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Natasha2012 [34]
3 years ago
13

A radio station advertises a contest with ten cash prizes totaling $5510. There is to be a $100 difference between each successi

ve prize. Find the amounts of the least and greatest prizes the radio station will award.
Mathematics
1 answer:
gavmur [86]3 years ago
4 0
5510 = x + (x + 100) + (x + 200) + (x + 300) + (x + 400) + (x + 500) + (x + 600) + (x +700) + (x + 800) + (x + 900) = 10x + 4500

=> 10x = 5510 - 4500 = 1010

=> x = 1010 / 10 = 101

=> least prize = 101 and greatest prize = 101+ 900 = 1001.<----- answer




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A restaurant offers three sizes of coffee and four differerſt types of coffee.
Kruka [31]
<h3>Answer:  864</h3>

=======================================================

Work Shown:

There are,

  • 3 sizes of coffee
  • 4 types of coffee
  • 2 choices for cream (you pick it or you leave it out)
  • 2 choices for sugar (same idea as the cream)

This means there are 3*4*2*2 = 12*4 = 48 different coffees. We'll use this value later, so let A = 48.

There are 6 bagel options. Also, there are 3 choices in terms of if you order the bagel plain, with butter, or with cream cheese. This leads to 6*3 = 18 different ways to order a bagel. Let B = 18.

Multiply the values of A and B to get the final answer

A*B = 48*18 = 864

There are 864 ways to order a coffee and bagel at this restaurant.

--------------

If you're curious why you multiply the values out, consider this smaller example.

Let's say you had 3 choices of coffee and 2 choices for a bagel. Form a table with 3 rows and 2 columns. Place the different coffee choices along the left to form each row. Along the top, we'll have the two different bagel choices (one for each column).

This 3 by 2 table leads to 3*2 = 6 individual table cells inside. Each cell in the table represents a coffee+bagel combo. This idea is applied to the section above, but we have a lot more options.

3 0
3 years ago
Plz help it was due last week :((((
vesna_86 [32]
Formula= (y2-y1)/ (x2-x1)

(-5 - -1) / (-2 - -4)
(-4) / (2) = -2
q8 is C

(-3 - -3) / (8 - 4)
(0) / (4) = 0
q12 is D
4 0
3 years ago
A company uses 3 trucks to deliver a total of T liters of cement. Each truck can transport x liters of cement per trip, and make
FromTheMoon [43]

Answer:

3x-x+2=4

Step-by-step explanation:

4 0
3 years ago
In triangle abc, the angle c is six times as large as angle
mote1985 [20]
The interior angles of a triangle add up to 180 degrees

a = 1st angle, b = 2nd angle, c = 3rd angle

c = 6a
b = a + 60
a + b + c = 180

a + (a + 60) + (6a) = 180
8a + 60 = 180
8a = 180 - 60
8a = 120
a = 120/8
a = 15 <=== here is one angle

b = a + 60
b = 15 + 60
b = 75 <=== and another one

c = 6a
c = 6(15)
c = 90 <=== and the last angle

3 0
3 years ago
For the following right triangle, find the side length. Round your answer to the nearest hundredth
IRINA_888 [86]

Answer:9.75

Step-by-step explanation:12x12 =144 and 7x7= 49 subtract 144-49 and get 95 the square root of 95 is approximately 9.747 rounded to the nearest hundredths place is 9.75

4 0
3 years ago
Read 2 more answers
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