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3 years ago

Use the drop-down menus to choose steps in order to correctly solve 3+4d−14=15−5d−4d for d.

Mathematics

2 answers:

Kisachek [45]3 years ago

8 0

Answer:

d=2

Step-by-step explanation:

SHOWN BELOW

8090 [49]3 years ago

7 0

Answer: d = 2

Step-by-step explanation:

3 + 4d - 14 = 15 -5d - 4d

First, we collect the like terms

4d + 5d + 4d = 15 + 14 -3

13d = 29 - 3

13d = 26

We divide bothside by 13

13d/13 = 26/13

d = 2

Therefore d = 2

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Ashley, Bob, Claire, and Daniel are among 13 students who entered a lottery to win a free vacation to Paris.

AlladinOne [14]

Answer:

0.0014 = 0.14% probability that Ashley, Bob, Claire, and Daniel will be chosen.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

The order in which the students are chosen is not important, so the combinations formula is used to solve this question.

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

Desired outcomes:

4 students from a set of 4(Ashley, Bob, Claire, and Daniel). So

$D = C_{4,4} = \frac{4!}{4!(4-4)!} = 1$

Total outcomes:

4 students from a set of 13(number of students in the lottery). So

$T = C_{13,4} = \frac{13!}{4!(13-4)!} = 715$

Probability:

$p = \frac{D}{T} = \frac{1}{715} = 0.0014$

0.0014 = 0.14% probability that Ashley, Bob, Claire, and Daniel will be chosen.

7 0

3 years ago

Roger had $1200. He bought a phone with 0.4 of the money and a helmet with 0.5 of the remaining money. What is the amount of mon

Paul [167]

Answer:

the remaining money is $1189.22

Step-by-step explanation:

7 0

3 years ago

The escalator rises 25° from the ground and a vertical distance of 42 feet. How much horizontal distance does the escalator cove

zvonat [6]

Tangent (25) = opp / adj = 42 / horizontal distance
horizontal distance = 42 / tangent (25)
horizontal distance = 42 / 0.46631
horizontal distance = 90.068838326435200 
horizontal distance = 90.1 feet

5 0

3 years ago

Plz answer both questions 15 points

anyanavicka [17]

Answer:

If the signs of rational numbers are same, then the answer is positive.

If the signs of rational numbers are different, then the answer is negative.

Step-by-step explanation:

Consider the provided information.

A: When multiplying or dividing rational numbers, when will the answer be positive?

If we are multiplying or dividing rational numbers the answer will be positive if and only if both the rational numbers have same sign.

For example: Multiply 2 and 4.

2×4=8 (same sign)

Multiply -2 and -4.

-2×-4=8 (same sign)

8 is a positive rational number.

Now divided 2 and 4.

$\frac{2}{4} =\frac{1}{2}$

Divided -2 and -4.

$\frac{-2}{-4} =\frac{1}{2}$

1/2 is a positive rational number.

Hence, If the signs of rational numbers are same, then the answer is positive.

B: When multiplying or dividing rational numbers, when will the answer be negative?

If we are multiplying or dividing rational numbers the answer will be negative if and only if both the rational numbers have different sign.

For example: Multiply 2 and -4.

2×-4=-8 (different sign)

Multiply -2 and 4.

-2×4=-8 (different sign)

-8 is a negative rational number.

Now divided 2 and -4.

$\frac{2}{-4} =-\frac{1}{2}$

Divided -2 and 4.

$\frac{-2}{4} =-\frac{1}{2}$

-1/2 is a negative rational number

Hence, If the signs of rational numbers are different, then the answer is negative.

3 0

3 years ago

ONE QUESTION just one. Help

Semmy [17]

Answer:

0.015625

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers