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malfutka [58]
2 years ago
8

At a candy store, Erika bought 3 kilograms of cinnamon red hots and 1 kilogram of gummy bears for $21.00. Meanwhile, Irene bough

t 3 kilograms of cinnamon red hots and 3 kilograms of gummy bears for $39.00. What is the cost of one kilogram of each type of candy?
Mathematics
1 answer:
Paul [167]2 years ago
5 0
Every kilogram of cinnamon red hot costs $4

and every kilogram of qummy bears costs $9




good luck
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Help me please. I am having troubles with my math homework.
jeyben [28]

Answer: (3) f(8) = g(8)

<u>Step-by-step explanation:</u>

Let's compare the values of f(x) and g(x) when x = 0, 2, 8, and 4

<u>      f(x)       </u>                      <u>      g(x)        </u>            <u>Comparison</u>

f(x) = 2x - 3                     g(x)=\dfrac{3}{2}x+1

f(0) = 2(0) - 3                     g(0)=\dfrac{3}{2}(0)+1

      = -3                                   = 1                     f(0) < g(0)

f(2) = 2(2) - 3                     g(2)=\dfrac{3}{2}(2)+1

     = 1                                      = 4                     f(2) < g(2)

f(8) = 2(8) - 3                     g(8)=\dfrac{3}{2}(8)+1

     = 13                                   = 13                     f(8) = g(8)

f(4) = 2(4) - 3                     g(4)=\dfrac{3}{2}(4)+1

      = 5                                   = 7                       f(4) < g(4)


The only statement provided that is true is f(8) = g(8)




3 0
3 years ago
Which of the following expressions correctly uses the properties of summations to represent
madam [21]

Answer:

Option C is correct.

7 \cdot \sum_{i=1}^{18} i^2 + 9 \cdot 18

Step-by-step explanation:

Given the expression:  \sum_{i=1}^{18} (7i^2+9)

Using properties of summation:

  • \sum_{i=1}^{n} (a+bi) =\sum_{i=1}^{n} a + \sum_{i=1}^{n} bi
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Using properties of summation in the given expression we have;

\sum_{i=1}^{18} (7i^2+9)

= \sum_{i=1}^{18} 7i^2 + \sum_{i=1}^{18} 9

=7 \cdot \sum_{i=1}^{18} i^2 + 9 \cdot 18

Therefore, the following given expression uses the properties of summation to represents is, 7 \cdot \sum_{i=1}^{18} i^2 + 9 \cdot 18


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