Can somebody please help me and explain a bit, it's for a test grade :(
1 answer:
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Answer:
The estimate of the product is about 35 answer C
Step-by-step explanation:
- We use rounding to estimate the product of two fractions
- The mixed number has whole number and fraction
- To round the mixed number we look to the fraction
- If the numerator is half or greater than half the denominator, then we
add the whole number by 1 and cancel the fraction
- If the numerator is less than half the denominator, then we keep the
whole number as it and cancel the fraction
- Ex: If the mixed number is , 3 is more than
half 4 then we will add 2 by 1 and cancel the fraction part, the
mixed number after rounding is 3
- Ex: If the mixed number is , 1 is less than
half 4 then we will keep 5 as it and cancel the fraction part, the
mixed number after rounding is 5
* Lets solve the problem
∵ In the part 3 is more than half 4
∴ The rounding value of is 5
∵ In the part 2 is less than half 17
∴ The rounding value of is 7
∴
* <em>The estimate of the product is about 35</em>
Answer:
The volume of 40% solution= 4.3L
The volume of 5% solution= 10L - 4.3L= 5.7L
Step-by-step explanation:
From the given information:
Let consider x to be the of volume 40% solution
therefore the volume of 5% is said to be:
10 L= 40% solution volume + 5% solution volume
10 L= (x + 5%) solution volume
making 5% solution volume the subject; we have
5% solution volume= 10 L - x
To estimate the value of the volume, we now have:
Volume of 20% × Concentration of 20%= (Volume of 40% × concentration40%) + (Volume of 5% × Concentration of 5% )
∴
10L × 20%= (x) L × 35% + 10 L × 5%
(x) L × 35 = 10L × 20 - 10 L × 5 = 10 L × 15
x = 4.28 L
x 4.3L
∴
The volume of 40% solution= 4.3L
The volume of 5% solution= 10L - 4.3L= 5.7L