When measuring weight 6 small dogs are approximately equal to 9 large cats. How many large cats are equal to 54 small dogs? How many small dogs are equal to 12 large cats?

Answers

Answer 1

Answer: 6 small dogs are approximately equal to 9 large cats

How many large cats are equal to 54 small dogs?
x cats/54 dogs = 9 cats / 6 dogs
x/54 = 9/6
x / 54 * 54 = 9 / 6 * 54
x = 81 large cats

How many small dogs are equal to 12 large cats?
x small dogs / 12 large cats = 6 small dogs / 9 large cats
x / 12 = 6 / 9
x = 6/9 * 12
x = 8 small dogs

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Estimate the product of 68 and 42

Answers

We can round 68 to 70
And round 42 to 40

70 x 40 = 2800

68(42)= 2856
The number 68 is multiplied by 42 and is equal to 2856

How to solve -7=-11+v/5?

Answers

-7 = -11 + v/5
-7 = v/5 - 11
-7 + 11 = v/5
4 = v/5
4 × 5 = v
v = 20

The answer is: v = 20.

add -24 to -11 to get -35 then divide -35 by 5 to get -7

Find the product 4×6×50 tell what strategy you used

Answers

Answer:

1200

Step-by-step explanation:

4x6= 24

24x 5= 120

120x 10= 1200

I would multiply 4 times 6 and then times 50

Arrange these numbers from least to greatest:

Answers

The answer is C, I think.

The answer is C.............

Brittany wants to make cookies for the whole fourth grade.One batch of dough makes 2 dozen cookies.There are 68 fourth graders at her school.Is it reasonable to say that Brittany will need more than two batches of dough?

Answers

Yea because 12+12 is only 24 so she will need a lot more. Cookie dough

Grandma Edith uses her big punch bowl at family gatherings. The bowl is half of a sphere, with a diameter of 30 cm. Her ladle is also half of a sphere, with a diameter of 8 cm. How many ladles can Grandma Edith scoop from the punch bowl? use 3.14 to approximate pi and express your answer as a whole number. show your work.

Answers

Our first instinct is to go through every step ...

-- calculate the volume of the bowl
-- calculate the volume of the ladle
-- divide the volume of the bowl by the volume of the ladle

and we may even start down that path. But we soon realize that
it's going to be painful and take a lot of time. So we stop right
where we are, and consider our options.
We have two options:
      #1). Give up, quit, and walk away.
      #2). Find a smarter way to do it.

Look at the formula for the volume of a sphere:

   Volume = (4/3 π) (radius³) .

Do you see that ? The radius³ is a factor in the volume of
everysphere. That means that if you multiplythe radius
of a sphere by (a number),the volume of the sphere gets
multiplied by (the same number)³ !

How does that help us with this problem ? Well, it alsomeans
that the ratio of the volumes of two spheres is

   (the ratio of their radii)³.

Radius of the bowl = 15 inches
Radius of the ladle = 4 inches
Ratio of their radii = (15/4) = 3.75

   So the bowl holds (3.75)³ as much as the ladle holds.

   (3.75)³ = 52.73 ...

   The bowl holds 52.73 ... times as much as the ladle.

   After Grandma Edith scoops 52 ladle-fulls from the bowl,
there will be less than 1 ladle-full remaining in there.

And we did it all without even knowing π .

1) we calculate the volume of the big punch bowl
Volume (half sphere)=(1/2)(4/3)πr³=2/3πr³
radius=30 cm / 2=15 cm

Volume=(2/3)π(15 cm)³=2250π cm³

2) we calculate the volume of the ladle:
radius=8 cm/2=4 cm
Volume=(2/3)π(4 cm)³=128π/3 cm³

3) we calculate the number of ladles by the rule of three.
1 ladle----------------------128π/3 cm³
x------------------------------2250π cm³

x=(1 ladle * 2250π cm³) / (128π/3 cm³)=52.73 ladles≈52 ladles

Answer: 52 ladles.

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