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1 year ago

¿Cuáles son los primeros cuatro números de la sucesión que se determina con la regla 5n + 2?

Mathematics

1 answer:

STatiana [176]1 year ago

8 0

Answer:

Given, a

=(5n+2).

First four terms can be obtained by putting n=1,2,3,4

=(5×1+2)=7

=(5×2+2)=12

=(5×3+2)=17

=(5×4+2)=22

First 4 terms in the sequence are 7,12,17,22.

Step-by-step explanation:

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In science class, the students observed 24 of the 300 frogs from the local aquarium. If 6 of the frogs observed had spots, how m

Alona [7]

Answer:

225 frogs

Step-by-step explanation:

Total population of frogs = 300 frogs.

Observed population of frogs = 24

6 of the 24 observed frogs had spots

Which means , the number of frogs that did not have spots = 24 - 6 = 18 frogs.

We were told to find how many of the total population can be predicted to NOT have spots. We would form a proportion.

If 24 frogs = 18 frogs with no spots

300 frogs = Y

Cross multiply

24Y = 300 × 18

Y = (300 × 18) ÷ 24

Y = 5400 ÷ 24

Y = 225 frogs.

This means out of 300 frogs, 225 frogs do not have spots.

Therefore, the total population that can be predicted to NOT have spots is 225 frogs.

the total population can be predicted to NOT have spots

3 0

2 years ago

How many ways are there to select a 5-card hand from a regular deck such that the hand contains at least one card from each suit

Snezhnost [94]

Answer:

There are 685464 ways of selecting the 5-card hand

Step-by-step explanation:

Since the hand has 5 cards and there should be at least 1 card for each suit, then there should be 3 suits that appear once in the hand, and one suit that apperas twice.

In order to create a possible hand, first we select the suit that will appear twice. There are 4 possibilities for this. For that suit, we select the 2 cards that appear with the respective suit. Since there are 13 cards for each suit, then we have ${13 \choose 2} = 78$ possibilities. Then we pick one card of all remaining 3 suits. We have 13 ways to pick a card in each case.

This gives us a total of 4*78*13³ = 685464 possibilities to select the hand.

6 0

3 years ago

Justify each step in solving the equation 5(y+3)-11=-y-6 by writing a reason for each statement.

liubo4ka [24]

Explanation:

5(y+3)-11=-y-6 Given

5(y+3)=-y+5 . . . . addition property of equality (11 is added)

5y+15=y+5 . . . . . distributive property (5 is distributed)

5y=-y-10 . . . . . . . addition property of equality (-15 is added)

6y=-10 . . . . . . . . . addition property of equality (y is added)

y=-5/3 Division Property of Equality/Reduce

6 0

3 years ago

Uber is now charging a $2.50 flat rate in addition to $0.75 per mile for your ride. Janae can spend at most $13 on her Uber Ride

Alex777 [14]

Answer:

B: 10

Step-by-step explanation:

Full charge can be expressed as equation:

c = 2.5 + 0.75m, where c- charge, m- miles

The limit for charge is $13, then we got inequality:

0.75m + 2.5 ≤ 13
0.75m ≤ 9.5
m ≤ 9.5/0.75
m ≤ 12.66

Option B: 10 is correct as the only number satisfying the inequality

7 0

3 years ago

Read 2 more answers

You want to place a towel bar that is 24 1⁄4 centimeters long in the center of a door that is 70 1⁄3 centimeters wide. How far s

Leviafan [203]

Heres Is Your Answer Below

70 1/3- 24 1/4=?

70 4/12- 24 3/12= 46 1/12

46 1/12 /2= 23 1/24

23 1/24 Would be Your Answer

Have A Great Day!

3 0

2 years ago