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Svetach [21]
3 years ago
8

If the new building is 22.5 inches from the gymnasium in the model, what would the actual distance from the gymnasium to the new

building be? INCLUDE UNITS!
1 inch = 3 feet
Mathematics
2 answers:
Rufina [12.5K]3 years ago
8 0
67.5 =)
hope this helps
Klio2033 [76]3 years ago
4 0

Answer:

yes

Step-by-step explanation:

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Pat’s softball team won 5 games for every 3 games they lost.
Vera_Pavlovna [14]

Answer:

20 games were won and 12 games were lost.

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
the ratio of sallys height is 7:8. if the sum of their heights is 90 inches. how tall are sally and jack?
pickupchik [31]

Answer:

Sally is 42 in. tall, and Jack is 48 in. tall.

Step-by-step explanation:

There are some words missing in the problem.

Perhaps the problem was meant to read:

"The ratio of Sally's height to Jack's height is 7:8. If the sum of their heights is 90 inches, how tall are Sally and Jack?"

Solution:

The ratio of the heights is 7:8.

Sally could measure 7 inches and Jack 8 inches, but then when you add the heights, 7 in. + 8 in. = 15 in. which is not 90 inches.

If you multiply both numbers in a ratio by the same number, the new numbers are still in the same ratio.

Multiply 7 and 8 by 2. You get 14 and 16. Maybe Sally is 14 in. tall and Jack is 16 in. tall. Add the heights, 14 in. + 16 in. = 30 in. This is also not 90 in.

We can keep on guessing what number to multiply by 7 and 8 by so their sum is 90, but we can use algebra to write an equation and not have to go through many guesses.

There is a number, x, that when you multiply 7 and 8 by x, the sum of the products is 90. We don't know what x is, but we can write an equation and solve for x.

The numbers in the ratio are 7x and 8x.

7x and 8x are still in the ratio 7:8.

Now we add the numbers 7x and 8x and set the sum equal to 90. Then we solve for x.

7x + 8x = 90

15x = 90

x = 6

We get x = 6. Now we know we need to multiply both 7 and 8 by 6 to get the heights we need.

7 in. * 6 = 42 in.

8 in. * 6 = 48 in.

Check: 42 in. + 48 in. = 90 in.

Answer: Sally is 42 in. tall, and Jack is 48 in. tall.

7 0
2 years ago
Solve the inequality 13 > 3x + 1
Ivenika [448]
4 > x

step by step explanation:

13 > 3x + 1
-1 -1
12 > 3x
/3 /3
4 > x
3 0
3 years ago
Read 2 more answers
A truck can be rented from Company A for $90 a day plus a $0.20 per mile .Company B charges $20 a day plus $0.70 per mile to ren
Alex787 [66]

The number of miles in a day at which the rental costs for Company A and Company B are the same is 140 miles

<h3>Rental cost</h3>

Let

  • Number of miles = x

Company A:

90 + 0.20x

Company B:

20 + 0.70x

  • Equate both rental cost

90 + 0.20x = 20 + 0.70x

90 - 20 = 0.70x - 0.20x

70 = 0.50x

  • Divide both sides by 0.50

x = 70/0.50

x = 140 miles

Therefore, the number of miles in a day at which the rental costs for Company A and Company B are the same is 140 miles

Learn more about rental cost:

brainly.com/question/11959610

#SPJ1

8 0
1 year ago
Lenmana started studying how the number of branches on her tree grows over time. The number of branches increases by a factor of
Ad libitum [116K]

Answer:

N(t) = 48 * 11/6^{\frac{t}{3.5} }

Step-by-step explanation:

The formula for <u>exponential growth</u> is y = ab^x.

To write this equation, we know it has to start with 48 (which is the variable a). We need to add the rate of growth. This is 11/6 (which is variable b). But we also need to account for the "every 3.5 years" part, so divide the x as an exponent by 3.5.

N(t) = 48 * 11/6^(t/3.5)

This equation is easy to test, and it's a good idea to test it after you write it. For example, after 3.5 years we know that it should have 48*11/6 branches. Does our equation work? Yes.

7 0
3 years ago
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