Mathematics Middle School

The mean of 100 scores is 84. If each score is increased by 2 then what is the new mean?

Answers

Answer 1
The new mean would be 86 
84x100=8400
100 scores that you're adding two onto
100x2=200
8400+200=8600
8600/100= 86
Answer 2

To find the new mean after increasing each score by 2, we add 2 to the original mean of 84 to get a new mean of 86

The question concerns the calculation of the new mean when each score in a set is increased by a consistent amount. Given that the mean of 100 scores is 84, if we increase each score by 2, the new mean is also increased by 2. This is because the mean is the sum of all values divided by the number of values. Adding 2 to each score adds 200 to the total sum (since there are 100 scores), but the number of values remains the same. Thus, the new mean is 84 + 2, which equals 86

Related Questions

What is the first step in simplifying the expression 11x-2-3(1-7x)^2+(x+1)

Answers

Answer with Step-by-step explanation:

We are given a expression:

[tex]11x-2-3(1-7x)^2+(x+1)[/tex]

We have to determine the first step in the solution of the above expression.

First step will be to solve the term [tex](1-7x)^2[/tex]

We will firstly square the term 1-7x

[tex]11x-2-3(1-7x)^2+(x+1)\\\\=11x-2-3(1+49x^2-14x)+(x+1)\\\\=11x-2-3-147x^2+42x+x+1\\\\=-147x^2+54x-4[/tex]

Hence, First step is:

solve the term [tex](1-7x)^2[/tex]

Please help me now ! Thank you

Answers

First we'll do two basic steps. Step 1 is to subtract 18 from both sides. After that, divide both sides by 2 to get x^2 all by itself. Let's do those two steps now

2x^2+18 = 10
2x^2+18-18 = 10-18 <<--- step 1
2x^2 = -8
(2x^2)/2 = -8/2 <<--- step 2
x^2 = -4

At this point, it should be fairly clear there are no solutions. How can we tell? By remembering that x^2 is never negative as long as x is real. 

Using the rule that negative times negative is a positive value, it is impossible to square a real numbered value and get a negative result. 

For example
2^2 = 2*2 = 4
8^2 = 8*8 = 64
(-10)^2 = (-10)*(-10) = 100
(-14)^2 = (-14)*(-14) = 196

No matter what value we pick, the result is positive. The only exception is that 0^2 = 0 is neither positive nor negative.

So x^2 = -4 has no real solutions. Taking the square root of both sides leads to

x^2 = -4
sqrt(x^2) = sqrt(-4)
|x| = sqrt(4)*sqrt(-1)
|x| = 2*i
x = 2i or x = -2i
which are complex non-real values


simplify.
-5 ( x - 3) + 2 ( a - 9)
-5x + 2a + 33
-5x + 2a + 4
-5x + 2a - 33
-5x + 2a - 4

Answers

Answer:


Step-by-step explanation:

-5(x+3) + 2(a-3

-5*x =-5x

-5*3= -15

2*a=2a

2*9=18

-15+18=3

so the answer is -5x+2a-3

Solve for x:

x + 4.5 = -17.75

Please help!

Answers

X= -22.25. You subtract the 4.5 so the x can by it self
-22.25+4.5=-17.75 bammmmmmmmmmmmmm


need help like last time do the same thing

Answers

5) 8/6=4/3=1 1/3

He collected 1 1/3 

6) 60/10=6

They sold 6 cats per week

7) 90/10=9

He/she installed 9 sheets per minute.

What is the property of 2x32x5=2x5x32=

Answers

it would be communitive property

Reese spent $4.95 on cookie supplies. He sold 24 cookies at $2 each. His profit is how much more he got from selling the cookies than he spent. What was his profit?

Answers

To solve this problem, we should first find out how much Reese made from selling cookies. To do this, we have to multiply the cost of one cookie ($2) by the number of cookies he sold (24). This is modeled below:

24 * $2 = $48

To find Reese's total profit, we must subtract how much he spent on the supplies ($4.95) from his earnings ($48). This is modeled below:

$48 - $4.95 = $43.05

Therefore, Reese's profit is $43.05.

