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3 years ago

Of two consecutive integers, four times the smaller is 30 more than three times the larger. Find both integers,

Mathematics

1 answer:

WITCHER [35]3 years ago

5 0

Answer:

33 and 34

Step-by-step explanation:

Let the integers be x and x+1 respectively.

4x = 3(x+1) + 30

x = 33

therefore, the integers are 33 and 34

This is a question on forming and solving algebraic equations. If you wish to venture further into it/understand this topic better, you may want to follow my Instagram account (learntionary), where I post some of my own notes on certain topics and also some tips that may be useful to you :)

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A company claims its video game players have a defective rate of 4%. What is the probability that you and a friend both receive

alex41 [277]

Since you're looking for the chance that the defective player occurs twice, you need to find the chance your friend receives a defective player given that you also receive one. The chance you receive a defective player is 4%, or 0.04. If you friend also receives a defective player, then the chance of both occurring is 4% of 4%, or 0.04 * 0.04, which equals 0.0016. So the probability that you can a friend both receive a defective player is 0.16%.

5 0

3 years ago

Jada, Lin, and Elena are saving money for a trip. Together they saved $120. Jada saved $20 less than Lin. Lin saved 3 times as m

otez555 [7]

Answer:

Jada saved $40, Lin saved $60 and Elena saves $20

Step-by-step explanation:

Let the amount saved by Jada be x

Let the amount saved by Lin be y

Let the amount saved by Elena be z

If together they saved $120, then x+y+z = $120 ......... 1

If Jada saved $20 less than Lin, then x = y- 20 .....2

If Lin saved 3 times as much money as Elena, then y = 3z ...... 3

From equation 3, z = y/3 ....... 4

substitute equation 2 and 4 into 1;

x+y+z = $120

(y- 20)+ y + y/3 = 120

2y + y/3 - 20 = 120

2y + y/3 = 120+20

2y + y/3 = 140

multiply through by 3

6y + y = 420

7y = 420

divided through by 7

7y/7 = 420/7

y = 60

Since y = 3z

60 = 3z

z = 60/3

z = 20

From equation 2, x = y- 20

x = 60-20

x = 40

Hence Jada saved $40, Lin saved $60 and Elena saves $20

3 0

3 years ago

If you were to roll the dice one time what is the probability it will land on 4

vovangra [49]

Answer: 1/6

Step-by-step explanation: To find the probability of rolling a 4, let's use our ratio for the probability of an event which is shown below.

Number of favorable outcomes/total number of outcomes

Since only one side of a number cube has a 4 on it, the number of favorable outcomes for rolling a 4 is 1 and since there are six sides to a number cube and it's equally likely that the cube will land on any of these sides, the total number of outcomes is 6.

So the probability of rolling a 4 is 1/6 which is equivalent

to 0.167 or 16.7%.

That means it is't likely that you would roll a 4 for instance but it's just as likely as rolling any other number.

3 0

3 years ago

Read 2 more answers

desceibe how to determine the average rate of change between x=4 and x=6 for the function f(x)=2x^3 +4

Ann [662]

$slope = m = \cfrac{rise}{run} \implies \cfrac{ f(x_2) - f(x_1)}{ x_2 - x_1}\impliedby \begin{array}{llll} average~rate\\ of~change \end{array}\\\\[-0.35em] \rule{34em}{0.25pt}\\\\ f(x)= 2x^3+4\qquad \begin{cases} x_1=4\\ x_2=6 \end{cases}\implies \cfrac{f(6)-f(4)}{6-4} \\\\\\ \cfrac{[2(6)^3+4]~~ -~~[2(4)^3+4]}{2}\implies \cfrac{436~~ -~~132}{2}\implies \cfrac{304}{2}\implies 152$

4 0

2 years ago

What is the length of the hypotenuse of right ΔDEF shown? A) √5041 B) √2545 C) √497 D) √1063

spin [16.1K]

The length of the hypotenuse of right triangle ΔDEF is 50.44 units

<h3>How to find hypotenuse of a right triangle?</h3>

The hypotenuse side can be found using Pythagoras theorem,

Therefore,

c² = a² + b²

where

c = hypotenuse
a and b are the other legs.

Therefore,

x² = 39² + 32²

x² = 1521 + 1024

x = √2545

x = 50.4479930225

x = 50.44

learn more on right triangle here: brainly.com/question/12353375

#SPJ1

5 0

1 year ago