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3 years ago

If a/b = 7/2, then 2a = ___ A) 4b. B) 7b. C) 14b. D) 2b.

Mathematics

2 answers:

Anestetic [448]3 years ago

8 0

If a/b = 7/2, then 2a = 7b

jeyben [28]3 years ago

8 0

Answer:

B) 7b

Step-by-step explanation:

1. Write the equation to solve

$\frac{a}{b}=\frac{7}{2}$

2. Solve for a:

$a=\frac{7b}{2}$

3. Multiply both sides by 2 to obtain the value of 2a:

$2a=2*(\frac{7b}{2})$

4. Solve the equation:

$2a=\frac{14b}{2}$

$2a=7b$

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At a peace summit, seven Hatfield and nine McCoy family

katrin2010 [14]

Answer:

0.525 = 52.5% probability that the two are from different families.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

In this problem, the order in which the two participants are selected is not important, so we use the combinations formula to solve this question.

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

Desired outcomes:

1 from the Harfield family(from a set of 7).

1 from the McCoy family(from a set of 9). So

$D = C_{7,1}*C_{9,1} = \frac{7!}{1!6!}*\frac{9!}{1!8!} = 7*9 = 63$

Total outcomes:

2 from a set of 16. So

$T = C_{16,2} = \frac{16!}{2!14!} = 120$

Probability:

$p = \frac{D}{T} = \frac{63}{120} = 0.525$

0.525 = 52.5% probability that the two are from different families.

3 0

3 years ago

What is the answer ?

Zanzabum

Answer:

The answer for Q35 is : 176 cubic feet

Step-by-step explanation:

V = 16×3×2+16×5

= 96 + 80

= 176 cubic feet

6 0

2 years ago

Use the substitution method to solve the system of equations. y=-8x and 4x-y=3

Artyom0805 [142]

Answer:

Step-by-step explanation:

$\left\{\begin{array}{ccc}y=-8x&(1)\\4x-y=3&(2)\end{array}\right\qquad\text{put (1) to (2):}\\\\4x-(-8x)=3\\4x+8x=3\\12x=3\qquad\text{divide both sides by 12}\\x=\dfrac{3}{12}\to x=\dfrac{1}{4}\\\\\text{put the value of x to (1):}\\\\y=-8\left(\dfrac{1}{4}\right)=-2$

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3 years ago

Find the mean ,median, and mode round to the nearest tenth if necessary for 9.3, 8.4, 8.0, 9.1, 9.4, 9.0, 7.8, 9.3, 8.0

Ivenika [448]

Mean-1.6
median-9.0
mode-8.65 8.0 and 9.3=17.3/2 is 8.65

8 0

3 years ago

In the design shown below, four semicircles are attached to a square whose area is 36 square centimeters. Which of the following

CaHeK987 [17]

Answer:

56.549 cm (choice 1)

Step-by-step explanation:

If the area of the square if 36 cm, then each side is 6 cm.

That means the diameter for each semi circle is also 6 cm.

Formula for a semi circle is 1/2(πr²)

We need the radius, which is half the diameter. So the radius is 6÷2= 3

Now plug in to the formula.

A= 1/2(π3²)

A= 14.137 (nearest hundredths)

Now multiply that by 4, because there are 4 semi circles

4(14.137)= 56.549 cm (nearest hundredths)

3 0

3 years ago