An employee earns a gross pay of $1,200.00 per week. The employee's net pay is $850.00. The employee's voluntary 401(k) contribution is $50.00 per month.

Answer:

a. The situation is discrete for the domain and continuous for the range.

b. i.  651 ≤ x ≤ 812. ii. $ 195.3 ≤ x ≤ $ 243.6.

Step-by-step explanation:

a. This is because we can only have a whole number of students which in turn leads to a whole number of candies. Also, since the cost of each candy box is $ 3/10 = $ 0.3, it is a real number. So, the total cost of candy will also be a real number. Thus, the situation is discrete for the domain and continuous for the range.

b. i. Let x be the number of students which also equals number of candies to be bought. Since there are 7 teams and between 93 and 116 students per team, the minimum number of students is 93 × 7 = 651 and the maximum number of students is 116 × 7 = 812. So, the domain, the number of candies is 651 ≤ x ≤ 812.

ii. The range of the function is the cost of the candies. Since the cost of the candies is $ 3 per box and there are 10 per box, each candy costs $ 3/10 = $ 0.3. So the total cost of candies C = cost per candy × number of students = $0.3x.

So, the range of the candies is the minimum and maximum values of students times $ 0.3. So, 651 × $ 0.3 ≤ x ≤ 812 × $ 0.3 = $ 195.3 ≤ x ≤ $ 243.6

Answer:

(c)

Step-by-step explanation:

Given a quadratic equation in standard form

ax² + bx + c = 0

Then the product of the roots = [tex]\frac{c}{a}[/tex]

(k - 2)x² - 6x + 12 = 0 ← is in standard form

with a = k - 2 and c = 12 , thus

[tex]\frac{12}{k-2}[/tex] = 3 ( multiply both sides by (k - 1) )

12 = 3(k - 2) = 3k - 6 ( add 6 to both sides )

18 = 3k ( divide both sides by 3 )

6 = k → (c)

Answer:

x = 2

Step-by-step explanation:

[tex]37x + 2 = 38x\\=> 38x-37x=2\\=> x = 2[/tex]

Answer:

x=2

Step-by-step explanation:

37x + 2 = 38x

<=> 2 = 38x - 37x

<=> 2 = x

So x = 2

Answer:

35

Step-by-step explanation:

Answer:

a. 40÷2.89=m  b. 13

Step-by-step explanation:

Answer:

5^(1/2)

Step-by-step explanation:

5^(1/2)

Gallons (volume) and feet (length) are not compatible units. I guess you mean cubic feet.

Apparently, 1 gal = 231 in³, so

32 gal/min

= (32 gal/min) • (231 in³/gal) • (1/12 ft/in)³ • (1/60 min/s)

= (32 • 231) / (12³ • 60) ft³/s

= 77/1080 ft³/s

≈ 0.0713 ft³/s

Answer:

53 + 26

therefore m angle 4 is 79

Answer:

103,725

Step-by-step explanation:

82,980x.25+82,980

9x+2x=11x

5+8=13

=

11x+4y+13

Answer:

11x + 4y + 13

Step-by-step explanation:

ORIGNIAL EXPRESSION: 9x + 4y + 5 +2x +8

Combine like terms.

11x + 4y + 13 is the final answer.

(If this helped you, please give brainliest!)

(I did this on I-Ready and got it correct.)

Answer: Desmos will answer this question for you :) just input the functions

Step-by-step explanation:

Answer:

Equation:  4(2) + 2x = 20

Step-by-step explanation:

Subtract 8 from both sides

2x = 12

Divide both sides by 2

x = 6

She did 6 hours of chores on Sunday

The equation will be 4(2) + 2x = 20. Hence, She did 6 hours of chores on Sunday.

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

The solution of an equation refers usually to the values of the variables involved in that equation which if substituted in place of that variable would give a true mathematical statement.

Divina gets paid two dollars per hour to do her chores this weekend.

she did chores on both Saturday and Sunday.

she made a total of $20 Divina Worked for four hours on Saturday.

Let x equal hours spent doing chores on Sunday.

The equation will be

4(2) + 2x = 20

Subtract 8 from both sides

4(2) + 2x  - 8 = 20- 8

2x = 12

Divide both sides by 2

x = 6

Hence, She did 6 hours of chores on Sunday.

