SHOW WORK

To make purple paint, we need to maintain a 3:2 ratio of red paint to blue paint. Red paint costs $20 a gallon and blue paint costs $25 a gallon. A coupon gives a 10% discount on red paint and a 20% on blue paint. If you have $500 for paint, what is the maximum amount of red blue paint you can buy to make purple paint?

Answers

Answer 1

Answer:

red (w/discount) ... $18 per gallon

blue (w/discount) ... $20 per gallon

(3 n * 18) + (2 n * 20) ≤ 500

54 n + 40 n ≤ 500 ... 94 n ≤ 500 ... n ≤ 5 15/47

3 n = 15 gal red ... 2 n = 10 gal blue


Related Questions

First Brainliest answer​

Answers

Step-by-step explanation:

please mark me as brainlest

Answer:

[tex]\sf \dfrac{2a+1}{6}[/tex]

explanation:

[tex]\hookrightarrow \sf \dfrac{2a-2}{4} -\dfrac{a-4}{6}[/tex]

make the denominator same

[tex]\hookrightarrow \sf \dfrac{3(2a-2)}{12} -\dfrac{2(a-4)}{12}[/tex]

join both fractions together

[tex]\hookrightarrow \sf \dfrac{3(2a-2-2(a-4))}{12}[/tex]

expand the integers

[tex]\hookrightarrow \sf \dfrac{6a-6-2a+8}{12}[/tex]

simplify

[tex]\hookrightarrow \sf \dfrac{4a+2}{12}[/tex]

Final answer

[tex]\hookrightarrow \sf \dfrac{2a+1}{6}[/tex]

(a) Complete the table of values below. Show your work.
x y
-1
0
1



(b) Identify the slope and y-intercept of the equation.
slope =
y-intercept = 0, 5


(c) Choose the graph that matches the equation y = 3x – 5.

Answers

Answer:   y= 3x - 5 + 5 - 5

Step-by-step explanation:  

This table shows the ratio of cups of white paint to cups of blue paint.

A 2-column table has 3 rows. Column 1 is labeled White paint (cups) with entries 1, 3, 5. Column 2 is labeled Blue paint (cups) with entries 8, 24, 40.

Answers

Answer:

6 to 48

Step-by-step explanation:

i just did that question in a test

Answer:

DDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDD

Step-by-step explanation:

Triangle XYZ, with vertices X(-2, 0), Y(-2, -1), and Z(-5, -2), undergoes a transformation to form triangle X′Y′Z′, with vertices X′(4, -2), Y′(4, -3), and Z′(1, -4). The type of transformation that triangle XYZ undergoes is a (1: translation 2 units left and 6 units up, 2: Reflection across the y-axis, 3: Reflection across the x-axis, 4: Translation 6 units right and 2 units down, 5: Dilation by scale factor 2. Choose the Correct answer.

Answers

Answer:

4. Translation 6 unit right and 2 units down.

Step-by-step explanation:

Let' take the point and it's corresponding image.

x(-2,0) and x'(4,-2)

Now,let's find the translation

-2+? =4

0+? =-2

Now, if we solve each for ?, we get

-2+?=4, gives ? =6

0+?=-2 gives ?=-2

It means the translation is move right 6 units and down 2 units.

So, option 4 is right.

what is the formula for the nth term of the given sequence 100, 20, 4, …

Answers

Answer:

[tex]a_n=100 \left(\dfrac15\right)^{n-1}[/tex]

Step-by-step explanation:

General equation of geometric sequence:  [tex]a_n=ar^{n-1}[/tex]

Given:

a₁ = 100a₂ = 20a₃ = 4

[tex]\implies a_1=a=100[/tex]

[tex]\implies a_2=100 \cdot r=20[/tex]

[tex]\implies a_3=100 \cdot r^2=4[/tex]

Common ratio:

[tex]r=\dfrac{a_3}{a_2}=\dfrac{4}{20}=\dfrac15[/tex]

Therefore:

[tex]a_n=100 \left(\dfrac15\right)^{n-1}[/tex]

PLEASE HELP ITS DUE TMRW!!!! I DON'T GET PART B!!!

Answers

To see which amount of tickets is the best deal, look at the unit price of each.

To do this, divide the cost of the tickets by the number of tickets to see how much money a single ticket costs in each of the deals.

$.50/1 = $.50$5.00/12 = $.42 $10.00/25 = $.40$25.00/50 = $.50$50.00/120 = $.42

A) Buying 25 tickets for $10.00 offers the best deal because each ticket is only worth $.40, compared to the other deals where each ticket is worth $.50 or $.42.

