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lys-0071 [83]
3 years ago
12

Joshua wants to complete the first mile of a 5-mile run in 10 minutes or less running at a steady pace. The inequality 5 - p 6 ≤

4 can be used to find p, the pace, in miles per hour, he can run to reach his goal. Solve the inequality.
Mathematics
1 answer:
elixir [45]3 years ago
3 0
The given inequality is
5 - p⁶ <span> ≤ 4 
Solving the inequality to find for the possible values of p
-p</span>⁶ <span> ≤ 4 - 5
</span>-p⁶  ≤ -9
p⁶  ≥ 9
p ≥ 1.44
The speed of Joshua is at least 1.44 miles per hour
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A bag contains 8 black beads and 4 white beads. If 2 beads are drawn at random, what is the probability that both beads are blac
maria [59]

Answer:

14/33

Step-by-step explanation:

The total amount of beads is 8+4 = 12.  8 of these are black beads, so that is what we want, so 8/12 or 2/3.  For the second one, one black bead is already taken so 8-1 = 7 are left and for the total 12 - 1 = 11 are left, so 7/11.  Multiply this by 2/3 and we get 14/33.

3 0
3 years ago
Find the value of x. Then find the measure of the red arc.
Elza [17]

Answer:

x = 70 degrees, red arc= 110 degrees

Step-by-step explanation:

x and 2x-30 added together is 180 degrees.

We can make an equation to find x,

x + (2x - 30) = 180

3x - 30 = 180

Add 30 to both sides to isolate x

3x = 210

By dividing both sides by 3, we get x = 70

Now we know the red arc is 2x - 30. We can plug x in because we know the value now.

2(70) - 30

140 - 30

Red Arc = 110 degrees

8 0
3 years ago
Gretchen can buy 17.4 ounces of Brand A toothpaste for $5.22, or she can buy 26.6 ounces of Brand B toothpaste for $6.65. Which
konstantin123 [22]
Price of Brand A toothpaste for 17.4 ounces = <span>$5.22
</span>Price of Brand A toothpaste for 1 ounce = $5.22/17.4 = 0.3
Price of Brand B toothpaste for 26.6 ounces = $6.65
Price of Brand B toothpaste for 1 ounces = $6.65/26.6 = 0.25
So, if we see the price for per ounce of brand A and B, price of Brand B per ounce is less than brand A.
and if we find the difference between the prices of both = 0.3 - 0.25 = 0.05

Thus, the correct answer is "D", <span>Brand B is the better deal, because it costs $0.05 less per ounce than Brand A".</span>
3 0
3 years ago
Read 2 more answers
Jessica has two strings. The first string measures 80 centimeters and the second string measures 64 centimeters.She wants to cut
finlep [7]

Answer: 16 inches.

Step-by-step explanation:

given data:

length of string A = 80 centimeters.

length of string B = 64 centimeters.

step 1

we solve for the Highest common denominator between them.

highest common denominator = 16.

what this represents is that no string would be cut more than 16inches so they can all have equal lengths at the end of cutting.

4 0
3 years ago
Which of the following is the equation of a circle whose center is at the origin and whose radius is 4?
Gennadij [26K]
\bf \textit{equation of a circle}\\\\ &#10;(x- h)^2+(y- k)^2= r^2&#10;\qquad &#10;center~~(\stackrel{0}{ h},\stackrel{0}{ k})\qquad \qquad &#10;radius=\stackrel{4}{ r}&#10;\\\\\\&#10;(x-0)^2+(y-0)^2=4^2\implies x^2+y^2=16
4 0
3 years ago
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