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3 years ago

7

To qualify for the championship, a runner must complete the race in less than 40 minutes. Use t to represent the time (in minute

s) of a runner who qualifies for the championship.

1 answer:

goblinko [34]3 years ago

4 0

Answer:

t<40 minutes

Step-by-step explanation:

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Find the following combinations

dsp73

Answer:

3

Step-by-step explanation:

5 0

3 years ago

Rosa works due north of home. Her husband Ray works due east. They leave for work at the same time. By the time Rosa is 5 miles

vlabodo [156]

Ray is 12 miles from home.

Let x be Ray's distance from home. His distance is one leg of a right triangle; 5, Rosa's distance from home, is the other. The hypotenuse, the distance between them, is 1 more than Ray's distance from home, or x+1. Using the Pythagorean theorem,

5²+x²=(x+1)²
25+x²=(x+1)(x+1)

Multiplying the binomials, we have
25+x²=x*x+1*x+1*x+1*1
25+x²=x²+1x+1x+1
25+x²=x²+2x+1

Subtracting x² from both sides,
25 = 2x+1

Subtracting 1 from both sides,
24 = 2x

Divide both sides by 2, and we have
12 = x

Ray is 12 miles from home.

5 0

3 years ago

Convert 52km to miles

zimovet [89]

32.311 miles........

4 0

2 years ago

136 in. to yards, feet, and inches<br><br> __yds<br> __ft<br> __in

denpristay [2]

Answer:

136 inches = 3.77778 yards

136 inches = 11 1

3 feet

Step-by-step explanation:

i belive this is the answer i am so sorry if incorrect ! good luck

3 0

2 years ago

Y is inversely proportional to x.

Inessa [10]

Answer:

1. $xy = 63$

2. $y = 3$

Step-by-step explanation:

Given

Variation: inverse Proportion

y = 7, x = 9

Required

- Write an equation connecting y and x

- Find y when x = 21

Given that thee variation is inversely proportional;

This implies that

$y\ \alpha\ \frac{1}{x}$

Convert variation to equation

$y\ = \frac{k}{x}$ ----------- Equation 1

Where k is the constant of variation

Substitute 7 for y and 9 for x in equation 1

$7 = \frac{k}{9}$

Multiply both sides by 9

$9 * 7 = 9 * \frac{k}{9}$

$63 = k$

Substitute 63 for k in equation 1

$y = \frac{63}{x}$

Multiply both sides by x

$x * y = \frac{63}{x} * x$

$xy = 63$

Hence, the equation connecting x and y is $xy = 63$

Solving for when x = 21

Substitute 21 for x in the above equation

$21 * y = 63$

Divide both sides by 21

$\frac{21 * y}{21} = \frac{63}{21}$

$y = 3$

4 0

3 years ago