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3 years ago

What is the best way to answer this mixed number 7 3/4 + 1 5/6

Mathematics

2 answers:

olga_2 [115]3 years ago

8 0

9514 1404 393

Answer:

9 7/12

Step-by-step explanation:

12 is a suitable common denominator.

(7 3/4) + (1 5/6) = (7 9/12) + (1 10/12) = (7+1) +(9/12 +10/12)

= 8 + 19/12 = 9 + 7/12 . . . . . . change 19/12 to 1 7/12

= 9 7/12

_____

My calculator works with mixed numbers very nicely, as many graphing calculators do.

KatRina [158]3 years ago

4 0

Step-by-step explanation:

convert the fractions to whole numbers. the first one is:

4 × 7, then add 3, or 31/4.

the second one is 6 × 1, then add 5, or 11/6.

then you have 31/4 + 11/6. then you make a common denominator, which would be 12 (6 and 4 both go into 12).

3 × 31 = 93, so then the first fractions becomes:

93/12

second fraction becomes 11 × 2 = 22, then:

22/12.

so now you have 93/12 + 22/12 = 115/12, or 9 7/12

You might be interested in

Find the surface area of the right prism. Round to the nearest whole number.

andriy [413]

Answer:

$\large\boxed{S.A.=96\ cm^2}$

Step-by-step explanation:

We have:

(1) two trapezoids with bases b₁ = 7cm and b₂ = 5cm and the height h = 4cm

(2) three rectangles 3 cm × 7 cm, 3 cm × 4 cm and 3 cm × 5 cm.

The formula of an area of a trapezoid:

$A=\dfrac{b_1+b_2}{2}\cdot h$

Substitute:

$A=\dfrac{7+5}{2}\cdot4=24\ cm^2$

Calculate the areas of the rectangles:

$A_1=(3)(7)=21\ cm^2\\\\A_2=(3)(4)=12\ cm^2\\\\A_3=(3)(5)=15\ cm^2$

The Surface Area:

$S.A.=(2)(24)+21+12+15=96\ cm^2$

5 0

3 years ago

Find the area of the shaded region

Alex777 [14]

∆BOC is equilateral, since both OC and OB are radii of the circle with length 4 cm. Then the angle subtended by the minor arc BC has measure 60°. (Note that OA is also a radius.) AB is a diameter of the circle, so the arc AB subtends an angle measuring 180°. This means the minor arc AC measures 120°.

Since ∆BOC is equilateral, its area is √3/4 (4 cm)² = 4√3 cm². The area of the sector containing ∆BOC is 60/360 = 1/6 the total area of the circle, or π/6 (4 cm)² = 8π/3 cm². Then the area of the shaded segment adjacent to ∆BOC is (8π/3 - 4√3) cm².

∆AOC is isosceles, with vertex angle measuring 120°, so the other two angles measure (180° - 120°)/2 = 30°. Using trigonometry, we find

$\sin(30^\circ) = \dfrac{h}{4\,\rm cm} \implies h= 2\,\rm cm$

where $h$ is the length of the altitude originating from vertex O, and so

$\left(\dfrac b2\right)^2 + h^2 = (4\,\mathrm{cm})^2 \implies b = 4\sqrt3 \,\rm cm$

where $b$ is the length of the base AC. Hence the area of ∆AOC is 1/2 (2 cm) (4√3 cm) = 4√3 cm². The area of the sector containing ∆AOC is 120/360 = 1/3 of the total area of the circle, or π/3 (4 cm)² = 16π/3 cm². Then the area of the other shaded segment is (16π/3 - 4√3) cm².

So, the total area of the shaded region is

(8π/3 - 4√3) + (16π/3 - 4√3) = (8π - 8√3) cm²

7 0

2 years ago

Does the ratio of cereal to pecans compare a part to part ,part to whole ,or whole a part

kondaur [170]

Ratio is the Whole cereal and pecans are part of
so it is part to part

4 0

3 years ago

There are 2.54 centimeters in 1 inch. There are 100 centimeters in 1 meter.

sveta [45]

Answer:

<em>Answer: 512 inches</em>

Step-by-step explanation:

<u>Unit Conversion</u>

We need to recall two basic unit conversions for length:

1 inch = 2.54 cm

1 meter = 100 cm

We are given a length of 13 meters. Converting to centimeters:

13 * 100 = 1300 cm

Now convert to inches dividing by 2.54:

$1300 / 2.54 \approx 512$

Answer: 512 inches

3 0

3 years ago

Which expression is equal to p + (q + r)?

Svetradugi [14.3K]

Answer:

(p + q) + r

is the correct answer

3 0

2 years ago