All categories

3 years ago

What is the answer to this problem?

Mathematics

1 answer:

salantis [7]3 years ago

7 0

We must first Isolate the Variable by removing factors that don't contain the variable:

2(x + 7) < 12
2x + 14 < 12
2x + 14 - 14 < 12 - 14
2x < -2
2x / 2 < -2/2
x < -1

Hope this helps!

You might be interested in

A number is picked randomly in the range [0,7]. What is the probability that the number picked is between 3 and 5? What is the p

emmasim [6.3K]

Answer:

(1) 0.125

(2) 0.125

Step-by-step explanation:

The total number of possible outcomes is:

N = 8

(1)

Compute the probability that the number picked is between 3 and 5 as follows:

Number of Favorable outcomes = 1

The probability is:

P (Number picked is between 3 and 5) = 1/8 = 0.125

Thus, the probability that the number picked is between 3 and 5 is 0.125.

(2)

The number usually picked appears to be in in the range [3,5], i.e. the numbers could be, {3, 4 or 5}.

Number of Favorable outcomes = n (Number < 4 and within [3, 5]) = 1

P (less than 4 ∩ within [3, 5]) = 1/8 = 0.125

Thus, the probability that the number picked is less than 4 knowing that the number usually picked appears to be in in the range [3,5] is 0.125.

4 0

3 years ago

Evaluate (1.18×103)⋅(9.1×10−6)

IRINA_888 [86]

(121.54) x (91-6) =121.54 x 85 =10,330.9
or if these are exponents
(1.18 x 1000) x (9.1 x 0.000001)
(1,180) x (0.0000091)
0.010738

4 0

3 years ago

A spinner has 10 equal-sized sections. Two of the sections are red.

hichkok12 [17]

Answer:

a. Probability of landing on red = $\frac{1}{5}$

b. <em>See Explanation</em>

Step-by-step explanation:

Given

A Spinner

Number of section = 10 (equal sized)

Number of red section = 2

Required

- Probability of landing on red

- Describe the probability in words

Calculating the probability of landing on red

The formula used in calculating probability is as follows

Probability = Number of required outcomes / Number of possible outcomes

In this case, the number of required outcomes is the number of red section.

Hence, number of required outcomes = 2

And the number of possible outcomes is the total section of the spinner

Hence, Number of possible outcomes = 10

By Substitution

Probability of landing on red = $\frac{2}{10}$

Probability of landing on red = $\frac{1}{5}$

Describe the probability in words

From (a) above, we have that the probability of the spinner landing on color red is $\frac{1}{5}$

This means that, for every five times, you spin the spinner, it's likely that one of the outcomes will be red.

8 0

4 years ago

Find the equation of the line that passes through (-5,4) and (1,1)

pav-90 [236]

The equation is y = -3/6x + 3/2

5 0

3 years ago

What’s the correct answer

Gekata [30.6K]

The correct answer is ) D 20

Hope This Helps

-Dante

7 0

4 years ago