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bonufazy [111]
3 years ago
12

Please help! What is ​ 4 9/10 ​ expressed as a decimal? Enter your answer in the box.

Mathematics
2 answers:
stira [4]3 years ago
8 0

Answer: 4.9

Step-by-step explanation:

You can use a calculator but I'll show you the step by step.

First, 4 \frac{9}{10} is a mixed number. To be able to divide it, convert it to an improper fraction. You can do this by multiplying the big number by the denominator and adding the numerator; all of this over the same denominator.

\frac{4*10+9}{10}=\frac{40+9}{10}=\frac{49}{10}

Now, divide:

49/10=4.9

40

---------

  9'0

   90

  ----------

    -

enyata [817]3 years ago
3 0

Answer:

4.9

Step-by-step explanation:

4 9/10

9/ 10 = 0.9

So 4.9

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I have two fair dice both numbered 1 to 6. I throw both dice and add both numbers together. What is the probability that the num
Alex17521 [72]

Answer:7/36

Step-by-step explanation:

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7 0
3 years ago
Find the value of x 3x+6 41 6x-5 4x+7 62 7x-11
padilas [110]

Answer:

13

Step-by-step explanation:

Simplifying

3x + 6 + 7x + -11 + 41 + 62 + 6x + -5 + 4x + 7 = 360

Reorder the terms:

6 + -11 + 41 + 62 + -5 + 7 + 3x + 7x + 6x + 4x = 360

Combine like terms: 6 + -11 = -5

-5 + 41 + 62 + -5 + 7 + 3x + 7x + 6x + 4x = 360

Combine like terms: -5 + 41 = 36

36 + 62 + -5 + 7 + 3x + 7x + 6x + 4x = 360

Combine like terms: 36 + 62 = 98

98 + -5 + 7 + 3x + 7x + 6x + 4x = 360

Combine like terms: 98 + -5 = 93

93 + 7 + 3x + 7x + 6x + 4x = 360

Combine like terms: 93 + 7 = 100

100 + 3x + 7x + 6x + 4x = 360

Combine like terms: 3x + 7x = 10x

100 + 10x + 6x + 4x = 360

Combine like terms: 10x + 6x = 16x

100 + 16x + 4x = 360

Combine like terms: 16x + 4x = 20x

100 + 20x = 360

Solving

100 + 20x = 360

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-100' to each side of the equation.

100 + -100 + 20x = 360 + -100

Combine like terms: 100 + -100 = 0

0 + 20x = 360 + -100

20x = 360 + -100

Combine like terms: 360 + -100 = 260

20x = 260

Divide each side by '20'.

x = 13

Simplifying

x = 13

4 0
3 years ago
Ship A and Ship B are 120 km apart when they pick up a distress call from another boat. Ship B estimates that they are 70 km awa
oksian1 [2.3K]

Answer:

147.5 km and 64.4 km

Step-by-step explanation:

a=120  km

b=70  km

β=28 degrees ( ∘)

 

b^2=(a^2)+(c^2)−2ac*cosβ  

70^2 =(120^2 )+(c^2)−2⋅ 120⋅ c⋅ cos(28∘ )  

 (c^2 ) −211.907c+9500=0  

 

note p, q, and r are replacement variables in the Pythagorean theorem since a, b, and c are already in use

p=1;q=−211.907;r=9500  

D=(q^2 ) −4pr=(211.907^2 )−4⋅1⋅9500=6904.75561996  

D>0  

 

c_{1,2}  =   (−q±  \sqrt{D}   )/2p=(211.91±\sqrt{6904.76})/2

​c_{1,2}  =105.95371114±41.5474295834  

(c_{1}−147.501140726)(c_{2}−64.4062815596)=0

c_{1}=147.501140726  

c_{2}=64.4062815596  

5 0
3 years ago
S(x)= 22x-8 and f(x)= -5. What is s(x) x f(x)?
zloy xaker [14]
-110x+40
You need to use the distributive property for this problem
You multiply 22x times -5 (which is -110x) and -8 times -5 (which is 40) to get -110x+40
6 0
3 years ago
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