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3 years ago

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

1 answer:

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