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Aleonysh [2.5K]
3 years ago
5

What is the sum of 6 7/8 + 4 5/8

Mathematics
2 answers:
erica [24]3 years ago
8 0
6\frac{7}{8}+4\frac{5}{8}\\----------------\\6+4=10\\\\\frac{7}{8}+\frac{5}{8}=\frac{7+5}{8}=\frac{12}{8}=1\frac{4}{8}=1\frac{1}{2}\\\\10+1\frac{1}{2}=11\frac{1}{2}\\\\====================\\\\6\frac{7}{8}+4\frac{5}{8}=11\frac{1}{2}
Rudik [331]3 years ago
6 0
6, 7/8 + 4, 5/8 = 10, 12/8 = 11, 4/8 = 11, 1/2 (1/2 = 4/8 simplest form)
Hope that made sense :)
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Cassi collects glass bottles for a deposit.She can earn $0.25 for five bottles.Last week she earns $12.75.How many bottles did C
garik1379 [7]

$0.25 = 5 bottles

Divide both sides by 5:

$0.05 = 1 bottle

Last week: $12.75

12.75 = 0.05b where b represents bottles

Divide all by 0.05 to get b alone:

255 = b

7 0
3 years ago
The surface area of the prism below is 264 square units . Find the missing dimensions of this prism. ( picture is in the picture
nignag [31]

Answer:

The missing dimension is 4 units.

Step-by-step explanation:

In the given prism,

Of all the surfaces,

There are three rectangular surfaces and two triangular surfaces

<h2>Analyzing areas of rectangular surfaces:</h2>

1)The two rectangles with dimensions of 15 units and 5 units:

The area of each rectangle = Length of rectangle \times Breadth of rectangle

From the diagram,

Length of rectangle = 15 units,

Breadth of rectangle = 5 units.

Area of each rectangle = 15\times 5 ;

Area of each rectangle = 75 square units.

Sum of areas of the two rectangles = 2\times 75

Sum of areas of the two rectangles = 150 square units (equation 1)

2) The rectangle with the dimensions 15 units and 6 units:

The area of thus rectangle=  Length of rectangle \times Breadth of rectangle

From the diagram,

Length of rectangle = 15 units,

Breadth of rectangle = 6 units.

Area of the rectangle = 15\times 6 ;

Area of the rectangle = 90 square units. (equation 2)

From equation 1 and equation 2,

Therefore sum of areas of all rectangles in the prism = 150 + 90

Sum of areas of rectangles = 240 square units.

We also know,

Total surface area of the prism = Sum of areas of triangles + Sum areas of rectangles

Given, Total surface area of prism = 264 square units.

Therefore from the formula,

Sum of areas of triangles = Total surface area - sum of areas of reactangles

Sum of areas of triangles = 264 - 240

Sum of areas of triangles = 24 square units. (equation 3)

Let the missing dimension be 'h units'

<h2>Calculating sum of areas of triangles:</h2>

From diagram,both triangles are congruent,hence have the same area

Area of a triangle = \frac{1}{2}\times base\times height

From diagram,

Base = 6 units,

Height = h units.

Area of a triangle =\frac{1}{2}\times 6\times h = 3h square units.

Sum of the areas of both triangles = 3h+3h = 6h square units.

Using equation 3, we get

6h = 24;

h = \frac{24}{6}

Therefore,

h = 4 units.

Therefore,

The missing dimension is 4 units.

4 0
3 years ago
Which of the following sets could be the sides of a right triangle?{2, 3, square root of 13} {5, 5, 2, square root of 10} { 5, 1
MA_775_DIABLO [31]

Answer:

{2, 3, √13}  

Step-by-step explanation:

In a right triangle, the sum of the squares of the two shorter sides equals the square of the third side (Pythagoras).

Let's check each set of sides in turn.

A. {2, 3, √13}

2² + 3² = 4 + 9 = 13

(√13)² = 13

This is a right triangle.

B. {5, 5, 2, √10}

This is a quadrilateral (four sides).

C. {5, 12, 15}

5² + 12² = 25 +144 = 169

15² = 225

This is not a right triangle.

5 0
3 years ago
Please help me out! this is late!​
Angelina_Jolie [31]
Answer:
6^-7

I hope this helped :)
3 0
3 years ago
What is percent decrease 2.26 to 0.98
bazaltina [42]
It decreases by 1.28.

hope this helps!
4 0
2 years ago
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