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oee [108]
3 years ago
8

A marathon race participant walks at a rate of 2.5 miles per hour and runs at a rate of 5 miles per hour. The combined distance

that the marathon race participant walks and runs is 12.5 miles. Write a linear equation in standard form that models this situation.
Mathematics
1 answer:
valentinak56 [21]3 years ago
3 0

Answer:

2.5x + 5y = 12.5

Step-by-step explanation:

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Katie is going to a carnival and received $50 from her mother to spend. At the carnival, entry costs $12.00 and ride tickets cos
nlexa [21]

Answer: See explanation

Step-by-step explanation:

Your question isn't complete but I believe that you want to know the number of rides that Katie can take.

Based on the information in the question, we can form an equation. Let the number of rides that Katie can take be represented by x. Therefore,

12 + (1.25 × x) = 50

12 + 1.25x = 50

1.25x = 50 - 12

1.25x = 38

x = 38/1.25

x = 30.4

Therefore, Katie can take at most 30 rides.

3 0
3 years ago
If the leg of a 45-45-90 triangle is 19, approximately how long is the hypotenuse?
TiliK225 [7]
<span>The cosine of an angle is the quotient of the side that angle lay on and the hypotenuse.</span>
x-hypotenuse
cos45=19/x
0.707=19/x, x=19/0.707, x=26.9
Hypotenuse is <span>approximately 27.</span>

8 0
3 years ago
A geometry class has a total of 27 students. The number of females is 13 less than the number of males. How many males and how m
boyakko [2]

Answer:

20 males and 7 females

Step-by-step explanation:

Let's say the number of females is x and the number of males is y.

We know that the total number of students is 27, which can also be written as x + y. So, these two expressions are equal: x + y = 27.

There are 13 fewer females than males, so: x = y - 13.

Now, we can use substitution to solve this system of linear equations.

Since x = y - 13, we can plug in y - 13 for x in x + y = 27:

x + y = 27 ⇒ (y - 13) + y = 27 ⇒ 2y - 13 = 27 ⇒ 2y = 40 ⇒ y = 20

Then, we use this value of y to solve for x:

x = y - 13 = 20 - 13 = 7

Thus, there are 20 males and 7 females.

Hope this helps!

6 0
3 years ago
Read 2 more answers
Can someone pls help me out
Leya [2.2K]

No thank you, I’m good

5 0
3 years ago
Write the following number in standard form<br> 3.45 x 10^-4
Kay [80]
35000 is the answer of im not wrong
5 0
3 years ago
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