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german
3 years ago
11

WHOEVER ANSWERS THIS I WILL MARK AS BRAINLIEST PLEASE HELP A bottle of sugar syrup soda had 4 ⅓ grams of sugar in it. If Tom dra

nk 3 full bottles and 7/9 of a bottle, how many grams of sugar did he drink?
Mathematics
2 answers:
gogolik [260]3 years ago
8 0

Answer:

16\frac{10}{27} \mbox{g}

Step-by-step explanation:

This is essentially a multiplication problem! We have

4\frac{1}{3} \mbox{g sugar/bottle} \times3\frac{7}{9} \mbox{ bottles}

Let's start by figuring out the number of grams in 3 bottles. If one bottle has 4 1/3 g of sugar, 3 bottlesshould have 4 × 3 = 12g plus another 1/3 × 3 = 1g, for a total of 12 + 1 = 13g. Taking 7/9 of 4 1/3g, we have

4\frac{1}{3} \times\frac{7}{9}=\frac{13}{3}\times\frac{7}{9} =\frac{91}{27}=3\frac{10}{27}\mbox{g}

Adding that to the 13g from the 3 bottles gives us a total of 13 + 3 10/27 = 16\frac{10}{27} \mbox{g}

Scilla [17]3 years ago
7 0

Answer:

Its 16 and \frac{10}{27}

Step-by-step explanation:

do \frac{13}{3}*\frac{34}{9} to get 16 \frac {10}{27}

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Miguel wants to build a container out of sheet metal that has a volume of about 320 cubic inches . He
ZanzabumX [31]

Answer:

  cylinder, has the least surface area

Step-by-step explanation:

We are to choose the shape that has the least surface area for the approximate volume desired. In general, the least area for the volume will be provided by a sphere, a "square" cylinder with height equal to diameter, and a cube, in order of increasing area.

__

We are asked to find the area and volume of two rectangular prisms, a cylinder, and a square pyramid. Then, we are to identify the shape with the least surface area. Volume and area formulas will be used for the purpose.

<h3>Rectangular Prism</h3>

The relevant formulas are ...

  V = LWH

  A = 2(LW +H(L +W))

for length L, width W, and height H.

<u>a)</u><u> prism 1</u>

The given dimensions are L = W = 8 in, H = 5 in. Then the volume and area are ...

  V = (8 in)(8 in)(5 in) = 320 in³

  A = 2((8 in)(8 in) +(5 in)(8 in +8 in)) = 2(64 in² +80 in²) = 288 in²

<u>b)</u><u> prism 2</u>

The given dimensions are L = 10 in, W = 8 in, H = 4 in. Then the volume and area are ...

  V = (10 in)(8 in)(4 in) = 320 in³

  A = 2((10 in)(8 in) +(4 in)(10 in +8 in)) = 2(80 in² +72 in²) = 304 in²

__

<h3>Cylinder</h3>

The relevant formulas are ...

  V = πr²h

  A = 2πr(r +h)

for radius r and height h.

c) The given dimensions are r = 5 in, h = 4 in. Then the volume and area are ...

  V = π(5 in)²(4 in) = 100π in³ ≈ 314 in³

  A = 2π(5 in)(5 in +4 in) = 90π in² ≈ 283 in²

__

<h3>Square Pyramid</h3>

The relevant formulas are ...

  V = 1/3s²h

  A = s(s +2H)

for base side dimension s, vertical height h, and slant height H.

d) The given dimensions are s = 10 in, h = 10 in, H = 14 in. Then the volume and area are ...

  V = 1/3(10 in)²(10 in) = 1000/3 in³ ≈ 333 in³

  A = (10 in)(10 in + 2×14 in) = 380 in²

__

<h3>Summary</h3>

The proposed figures have volume and area (rounded to the nearest unit) as follows:

  \begin{tabular}{|c|c|c|c|}\cline{1-4}&shape&V (in^3)&A (in^2)\\\cline{1-4}a&rect prism&320&288\\b&rect prism&320&304\\c&cylinder&314&\bf283\\d&pyramid&333&380\\\cline{1-4}\end{tabular}

The proposed <em>cylinder</em> requires the least amount of sheet metal for its construction. It has the least surface area of all of the shape choices offered.

_____

<em>Additional comment</em>

For a volume of 320 in³, a cube would have a surface area of 280.7 in². A "square" cylinder would have an area of 260.0 in². A sphere would have an area of 226.2 in². The above areas are somewhat larger because the shapes depart from the ideal aspect ratio.

3 0
2 years ago
carries family leaves at 7:15. they drive for 30 minutes and yhen stop for dinner what time is it when they stop for dinner?
laiz [17]

Answer:

I think it is 7:45

Step-by-step explanation:


4 0
3 years ago
Read 2 more answers
16/8 would be classified as a/an?<br> A:whole number <br> B:integer <br> C:Rational Number
gregori [183]

Answer:

Whole Number

Step-by-step explanation:

Numerator. This is the number above the fraction line. For 16/8, the numerator is 16.

Denominator. This is the number below the fraction line. For 16/8, the denominator is 8.

Improper fraction. This is a fraction where the numerator is greater than the denominator.

Mixed number. This is a way of expressing an improper fraction by simplifying it to whole units and a smaller overall fraction. It's an integer (whole number) and a proper fraction.

Now let's go through the steps needed to convert 16/8 to a mixed number.

Step 1: Find the whole number

We first want to find the whole number, and to do this we divide the numerator by the denominator. Since we are only interested in whole numbers, we ignore any numbers to the right of the decimal point.

16/8 = 2

Now that we have our whole number for the mixed fraction, we need to find our new numerator for the fraction part of the mixed number.

Step 2: Get the new numerator

To work this out we'll use the whole number we calculated in step one (2) and multiply it by the original denominator (8). The result of that multiplication is then subtracted from the original numerator:

16 - (8 x 2) = 0

Step 3: Our mixed fraction

We've now simplified 16/8 to a mixed number. To see it, we just need to put the whole number together with our new numerator and original denominator:

2 (0/8)

You maybe have noticed here that our new numerator is actually 0. Since there is no remainder, we can remove the entire fraction part of this mixed number, leaving us with a final answer.

8 0
3 years ago
Jay wants to make a box, with no lid (or top), out of a 10" x 6" rectangular piece of cardboard. If Jay cuts squares with dimens
LiRa [457]

Answer:

a.V(x)=x(10-2x)(6-2x)

b.S(x)=4(15-x^2)

Step-by-step explanation:

Dimensions of rectangular piece of cardboard=10\times 6

According to question

Length of box,l=10-2x

Breadth of box,b=6-2x

Height of box,h=x

a.

Volume of box=l\times b\times h

Substitute the values in the formula

Volume of box=x(10-2x)(6-2x)

V(x)=x(10-2x)(6-2x)

b.Surface area of box=2(b+l)h+lb

Because the box has no lid

Substitute the values in the formula

Surface area of box=2(10-2x+6-2x)x+(10-2x)(6-2x)

Surface area of box=2(16-4x)x+60-20x-12x+4x^2

Surface area of box=32x-8x^2+60-32x+4x^2

Surface area of box=60-4x^2=4(15-x^2)

Surface area of box, S(x)=4(15-x^2)

4 0
3 years ago
Ben wants to buy a new car stereo and he has already saved some money. He used this inequality to represent the amount he still
lara [203]
365 is bigger because it bigger
3 0
3 years ago
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