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VMariaS [17]
3 years ago
11

A tank containing 64 gallons lost 6 1/4 % through leakage. How much remained in the tank?

Mathematics
2 answers:
taurus [48]3 years ago
6 0

Answer: 60 gallon remained in the tank.

Step-by-step explanation:

Since, the initial quantity of the liquid in the tank = 64 gallon,

The quantity that is lost = 6 1/4 % of the initial quantity

= 25/4% of 64

= \frac{25/4\times 64}{100}

= \frac{1600/4}{100}

= \frac{1600}{400}

=  4  gallon,

Hence, the remaining quantity of the liquid = Initial quantity - Lost quantity

= 64 - 4 = 60 gallon.

NemiM [27]3 years ago
4 0
Hey you!

STEP 1: 6 1/4 = 6.25

STEP 2: 64*6.25% = 4 (64*6 1/4 = 4 as well).

STEP 3: 64 - 4 = 60

60 gallons of gas remained in the tank.
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Find the midpoint of the segment with the following endpoints.<br> (10,2) and (5, -7)
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(7.5 , -2.5)

Step-by-step explanation:

Sub the values into this formula

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If f(x) = 4x + 3(x – 7),<br> what is f(2x)? Simplify<br> your answer.
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Answer: -7 is the answer

Step-by-step explanation:

4(2)+3(2-7)

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4 times 2 is 8

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3 years ago
Which statement is true? A. A triangle can be congruent to a square. B. A rectangle can be congruent to a square. C. All circles
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<h3>♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫</h3>

➷ Congruent means it is the same shape and size. Therefore, A is incorrect as a triangle and a square aren't the same shape. The same applies to B. C is also incorrect as not all circles are the same size.

In short, the correct answer is option D. None of the above is true.

<h3><u>✽</u></h3>

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4 years ago
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professor190 [17]

Answer:

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Step-by-step explanation:

<u>Roots of a polynomial</u>

If we know the roots of a polynomial, say x1,x2,x3,...,xn, we can construct the polynomial using the formula

P(x)=a(x-x_1)(x-x_2)(x-x_3)...(x-x_n)

Where a is an arbitrary constant.

We know three of the roots of the degree-5 polynomial are:

x_1=0;\ x_2=\sqrt{7}\boldsymbol{i}:\ x_3=-2\boldsymbol{i}

We can complete the two remaining roots by knowing the complex roots in a polynomial with real coefficients, always come paired with their conjugates. This means that the fourth and fifth roots are:

x_4=-\sqrt{7}\boldsymbol{i}:\ x_3=+2\boldsymbol{i}

Let's build up the polynomial, assuming a=1:

P(x)=(x-0)(x-\sqrt{7}\boldsymbol{i})(x+\sqrt{7}\boldsymbol{i})(x-2\boldsymbol{i})(x+2\boldsymbol{i})

Since:

(a+b\boldsymbol{i})\cdot (a-b\boldsymbol{i})=a^2+b^2

P(x)=(x)(x^2+7)(x^2+4)

Operating the last two factors:

P(x)=(x)(x^4+11x^2+28)

Operating, we have the required polynomial:

\boxed{P(x)=x^5+11x^3+28x}

7 0
3 years ago
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Soloha48 [4]

Answer:

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Step-by-step explanation:

We know,

'Direct Variation function' is the function where two quantities vary directly i.e. variables x and y are said to be directly varying if 'y=kx' where k is the constant of variation.

Thus, from the options, we see that the function,

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y=\frac{1}{4}x is also varying directly with constant k=\frac{1}{4}

5 0
3 years ago
Read 2 more answers
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