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kicyunya [14]
3 years ago
7

A sporting goods store sold 2.5 times as many footballs as basketballs last year. Which statement is true?

Mathematics
2 answers:
Yuri [45]3 years ago
3 0

THE ANWSER IS 2 CAUSE U HAVE TO DIVIDE


Aloiza [94]3 years ago
3 0

Answer:

3. There were 5 footballs sold for every 2 basketballs.

Step-by-step explanation:

Let the number of basketball = x and the number of football = y.

It is given that, 'the number of footballs were 2.5 times the number of basketballs last year'.

That is, y= 2.5x

That is, \frac{y}{x}=\frac{2.5}{1}

That is, \frac{y}{x}=\frac{5}{2}

That is, the ratio of football to basket ball is 5 : 2.

Which means, 'For every 2 basketballs, 5 footballs were sold'.

<em>So, option 3 is true but options 1 and 4 are not true.</em>

Moreover, 'if there were total 35 balls sold', we have,

x+y=35

i.e. x+2.5x=35

i.e. 3.5x=35

i.e. x= 10

So, y= 2.5x implies y= 2.5\times 10 i.e. y= 25.

Thus, for total 35 balls sold, 10 were basketballs and 25 were footballs.

<em>So, option 2 is not true.</em>

Hence, the correct answer is option D.

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vesna_86 [32]
First we write the mathematical model in a generic way:
 "The stopping distance of an automobile is directly proportional to the square of its speed v"
 d = kv ^ 2
 Where,
 k: proportionality constant.
 We now look for the value of K:
 d = kv ^ 2
 90 = k ((70) * (5280/3600)) ^ 2
 k = 90 / ((70) * (5280/3600)) ^ 2
 k = 0.008538539 s ^ 2 / feet
 The equation will then be:
 d = (0.008538539) * v ^ 2
 For v = 71 miles per hour we have:
 d = (0.008538539) * ((71) * (5280/3600)) ^ 2
 d = 92.6 feet
 Answer:
 a mathematical model that gives the stopping distance in terms of its speed v is:
 d = (0.008538539) * v ^ 2
 The stopping distance if the brakes are applied when the car is traveling at 71 miles per hour is:
 d = 92.6 feet
3 0
3 years ago
4
Vitek1552 [10]

Answer: 48

Step-by-step explanation:

12x4=48

6 0
3 years ago
Uhhhhhh????????????!
mariarad [96]

Answer:

2y + 3 = 4y + 2; y = 1/2

Step-by-step explanation:

to find this equation we can use the ys and the 1s to create an equation

so

in the left side

there are 2 ys and 3 1s

your equation is

2y + 3

on the other side

it is

4 ys and 2 1s

so

4y + 2 is your equation

then yo uset them equal to each other

2y + 3 = 4y + 2

if you must solve

subtract 2y and 2 from both sides

1 = 2y

then divide both sides by 2

y = 1/2 is your answer

8 0
2 years ago
Solve using substitution x=(3y+1) and x+4y=15
natka813 [3]

The solution is: x= 7 and y = 2

Step-by-step explanation:

Given equations are:

x = 3y+1\ \ \ \ Eqn\ 1\\x+4y = 15\ \ \ \ Eqn\ 2

Putting x = 3y+1 in equation 2 from equation 1

3y+1+4y = 15\\7y+1 = 15\\

Subtracting 1 from both sides

7y+1-1 = 15-1\\7y = 14

Dividing both sides by 7

\frac{7y}{7} =\frac{14}{7}\\y = 2

Putting y=2 in equation 1

x = 3(2) +1\\x = 6+1\\x = 7

Hence,

The solution is: x= 7 and y = 2

Keywords: Linear equations, substitution method

Learn more about linear equations at:

  • brainly.com/question/4706270
  • brainly.com/question/4710621

#LearnwithBrainly

3 0
3 years ago
Jennifer had $256.86 in her bank account. She made a deposit of $43.78. What is her new bank account balance?
NARA [144]

Answer:

$300.64

Step-by-step explanation:

Step one:

Given data

Jennifer had $256.86

She made a deposit of $43.78

Required

The total amount in the account

Step two:

To get the balance, we need to sum the previous amount with the deposited amount

Total= 256.86 +43.78

Total=$300.64

The balance is $300.64

7 0
3 years ago
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