MATHEMATICS MIDDLE SCHOOL

5/4 gallons of water fill 5/6 of a bucket how many gallons of water fill the entire bucket

Answers

Answer 1

Answer:

Answer:

$(3)/(2)$ gallons

Step-by-step explanation:

If $(5)/(4)$ gallons fill $(5)/(6)$ of a bucket.

Then we can write the ratio;

$(5)/(4):(5)/(6)$

Let $x$ gallons fill the entire bucket which is equivalent to $1$ .

Then we can again write the ratio;

$x:1$

We can write the following equation of proportion to solve for $x$ .

$(5)/(4):(5)/(6)=x:1$

This implies that;

$((5)/(4) )/((5)/(6) )=(x)/(1)$

We simplify to get;

$(5)/(4)* (6)/(5) }=x$

$x=(6)/(4) =(3)/(2)$

Therefore $(3)/(2)$ gallons will fill the entire bucket

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Answers

Answer:

Step-by-step explanation:

Im not answering the question but omg ur and army my bias is suga and im also in middle school

2(7 + 8n) = 4n - 10

Answers

Use Photomath.................

Answer:

n= -2

Step-by-step explanation:

Hope this help

The composite figures below are made of right prisms.Note: figures not drawn to scale.

Place the figures in order from least surface area to greatest surface area.

Answers

Answer:

Figure 1's surface area: 550 $feet^2$

Figure 2's surface area: 530 $feet^2$

Figure 3's surface area: 790 $feet^2$

So, the order of the figures' surface areas is: Figure 2 < Figure 1 < Figure 3.

Step-by-step explanation:

Bearing in mind that the surface area of a 3D object is the total area of its surface (that is the sum of the areas of its faces), we can count the number of distinct shapes in each figure, calculate their areas and add them up. Be careful not to add the faces that are "inside".

Figure 1

Its surface area consists of 13 squares of 5x5 $feet^2$ and 3 rectangles of 15x5 $feet^2$ . So, its surface area is (13x25 + 3x75) $feet^2 = 550feet^2$

Figure 2

Its surface area consists of 6 squares of 5x5 $feet^2$ , 3 rectangles of 17x5 $feet^2$ , 1 rectangle of 13x5 $feet^2$ and 2 triangles of base 12 feet and height 5 feet. So, its surface area is (17x5x3+6x5x5+13x5+12x5x2:2) $feet^2 = 530feet^2$

Figure 3

Its surface area consists of 2 rectangles of 12.5x5 $feet^2$ , 1 rectangle of 11x5 $feet^2$ , 2 triangles of base 12 feet and height 5 feet, 1 rectangle of 11x13 $feet^2$ , 2 rectangles of 12.5x11 $feet^2$ and 1 rectangle of 12x11 $feet^2$ .

So, its surface area is (2x12.5x5+11x5+2x12x5:2+11x13+2x12.5x11+12x11) $feet^2 = 790feet^2$

Answer:

Least surface area to greatest surface area:

Blue - Red - Green

Step-by-step explanation:

All the surfaces of the shapes are rectangles, then their surface is computed as:

Surface = Length*Width

Blue figure

Area of the top:

5*5 + 5*5 + 5*5 + 5*5 + 5*5 = 125 ft^2

Area of the sides:

2*(5*10) = 100 ft^2

Area of the bottom:

10*5 = 50 ft^2

Area of the front and the back

2*(5*5 + 15*5) = 200 ft^2

Total: 125 + 100 + 50 + 200 = 475 ft^2

Red figure

Area of the top:

5*5 + 13*5 = 90 ft^2

Area of the left side:

5*10 = 50 ft^2

Area of the right side:

5*5 = 25 ft^2

Area of the bottom:

17*5 = 85 ft^2

Area of the front and the back:

2*(17*5 + 12*5/2 + 5*5) = 280 ft^2

Total: 90 + 50 + 25 + 85 + 280 = 530 ft^2

Green figure

Area of the top:

12.5*11 + 13*11 = 280.5 ft^2

Area of the left side:

11*5 = 55 ft^2

Area of the bottom:

(12.5+12)*11 = 269.5 ft^2

Area of the front and the back:

2*(12.5*5 + 12*5/2) = 185 ft^2

Total: 280.5 + 55 + 269.5 + 185 = 790 ft^2

What is 6.95 to one decimal place?I know how to round to the nearest tenth but if you round this,it just goes to a whole number!

Answers

The answer is 7.0. When you want to round to the nearest tenth, you need to leave only one decimal. The second decimal is 5. So, the first decimal will be rounded to the first bigger number. In this case 6.95, the first decimal number 9 will increase to 10 which means that the number 6.95 will be rounded to a whole number: 6.95 = 7.0

ava wants to buy three pairs of a certain style of jeans at two different stores jeans jam sells the jeans 25% off the $24.99 retail price the denim shoppe sells the jeans $28 but is having a buy 2 pairs get 1 pair free promotion which store has the better buy

Answers

Answer:

The better buy is The denim shoppe!

Step-by-step explanation:

the denim shoppe price for 3 jeans is $56 and Jeans jam price of 3 jeans is $56.25! $56 < $56.25.

If Ava buys three pairs of jeans from Jeans Jam, it would cost her a total of $56.23. If Ava buys three pairs of jeans from The Denim Shoppe, it would cost her exactly $56. This means that The Denim Shoppe is a better buy...by 23 cents.

Which system of equations is represented by the graph? A. y = x2 − 5x − 3
6x − y = −27

B.y = x2 − 5x + 3
6x − y = 27

C. y = x2 + 5x + 3
6x + y = −27

D. y = x2 + 5x − 3
6x + y = 27