What is the exact answer to 30,321 divided by 46?

Answers

Answer 1
Answer: The exact answer is 659.1521
Answer 2
Answer: 30,321÷46=659.152173913

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You are relieved from your position as a machine operator at the plant at 11:25 for a 50-minute lunch break. When must you begin working again.

Answers

Answer:

12:15

Step-by-step explanation:

Hattie is making fruit baskets, which includes apples and bananas, to send to some of her real estate clients. She wants each basket to have 12 pieces of fruit, but the fruit should weigh no more than 80 ounces total. On average, each apple weighs 5 ounces, and each banana weighs 7 ounces.

Answers

The number of apples are 2 and number of bananas is 10.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

Given that Hattie is making fruit baskets, which includes apples and bananas, to send to some of her real estate clients.

She wants each basket to have 12 pieces of fruit, but the fruit should weigh no more than 80 ounces total.

On average, each apple weighs 5 ounces, and each banana weighs 7 ounces.

Let Bananas is denoted by B and Apples are represented by A.

A+B=12...(1)

5A+7B<80...(2)

A=12-B

Substitute in equation 2.

5(12-B)+7B=80

60-5B+7B=80

60+2B=80

Subtract 60 on both sides.

2B=80-60

2B=20

Divide both sides by 2.

B=10

A+B=12

A+10=12

A=2

Hence, the number of apples are 2 and number of bananas is 10.

To learn more on Equation:

brainly.com/question/10413253

#SPJ2

Answer:

Step-by-step explanation:

The answer is 10 bananas and 2 apples

During an experiment, Aika measured the time it took for a ball to roll down a ramp set at an angle. She measured that it took 1.010 seconds. The exact time it should take based on calculations is 0.904 seconds. What was her experimental error?

Answers

Answer:

11.725%

Step-by-step explanation:

Given that :

True value = 0.904 seconds

Measured time = 1.010 seconds

Experimental error :

(|measured value - True value | / true value) * 100%

(|1.010 - 0.904| ÷ 0.904) * 100%

= 0.106 / 0.904 * 100%

= 0.1172566 * 100%

= 11.725%

Answer:

11.725%

Step-by-step explanation:

A rectangle is inscribed in a circle.Calculate the area of the circle. Use 3.14 for π. Round to the nearest hundredth.

1___ Square centimeters

2 Calculate the area of the rectangle.

3. Calculate the area of the shaded region. Use 3.14 for π. Round to the nearest hundredth.

Answers

Answer:

1. The area of the circle is 132.67 square centimeters

2. The area of the rectangle is 60 square centimeters

3. The area of the shaded region is 72.67 square centimeters

Step-by-step explanation:

* Lets explain how to solve the problem

- A rectangle is inscribed in a circle, that means the vertices of the

 rectangle lie on the circumference of the circle

∴ The diagonal of the rectangle = the diameter of the circle

- From the attached figure

∵ The diameter of the circle = 13 cm

∵ The radius of the circle is half the diameter

∴ The radius of the circle = 1/2 (13) = 6.5 cm

- The area of the circle = πr²

∵ π = 3.14

∴ The area of the circle = 3.14 × (6.5)²  = 132.67 cm²

1. The area of the circle is 132.67 square centimeters

- The area of any rectangle = length × width

∵ The length of the rectangle is 12 cm

∵ The width of the rectangle is 5 cm

∴ The area of the rectangle = 12 × 5 = 60 cm²

2. The area of the rectangle is 60 square centimeters

- The area of the shaded region is the difference between the

  area of the circle and the area of the rectangle

∵ The area of the circle = 132.67 cm²

∵ The area of the rectangle = 60 cm²

∵ The area of the shaded region = area of circle - area of rectangle

∴ The area of the shaded region = 132.67 - 60 = 72.67 cm²

3. The area of the shaded region is 72.67 square centimeters

a.Find a linear approximation of 4√14 . b. Justify visually whether your approximation is an over- or underestimate.

Answers

Answer:

15

Step-by-step explanation:

Let f(x) be the function

\bf f(x)=√(x)

A linear approximation of f is the Taylor polynomial of degree one:

\bf f(x)\approx f(a)+f'(a)(x-a)

Taking a = 16, and given that

\bf f'(x)=\displaystyle(1)/(2√(x))

we get

\bf f(x)\approx f(16)+f'(16)(x-16)=√(16)+\displaystyle(1)/(2√(16))(x-16)=4+\displaystyle(x-16)/(8)

so

\bf √(14)=f(14)\approx 4+\displaystyle(14-16)/(8)=3.75\Rightarrow\n\n\Rightarrow 4√(14)\approx 4(3.75)=15

Since 16 > 14, we can deduce that this is an overestimate.

Use any method to multiply (-14ab)(a + 3b - 4c).

Answers

Answer:

-14a^2b-42ab^2+56abc

Step-by-step explanation:

You can use the FOIL method

multiply the first numbers

then inner

then outer

then last