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3 years ago

17 13/18 divided by 2 7/9

Mathematics

1 answer:

erik [133]3 years ago

7 0

let's firstly convert the mixed fractions to improper fractions and then divide.

$\bf \stackrel{mixed}{17\frac{13}{18}}\implies \cfrac{17\cdot 18 +13}{18}\implies \stackrel{improper}{\cfrac{319}{18}}~\hfill \stackrel{mixed}{2\frac{7}{9}}\implies \cfrac{2\cdot 9+7}{9}\implies \stackrel{improper}{\cfrac{25}{9}} \\\\[-0.35em] ~\dotfill$

$\bf \cfrac{319}{18}\div \cfrac{25}{9}\implies \cfrac{319}{\underset{2}{~~\begin{matrix} 18 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}}\cdot \cfrac{\stackrel{1}{~~\begin{matrix} 9 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}}{25}\implies \cfrac{319}{50}\implies 6\frac{19}{50}$

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32 what value of x is the equation 2^2x+ 7 = 2^15true?

Talja [164]

Value of x = 7.499

Step-by-step explanation:

We need to find value of x in the equation: $2^{2x}+ 7 = 2^{15}$

This can be solved using natural log

Solving:

$2^{2x}+ 7 = 2^{15}$

Subtract 7 from both sides:

$2^{2x}+ 7-7 = 2^{15}-7$

Simplifying:

$2^{2x}=32768-7$

$2^{2x}=32761$

Using rule if f(x)=g(x) then, ln(f(x))=ln(g(x))

So,

$ln(2^{2x})=ln(32761)$

Applying log rule: logₐ(x^b)= b logₐ(x)

$2x(ln(2))=ln(32761)$

Divide both sides by 2ln(2)

$2x(ln(2))=[tex]\frac{2x(ln(2))}{2(ln(2))}=\frac{ln(32761)}{2(ln(2))} \\x=\frac{ln(32761)}{2(ln(2))}\\Rewriting\,\,32761\,\,as 181^2\\x=\frac{ln(181^2)}{2(ln(2))}\\x=\frac{2ln(181)}{2(ln(2))}\\x=\frac{ln(181)}{ln(2)}\\x=7.499$

So, Value of x = 7.499

Keywords: Solving Equations

Learn more about Solving Equations at:

#learnwithBrainly

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4 years ago

A bus makes a stop at 2:30, letting off 11 people and letting on 8. The bus makes another stop ten minutes later to let off 5 mo

Dafna11 [192]

Answer:

The actual number of passengers on the bus falling by 8 after the second stop

Step-by-step explanation:

Assume that the total passengers on the bus before 2:30 was x

At 2:30:

11 passengers got off and 8 got on.

So, the number of passengers

= x - 11 + 8

= x - 3

10 minutes later:

5 passengers got off the bus

So, the number of passengers

number of passengers = (x - 3) - 5

number of passengers = x - 8

now by comparing,

The actual number of passengers on the bus falling by 8 after the second stop

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3 years ago

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soldier1979 [14.2K]

Answer: Step-by-step explanation:

1. Given f(x) = 6x2 – 7x – 3

To find the zeros

Let us put f(x) = 0

⇒ 6x2 – 7x – 3 = 0

⇒ 6x2 – 9x + 2x – 3 = 0

⇒ 3x(2x – 3) + 1(2x – 3) = 0

⇒ (2x – 3)(3x + 1) = 0

⇒ 2x – 3 = 0 Or 3x + 1 = 0

x = 3/2 x = -1/3

It gives us 2 zeros, for x = 3/2 and x = -1/3

Hence, the zeros of the quadratic equation are 3/2 and -1/3.

Now, for verification

Sum of zeros = – coefficient of x / coefficient of x2

3/2 + (-1/3) = – (-7) / 6 7/6 = 7/6

Product of roots = constant / coefficient of x2

3/2 x (-1/3) = (-3) / 6 -1/2 = -1/2

Therefore, the relationship between zeros and their coefficients is verified.

2.Let f(x) = 3x2 ˗ x ˗ 4 = 0

3x2 ˗ 4x + 3x ˗ 4 = 0

⇒ x(3x ˗ 4) + 1 (3x ˗ 4) = 0

⇒ (3x ˗ 4) (x + 1) = 0

To find the zeroes

(3x ˗ 4) = 0 or (x + 1) = 0

x = 4/3 or x=-1

So, the zeroes of f(x) are 4/3 and x=-1

Again, Sum of zeroes = 4/3 + (-1) = 1/3 = -b/a =

=(-Coefficient of x)/(Cofficient of x2)

Product of zeroes = 4/3 x (-1) = -4/3 = c/a=

= Constant term / Coefficient of x2

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3 years ago

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kirill115 [55]

Answer:

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Step-by-step explanation:

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3 years ago

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melisa1 [442]

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Then for 8 days:

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On multiplying we get,

x = 2.4

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4 years ago