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kicyunya [14]
3 years ago
10

Solve this inequality for x 81 -1 1/5r <55

Mathematics
2 answers:
allsm [11]3 years ago
7 0

81-1\dfrac{1}{5}r < 55\qquad|\text{subtract 81 from both sides}\\\\-\dfrac{1\cdot5+1}{5}r < -26\qquad|\text{change the signs}\\\\\dfrac{6}{5}r > 26\qquad|\text{multiply both sides by 5}\\\\6r > 130\qquad|\text{divide both sides by 6}\\\\r > \dfrac{130}{6}\\\\r > \dfrac{65}{3}\to r > 21\dfrac{2}{3}

Jobisdone [24]3 years ago
6 0

The answer would be d thats how it was on my test


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Antonio finished the race in 28 minutes and 11.00 seconds. Julio finished 0.08 second faster than Antonio. Pete finished 0.1 sec
max2010maxim [7]

Answer:

It took Peter 28 minutes and 10.82 seconds to finish the race.

Step-by-step explanation:

We have that:

t_{A}: Antonio = 28 min + 11.00 s (1)

t_{J}: Julio = A - 0.08 s  (2)

t_{P}: Pete = J - 0.1 s   (3)

Then, the time at which Pete finished the race is:

t_{P} = t_{J} - 0.1   (4)

By entering equations (1), (2), (3) into (4) we have:

t_{P} = (t_{A} - 0.08) - 0.1            

t_{P} = 28 min + 11.00 s - 0.18 s = 28 min + 10.82 s

Therefore, it took Peter 28 minutes and 10.82 seconds to finish the race.    

I hope it helps you!

5 0
3 years ago
If shape 1 is similar to shape Il and shape II is similar to shape III, what does that mean for shape I and shape III?
blagie [28]

Answer:

Step-by-step explanation:

They are also similar.

Both have 4 right angles. Both have 2 sets of parallel lines. Both have 4 equal sides.  

But I think you are supposed to answer if figure 1 is similar to figure 2 and figure two is similar to figure 3 then by the transitive property, figure 1 is similar to figure 3.

7 0
3 years ago
Need help ASAP!! Write an informal proof to show triangles ABC and DEF are similar.
yaroslaw [1]

Answer:

Δ ABC and Δ DEF are similar because their corresponding sides are proportional

Step-by-step explanation:

Two triangles are similar if their corresponding sides are proportional which means the corresponding sides have equal ratios

In the two triangles ABC and DEF

∵ AB = 4 units

∵ DE = 2 units

∴ \frac{AB}{DE}=\frac{4}{2}=2

∵ BC = 6 units

∵ EF = 3 units

∴ \frac{BC}{EF}=\frac{6}{3}=2

∵ CA = 2 units

∵ FD = 1 units

∴ \frac{CA}{FD}=\frac{2}{1}=2

∴ \frac{AB}{DE}=\frac{BC}{EF}=\frac{CA}{FD}=2

∵ All the ratios of the corresponding sides are equal

∴ The corresponding sides of the two triangles are proportional

∴ Δ ABC is similar to Δ DEF

6 0
3 years ago
A group of students investigated the effect of temperature of vinegar on its reaction time with baking soda. To minimize the ran
worty [1.4K]

Answer:

ehifhidbviasbeoifoaweilbfjwBFUWGUF

Step-by-step explanation:

next time you answer someone's question with a bunch of random letters just to get the points don't. It rude especially sense you have questions you want answered. Now I could be nice and help you because I know how to solve this and you obviously don't, but I'm giving you the same curtesy as you did me and writing a bunch of gibberish.

8 0
3 years ago
What types of solutions does 6x^2 - 20x + 1 have?​
elena55 [62]

Answer:

2 real solutions

Step-by-step explanation:

We can use the determinant, which says that for a quadratic of the form ax² + bx + c, we can determine what kind of solutions it has by looking at the determinant of the form:

b² - 4ac

If b² - 4ac > 0, then there are 2 real solutions. If b² - 4ac = 0, then there is 1 real solution. If b² - 4ac < 0, then there are 2 imaginary solutions.

Here, a = 6, b = -20, and c = 1. So, plug these into the determinant formula:

b² - 4ac

(-20)² - 4 * 6 * 1 = 400 - 24 = 376

Since 376 is clearly greater than 0, we know this quadratic has 2 real solutions.

<em>~ an aesthetics lover</em>

3 0
3 years ago
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