The average of Aaron's three test scores must be at least 93 to earn an A in the class. Aaron scored 89 on the first
test and 94 on the second test. What scores can Aaron get on his third test to guarantee an A in the class? (The
highest possible score is 100.)
15
Write an inequality that models this situation. Use the variable s to represent his score on his third test.

Answers

Answer 1

Answer:

Aaron must obtain a 96 or higher to achieve the desired score to earn an A in the class.

Step-by-step explanation:

Given that the average of Aaron's three test scores must be at least 93 to earn an A in the class, and Aaron scored 89 on the first test and 94 on the second test, to determine what scores can Aaron get on his third test to guarantee an A in the class, knowing that the highest possible score is 100, the following inequality must be written:

93 x 3 = 279

89 + 94 + S = 279

S = 279 - 89 - 94

S = 96

Thus, at a minimum, Aaron must obtain a 96 to achieve the desired score to earn an A in the class.

Answer 2

Aaron must score atleast 90 marks in third test.

Aaron scores in the first  test = 89

Aaron scores in the second test = 94

And the average of Aaron's three test scores must be at least 93 to earn an A.

Let Aaron scores in the third  test = s

Then,

Average = sum of terms divided by the number of terms.

[tex]\frac{89+94+s}{3} \leq 93\\89+94+s\leq 93\times3\\183+s\leq 279\\s\leq 279-189\\s\leq 90[/tex]

So, Aaron must score atleast 90 marks in third test.

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Related Questions

A car travels 6 mile in 2 hours what is the unit rate
A 3 miles/ hour
B 1 mile/3 hour
C 3 /1 mile
D6 miles/ 1 hour

Answers

Answer:

A

Step-by-step explanation:

This is a fraction equal to

6 miles ÷ 2 hours

We want a unit rate where

1 is in the denominator,

so we divide top and bottom by 2

6 miles ÷ 2 2 hours ÷ 2= 3 miles1 hour= 3 miles hour = 3 miles per hour

Giving out the brainlest answer !!! help plsss ASAP !!!!!!!

Answers

Answer:

5

Step-by-step explanation:

As given  

  1/sqrt2=x/5sqrt2

5sqrt2/sqrt2=x                Both sqrt will get cancelled

5=x



What is the sixth term in the geometric sequence shown above?
A. 32
B. 24
C. -24
D. -32

Answers

So looking at the pattern you can tell that it is going by (-2)^(n-1)

if n=6 then we have (-2)^5 which is -32

The answers is D. -32

Your constant ratio=-2 and a =1 therefore if you substitute these values into the general term formula for a geometric sequence the answer will be -32


2x+ 1/X-3+x/x-3+4/x-3

Answers

answer is below lmk if it’s correct or wrong

PLEASE HELPP I REALLY NEED IT​

Answers

Answer: Vertical angle proof

Step-by-step explanation: First off, this is really easy if you know how to do it. I think you should be able to figure it out. If you really are in collage. So Vertical angle proof, QPR is essentially (2x-30) but we need to find x. We know a triangle is 180 degrees and if it's a right angle then two angles add to 90.

So x+(2x+30)=90, 3x+30=90, 90-30=60, 3x=60, x=20. So there you have it. Now put x into the equation, 2(20)+30=70

70

A brochure claims that the average maximum height a certain type of plant is 0.7 m. A gardener suspects that this estimate is not accurate locally due to soil conditions. A random sample of 43 plants is taken. The mean height of the plants in the sample is 0.65m. Using a 1% level of significance, perform a hypothesis test to determine whether the population mean is different from 0.7m. Assume that the population standard deviation is 0.2 m.

Answers

Answer:

We accept the null hypothesis, that is, that the population mean is not different from 0.7.

Step-by-step explanation:

A brochure claims that the average maximum height a certain type of plant is 0.7 m.

This means that the null hypothesis is:

[tex]H_{0}: \mu = 0.7[/tex]

A gardener suspects that this estimate is not accurate locally due to soil conditions.

Hypothesis test to determine whether the population mean is different from 0.7m, which means that the alternate hypothesis is:

[tex]H_{a}: \mu \neq 0.7[/tex]

The test statistic is:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

0.7 is tested at the null hypothesis:

This means that [tex]\mu = 0.7[/tex]

A random sample of 43 plants is taken. The mean height of the plants in the sample is 0.65m.

This means, respectively, that [tex]n = 43, X = 0.65[/tex]

Assume that the population standard deviation is 0.2 m.

This means that [tex]\sigma = 0.2[/tex]

Value of the test statistic:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{0.65 - 0.7}{\frac{0.2}{\sqrt{43}}}[/tex]

[tex]z = -1.64[/tex]

Pvalue of the test:

Since we are testing that the mean is different of a value, and z is negative, the pvalue of the test is 2 multiplied by the pvalue of z = -1.64

z = -1.64 has a pvalue of 0.0505

2*0.0505 = 0.101

Using a 1% level of significance, perform a hypothesis test to determine whether the population mean is different from 0.7m.

