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4 years ago

Trevor estimated that the product of 8.33 and 6.2 is 8 × 6, or 48. Is his estimate an underestimate or an overestimate?

Mathematics

1 answer:

Savatey [412]4 years ago

7 0

Trevor’s estimate is UNDERestimate because 8*6 is 48 and 8.33*6.2 = 51.646

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yarga [219]

Answer:

Rajan must use 0.75 liters of 5% hydrochloric acid solution and 0.25 liters of 45% hydrochloric acid solution.

Step-by-step explanation:

Let us assume that, x liters of the 5% hydrochloric acid and y liters of the 45% hydrochloric acid solutions are combined.

As Rajan need total of 1 liter of solution, so

$x+y=1$

i.e $x=1-y$ --------------------1

As Rajan needs 5% hydrochloric acid and 45% hydrochloric acid to make a 1 liter batch of 15% hydrochloric acid, hence acid content of the mixture of two acids will be same as of the final one, so

$0.05x+0.45y=1\times 0.15$

i.e $5x+45y=15$ -------------2

Putting value of x from equation 1 in equation 2,

$\Rightarrow 5(1-y)+45y=15$

$\Rightarrow 5-5y+45y=15$

$\Rightarrow 5+40y=15$

$\Rightarrow 40y=15-5=10$

$\Rightarrow y=0.25$

Putting the value of y in equation 1,

$x=1-0.25=0.75$

Therefore, Rajan must use 0.75 liters of 5% hydrochloric acid solution and 0.25 liters of 45% hydrochloric acid solution.

5 0

4 years ago

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joja [24]

Download the app photo math, it will give u all the answers for those and shows the work

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3 years ago

I wish to have $10,000 at the end of 8 yers in a bank offering a simple interest rate of 7.5% per year. How much should I deposi

kolezko [41]

Answer:

You have to invest $6,250

Step-by-step explanation:

very simple applying the simple interest formula which is

$A = P (1 + rt)$

Given data

A, final amount = $10,000

P, initial principal balance= ?

r, annual interest rate = 7.5%

t, time (in years)= 8 years

we can substitute our given data to find the principal needed.

$10000= P(1+0.075*8)\\\10000= P(1.6)\\\$

Divide both sides by 1.6 we have

$P= \frac{10000}{1.6} \\\P= 6250$

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3 years ago

On the graph of y = x^ 2 - x - 2 represents

sineoko [7]

Hello,

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1. Vertex=(1/2,-9/4)
2. if x=0 then y=0²-0-2=-2
3.The roots:
x²-x-2=0
==>(x-1/2)²-9/4=0
==>(x-1/2-3/2)(x-1/2+3/2)=0
==>(x-2)(x+1)=0
x=2 or x=-1

4. axe of symmetry: x=1/2

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3 years ago

Find the area of the triangle

makkiz [27]

Answer:

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Step-by-step explanation:

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A =bh/2

A=14(12)/2

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A=84mm

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3 years ago