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3 years ago

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2. The sum of two integers is 74. The larger is 26 more than twice the smaller. Find the two integers.

1 answer:

kompoz [17]3 years ago

4 0

74=x+y is the equation at the beginning we will say that x is the smaller number and y is the larger one. Now we substitute the larger number (y) for 26+2x. Plug that into the beginning equation to get 74= x+ 26+2x. Now solve.
74=3x+26
48=3x
16=x
So we know that our smaller number is 16. To find the larger number we plug the value of the smaller number into the equation for the larger number like this.
y=26+2x
y=26+2(16)
y=26+32
y=58.
So to check our answer we can plug in both values into the beginning equation.
74=58+16
74=74.
So to sum this up the smaller number is 16 and the larger number is 58.

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The elephant eats 220 pounds of food a day costing $45. The tax on the food is 12%. How much does the zoo spend on elephant food

professor190 [17]

Answer:

$50.4

Step-by-step explanation:

12% of 45 is 5.4

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3 years ago

18 2/5 - n = -10 1/3

Wewaii [24]

Answer:

The answer is $n=28\frac{11}{15}$ .

Step-by-step explanation:

Given:

18 2/5 - n = -10 1/3.

Now, to solve the equation:

$18\frac{2}{5} - n = -10 \frac{1}{3}$

Converting the mixed fractions to improper:

⇒ $\frac{92}{5} -n=-\frac{31}{3}$

Moving the numbers on one side and variable to the other:

⇒ $\frac{92}{5} +\frac{31}{3}=n$

Now, solving the factions:

⇒ $\frac{92\times 3+31\times 5}{15}=n$

⇒ $\frac{276+155}{15}=n$

⇒ $\frac{431}{15}=n$

⇒ $28\frac{11}{15}=n$

Therefore, the answer is $n=28\frac{11}{15}$ .

3 0

3 years ago

A trimming operation at a local manufacturer produces rods whose length conforms to unifrom distribution with a minimum of 18cm

MariettaO [177]

Answer:

The probability that randomly selected road will be at least 25.8 cm long will be 48%.

Step-by-step explanation:

Given: uniform distribution with min and max values of 18 and 33 respectively.

To find : probability density for upper cumulative frequency i.e 25.8 at least means x $\geq$ 25.8 upto 33 cm i.e the maximum limit of function.

Solution:

we have by definition , of uniform distribution

we get , probability density function defines as :

<em>F(x,a,b)= </em> $\frac{1}{b-a}$ <em> </em> $a\leq x\leq b$

=1/(33-18)=1/15=0.0667.

this is probability density function.

here the x=25.8 , a=18 and b=33

for lower cumulative frequency it defines as ;

P(x,a,b)= $\frac{x-a}{b-a}$ =25.8-18/33-18=0.52

for upper cumulative frequency it defines as ;

Q(x,a,b)=b-x/b-a=33-25.8/33-18=0.48

here at least 25.8 cm probability means it should be greater than a value(18cm) hence it is provided by the upper cumulative frequency

i.e. Q(x,a,b)=0.48

The probability that randomly selected road will be at least 25.8 cm long will be 48%.

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Answer:

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weqwewe [10]

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3 years ago