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quester [9]
3 years ago
9

Fill in the blank with a symbol that makes this statement true please help with my homework

Mathematics
2 answers:
nekit [7.7K]3 years ago
3 0
<span> 2.5=2 1/2 = 5/2
2/5 = 0.4
bring to decimals 2.5 >0.4
because by dropping the decimal points we gave 25>4
compering by fraction 2 1/2 = 5/2
2/5
bring to a common denominator of 10  5(5) / 2(5); 2(2) / 5(2)=>
25/10; 4/10
compare numerators 25>4

</span>
torisob [31]3 years ago
3 0
Denominator 2 is a prime number
Denominator 5 is a prime number
<span>LCM (2, 5) = 2 * 5 = 10
</span>For fraction: 1 / 2 is 10 : 2 = (2 * 5) : 2 = 5
<span>For fraction: 2 / 5 is 10 : 5 = (2 * 5) : 5 = 2
</span>1 / 2 = (5 * 1) / (5 * 2) = 5 / 10
<span>2 / 5 = (2 * 2) / (2 * 5) = 4 / 10
</span><span>4 / 10 < 5 / 10
</span><span>2 / 5 < 1 / 2</span>
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A bag contains n blue and m red marbles. You randomly pick a marble from the bag, write down its color, and then put the marble
Oksana_A [137]

Answer:

(mn+n²)/(m+n)

Step-by-step explanation:

probability of blue marble= n/(n+m)

probability of red marble= m/(n+m)

probability that process stops = Probability of both blue + probability of both red=  n/(n+m) × n/(n+m) + m/(n+m)×m/(n+m)

                        = (n²+m²)/(n+m)²

P(1st marbel is blue)= P(blue and red) + P(blue and blue)

                                  = mn/(n+m) + n²/(n+m)

                                   = (mn+n²)/(m+n)

P(1st marble is blue | process stops)= ( (mn+n²)/(m+n)× (n²+m²)/(n+m)²)/ ((n²+m²)/(n+m)²)

= (mn+n²)/(m+n)

3 0
3 years ago
An experience bricklayer can construct a small wall in 3 hours. An apprentice can complete the job in 5 hours. Find how long it
Over [174]

Answer:

Step-by-step explanation:

If the bricklayer can construct the wall in its entirety in 3 hours, then he can get 1/3 of the job done in an hour.

If the apprentice can get the whole job done in 5 hours, then he can get 1/5 of the job done in an hour. If they both work together on said job, the equation is

\frac{1}{3}+\frac{1}{5}=\frac{1}{x} and now we solve for x. Multiply everything by the LCM to get rid of the fractions. That would be 15x:

15x(\frac{1}{3}+\frac{1}{5}=\frac{1}{x}) and doing that gives us

5x + 3x = 15 and

8x = 15 so

x = 1.875 hours which is 1 7/8 hours which is also 1 hour and 52 1/2 minutes.

3 0
2 years ago
Which of the following graphs shows the<br> solution set to 2x &lt; 6 and 3x + 2 &gt;<br> -4?
Ilya [14]

Answer:

The third picture

Step-by-step explanation:

Solve for x in both equations

2x<6

Divide both sides by 2:

x<3

3x+2>-4

Subtract 2 from both sides:

3x>-6

Divide both sides by 3:

x>-2

There is this trick you can use when x is on the left side of the equation to find out which way to shade in you graph. Keep in mind this is only for the left side, it will not work if your variable is on the right.

When the symbol is facing left < then shade left, imagine it is pointing which way to shade. x<3 is represented by the 3 picture on the left. When the symbol is facing right > then shade right, again it is pointing which way to shade. x>-2 is represented by the 3 picture on the right.

The circles are not filled in because the symbol is < and > rather than \leq  and \geq. When it is greater than or equal to or less than and equal to (represented by the line under the symbol), then the circle is shaded in.

5 0
2 years ago
Write an exponential function in the form y=ab^x that goes through points (0,7) and (5,1701).
Marizza181 [45]

Answer:

y = 7 3^{x}

Step-by-step explanation:

Use the given ordered pairs to find a and b

Using (0, 7 ), then

7 = a b^{0} ( b^{0} = 1 ), thus

a = 7

y = 7 b^{x}

Using (5, 1701 )

1701 = 7 b^{5} ( divide both sides by 7 )

243 = b^{5} ( take the fifth root of both sides )

b = \sqrt[5]{243} = 3 , thus

y = 7 3^{x}

3 0
3 years ago
Alan bought 20 yards of fencing. He used 5.9 yards in one garden and 10.3 in another. Write remaining as a fraction in simplest
Over [174]
Its 3.8 because if you add 5.9 and 10.3 is 16.2, and if you subtract it by 20, it should equal 3.8.
7 0
3 years ago
Read 2 more answers
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