What is the sum of 4.9 × 102 and 6.8 × 103?

Mathematics

1 answer:

dusya [7]3 years ago

6 0

Answer:

The sum is

$7.92\times 10^3$

Step-by-step explanation:

We want to add

$4.9\times 10^2 and 6.8\times 10^3$

The sum of these two numbers is:

$4.9\times 10^2 +6.8\times 10^3$

This is the same as:

$4.9\times 100 +6.8\times 1000$

$490 +6800=7290$

We rewrite 7290 in standard form to get;

$7.92\times 10^3$

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Marie mixes 40 liters of 12% acid solution with a 32% acid solution to make a 16% acid solution. How many liters of 32% solution

aleksandrvk [35]

We let the amount of 32% acid solution added to be X ,
Firstly, 40 of 0.12 conc. , = 4.8L of acid, and 35.2L non acid
For ever 1 L of 32% acid we add in we get 0.32L of acid and + 0.68L non Acid,
So we formulate an equation
(4.8+0.32X) / (40+X) = 16/100
(4.8+0.32X) = 0.16(40+X) =6.4+0.16X
0.16X = 1.6
X =10
Hence she used 10L of 32% Solution acid.

4 0

3 years ago

Sum of 15, - 2 and 7 is

ioda

Answer:

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Step-by-step explanation:

Solution: 15/2 = 7.5

7/2 = 3.5

The smaller number = 7.5-3.5 or 4, and the larger number is 7.5+3.5 or 11. Answer.

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3 years ago

A, B, C, and D have the coordinates (-8, 1), (-2, 4), (-3, -1), and (-6, 5), respectively. Which sentence about the points is tr

DedPeter [7]

For this case we observe that the lines AB (red) and CD (purple) are cut at one point.
We observe that the slopes of both lines are different (they are not reciprocal opposites).
Therefore, the lines are not perpendicular.
Answer:
AB and CD are intersecting lines but are not perpendicular.
See attached image.