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Masteriza [31]
3 years ago
10

Each of the 14 students in the art club needs 4 ounces of paint for a project. The art store sells paint only in 8-ounce bottles

. How many bottles of paint does the art club president need to buy for the project?
Mathematics
2 answers:
Agata [3.3K]3 years ago
6 0
Each bottle serves 2 students. He needs to buy 14/2 = 7 bottles.
yulyashka [42]3 years ago
3 0

Answer:  The art club president need to buy 14 bottles of paint for the project.

Step-by-step explanation:  Given that each of the 14 students in the art club needs 4 ounces of paint for a project. The art store sells paint only in 8-ounce bottles.

We are to find the number of bottles of paint that the art club president need to buy for the project.

We will be using the unitary method to solve the given problem.

Number of bottles filled by 8 ounces of paint = 1.

So, the number of bottles filled by 1 ounce of paint is

\dfrac{1}{8}.

So, the number of bottles filled by 4 ounces of paint will be

\dfrac{1}{8}\times4=\dfrac{1}{2}.

Now, number of bottles of paint needed by 1 student =\dfrac{1}{2}.

Therefore, the number of bottles of paint needed by 14 students will be

\dfrac{1}{2}\times14=7.

Thus, the art club president need to buy 14 bottles of paint for the project.

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The red stripe on a barber pole makes two complete revolutions around the pole. The pole is 260 cm high, and 14 cm in diameter.
jok3333 [9.3K]

Answer:

\boxed{\text{274.5 cm; }71.3^{\circ}}

Step-by-step explanation:

If we open the surface of the pole and lay it flat, we will get a rectangle with the red stripe as a diagonal.

l = 260 cm.

The width of the rectangle is enough for two revolutions (i.e., twice the circumference).

w = 2C = 2 × 2πr = 4π × 14/2 = 28π cm = 87.96 cm

Length of stripe

The stripe is the diagonal of the rectangle.

d² = 260² + (28π)² = 67 600 + 87.96² = 67 600 + 7738 = 75 338

d = √(75 338) = 274.5 cm

Angle with horizontal

tanθ = 260/(28π) = 260/87.96 =2.956

θ = arctan2.956

θ = 71.3°

The stripe is \boxed{ \text{274.5 cm}} long and the angle with the horizontal is \boxed{71.3^{\circ}}.

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a tree 20 feet tall with a circumference of 3 ft has a vine wound around 7 times. How long is the vine?
FinnZ [79.3K]

If the tree is 20 feet tall with circumference 3 feet then the length of  vince is around 21 feet.

Given the height of tree is 20 feet and the circumference of tree is 3 feet.

We have to find the length of vine.

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We have been given the circumference of tree be 3 feet.

Circumference=2πr

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4 0
2 years ago
Read 2 more answers
A turtle is 20 5/6 inches below the surface of a pond. It dives to a depth of 32 1/4 inches. What was the change in the turtles
Lana71 [14]
Alrite, so their change is just their difference, namely 32 1/4 - 20 5/6.

let's change those to "improper" fractions first.

\bf 20\frac{5}{6}\implies \cfrac{20\cdot 6+5}{6}\implies \cfrac{125}{6}
\\\\\\
32\frac{1}{4}\implies \cfrac{32\cdot 4+1}{4}\implies \cfrac{129}{4}\impliedby \textit{let's use an LCD of \underline{12}}\\\\
-------------------------------\\\\

\bf \cfrac{129}{4}-\cfrac{125}{6}\implies \cfrac{(3\cdot 129)+(2\cdot 125)}{12}\implies \cfrac{387-250}{12}\implies \cfrac{137}{12}
\\\\\\
\textit{hmmm 12 goes into 137, 11 times, thus}\quad \boxed{11\frac{5}{12}}
\\\\\\
\textit{because}\qquad \cfrac{11\cdot 12+5}{12}\implies \cfrac{132+5}{12}\implies \cfrac{137}{12}
3 0
3 years ago
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