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Law Incorporation [45]
3 years ago
10

Three consecutive integers whose sums is 66

Mathematics
1 answer:
Rufina [12.5K]3 years ago
4 0
Let x be the first of those three integers. Then we know that x+2 and x+4 are the next two consecutive integers. So our first integer is 20, and the next two are 22 and 24.May 27, 2015
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Christine is 4 years younger than Mark. 3 years from now, she will be two-thirds as old as Mark find their present ages.Complete
icang [17]

Answer:Mark Is 9 years old; Christine is 5 years old

Step-by-step explanation:

Present age

LET  mark age be x

Christine be x-4 yrs

In 3 yrs Time

Mark will be x+3 yrs old

Christine  will be  (x -4 +3) = x-1 years old

Also, In 3 years time

Christine  = 2/3 Mark

such that

  x-1 = 2/3(x+3)

  x -1= 2x+6 / 3

    3x  -3= 2x+6

      3X--2X = 6+3

         =X=9

Mark Is 9 years old

Christine is   x -4 = 9-4=5 years old

5 0
3 years ago
 Which of the following are solutions to the equation below?
Novosadov [1.4K]

Answer:

The answer to your question is F

6 0
2 years ago
Bertha buys electricity from a company that offers a choice of two tariffs. Both have a daily charge of $0.20 regardless of how
Alenkasestr [34]

Answer: D ( 17/20)

Step-by-step explanation:

The two choices are:

The ‘standard’ tariff charges = $0.10 per unit

The ‘day/night tariff’ = $0.12 per unit for each unit consumed between 06:00 and 22:00 but only $0.05 for each unit consumed between 22:00 and 06:00

The day time is between 22:00 and 06:00

Time = 22 - 6 = 16 hours

Let assume that the charges are unit per hour.

For standard tariff = (16 × 0.10) + 0.2

Standard tariff = 1.6 + 0.2 = 1.8

For day/night = (16 × 0.12) + 0.2

= 1.92 + 0.2

= 2.12

The proportion will be

1.8/2.12 = 17/20 ( approximately)

6 0
3 years ago
Find the lateral area for the pyramid with the equilateral base.
Dafna11 [192]

Answer:

Option A is the correct answer.

Explanation:

 The given pyramid has 3 lateral triangular side as shown below.

 Base of triangle = 12 unit

 We need to find perpendicular.

  By Pythagoras theorem we have

            Perpendicular² = 10²-6²

           Perpendicular = 8 unit

So area of 1 lateral triangle = 1/2 x Base x Perpendicular.

                                             = 1/2 x 12 x 8 = 48 unit²

Area of lateral side = 3 x 48 = 144 unit²    

Option A is the correct answer.                

7 0
3 years ago
Read 2 more answers
In a class of 40 students, the number of girls is 10 more than the number of boys. We have to find the number of girls and the n
Nadusha1986 [10]

Answer:

b=15 g=25

Step-by-step explanation:

lets translate that story problem to mathematics equations

the problem told that no. of girls are 10 more than no of boys so this will =

g=b+10

then in class there are 40 students that means

g+b=40

now we have to equations with two variables then we should substitute

(b+10)+b=40

lets remove the brackets

2b+10=40 subtract 10 from both sides

2b=30 now divide both by 2

b=15 so g=25 after you write the equation once again with the new proof or number

6 0
2 years ago
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