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bonufazy [111]
3 years ago
5

Solve the inequality. Enter the answer as an inequality that shows the value of the variable; for example f > 7, or 6 < w.

Where necessary, use <= to write and use >= to write . 25 + x < -40
Mathematics
1 answer:
Vedmedyk [2.9K]3 years ago
4 0
Subtract 25.
  25 - 25 + x < -40 - 25
Simplify
  x < -65

_____
An inequality is solved exactly the same way an equation is solved, with one exception.‡ Multiplying or dividing by a negative number reverses the sense of the inequality:
  2 > 1
  -2 < -1 . . . . multiplied by -1


___
‡ The exception can be generalized to the use of any function that reverses the ordering of its arguments. In Algebra, about the only function we use that has negative slope is the cosine function (and its inverse). You rarely see these used in inequalities.
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The nearest hundredth, what is the measure of (RT)?<br> a.)2.24<br> b.)6.11<br> c.)9.75<br> d.)13.89
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3 years ago
Write yes if the given set of lengths are side lengths of a right triangle. Otherwise write No
Amiraneli [1.4K]

Answer:

a) Yes

b) No

c) Yes

d) No

e) No

Step-by-step explanation:

Right triangle:

The square of the larger side is equals to the sum of the squares of the smaller sides.

a. 6, 8, 10

6^2 + 8^2 = 36 + 64 = 100 = 10^2

The answer is yes.

b. 8, 15, 16

8^2 + 15^2 = 64 + 225 = 289 \neq 16^2 = 256

So no.

c. 10, 24, 26

10^2 + 24^2 = 100 + 576 = 676 = 26^2

So yes

d. 20, 21, 28

20^2 + 21^2 = 400 + 441 = 841 \neq 28^2 = 784

So no.

e. 9, 35, 41​

9^2 + 35^2 = 81 + 1225 = 1306 \neq 41^2 = 1681

7 0
3 years ago
Mrs. Grundy has two children. Given that Mrs. Grundy has at least one child born on a Monday, what is the probability that both
leva [86]

Answer:

1/7

Step-by-step explanation:

If one child was born on a Monday, then we don't have to consider that when solving the question, as it asks if both children were born on a Monday.

Thus, we only need to find the probability that the second child is born on a Monday. Since there are 7 days in a week and equally likely that the child is born on any day, then the probability of the child being born on a Monday would be 1/7.

5 0
3 years ago
The book costs $49.95 with 3% sales tax. What is the total cost?
VladimirAG [237]

Answer:

74.8

Step-by-step explanation:

hope im right!

8 0
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