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Dmitry [639]
3 years ago
7

Answer all of the following questions above. I will give brainliest to the correct answer!

Mathematics
1 answer:
zepelin [54]3 years ago
5 0

Answer:

40

112

2n^2 + 2n       C

Step-by-step explanation:

a)The correct formula is 2n^2 + 2n

So for n =4, the answer is

2*4^2 + 2*4

2*16 + 8

32 + 8

40

b) For the seventh answer you get

2 * 7^2 + 2*7

2*49 + 14

98 + 14

112

c) The correct formula to use is

2n^2 + 2n  See diagrams for the number of matchsticks to be used.

n                    2n^2 + 2n

1                    2*1^2 + 2*1

1                    2 + 2

1                    4

2                    2*2^2 + 2*2

2                    2* 4 + 4

2                    8 + 4

2                    12

3                    2*3^2 + 2*3

3                    18 + 6

3                    24

What an extremely interesting sequence. I'll bet not one person in 100 could get this without the match stick diagrams.  I'm sorry I didn't read the question more carefully.

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The sum of Rhonda and her daughter Tenica’s age is 64. The difference in their ages is 28. How old is each person?
iragen [17]

Answer:

The mother (Rhoda) is 46 years old.

The daughter (Tenica) is 18 years old

Step-by-step explanation:

Let the age of the mother (Rhoda) be m

Let the age of the daughter (Tenica) be d.

The sum of Rhonda and her daughter Tenica’s age is 64. This can be written as:

m + d = 64 ... (1)

The difference in their ages is 28. This can be written as:

m – d = 28 ... (2)

From the above illustrations, the equation obtained are:

m + d = 64 ... (1)

m – d = 28 ... (2)

Solving by elimination method:

Add equation 1 and 2 together

. m + d = 64

+ m – d = 28

¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

2m = 92

Divide both side by 2

m = 92/2

m = 46

Substitute the value of m into any of the equation to obtain the value of d. Here, we shall use equation 1

m + d = 64

m = 46

46 + d = 64

Collect like terms

d = 64 – 46

d = 18

Therefore, the mother (Rhoda) is 46 years old and the daughter (Tenica) is 18 years old.

3 0
3 years ago
After the addition of an acid, a solution has a volume of 90 milliliters. The volume of the solution is 3 milliliters greater th
11111nata11111 [884]

Answer: 21.75\ milliliters

Step-by-step explanation:

Let be "x" the original volume of the solution (in milliliters) before the acid was added and "y" the volume of the solution (in milliliters) after the addition of the acid.

Set up a system of equations:

\left \{ {{x+y=90} \atop {y=3x+3}} \right.

Applying the Substitution Method, you can substitute the second equation into the first equation and then solve for "x":

x+y=90\\\\x+(3x+3)=90\\\\4x+3=90\\\\x=21.75

6 0
4 years ago
According to the graph about _____ of households in Africa owns a computer in 2008.
inna [77]

Answer:

According to the graph about <u>5 percent</u> of households in Africa owns a computer in 2008.

2013 about 1/3 of all households in <u>Asia</u> had a computer.

The number of households with a computer is <u>increasing</u> in all regions overtime.

8 0
3 years ago
If WXY is equilateral and WZY is<br> isosceles, find each missing measure.
timurjin [86]

Answer:

m∠1 = 60°

m∠2 = m∠4 = 39°

m∠3 = m∠5 = 21°

Step-by-step explanation:

ΔWXY is a equilateral angle,

Therefore, all angles of the the triangle are equal in measure.

m∠W + m∠X + m∠Y = 180°

3m∠W = 180°

m∠W = 60°

Since, ΔWZY is an isosceles triangle,

m∠3 = m∠5

m∠3 + m∠Z + m∠5 = 180°

m∠3 + 138° + m∠3 = 180°

2m∠3 = 180 - 138

m∠3 = 21°

Therefore, m∠3 = m∠5 = 21°

Since, m∠2 + m∠3 = 60°

m∠2 = 60 - 21

        = 39°

Since, m∠4 + m∠5 = 60°

m∠4 = 60 - 21

        = 39°

m∠1 = 60°

7 0
3 years ago
Read 2 more answers
Peter has 4 boxes of markers.
Sindrei [870]
4(8+1); Peter is adding one marker to each box so we add 1 to 8 first because of order of operations (PEMDAS). There are 9 markers in each of the four boxes, 9 x 4 is 36 markers total
4 0
3 years ago
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