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velikii [3]
2 years ago
13

7B2%7D%20" id="TexFormula1" title="3 \frac{1}{2} + 2 \frac{1}{4} - 1 \frac{1}{2} " alt="3 \frac{1}{2} + 2 \frac{1}{4} - 1 \frac{1}{2} " align="absmiddle" class="latex-formula">
​
Mathematics
1 answer:
Svetach [21]2 years ago
5 0

Answer:

Step-by-step explanation:

Step 1: Convert into improper fractions

Step 2: Find  least common denominator and find equivalent fractions

Step 3 : Do the required operation

3\frac{1}{2}+2\frac{1}{4}-1\frac{1}{2}=\frac{7}{2}+\frac{9}{4}-\frac{3}{2}\\

Least common denominator of 2 , 4 = 4

   =\frac{7*2}{2*2}+\frac{9}{4}-\frac{3*2}{2*2}\\\\=\frac{14}{4}+\frac{9}{4}-\frac{6}{4}\\\\=\frac{14+9-6}{4}\\\\=\frac{17}{4}\\\\=4\frac{1}{4}

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Formulate the situation as a system of two linear equations in two variables. Be sure to state clearly the meaning of your x- an
adoni [48]

Answer: 1000 hot dogs and and 1600 sodas were sold.

Step-by-step explanation:

Let x be the number of hot dogs and y be the number of sodas.

Given : The concession stand at an ice hockey rink had receipts of $6200 from selling a total of 2600 sodas and hot dogs.

Each soda sold for $2 and each hot dog sold for $3 .

Then, we have the following system of two linear equations:-

x+y=2600-----------(1)\\\\3x+2y=6200-----------(2)

Multiplying 2 on both sides of (1), we get

2x+2y=5200------------(3)

Now, Eliminate equation (3) from equation (2), we get

x=1000

Put x=1000 in (1), we get

1000+y=2600\\\\\Rightarrow\ y=2600-1000=1600

Hence, 1000 hot dogs and and 1600 sodas were sold.

4 0
3 years ago
In the service department of the Glenn-Mark Auto Agency, mechanics requiring parts for auto repair or service present their requ
Anton [14]

Answer:

the average time spend is 0.111

Step-by-step explanation:

The computation of the average time spend is as follows;

Arrival rate is

= 210 ÷ 10

= 21 per hour

Now the service rate is

= 60 ÷ service time

= 60 ÷ 2 minutes

= 30 per minute

And, finally the average time spend is

= 1 ÷ (service rate - arrival rate)

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Hence, the average time spend is 0.111

6 0
3 years ago
An event that has probability 1 <br>is said to be<br>​
mafiozo [28]

Answer:

guaranteed to occur

Step-by-step explanation:

An event that has a probability of 1 or in other terms P(E) = 1 is said to be guaranteed to occur. This is basically stating that the event has a 100% chance of happening, meaning that no matter what the external factors turn out to be in the scenario, the event will occur regardless. 1 basically represents 100%, while lower values such as 0.5 represent 50% when dealing with these probabilities.

7 0
3 years ago
2. Circle C, has center (0,0) and radius 2.
adell [148]

Answer:

2. x ²  +  y ² =  4

3. x² + y² = 23

Step-by-step explanation:

The equation of a circle with center  

( a , b )  and radius  r  is:

( x − a )²   +  ( y − b ) ² =  r ²

Explanation:

Here,

 a = 0 ,  b = 0 ,  r = 2  

The equation is:

( x -0 ) ² +  ( y -0 ) ² =  ( 2  ) ²

that is:  x ²  +  y ² =  4  

Thus:

x ²  +  y ² =  4

3. Each point on a circle has the same distance from the center. This distance is the radius  r  of the circle.

 Here, ( -3 , 4 )  is a point on the circle, meaning that the radius of the circle is the distance between  ( 0 , 0 ) , the center, and  ( -3 , 4 ) .

thus  a circle centered on the origin will have an equation of:

x² + y² =r²

And,  ( -3 , 4 )  lies on the circle, we have:

(-3)² + (4)² = r²

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substituting;

x² + y² = 23

8 0
2 years ago
A 4-pint carton of sour cream costs $9.12. What is the price per cup?
Mamont248 [21]
1 pint = 2 cups

1 pint x 4 & 2 cups x 4

4 pints = 8 cups

9.12/8

1.14

$1.14 per cup
5 0
2 years ago
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