Arnie is mixing red and yellow paints to make two different shades of orange. To make 1 cup of dark orange​ paint, he needs 7 ounces of red paint and 1 ounce of yellow paint. To make 2 cups of light orange​ paint, he needs 13 ounces of yellow paint and 3 ounces of red paint. Answer parts a and b.

Answers

Answer 1

Answer:

Arnie has enough red paint

Step-by-step explanation:

step 1

Find out the number of ounces of red paint needed to make 3 cups of dark orange paint

Let

x -----> number of ounces of red paint

y -----> number of ounces of yellow paint

z ----> cups of dark orange

we know that

\frac{x}{z}=\frac{7}{1}\ \frac{ounces\ red\ paint}{cups\ dark\ orange}

z

x

=

1

7

cups dark orange

ounces red paint

so

For z=3 cups

substitute and solve for x

\frac{x}{3}=\frac{7}{1}

3

x

=

1

7

x=21\ ounces\ of\ red\ paintx=21 ounces of red paint

step 2

Find out the number of ounces of red paint needed to make 3 cups of light orange paint

Let

x -----> number of ounces of red paint

y -----> number of ounces of yellow paint

z ----> cups of light orange

we know that

\frac{x}{z}=\frac{3}{2}\ \frac{ounces\ red\ paint}{cups\ light\ orange}

z

x

=

2

3

cups light orange

ounces red paint

so

For z=3 cups

substitute and solve for x

\frac{x}{3}=\frac{3}{2}

3

x

=

2

3

x=4.5\ ounces\ of\ red\ paintx=4.5 ounces of red paint

step 3

Adds the ounces of red paint

21+4.5=25.5\ ounces\ of\ red\ paint21+4.5=25.5 ounces of red paint

25.5\ ounces < 32\ ounces25.5 ounces<32 ounces

therefore

Arnie has enough red paint


Related Questions

Could someone help with 15x-10 factorised

Answers

Answer:

5(3x-2)

Step-by-step explanation:

This is the answer

Answer:

5(3x-2)

Step-by-step explanation:

this is the answer hope it helps...

take the common factor 5 out....

5n = 36

Solve for n

Please show steps thanks so much

Answers

Answer:

n = 7.2

Step-by-step explanation:

I just divided both sides by 5.

5n (÷ 5) = 36 (÷ 5)

n = 7.2 or 7 [tex]\frac{1}{5}[/tex]

You can choose between using the decimal or the fraction.

Answer:

n=7.2

Step-by-step explanation:

=> 5n=36

=> 5n/5 =36/5 [Divide by 5 on both the sides]

=> n=7.2

Hope this helps you.

The table shows the types of movies and the number of DVDs reented by customers at a Red Box in one

Based on the data in the table, what is the probability that a random customer will not rent a drama?

Answers

Answer:

A

Step-by-step explanation:

The probability that a random customer will not rent a drama is 4/5. Option B is correct.

What is probability?

Probability can be defined as the ratio of favorable outcomes to the total number of events.

here,
Total number of rented DVDs = 25 + 36 + 52 + 12 = 125
Number of Drama movies = 25

The probability that a random customer will rent a drama.
P(D) = 25 / 125 = 1/5

Now,
The probability that a random customer will not rent a drama,
P(D)' = 1 - P(D)
       = 1 - 1/5 = 4/5

Thus, the probability that a random customer will not rent a drama is 4/5. Option B is correct.

Learn more about probability here:

brainly.com/question/14290572

#SPJ5

PLEASE HELP

A line goes through the point (2,5) and has a slope of 1.5. What is an equation of this line?

Answers

Answer:

y=1.5x+2

Step-by-step explanation:

y-y1=m(x-x1)

y-5=1.5(x-2)

y=1.5x-3+5

y=1.5x+2

Which expresionnis equlavimnt to the expression below

Answers

4^2•4^4 = 4096

4^6= 4096

Answer: 4^6

What is 2 + 3/8?

Please helpp!!

Answers

Answer: 2 + 3/8 is 2 3/8, 19/8, or 2.375

Step-by-step explanation:

What type of solution is this?
7=7

Answers

Answer:

I'm 99% sure it's infinite solutions

The starting and stopping point for Amir’s run this morning are 0.5 inch apart on the map. If each inch on the map represents 3 miles, how far did Amir run?
One-sixth mile
Two-thirds mile
1One-half miles
6 miles

Answers

Answer:

C. He ran one and a half miles

Answer:

The answer is C, 1 1/2 miles.

Step-by-step explanation:

Multiply 0.5 and 3, and you get 1 1/2!

Hope this helped!

P.S. : Can I get brainliest please?

** I’LL GIVE YOU BRAINLYLIST PLEASE ANSWER **

Answers

The y intercept should be 500 because it is a one time payment that does not need to be repeatedly payed for like the 250. The 250 isn’t the y intercept because it is the slope of the line. Hope this helps. I’m not sure what your drop down menu supplies though

A boat is traveling a distance of 90 km at a speed of 30 km/s, how long will it take to reach its destination?
PLEASE SHOW WORK!

Answers

Answer:

3 sec

Step-by-step explanation:

30 km/s is 30 kilometers per second. There are 90 km. #0 km is 1/3 of 90 km.

Please mark me the brainliest, 5 stars, and a thank you! Have a GREAT day!

