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3 years ago

Identify the fraction that is equivalent to 4/7

Mathematics

2 answers:

damaskus [11]3 years ago

4 0

4/7,8/14,12/21,16/28,20/35,24/42,28/49,32/56,36/63,40/70 and so on are equivalent fractions to 4/7

Alja [10]3 years ago

3 0

multiply both numbers by 2 each time so it can be 8/14, 16/28, 32/56, etc.

did you have answers to choose from?

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Round and estimate 0.9% of 74

skelet666 [1.2K]

The answer is 6.7 bc .09 times 74 equals 6.66 so you round the 6 to a 7.

7 0

4 years ago

Pls help quick!

oksano4ka [1.4K]

Answer:

v / √5

Step-by-step explanation:

Solution:-

- We have a satellite of mass ( m ) that orbits the earth of mass ( M ). The radius of orbit is ( r ) : center of earth - to - center of satellite radial distance.

- The satellite orbits the Earth with constant tangent velocity ( v ). The velocity ( v ) is a function of massive body ( M ) about which the smaller body orbits and orbital radius ( r ).

- The formulation is given by:

$v_o_r_b_i_t = \sqrt{\frac{G*M}{r} }$

Where,

G: The universal gravitational constant

- We are to compare the orbital speeds by changing some of the parameters in the above relation.

- The effect on the orbital speed ( v_orbit ) by increasing the orbital radius to ( 5r ) can be evaluated using the given relation. Such that:

$v_o_r_b_i_t = \sqrt{\frac{G*M}{5r} }\\\\v_o_r_b_i_t = \frac{1}{\sqrt{5} } \sqrt{\frac{G*M}{r} }\\$

- Now take the ratio of initial orbital speed to the increased orbital radius ( 5r ):

$v_o_r_b_i_t = \frac{1}{\sqrt{5} }*v \\$

6 0

3 years ago

How many cubes with side lengths of 1/3 cm does it take to fill the prism?

user100 [1]

Answer:

The number of cubes that fill the prism is 24

Step-by-step explanation:

Given as :

The length of cube (l) = $\frac{1}{3}$ cm

The length of prism (L) = 1 cm

The width of prism (w) = 2 $\frac{2}{3}$ = $\frac{8}{3}$ cm

The height of prism (h) = $\frac{2}{3}$ cm

Let the number of cubes that fill the prism = x

Now, Volume of cube with length (l) = l³ cm³

Or, Volume of cube with length (l) = $(\frac{1}{3})^{3}$ cm³

Or, Volume of cube with length (l) = $(\frac{1}{27})$ cm³

Again , Volume of prism = $\frac{1}{2}\times Length \times width \times height$

Or, Volume of prism = $\frac{1}{2}\times 1 \times \frac{8}{3} \times \frac{2}{3}$

Or, Volume of prism = $(\frac{8}{9})$ cm³

<u>So , The number of cubes to fill prism </u>

The number of cubes × Volume of cube = Volume of prism

Or, x × $(\frac{1}{27})$ cm³ = $(\frac{8}{9})$ cm³

or x = $\frac{8\times 27}{9}$ = 24

Hence The number of cubes which fill the prism is 24 Answer

8 0

3 years ago

Factor and Solve. Show work.

Naddik [55]

Step-by-step explanation:

1. We we can split 4p into 9p - 5p, and now we have 3p² + 9p - 5p - 15 = 0. We can take out 3p from the first 2 terms and -5 from the last 2 terms. This gets us 3p (p + 3) -5 (p + 3) = 0. These two terms have (p + 3) as a common facor, so we can take that out as well, which give us (p + 3)(3p - 5) = ). Using Zero Product Property, p + 3 = 0 and 3p - 5 = 0, and when we solve each equation, we get p = -3, p= 5/3.

2. We will use the same process.

6x² + 14x - 3x - 7 = 0

2x (3x+7) - 1 (3x+7) = 0

(3x + 7)(2x - 1) = 0

3x + 7 = 0, 2x - 1 = 0

x = -7/3, x=1/2

Hope this helps!

4 0

3 years ago

A cone has a radius of 5 cm and a height of 12 cm. What is the volume of the cone rounded to the tenth? Use pi = 3.14

vlabodo [156]

Answer:

942m^3

Step-by-step explanation:

Given data

Radius of cone= 5m

Height= 12 m

We know that volume of a cone is given as

V= πr^2h

V= 3.14*5^2*12

V= 3.14*25*12

V= 942 m^3

Hence the volume is 942m^3

4 0

3 years ago