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Alchen [17]
3 years ago
15

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 ou

nces 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.
a. Arnie buys a​ 32-oz can of red paint. Does he have enough red paint to make 3 cups of dark orange paint and 3 cups of light orange​ paint? Explain.
Yes.
The 3 cups of dark orange paint require
21
21 ​ounce(s) of red​ paint, and the 3 cups of light orange paint require
9
4.5 ​ounce(s) of red paint. Arnie needs
30
25.5 ​ounce(s) of red paint in​ total, so the​ 32-oz can is
enough.
​(Type integers or​ decimals.)
b. Arnie decides to make 3 cups of dark orange paint and 3 cups of light orange paint. How many ounces of yellow paint does he​ need?
Arnie needs
4216
nothing ​ounce(s) of yellow paint. The 3 cups of dark orange require
3
3 ​ounce(s) of yellow​ paint, and the 3 cups of light orange require
391313
nothing ​ounce(s) of yellow paint.
​(Type integers or​ decimals.)
Mathematics
1 answer:
katrin2010 [14]3 years ago
7 0

Answer:

Integers and decimals

Step-by-step explanation:

Soorry im too lazy to read all this

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the owner of an aquatic store used 17 1/2 gallons of water to fill aquariums. he puts 5 5/6 gallons of water in each aquarium. h
BabaBlast [244]
I have absolutely no idea. sorry that i didn’t answer but thanks for the second answer that i needed to ask my question. i’m stupid do i have no idea what it’s asking. sorry
6 0
3 years ago
To solve the equation 5sin(2x)=3cosx, you should rewrite it as___.​
galina1969 [7]

Answer:

A

Step-by-step explanation:

We want to solve the equation:

5\sin(2x)=3\cos(x)

To do so, we can rewrite the equation.

Recall the double-angle for sine:

\sin(2x)=2\sin(x)\cos(x)

By substitution:

5\left(2\sin(x)\cos(x)\right)=3\cos(x)

Distribute:

10\sin(x)\cos(x)=3\cos(x)

We can subtract 3cos(x) from both sides:

10\sin(x)\cos(x)-3\cos(x)=0

And factor:

\cos(x)\left(10\sin(x)-3\right)=0

Hence, our answer is A.

*It is important to note that we should not divide both sides by cos(x) to acquire 10sin(x) = 3. This is because we need to find the values of x, and one or more may result in cos(x) = 0, and we cannot divide by 0. Hence, we should subtract and then factor.

5 0
3 years ago
Read 2 more answers
Aaaaaa help I’m stuck at F I really need to do this so I could get a D please with explanation
Fed [463]

Answer:

$1.51

Step-by-step explanation:

1.25 lb. of dried fruit  :  \frac{\$1.84}{lb.}*\frac{1.25\ lb.}{1}=\$2.30

0.5 lb. of cereal  :  \frac{\$2.38}{lb.}*\frac{0.5\ lb.}{1}= \$1.19

Cost = $2.30 + $1.19 = 3.49

Money = $5

$5 - $3.49 = $1.51 in change

5 0
3 years ago
Lina spent 1/3 of her money. She now has $20 left. How much money did she have originally
PSYCHO15rus [73]

Answer:

60

Step-by-step explanation:

1/3 of 60 is 20

in other words

20 x 3 = 60

8 0
3 years ago
Read 2 more answers
Need help ASAP. i forgot all the steps after the Area is solved with 5. or if 25pi is the right answer.
maxonik [38]

Answer:

42.5\:\mathrm{m^2}

Step-by-step explanation:

The area of a sector with measure \theta in degrees is given by r^2\pi\cdot\frac{\theta}{360}, where r is the radius of the sector.

What we're given:

  • r of 5
  • \theta of 195^{\circ}

Solving, we get:

A_{sector}=5^2\pi\cdot \frac{195}{360}=13.5416666667\pi=42.5424005174\approx \boxed{42.5\:\mathrm{m^2}}

*Notes:

  • units should be in square meters (area)
  • the problem does not say whether to round or leave answers in term of pi, so you may need to adjust the answer depending on what your teacher specifically wants
7 0
3 years ago
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