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Pachacha [2.7K]

2 years ago

15

A store keeper has 70 crates of eggs. Each crates contains 2 1/2 dozen eggs . How many dozen eggs does she have? a.2100 b.2010 c

.175 d.28

1 answer:

timofeeve [1]2 years ago

7 0

The store will have 2100 eggs from all the crates but if you're asking for how many dozens than it would be 175.

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N x 50 = 5,000. Explain your solution

prohojiy [21]

In order to figure out what N is you have to isolate it by dividing by 50 on both sides as shown below:
$N*50=5000\\\frac{n*50}{50}=\frac{5000}{50}\\n=100$

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2 years ago

What is the total volume of this compound shape?

Alex787 [66]

Answer:

This is very easy. First find the volume of the cube, and then add it to the volume of the hemisphere to find the total volume.

The volume of the cube is length x width x height: 8 x 8 x 12 = 768 cm

The volume of the hemisphere is (2/3)πr³ : (2/3)π(4)³ = 134.04 cm

*Radius is 4

Now add: 768 + 134.04 = 902.04 cm

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2 years ago

two ships leave a port at the same time. the first ship sails on a bearing of 55° at 12 knots (natural miles per hour) and the s

Korvikt [17]

Answer:

37.59 nautical miles

Explanation:

Distance = Speed x Time

The speed of the first ship = 12 knots

Thus, the distance covered after 1.5 hours

$\begin{gathered} =12\times1.5 \\ =18\text{ miles} \end{gathered}$

The speed of the second ship = 22 knots

Thus, the distance covered after 1.5 hours

$\begin{gathered} =22\times1.5 \\ =33\text{ miles} \end{gathered}$

The diagram representing the ship's path is drawn and attached below:

The angle at port = 90 degrees.

The triangle is a right triangle.

Using Pythagorean Theorem:

$\begin{gathered} c^2=a^2+b^2 \\ c^2=18^2+33^2 \\ c^2=324+1089 \\ c^2=1413 \\ c=\sqrt[]{1413} \\ c=37.59\text{ miles} \end{gathered}$

The two ships are 37.59 nautical miles apart after 1.5 hours.

8 0

7 months ago

Drag each pair of numbers to show if their greatest common factor (GCF) is less than 2, equal to 2, equal to 3, or greater than

TEA [102]

Answer:

GCF < 2 : 2 and 7, 12 and 13

GCF = 2 : 2 and 6

GCF = 3 : 3 and 6

GCF > 3 : 4 and 12, 6 and 18

Step-by-step explanation:

The greatest common Factor (GCF) of two or more integers, which are not all zero, is the largest positive integer that divides each of the integers.

(a) 2 and 7: Both 2 and 7 are prime numbers, therefore the GCF of 2 and 7 is 1 which is less than 2.

(b) 2 and 6: Both 2 and 6 are even numbers, therefore the GCF of 2 and 6 is 2.

(c) 4 and 12: Both 4 and 12 are even numbers and multiple of 4, therefore the GCF of 4 and 12 is 4 which is greater than 3.

(d) 12 and 13: 13 is a prime number, therefore the GCF of 12 and 13 is 1 which is less than 2.

(e) 6 and 18: Both 6 and 18 are even numbers and multiple of 6, therefore the GCF of 6 and 18 is 6 which is greater than 2 and greater than 3.

(f) 3 and 6: Both are multiple of 3, therefore the GCF of 3 and 6 is 3.

8 0

2 years ago

The height, h, of a falling object t seconds after it is dropped from a platform 300 feet above the ground is modeled by the fun

Bogdan [553]

Answer:

Average rate of fall = $\frac{h(3)-h(0)}{3}$

Step-by-step explanation:

Since they give you an expression for the position of the object as a function of time, one can derive the average velocity of the object during the first 3 seconds of the fall by estimating the position of the object at time 0, the position of the object at time 3 seconds, finding the displacement of the object (distance covered) in that interval of time (via a subtraction of these two quantities), and finally dividing this change by the elapsed time (3 seconds) thus using the concept that velocity is the quotient between distance covered over the elapsed time:

Average rate of fall = (h(3) - h(0))/ 3

Average rate of fall = $\frac{h(3)-h(0)}{3}$

4 0

2 years ago

Read 2 more answers