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gayaneshka [121]
3 years ago
12

As an estimation We are told 5 miles is 8 km convert 27. 5 miles to km​

Mathematics
1 answer:
OverLord2011 [107]3 years ago
5 0

Answer:

approx. 44 km

Step-by-step explanation:

We are given that :

5 miles ------> 8 km

we divide both sides by 5 to get the unit rate:

1 miles ------>  8/5 km

Therefore:

27.5 miles -----> 27.5 miles x (8/5) = 44 km

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Answer: P= QRS

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Step-by-step explanation:

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4/5 of Sarah's pens are equal to 1/5 of matts pens
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Ok so whats the question
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3 years ago
Please help due Monday
Katarina [22]

Answer:

1. 43, 45, and 47

2. 50, 52, and 54

3. 47 years old

4. 106 degrees

5. 66 degrees

Step-by-step explanation:

1. Let's assume that the first number in the three consecutive odd numbers is x.

We can write an equation to express this now. x + (x+2) = (x+4) + 41.

Combining like terms, we get 2x+2 = x+45. Subtracting by (x+2) on each side, we get x = 43. Since the smallest number is 43, we can find the two larger numbers as well, since they are 2 more than one another. Therefore, the numbers are 43, 45, and 47.

2. Let's assume that the first number in the three consecutive even integers is x.

We can write an equation to express this now. x + (x+2) = (x+4)+48

Combining like terms, we get 2x+2 = x+52. Subtracting by (x+2) on each side, we get x = 50. Since the smallest number is 50, we can find the two larger numbers as well, since they are 2 more than one another. Therefore, the numbers are 50, 52, and 54

3. We can write his current age in years as x. Next year, his age will be x+1. We know that the sum of his current age and his age next year is 73, so we can write an equation to express this.

x + (x+1) = 73. Therefore, 2x + 1 = 73, or 2x = 72. This means that x = 36, or his current age is 36. In 11 years, his age will be 36 + 11 = 47 years old.

4. (21x+1) + (14x+4) = 180. Combining like terms, we get 35x + 5 = 180 Subtracting by 5 on both sides, we get 35x = 175 This means that x = 5. Now, we can find the degree measures of both angles and find the larger one. The degree measure of the angle on the left is 21(5) + 1 = 106 degrees, and the degree measure of the angle on the right is 14(5) + 4 = 74 degrees. Therefore, the degree measure of the larger angle is 106 degrees.

5. We know that the sum of the angles in a triangle is 180 degrees. Therefore, we can sum the angles up and equate them to 180 degrees.

(x-24) + (2x-108) + (1/3x+12) = 10/3x - 120 = 180. Adding 120 to both sides, we get 10/3x = 300. Multiplying both sides by 3/10, we get x = 900/10 = 90. Therefore, plugging in x = 90, we get 66 degrees.

5 0
3 years ago
Here a subtraction problem that has been solved incorrectly what is the right way 74-25=59​
monitta

Step-by-step explanation:

74-25 is not equal to 59 the correct answer is 74-25=49

3 0
2 years ago
B. Determine the values of a and b so that f is continuous
miskamm [114]

Answer:

Step-by-step explanation:

For a function to be continuous

The right hand limit f'+(x) must be equal to the left hand limit f'-(x)

The right hand limit exist at where x>3

The resulting function is. x²+a

If x = 3

f'+(3) = 3²+a

f'+(3) = 9+a

For the left hand limit, this exist where

bx+a

f'-(x) =bx+a

f'-(3) = 3b+a

Since f'+(3) = f'-(3)

9+a = 3b+a

9 =3b

b = 9/3

b = 3

At the end point x = -3

For the left hand limit

f-(x)= √-b-x

f-(-3) = √-b-(-3)

f(-3) = √-b+3

For the right hand, the function is bx+a

f'+(x) = bx+a

f+(-3) = -3b + a

Equate both limits

√-b+3 = -3b+a

√-3+3 = -3(3)+a

0 = -9+a

a= 9

Hence a = 9 and b = 3

7 0
3 years ago
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