Ken is cutting wooden pieces that each measure 2/3 ft long. If ken is cutting from a piece that measures 9 1/3 ft, how many pieces can ken cut

Answers

Answer:

14 pieces

Step-by-step explanation:

Given that the total length available is 9 1/3 ft long and the pieces being cut is 2/3 ft long, the number of pieces that may be cut may be computed by dividing the total length by the length of each piece

= 9 1/3 / 2/3

= 28/3 * 3/2

= 14 pieces

Can someone please help me with this

Answers

Answer:

1)  any positive value other than 8

2) 8

3) impossible, both equation have the smme slope

3(5p - 1) - 4(3p - 7)
Also please explain it as well

Answers

Answer:

3p + 25

Step-by-step explanation:

Let's start with the original expression:

3(5p – 1) – 4(3p – 7)

We need to distribute each constant to the binomial they are multiplying, and when we do that, we get:

15p – 3 – 12p + 28

Why did the 28 turn out positive? We multiplied two negative numbers together, –4 and –7 , and multiplying two negatives always gives us a positive product.

Now, let's rewrite the expression to group like terms together:

15p – 3 – 12p + 28  — marked like terms, constants bold, variables underlined

15p – 12p + 28 – 3  — rewrote the expression to group like terms

Finally, we combine each set of like terms together to get our final answer:

3p + 25  — simplifying

Hope this helps you understand the concept! Have a great day!

3p+25 you just have to distribute and then collect like terms

The equation y = 40x models the number of words that George can type in x
minutes. The table below shows the number of words that Patricia can type in
different amounts of time.
A) Patricia can type 35 more words per minute than George.
Minutes
Words
5
375
525
825
B George can type 35 more words per minute than Patricia.
7
11
Patricia can type 45 more words per minute than George.
George can type 45 more words per minute than Patricia.

Answers

Answer: A Patricia can type 35 more words per minute than George

Step-by-step explanation:

Solve for x.
21 °
х
22

Answers

Answer:

462

Step-by-step explanation:

Help that’s it just help I’ll give brainiest

Answers

Answer:

1725 ft^2

Step-by-step explanation:

[tex]\frac{b_{1} + b_{2}}{2} (h) = \frac{65 + 50}{2} (30) = \frac{115}{2} (30) = 57.5(30) = 1725[/tex]

Brainliest would be appreciated!

To rent a Jet Ski at Sam's it cost $25 plus $3 per hour. Write an equation that represents Sam's charges.

Answers

Answer:

total cost=3(x)+25

Step-by-step explanation:

what is the answer to 7.7w-4.6w

Answers

Answer:

Its simple : 3.1w

Answer:

3.1w

explanation

Someone help this is due today and its worth half my grade!!

Answers

Answer:

I think it's 2

Step-by-step explanation:

25 divided by 5 = 5

10 divided by 5 = 2

A plant is already 54 centimeters tall, and it will grow one centimeter every month. The plant's height, H (in centimeters), after M months is given by the following.
What is the plant's height after 13 months?

Answers

Answer:

67 cm

Step-by-step explanation:

We are given the initial height of the plant let's call it H.

H = 54 cm. This is the original height of the plant at M(months) = 0.

We are given that it grows at 1 cm/month. This is the rate of growth.

Rate = 1

Time (M) is given in Months.

So when M = 0, H = 54

Let's say M = 1, That is one month has passed. In this time the plant's height would have increased by 1 cm. So our plant's height would be H = 54+1 = 55 cm.

When Two months have passed our plant's height would be H = 54 + 2 = 56 cm , since every month our plant gains 1 cm in Height, we can make a fuction for this.

H = 1M + 54.

Now we just plug in 13 for M, to get 13 months.

H = 13 + 54

H = 67 cm

So our plant would be 67 cm in height after 13 months.

what is 500/465 please

Answers

Answer:

1.075

in fraction form 100/93 but they are both equivalent

Step-by-step explanation:

Answer:

100/93

Step-by-step explanation:

decimal form- 1.075

mixed number- 1

7/93

Order Numbers least to greatest -4.3, 5/4 ,8.2, -6/2, 4, -2.5, 5.33

Answers

-4.3,-6/2,-2.5,5/4,4,5.33,8.2

Which equation has infinite solutions for x?

Answers

Answer:

Equation 3

Step-by-step explanation:

please help me, i'll give brainlyest

Answers

The answer would be 6(2+5x)

Hope this helps

Have a great day/night

will give brainliest

Answers

Answer: 65°

Step-by-step explanation:

the answer is 65 because they are supplementary

***PLEASE HURRY TIMED TEST***
***WILL MARK BRAINLEST***
Classify the system of equations.
x= -5 - y
2 + y = -x+3

intersecting
parallel
coincident​

Answers

Answer:Solve x=−5−y;2+y=−x+3

I will solve your system by substitution.

x=−y−5;y+2=−x+3

Step: Solvex=−y−5for x:

Step: Substitute−y−5forxiny+2=−x+3:

y+2=−x+3

y+2=−(−y−5)+3

y+2=y+8(Simplify both sides of the equation)

y+2+−y=y+8+−y(Add -y to both sides)

2=8

2+−2=8+−2(Add -2 to both sides)

0=6

Step-by-step explanation:

Answer:parallel

Step-by-step explanation:

(+6) + (−11) + (+5) + (−7)

Answers

Answer:

-7.

Step-by-step explanation:

By grouping positive and negative terms, we see that (+6) + (−11) + (+5) + (−7) = (6+5) - (11 + 7) = 11 - 18 = -7.

pls help

linear equations

Answers

Answer:

I don’t think nobody can help you here because the picture doesn’t show up, sorry

Answer:

B) y=-x+8

y=2x+5

Step-by-step explanation:

B.  If you substite 1 for x and 7 for y, they both work.

Find the difference and simplify the following
expressions.
(n – 8) – (2n + 2)

Answers

Answer:

-n-10

Step-by-step explanation:

(n-8)-(2n+2)

n-8-(2n+2)

n-8-2n-2

-n-8-2

-n-10

Work out 95% of £30?

Answers

Answer:

the correct percentage is 28.5

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