get the full answer

Step-by-step explanation:

If you have any questions about the way I solved it, don't hesitate to ask me in the comments below :)

Answer:

48 rows

Step-by-step explanation:

Answer:

werid options but 24

Step-by-step explanation:

Answer:

Options (C) and (E)

Step-by-step explanation:

Given polynomial is,

6x⁴+ 4x³- 7x² + 5x + 8

So all the polynomials which are (look alike) similar in terms of degree and number of terms to the given expression will be equivalent.

Option (A).

[tex]16x^{10}[/tex]

It's a monomial. So not the answer.

Option (B).

6x⁵ + 4x⁴ - 7x³ + 5x² + 8

This polynomial is a 5th degree polynomial, will not be equivalent to the given polynomial expression with 4 degree.

Option (C).

6x⁴ + 4x³ - 7x² + 5x + 8

All the terms and signs between the terms of this expression are similar to the given polynomial expression,  

Expression will be equivalent to the given polynomial expression.

Option (D)

8 + 5x + 7x² - 4x³ + 6x⁴

= 6x⁴- 4x³ + 7x² + 5x + 8

Both are similar in number of terms and degree but signs between the terms are different.

Therefore, both the expressions are will not be equivalent.

Option (E).

8 + 5x - 7x² + 4x³ + 6x⁴

= 6x⁴ + 4x³ - 7x² + 5x + 8

Since, both the polynomials are similar so they are equivalent.

Answer:

markup = 95 * .20 = 19

price + markup = sale price

             95 + 19 = 114

Answer:

no

Step-by-step explanation:

Answer:

sec²x

Step-by-step explanation:

Using the trigonometric identity

tan²x + 1 = sec²x

9514 1404 393

Answer:

  sec² x

Step-by-step explanation:

It is a trig identity that ...

  tan² x + 1 = sec² x

_____

If you like, you can convince yourself of this using the usual equivalents for tan and sec:

  tan² x + 1 = sin² x/cos² x +1 = (sin² x + cos² x)/cos² x = 1/cos² x = sec² x

Answer:

Amount of 22% acid solution needed = 29 ml

Amount of 8% acid solution needed = 72 ml

Step-by-step explanation:

Let x=amount of 22% solution needed

Then 101 - x= amount of 8% solution needed

The pure acid in the 22% solution (0.22x) plus the amount of pure acid in the 8% solution 0.08(101 - x) has to equal the amount of pure acid in the final mixture (0.12*101).

The equation to solve is:

0.22x + 0.08(101 - x) = (0.12*101)

0.22x + 8.08 - 0.08x = 12.12

0.14x = 12.12 - 8.08

0.14x = 4.04

x = 4.04 / 0.14

= 28.86

x = 29 ml to the nearest ml

Amount of 22% acid solution needed = 29 ml

Amount of 8% acid solution needed = 101 - x

= 101 - 29

= 72ml

Answer:

c

Step-by-step explanation:

Answer: x^2+3x+5

Step-by-step explanation:

Substitute (x+4) in so that you get f(x)=(x+4)^2-5(x+4)+9. Then expand so you get x^2+8x+16-5x-20+9. Now simplify and you get x^2+3x+5. That is your final answer.

Answer:

89

Step-by-step explanation:

Answer:

Thus, the y-intercept of the line is 7

Step-by-step explanation:

One given line can be expressed with the slope-intercept form as follows:

[tex]y=mx+b\qquad\qquad [1][/tex]

Where m is the slope of the line and b is the y-intercept.

We are given the following equation of the line:

7x-4y=-28

Let's transform the equation to look like the slope-intercept form [1].

Subtract 7x:

-4y=-7x-28

Divide by -4:

y=7/4x+7

Comparing with the equation [1]:

m=7/4

b=7

Thus, the y-intercept of the line is 7

Answer:

8:20

Step-by-step explanation:

you just ads 20 minutes to 8:00

Answer:

Total area of paint = 110 ft²

Step-by-step explanation:

Given:

Measurement of wall = 10 feet tall by 13 feet wide

Measurement window = 2.5 feet wide by 4 feet tall each

Find:

Total area of paint

Computation:

Total area of paint = Area of wall - 2[Area of window]

Total area of paint = [10 x 13] - 2[2.5 x 4]

Total area of paint = [130] - [20]

Total area of paint = 110 ft²

The area of the wall Brenda is going to paint = 110 sq. ft.

Recall:

Given:

Measurement of the wall = 10 feet tall by 13 feet wide

Area of the wall = 10 × 13 = 130 sq. ft

Measurement of a window = 2.5 feet wide by 4 feet tall

Area of a window = 2.5 × 4 = 10 sq. ft

The windows won't be painted, therefore, the area of the wall that Brenda is going to paint = Total area of the wall - 2(Area of a window)

Area of the wall to be painted = 130 - 2(10)

Learn more about area of rectangle on:

https://brainly.com/question/25292087

Answer:

18.8

Step-by-step explanation:

just multiply 9.4 by 2

Answer:

$145 - $105 ≤ $40

Step-by-step explanation:

Amount earned = $145

Amount to save = $105

Amount to spend, s = $145 - $105

= $40

The inequality is

Amount earned - Amount to save ≤ Amount to spend

$145 - $105 ≤ s

$145 - $105 ≤ $40

Answer:

x = 4

Step-by-step explanation:

Complete question :

Trevor plans on buying a car. Four banks offer the annual interest rates shown.

Which list shows these interest rates in order from greatest to least

3 1/10%, 3 2/5%, 3 1/4%, 3 1/3%

Answer:

3 2/5% ; 3 1/3% ; 3 1/4% ; 3 1/10%

Step-by-step explanation:

Arrange the given interest rates in order ; greatest to least :

To make comparison easier, we can convert the fractional values to decimal ;

3 1/10%, 3 2/5%, 3 1/4%, 3 1/3%

3 1/10% = 3 + (1/10 = 0.1) = 3 + 0.1 = 3.1%

3 2/5%, = 3 + (2/5 = 0.4) = 3 + 0.4 = 3.4%

3 1/4%, = 3 + (1/4 = 0.25) = 3 + 0.25 = 3.25%

3 1/3% = 3 + (1/3 = 0.333) = 3 + 0.333 = 3.33%

Hence, arranging in descending order (greatest to least) :

3 2/5% > 3 1/3% > 3 1/4% > 3 1/10%

3 2/5% ; 3 1/3% ; 3 1/4% ; 3 1/10%

Answer:

An equivalent expression  would be 2(3a+6)

Answer:

Step-by-step explanation:

Given that the dimension of the room is

354in by 714in

let us find the area of the room

A=354x714

A=252,756in^2

The rule say 1 person occupies 3 in^2

hence x person will occupy 252,756in^2

cross multiply we have

3x=252,756

x=252,756/3

x=84252 persons will occupy the room

Answer:

X= 128º

Step-by-step explanation:

A triangle is stated to have 180º. This means that since we know 2 sides of the triangle you can simply subtract them from one another.

Doing this you would get: 180 - 90 - 38 = 52º

Noticing that X is on a straight line, this would result in the fact that X is on a line of 180º.

Subtracting the angle we found in the triangle would result you with the answer of:

180 - 52 = 128º for the value of X

Answer:

The trip will take 4.8 hours

Step-by-step explanation:

Firstly, we need to calculate the distance from Boston to Washington

Mathematically:

Distance = speed * time

Distance = 80 mph * 6 hours = 480 miles

Now we want to calculate the time it will take a train that travels at a speed of 100 mph

Mathematically;

time = distance/speed

time = 480/100 = 4.8 hours