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garik1379 [7]
3 years ago
14

A group of boys and girls are trying out for coed hockey. There were 34 children that tried out for the team. The number of girl

s that tried out was two more than triple the number of boys. Write a system of equations that could be set up and used to solve for the number of boys, b , and the number of girls, g, that tried out for the coed hockey team.
Mathematics
1 answer:
Monica [59]3 years ago
7 0

Answer:

Step-by-step explanation:

.

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A glass top of an office table is in the form of rectangle. The diagonal of the table have length 5x-11 and 2x+25
3241004551 [841]

Answer:

1) The value of x is 12.

2) The length of the diagonal is 49.

Step-by-step explanation:

1) If the glass is a rectangle, then both diagonal must have the same length, that is, the following equation must be solved:

5\cdot x - 11 = 2\cdot x + 25 (1)

We need some algebraic handling to determine the value of x:

5\cdot x - 11 = 2\cdot x + 25

5\cdot x - 2\cdot x = 25 +11

[5+(-2)] \cdot x = 36

3\cdot x = 36

x = 12

The value of x is 12.

2) If we know that x = 12, then the length of the diagonal (d) is:

d = 2\cdot x + 25

d = 49

The length of the diagonal is 49.

4 0
3 years ago
The ordered pair(5,-3) is a solution to which of the following inequalities? a. y≥−2x+8 b. −2y<3x−9 c. y−2x>5 d. 4y+2x≤−1
stiks02 [169]

Answer:

Option d. 4y+2x\leq -1

Step-by-step explanation:

we know that

If a ordered pair is a solution of an inequality, then the ordered pair must be satisfy the inequality

Verify each case

case a) y\geq2x+8

we have

x=5, y=-3

Substitute the value of x and the value of y in the inequality and then compare the results

-3\geq2(5)+8

-3\geq18 -----> is not true

therefore

the ordered pair is not a solution

case b) -2y

we have

x=5, y=-3

Substitute the value of x and the value of y in the inequality and then compare the results

-2(-3)

6 -----> is not true

therefore

the ordered pair is not a solution

case c) y-2x>5

we have

x=5, y=-3

Substitute the value of x and the value of y in the inequality and then compare the results

-3-2(5)>5

-13>5 -----> is not true

therefore

the ordered pair is not a solution

case d) 4y+2x\leq -1

we have

x=5, y=-3

Substitute the value of x and the value of y in the inequality and then compare the results

4(-3)+2(5)\leq -1

-2\leq -1 -----> is  true

therefore

the ordered pair is a solution

7 0
4 years ago
What is the sum of the first 35 numbers in the arithmetic series
kirill115 [55]

<span>The sum of the first 35 numbers in the arithmetic series </span>124 + 133 + 142 + 151 + ⋯ is 9695. The correct answer between all the choices given is the fourth choce or letter D. I am hoping that this answer has satisfied your query about and it will be able to help you.

8 0
4 years ago
the volume of a box is 45x^3 + 198x^2 + 189x. find expressions for the possible dimensions of the prism
Oxana [17]

Answer:

length, width, and height are (b+2), (b-2), (b+3)

Step-by-step explanation:

Doing what the problem statement tells you to do, you get ...

 (b^3 +3b^2) -(4b +12)

 = b^2(b +3) -4(b +3) . . . factor each pair of terms

 = (b^2 -4)(b +3) . . .  write as a product

 = (b -2)(b +2)(b +3) . . . use the factoring of the difference of squares

The three factors are (b-2) , (b+2) , and (b+3). We have no clue as to how to associate those with length, width, and height. We just know these are the dimensions of the box.

7 0
3 years ago
I need some help please!!
shtirl [24]
X is minus 30 over 7
So you can cross multiply and multiply the values.
Then you can solve it like a normal equation

8 0
3 years ago
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