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Mekhanik [1.2K]
3 years ago
13

What is the value of x in the equation 1.5(x + 4) – 3 = 4.5(x – 2)? a 3 b 4 c 5 d 9

Mathematics
1 answer:
Pepsi [2]3 years ago
7 0
The answer would be B) x = 4.

1.5x + 6 - 3 = 4.5x - 9

1.5x + 3 = 4.5x - 9

3 = 4.5x - 9 - 1.5x

3 = 3x - 9

3 + 9 = 3x

12 = 3x

12/3 = x

4 = x

x = 4.
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How many triangles and quadrilaterals altogether can be formed using the vertices of a 7-sided regular polygon?
MAVERICK [17]

Answer:  The correct option is

(E) 70.

Step-by-step explanation:  We are given to find the number of  triangles and quadrilaterals altogether that can be formed using the vertices of a 7-sided regular polygon.

To form a triangle, we need any 3 vertices of the 7-sided regular polygon. So, the number of triangles that can be formed is

n_t=^7C_3=\dfrac{7!}{3!(7-3)!}=\dfrac{7\times6\times5\times4!}{3\times2\times1\times4!}=35.

Also, to form a quadrilateral, we need any 4 vertices of the 7-sided regular polygon. So, the number of quadrilateral that can be formed is

n_q=^7C_4=\dfrac{7!}{4!(7-4)!}=\dfrac{7\times6\times5\times4!}{4!\times3\times2\times1}=35.

Therefore, the total number of triangles and quadrilaterals is

n=n_t+n_q=35+35=70.

Thus, option (E) is CORRECT.

8 0
3 years ago
Diff. / Original amount= % of increase or decrease
V125BC [204]

Answer:

% increase =\frac{\text{ Increased number -Original number }}{\text{Original number}} \times 100\%

% decrease =\frac{\text{ Original number - Decreased number }}{\text{Original number}} \times 100\%

Step-by-step explanation:

Percentage Increase:

Let there be an original number. If it increased to a certain value we can calculate the percentage increase value with the help of following formula:

% increase =\frac{\text{ Increased number -Original number }}{\text{Original number}} \times 100\%

Percentage Decrease:

Let there be an original number. If it decreases to a certain value we can calculate the percentage decrease with the help of following formula:

% decrease =\frac{\text{ Original number - Decreased number }}{\text{Original number}} \times 100\%

6 0
3 years ago
I will mark you brainiest if you can answer this
nata0808 [166]
1. C (2,2)
2. H (-9,-5)
3. B (-2,6)
4. E (8,-4)
5. G (-4,-2)
6. ( 6,8)
7. A (-8,4)
8. F (4,-9)
6 0
2 years ago
Thomas's cat, Rainwright, eats 0.8 cans of food every day. How much will Thomas spend on food in one week if each can costs $1.7
marshall27 [118]
1 week = 7 days
0.8 \times 7 \times 1.75 \\  = 9.8

Answer : Thomas spends $9.80 on food in one week.

Hope this helps. - M
3 0
3 years ago
The average of five numbers is 790.6. If the first four numbers are 80.2, 91.6,123,and 204.7,what is the sum of the five numbers
aleksklad [387]

Answer:

291 .1

Step-by-step explanation:

80.2 + 91.6 + 123 + 204.7 + x = 790.6

790.6 - 499.5 = 291. 1

8 0
2 years ago
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