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mote1985 [20]
3 years ago
13

Uncle drew scored 28 points in 5 5/6 minutes during a game of basketball.

Mathematics
2 answers:
Lina20 [59]3 years ago
8 0

The answer is \frac{24}{5} = 4\frac{4}{5} points per minute

kipiarov [429]3 years ago
4 0

Answer:

4.8 points

Step-by-step explanation:

To solve this question, we can use proportionality.

From the question above, uncle drew scored 28 points in  5 5/6 minutes, we are to find the number of points he got in 1 minute.

First we convert 5 5/6 from its mixed number to an improper fraction;

5 5/6 =  35  /   6

Let x = the number of point uncle drew scored in a minute

35/6  minutes   = 28 points

 1 minute           =     x

cross multiply

\frac{35}{6}   ×   x     =      28

\frac{35x}{6}   =   28

To get the value of x, we will have to multiply both-side of the equation by \frac{6}{35}

Hence;

\frac{6}{35}  ×  \frac{35x}{6}   =  28 ×  \frac{6}{35}

               x   =   28 × 6    /     35

              x   =\frac{168}{35}

             x  =  4.8 points

Therefore, uncle drew scored 4.8 points per minute

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Determine if the solution set for the system of equations shown is the empty set, contains one point or is infinite. 5x+7=2y and
Luda [366]

Answer:

The correct option is option B. It has one solution, and it's x=-3

Step-by-step explanation:

We have the following system of equations:

5x+7 = 2y                        (1)

y-9x=23                            (2)

Step 1: Solve for 'y' in equation (2):

y-9x = 23

y = 9x + 23

Step 2: Substitute in equation (1):

5x + 7 = 2y

5x + 7 = 2(9x + 23)

5x + 7 = 18x + 46

Step 3: Solve for x:

7 - 46 = 18x - 5x

-39 = 13x

x= -3

So the correct option is option B. It has one solution, and it's x=-3

7 0
3 years ago
Read 2 more answers
Together, Kyle and Tyler traveled 425 miles to the beach. If Kyle traveled 240 miles, how far did Tyler travel? A) 2x = 425 B) x
Snezhnost [94]

Answer:

the answer is x=185

Step-by-step explanation:

x+240=425

 -240  -240

x= 185

3 0
3 years ago
Read 2 more answers
If x = 9, what is the value<br> of 7x + 4?
Vika [28.1K]

Answer:

67

Step-by-step explanation:

7x9=63

63+4=67

5 0
2 years ago
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Bought a new car lately? The following table presents the number of vehicles sold in a certain country by several manufacturers
ella [17]

Answer:

The Relative Frequency Table is:

<u>  Manufacturer         Relative Frequency  </u>

General Motors                  0.242

      Ford                              0.208

Chrysler LLC                       0.148  

     Toyota                           0.177

     Honda                            0.116

     Nissan                            0.109

Step-by-step explanation:

To find out the relative frequency we need to use the formula:

Relative Frequency = Frequency / Sum of All Frequencies

We can find the sum of all the frequencies by adding all the sales for the year 2013.

Sum of Frequencies for 2013 = 225,650 + 194,068 + 138,085 + 164,423 + 107,526 + 101,113

Sum of Frequencies for 2013 = 930865 cars

Now we can compute the relative frequencies for each of the manufacturers as follows:

General Motors: 225650/930865 = 0.242

Ford: 194068/930865 = 0.208

Chrysler LLC: 138085/930865 = 0.148

Toyota: 164423/930865 = 0.177

Honda: 107526/930865 = 0.116

Nissan: 101113/930865 = 0.109

Relative Frequency Distribution Table for the 2013 sales:

Manufacturer         Relative Frequency

General Motors                  0.242

      Ford                              0.208

Chrysler LLC                       0.148  

     Toyota                           0.177

     Honda                            0.116

     Nissan                            0.109

3 0
3 years ago
Jerry planted a pine tree that was 5 feet tall and a maple tree that was 10 feet tall. The pine tree grew 3 feet taller per year
stich3 [128]

The initial length of the pine tree=5 feet.

Groth rate of pine tree =3 feet/year.

The initial length of the pine tree =10 feet.

Groth rate of the maple tree =2 feet/year.

After x years, the height of the pine tree= 5+3x feet and

after x years, the height of the maple tree= 10+2x feet.

The inequality for which, after x year, the pine tree is taller than the maple tree is

5+3x>10+2x

\Rightarrow x>5 .

The inequality for which, the pine tree is at least as tall as the maple tree is 5+3x\geq10+2x.

\Rightarrow x\geq 5 .

Again, after 3x years, the height of the pine tree= 5+3(3x)=5+9x feet and

after 2x years, the height of the maple tree= 10+2(2x)=10+4x feet.

The inequality for which, after 3x years, the pine tree is taller than the maple tree was after 2x years is

5+9x>10+4x

\Rightarrow 5x>5

\Rightarrow x>1.

The inequality for which, the pine tree is at least as tall as the maple tree is 5+9x\geq10+4x.

\Rightarrow 5x\geq5

\Rightarrow x\geq 1.

5 0
3 years ago
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