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Alik [6]
3 years ago
5

Q # 10 please. help me. to resolve

Mathematics
1 answer:
Travka [436]3 years ago
6 0
Answer is c. for example - if you put in 5 as the x value, you get (5+8) squared. that simplified is 13 squared, which is 169.
all x values on the table, when plugged into the third equation, end up with the correct y value
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The sum of the ages of Berma, her mother Rinna and her father Erwin is 80. Two years from now, Rinna’s age will be 13 less than
jekas [21]

Answer: Berma is 5 years old

Rinna is 38 years old

Erwin is 37 years old

Step-by-step explanation:

Let x represent Berma's age

Let y represent Rinna's age

Let z represent Erwin's age

Since the sum of their ages is 80,

x + y + z = 80 - - - - - - -1

Two years from now, Rinna’s age will be 13 less than the sum of Erwin’s age and twice Berma’s age. This means that

y +2 = [ (z+2) + 2(x+2) ] - 13

y +2 = z + 2 + 2x + 4 - 13

2x - y + z = 13 + 2 - 4 -2

2x - y + z = 9 - - - - - - -2

Three years ago, 15 times Berma’s age was 5 less than the age of Rinna. It means that

15(x - 3) = (y - 3) - 5

15x - 45 = y - 3 - 5

15x - y = - 8 + 45

15x - y = 37 - - - - - - - -3

From equation 3, y = 15x - 37

Substituting y = 15x - 37 into equation 1 and equation 2, it becomes

x + 15x - 37 + z = 80

16x + z = 80 + 37 = 117 - - - - - - 4

2x - 15x + 37 + z = 9

-13x + 2 = -28 - - - - - - - - -5

subtracting equation 5 from equation 4,

29x = 145

x = 145/29 = 5

y = 15x - 37

y = 15×5 -37

y = 38

Substituting x= 5 and y = 38 into equation 1, it becomes

5 + 38 + z = 80

z = 80 - 43

z = 37

6 0
3 years ago
A carnival charges $6 for admission and $2.50 per ride. You have $50 to spend at the carnival. Which of the following inequaliti
Firdavs [7]

Answer:

6+2.5r\leq 50

Step-by-step explanation:

Hi!

The options regarding the inequalities are not listed, though we can still proceed to write the inequality.

From the problem statement you cannot spend more than $50

and you are charged admission fee of $6 flat

a ride cost $2.50 per ride

the number of rides is given as r

yet in all you must not go beyond your limit

Therefore the inequalities can be presented as

6+2.5r\leq 50

4 0
3 years ago
Read 2 more answers
From Apex Algebra 2!! HELP!!! I’ll rate you the brainliest :) (Part 1 and 2)
ivann1987 [24]

slope (m ) = \frac{5}{2} , y - 1 = \frac{5}{2} ( x - 2)

The equation of a line in ' point- slope form 'is

y - b = m (x - a)( m is the slope and (a , b ) a point on the line )

To calculate m use the ' gradient formula'

m = (y₂ - y₁ )/(x₂ - x₁ )

let (x₁, y₁ ) = (2 , 1) and (x₂, y₂ ) = (14 , 31) ← values chosen from table

m = (31 - 1 )/(14 - 2 ) =\frac{30}{12} = \frac{5}{2}

equation in point- slope form using m = \frac{5}{2} and (a,b )= (2 , 1)

y - 1 = \frac{5}{2} ( x - 2)



7 0
3 years ago
Solve the system of equations. Use any method you prefer.
ira [324]

Step-by-step explanation:

-2x-2x+5=-1-2x-2x+5=1

3 0
2 years ago
A group of friends decided to equally share a package of trading cards. If there were 108 cards in the package and each person r
Ray Of Light [21]

Answer:

Number of friends in the group = 9

Step-by-step explanation:

Number of cards in the package = 108

Number of cards each friend gets = 12

How many friends were in the group?

Number of friends in the group = Number of cards in the package / Number of cards each friend gets

= 108 / 12

= 9

Number of friends in the group = 9

8 0
3 years ago
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