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agasfer [191]
3 years ago
15

A student has an average of 78 on seven chapter tests. If the student's scores on six of the tests are 76, 74, 76, 80, 83, and 9

1, what was the score on the remaining test? 80 66 78 79
Mathematics
1 answer:
zhenek [66]3 years ago
4 0

Answer:

The score is 66

Step-by-step explanation:

Say the unknown score is x

Average = Total score/no of occurrence

78 = (x + 76 + 74 + 76 + 80 + 83 + 91)/7

78 × 7 = x + 76 + 74 + 76 + 80 + 83 + 91

546 = x + 480

546 - 480 = x

66 = x

∴ x = 66

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Ismael has a set of 5 solar panels and Ben has a set of 6 smaller solar panels. Each set of panels produce the same amount of en
eimsori [14]

9514 1404 393

Answer:

  Ben's

Step-by-step explanation:

If E is the amount of energy that each full set of panels produces, then ...

  3 of Ismael's 5 panels produce 3/5E

  4 of Ben's 6 panels produce 4/6E

We can compare these fractions when they have a common denominator.

  3/5E = 18/30E . . . . energy from Ismael's panels

  4/6E = 20/30E . . .  energy from Ben's panels

  18/30 < 20/30 . . . . so Ben's panels are producing more energy

5 0
3 years ago
Triangle ABC is located at A(-4,5), B (-4, -1), and C(-1,1). A translation of the triangle is located at A’(-1, 7), B’(-1, 1), a
astraxan [27]
Triangle ABC is translated 3 units right and 2 units up
by looking at point A (-4,5) which is translated to A'(-1,7) 
we can tell by looking at the points that -4 is shifted by 3 units to the right ti reach -1 and 5 is shifted upwards by 2 units to reach 7
7 0
3 years ago
86,921 in expanded form
Rudik [331]
86921 = 80000 + 6000 + 900 +20 +1
3 0
3 years ago
Read 2 more answers
What is the simplified form of the following expression? 2√27+√12-3√3-2√12
LiRa [457]

Answer:

√3

Step-by-step explanation:

The given expression to be simplified is

2 \sqrt{27}+\sqrt{12}-3\sqrt{3}-2 \sqrt{12}

but

2 \sqrt{27}=2\sqrt{9 \times 3}=2 \times \sqrt{9}\times \sqrt{3}=2 \times 3 \times\sqrt{3}=6 \sqrt{3}

\sqrt{12}=\sqrt{4\times3}= \sqrt{4}\times \sqrt{3}=2\sqrt{3}

Since √12=2√3,this implies that,

2\sqrt{12}=2\times2\sqrt{3}=4 \sqrt{3}

Therefore,

2 \sqrt{27}+\sqrt{12}-3\sqrt{3}-2 \sqrt{12}=6\sqrt{3}+2\sqrt{3}-3 \sqrt{3} -4\sqrt{3}

=(6+2-3-4)\sqrt{3}

=\sqrt{3}

The simplified form of ,

2 \sqrt{27}+\sqrt{12}-3\sqrt{3}-2 \sqrt{12} is √3

8 0
3 years ago
What is the solution to the equation 9x - 1<br> = 80.<br> X = -9<br> X = 1<br> x = 81<br> x=9
IgorLugansk [536]
X= -9 because I looked it up
4 0
3 years ago
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