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Alenkasestr [34]
3 years ago
15

Simplify the expression: 52 – [30 – 2(7 – x)].

Mathematics
1 answer:
adoni [48]3 years ago
6 0
Let's simplify step-by-step.<span>52−<span>(<span>30−<span>2<span>(<span>7−x</span>)</span></span></span>)

</span></span>Distribute the Negative Sign:<span>=<span>52+<span><span>−1</span><span>(<span>30−<span>2<span>(<span>7−x</span>)</span></span></span>)</span></span></span></span><span>=<span><span>52+<span><span>(<span>−1</span>)</span><span>(30)</span></span></span>+<span><span>−1</span><span>(<span>−<span>2<span>(<span>7−x</span>)</span></span></span>)</span></span></span></span><span>=<span><span><span><span><span>52+</span>−30</span>+</span>−<span>2x</span></span>+14

</span></span>Distribute:<span>=<span><span><span><span><span>52+</span>−30</span>+</span>−<span>2x</span></span>+14

</span></span>Combine Like Terms:<span>=<span><span><span>52+<span>−30</span></span>+<span>−<span>2x</span></span></span>+14</span></span><span>=<span><span>(<span>−<span>2x</span></span>)</span>+<span>(<span><span>52+<span>−30</span></span>+14</span>)</span></span></span><span>=<span><span>−<span>2x</span></span>+36

</span></span>Answer:<span>=<span><span>−<span>2x</span></span>+<span>36

Good luck mate :P
</span></span></span>
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The sum of the interior angles of a polygon is (n-2)180
aleksandrvk [35]

Answer:

he sum of the angles in all these triangles will be n x 180 degrees. The sum of the angles around the interior point is clearly 360 degrees, so the sum of the polygon’s angles will be (180n)-360 = (n-2) x 180 degrees.Here we have (n-2) x 180 = 2160, so n-2 = 12. So the polygon has 14 sides. 606 views

Step-by-step explanation:

4 0
3 years ago
I need an answer to 2. a and b and 3. a
Katen [24]

The square of an odd number:

We're to conjecture, not do algebra, apparently.  1²=1, 3²=9, 5²=25, 7²=49, ...

We conjecture the square of an odd number is odd.

The product of two evens and an odd:

Again, we'll run some examples.

(2)(2)(1)=4

(2)(4)(3)=24

(4)(6)(5) =120

(4)(8)(1)=32

Conjecture: The product of two evens and an odd is a multiple of 4


Counterexample: The product of two fractions is never an integer

How about

3/4 × 4/3 = 1


4 0
4 years ago
Given a soda can with a volume of 36 and a diameter of 4, what is the volume of a cone that fits perfectly inside the soda can?
Tomtit [17]
First we need to find the heigh of the soda can be rearanging the volume formula, V = pi * r^2* h. We can make that h =  \frac{V}{pi * r^2} We know that V is 36 and radius is half of the diameter, so radius is 2. h =  \frac{36}{pi * 2^2}
h =  \frac{36}{pi * 4}
h = 2.87

Now, we can use the height to figure out the volume of a cone. The volume of a cone is V = pi * r^2 *  \frac{h}{3}
R is 2 again and h is 2.87
V = pi * 2^2 *  \frac{2.87}{3}
pi * 4 * .96
12.56*.96 = 12.0576
So a cone with a volume of 12.0576 is the largest that will fit into the soda can
5 0
4 years ago
Read 2 more answers
A cube measures 3.0 CM on each side and has a mass of 25g. What is the density?
Oxana [17]

Answer:

D ≈ 0.925926 g/cm³

Step-by-step explanation:

Density = Mass / Volume

Step 1: Define

M = 25 g

V = (3 cm)³ = 27 cm³

D = ?

Step 2: Substitute and Evaluate for Density

D = 25g / 27 cm³

D = 25/27 g/cm³

D ≈ 0.925926 g/cm³

8 0
4 years ago
Ali's latest photo got 42 likes this is 3 times as many likes as Kate's latest photo how many likes did Kate's photo get
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Hope this answer helps you! If it did, please mark it as the brainiest! I would really appreciate it! :)

4 0
3 years ago
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