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2 years ago

Please Solve 8=1/3(a+5)

Mathematics

2 answers:

olga2289 [7]2 years ago

7 0

Answer:

a=19

Step-by-step explanation:

8=1/3(a+5)

To solve for a, multiply each side by 3

3*8=3*1/3(a+5)

24 = a+5

Subtract 5 from each side

24-5 = a+5-5

19 =a

e-lub [12.9K]2 years ago

6 0

Answer:

a = 19

Step-by-step explanation:

Given the equation of:

$\displaystyle{8 = \dfrac{1}{3}(a+5)}$

First, multiply both sides by 3. That will clear the denominator which makes it easier to solve for a variable:

$\displaystyle{8 \cdot 3= \dfrac{1}{3}(a+5) \cdot 3}\\\\\displaystyle{24= a+5}$

Subtract both sides by 5 to isolate the variable:

$\displaystyle{24-5=a+5-5}\\\\\displaystyle{19=a}$

Therefore, the value of a is 19.

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The table represents a linear function. find the values of a,b, and c. Show your work.

viva [34]

Answer:

The values of a , b , c are ⇒ a = 1 , b = 10 , c = 9

Step-by-step explanation:

* Lets describe the meaning of the linear function

- Linear function is represented by a line graphically

- The equation of the line is y = mx + c, where m is the slope

of the line and c is the y-intercept (the point of intersection

between the line and the y-axis is (0 , c))

- m = change of y/change of x

- We can find m from any two points on the line

* Lets use m to find a, b and c

- Use the points (3 , 8) and (5 , 9) to find m

∵ m = (y2 - y1)/(x2 - x1)

∴ m = (9 - 8)/(5 - 3) = 1/2

- Find a by using points (a , 7) and (3 , 8) ⇒ (or (5 , 9))

∵ m = (8 - 7)/(3 - a) = 1/2

∴ 1/(3 - a) = 1/2 ⇒ by using cross multiplication

∴ 3 - a = 2 ⇒ subtract 3 from both sides

∴ -a = -1 ⇒ × -1 both sides

∴ a = 1

- Find b by using points (5 , 9) and (7 , b) ⇒ (or (3 , 8))

∵ m = (b - 9)/(7 - 5) = (b - 9)/2

∴ (b - 9)/2 = 1/2 ⇒ by using cross multiplication

∴ 2(b - 9) = 2 ⇒ open the bracket

∴ 2b - 18 = 2 ⇒ add 18 to both sides

∴ 2b = 20 ⇒ ÷ 2

∴ b = 10

- Find b by using points (5 , 9) and (c , 11) ⇒ (or (3 , 8))

∵ m = (11 - 9)/(c - 5) = 2/(c - 5)

∴ 2/(c - 5) = 1/2 ⇒ by using cross multiplication

∴ c - 5 = 4 ⇒ add 5 to both sides

∴ c = 9

* The values of a , b , c are ⇒ a = 1 , b = 10 , c = 9

6 0

3 years ago

Solve for x in the equation 3 x squared minus 18 x + 5 = 47.

ryzh [129]

Answer:

x= 3 + $\sqrt{23}$ , 3 - $\sqrt{23}$

Step-by-step explanation:

You use the quadratic formula to get x= $\frac{18+6\sqrt{23} }{6} ,\frac{18-6\sqrt{23} }{6}$

Then you simplify and get the answers x= 3 + $\sqrt{23}$ , 3 - $\sqrt{23}$

6 0

3 years ago

Read 2 more answers

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Gala2k [10]

Answer:

The answer is B

Step-by-step explanation:

Each smaller rectangle is being multiplied by <em>a </em>so 2a + 3a + 4a would give you the total area of the entire large rectangle.

6 0

3 years ago

Pythagoras help needed please

boyakko [2]

Answer:

See explanation

Step-by-step explanation:

Find the diagonal of the square. The side of the square is 5 cm long. By the Pythagorean theorem,

$\text{Diagonal}^2=\text{Side}^2+\text{Side}^2\\ \\\text{Diagonal}^2=5^2+5^2\\ \\\text{Diagonal}^2=25+25\\ \\\text{Diagonal}^2=50\\ \\\text{Diagonal}=\sqrt{50}=5\sqrt{2}\approx 7.07\ cm$

If the square (being inside the circle) touches the circle, then the diagonal of the square is exactly the diameter of the circle. The diameter of the circle is twice the radius of the circle, so

$\text{Diameter}=2\times 5=10\ cm$

Since the diagonal is shorter than the diameter, the square can fit into the circle without touching the circle.

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4 years ago

What are two different ways in which you can use prime factorization to find the prime factors of a number

LekaFEV [45]

You can line them up underneath each other and skip count is one way like this :

2; 2,4,6,8,10
4; 4,8,12,16,

and your answer would be 8 because it is a common number between 2 and 4

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3 years ago