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Marat540 [252]
3 years ago
9

steve has quiz scores of 60,64,75,71. If all the quizzes count the same, what is the lowest grade he can make on the next quiz t

o have an average score of 70? how do i solve this problem
Mathematics
1 answer:
NeX [460]3 years ago
7 0

Answer:

The last quiz score must be at least an 80 to get the average to be a 70.

Step-by-step explanation:

In order to find this, you need to take the average of the 4 test scores along with the unknown test score (x). So, to find an average, we add all the numbers together and divide by the amount of tests taken. We can then set this equal to 70 since that is the minimum average.

(60 + 64 + 75 + 71 + x)/5 = 70 ------> Multiply both sides by 5

(60 + 64 + 75 + 71 + x) = 350 -----> Combine like terms

270 + x = 350 -----> Subtract 270 from both sides

x = 80

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Marrrta [24]

tis always a good idea when factoring to start off with a quick prime factoring.

\begin{array}{llll} 52&=&2\cdot 2\cdot 13\\\\ 77&=&\boxed{7}\cdot 11\\\\ 91&=&\boxed{7}\cdot 13\\\\ 124&=&2\cdot 2\cdot 31\\\\ 217&=&\boxed{7}\cdot 31 \end{array}

4 0
2 years ago
An evergreen nursery usually sells a certain shrub after 7 years of growth and shaping. The growth rate during those 7 years is
Ne4ueva [31]

Answer:

( 0.6 t^2 + 3t + 11 ) cm

Step-by-step explanation:

dh/dt = 1.2t + 3

at t = 0, h = 11 cm

(a)

dh / dt = 1.2 t + 3

dh = (1.2 t + 3) dt

integrate on both sides

h = 0.6 t^2 + 3t + c    .... (1)

where c is the integrating constant

put t = 0

11 = c

Put in equation (1) , we get

h = ( 0.6 t^2 + 3t + 11 ) cm

Thus, teh height of tree after t years is given by

( 0.6 t^2 + 3t + 11 ) cm.

3 0
3 years ago
What is the value of x?<br><br><br><br> Enter your answer in the box.<br><br> x =
son4ous [18]

one angle is 3x-3

another angle is 6(x-10)

Both angles are vertically opposite angles

Vertically opposite angles are always equal

So we equation both the angles and solve for x

3x - 3= 6(x-10)

3x - 3 = 6x - 60

Subtract 6x from both sides

-3x - 3 = -60

Add 3 on both sides

-3x = -57

Divide by 3

x = 19

The value of x= 19


3 0
3 years ago
I need to know how to find the mean for 77,82,87,85,32,78?
lys-0071 [83]

Answer:

73.5

Step-by-step explanation:

To find the mean, sum the data and divide by the amount of data

mean = \frac{77+82+87+85+32+78}{6}

          = \frac{441}{6} = 73.5

6 0
3 years ago
Read 2 more answers
Kit bought a soft drink and a sandwich for 9.00 what was the price of each ifnthe sandwich cost 3.5 times as much as the soft dr
Annette [7]

Answer:

Sandwich = 6.75

Soft drink = 2.25

Step-by-step explanation:

9.00/4 = 2.25

2.25*3=6.75


8 0
3 years ago
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