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faltersainse [42]
4 years ago
9

A baseball team played 154 regular season games. The ratio of the number of games they won to the number of games they lost was

four thirds. How many games did they​ win? How many games did they​ lose?
Mathematics
1 answer:
faltersainse [42]4 years ago
6 0

a.

Let

5x = number of games won

2x = number of games lost

The total number of win and lose is 154. So

5x + 2x = 154

Solving for x,

7x = 154

x = 22

Therefore, the number of games won is 5*22=110 and the number of games lost is 2*22 is 44.

b.

Let

6x = first side of the triangle

7x = second side of the triangle

9x = third side of the triangle

The perimeter of a triangle is the total of all sides. So,

6x + 7x + 9x = 88

22x = 88

x = 4

Therefore, the three lengths of the side are 6*4=24, 7*4=28, and 9*4 = 36

Read more on Brainly.com - brainly.com/question/872209#readmore

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A customer requires a car service for 80 miles,
Xelga [282]

Answer:

$25

Step-by-step explanation:

Derive an equation to represent the cost of using each ride.

Sal's Car Rides:

Using 2 pairs of values from the table, (0, 40) and (20, 80), find the slope, m (fee per mile).

m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{80 - 40}{20 - 0} = \frac{40}{20} = 2

The y-intercept, b, is the one-time fee for fuel. This is the value of the cost ($) when number of miles traveled is 0.

Thus, b = 40.

Substitute m = 2, and b = 40 into y = mx + b.

Equation for the total cost for Sal's Car Rides would be:

y = 2x + 40.

Find the total cost to be charged if a customer requires the a car service for 80 miles if he chooses Sal's Car Rides.

Simply substitute x = 80 in y = 2x + 40.

y = 2(80) + 40 = 200

The customer would pay $200.

Ray's Limo:

The equation that represents the total cost (y) to be charged for number of miles (x), given that $2.50 is charged per mile plus a one-time fee of $25 for fuel, would be:

y = 2.5x + 25.

If a customer uses Ray's Limo services for 80 miles, the cost charged would be:

Substitute x = 80 in y = 2.5x + 25.

Thus:

y = 2.5(80) + 25 = 225.

The fee the customer would pay = $225 for using Ray's Limo services.

Therefore, if the customer takes Sal's Car Rides instead of Ray's Limo, he would save, $225 - $200 = $25.

The customer would save $25.

8 0
3 years ago
which of the following could be side lenths of a right triangle? A.) 0.9cm, 1.2cm, 1.5cm B.) 0.9cm, 1.5 cm, 1.5cm C.) 0.9 cm, 1.
Gwar [14]

Answer:

The answer A

Step-by-step explanation:

B: You need a side that is longer than 2 equal sides. B is incorrect.

A: Try

9^2 + 12^2 = 15^2 if that works, A will work.

81 + 144 = 225

This works. I used these numbers because they were easier to see.

0.9^2 + 1.2^2 = 1.5^2

0.81 + 1.44 = 2.25

2.25 = 2.25

That is the answer A

But we have to check the  other two.

C:

0.9^2 = 0.81

1.2^2 = 1.44

1.8^2 = 3.24   This won't work. 3.24 is just too big.

D:

0.9^2 = 0.81

0.6^2 = 0.36

1.5^2 = 2.25   It's too far away.

5 0
3 years ago
What is the midpoint of the line segment with endpoints(-2,-2) and (4,6)
Ann [662]

Answer:

The midpoint of points (-2,-2)\ and\ (4,6) is (1,2).

Step-by-step explanation:

Given points are (-2,-2)\ and\ (4,6). We need to find the midpoint of the line segment.

The formula of finding midpoints between the point (x_1,y_1)\ and\ (x_2,y_2) is

(\frac{x_1+x_2}{2}),(\frac{y_1+y_2}{2})\ Equation(1)

W have points (x_1,y_1)=(-2,-2). And (x_2,y_2)=(4,6)

Let us plug the value in Equation (1)

(\frac{-2+4}{2} ),(\frac{-2+6}{2})

(\frac{2}{2}),(\frac{4}{2})\\ \\(1,2)

So, the midpoint of points (-2,-2)\ and\ (4,6) is (1,2).

3 0
3 years ago
How do I figure this one out?
Inessa [10]
9k2-12k+4

(k2-6k)+(-6k+4) factor out the 3k from 9k2 0 6k: 3k(k-2) factor out -2 from -6k +4n: -2 (3k-2) factor out common term (3k-2) = (3k-2 ) (3k-2) that equals (3k-2)2
5 0
3 years ago
Write an algebraic rule to describe the translation c (5,-4) c'(-2,1)
Sauron [17]
We can solve this by using the formula:
(x, y) (x + a, y + b) = (5,-4) (-2,1)

So, plugging in the values and solving for a and b,
5 + a = -2
a = -8

-4 + b = 1
b = 5

Therefore, the translation is
(x,y) (x - 8, y +5)
5 0
3 years ago
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