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myrzilka [38]
2 years ago
15

Two hot air balloons are traveling along the same path away from a town, beginning from different locations at the same time. He

nry's balloon begins 25 miles from town and is 37 miles from the town after 2 hours. The distance of Tasha's balloon from the town is represented by the function y = 7x + 15.
which balloon was farther from the town at the beginning, and which traveled more quickly?
Mathematics
1 answer:
pickupchik [31]2 years ago
5 0

Step-by-step explanation:

The answer was that he was going from the begining but hers was more quickly

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the width of a rectangle is 12 cm less than the length the perimeter is 156 cm. Find the with and length
mamaluj [8]

We know that the perimeter of a rectangle is twice the length, plus twice the width.  

P = 2L + 2W  

We also know that the perimeter is 156.  

P = 156  

Finally, we know that the width is 12 less than the length.  

W = L - 12.  

The next thing that we do is substitute the information that we have into the original equation:  

P = 2L + 2W  

156 = 2L + 2(L - 12)  

From this point we start to solve  

156 = 2L + 2L - 24 <---we multiplied the '2' through the parenthesis  

156 + 24 = 2L + 2L - 24 + 24  

180 = 2L + 2L <--- getting like terms on same sides  

180 = 4L <---combining like terms  

180/4 = 4L/4 <--- getting like terms on same sides  

45 = L <---now we have a value for L  

Now we take the known value for L and substitute it in to our equation for W  

W = L - 12  

W = 45 - 12  

W = 33  

So now we have Length = 45 and Width = 33.

6 0
3 years ago
Read 2 more answers
35% is 7 out of what number?
o-na [289]

Answer:

The number is <u>20</u>.

Step-by-step explanation:

In this question, it is said that 35% of a number is equal to 7, then what is that number?

So, let the number be <em>x</em>.

Now, according to the question :

\begin{gathered} \begin{array}{l} \quad{\dashrightarrow{\sf{35 \% \: of \: x = 7}}}\\\\\quad{\dashrightarrow{\sf{\dfrac{35}{100} \: of \: x = 7}}}\\\\\quad{\dashrightarrow{\sf{\dfrac{35}{100}  \times x = 7}}}\\\\\quad{\dashrightarrow{\sf{\dfrac{35 \times x}{100} = 7}}}\\\\\quad{\dashrightarrow{\sf{\dfrac{35x}{100} = 7}}}\\\\\quad{\dashrightarrow{\sf{x = 7 \times \dfrac{100}{35}}}}\\\\\quad{\dashrightarrow{\sf{x =\dfrac{700}{35}}}}\\\\ \quad{\dashrightarrow{\sf{x = \cancel{\dfrac{700}{35}}}}}\\\\ \quad{\dashrightarrow{\sf{x =20}}}\\\\ \quad{\star{\underline{\boxed{\tt{\red{x =20}}}}}} \end{array}\end{gathered}

Hence, the number is 20.

\rule{300}{2.5}

3 0
2 years ago
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The point P = (-3, y) lies on the unit circle shown below. What is the value of y
alukav5142 [94]

The equation of the circle is given as (x-h)² + (y-k)² = r². Then the value of y will be ± √5/3.

<h3>What is an equation of a circle?</h3>

A circle can be characterized by its center's location and its radius's length.

Let the center of the considered circle be at (h, k) coordinate.

Let the radius of the circle be 'r' units.

Then, the equation of that circle would be:

(x-h)² + (y-k)² = r²

The equation of the circle has the center at the origin and the radius is one unit. Then we have

x² + y² = 1

The point P = (-2/3, y) lies on the unit circle. Then the value of y will be

(-2/3)² + y² = 1

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y = ± √5 / 9

Learn more about the equation of a circle here:

brainly.com/question/10165274

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5 0
2 years ago
Which number line model represents the expression-1/2+5/4
LUCKY_DIMON [66]

Answer:

B

Step-by-step explanation:

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3 years ago
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Justin did push-ups every weekday this week. He did 8 push-ups on Monday, 14 push-ups on Tuesday, 18 push-ups on Wednesday, 6 pu
olga2289 [7]

Answer:

10.8

Step-by-step explanation:

to so the mean you add up all of the numbers and divide by the amount you have. so add up all the numbers to get 54, the divide 54 by 5 because there are numbers.

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3 years ago
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