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bogdanovich [222]
4 years ago
12

Every morning, a deli offers a “commuter special” in which customers can select a pastry, beverage, and a copy of one of the loc

al papers and pay $1.00. Their options are listed in the table.
Last Tuesday, the deli did not have any muffins. How did that affect the number of possible combinations?
A. It decreased the number of combinations by 1.
B. It decreased the number of combinations by 4.
C. It decreased the number of combinations by 8.
D. It decreased the number of combinations by 10.

Mathematics
2 answers:
Ber [7]4 years ago
8 0

Answer: C

c. It decreased the number of combinations by 8.

mars1129 [50]4 years ago
3 0
To find the number of possible combinations, you multiple the possible number of outcomes for each category together. For example, there are 5 choices of pastries, 4 choices of drinks, and 2 newspaper choices, so normally there are 5 x 4 x 2=40 possible combinations. Without a muffin, these numbers would change to 4 x 4 x 2=32. The difference would be 8 possible options, so choice C.
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Choose the best definition for the following term: exponent
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Could someone Please give the answer to...<br><br> 112 greater than or equal to b+128
kotegsom [21]
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4 years ago
What is the y-intercept of the line that is perpendicular to the line 7x+2y=14 and passes
Alex_Xolod [135]

Considering the definition of perpendicular line,  the y-intercept of the line that is perpendicular to the line 7x+2y=14 and passes through the point (7,-6) is -8.

<h3>Linear equation</h3>

A linear equation o line can be expressed in the form y = mx + b

where

  • x and y are coordinates of a point.
  • m is the slope.
  • b is the ordinate to the origin and represents the coordinate of the point where the line crosses the y axis.

<h3>Perpendicular line</h3>

Perpendicular lines are lines that intersect at right angles or 90° angles. If you multiply the slopes of two perpendicular lines, you get –1.

<h3>Equation of perpendicular line in this case</h3>

In this case, the line is 7x+2y=14. Expressed in the form y = mx + b, you get:

2y= 14 - 7x

y= (-7x + 14)÷ 2

<u><em>y= -7/2x - 7</em></u>

If you multiply the slopes of two perpendicular lines, you get –1. In this case, the line has a slope of  -7/2. So:

-7/2× slope perpendicular line= -1

slope perpendicular line= (-1)÷ (-7/2)

<u><em>slope perpendicular line= 2/7</em></u>

So, the perpendicular line has a form of: y= 2/7x + b

The line passes through the point (7,-6). Replacing in the expression for perpendicular line:

-6= 2/7× (7) + b

-6= 2 + b

-6 -2 = b

<u><em>-8= b</em></u>, being b the y-intercept of the line.

Finally, the y-intercept of the line that is perpendicular to the line 7x+2y=14 and passes through the point (7,-6) is -8.

Learn more about perpendicular line:

brainly.com/question/7197064

brainly.com/question/11470863

brainly.com/question/7280013

#SPJ1

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The average train ticket for the journey, including cycle storage costs and food and drink, costs £134.26. A coach company claim
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Answer:

£78.97

Step-by-step explanation:

The average train ticket for the journey, including cycle storage costs and food and drink,<u> costs £134.26</u>. A coach company claims that it is <u>£55.29 </u><em><u>cheaper</u></em><u> than this</u>. How much does the coach trip cost?

Cheaper = -

So 134.26-55.29=78.97

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