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3 years ago

Do 0.3 and 3.0 have same value?explain

1 answer:

8 0

Solutions

0.3 and 3.0 have different values.

The decimal 0.3 is behind the decimal and it is in the 10ths place.

3.0 is a whole number.

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The length of Dwight's garden is 12.5 meters. Dwight measured it but made a measurement error of 6%. Find the lowest and highest

pishuonlain [190]

Answer: See Explanation

Step-by-step explanation:

From the question, The length of Dwight's garden is 12.5 meters but he measured it and made a measurement error of 6%.

The lowest measurement Dwight could have made will be:

= 12.5 - (6% × 12.5)

= 12.5 - (0.06 × 12.5)

= 12.5 - 0.75

= 11.75 meters

The lowest measurement Dwight could have made will be:

= 12.5 + (6% × 12.5)

= 12.5 + (0.06 × 12.5)

= 12.5 + 0.75

= 13.25 meters

3 0

3 years ago

His new employer has offered Malcom Davis a choice of profit-sharing plans. For Plan A, he can receive 1/90 of the company’s gro

Strike441 [17]

Malcom Davis earnings is an illustration of equations and proportions.

The equation is: $\mathbf{\frac{1}{90}G= \frac{1}{60}(G- 100000)}$
The gross income must be $300000, for Dave to earn the same amount with either plan.
His earning is $3333.33 when the plans are the same.

Let the profit be P, and the gross income be G.

So, we have:

$\mathbf{P= G - 100000}$

(a) The equations

For plan A, we have:

$\mathbf{A = \frac{1}{90}G}$ ----1/90 of the company's gross income

For plan B, we have:

$\mathbf{B = \frac{1}{60}P}$ ----1/90 of the company's profit

When both are the same, we have:

$\mathbf{A= B}$

This gives

$\mathbf{\frac{1}{90}G= \frac{1}{60}P}$

Substitute $\mathbf{P= G - 100000}$

$\mathbf{\frac{1}{90}G= \frac{1}{60}(G- 100000)}$

Hence, the equation is: $\mathbf{\frac{1}{90}G= \frac{1}{60}(G- 100000)}$

(b) Solve the equation in (a), and intepret

$\mathbf{\frac{1}{90}G= \frac{1}{60}(G- 100000)}$

Cross multiply

$\mathbf{60G = 90G - 9000 000}$

Collect like terms

$\mathbf{90G - 60G = 9000 000}$

$\mathbf{30G = 9000 000}$

Divide both sides by 30

$\mathbf{G = 3000 00}$

The gross income must be $300000, for Dave to earn the same amount with either plan.

(c) His earnings based on (c)

We have:

$\mathbf{A = \frac{1}{90}G}$

Substitute $\mathbf{G = 3000 00}$

$\mathbf{A = \frac{1}{90} \times 300000}$

$\mathbf{A = 3333.33}$

His earning is $3333.33 when the plans are the same

(d) If the gross income in less than (b)

If the gross income is less than $300,000, then plan A would better for Malcom Davis, because his earnings in plan A would be greater than plan B

Read more about equations at:

brainly.com/question/20893366

8 0

3 years ago

What is the answer 2 x squared to -5 when x=3

Troyanec [42]

Answer:

1/7776

Step-by-step explanation:

7 0

4 years ago

A semi-circle sits on top of a rectangle to form the figure below. Find its area and perimeter. Use 3.14 for a.

boyakko [2]

9514 1404 393

Answer:

(d) A = 14.28 in², P = 14.28 in

Step-by-step explanation:

The figure is wholly contained within a 4" square, which has an area of (4 in)² = 16 in², and a perimeter of 4(4 in) = 16 in. Since the figure is smaller in area and has a shorter perimeter (the top corners are rounded, not square), both answer values must be less than 16.

The only reasonable choice is the last choice: 14.28 in², 14.28 in.

If you want to figure this out in detail, you have the area of a rectangle that is 2 in by 4 in, and the area of a semicircle of radius 2 in. The total area is ...

A = LW +1/2πr²

A = (2 in)(4 in) + 1/2(3.14)(2 in)² = 8 in² +6.28 in²

A = 14.28 in²

The perimeter is half that of a 4" square, plus half that of a 4" circle.

P = 1/2(4(4 in) +π(4 in)) = (2 in)(4 +π) = 2(7.14) in

P = 14.28 in

8 0

3 years ago

If Sinx= 3/4, find x (3sf)

Alenkasestr [34]

If Sinx= 3/4 ===> sin x=0.75

===> arcsin (0.75) = x

===> x=48.59°

3 0

4 years ago