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Novay_Z [31]
3 years ago
12

A store sells cooking oil of two different brands in bottles of the same size. The table below and the equation each show the pr

ice (y), in dollars, of different number of bottles of oil (x):
Brand A
Number of Bottles, x Price (dollars), y
2
24
3
36
4
48
5
60


Brand B
y = 15x

How many dollars more is the price of 9 bottles of brand B oil than the price of 9 bottles of brand A oil?
$3
$9
$18
$27
Mathematics
1 answer:
Alexxandr [17]3 years ago
7 0
Using the data, we can calculate the price per bottle for Brand A, which is:
24 / 2
= $12 per bottle

We also know that the slope of a line shows the rate of change, so the price per bottle for Brand B is $15. 

The difference per bottle is 15 - 12 = Brand B is cost $3 more per bottle
The difference for 9 bottles will be: 9 * 3 = $27.
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An example of a negative integer and it's opposite is:
negative integer: -10
opposite of the negative integer (the positive integer or additive inverse): 10

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Step-by-step explanation:

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If ΔEFG ~ ΔLMN with a ratio of 2:1, which of the following is true?
strojnjashka [21]

Answer:

  segment EF over segment LM equals segment FG over segment MN

Step-by-step explanation:

The triangles are similar, not congruent, so any answer choice with the word "congruent" can be ignored.

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  • EF corresponds to LM
  • EG corresponds to LN
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Corresponding segments have the same ratio, so ...

  EF/LM = FG/MN . . . . . . matches the first answer choice

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Read 2 more answers
While visiting Wallawulla State​ Park, Joe approximated the angle of elevation to the top of a mound to be 40 degrees . After wa
katen-ka-za [31]

Answer:

Height of mound = 794 ft

Step-by-step explanation:

To illustrate the angle of elevation and distance, i have drawn it and attached below.

Now, from my diagram;

h = the height of the mound

At his first point of his trip to the foot of the mound, the angle of elevation is 40°, while the horizontal distance to the foot of the mound is "X"

So, by triangle definition,

tan(40°) = h/x

And so;

h = x tan40

h = 0.8391x  - - - - (eq 1)

At his second point of the trip to the foot of the mound, Joe is now,

"(x - 450) ft" from the foot of the mound.

Thus, his angle of elevation is 40 + 18 = 58°.

So, by triangle definition,

tan(58°) = h/(x - 450)

h = (x - 450)•(tan(58°))

h = 1.6003(x - 450)

h = 1.6003x - 720.135   - - - - -(eq2)

To get the height(h) of the mound, let's equate (eq1) to (eq2).

0.8391x = 1.6003x - 720.135

1.6003x - 0.8391x = 720.135

0.7612x = 720.135

x = 720.135/0.7612

x = 946.0523 ft

Let's put this value for x in eq (1);

h = 0.8391 x 946.0523 = 793.83 ft ≈ 794ft

4 0
3 years ago
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