0.101 > 0.01, which means that we accept the null hypothesis, that is, that the population mean is not different from 0.7.

find the greatest 5 digit number which exactly divide by 16, 56 and 120​

Answers

five-digitsinceStep-by-step explanation:

Ummm.....I have never done this before but I THINK what your supposed to do is find the lcm of all the pairs you can get from those 3 numbers.

so lcm(16,56)=112

lcm(56,120)=840

lcm(16,120)=240

Now take any number from this and take the lcm of that

lcm(112,840)=1680

that is the number if you take the lcm of any of them so it is the lcm of them all but it is not a  number. so  16,56, and 120 are divisible by 2 I just multiplied 1680 by 2 until I got the highest possible 5 digit number which was 53760

Hope that helps :)

9514 1404 393

Answer:

  99120

Step-by-step explanation:

The LCM of 16, 56, 120 can be found from their factors:

  16 = 2^4

  56 = 2^3 · 7

  120 = 2^3 · 3 · 5

So, the least common multiple is 2^4×3×5×7 = 1680.

10^5/1680 = 59 r 880

The largest 5-digit number divisible by 16, 56, and 120 is 59×1680 = 99120.

What is missing in the percent what is number 45 of 80

Answers

Answer:

35

Step-by-step explanation:

1. What is the purpose of using a control group and an experimental group in a research study? Give an
example of a situation where they would be used.

Answers

Answer:

A control group is used in an experiment as a point of comparison.

Step-by-step explanation:

By having a group that does not receive any sort of treatment, researchers are better able to isolate whether the experimental treatment did or did not affect the subjects who received it.

please help me, its urgent ❗❗❗❗❗❗❗❗❗❗❗❗

Answers

Answer:

the answer to this one is A.

Step-by-step explanation:

help me pleeeeeeeeeeeeease

Answers

Answer:

1:9

Step-by-step explanation:

9/9 = 1 and 81/9 = 9

Thus, 9:81 ratio simplified is 1:9

Over 4 days, Krista deposited $45 into
her bank account, transferred $30 to a
friend, deposited $59, and withdrew
$18. What was the mean change per day
to Krista's account during that week?

Answers

Answer:

50

Step-by-step explanation:

45 - 30 = 15

15 + 59 = 74

74 - 18 = 56

The mean change per day to Krista's account during the week is $ 14

What is Average?

The average value in a set of numbers is the middle value, calculated by dividing the total of all the values by the number of values.

Given data ,

The total sum of money in Krista's account = $45 - $30 + $59 - $18

                                                                             = $56

Total number of days = 4 days

Now ,

Mean change per day = Sum of money in Krista's account / Total number of days

Mean change per day  = 56 / 4

                                      = $ 14

Hence , The mean change per day to Krista's account during the week is $ 14

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A trail is 2 miles long. There is a marker every 1/8 mile. How many markers are there?

Answers

Answer:

16

Step-by-step explanation:

Number of Markers =

[tex]2 \div \frac{1}{8} \\ = 2 \times 8 \\ = 16[/tex]

Damian took out a car loan for $10,500 that has a 0% APR for the first 12
months and will be paid off with monthly payments over 3 years. For how
many months will Damian be charged interest?

A. 24 months
B. 48 months
C. 36 months
D. 12 months

Answers

Answer: 24 Months

Step-by-step explanation:

Please help trigonometry and special right trianglez

Answers

Answer:

Step-by-step explanation:

Please answer as soon as possible
Will give brainly

Which set of numbers shows the lower extreme, the lower quartile, the median, the upper quartile, and the upper
extreme for the box-and-whisker plot shown?

(14, 13, 28, 45, 54)

(6,12, 28, 44, 54)

(12, 20, 28, 44, 54)

(6,19,27, 44,54)

Will give brainly
Please help me

Answers

Answer:
B(6,12,28,44,54)

What is -60a^2+642a-420

Answers

Answer:

The answer is −6(10a−7)(a−10)

Step-by-step explanation:

1) Factor out the common term 6.

[tex] - 6( {10a}^{2} - 107a + 70)[/tex]

2) Split the second term in 10a² - 107a + 70 into two terms.

[tex] - 6( {10a}^{2} - 7a - 100a + 70)[/tex]

3) Factor out common terms in the first two terms, then in the last two terms.

[tex] - 6(a(10a - 7) - 10(10a - 7))[/tex]

4) Factor out the common term 10a - 7.

[tex] - 6( 10a - 7)(a - 10[/tex]

Therefor, the answer is -6 ( 10a - 7) (a - 10).

