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SVEN [57.7K]
3 years ago
13

For his daughter quinceanera Gerardo is considered using one of the two venues a hotel in a city will cost $16,000 for a reserva

tion plus $25 per person a restaurant. In the same city will cost $30 per person in addition to $1000 reservation in order to make the best decision Gerardo figures out how many attendees it will take to have the venues cost the same amount how many attendees would that be? what would the total cost be?​
Mathematics
1 answer:
Marysya12 [62]3 years ago
7 0

Answer:

3,000 attendees

Total cost = 91,000

Step-by-step explanation:

3,000 x 25 = 75,000                              3,000 x 30 = 90,000

75,000 + 16,000 = 91,000                     90,000 + 1,000 = 91,000

91,000                                                     91,000

I hope this helped :)

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if Mr hansons motorcycle drives 432 miles on 6 gallons of gas how much gas will he need to drive 738​
lozanna [386]

Answer:

10.25 gallons

Step-by-step explanation:

432 miles / 6 gallons=72 miles to gallon

738 miles / 72 miles per gallon=10.25 gallons

6 0
3 years ago
given that sin theta= 1/4, 0 is less than theta but less than pi/2, what is the exact value of cos theta
lapo4ka [179]

Answer:

\cos{\theta} = \frac{\sqrt{15}}{4}

Step-by-step explanation:

For any angle \theta, we have that:

(\sin{\theta})^{2} + (\cos{\theta})^{2} = 1

Quadrant:

0 \leq \theta \leq \frac{\pi}{2} means that \theta is in the first quadrant. This means that both the sine and the cosine have positive values.

Find the cosine:

(\sin{\theta})^{2} + (\cos{\theta})^{2} = 1

(\frac{1}{4})^{2} + (\cos{\theta})^{2} = 1

\frac{1}{16} + (\cos{\theta})^{2} = 1

(\cos{\theta})^{2} = 1 - \frac{1}{16}

(\cos{\theta})^{2} = \frac{16-1}{16}

(\cos{\theta})^{2} = \frac{15}{16}

\cos{\theta} = \pm \sqrt{\frac{15}{16}}

Since the angle is in the first quadrant, the cosine is positive.

\cos{\theta} = \frac{\sqrt{15}}{4}

3 0
3 years ago
Find the distance and midpoint for the following coordinates.<br> P(7.6 , 10.1) and Q(4.6 , 3.1)
KATRIN_1 [288]
Solving for the midpoint:

x - coordinate: (7.6 + 4.6)/2 = 6.1
y - coordinate: (10.1 + 3.1)/2 = 6.6

Midpoint: (6.1 , 6.6)

Solving for the distance:

Distance formula: sqrt( (x2 - x1)^2 + (y2 - y1)^2 )

D = sqrt( (7.6 - 4.6)^2 + (10.1 - 3.1)^2 <span>)
D = sqrt( 3^2 + 7^2)
D = sqrt(58)
D = 7.62 units

Distance = 7.62 units</span>
8 0
3 years ago
Solve for x. x + 3 = 10
ICE Princess25 [194]

Answer:x=7

Step-by-step explanation:

X+3=10

-3 -3

X=7

5 0
4 years ago
Read 2 more answers
Please help me!!!!!!! It's very important!!!!
antiseptic1488 [7]
A = pi r^2
a = 3.14 * 97^2
a = 29,544.26 mm^2
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3 years ago
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