MATHEMATICS HIGH SCHOOL

Jordan and Sydney work at a dry cleaners ironing shirts. Jordan can iron 20 shirts per hour, and Sydney can iron 25 shirts per hour. Jordan worked 4 more hours than Sydney and they ironed 350 shirts between them. Determine the number of hours Jordan worked and the number of hours Sydney worked.

Answers

Answer 1

Answer:

Answer: Jordan worked for 10 hours and Sydney worked for 6 hours.

Step-by-step explanation:

Let x represent the number of hours

that Jordan worked.

Let x represent the number of hours that Sydney worked.

Jordan can iron 20 shirts per hour, and Sydney can iron 25 shirts per hour. They ironed 350 shirts between them. It means that

20x + 25y = 350- - - - - - - - - - - 1

Jordan worked 4 more hours than Sydney. It means that

x = y + 4

Substituting x = y + 4 into equation 1, it becomes

20(y + 4) + 25y = 350

20y + 80 + 25y = 350

20y + 25y = 350 - 80

45y = 270

y = 270/45

y = 6

x = y + 4 = 6 + 4

x = 10

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G(x) = 3x -1. Find x such that g(x)= 20.g(x)= 3x+1. Find x such that g(x)= 22.

g(x)= 2x-5. Find g(1/2) and g(a)=99.
g(x)=x+5/2. Find g(3), g(0), g(-3) and g(x)=0

Please solve this quickly. I need it right now. No silly answer will not be allowed.

Answers

Step-by-step explanation:

i. 3x-1=20

or, 3x= 21

x= 7

ii. 3x+1= 22

3x= 21

x= 7

iii. 2x-5=99

2x= 104

x=52

iv. g(3)= 3+5/2= 11/2

g(0)= 0+ 5/2=5/2

g(-3)= -3+5/2 = -1/2

x+5/2= 0

so, x= -5/2

Ex 2.68. find the stationary points on the curve y=3x^4 -4x³ -12x² +1 and determine whether they are maximum or minimum turning points

Answers

$y=3x^4 -4x^3 -12x^2 +1\ny'=12x^3-12x^2-24x\n\n12x^3-12x^2-24x=0\n12x(x^2-x-2)=0\n12x(x^2+x-2x-2)=0\n12x(x(x+1)-2(x+1))=0\n12x(x-2)(x+1)=0\nx=0 \vee x=2 \vee x=-1\n\n\forall{x\in(-\infty,-1)\cup(0,2)}\ y'<0\Rightarrow y\searrow\n\forall{x\in(-1,0)\cup(2,\infty)}\ y'>0\Rightarrow y\nearrow\n\Downarrow\ny(0)=1=y_(max)\ny(2)=3\cdot2^4-4\cdot2^3-12\cdot2^2+1=48-32-48=-32=y_(min)$
$y(-1)=3\cdot(-1)^4-4\cdot(-1)^3-12\cdot(-1)^2+1=3+4-12+1=-4=\n=y_(min)$

The value of 7 is 200 percent of what number?

Answers

14. Multiply by 2.00, as u would in moving a decimal point 2 times to the right when converting a percent to a decimal.

$1\%\cdot a= (1)/(100)\cdot a\n \n--------------------------\n200\%\cdot7= (200)/(100) \cdot 7=2\cdot 7=14\n \nAns. \ 14$

Is the inequality below sometimes, always, or never true? -2(2x + 9) > -4x + 9 A. always B. sometimes C. never

Answers

First simplify the inequality.
-2(2x+9) > -4x+9
Distribute the -2 over parentheses.
-4x-18 > -4x+9
Add 4x to each side to get rid of it.
-18 > 9
This statement is never true because -18 can never be greater than 9.

C. Never

solve it to see

distribute
-4x-18>-4x+9
add 4x both sides
-18>9
add 18 both sides
0>36
false
never true
C

Consider these three squares with known area. 3 squares. The smallest square is labeled 25, the next square is 144, and the largest square is 169. Can a right triangle be formed using these squares?

Answers

Answer:

The answer is "5, 12, and 13".

Step-by-step explanation:

Please find the complete question in the attached file.

The right triangle is a triangle with only an angle of 90 degrees, as well as the go in the angle of 90 degrees, which is considered a hypotenuse.

The hypotenuse calculation square is equivalent to both the squared measures of the other two sides:

$C^2=A^2+B^2$

And even those squares do verify the equation:

$169 = 144 + 25$

So, it's a rectangular (right) triangle, with sides spanning $5, 12, \ and \ 13.$

Answer:

Step-by-step explanation:

11Select the correct answer.
The elimination method is ideal for solving this system of equations. By which number must you multiply the second equation to eliminate the
yavariable, and what is the solution for this system?
x + 3y - 42
2x-y-14
OA. Multiply the second equation by-3. The solution is x = 12. y - 9.
ов.
Multiply the second equation by-2. The solution is x-12. y = 10.
OC.
Multiply the second equation by 2. The solution is x - 15, y = 9.
OD
Multiply the second equation by 3. The solution is x - 12. = 10.
Reset
Next

Answers

Answer:

D. Multiply the second equation by 3. The solution is x = 12, y = 10

Step-by-step explanation:

Given:

x + 3y = 42 (first equation)

2x - y = 14 (second equation)

To solve by elimination, starting with elimination of the y-variable, multiply the second equation by 3 to get a third equation.

2x - y = 14 (2nd eqn.) × 3

6x - 3y = 42 (3rd equation)

Add the 3rd equation and the 1st equation together.

x + 3y = 42 (first equation)

6x - 3y = 42 (3rd equation)

7x = 84

7x/7 = 84/7

x = 12

To find y, substitute x = 12 in the first equation

x + 3y = 42 (first equation)

12 + 3y = 42

12 + 3y - 12 = 42 - 12

3y = 30

3y/3 = 30/3

y = 10

Solution is x = 12, y = 10

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