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Sunny_sXe [5.5K]
3 years ago
8

Billy has a gallon of paint. He us going to pour it into a paint tray that measures 10 inches wide, 14 inches long and 4cm deep.

What will happen
Mathematics
1 answer:
erica [24]3 years ago
3 0

Answer:

Tray will overflow with 10.53\ \text{inch}^3 of paint.

Step-by-step explanation:

Dimensions the tray is 10 inch by 14 inch by 4 cm

1\ \text{cm}=\dfrac{1}{2.54}\ \text{inch}

4\ \text{cm}=\dfrac{4}{2.54}\ \text{inch}

Volume the tray can hold is

10\times 14\times \dfrac{4}{2.54}\ \text{in}^3

1\ \text{inch}^3=\dfrac{1}{231}\ \text{gallon}

The volume of paint Billy has is 1\ \text{gallon}

Difference in the volume of paint and volume of tray in cubic inches is

\left(1-\dfrac{10\times14\times\dfrac{4}{2.54}}{231}\right)231=10.53\ \text{inch}^3

The tray will overflow with 10.53\ \text{inch}^3 of paint.

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Drag the choices into the boxes to explain how all real numbers have a decimal expansion. The decimal forms of some real numbers
zvonat [6]

Answer:

\frac{3}{16}

4\frac{2}{11}

\sqrt{5}

Step-by-step explanation:

\sqrt{5}=2.2360679...\\\\\frac{3}{16}=0.1875\\\\4\frac{2}{11}=  \frac{46}{11}=4.18181818...

The decimal forms of some real numbers, like \frac{3}{16}, terminate, while the decimal forms of other real numbers, like 4\frac{2}{11}, do not terminate, but have a repeating pattern. Still other real numbers, like \sqrt{5}, have decimal forms that neither terminate nor repeat.

6 0
3 years ago
Chad has a bag with 2 mint sticks, 11 jelly treats, and 7 fruit tart chews. If he eats one piece every 4 minutes, what is the pr
scoray [572]

Answer:

first you add all the candies together to get 20 in the bag

2+11+7=20

jelly treat:

now we divide 11 by 20 to get a decimal

11/20= .55

multiply .55 by 100 to change it to a percentage

.55*100=55

first part of answer: He has a 55% chance of getting a jelly treat

mint stick:

divide 2 by 20 to get a decimal

2/20=.1

change .1 to a percent by multiplying by 100

.1*100=10

second part of answer: he has a 10% chance of getting a mint stick

Step-by-step explanation:

7 0
3 years ago
What is the distance between 5 and -3
galben [10]

Answer: it think the answer is 8

Sorry if I’m wrong

6 0
3 years ago
Find the area of this rhombus
Vikentia [17]
<h2>Hello!</h2>

The answer is:

The area of the rhombus is equal to 64 squared inches.

area=64in^{2}

<h2>Why?</h2>

Since we already know half of the length of the diagonals of the rhombus, we can calculate the area of the rhombus using the following formula:

area=\frac{diagonal_{1}*diagonal_{2}}{2}

From the image we can see that:

diagonal_{1}=8in+8in=16in

diagonal_{2}=4in+4in=8in

So, substituting, we have:

area=\frac{16in*8in}{2}=\frac{128in^{2} }{2}=64in^{2}

Hence, we have that the area of the rhombus is equal to 64 square inches.

Have a nice day!

7 0
4 years ago
Read 2 more answers
Decreasing 3/4 times a number by 18 is equal to<br> increasing 1/5 times the number by 5.
Naya [18.7K]

Answer:

460/11, rounded to 41.8

Step-by-step explanation:

Let's say that our number is x. The first part states that we decrease 3/4 of a number by 18. Therefore, we find (3/4) of x and subtract that by 18, or (3/4)x-18. That is then equal to increasing (1/5) of x by 5, or (1/5)x+5. Our equation is then (3/4)x-18=(1/5)x + 5.

Adding 18 to both sides, we get (3/4)x = (1/5)x + 23.

Multiplying both sides by 5 and 4 (or 20 as a whole) to remove the denominators, we get that 15x=4x + 460. Subtracting both sides by 4x, we get that 11x=460, and dividing both sides by 11, our answer is rounded to 41.8 (or just 460/11)

Feel free to ask further questions

6 0
3 years ago
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