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Ainat [17]
3 years ago
14

Mila ran 6 times around a track that is 2/3 mile long. Which statement is true

Mathematics
1 answer:
Morgarella [4.7K]3 years ago
8 0

Answer:

The statement three is correct . Hope this ans is helpful

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A) work out the radius of the mercury, giving your answer as an ordinary number
guapka [62]

Answer:

a. 2,440 km

b. 1.33*10^{27} kg

Step-by-step explanation:

a. Diameter of Mercury = 4.88*10^3

Radius of Mercury = ½ of its diameter = \frac{4.88*10^3}{2}

Radius of Mercury = 2.44*10^3

To convert the radius to ordinary number, multiply 2.44 by 1,000.

Radius of Mercury as an ordinary number = 2.44*1,000 = 2,440 km

b. Mass of Jupiter = 1.898*10^{27} kg

Mass of Saturn = 5.68*10^{26} kg

Difference between mass of Jupiter and mass of Saturn = 1.898*10^{27} - 5.68*10^{26} (subtract 5.68 from 1.898 = 5.68. we would retain the largest exponent, which is raised to the lower of 27.)

= 1.33*10^{27}

7 0
3 years ago
Solving equations <br><br> -2(x + 3)=3(2x-10)
nika2105 [10]

Answer:

x=3

Step-by-step explanation:

3 0
3 years ago
A box is to be made where the material for the sides and the lid cost​ $0.20 per square foot and the cost for the bottom is ​$0.
Reika [66]

Answer:

The dimension of the box is l×w×h =  (2.274 × 2.274 × 1.934) ft³

Step-by-step explanation:

From the given information;

Let a be the cost of the box

Let b  be one side of the square base ;    &

h to be the height  of the box

We know that the volume of the box = 10 cubic feet

Then;

a²h = 10

h = 10/a²

The base = (0.65)a²

The top = (0.2)a²

The side = (0.2) a × 25/a²

= 5/a

For the four sides of the box now ;

= (0.2) 4a × 25/a²

= 0.8  × 25/a

= 20 /a

The total cost of the box is:

b = 0.65a² + 0.2a² + 20 /a

b = 0.85 a² + 20 /a

Taking differential of b with respect to a ;we have:

db/da = 1.7a - 1/a²(20) = 0

1.7 a³ - 20 = 0

1.7 a³  = 20

a³ = 20/1.7

a³ = 11.77

a = \sqrt[3]{11.77}

a = 2.274 ft

Thus; the cost for the base of the box = (0.65)a²

the cost for the base of the box =(0.65) × ( 2.274)²

the cost for the base of the box = 3.362

The top of the box = (0.2)a²

The top of the box = (0.2)× ( 2.274)²

The top of the box = 1.034

The four sides of the box = 20 /a

The four sides of the box = 20/2.274

The four sides of the box = 8.795

the total cost = b = 0.85 a² + 20 /a

the total cost = 0.85 (2.274)² + 20 /2.274

the total cost = 4.395 + 8.795

the total cost = 13.19

Recall that:

the volume of the box = 10 cubic feet

Then;

a²h = 10

h = 10/a²

h = 10/ 2.274²

h  1.934

The dimension of the box is l×w×h =  (2.274 × 2.274 × 1.934) ft³

7 0
3 years ago
State the property being illustrated in each example.
Dahasolnce [82]

Answer:

Wait

Step-by-step explanation:

I solve first

5 0
3 years ago
Read 2 more answers
write the equation to solve for x 3x + 21 6x - 60 please help i was given 3x+21=6x-60 thats wrong can someone please help richar
Dmitry [639]

Answer:

<h2>3x + 21 = 6x - 60 </h2>

Step-by-step explanation:

parallel angles are equal

3x + 21 = 6x - 60

combine similar terms:

3x - 6x = -60 - 21

-3x = -81

x = 81/3

x = 27

now, plugin the value of x=27 back into the equation to get the angle:

= 3x + 21

= 3(27) + 21

= 102

= 6x - 60

= 6(27) - 60

= 102

as you noticed, both values are equal 102 = 102 because its a parallel angles

 

so the equation is 3x + 21 = 6x - 60

================================

i am pretty sure its correct.

8 0
3 years ago
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