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rewona [7]
3 years ago
8

darnel’s retirement party cost $33, plus an additional $1 for each guest he invites. what is the maximum number of guests there

can be if darnel can afford to spend a total of $42 on his retirement party?
Mathematics
1 answer:
creativ13 [48]3 years ago
5 0

Answer:

20

Step-by-step explanation:

He's going to need a very sharp pencil to cross out the people he cannot afford to invite but would like to.

Equation

y = 33 + 1x

y = 42

42 = 33  + x

Solution

42 = 22 + x               Subtract 22 from both sides.

42 - 22 = 22 -22 + x    

20 = x

This means that if each extra person costs $1.00 then he can invite 20 more people (20 * 1 = 20)

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A ticket to a play costs $50. there is a 5% transaction fee. what is the total cost of the ticket
valentina_108 [34]

Answer:

$52.50

Step-by-step explanation:

To find the total cost, we need 105% of $50. Multiply;

$50 × 1.05 = $52.50

The total cost is $52.50

8 0
4 years ago
Read 2 more answers
An isosceles triangle with angles b and c having the same measure is shown. Find the measure of each angle whose degree measure
Anton [14]

Answer:

A = 114°, B = C = 33°

Step-by-step explanation:

The triangle relationships let you write two equations:

A+B+C = 180

B=C

Substituting the expressions for A, B, and C, you have ...

(x+7y+41) +(2y+13) +(6x+15) = 180

7x +9y +69 = 180

7x +9y = 111

And the second equation gives ...

(2y+13) = (6x+15)

6x -2y =-2

3x -y = -1

Now, we can add 9 times this second equation to the first to eliminate the y-variable.

(7x +9y) +9(3x -y) = (111) +9(-1)

34x = 102

x = 3

Then the angle measures are ..

B = C = 6·3+15 = 33

A = 180 -2·33 = 114

The angles in the triangle are (A, B, C) = (114°, 33°, 33°).

8 0
3 years ago
What is a property of an angle?
BigorU [14]
When to lines intersect they create four angles. Each angle is opposite to another and form a pair of what are called opposite angles. Angles a and c are opposite angles. Opposite angles are equal.
8 0
3 years ago
Simplify 8r+(-4r)+3 and then solve if r=5​
timama [110]

Simplify= 4r+3

Because 8r plus -4r which is 4r and then 3 can’t be simplified so u keep it the same

Then the answer if r=5 is 23

Because the equation looks like 4(5)+3

5 times 4 is 20 plus 3 is 23

7 0
3 years ago
Determine which postulate or theorem can be used to prove that
EleoNora [17]

Answer:

\triangle ABC \cong \triangle DCB by <u>AAS</u>

Step-by-step explanation:

According to the following two triangles, \triangle ABC and \triangle DCB are congruent by <u>Angle-Angle-Side</u> (AAS), because there are two angles shown and share a side, which is in the middle between triangles.

7 0
3 years ago
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