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notsponge [240]
3 years ago
5

Mr. Young has a piece of rope. He uses 1/4 of it to tie some boxes together. He then uses 5/9 of the remainder to make a jump ro

pe for his daughter. After this, 120 centimeters are left. What is the length of rope Mr. Young used to tie the boxes together?
Mathematics
1 answer:
Kazeer [188]3 years ago
3 0
Divide 120 by 4 to get 1/9 of the rope: 30. Then multiply it by 9 to get the part after 1/4 was given away: 270. Now divide it by 3 to get 90 and lastly, multiply it by 4 to get a final answer of 360 centimeters. Hope this helps!
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HElP Me PLEASE
Georgia [21]

Answer:

As x → -∞, f(x) → 0.5; as x → ∞, f(x) → 0.5

Step-by-step explanation:

Given function:

f(x)=\dfrac{4x-7}{8x+8}

<u>Asymptote</u>: a line that the curve gets infinitely close to, but never touches.

As the degrees of the numerator and denominator of the given function are equal, there is a horizontal asymptote at  y=\dfrac{a}{b}  (where a is the leading coefficient of the numerator, and b is the leading coefficient of the denominator).  This is the end behavior.

\textsf{Horizontal asymptote}:y=\dfrac{4}{8}=\dfrac{1}{2}

This is because as x \rightarrow \infty the -7 of the numerator and the +8 of the denominator become negligible.  Therefore, we are left with:

f(x) \rightarrow \dfrac{4x}{8x}

Therefore:

\textsf{As }\:x \rightarrow - \infty, f(x) \rightarrow 0.5

\textsf{As }\:x \rightarrow \infty, f(x) \rightarrow 0.5

7 0
2 years ago
Solve the system of linear equations below.<br><br> y = -2x + 19<br> y = x + 7
ASHA 777 [7]
Hey there!

y = -2x + 19
y = x + 7

We gonna solve this system of equation by using the substitution method.

We wanna solve y = -2x + 19 for y

Let start by substitute -2x + 19 for y in y = x + 7

y = x + 7
-2x + 19 = x + 7

Subtract x from both sides

-2x + 19 - x = x + 7 - x

-3x + 19 = 7

Now subtract 19 on both sides

-3x + 19 - 19 = 7 - 19

-3x = -12

Then divide both sides by -3

-3x/-3 = -12/-3

x = 4

We have the value of x. Now we gonna use that same value to find the value for y.

We gonna do that by substitute 4 for x in y = -2x + 19

y = -2x + 19

y = -2(4) + 19

y = -8 + 19

y = 11

Thus,

The answer is: x = 4 and y = 11

Let me know if you have questions about the answer. As always, it is my pleasure to help students like you!
6 0
3 years ago
Plz help ill give u brainlist
adoni [48]
The problem tells you that a circle with radius 21 inches is painted in two colors. The two colors cover equal areas, so each color is half the area of the circle. You need to find half of the area of the circle. To do that, use the formula for the area of a circle, and then divide by 2.

A = \pi r^2

A = 3.14 \times 21~ inches \times 21~inches

A = 1384.74~square ~inches

Half the circle has area 1384.74 square inches / 2 = 692.37 square inches.

Answer: Each color covers 692.37 square inches.
4 0
3 years ago
Given the function, f(x)= square root 3x+3+3, choose the correct transformation(s).
ki77a [65]

Answer:

3+3+3x

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Step-by-step explanation:

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3 years ago
You have a cell phone that is 5 inches in height, 0.5 inches in width, and 2.5 inches in length, what is the surface area in sq
fenix001 [56]
Answer: 32.5sq in I believe

I multiplied all the sides (ex 0.5x2.5x2) and did that with all the other sides
6 0
3 years ago
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