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Tasya [4]
3 years ago
10

Find the lowest terms fraction that's equal to 0.71.

Mathematics
1 answer:
Rudik [331]3 years ago
7 0
71/100 is the lowest the fraction can get
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There are 24 tiles in a stack.Each tile is 8mm thick.How high is the stack in metres?
Yuki888 [10]
24 × 8 = 192 mm ;
1 mm = 0.001 m ;
192 × 0.001 = 0.192 m ;
6 0
3 years ago
Given: 15+6(y−2)=21 Prove: y = 3 Drag and drop the reasons into the boxes to correctly complete the proof. Statement Reason 15+6
olchik [2.2K]

Answer:

Given:  15+6(y-2)=21

Distributive Property tells us that we multiply each term inside the parentheses with the term outside of the parentheses.

a\cdot(b-c) =a\cdot b -a\cdot c

Using distributive property on expression 6(y-2) to solve the further expression as:

15+6\cdot y - 6\cdot 2=21

Simplify:

15+6y-12 =21

Subtract the number 12 from 15 we get 3;

therefore, the expression become:

6y+3=21

Subtraction property of equality tells us that subtract the same number from both sides of an equation.

Now, subtract 3 from both the sides we get;

6y+3-3=21-3

Simplify:

6y=18

Now, divide by 6 on both the sides we get;

\frac{6y}{6}= \frac{18}{6}

On simplify we get;

y =3           Hence Proved!





7 0
4 years ago
Please can someone help there 10 Points for it!!!!
torisob [31]

Answer:

a) The missing terms are 9, 13, 21 and 25.

b) If we know that n_{1} = 9 and r = 4, then the n-th term of the sequence is represented by n_{n} = 9 +4\cdot (n-1).

Step-by-step explanation:

a) Given that elements of the sequence are found by increasing by the same amount, we infer that elements are part of an arithmetical progression. The rate of progression is now determined:

3\cdot r = 29-17

3\cdot r = 12

r = 4

The missing terms are:

n_{1} = 17 - 2\cdot (4)

n_{1} = 9

n_{2} = 17 - 4

n_{2} = 13

n_{4} = 17 +4

n_{4} = 21

n_{5} = 17 + 2\cdot (4)

n_{5} = 25

The missing terms are 9, 13, 21 and 25.

b) The formula for the arithmetical progression is represented by the following formula:

n_{n} = n_{1} + r\cdot (n-1) (1)

Where:

n_{1} - First element of the sequence.

n - Indicator associated with the element of the sequence.

r - Progression rate.

If we know that n_{1} = 9 and r = 4, then the n-th term of the sequence is represented by n_{n} = 9 +4\cdot (n-1).

8 0
3 years ago
Find the volume of the cylinder. Round your answer to the nearest tenth.
GrogVix [38]

We know diameter d=8 and height h=16.

First find the radius of the bottom of the cylinder,

r=\dfrac{d}{2}=\dfrac{8}{2}=4.

Then find the area of the bottom of cylinder,

A=\pi r^2=16\pi.

Then to find volume just multiply the height with the area of the bottom of the cylinder,

V=Ah=16\cdot16\pi=16^2\pi\approx804.247\mathrm{cm^3}.

Hope this helps.

7 0
3 years ago
Read 2 more answers
Find the distance between points A(2,3) and B(5,9) round to the nearest tenth
olya-2409 [2.1K]

To calculate the distance between two points, we can use a formula that is a variation Pythagorean Theorem. Look:


\mathsf{d=\sqrt{(x_B-x_A)^2+(y_B-y_A)^2}}


"d" represents the distance and coordinates are expressed as follows: (x, y)


Let's go to the calculations.


\mathsf{d=\sqrt{(x_B-x_A)^2+(y_B-y_A)^2}}\\\\ \mathsf{d=\sqrt{(5-2)^2+(9-3)^2}}\\\\ \mathsf{d=\sqrt{(3)^2+(6)^2}}\\\\ \mathsf{d=\sqrt{9+36}}\\\\ \mathsf{d=\sqrt{45}}\\\\ \mathsf{d=6.7082039324993690892275210061938...}\\\\ \underline{\mathsf{d\approxeq6.7}}



The answer is 6.7 uc.

4 0
4 years ago
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