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d1i1m1o1n [39]
3 years ago
5

An ant has a mass of approximately 4 × 10–3 grams and an elephant has a mass of approximately 8 x 106 grams. About how many time

s larger is the elephant's mass as compared to the ant's mass?
Mathematics
1 answer:
Butoxors [25]3 years ago
5 0
Ant's mass: 4 x 10 - 3
Elephant's mass: 8 x 106

First, we should evaluate these expressions by using PEMDAS. PEMDAS stands for Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction. From P to S is the order that we must follow these steps.

So first for the ant's mass, we have to multiply first since the M comes before the S, resulting in 40 - 3 grams.
Next we have to subtract, leading us to getting 37.

For the elephant since there is only one operation, all we have to do is multiply, which equals 848.

In order to see how many times larger the elephant is than the ant, we have to divide the elephant's mass by the ant's.
848/37 = 22.9

Since you only want an approximate answer, you can put down 23 or even go a bit more vague and put down 20.
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5. Find the volume of the composite space figure to the nearest whole number. (1 point)
-BARSIC- [3]

Answer:

  (d)  944 mm³

Step-by-step explanation:

The volume of a prism is given by the formula ...

  V = Bh

where B is the area of the base, and h is the distance between bases.

__

<h3>base area</h3>

Here, the base of the prism is a rectangle with a semicircle on top. The circle has a diameter of 9 mm, so a radius of 4.5 mm. The area of the semicircle is ...

  A = 1/2πr² = 1/2π(4.5 mm)² ≈ 31.809 mm²

The area of the rectangle is the product of its length and width.

  A = LW = (9 mm)(6 mm) = 54 mm²

So, the total base area is ...

  31.809 mm² +54 mm² = 85.809 mm²

<h3>prism volume</h3>

The prism volume is this area multiplied by the length of the figure:

  V = Bh = (85.809 mm²)(11 mm) ≈ 944 mm³

The volume of the figure is about 944 mm³.

8 0
2 years ago
Three times a number, increased by 1, is 25
Olegator [25]
The answer is 8. 
8 x 3 = 24
24 + 1 = 25 
Hope I helped :)
6 0
4 years ago
Read 2 more answers
Elein and Naya wanted to meet between their houses at midpoint (4 , 1). If Elien’s house is at
Furkat [3]
(6,-2) are coordinates to Naya’s house
5 0
3 years ago
The fraction 4/5 is equivalent to 0.8 and 80%. How do I write 0.8 and 80% as unreduced fractions?
kolezko [41]

✧・゚: *✧・゚:*    *:・゚✧*:・゚✧

                  Hello!

✧・゚: *✧・゚:*    *:・゚✧*:・゚✧

❖ You can write 0.8 as 8/10 and 80% as 80/100.

(8/10 and 8/100 are equivalent.)

~ ʜᴏᴘᴇ ᴛʜɪꜱ ʜᴇʟᴘꜱ! :) ♡

~ ᴄʟᴏᴜᴛᴀɴꜱᴡᴇʀꜱ

4 0
3 years ago
The graph shows the solution for which inequalities?
Helen [10]

Answer:

Inequalities are,

y ≥ 4x + 2

y ≥ 2

Step-by-step explanation:

Solid yellow line of the graph attached passes through two points (0, -2) and (1, 2).

Let the equation of this line is,

y = mx + b

Slope of the line = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}

                      m = \frac{2+2}{1-0}

                      m = 4

Y-intercept 'b' = -2

Equation of the line will be,

y = 4x - 2

Since shaded area is on the left side of this solid line so the inequality representing this region will be,

y ≥ 4x - 2

Another line is a solid blue line parallel to the x-axis.

Shaded region (blue) above the line will be represented by,

y ≥ 2

Therefore, the common shaded area of these inequalities will be the solution of the given inequalities.

7 0
3 years ago
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