Hope this helps!

I really need help
thx

Answers

5) 2*5
     over             which equals 10/40 or 1/4
    5*8

6)8*3=24 
   15*10=150  answer is 24/150

7)2*12=24
  9*13=117   answer 8/39 

8)7*12=84
   8*1=8  answer 8 and 1/2 or 84/8

9)4*5=20
   12*1=12 answer 1and 2/3 or 20/12 

10) 4*4=16
      9*9=81   answer 16/81

11)3*7=21
    14*9=126 answer 1/6

12)8*24=192
     9*11=99 answer 1 and 31/33 or 192/99


Solve for x in the diagram shown.
A) 15
B) 16(mixed fraction
1
3
C) 16 (mixed fraction)
2
3
D) 17

Answers

To find the ratio, divide 15/18 to get .833333333

Then multiply that by the 20 to get: 16.6666667 or as a fraction 16 2/3

Final answer: C.) 16 2/3

Hope this helps!

The value of x will be 16 2/3.

What is mean by Triangle?

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

LMN is a triangle shown in figure.

Now,

Here, LMN is a triangle shown in figure.

By definition of proportionality, we get;

⇒ x / 15 = (20 + x) / (15 + 18)

Solve for x as;

⇒ x / 15 = (20 + x) / 33

⇒ 33x = 15 (20 + x)

⇒ 33x = 300 + 15x

⇒ 33x - 15x = 300

⇒ 18x = 300

⇒ x = 300/18

⇒ x = 50/6

⇒ x = 16 2/3

Thus, The value of x will be 16 2/3.

Learn more about the triangle visit:

https://brainly.com/question/17335144

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|x + 3| < 5

–8 < x < 2
–2 < x < 8
3 < x < 5
–3 < x < 5

Answers

Answer:

-8 < x < 2

Step-by-step explanation:

[tex]|x+3|<5\iff x+3<5\ \wedge\ x+3>-5\qquad\text{subtract 3 from both sides}\\\\x<2\ \wedge\ x>-8\Rightarrow -8<x<2[/tex]

Find the nth term in the following sequence:
10, 19, 34, 55

Answers

the nth term is 3n²+7

Answer:

The nth term of sequence is [tex]3n^{2}+7[/tex]

Step-by-step explanation:

We need to find out the general recurrence relation of sequence:

[tex]10, 19, 34, 55[/tex]

if we see pattern of sequence that every square of each number 'n' is multiple of 3 and addition of 7

check this pattern by [tex]3n^{2}+7[/tex]

For n=1

[tex]3n^{2}+7[/tex]

[tex]3(1)^{2}+7[/tex]

[tex]3+7[/tex]

[tex]10[/tex]

For n=2

[tex]3n^{2}+7[/tex]

[tex]3(2)^{2}+7[/tex]

[tex]3\times 4+7[/tex]

[tex]12+7[/tex]

[tex]19[/tex]

For n=3

[tex]3n^{2}+7[/tex]

[tex]3(3)^{2}+7[/tex]

[tex]3\times 9+7[/tex]

[tex]27+7[/tex]

[tex]34[/tex]

And so on..

Therefore, the nth term of sequence is [tex]3n^{2}+7[/tex]

Each year a school sends 50 students to a conference. Last year, the cost was $12.50 per student. This year, the cost per student has increased by 16%. How much will it cost to send 50 students to the conference this year

Answers

multiply 12.50 by 16% to find the new cost

12.50 * 1.16 = 14.50 per student

14.50 * 50 = $725

This year. Student numbers have not changed. However, the cost is raised by 16 percent. 12.5 * 1.16(1+0.16)= $14.5
This year, each student has to pay $14.5.
14.5 * 50= 145*5= $725

if cosA=2/5, find the value of 4+4 tan^2A

Answers

The first equation is given to determine A.

cos A = 2/5
A = cos⁻¹(2/5) = 66.42°

Now that we know A, we use this value to the second equation.

