The sum of two consecutive odd integers is 68. What is the smaller number? A. 29. B. 31. C. 33. D.35.

Answers

Answer 1
Answer:

Answer:

33

Step-by-step explanation:

i don't know the step by step explanation so sorry for that


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What are the side lengths of a rectangle if the area = 40 in and the perimeter = 48 in

Answers

4, 10, 4, 10. 10*4 gives area of 40. 10+10+4+4 gives 48 as shown in question
a,b-the\ side\ lengths\ of\ a\ rectangle\n \na\cdot b=40\ [in^2]\ \ \wedge\ \ \ 2\cdot(a+b)=48\ [in]\n \n a+b=24\ \ \ \Rightarrow\ \ \ a=24-b\ \ \ \Rightarrow\ \ \ ab=(24-b)b=24b-b^2\n \nab=40\ \ \ \Rightarrow\ \ \ 24b-b^2=40\ \ \ \Rightarrow\ \ \ -b^2+24b-40=0\ /\cdot(-1)\n \nb^2-24b+40=0\ \ \Rightarrow\ \Delta=(-24)^2-4\cdot40=576-160=416=16\cdot 26\n \n

√(\Delta) =4 √(26) \ \ \ \Rightarrow\ \ \ b_1= (24-4 √(26) )/(2)=12-2 √(26)\ \Rightarrow\ a_1=12+2 √(26) \n \n.\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ b_2= (24+4 √(26) )/(2)=12+2 √(26)\ \Rightarrow\ a_2=12-2 √(26)

Can someone please help me with this (its percent of change word problems)

Answers

Hey there!

When you have a number you are starting with that is your 100%. If he next number you have is higher it's going to be more than 100%, and if the other number is less it's going to be less than 100%. Since Tuesday's speed is twice as fast as Monday's, her speed increased by 100%

Hope this helped, have a good one :)

If the teams best time for the race isn’t less than 4 minutes, then the eighth graders earn 40 points. If not, seventh earn 40 points. Which grade should be awarded 40 points The time for each team is 56.81, 59.22, 57.39, and 60.11

Answers

The team’s best time for the race is 3.89.

What is average?

Average is the quotient obtained by dividing the sum total of a set of figures by the number of figures.

Given that, the eighth graders are running a baton relay race with three other classmates. The team’s top speed for each leg is 56.81 seconds, 59.22 seconds, 57.39 seconds, and 60.11 seconds.

The team’s best time for the race is

56.81 + 59.22 + 57.39 + 60.11 = 233.53

1 min = 60 sec

Therefore,

233.53/60 ≈ 3.89

Hence, the team’s best time for the race is 3.89.

For more references on average, click;

brainly.com/question/24057012

#SPJ2

Answer:

Of course the seventh graders

Step-by-step explanation:

the sum of all four times are not bigger than four minutes into seconds(4*60=240)

there are four marbels in a bag with the colors red white blue and green john pulls out one marbel and rosses a coin how many elements are there in the sanple space 2,4,8 or 16 plz help

Answers

There are 4 mables in the bag and a coin has 2 faces, Therefore the sample space contains 4 x 2 = 8 elements.

The voltage V of an audio speaker can be represented by V= 4 sqrt P ​, where P is the power of the speaker. An engineer wants to design a speaker with 361 watts of power. What will the voltage​ be?

Answers

The voltage of an audio speaker is 76 volts.

Given that

The voltage V of an audio speaker can be represented by \rm V = 4√(P).

Where P is the power of the speaker.

An engineer wants to design a speaker with 361 watts of power.

We have to determine

What will the voltage​ be of an audio speaker?

According to the question

The voltage V of an audio speaker can be represented by \rm V = 4√(P).

The power of the audio speaker = 361 watts

The voltage of an audio speaker is;

\rm V = 4√(P)\n\n\rm V = 4√(361)\n\nV = 4 * 19\n\nV = 76

Hence, the voltage of an audio speaker is 76 volts.

To know more about Power click the link given below.

brainly.com/question/26176670

Answer:

Voltage=76\ volts

Step-by-step explanation:

Given\ V=4√(P)\n\nwhere\ V\ is\ voltage\ and\ P\ is\ Power.

Here\ power\ is\ given\n\nP=361\ watts\n\nSubstitute\ P\ in\ the\ given\ equation\n\nV=4√(P)\n\nV=4√(361)\n\nV=4√(19* 19)\n\nV=4* 19\n\nV=76\ volts

Solve each equation and show work -v+3v=14

-7=-4-v+3

12=-3k-7

B+4-8=2

Answers

Answer:

hopefully can help you..