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SVEN [57.7K]
3 years ago
11

Find (4.54×10^8)-(3.98×10^8)

Mathematics
1 answer:
horrorfan [7]3 years ago
5 0

Answer:

5.6 *10^7

Step-by-step explanation:

Given

(4.54*10^8)-(3.98*10^8)

Required

Solve

(4.54*10^8)-(3.98*10^8)

Apply distributive law of algebra

(4.54 - 3.98) *10^8

Evaluate the expression in bracket

(0.56) *10^8

Remove bracket

0.56 *10^8

When a number is in standard form: a * 10^n

The value of a must be: 1 \le a \le 10

So, the expression becomes:

5.6 *10^{-1}*10^8

Apply law of indices

5.6 *10^{-1+8}

5.6 *10^7

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Answer:

777

Step-by-step explanation:

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3 years ago
Chamberlin wants to bottle 1\8 of her apple cider. She pours the apple cider evenly among 6 bottles. What fraction of her apple
devlian [24]

Answer:

a) \frac{1}{48} of her apple cider.

b) 6x=\frac{1}{8}

Step-by-step explanation:

1. Let's call the amount of her apple cider she will put in each bottle: x

2. You know that she wants to bottle 1\8 of her apple cider and she pours it among 6 bottles.  

3. Therefore, keeping the information above on mind, you can write the following expression:

6x=\frac{1}{8}

4. When you solve for x, you obtain the following result:

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3 0
4 years ago
A trail mix is made up of peanuts that cost p dollars per pound and dried fruit that costs d dollars per pound. A blend of 1/2 p
Cerrena [4.2K]
P is the cost of a pound of peanuts and F is the cost of a pound of dried fruit
0.5p+0.75f=6.5
0.75p+0.25f=4.5

Rearrange
0.5p=-0.75f+6.5

Simplify
P=-1.25f+13

Substitute
0.75(-1.25f+13)+0.25f=4.5

simplify
-0.9375f+9.75+0.25f=4.5
<span>-0.6875f+9.75=4.5
</span>-0.6875f=-5.25
f=7.636364

Round
F=$<span>7.64 per pound
</span>
Plug in
0.75p+0.25(7.64)=4.5

Simplify
0.75p+<span>1.91=4.5
0.75p=</span><span>2.59
</span>p=3.453333

Round
P=$3.45 per pound of peanuts

Final
P=$3.45 per pound of peanuts
F=$7.64 per pound of dried fruit
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How many numbers less than 51 are a product of two different prime numbers?
NeTakaya
3x17= 51 is the answer
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2 years ago
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