Determined the quadrant for an angle with the following characteristics: cotθ>0 and cscθ>0.

A high school has a total of 850 students. there are 60 more female students than there are make students?

Mrac [35]

Hey. Let me help you on this one.

Let's break this problem down so it's easier for us to comprehend it.

There are 850 students in the school, and the amount of female students equals to the amount of male students + sixty additional females.

Amount of students in school = 850 students

Male students = $X$

Female students = $X+60$

Let's form an equation so we can work with what we have.

$X+(X+60)=850$

Subtract 60 from both sides.

$X+X=790$

Simplify

$2X=790$

Divide both sides by 2.

$X=395$

Answer: There are 395 male students, and 455 female students.

3 0

2 years ago

Jessica works between 12h and 18h per week at her part-time job. She earns $9.25 per hour. The function p(h) = 9.25h models the

Tpy6a [65]

D. All real numbers between 111 and 166.5 inclusive.

3 0

2 years ago

Equations and inequalities!<br> solve for w <br> 11=253-w

Annette [7]

Answer:

w = 242

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

$11=-w + 253$
$-w + 253 = 11$

Step 2: Subtract 253 from both sides.

$-w + 253 - 253 = 11 - 253$
$-w = -242$

Step 3: Divide both sides by -1.

$\frac{-w}{-1}=\frac{-242}{-1}$
$w = 242$

Step 4: Check if solution is correct.

$11 = 253 - (242)$
$11 = 253 - 242$
$11 = 11$

Therefore, w = 242.

Have a lovely rest of your day/night.

8 0

1 year ago

Ross needs to have a procedure done, and since he is over 65 he is on Medicare. Medicare says that according to their plan the a

Anni [7]

Answer:

$\large \boxed{\$1200.00}$

Step-by-step explanation:

Let the office charge = x

Amount paid by Medicare = ⅞x

Amount paid by Ross = ¼(⅞x) = $262.50

Solve for x

$\begin{array}{rcrl}\dfrac{1}{4} \left(\dfrac{7}{8}x \right ) & = & \$262.50 & \\\dfrac{7}{32}x & = & \$262.50 & \text{Multiplied the fractions}\\\\7x & = & \$8400.00 & \text{Multiplied each side by 32}\\x & = & \mathbf{\$1200.00} & \text{Divided each side by 7}\\\end{array}\\\text{The office wanted to charge } \large \boxed{\mathbf{\$1200.00}}$

Check:

$\begin{array}{rcl}\dfrac{1}{4} \left(\dfrac{7}{8}\times \$1200.00 \right ) & = & \$262.50\\\\\dfrac{1}{4} \left(\$1050.00 \right ) & = & \$262.50\\\\\$262.50 & = & \$262.50\\\end{array}$

OK.

7 0

2 years ago

A taxi company charges $2.25 per ride plus $0.30 per mile. Enter a linear model represents the cost, C, as a function of d, the

Anna007 [38]

Answer:

C(d) = d(2.25) + m(0.3)

Step-by-step explanation:

A taxi company charges $2.25 per ride plus $0.30 per mile.

Let d represent number of rides..

Let m represent number of Miles...

Then let C represent the total cost for each ride at a specific number of Miles.

The linear model representing the cost as a function of d the total ride

C(d) = d(2.25) + m(0.3)

The values stand independently because the customer can choose a different right and a different mile.

7 0

2 years ago