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Svetradugi [14.3K]
3 years ago
10

an antelope can run at a speed of 61 miles per hour. What is this speed in yards per second? Round to the nearest hundredth.

Mathematics
1 answer:
arlik [135]3 years ago
5 0
20.3 yards per second.
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What is the solution to this system of equations? 4x + 5y = 7
Nutka1998 [239]

Answer:

(-2, 3)

Step-by-step explanation:

4x + 5y = 7

3x - 2y = -12

Let's solve this by elimination. We want to eliminate one variable at a time. This means we need to multiply the equations to create a common multiple to cancel out a variable.

Let's work with y.

5y and -2y: For these values to cancel out, we need to multiply each term to create a common multiple.

2(4x + 5y = 7)

5(3x - 2y = -12)

Multiply.

8x + 10y = 14

15x - 10y = -60

Eliminate.

23x = -46

Divide both sides by 23.

x = -2

Now that we know x, let's plug it back into one of equations to find y.

4x + 5y = 7

4(-2) + 5y = 7

Multiply.

-8 + 5y = 7

Add.

5y = 15

Divide.

y = 3

Now we know x and y; let's plug both back into the equation we have not checked yet.

3x - 2y = -12

3(-2) - 2(3) = -12

Multiply.

-6 - 6 = -12

Subtract.

-12 = -12

Your solution is correct.

(-2, 3)

Hope this helps!

8 0
2 years ago
A rectangular courtyard has a length of 24 m and a width of 15 m. Find the perimeter of the rectangle defined by this courtyard.
pav-90 [236]

Answer: 78

Step-by-step explanation:

2(l · w)

2(24·15)

78

5 0
2 years ago
One-half of the sum of a number and 12 is less than 27.  What is the number?  Write as an inequality.  ​
kirill115 [55]

Answer:

Call the number we need to find a.

Inequality: (12 + a) ÷ 2 < 27

<=> 12 + a < 54

<=> a < 54 - 12

<=> a < 42

3 0
2 years ago
An inverse variation includes the point (4,17). Which point would also belong in this inverse variation?
NARA [144]

Answer:

(2, 34 )

Step-by-step explanation:

Since the points vary inversely then half the x, means double the y, thus

(2, 34) or (1, 68 ) would also belong in this inverse variation

3 0
3 years ago
How will the solution of the system y &gt; 2x + and y &lt; 2x + change if the inequality sign on both inequalities is reversed t
Gala2k [10]

Answer:

The System of inequality is ,

1. y > 2 x + p

2. y < 2 x + p

Suppose we assign some values to p and q and draw its graph

And, then the inequality sign on both inequalities is reversed

3. y < 2 x + p

4. y > 2 x + p

And , then draw it's graph

it has been found that, the solution set of both the inequality remains same.That is there is no point or set of points , which satisfy both the system of inequality.

The system has no solution.

5 0
3 years ago
Read 2 more answers
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