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german
3 years ago
9

Three gallons of paint are used to paint 16 wooden signs.how much paint did each sign use. Between what two whole numbers does t

he answer lie?
Mathematics
1 answer:
marysya [2.9K]3 years ago
5 0
 Given Question: Three gallons of paint are used to paint 16 wooden signsNow, let's solve how much paint did each sign use and between what two whole numbers does the answer lie?=> 3 gallons of paints : 16 wooden sign.First let's identify how many gallons of paints will it needs to be able to paint a single wooden signs.=> 3 gallons / 16 wooden signs = 0.19 gallons of paint per wooden sign.For the second question, i don't know what you mean. <span>
</span>
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PLEASE HELP AND DO NOT SEND A LINK IF YOU DO YOU WILL BE REPORTED
lana [24]

Step-by-step explanation:

<h2>Answer 1 :</h2>

\to 3 \times  \dfrac{1}{3}  \\  \\  \to\dfrac{3 \times 1}{3} \\  \\ \to\dfrac{3}{3} \\  \\ \to\pmb{1}

<h2>Answer 2 :</h2>

\to5 \times  \dfrac{2}{4}  \\  \\  \to \dfrac{5 \times 2}{4}  \\  \\  \to \dfrac{10}{4}  \\  \\  \to  \dfrac{5}{2}  \\  \\  \to  \pmb{2 \dfrac{1}{2} }

5 0
3 years ago
Read 2 more answers
Julie is a math tutor. She charges each student $210 for the first 7 hours of tutoring and $20 for each additional hour. When th
Nady [450]
A = 210 + 20(h - 7) <== ur equation

if she earns 410 tutoring...
410 = 210 + 20(h - 7)
410 = 210 + 20h - 140
410 = 20h + 70
410 - 70 = 20h
340 = 20h
340/20 = h
17 = h <=== she spent 17 hrs tutoring
8 0
3 years ago
Find the complex fourth roots of 81(cos(3pi/8) + i sin(3pi/8))
BartSMP [9]
By using <span>De Moivre's theorem:
</span>
If we have the complex number ⇒ z = a ( cos θ + i sin θ)
∴ \sqrt[n]{z} =  \sqrt[n]{a} \ (cos \  \frac{\theta + 360K}{n} + i \ sin \ \frac{\theta +360k}{n} )
k= 0, 1 , 2, ..... , (n-1)


For The given complex number <span>⇒ z = 81(cos(3π/8) + i sin(3π/8))
</span>

Part (A) <span>find the modulus for all of the fourth roots
</span>
<span>∴ The modulus of the given complex number = l z l = 81
</span>
∴ The modulus of the fourth root = \sqrt[4]{z} =  \sqrt[4]{81} = 3

Part (b) find the angle for each of the four roots

The angle of the given complex number = \frac{3 \pi}{8}
There is four roots and the angle between each root = \frac{2 \pi}{4} =  \frac{\pi}{2}
The angle of the first root = \frac{ \frac{3 \pi}{8} }{4} =  \frac{3 \pi}{32}
The angle of the second root = \frac{3\pi}{32} +  \frac{\pi}{2} =  \frac{19\pi}{32}
The angle of the third root = \frac{19\pi}{32} +  \frac{\pi}{2} =  \frac{35\pi}{32}
The angle of the  fourth root = \frac{35\pi}{32} +  \frac{\pi}{2} =  \frac{51\pi}{32}

Part (C): find all of the fourth roots of this

The first root = z_{1} = 3 ( cos \  \frac{3\pi}{32} + i \ sin \ \frac{3\pi}{32})
The second root = z_{2} = 3 ( cos \  \frac{19\pi}{32} + i \ sin \ \frac{19\pi}{32})

The third root = z_{3} = 3 ( cos \  \frac{35\pi}{32} + i \ sin \ \frac{35\pi}{32})
The fourth root = z_{4} = 3 ( cos \  \frac{51\pi}{32} + i \ sin \ \frac{51\pi}{32})
7 0
4 years ago
When does a sequence and series become an arithmetic sequence and arithmetic series​?
maria [59]

Answer:

An arithmetic sequence is a sequence of numbers in which the difference between the consecutive terms is constant.

4 0
3 years ago
4.4: Measuring a Picture Frame
BlackZzzverrR [31]
It’s simple, do: 8+8+10+10, just add them you will get 36. The explanation is: Perimeter is add up all the sides, since it is a rectangle it has congruent sides, so they have the same length
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3 years ago
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