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larisa86 [58]
3 years ago
5

The school spirit club spent $320.82 on food and took in $643.59 selling the food How much did the club make

Mathematics
2 answers:
AVprozaik [17]3 years ago
6 0
Well, you subtract 320.82 from 643.59 and you get 322.77
They made $322.77
Lorico [155]3 years ago
5 0
The school spirit club earned $322.77

I hope this helped!
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Based on the information given say whether or not △ABC∼△FED. Explain your reasoning.
GalinKa [24]

Answer:

Yes, △ABC ∼ △FED by AA postulate.

Step-by-step explanation:

Given:

Two triangles ABC and FED.

m∠A = m∠B

m∠C = m∠A + 30°

m∠E = m∠F = x

m∠D = 2x-20°.

Now, let m∠A = m∠B = y

So, m∠C = m∠A + 30° = y+30

Now, sum of all interior angles of a triangle is 180°. Therefore,

m∠A + m∠B +  m∠C = 180

y+y+y+30=180\\3y=180-30\\3y=150\\y=\frac{150}{3}=50

Therefore, m∠A = 50°, m∠B = 50° and m∠C =  m∠A + 30° = 50 + 30 = 80°.

Now, consider triangle FED,

m∠D+ m∠E + m∠F = 180

2x-20+x+x=180\\4x=180+20\\4x=200\\x=\frac{200}{4}=50

Therefore,  m∠F = 50°  

m∠E = 50° and  

m∠D =  2x-20=2(50)-20=100-20=80\°

So, both the triangles have congruent corresponding angle measures.

m∠A = m∠F = 50°

m∠B = m∠E = 50°

m∠C = m∠D = 80°

Therefore, the two triangles are similar by AA postulate.

5 0
3 years ago
Find each function value<br><br>1. f(7) if (x)=5x<br><br>2. f(4) if f(x)=3x-1
Inessa [10]

<u>ANSWER</u>

1. \:  \: f(7) = 35

2. \: f(4) = 11

<u>EXPLANATION</u>

To find the value of a function, f(x) at a given value x=a, we plug in x=a into f(x) to obtain f(a) in simplified form.

The first function is

f(x) = 5x

To find f(7), we substitute x=7, into the function.

\implies f(7) =5(7) =  5 \times 7 = 35

The second function is

f(x) = 3x - 1

To find f(4), we replace x with 4 to obtain,

f(4) = 3(4) - 1

f(4) = 12 - 1 = 11

6 0
3 years ago
a marina rents party boats for large social gatherings. They charge the following amounts for a 2 hour rental. 10 people for $16
Verdich [7]

Answer:

An equation that represents the data would be y=2.75x+137.50. The y-intercept of the graph is 137.50, which represents the base cost of a boat rental.  The slope of the graph is 2.75, which represents the rate, or cost per person.  If we use this equation to solve for the cost of boat rental for 75 people, we would get a total of $343.75.  A reason the marina might charge more for 75 people could be the need for a second boat and/or additional workers to handle the additional guests.  

Step-by-step explanation:

The problem gives you four sets of ordered pairs: (10, 165); (20, 192.50); (35, 233.75) and (50, 275).  Using these ordered pairs, you can either make a table, or use slope formula with two points to determine the rate of change.  For example, (192.50-165)/(20-10)= 2.75, which represents the slope or cost per person.  To find the y-intercept, or base cost to rent the boat, subtract the cost for 10 people ($27.50) from the $165 rental charge to get $137.50.  In order to find the cost for 75 people, you would plug in 75 for the variable 'x' and solve for 'y', which gives us $343.75.  Since the actual cost is different, we have to assume that there are additional fees associated with a certain number of people.  

8 0
3 years ago
If a meatball recipe calls for 10 pounds of ground beef is 5 kilograms of ground beef enough to make the meatballs
rodikova [14]

Answer:  Yes. 5 kilograms is  a little more than enough.

Step-by-step explanation:

Use the conversion factor.  1 kilogram = 2.20462 pounds

We can round that to 2.2 for a question like this.

5 × 2.2 = 11 pounds

8 0
2 years ago
On the grid, sketch a graph to represent
Greeley [361]

Answer:

Please find attached, the required graph created on MS Excel

Step-by-step explanation:

The distance between Sandy's house and the school = 200 m

The number of minutes Sandy talked to her friend for = 10 minutes

The time it took Sandy to return home to pick her homework = 5 minutes

Let <em>x </em>represent Sandy's location she stops to talk to her friend 10 minutes, we have;

The slope of the motion on the graph, m₁ = (x - 0)/(t - 0)

The slope of her motion running home to pick the up her homework, m₂ = (x - 0)/(5 - 0)

Given that t > 5, the slope on trip back home, m₁, is larger than are her initial slope, m₂

Therefore, where x = 125, we have;

The rate at which she returned home = m₂ = (125 m - 0)/(5 min - 0) = 25 m/min

Given that the same rate m₂ is what she used in heading back to school, we have;

The time it takes her to get to school = 200 m/(25 m/min) = 8 minutes

Therefore, whereby it took her 10 minutes to reach point <em>x</em>, we have the following coordinate points on the graph in a tabular form;

\begin{array}{ccc} Time \ (minutes) \ x-axis&&Distance  \ (meters) \ y-axis\\0&&0\\10&&25\\15&&0\\23&&200\end{array}

The plot of the above point is completed using MS Excel as shown in the attached diagram.

7 0
2 years ago
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