B) Usually, businesses offer a better discount the more of a good someone buys due to marketing purposes. I would suggest that the students make the discount higher as the number of tickets increases. Therefore, more people would be willing to buy more tickets and both the consumer and seller will be happy because more discounts (consumer = happy) and more profit (more ticket sales -> business = happy).

Riddle

I AM THE SON OF WATER BUT WHEN I RETURN TO WATER I DIE.

WHO AM I…?

can some one help

Answers

Answer:

I am the son of waterbut when I return to water I die

Ice

-4/5 x (-1 1/3)
math answer

Answers

It should be (1 1/15).

PLEASE HURRY! What is the rate of change of the function? -2 - 1/2 1/2 2
Thank you.

Answers

Answer: -2

Step-by-step explanation: The line has a slope of -2/1, which is just -2.

Answer:

Add 1 1/2 each time

Step-by step explanation

-2 add 1 1/2 is -1/2 then add 1 1/2 to that 1/2, etc

can i get brainliest?

help please I need this done​

Answers

Answer: you will land on tails about 100 times if it is a fair coin

Step-by-step explanation: Hope this helps!

Want MONEY answer this.

Answers

Answer:

2

Step-by-step explanation:

2 lines for each letter is the maximum.

They could be intersecting lines

Sienna is at the store buying pencils. There is a package with 8 pencils that
costs $12 or a package with 5 pencils that costs $8. Which package is the
better buy?
A. The $8 package, because each pencil costs $1.60.
O
B. The $8 package, because each pencil costs $0.63.
C. The $12 package, because each pencil costs $1.50.
O D. The $12 package, because each pencil costs $0.66.

Answers

Answer:

C. The $12 package, because each pencil costs $1.50

Step-by-step explanation:

The answer is C because when dividing the cost by the number of pencils, the amount per pencil is less for the 12 dollar package and you get more pencils.

The answer is c because the pencil costs $1.50

Describe a situation that can be represented by the expression –14 + 5. In other words, make up a math problem that uses this expression to solve it.

Answers

Answer:

is tere a pic?

Step-by-step explanation:

Answer:

[----] means make something up that still makes sense

COPPY ONLY THIS:

[----] took a trip in a submarine. [----] sank 14 yards below sea level. [----] then say a fish above him and rose 5 yards to see it. How many meters below sea level is [----]?

A six-sided die is rolled. What is the probability of NOT rolling a 1 or 6?

Answers

Answer:

[tex]\frac{2}{3}[/tex]

Step-by-step explanation:

"The probability of an event is the number of favorable outcomes divided by the total number of outcomes possible".

Here the number of favorable outcomes is 4, and the number of total outcomes is 6.

So the probability of NOT rolling a 1 or 6 is [tex]\frac{4}{6}[/tex] which is [tex]\frac{2}{3}[/tex]

For the following arithmetic sequence: 4, ___, ____, ____, 24 a)Describe the term-to-term rule.

Answers

Answer: 4,9,14,19,24

The term to term rule is "add 5"

Step-by-step explanation:

From the question,

First term = a = 4

Fifth term = a+(n-1)d = a+(5-1)d = a+4d = 24

Since a + 4d = 24

We slot on the value of a

a + 4d = 24

4 + 4d = 24

4d = 24 - 4

4d = 20

d = 20/4

d = 5

The term to term rule will be "add 5"

The arithmetic sequence will be:

4

4+5 = 9

9+5 = 14

14+5 = 19

19+5 = 24

ten times a number increased by 50​

Answers

Answer:

5 x 10

Step-by-step explanation:

Your saying 10 times a number is increased it by 50 so 10 x 5=50.

The final result will be 55 but the number was still increased 10 times it's value

You could also say it changed bu 50%

Hope it helps have a great afternoon:)

can someone help me with this!!!!!!!!!!!!!!!!!!!!!!!!!!!1

Answers

THE ANSWER IS

(4b+9) ->{whitten as a sum of tree (terms) <-}

OR.

IN (4b+9),4b is a constant.

CORRECT ME IF I AM WHRONG

THANKS.

WHY WILL NO ONE AWNSER ME yall are ufing stu Given that a quadratic function has an a -value of 5 and a vertex of (−7,1), what would be the equation of the function in vertex form.

Answers

Because you spelled answer wrong.

The length of a rectangle is 4 centimeters is longer than its width. What are the possible integral widths if the area of the rectangle is less than 437 square centimetres?

Answers

Answer: 23

Step-step by explanation:

w(w+4)=437

w^2+4w-437=0

(w+23)(w-19)=0

w=19,-23

w<19

l<23!!

The possible integral width of the rectangle is 23.

What is a rectangle?

A rectangle is a quadrilateral having four sides and the sum of the angles is 180 in the rectangle the opposite two sides are equal and parallel and the two sides are at 90-degree angles.

