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3 years ago

A farmer is able to prepare 1/2 are of soil in 3 days. How long will it take him to prepare 2 1/4 acres of soil?

Mathematics

1 answer:

Alexxx [7]3 years ago

8 0

Answer:

x = 13 1/2 days

Step-by-step explanation:

1/2 acre 2 1/4 acre

------------ = -------------------------

3 days x days

using cross products

1/2 * x = 2 1/4 * 3

change 2 1/4 to an improper fraction (4*2+1)/4 =9/4

1/2 x = 9/4*3

1/2x = 27/4

multiply each side by 2

2 * 1/2 x = 27/4 * 2

x = 27/2

change back to a mixed number

x = 13 1/2

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Shawna earns $10 per hour babysitting her neighbors. One Saturday she got Jill to assist her for 40% of everything she earns. Th

Nastasia [14]

Answer:10 dollars

Step-by-step explanation:because i say so

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2 years ago

The sum of 2 numbers is 28. One number is 5 less than twice the other number. What are the numbers?

suter [353]

28 = x + (2x - 5)
28 = 3x - 5
+5 +5
33 = 3x
/3 /3
11 = x

On number is 11, the other is 17.

Check:
11(2)=22-5=17

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2 years ago

What is the arc length of the arc sub tended in a circle with radius 6 and an angle of 7 pi/ 8

KengaRu [80]

Answer:

Formula for the Arc length is given by:

$\text{Arc length} = 2 \pi r \cdot \frac{\theta}{360^{\circ}}$

As per the statement:

radius of circle(r) = 6 units

Angle ( $\theta$ ) = $\frac{7 \pi}{8}$ radian

Use conversion:

$1 rad = \frac{180}{\pi}$

$\frac{7 \pi}{8}$ = $\frac{180}{\pi} \cdot \frac{7 \pi}{8} = \frac{1260}{8} = 157.5^{\circ}$

then;

substitute these given values we have;

Use value of $\pi = 3.14$

$\text{Arc length} = 2\cdot 3.14 \cdot (6) \cdot \frac{157.5^{\circ}}{360^{\circ}}$

$\text{Arc length} = 2\cdot 3.14 \cdot (6) \cdot 0.4375$

Simplify:

$\text{Arc length}=16.485$

Therefore, the arc length of the arc substended in a circle with radius 6 units an angle of 7 pi/8 is 16.485 units

7 0

3 years ago

Identify the variable expression that is not a polynomial.

Blababa [14]

I think the answer is A.33 not a polunomial

6 0

3 years ago

Read 2 more answers

What is the value of x makes this equation true? -6x+3=45

Oduvanchick [21]

Answer:

$x=-7$

Step-by-step explanation:

subtract 3 from both sides

$-6x=45-3$

$-6x=42$

divide each term by 6

$\frac{-6x}{-6} =\frac{42}{-6}$

$x=\frac{42}{-6}$

simplify

$x=-7$

3 0

3 years ago

Read 2 more answers