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nadezda [96]
3 years ago
14

Chrystelle has ham, turkey, and roast beef to use to make sandwiches. She also has apple juice and orange juice to drink. 1) If

Chrystelle only uses one kind of meat on a sandwich, how many possible combinations of sandwich and juice could she have for lunch? 2) What are the possible combinations?
Mathematics
1 answer:
Snezhnost [94]3 years ago
8 0
Turkey and apple juice
Turkey and orange juice
Ham and apple juice
Ham and orange juice
Roast beef and apple juice
Roast beef and orange juice

6 combinations
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Kevin will take 4 math tests this term. All of the tests are worth the same number of points. After taking the first 3 tests, hi
Makovka662 [10]

Answer:

Kevin needs 96 points on his last test to raise his mean test score to 90 points.

Step-by-step explanation:

we know that

The mean score is the total of all scores divided by the total number of tests.

Let

x_1 ----> the score in the first math test

x_2 ----> the score in the second math test

x_3 ----> the score in the third math test

x_4 ----> the score in the fourth math test

we have

After taking the first 3 tests, his mean test score is 88 points

so

\frac{x_1+x_2+x_3}{3} =88

x_1+x_2+x_3=264 ----> equation A

How many points does he need on his last test to raise his mean test score to 90 points?

so

\frac{x_1+x_2+x_3+x_4}{4} =90

x_1+x_2+x_3+x_4=360 ----> equation B

substitute equation A in equation B

264 + x_4 = 360

solve for x_4

x_4 = 360-264

x_4 = 96

Therefore

Kevin needs 96 points on his last test to raise his mean test score to 90 points.

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3 years ago
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In the rectangle below, E1=2x -2, FH=3x+6, and m 4IHG =35°.Find Gl and m LIEH
Tpy6a [65]

Recall that the diagonals of a rectangle bisect each other and are congruent, therefore:

\begin{gathered} FH=2EI, \\ GI=EI. \end{gathered}

Substituting the given expression for each segment in the first equation, we get:

3x+6=2(2x-2).

Solving the above equation for x, we get:

\begin{gathered} 3x+6=4x-4, \\ 3x+6+4=4x, \\ 3x+10=4x, \\ 4x-3x=10, \\ x=10. \end{gathered}

Substituting x=10 in the equation for segment EI, we get:

EI=2*10-2=20-2=18.

Therefore:

GI=18.

Now, to determine the measure of angle IEH, we notice that:

\Delta HFG\cong\Delta GEH,

therefore,

\measuredangle GHF\cong\measuredangle HGE.

Using the facts that the triangles are right triangles and that the interior angles of a triangle add up to 180° we get:

m\measuredangle IEH=90^{\circ}-35^{\circ}=55^{\circ}.

<h2>Answer: </h2>\begin{gathered} m\operatorname{\measuredangle}IEH=55^{\operatorname{\circ}}, \\ GI=18. \\  \end{gathered}

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X=2

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