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Art [367]
3 years ago
13

The corporate team-building event will cost $84 if it has 12 attendees. How many attendees can there be, at most, if the budget

for the corporate team-building event is $98? Solve using unit rates.
Mathematics
1 answer:
melisa1 [442]3 years ago
7 0

14 attendees

Step-by-step explanation:

12 attendees : $ 84

     x   : $ 98

Cross-multiply;

84 x = 98 * 12

x = 14

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Which inequality is shown in this graph
Katena32 [7]

ANSWER

y \leqslant   - 2x - 2

EXPLANATION

The boundary line passes through (-2,2) and (0,-2).

The slope of this line is

m =  \frac{ - 2 - 2}{0 -  - 2}

m =  \frac{ - 4}{2}  =  - 2

The y-intercept is , c=-2.

The slope-intercept form of this line is given by;

y = mx + c

We substitute values to obtain;

y =  - 2x - 2

Since the lower half-plane is shaded the required inequality is

y \leqslant   - 2x - 2

7 0
3 years ago
Solving multi step equations 5/6k + 2/3 = 4/3
Tpy6a [65]

Answer:

k = 4/5

Step-by-step explanation:

First, rewrite 5/6k as (5/6)k; this is "five sixths of the variable k."

Next, identify the LCD.  It is 6.  Then the given equation becomes

5k + 4 = 8

Consolidate the constant terms:  

5k = 4

Solve for k: k = 4/5

5 0
3 years ago
2x + 3 = -x + 12 <br><br> Solve the equation, explanation is good.
raketka [301]

Answer:

3

Step-by-step explanation:

2x + 3 = -x + 12

subtract 3 from both sides

2x = - x + 9

add x to both sides

3x = 9

divide by 3

x = 3

7 0
3 years ago
Find an equation of the circle whose diameter has endpoints (1,-4) and (-3,6).
MAVERICK [17]

Answer:

(x+1)^2+(y-1)^2=58

Step-by-step explanation:

To find the equation of this circle, we must know the center and the radius.

We can find the radius by dividing the value of the distance formula by 2 (since r=\frac{d}{2}):

d=\sqrt{(-3-1)^2+(6-(-4))^2}=\sqrt{116}\\r=d/2=\frac{\sqrt{116}}{2}

We can then find the center of the circle by averaging the coordinates:

\frac{1+(-3)}{2}=-1

\frac{-4+6}{2}=1

Then, we substitute these values into the equation of a circle:

(x-(-1))^2+(y-1)^2=(\frac{\sqrt{116}}{2})^2\\(x+1)^2+(y-1)^2=58

3 0
3 years ago
60 POINTSZZZ HELLPP!!
stich3 [128]
15 inches long add 7+5 to get the full total of miles
5 0
3 years ago
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