4 + 4tan²A = 4 +24.996 4tan²(66.42°) = 24.996 ≈ 25

Answer:

25

Step-by-step explanation:

whats 3/4+1/4÷4/5+1/2

Answers

1.2625  i dunno if this is correct though on my calculations

The ratio of Aspens to Ponderosa Pines in a part of a forest is 12 to 16. If there are 12 Ponderosa Pines, how many Aspens are there?

Answers

Is aspens part of math?
Do you have Any answer choices

yesterday jamal scored -20 points on a puzzle today he scored more points use absolute value to describe today's score as a loss

Answers

Absolute value is never negative so the answer is 20
Final answer:

The absolute value of Jamal's score is 20, indicating a loss of 20 points.

Explanation:

In math, the absolute value of a number is the positive value of that number, regardless of its sign. Since Jamal's score on the puzzle was -20 points, we can use absolute value to describe today's score as a loss by taking the absolute value of the score. The absolute value of -20 is 20, which means that today's score was a loss of 20 points.

Mary buys a dress and a pair of shoes. Before adding the tax she pays $ 48 for the dress which normally sells for $ 62, and she pays $ 34 for the shoes which normally sell for $46.

Answers

Hello! I can help you with this!

a. To find out how much Mary saved, we will have to subtract the sale price from the original price, and then add up the difference to find how much she saved. 62 - 48 is 14. 46 - 34 is 12. 14 + 12 = 26. Mary saved $26 by buying at the sale item price.

b. To find the amount of discount, we can write and solve a proportion, by setting it up like this: change/original = x/100. Change is the distance between two numbers and the original is the previous price. If you know about proportions, you cross multiply the values, and then divide each side by a number to isolate "x". If you solve each proportion correctly, here are your answers for each item:

Dress: ≈ 23% discount
Shoes: ≈ 26% discount

c. Okay. So when we add up the sales prices together, 48 + 34 is 82. In order to find the total amount with tax, we multiply the sale price, by (1 + r). In other words, add 1 to the rate in decimal form and multiply it by the total of the sales price. 82 * 106.5% (1.065) is 87.33. Mary paid a total of $87.33.

How many terms are there in the expression 2x - 5y + 3 + x?
3
4
5
6

Answers

Terms or Like Terms?

ther is 4
hope this helps

Only 5,6,7,8 please help

Answers

5.) 67.24390 ( 24390 repeating)

6.)0. 87.213114 etc. (estimate it)

7.) 27. 714285 ( repeating)

8.) 70.60869 (estimate it)

Suppose △ITH≅△APG.

Which congruency statement is true?

Answers

△ITH≅△APG.

answer
B. IH = AG

It is given that the triangles ITH and APG are congruent.

When the two triangles are congruent, then the corresponding angles and sides are congruent to each other.

By being congruent, the corresponding angles which are congruent are:

[tex]IT \cong AP, TH \cong PG, IH \cong AG[/tex]

Therefore, [tex]IH \cong AG[/tex]

SO, Option 2 is the correct answer.

4sin theta + 3 square root of 3 = square root of 3

Answers

Solving for θ:

4sinθ + 3√3 = √3

First subtract 3√3 from both sides:

4sinθ = -2√3

Now, divide by 4:

sinθ = (-2√3)/4
sinθ = -√3/2

Using the unit circle we know that sin of -√3/2 is 240° or 4/3π and 300° or 5/3π

Hope this helps!


