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Crazy boy [7]
2 years ago
11

On her first stroke, Maria hit a golf ball 140 yards 2 feet 9 inches. On her second stroke, she hit it 170 yards 1 foot 6 inches

. How far did the ball go altogether?
Mathematics
2 answers:
Troyanec [42]2 years ago
6 0
The ball went 311 yards 1 foot 3 inches
MariettaO [177]2 years ago
6 0

Answer:

311 yards, 1 foot and 3 inches.

Step-by-step explanation:

We know that 12 inches equals one foot.

We know that 3 feet equals one yard.

We will start adding up the inches, from these two quantities:

9 inches + 6 inches = 15 inches (but 12 inches equals one foot) = 1 foot and <u>3 inches.</u>

Now we will add up the feet considering we have now one extra foot from our previous sum.

2 feet + 1 foot + 1 foot = 4 foot (but 3 feet equals one yard) = 1 yard and <u>1 foot.</u>

Now we will add up the yards considering we have now one extra yard from our previous sum:

140 yards + 170 yards + 1 yard = <u>311 yards.</u>

So our final answer is: <u>311 yards, 1 foot and 3 inches. </u>

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You have 64 coins, consisting of pennies, nickels, and quarters. The value of
Romashka-Z-Leto [24]

Answer:

There are 20 pennies, 33 nickels and 11 quarters

Step-by-step explanation:

- You have 64 coins, consisting of pennies, nickels, and quarters

- The value of  the coins is $4.60

- Assume that there are p pennies, n nickles, and q quarters

∴ p + n + q = 64 ⇒ (1)

- Lets find the value of each types of coins

∵ 1 penny = 1 cent ⇒ p = p cents

∵ 1 nickel = 5 cents ⇒ n = 5n cents

∵ 1 quarter = 25 cents ⇒ q = 25q cents

∵ 1 dollar = 100 cents ⇒ $4.60 = 4.60 × 100 = 460 cents

∴ p + 5n + 25q = 460 ⇒ (2)

- You also know that you have three times as many nickels as  quarters

∴ n = 3q ⇒ (3) ⇒ the number of nickles by quarters

∵ 5n = 5(3q)

∴ 5n = 15q ⇒ (4) ⇒ the values of nickles by quarters

- Substitute (3) in equation (1) and (4) in equation (2)

∴ p + 3q + q = 64

∴ p + 4q = 64 ⇒ (5)

∴ p + 15q + 25q = 460

∴ p + 40q = 460 ⇒ (6)

- Subtract equation (5) from equation(6) to eliminate p

∴ 36q = 396

- Divide both sides by 36

∴ q = 11

- Substitute the value of q in equation (5)

∴ p + 4(11) = 64

∴ p + 44 = 64

- Subtract 44 from both sides

∴ p = 20

- Substitute the value of q in (3)

∴ n = 3(11) = 33

∴ n = 33

<em>There are 20 pennies, 33 nickels and 11 quarters</em>

6 0
2 years ago
Read 2 more answers
The Florida Everglades welcomes about 2x10 to the third power visitors per day. Based on this, about how many visitors come to t
Harrizon [31]
2,000 is the correct answer I am sure of it
7 0
2 years ago
Janine can use up to 150 one-inch blocks to build a solid, cube-shaped model. What are the dimensions of the possible models tha
klio [65]

Answer:

A total of 12 dimensions to make perfect cubes. 1x1, 2x2, 3x3, 4x4, 5x5, 6x6, 7x7, 8x8, 9x9, 10x10, 11x11, 12x12. Can i get a brainliest?

Step-by-step explanation:

1x1=1

2x2=4

3x3=9

4x4=16

5x5=25

6x6=36

7x7=49

8x8=64

9x9=81

10x10=100

11x11=121

12x12=144

8 0
2 years ago
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Which statements are true about the graph of y &lt; Two-thirdsx + 1? Check all that apply. The slope of the line is 1. The line
Marina CMI [18]

The answer would be:

The x-intercept of the boundary line is (-3/2, 0).

The area below the line is shaded.

The slope of the line should be 2/3. The area below the line shaded because the function using y<.....

Coordinate 2,3 doesn't fulfill the function. 

y < 2/3x + 1

3 < 2/3(2)+1

3< 4/3+1

3< 2.3    ---->false

X intercept is when the y variable is zero. If you put it to the equation

 y = 2/3x + 1

0= 2/3x+1

2/3x= -1

x= -3/2

8 0
2 years ago
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The graph of f(x) = x6 – 2x4 – 5x2 + 6 is shown below.
DochEvi [55]

Answer:

There are two rational roots for f(x)

Step-by-step explanation:

We are given a function

f(x) = x^6-2x^4-5x^2+6

To find the number of rational roots for f(x).

Let us use remainder theorem that when

f(a) =0, (x-a) is a factor of f(x) or x=a is one solution.

Substitute 1 for x

f(1) = 1-2-5+6=0

Hence x=1 is one solution.

Let us try x=-1

f(-1) = 1-2-5+6 =0

So x =-1 is also a solution and x+1 is a factor

We can write f(x) by trial and error as

f(x) = (x-1)(x+1)(x^2-3)

We find that f(x) (x^2-3) factor gives two irrational solutions as

±√3.

Hence number of rational roots are 2.

5 0
2 years ago
Read 2 more answers
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