All categories

3 years ago

-7d>105 what is the solution?

Mathematics

2 answers:

Bumek [7]3 years ago

4 0

Answer: d < -15

Explanation: When you're asked to solve an inequality like -7d < 105, your goal should be the same as it was when solving equations, to get d by itself on one side.

In this problem since d is being multiplied by -7 on the left side of the inequality, to get d by itself, we divide both sides by -7. But here is the rule you have to watch out for when solving inequalities.

When you divide both sides of an inequality by a negative number, you must switch the direction of the inequality sign.

So this greater than in our original problem becomes less than in our second step. On the left side, the -7's cancel and we are left with d and on the right side, 105 divided is -15. So we have d < -15.

Notice that I switched the direction of the inequality sign above.

Jet001 [13]3 years ago

3 0

Answer:

d <-15

In interval notation

(-∞,-15)

Step-by-step explanation:

-7d>105

Divide each side by -7. remembering to flip the inequality

-7d/-7 < 105/-7

d <-15

You might be interested in

Choose the correct simplification of(5x+7y)(4x-6y)

zmey [24]

20x2 - 30y + 28xy - 42y2

5 0

3 years ago

Suppose that 70% of the orders on a particular website are shipped to the person who is making the order and the remaining 30% a

Lera25 [3.4K]

Answer:

0.18 ; 0.1875 ; No

Step-by-step explanation:

Let:

Person making the order = P

Other person = O

Gift wrapping = w

P(p) = 0.7 ; P(O) = 0.3 ; p(w|O) = 0.60 ; P(w|P) = 0.10

What is the probability that a randomly selected order will be a gift wrapped and sent to a person other than the person making the order?

Using the relation :

P(W|O) = P(WnO) / P(O)

P(WnO) = P(W|O) * P(O)

P(WnO) = 0.60 * 0.3 = 0.18

b. What is the probability that a randomly selected order will be gift wrapped?

P(W) = P(W|O) * P(O) + P(W|P) * P(P)

P(W) = (0.60 * 0.3) + (0.1 * 0.7)

P(W) = 0.18 + 0.07

P(W) = 0.1875

c. Is gift wrapping independent of the destination of the gifts? Justify your response statistically

No.

For independent events the occurrence of A does not impact the occurrence if the other.

4 0

2 years ago

Find the solution to the following system using substitution or elimination:

raketka [301]

Answer:

B) (3,1)

Step-by-step explanation:

y = -2x + 7

y = 3x - 8

3x - 8 = -2x + 7

combine like terms:

5x = 15

divide both sides of the equation by 5:

x = 3

y = 3(3) - 8 = 1

4 0

3 years ago

What are the steps for this inequality: 6z < 48

cestrela7 [59]

Answer:

z<8

Step-by-step explanation:

First: write down the equation : 6z<48

Second: divide both sides with 6 (since its the only number that can be divided for both sides)

Third: then you'll get z<8

4 0

3 years ago

A certain university recently calculated the number of days that its students took to complete their master's degrees. It took 1

mixer [17]

Answer:

c) 700

Step-by-step explanation:

Add 800 and 600, and then divide by the number of number, or in this case, two. This should give you 700.

8 0

2 years ago