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3 years ago

What expression is equivalnt to x +14 +9x-5

Mathematics

1 answer:

elena55 [62]3 years ago

5 0

10x+9 hope it helps

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Use geometric series to find the fraction of 0.8967898989

Sliva [168]

I'm guessing the repeating part is 89 at the end, so that

$x=0.8967\overline89\implies10^4x=8967.\overline{89}$

Then

$10^4x=8967+\displaystyle89\sum_{i=1}^\infty\frac1{100^i}$

$10^4x=8967+89\left(\dfrac1{1-\frac1{100}}-1\right)$

$10^4x=8967+\dfrac{89}{99}$

$x=\dfrac{8967}{10^4}+\dfrac{89}{99\cdot10^4}$

$x=\dfrac{443911}{495000}$

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An arguably quicker way without using geometric series:

$10^4x=8967.\overline{89}$

$10^6x=896789.\overline{89}$

$10^6x-10^4x=887822$

$x=\dfrac{887822}{10^6-10^4}=\dfrac{443911}{495000}$

8 0

3 years ago

the price of grapes at the grocery store is 1.44 per pound. There are approximately 0.45 kilograms in a pound. To the nearest pe

4vir4ik [10]

1 kg = 1pound/0.45=2.2222(2) pounds
1.44*2.222(2)=3.11 dollars per kilogram
Price of grapes is 3.11 dollars per kilogram

6 0

3 years ago

Use the Law of Sines to solve the triangle. Round your answers to two decimal places.

mario62 [17]

Answer:

Step-by-step explanation:

The Law of Sines is

$\frac{sinA}{a}=\frac{sinB}{b}=\frac{sinC}{c}$

Filling in what we are given:

$\frac{sin(110.8)}{25.3}=\frac{sin(18.2)}{c}$

Cross multiply to get

$csin(110.8)=25.3sin(18.2)$ and divide to solve for side c:

$c=\frac{25.3sin(18.2)}{sin(110.8)}$ which gives you that

c = 8.45

We know that angle B has to be the difference between 180 and angle A and angle C, so

angle B = 51

Now we can solve for side b:

$\frac{sin(110.8)}{25.3}=\frac{sin(51)}{b}$ and

$b=\frac{25.3sin(51)}{sin(110.8)}$ and

b = 21.03

8 0

2 years ago

Stu jogs at a rate of 5 mi/h how far must he jog to burn 418.5 calories.9.3 calories per min

boyakko [2]

Answer:

the answer is 45 minutes

4 0

3 years ago

What does the transformation (x,y) (x+2,y-5) represent?

Vanyuwa [196]

The x would move to the right by 2 units, and the y would move down -5 units.

6 0

3 years ago