Pls help if not that’s fine just pls stop with the links

Answers

Answer:

C. 73 and 73

Step-by-step explanation:

An isosceles triangle has two angles that are the same, that narrows it down to C and D. The question states that there is only one 34° angle so it has to be C.

Answer:

C. 73° and 73°

Step-by-step explanation:

We know that the sum of interior angles in a triangle is equal to 180° and

Isosceles triangles has two angles with same measurement

it stated in the question that exactly one angle has measure of 34°

So the other two angles must be equal for the triangle to be isosceles

180 - 34 = 146 and this divided by 2

73° and 73° is the answer.

This Question: 1 pt
Determine whether the variation between the indicated quantities is direct or inverse.
The time required to defrost a frozen hamburger in a room and the temperature of the room.
Choose the correct answer below.
Inverse
Direct

Answers

Answer:

Inverse variation

Step-by-step explanation:

Required

What type of variation is described in the question

From the question, we understand that: the relationship is between time and temperature

The higher the time, the lower the temperature of the hamburger (to get freeze).

Hence, the relationship is an inverse variation.

A- (x+4) (4x-1)
B- (x-4)(4x-1)
C-(x+4)(4x+1)
D-(x-4)(4x+1)

Answers

D-(x-4)(4x+1) is your answer

Answer:

4x²-15x-4

doing middle term factorization

4x²-16x+x-4

4x(x-4)+1(x-4)

(x-4)(4x+1)

help plz
The first four terms of a sequence are shown below:
9, 5, 1, −3
Which of the following functions best defines this sequence?
A.) f(1) = 9, f(n + 1) = f(n) − 4; for n ≥ 1
B.) f(1) = 9, f(n + 1) = f(n) + 4; for n ≥ 1
C.) f(1) = 9, f(n + 1) = f(n) − 5; for n ≥ 1
D.) f(1) = 9, f(n + 1) = f(n) + 5; for n ≥ 1

Answers

Answer:

A.) f(1) = 9, f(n + 1) = f(n) − 4; for n ≥ 1

Step-by-step explanation:

The first four terms of a sequence are shown below.

Let

f(1) = 9

f(2) = 5

f(3) = 1

f(4) = -3

Therefore we know that

f(2) - f(1) = 5 - 9

f(2) - f(1) = - 4

f(2) = f(1) - 4

f(3) - f(2) = 1 - 5

f(3) - f(2) = - 4

f(3) = f(2) - 4

f(4) - f(3) = -3 - 1

f(4) - f(3) = - 4

f(4) = f(3) - 4

Hence the answer is A.) f(1) = 9, f(n + 1) = f(n) − 4; for n ≥ 1

Expand the following up to the term x⁴.

(2 + x)^-1​

Answers

Answer:

Rewrite the expression using the negative exponent rule

rule b^-1 = 1/bn

1/2+x

Step-by-step explanation:

this is the correct answer you want.

Solve the proportion.
10
15
a
24
a = [?]

help please I will give you brainliest!!

Answers

Let's solve your equation step-by-step.

10/a=15/24

Step 1: Cross-multiply.


10/a=15/24


(10)*(24)=15*a


240=15a


Step 2: Flip the equation.


15a=240


Step 3: Divide both sides by 15.

15a / 15 = 240/15

a=16

Simplify the expression: 2x+1+7x

Answers

Answer:

9x+1 is your answer

Step-by-step explanation:

2x+1+7x

2x+7x+1

9x+1

Answer:

9x+1

Step-by-step explanation:

2x+1+7x= 9x+1

can i have brainliest please

Pls hurry I need an instant answer ASAP! Thank you

Answers

Answer:

A= -2

Step-by-step explanation:

Hope I helped!! Negitive 2

Hey guys I think I know the answer but I cant afford to get it wrong-

Answers

The correct answer is $1.5 per ticket.

Answer:  $1.50 per ticket

Step-by-step explanation:

Divide 7.50 by 5 (You can do any of them. Like, 10.50/7 or 13.50/9 but you'll get the same answer.)

Once you divide them, you'll get 1.5.

$1.50 per ticket.

Not that bad

Simplify -5( 7 + x ) + 2 5/6x.

Answers

i think the answer is -35-13/6x

Find the area of the figure.
A) 96cm
B) 110cm
C) 120cm
D) 150cm​

Answers

Answer:

A

Step-by-step explanation:

Answer:

209952=Area

56=Perimeter

Step-by-step explanation:

3*3*2*2*9*9*6*12=Area

3+3+2+2+9+9+6+12=Perimeter

Meggie starts with 100$ in her account.she wants to deposit 5$ per week . write an equation in slope intercept form to represent this situation

Answers

Answer:

y = 5x + 100

Step-by-step explanation:

A rectangle has length of (5x+2) and a width of (3x-1) with an area of 308 units squared. Find the perimeter

Answers

Answer:

haach f,f msfmavfb

Step-by-step explanation:

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