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Vinvika [58]
2 years ago
11

Hailey is a high school basketball player. In a particular game, she made some three point shots and some free throws (worth one

point each). Hailey scored a total of 14 points and made 4 times as many free throws as three point shots. Write a system of equations that could be used to determine the number of three point shots Hailey made and the number of free throws she made. Define the variables that you use to write the system.
Mathematics
2 answers:
NISA [10]2 years ago
8 0

Answer: the system of equations are

3x + y = 14

y = 4x

Step-by-step explanation:

Let x represent the number of three point shots that Hailey made.

Let y represent the number of free throws(worth one point each) that Hailey made.

Hailey made some three point shots and some free throws and

scored a total of 14 points. This would be expressed as

3x + y = 14

Hailey made 4 times as many free throws as three point shots. This would be expressed as

y = 4x

stiv31 [10]2 years ago
8 0

Answer:

3x + y = 14

4x = y

Step-by-step explanation:

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Each quart of paint costs $8 and covers 90 square feet. Find the total cost to paint this wall once. Justify your answer
Galina-37 [17]

Answer:

$16

Step-by-step explanation:

4 0
2 years ago
What is the numerator of the simplified sum? StartFraction x Over x squared + 3 x + 2 EndFraction + StartFraction 3 Over x + 1 E
ozzi

Answer:

4x + 6

Step-by-step explanation:

Given

\frac{x}{x^2+3x+2} + \frac{3}{x+1}

Before we can add the fractions we require them to have a common denominator.

Factor the denominator of the first fraction

\frac{x}{(x+1)(x+2)} + \frac{3}{x+1}

Multiply the numerator / denominator of the second fraction by (x + 2)

= \frac{x}{(x+1)(x+2)} + \frac{3(x+2)}{(x+1)(x+2)} ← fractions now have a common denominator

Add the numerators leaving the denominators

= \frac{x+3(x+2)}{(x+1)(x+2)}

= \frac{x+3x+6}{(x+1)(x+2)}

= \frac{4x+6}{(x+1)(x+2)} ← simplified sum with numerator 4x + 6

7 0
2 years ago
Emily is a songwriter who collects royalties on her songs whenever they are played in a commercial or a movie. Emily will earn $
Hitman42 [59]

Answer:

(6,2)

Step-by-step explanation:

Variable Definitions:

​x= the number of commercials

y= the number of movies

Each commercial earns Emily $50, so x commercials would earn her 50x dollars in royalties. Each movie earns Emily $150, so y movies would earn her 150y dollars in royalties. Therefore, the total royalties 50x+150y equals $600:

50x+150y=600

Since Emily's songs were played on 3 times as many commercials as movies, if we multiply 3 by the number of movies, we will get the number of commercials, meaning x equals 3y.

x=3y

Write System of Equations:

​50x+150y=600

x=3y

Solve for y in each equation:

1)  50x+150y=600

   150y=−50x+600

   y=-1/3x+4

2)  x=3y

    y=1/3x

The x variable represents the number of commercials and the yy variable represents the number of movies. Since the lines intersect at the point (6,2) we can say:

Emily's songs were played on 6 commercials and 2 movies.

​

 

4 0
2 years ago
4/9 divided by what equals 12?<br> :)
liraira [26]

Answer:

(4/9)/x = 12

(4/9) = 12x

Divide both sides by 12

27 is right

<h2>hope it help</h2>
4 0
2 years ago
Read 2 more answers
How close are a meter and a yard? Convert, 1 meter into yards by using the fact that there are 100 centimeters in a meter, 2.54
Sveta_85 [38]

Answer:

To convert 1 meter into yards

Using the given facts : 100 centimeters in a meter, 2.54 centimeters in an inch, 12 inches in a foot, and 3 feet in a yard.

we can write these as;

1 m = 100 cm

1 inches = 2.54 cm

1 ft = 12 inches and

1 yard = 3 ft

1 ft = 12 inches

3 ft = 3 \times 12 = 36 inches

Since,

1 inches  = 2.54 cm

36 inches = 91.44 cm

Also,

1 m = 100 cm

or

1 cm = \frac{1}{100} m

then;

91.44 cm = \frac{91.44}{100} =0.9144 m

⇒ 1 yards = 0.9144 m

Divide both sides by 0.9144 we get;

1 meter = \frac{1}{0.9144} = 1.0936133 yards.

Therefore, the answer is, 1 m =  1.1 yards (nearest to tenth)


5 0
2 years ago
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