I need help to figure out n

Answers

First of all, you want to divide both sides by 1/9 in order to isolate the variable

n= 2/3 ÷ 1/9          As you may have learned, you cannot divide fractions,                                   instead you do KCF (Keep Change Flip). So keep the                                     first fraction, change the division to multiplication, and flip                               the last fraction.
n = 2/3 * 9/1        Simplify the cross terms
n = 2/1 * 3/1        Multiply 2 by 3
n= 6

How many solutions can be found for the linear equation? 6( 3x/2 + 4) - 10 = 1/2 (4x + 16)


A) no solutions

B) one solution

C) two solutions

D) infinitely many solutions

Answers

I think its c) two solution but im, not 100% sure



Answer:

its b one solution

Step-by-step explanation:

identify the terms and like terms in the expression - x - 9x*2 + 12x*2 + 7

Answers

The expression - x - 9x^2 + 12x^2 + 7 has 4 terms:
-x, -9x^2, 12x^2, 7

Like terms are:
-9x^2, 12x^2
Final answer:

The terms in the expression - x - 9x*2 + 12x*2 + 7 are -x, -9x*2, +12x*2, and +7. The like terms in the expression are -9x*2 and +12x*2. The terms -x and +7 are not like terms.

Explanation:

In the expression - x - 9x*2 + 12x*2 + 7, the terms are:

-x-9x*2+12x*2+7

The like terms are the terms that have the same variable and exponent. In this expression, the like terms are -9x*2 and +12x*2, since they both have the variable x raised to the power 2. So, the like terms are -9x*2 and +12x*2.

The terms -x and +7 do not have the same variable or exponent, so they are not like terms.

Learn more about terms and like terms here:

https://brainly.com/question/29169167

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Jasmine opened a bank account. She deposited $84.50 into her account every month for 20 months. She used $50.50 every month to pay for dance lessons. After 20 months, she used 1 over 4 of the total money left in her account to go to a music camp. What is the total amount of money Jasmine spent to go to the music camp?

$115.00
$135.00
$155.00
$170.00

Answers

you multiply 84.50 and 20 then you subtract 50.50 times 20 which equals $680 then you divide by four and get $170.00.

Answer:

Option D 170.00.

Step-by-step explanation:

I took the test.

You purchasing 220 airline ticket you have a discount code to receive 10% off there is a 10.5% service charge and how much do you pay for your ticket

Answers

After having a discount of 10%, we have to pay the net price: 220x90%= 198
But you have to pay 10.5% service charge, that means the service charge is 198x10.5%= 20.79
And finally you have to pay: 198+20.79= 218.79
Hope it is helpful

The human body is 70% water on average. About how much water will be in a person that weighs 140 pounds?

Answers

For this, you would need to find 70% of 140. To do so you must do the following: 140 x 0.7, which would lead you to the following answer: 98. So, if someone were to weigh 140 pounds, they would have around 98 pounds of water in their body!
I hope this was helpful, and if you need any more help, please let me know so I can further assist you.

what is 3/4 of 1/3 of a mile ???

Answers

3/4 of 1/3 of a mile is .25 of a mile
That is 0.25 of a mile, which is 440 yards.

simplify the expression (5-5i)-(-6-3i)

How do I solve this? Either teach me how, or help me with a few other simmilar ones.

Answers

Answer: Simplifying the expression of the substraction of the two complex numbers we get  11-2i


Solution:

(5-5i)-(-6-3i)

Eliminating the parentheses: 5-5i+6+3i

Grouping similar terms: (5+6)+(-5+3)i

Adding the similar terms: 11+(-2)i = 11-2i

Answer:

The simplify form of given expression is 11-2i.

Step-by-step explanation:

The given expression is

[tex](5-5i)-(-6-3i)[/tex]

Using distributive property, we get

[tex]5-5i-(-6)-(-3i)[/tex]

[tex]5-5i+6+3i[/tex]

Combined real and imaginary parts.

[tex](5+6)+(-5i+3i)[/tex]

[tex]11+(-2i)[/tex]

[tex]11-2i[/tex]

Therefore the simplify form of given expression is 11-2i.

how will i do this it is very confusing.

Answers

Hello.

A scale factor is a term that defines the multiplicative/divisive measurement difference between the two same shapes. The way we can find our scale factor is by dividing our new measurement by the old measurement.

681 / 3 = 227

Our scale factor is 1/227, as 3 is 1/227 of 681 - and we are looking for the scale factor to find what multiplied by 681 would give us 3.

I hope this helps!
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