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DaniilM [7]
3 years ago
12

Question 1 of 5

Mathematics
1 answer:
dedylja [7]3 years ago
5 0

Formula for the circumference of a circle:

C = πd    or     C = 2πr      

[C = circumference    π(pi)       d = diameter        r = radius(half the diameter)]

You know:

d = 5 feet        

and you're using 3.14 for π, so substitute/plug it into the equation

C = πd

C = (3.14)(5)

C = 15.7 feet       Your answer is B

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Solve the equation. 4(x − 7) − 128 = 9x − 5(x + 6)
vichka [17]

The equation 4(x − 7) − 128 = 9x − 5(x + 6) has no solution

<h3><u>Solution:</u></h3>

Given that 4(x − 7) − 128 = 9x − 5(x + 6)

We have to find the solution for this equation

4(x − 7) − 128 = 9x − 5(x + 6)

Let us use BODMAS rule to perform the sequence of operations

According to Bodmas rule, if an expression contains brackets ((), {}, []) we have to first solve or simplify the bracket followed by of (powers and roots etc.), then division, multiplication, addition and subtraction from left to right.

So let us solve for brackets first

4x - 28 - 128 = 9x - 5x - 30

Now let us perform subtraction

4x - 156 = 4x - 30

Now move the terms from R.H.S to L.H.S

4x - 4x = -30 + 156

0 \neq 126

Since there is no value of x that will ever make this a true statement, the solution to the equation above is “no solution”

So this equation has no solution

4 0
4 years ago
*Translate into an algebraic expression: How much 50% sugar syrup can you make if you have x grams of sugar?
Irina-Kira [14]

Answer:

w = x/50% = x/50/100

Step-by-step explanation:

We would turn the above question into an algebraic expression using variables.

To make a sugar syrup, we need sugar and water to form the solution.

Amount of sugar = x gram

Let amount of water = w gram

Sugar syrup solution = 50%

Sugar syrup solution = (amount of sugar)/(amount of water) × 100

50% = x/w × 100%

50% = x/w

Making w subject formula

w = x/50%

w = x/50/100

5 0
3 years ago
(2x-3)(3x+4) expand and simplify
elixir [45]

Answer:

6x² - x - 12

Step-by-step explanation:

Each term in the second factor is multiplied by each term in the first factor.

(2x - 3)(3x + 4)

= 2x(3x + 4) - 3 (3x + 4) ← distribute both parenthesis

= 6x² + 8x - 9x - 12 ← collect like terms

= 6x² - x - 12 ← in expanded form


5 0
3 years ago
Identify the coefficient in the term 7x^2 y^3 A7 B2 C 3
Fed [463]
Answer:
a. 7

Explanation:
A coefficient is the number in front of the variable that is to be multiplied by said variable. Simply identify the coefficient in the term provided to solve the problem.
8 0
3 years ago
How long does it take to travel 360 km at a constant speed of 12 km/h?
Law Incorporation [45]

Answer:

30 hours is the right answer

5 0
3 years ago
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