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pishuonlain [190]
4 years ago
15

how do i Write “345 ants per 23 square inches” as a unit rate. Round to the hundredths place, if necessary.

Mathematics
1 answer:
butalik [34]4 years ago
4 0
0.07 is the correct answer.
You might be interested in
form a 6 digit number divisible by 1 first 2 divisible by 2, first 3 digits divisible by 3, first 4 digits divisible by 4, first
photoshop1234 [79]

Answer:

111111

Step-by-step explanation:

Digit 1: This can be any digit as all numbers are divisible by 1. I picked 1 because it was simplest.

Digit 2: The total needs to be divisible by 2, so I picked my total to be 2. I knew I already had 1 from the previous digit, so 2-1 =1 was my next digit.

Digit 3: The total must be divisible by 3, so I picked my total to be 3. I already had 2 from the two previous digits, so 3-1 = 1 was my next digit.

I hope you get the idea now, it follows the same pattern for the rest of the numbers.

Hopefully this helps, any questions let me know :)

7 0
3 years ago
Help plsss need this for tomorrow
Margaret [11]
Hello there! I can help you! So there is one blue counter added to two green counters. To solve this problem, we can write and solve an equation. Set it up like this:

12 + 1x = 8 + 2x

We do this, because there are already some of each color in the bag. 1x makes one counter each and 2x is two counters for every blue counter in the bag. Let's solve it. Subtract 1x from each side. 1x - 1x cancels out. 2x - 1x is 1x or just simply x. That simplifies to 12 = 8 + x. Subtract 8 from each side to get the variable by itself. 8 - 8 cancels out. 12 - 8 is 4. That leaves 4 = x. Nothing else needs to be done. Let's plug the value in and see if it works. 1 * 4 is 4. 12 + 4 is 16. 2 * 4 is 8. 8 + 8 is 16. 16 = 16. There. x = 4. 4 blue counters and 8 green counters were added to the bag.
4 0
3 years ago
Been waiting for half an hour pls help me
Stella [2.4K]

Answer:

13.7 cm

Step-by-step explanation:

  1. there are 360° in a circle and in this image, we can see 90°+90°+66.4°=260.4
  2. since we know that 360°-260.4°=99.6°
  3. The angle measure of arc AD is 99.6°

Now that we covered that, we can use the arc length formula in order to find the length of arc AD.

  1. arc length = 2πr(Θ/360°)
  2. 2π(7.9)(99.6°/360°) = 13.7329
  3. rounded to the nearest tenth = 13.7
3 0
3 years ago
1The volumes of two similar prisms are 972 cm3 and 36 cm3. The surface area of the larger prism is 594 cm2.
diamong [38]

Answer:

Part 1)

The scale factor of the smaller prism to the larger prism is 3

or

The scale factor of the larger prism to the  smaller prism is 1/3

Part 2) The surface area of the smaller prism is 66 square centimeters

Step-by-step explanation:

Part 1) What is the scale factor for the similar figures?

we know that

If two figures are similar, then the ratio of their volumes is equal to the scale factor raised to the cube

Let

z ----> the scale factor

x ---> volume of the larger prism

y ---> volume of the smaller prism

so

z^3=\frac{x}{y}

we have

x=972\ cm^3\\y=36\ cm^3

substitute

z^3=\frac{972}{36}

Simplify

z^3=27\\z=3

therefore

The scale factor of the smaller prism to the larger prism is 3

or

The scale factor of the larger prism to the  smaller prism is 1/3

Part 2) What is the surface area of the smaller prism?

we know that

If two figures are similar, then the ratio of their surface areas is equal to the scale factor squared

Let

z ----> the scale factor

x ---> surface area of the larger prism

y ---> surface area of the smaller prism

so

z^2=\frac{x}{y}

we have

x=594\ cm^2

z=3

substitute

3^2=\frac{594}{y}

solve for y

y=\frac{594}{9}=66\ cm^2

therefore

The surface area of the smaller prism is 66 square centimeters

6 0
3 years ago
Consider the given function and the given interval. f(x) = (x − 4)2, [3, 6]
s2008m [1.1K]

Answer:

f average = 1

smaller value c = 3

larger value c = 5

Step-by-step explanation:

6 0
3 years ago
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