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Llana [10]
3 years ago
8

A line on a graph shows a proportional relationship between the amount of almonds, x, in grams and the total calories y. Two poi

nts on the graph are located at (50, 287.5) and (70, 402.5) .
What is the unit rate for the number of calories per gram of almonds?

A. 1.64 calories per gram
B. 2.3 calories per gram
C. 5.75 calories per gram
D. 17.25 calories per gram
Mathematics
1 answer:
Klio2033 [76]3 years ago
3 0
287.5 / 50 = 5.75 calories per gram
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Jenna's profit for selling 38 felt ornaments is $104.50. Suppose Jenna keeps track of the number of sales (x) and profit
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Which expression is equivalent to 15 (n+3/n) ?<br> £ <br> N=10
Alika [10]

Answer:

\sum_{n=10}^{15}(n+\frac{3}{n})=\sum_{n=10}^{15} n + \sum_{n=10}^{15} \frac{3}{n}

Step-by-step explanation:

Given expression : \sum_{n=10}^{15}(n+\frac{3}{n})

Solving further:

\sum_{n=10}^{15}(n+\frac{3}{n})

\Rightarrow \sum_{n=10}^{15} n + \sum_{n=10}^{15} \frac{3}{n}

So,\sum_{n=10}^{15}(n+\frac{3}{n})=\sum_{n=10}^{15} n + \sum_{n=10}^{15} \frac{3}{n}

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Hence the given expression is equivalent to Option A

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Which inequality is true when x=7?​
a_sh-v [17]

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7 0
4 years ago
When Judy worked 4 hours and Ben worked 1 hour, their combined pay was $75. When Judy worked 2 hours and Ben worked 6 hours, the
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Answer:

$15

Step-by-step explanation:

let the hourly rate of pay for Ben  = B

let the hourly rate of pay for Judy  = J

Judy worked 4 hours and Ben worked 1 hour, their combined pay was $75;

              4J + B = 75 ----- i

Judy worked 2 hours and Ben worked 6 hours, their combined pay was $120

               2J + 6B  = 120 --- ii

Now, we should solve the expression;

   Multiply equation ii by 2 and equation i by 1;

 

            4J + B = 75 ----- i    x 1  ;    4J + B  = 75          -- iii

            2J + 6B  = 120 --- ii  x 2 ;   4J + 12B  = 240    ---iv

Now,

 equation iv - iii;

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                      B  = $15

So, solving for J;

          4J + B = 75

         4J + 15  = 75

          4J  = 75 - 15  = 60

          J  = $15

3 0
3 years ago
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