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Neporo4naja [7]
2 years ago
11

A small bag can hold 40 packets of crackers and a large bag can hold 90

Mathematics
1 answer:
harina [27]2 years ago
8 0

Answer:

s + l > 300

40 * s + 90 * l > 1500

Step-by-step explanation:

Let's say the amount of small bags is equal to s and the amount of large bags is equal to l.

The total amount of bags is equal to the sum of the small bags and large bags, as there can only be small or large bags. Therefore, the total amount of bags is equal to s + l. As the total amount of bags is greater than 300, we can write

s + l > 300

Next, the total number of packets of crackers exceeds 1500. We can find the total number of packets based on the amount of small and large bags. Because each small bag holds 40 packets, we can say that the amount of packets in small bags is equal to 40 * s. Similarly, the total amount of packets in large bags is equal to 90 * l. Therefore, the total amount of packets is equal to

40 * s + 90 * l

and since the total number of packets is greater than 1500, we can say

40 * s + 90 * l > 1500

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Select all the options below that correctly fill in the blank. A ____ is a subcategory of polygon.
yaroslaw [1]

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1 Point
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Option C

The ratio for the volumes of two similar cylinders is 8 : 27

<h3><u>Solution:</u></h3>

Let there are two cylinder of heights "h" and "H"

Also radius to be "r" and "R"

\text { Volume of a cylinder }=\pi r^{2} h

Where π = 3.14 , r is the radius and h is the height

Now the ratio of their heights and radii is 2:3 .i.e  

\frac{\mathrm{r}}{R}=\frac{\mathrm{h}}{H}=\frac{2}{3}

<em><u>Ratio for the volumes of two cylinders</u></em>

\frac{\text {Volume of cylinder } 1}{\text {Volume of cylinder } 2}=\frac{\pi r^{2} h}{\pi R^{2} H}

Cancelling the common terms, we get

\frac{\text {Volume of cylinder } 1}{\text {Volume of cylinder } 2}=\left(\frac{\mathrm{r}}{R}\right)^{2} \times\left(\frac{\mathrm{h}}{\mathrm{H}}\right)

Substituting we get,

\frac{\text {Volume of cylinder } 1}{\text {Volume of cylinder } 2}=\left(\frac{2}{3}\right)^{2} \times\left(\frac{2}{3}\right)

\frac{\text {Volume of cylinder } 1}{\text {Volume of cylinder } 2}=\frac{2 \times 2 \times 2}{3 \times 3 \times 3}

\frac{\text {Volume of cylinder } 1}{\text {Volume of cylinder } 2}=\frac{8}{27}

Hence, the ratio of volume of two cylinders is 8 : 27

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Devon made a mosaic in art class with different-shaped tiles. She started by putting 2 rows of t triangle tiles at the top of th
umka2103 [35]

The expressions that represent number of tiles that Devon used on her mosaic:

A. 20 + 2t + 2c

D. 20 + t + t + c + c

<h3>What is an expression?</h3>

An expression refers to a mathematical equation which shows the relationship between two or more numerical quantities or variables.

For the expressions that represent number of tiles that Devon used on her mosaic:

  • Let the triangle tiles be t.
  • Let the circle tiles be c.
  • Two rows of t triangle tiles = t + t = 2t.
  • Two rows of c circle tiles = c + c = 2t.

Mathematically, the expression is given by:

Total tiles = 20 + t + t + c + c

Total tiles = 20 + 2t + 2c.

Read more on expressions here: brainly.com/question/12189823

#SPJ1

Complete Question:

Devon made a mosaic in art class with different-shaped tiles. She started by putting 2 rows of t triangle tiles at the top of the mosaic and 2 rows of c circle tiles at the bottom. She finished by putting 20 square tiles in between the triangle and circle tiles.

Pick all the expressions that represent how many tiles Devon used on her mosaic.

A. 20 + 2t + 2c

B. 20 + 4 ( t + c )

C. 2 ( 20 + t + c )

D. 20 + t + t + c + c

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Which set of points on the graph represents equivalent ratios?
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Answer:c,d,f I think

Step-by-step explanation:

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