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Answer:

h(x)=x^2-3x+5

Step-by-step explanation:

Answer:

It's the B

Step-by-step explanation:

0.3*4=1.2

0.3 *(-8)=-2.4

-0.5*(-2.4x)= 1.2x

-0.5*4=-2

So it's 1.2x - 2.4 + 1.2x - 2

Answer:its B

Step-by-step explanation:

I just took the quiz

Answer:

15

Step-by-step explanation:

Substitute 10 for y

2(10) - 5

= 15

Answer:

 15

Step-by-step explanation:

2y-2

sinse y=10,

2(10)-5

20-5

15

Answer:

140

Step-by-step explanation:

x = 7  ; y = -2

7(2x - 3y) = 7(2*7 - 3*[-2])

               = 7(14 + 6)

              = 7 * 20

               = 140

Step-by-step explanation:

this is what I believe the answer is and the work for it

Answer:

5

Step-by-step explanation:

Answer:

I think its 5

Step-by-step explanation:

because you divide them by 3 to get the next answer and 44 divided by 3 is 15 and 15 divided by 3 is 5

Answer/Step-by-step explanation:

WX: 4.47

[tex]4^{2} + 2^{2} = 20\\\sqrt{20} = 4.47[/tex]

XY: 3.61

[tex]3^{2} + 2^{2} = 13\\\sqrt{13} = 3.61[/tex]

YZ: 4.12

[tex]1^{2} + 4^{2} = 17\\\sqrt{17} =4.12[/tex]

WZ: 4.24

[tex]3^{2} + 3^{2} = 18 \\\sqrt{18} = 4.24[/tex]

The slopes of the lines are:

WX = 2

XY = -1.5

YZ = 4

WZ = -1

Given is a polygon on a coordinate plane with vertices =

W = (-5, 1)

X = (-3, 5)

Y = (-1, 2)

Z = (-2, -2)

We need to find the slopes of line =

WX, XY, YZ and WZ

To find the slopes of the lines connecting the vertices of the polygon, we can use the formula for the slope between two points (x₁, y₁) and (x₂, y₂):

slope = (y₂ - y₁) / (x₂ - x₁)

Let's calculate the slopes for each line:

1) Slope of line WX:

W = (-5, 1)

X = (-3, 5)

slope(WX) = (5 - 1) / (-3 - (-5))

= 4 / 2

= 2

So, the slope of line WX is 2.

2) Slope of line XY:

X = (-3, 5)

Y = (-1, 2)

slope(XY) = (2 - 5) / (-1 - (-3))

= -3 / 2

= -1.5

So, the slope of line XY is -1.5.

3) Slope of line YZ:

Y = (-1, 2)

Z = (-2, -2)

slope(YZ) = (-2 - 2) / (-2 - (-1))

= -4 / (-1)

= 4

So, the slope of line YZ is 4.

4) Slope of line WZ:

W = (-5, 1)

Z = (-2, -2)

slope(WZ) = (-2 - 1) / (-2 - (-5))

= -3 / 3

= -1

So, the slope of line WZ is -1.

Therefore, the slopes of the lines are:

WX = 2

XY = -1.5

YZ = 4

WZ = -1

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Answer:

6.67

66.7%

1.20

337.12

Step-by-step explanation:

95.25*(7/100)

42.12/63.18*100

20. 95*(5/100)

9632*(3.5/100)

Answer:

A 23a^2 + 6/12a^2

Step-by-step explanation:

2a+1/3a + 5/4 -2a-3/6a^2

=4(2a+1)+15a/12a - 2a-3/6a^2

=a(8a+4+15a^2)-{2(2a-3)}/12a^2

=8a^2+4a+15a^2-4a+6/12a^2

=23a^2+6/12a^2

Answer:

B

Step-by-step explanation:

An integer is a whole number (not including 0).  An integer's opposite can be found by adding a negative sign to the front of it.  A negative integer's opposite would be positive, while a positive integer's opposite would be negative.  

Answer:

the answer is 10 with a little 4 on the top right corner

Step-by-step explanation:

count your zeros

Answer:

The first one

Step-by-step explanation:

3x6=18

3.6x5=18

Answer:

The answer is $22.74

Step-by-step explanation:

Answer:

52.5

Step-by-step explanation:

7.50 x 7

Answer:

J = 7.5

Step-by-step explanation:

* This is going off of the estimate that the = sign means the equation is = to 0, as there is no value after the equal sign. *

First, start off by adding all of the like numbers.

11 + (-3) + 7 = 8 + 7 = 15

- 1/8 j - 3/8 j  = - 4/8 j.

Combining those two sums, we get:

15 - 4/8 j = 0

Subtract 15 from both sides,

-4/8 j = -15

Simplify -4/8 to -1/2, and then to -0.5

-0.5j = -15

Divide.

-15/-0.5 = 7.5

When you divide a negative number by another negative number, you get a positive. Therefore, the answer is J = 7.5

If the number after the = sign IS NOT 0, then when you get to 15 - 0.5j, just do the steps but with a number that isn't 0.

Answer:

y=-3/2x+4

Step-by-step explanation:

line is negative, going 3 over 2. y intercept is 4.