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Svetllana [295]
3 years ago
9

Sarah has grades of 98 and 98 on her first two tests. If she wants an average of at least 80 after her third test, what score mu

st she make on that test
Mathematics
1 answer:
Harlamova29_29 [7]3 years ago
3 0
Total for first two test = 98 + 98 = 196

Total needed for 3 test = 80 x 3 = 240

Score needed for 3rd test = 240 - 196 = 44

Answer: 44
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Jane’s cell phone plan is $58 each month plus $0.20 per minute for each minute over 200 minutes of call time. Jane’s cell phone
Lyrx [107]

Answer:

m = (67$ - 58$)/0.20$

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6 0
2 years ago
Write 8.12 as a mixed number in simplest form.<br> (It’s a repeating decimals
kicyunya [14]

Answer:

8 3/25 because 8.12 is 8 12/100 and when you simplify 12/100 you get 3/25

8 0
3 years ago
Find the solution to the initial value problem
Karo-lina-s [1.5K]

Answer:

y = (11x + 13)e^(-4x-4)

Step-by-step explanation:

Given y'' + 8y' + 16 = 0

The auxiliary equation to the differential equation is:

m² + 8m + 16 = 0

Factorizing this, we have

(m + 4)² = 0

m = -4 twice

The complimentary solution is

y_c = (C1 + C2x)e^(-4x)

Using the initial conditions

y(-1) = 2

2 = (C1 -C2) e^4

C1 - C2 = 2e^(-4).................................(1)

y'(-1) = 3

y'_c = -4(C1 + C2x)e^(-4x) + C2e^(-4x)

3 = -4(C1 - C2)e^4 + C2e^4

-4C1 + 5C2 = 3e^(-4)..............................(2)

Solving (1) and (2) simultaneously, we have

From (1)

C1 = 2e^(-4) + C2

Using this in (2)

-4[2e^(-4) + C2] + 5C2 = 3e^(-4)

C2 = 11e^(-4)

C1 = 2e^(-4) + 11e^(-4)

= 13e^(-4)

The general solution is now

y = [13e^(-4) + 11xe^(-4)]e^(-4x)

= (11x + 13)e^(-4x-4)

3 0
3 years ago
A set of data with 100 observations has a mean of 267. There are six outliers in the data set, which have a mean of 688. If the
Mnenie [13.5K]
X*94 +688*6  = 267*100
94x+4128=26700     
94X=22572    /94
X=240.128
C is the closest answer
3 0
3 years ago
Read 2 more answers
A machine can make 56 parts in 4 hours.It can also make 70 parts in 5 hours. Write an equation that relates the number of parts
ira [324]

Answer:

126 parts in 9 and a half hours

Step-by-step explanation:

56 parts in 4 hours

that means 56 parts in 240 mins

9 hours and 30 minutes in minutes is 570 minutes

56m parts:240 mins

                 540 mins

to get to 540 from 240, you multiply by 2.25.

you can work this out by doing 540 divided by 240

now, multiply 56 by 2.25.

the answer is 126 parts

5 0
3 years ago
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