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Novay_Z [31]
3 years ago
12

Joseph cycled a distance of 4 miles in 45 minutes. What is the unit rate at which Joseph was cycling?

Mathematics
1 answer:
____ [38]3 years ago
8 0
Because
rate = distance/time
r = \frac{4 miles}{45 minutes}
so it would be
r = \frac{4}{45} miles per minute

Or if it was miles per hour:
\frac{4}{45} =  \frac{x}{60}
Cross multiplication gives us
45x = 240
\frac{16}{3} mph

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Is everyone answering so we can ask more questions lol
kolbaska11 [484]

Answer: yes  

Step-by-step explanation:

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3 years ago
(x - 1)2 + (y + 3)2 = 73<br> What is the radius ?
Yuliya22 [10]

Answer:

radius = \sqrt{73}

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

(x - 1)² + (y + 3)² = 73 ← is in standard form

with r² = 73 ( take the square root of both sides )

r = \sqrt{73}

4 0
3 years ago
Read 2 more answers
Write the equation x^2 - 10x + 17 = 0 in the form (x+p)^2 = q (50 points!)
maxonik [38]

Answer: (x-5)²=8

Step-by-step explanation:

x²-10x+17=0

x²-2(x)(5)+5²-5²+17=0

(x²-2(x)(5)+5²)-25+17=0

(x-5)²-8=0

(x-5)²-8+8=0+8

(x-5)²=8

7 0
1 year ago
Read 2 more answers
0.8% of 150 is what numbers and how do you write the equation with a variable in it.
Tanzania [10]

Answer:

1.2

Step-by-step explanation:

1. First, we have to write an equation with a variable! Given 0.8%, we know that it's equal to (0.8/100), and "of" means to multiply. Therefore, the equation will looks like this: \frac{0.8}{100} * 150 = x

2. Now, let's solve for x!

  • \frac{0.8}{100} * 150 = (0.008)(150)
  • (0.008)(150) = \frac{6}{5}
  • \frac{6}{5} = 1\frac{1}{5}
  • 1\frac{1}{5} = 1.2
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Therefore, 0.8% of 150 is 1.2!

6 0
3 years ago
x^2+2x+7=21 the approximate value of the greatest solutoon to the equation, rounded to the nearest hundreth​
daser333 [38]

9514 1404 393

Answer:

  x ≈ 2.87

Step-by-step explanation:

We  can subtract 6 to put the equation into a form easily solved.

  x^2 +2x +1 = 15

  (x +1)^2 = 15

  x +1 = √15 . . . . . for the greatest solution, we only need the positive root

  x = √15 -1 ≈ 2.87

4 0
3 years ago
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