Given that the length of a rectangle is 4 centimeters is longer than its width. The area of the rectangle is less than 437 square centimeters

The width of the rectangle will be calculated as below:-

w(w+4)=437

w²+4w-437=0

(w+23)(w-19)=0

w=19,-23

w <19

w < 23

Therefore, the possible integral width of the rectangle is 23.

To know more about rectangles follow

https://brainly.com/question/25292087

#SPJ2

devide (d^3−3d^2−8)÷(d+6).

Answers

Answer:

[tex]D^{2}[/tex]-9d+54-[tex]\frac{332}{d+6}[/tex]

Step-by-step explanation:

Sammy has a rectangular doormat on her porch. The mat is 4/5 m and long 1/2 m wide. what's the area of the door mat?

Answers

Answer: 2/5

Step-by-step explanation: trust

good evening! Can someone please answer this, ill give you brainliest and your earning 50 points. Would be very appreciated.

Answers

Answer:

-5x² + 2x + 3

Step-by-step explanation:

Since its a trinomial, it has three terms.

Since it has a degree 2, the highest degree is 2 and will usually be the first term.

The coefficient of the first term must have a -5.

Standard form is like  ax² + bx + c

Where a,b, and c are variables.

So,  -5x² + 2x + 3 should work

We know the standard form

ax^2+bx+c=0

Now

a=-5

So the expression is given by

-5x^2+3x+8=0

Functions p and q are defined by these equations: p(x) = 5x + 30 q(x) = 11x − 24 What is (q − p)(6)? A. -42 B. 42 C. 18 D. -18

Answers

Answer

D. -18

Step-by-step explanation:

p ( x ) = 5x + 30, q ( x ) = 11x -24

( q - p ) (6 ) = 11x -24 - ( 5x + 30 )

                  = 11.6 - 24 - 5.6 - 30

                  = 66 - 24 - 30 -30

                  = 42 -30 -30

                  = 12 -30

                  = -18

PLEASE HELP!!!!
Robyn bought a laptop for $1,500. It will depreciate, or decrease in value, by 15%
each year that she owns it.

a. A student writes an explicit formula to represent the value of the computer after n years below. What is the student's error? Explain. (2 points)

Answers

Answer:

an= $,500 (x5) n-1

Step-by-step explanation:

The error is the n-1 because this means a number subtracted by 1 there for it would be 1.500 subtracted by 1 but this info is not needed.

Which statement best describes the expression 2y ÷ 7? (1 point)

2 times y divided by 7
7 divided by 2 times y
7 times y divided by 2
2 divided by 7 times y

Answers

Answer:

I think that it's the first one 2 times y divided by 7

1/3 of 21 bottles of water =

Answers

The answer should be 7 bottles of water

x2 – 5
What is an (input ,output) ordered pair for the function machine shown below ?
A. (-1,-7)
B. (2,-1)
C. (3,1)
D. (5,0)

Answers

Not A because -1^2 - 5 = -4

B because 2^2 -5 = -1


Hope this helped :)

Please help. Parallel lines and proportional parts. Explanation would help.

Answers

Answer:

x = 11

Step-by-step explanation:

Help me ASAP! ANSWER ALL

Answers

Answer:

Step-by-step explanation:

2. I think C

3.D

4.D

5.B

6. D

7.B

8.A

9.A I think

rationalise the denominator√3-√5/√7-√6​

Answers

Answer:

√21 + 3√2 - √35 - √30

Step-by-step explanation:

Given :-

√3 - √5 / √7 - √6

Solving :-

= √3 - √5 (√7 + √6) / √7 - √6 (√7 + √6)

= √21 + √18 - √35 - √30 / 7 - 6

= √21 + 3√2 - √35 - √30

Solution :-

√21 + 3√2 - √35 - √30

Answer:

⇒√21+√18-√35-√30

Step-by-step explanation:

[tex]\frac{\sqrt{3}-\sqrt{5} }{\sqrt{7}-\sqrt{6} } \\\\\frac{\sqrt{3}-\sqrt{5} }{\sqrt{7}-\sqrt{6} }*\frac{{\sqrt{7}+\sqrt{6} }}{{\sqrt{7}+\sqrt{6} }} \\\\\frac{(\sqrt{3}-\sqrt{5})*(\sqrt{7}+\sqrt{6} ) }{(\sqrt{7})^{2}-(\sqrt{6})^{2} } } \\\\\frac{\sqrt{21}+\sqrt{18} -\sqrt{35}-\sqrt{30} }{7-6}\\\\\sqrt{21}+\sqrt{18} -\sqrt{35}-\sqrt{30}[/tex]

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