MATHEMATICS HIGH SCHOOL

Add any three numbers of the following and answer should be 60?(2 , 6, 10, 14, 18, 22, 26, 30, 34, 38, 42, 46, 50, 54, 58)

Answers

Answer 1
Answer:

Answer:

This is not possible.

Step-by-step explanation:

The given series is : 2 , 6, 10, 14, 18, 22, 26, 30, 34, 38, 42, 46, 50, 54, 58

Now, adding any three numbers to get 60, is not possible.

The numbers are in the form 2+4n where n is a positive integer.

Summing together three such numbers you get 6+4N

(N = n1 + n2 + n3, ...)

We want to get 6+4N= 60

=> 4N =54

=> n1+n2+n3 =27.5

Hence, it is not possible.
Answer 2
Answer: six, twenty- two, and thirty

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Rachna has nickels, dimes, and quarters in her piggy bank. She has $4.65 altogether. She has three more quarters than dimes and twice as many nickels as quarters. How many quarters does Rachna have? a.8
b.11
c.22
d.41

Answers

the value of the coin times the number of coins equals the total value
so
0.05n + 0.10d + 0.25q = 4.65

the we are given that there are "three more quarters than dimes"
this translates to
q = d + 3
or
d = q - 3

then we are also given that there are "twice as many nickels as quarters"
this translates to
n = 2q

we plug d = q - 3 and n=2q
into the first equation and solve for q
0.05(2q) + 0.10(q-3) + 0.25q = 4.65

we distribute/multiply
0.10q + 0.10q - 0.30 + 0.25q = 4.65

then add like terms
0.45q - 0.30 = 4.65

then add 0.30 to both sides
0.45q = 4.95

then divide both sides by 0.45
and we get
q = 4.95/0.45 = 11

therefore there are 11 quarters

The sum of three consecutive integers is 1,623. How do you write this as an equation?

Answers

consecutive integers are 1 away from each other therefor they are
x,x+1,x+2

they add to1623
so
x+x+1+x+2=1623 is equation
(fyi 540,541,542 are the numbes)
Since we are looking for a sum, we add.  Since we know the integers are consecutive, then we know that the second number will be one more than the first number and the third number will be two more than the first number... so we can set up the equation by setting the first number as "x" and then

x + (x + 1) + (x + 2) = 1623

Now we combine like terms

3x + 3 = 1623

Subtract 3 from each side

3x = 1620

Divide each side by 3

x = 1620/3 = 540

So we have the first number as 540, so the next numbers will be 541 (x +1) and 542 (x + 2)

540, 541, and 542

Check the answer by adding them together to see if they add to 1623

What is the arc measure of ABC in degrees?with

(20y - 11)

(4y +6) AP

(7y - 7)

Answers

Answer:

The measure of arc ABC is 283°.

Step-by-step explanation:

We know that the whole arc is equal to 360°, that means

AC+AB+BC=360

Where AC=7y-7, AB=4y+6 and BC=20y-11. Replacing these expressiones, we have

7y-7+4y+6+20y-11=360\n31y-12=360\n31y=360+12\ny=(372)/(31)\ny=12

But, arc ABC is defined by the sum of arcs AB and BC:

ABC=AB+BC=4y+6+20y-11=24y-5=24(12)-5=283

Therefore, the measure of arc ABC is 283°.

Answer:

Arc measure of ABC is 283°

Step-by-step explanation:

We know the total angle of the circle is 360°.

Therefore,

(20y - 11) + (4y +6) + (7y - 7) = 360°

Collecting like terms, we have:

20y + 4y + 7y = 360 + 7 - 6 + 11

31y = 372

Let's divide both sides by 31.

(31y)/(31) = (372)/(31)

y = 12

The arc measure of ABC is the sum of AB and BC. To find the arc measure of ABC, we have:

(4y +6) + (20y - 11)

Collecting like terms, we have:

4y + 20y + 6 - 11

24y - 5

Let's substitute 12 for y

24(12) - 5

288 - 5 = 283°

Arc measure of ABC is 283°

Sin inverse[sin 6pi/7]. I'm suppose to find the exact value.

Answers

sin^(-1) (sin (6 \pi )/(7) )= (6 \pi )/(7)

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Answers

n = n0(1 - 0.08)^t 
= n0(0.92)^t 

Putting n = n0 / 2: 
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= 8.31 yr.

Use the percent proportion to find each
10. 25 is what percent of 125?

Answers

25/125 x 100% = 20%.
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