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romanna [79]
3 years ago
5

Alexander is a high school basketball player. In a particular game, he made some two point shots and some three point shots. Ale

xander scores a total of 14 points and made twice as many two points shots Alexander made and the number of three points shots he made
Mathematics
1 answer:
andrezito [222]3 years ago
7 0

Answer:

2 three points shots and 4 two points shots

Step-by-step explanation:

Let x be the number of three points shots.

Alexander  made twice as many two points shots as three points shots, so the number of two points shots is 2x.

Amount earned in three points shots =3\cdot x

Amount earned in two points shots =2\cdot (2x)=4x

Total score =3x+4x=7x

Alexander scores a total of 14 points, then

7x=14\\ \\x=2\\ \\2x=2\cdot 2=4

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Joan and her brother Justin left a hotel at the same time, driving in opposite directions at constant rates. After traveling for
inessss [21]

Answer:

Joan drive with a speed of 55 miles per hour.

Step-by-step explanation:

Given:- Travelling time (t) = 4 hours.

Travelled distance (d) = 480 miles.

Speed of Justin is 10 miles per hour faster than Joan.

To find:- Speed of Joan = ?

Solution:-

Let speed of Joan be x,

therefore speed of Justin = x+10          ---------------(from given)

Now, Total speed of Joan and Justin = x+x+10

Total speed of Joan and Justin = 2x+10 ------------(1)

Now formula for speed is,

Speed = \frac{distance}{time}

2x+10=\frac{480}{4}                        -------------(from 1 and given)

2x+10=120

2x=120-10

2x=110

\therefore x=\frac{110}{2}

\therefore x= 55

as x is the speed of Joan,

Therefore Joan drive with a speed of 55 miles per hour.

6 0
2 years ago
Read 2 more answers
Two opposite sides of a rectangle are each of length x. If the perimeter of the rectangle is 12, then the area, as a function of
Reil [10]

Answer: x(6-x)

Step-by-step explanation:

Given : Two opposite sides of a rectangle are each of length x.

Let the other adjacent side be y.

The perimeter of the rectangle is 12 units.

Perimeter of rectangle is given by :-

P=2(\text{Sum of adjacent sides})\\\\\Rightarrow\ 12=2(x+y)\\\\\Rightarrow\ x+y=\dfrac{12}{2}=6\\\\\Rightarriow\ y=6-x

The area of rectangle is given by :-

A=\text{product of two adjacent sides}\\\\\Rightarrow\ A=xy=x(6-x)

Hence, the area as a function x = x(6-x)

7 0
3 years ago
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2a is any number a multiplied by the number 2. Calculate the value of 2a for a = 7.
marshall27 [118]

Answer:

14

Step-by-step explanation:

step 1.

substitute 'a' with 7

You are then left with a multiplication problem.

step 2.

solve 2 × 7

answer is 14

3 0
2 years ago
Find the rate of change that represents the relationship in the table:
crimeas [40]

Answer:

C. 8/1 (simplified is 8)

Step-by-step explanation:

X rate of change= +1

Y rate of change= +8

Y over X

8/1

7 0
2 years ago
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Does this table represent a function? Why or why not?
solniwko [45]

Answer:

D

Explanation:

Same x values cannot correspond to any y values. Also if u plotted the points, the vertical line test would fail.

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3 years ago
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