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2 years ago

Work out 3/4 + 4/7 what is the answer to this question

Mathematics

1 answer:

worty [1.4K]2 years ago

7 0

Answer:

1 and 9/28

Step-by-step explanation:

you need to put everything over the same denominator

21/28+16/28=37/28

this can be written as 1 9/28

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alexandr402 [8]

$8.5, $\frac{68}{8} = 8.5$

5 0

2 years ago

Find the equation of the line that passes through the points : (4 , -1 ) and (0 , -3)

Sergio [31]

Answer:

B. y= 1/2 x - 3

Step-by-step explanation:

base equation: y= mx+ b

slope(m) equation: $\frac{y_{2}-y_{2} }{x_{2} -x_{1} }$

y2= -1 y1= -3

x2= 4 x1= 0

$\frac{-1 - (-3)}{4-0} =\frac{2}{4} = \frac{1}{2}$

y- intercept: -3

found by taking the y from (0,-3)

3 0

2 years ago

The length of a rectangle is four more than triple the width. if the perimeter is 120 inches, find the dimensions.

mezya [45]

120/2=60 (sum of both lengths)
4x+4=60
4x=56
x=14

length=46
width=14

5 0

2 years ago

A water balloon has a diameter of 6 inches. How many cubic inches of water does it contain when it is 3/4 full

Travka [436]

Below are the choices that can be found from other sources:

A) 36 pi
B) 6 pi 
C) 27 pi 
D) 216 pi 
E) 48 pi

A sphere's volume is (4/3)*pi*r^3.
The diameter of the balloon is 6 inches. The diameter is twice the radius. The radius is 3 inches. 

(4/3)*pi*3^3 = 36 * pi 

But the balloon is only 3/4 full. So 

36 * (3/4) * pi = 27 * pi. 

The balloon has 27 pi cubic inches of water.

7 0

3 years ago

The figure is made up of a hemisphere and a cylinder.

Goryan [66]

Data: (Cylinder)
h (height) = 8 cm
r (radius) = 5 cm
Adopting: $\pi \approx 3.14$
V (volume) = ?

Solving:(Cylinder volume)
 $V = h* \pi *r^2$
$V = 8*3.14*5^2$
$V = 8*3.14*25$
$\boxed{ V_{cylinder} = 628\:cm^3}$

Note: Now, let's find the volume of a hemisphere.

Data: (hemisphere volume)
V (volume) = ?
r (radius) = 5 cm
Adopting: $\pi \approx 3.14$

If: We know that the volume of a sphere is $V = 4 * \pi * \frac{r^3}{3}$ , but we have a hemisphere, so the formula will be half the volume of the hemisphere $V = \frac{1}{2} * 4 * \pi * \frac{r^3}{3} 
$

Formula: (Volume of the hemisphere)
 $V = \frac{1}{2} * 4 * \pi * \frac{r^3}{3}$

Solving:
$V = \frac{1}{2} * 4 * \pi * \frac{r^3}{3}$
$V = \frac{1}{2} * 4 * 3.14 * \frac{5^3}{3}$
$V = \frac{1}{2} * 4 * 3.14 * \frac{125}{3}$
$V = \frac{1570}{6}$
$\boxed{V_{hemisphere}\approx 261.6\:cm^3}$

Now, to find the total volume of the figure, add the values: (cylinder volume + hemisphere volume)

Volume of the figure = cylinder volume + hemisphere volume
Volume of the figure = 628 cm³ + 261.6 cm³
$\boxed{\boxed{Volume\:of\:the\:figure = 1517.6\:cm^3}}\end{array}}\qquad\quad\checkmark$

3 0

3 years ago

Read 2 more answers