Emilio paid $287.50 in taxes to the school district that he lives in this year. This year’s taxes were a 15% increase from last year. What did Emilio pay in school taxes last year? PLEASE HELP

Answers

Answer 1
Answer: Let the Taxes she paid last year be 'x'
So percentage increase = 15% of x
= 15x/100

So,
this year's taxes = Last year's taxes + increment
287.50 = x + 15x/100
287.5 = 115x/100
x = 250

So, she paid $250 as taxes last year.

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angle y and angle x form vertical angles. Angle y forms a straight line with the 80 degree angle and the 60 degree angle. Write and solve an equation to determine the measure of angle x

Answers

If angle y and angle x form vertical angles, then they ARE vertical angles.  Vertical angles have the SAME degree measure.  If angle y forms a straight line with the 80 degree angle and the 60 degree angle, this means that adding angle y, the 80 degree angle, and the 60 degree angle gives you a straight line.  A line is 180 degrees.  So, angle y's measure=180-(80+60).  Since measure of angle x equals measure of angle y, the equation is m<x=180-(80+60).

Let's solve.  m<x=180-(80+60).  m<x=180-140.  m<x=40 degrees.

Answer: m<x=180-(80+60); m<x=40 (degrees)

A punch recipe calls for 1/2 gallon of fruit juice 1 quart of ginger ale and one pint of lemonade. How many cups of punch will this make?

Answers

1/2 gallon =2 quarts, so add the 2 quarts and the 1 quart of ginger ale, plus the one pint of lemonade and this makes 14 cups of punch
1/2 gallon = 8 cups.
1 quart = 4 cups
1 pint = 2 cups

8+4+2 = 14 cups of punch.

Solve for y:-

78 + y = 523

y = ?

Thank you so much! :)

Answers

78 + y = 523

Now, first lets start out by applying the inverse operation to isolate the variable.

78 + y = 523
-78         -78           ⇒  Inverse operation

523 - 78 = 445      

y = 445                   ⇒ We have our value for y

CHECK OUR WORK:-

78 + 445 = 523
523 = 523

Our answer is correct. 
To solve for y we need to use d INVERSE OPERATION of addition which is subtraction. Then we will check our work:-
 
Lets do it:-
 
78 + y = 523
523 - 78 = 445
y = 445
 
CHECK OUR WORK:-
 
78 + y = 523
y = 445
78 + 445 = 523
We were RIGHT!!
 
So, y = 445
 
Hope I helped ya!! xD

Scott makes a scale drawing of a rectangular park. He uses the scale 5 centimeters: 3 meters. The length of his drawing is 20 centimeters and the width is 15 centimeters. What is the area of the park

Answers

Answer:

The area of the park is 108\ m^(2)

Step-by-step explanation:

we know that

The scale drawing is (5)/(3)(cm)/(m)

step 1

Find the actual length of the rectangular park

Divide the length in the drawing by the scale drawing

20/(5/3)=12\ m

step 2

Find the actual width of the rectangular park

Divide the width in the drawing by the scale drawing

15/(5/3)=9\ m

step 3

Find the area of the park

A=(12)(9)=108\ m^(2)

on each of 3 days, Derrick rode 6.45 mules to school,15 meters to the library, and then 500 meters back home.how many kilometers did her ride for the 3 days altogetger?

Answers

if 6.45 is supposed to be miles
6.45 miles = 10380.269 metres
10380.269+15+500=10,895.269
but that is only if the 6.45 is in miles

. If Owen buys a trampoline for $350.60, and is charged 7% sales tax, how much sales tax does he pay?

Answers

$24.54 I hope this is the right answer