Answer:
30
Step-by-step explanation:
Since we have five numbers and their mean is 16 as we all know that
mean = summation of total numbers / summation of total number of terms
Mean = 16 for 5 numbers
sum = 16 x 5 = 80( sum of the five terms)
when two extra numbers are added, it then becomes 7 numbers . since the numbers are unknown we then represent each numbers with the X and Y
New sum = 80 + x + y
new number of terms = 7
new mean = 20
20 = 80 + x + y
7 we cross multiply to get the unknown values
20 x 7 = 80 + x + y , 140 = 80 + x + y
we use y as subject of the formula to get x
140 - 80 + x = y
60 + x = y, y = 60 + x
we input y = 60 + x into the equation (140= 80 + x + y) to get x
140 = 80 + x + 60 + x , 140 = 80 + 60 + x + x
140 = 140 + 2x , 140 -140 = 2x
0 = 2x , divide both sides by 2 to get x
x = 0
we then input x = 0 into the equation to get y
140 - 80 + x = y
140 - 80 + 0 = y , 60 + 0 = y
y = 60
To find the mean of the two extra numbers, we then use the above formula for finding mean.
60 + 0 / 2 = 60 / 2 =30
mean = 30.
Which of the following represent the three sides of the right triangle shown below? Select all that
apply
20
18
16
14
12
10
8
6
4
2
0
1
2
3
4
5
6
7
8
9
10
you want a better price to pay the bill on leaderboard than a year old but the only other person would need points on a few days is a bit less expensive for you but you are going a good job in my career that will give my heart and legendary domortu for my son who loves the music he deserves as much for as a person can see it all of you can be very creative as I
Need some help if anyone can
Answer:
Step-by-step explanation:
Please help with solution needed!!
Step-by-step explanation:
you know how to multiply two expressions ?
every term of every expression is multiplied with every term of the other expression and the results are added (while considering any specific signs, if course).
(2x² + 3)(2x² - 3) = 2x²×2x² + -3×2x² + 3×2x² + 3×-3 =
4x² - 6x² + 6x² - 9 = 4x² - 9
and that is exactly the right side of the original equation.
so, it is correct.
if x+b=6 then what is b
Answer: 3
Step-by-step explanation: 6 is 3 and 3 so b is 3 and x is 3
Is (0,7) a solution to the equation 2x+y=6
Answer:
No
Step-by-step explanation:
2(0)+7
=0+7
=7
therefore,(0,7) is not a solution to the equation 2x+y=6
0=×
7=y
Answer: no it isn’t
Step-by-step explanation: this is super simple so do solve this you have know your x and y values on coordinate points in this case (0,7) our x here is 0 and our y is 7 (the x will always be the first number and the y will be the last)
Here we are given a equation all we have to do is plug 0 for x and 7 for y.
2(0)+7=6
2 x 0= 0
So: 0+7=7
7 does NOT equal to 6 therefor (0,7) is NOT a solution
Write an expression for the area of the shaded region in its simplest form. Show all of your steps. Show your work!
Answer:
[tex]A=x^2+23x+49[/tex]
Step-by-step explanation:
Hi there!
The area of the shaded region is equal to the area of the big rectangle minus the area of the square.
Area of the big rectangle:
[tex]A=lw\\A=(x+10)(2x+5)[/tex]
Area of the square:
[tex]A=a^2\\A=(x+1)^2[/tex]
Area of the shaded region:
[tex]A=(x+10)(2x+5)-(x+1)^2[/tex]
Expand:
[tex]A=(x+10)(2x+5)-(x+1)^2\\A=2x^2+5x+20x+50-(x+1)^2\\A=2x^2+5x+20x+50-(x^2+2x+1)\\A=2x^2+5x+20x+50-x^2-2x-1[/tex]
Combine like terms:
[tex]A=2x^2-x^2+5x+20x-2x+50-1\\A=x^2+23x+49[/tex]
I hope this helps!
Let f(x)=4x2 6. The function g(x) is f(x) translated 4 units down. What is the equation for g(x) in simplest from? Enter your answer by filling in the box. G(x) =.
The G(x) is the new function of the f(x) which is translated 4 units down is 4x²+2.
What is Function?A function assigns the value of each element of one set to the other specific element of another set.
The given function can be transformed from the initial position of the new position by subtracting the 4 from the initial function.
We know that in the initial function y=4x²+6, y is the output, while x is the input for the function f(x).
As the G(x) is the new function of the f(x) which is translated 4 units down. therefore,
[tex]G(x) = f(x)-4\\\\G(x) = 4x^2+6-4\\\\G(x) =4x^2+2[/tex]
hence, the G(x) is the new function of the f(x) which is translated 4 units down is 4x²+2.
Learn more about Function:
https://brainly.com/question/5245372
How many triangles can I make with 3cm, 5cm, 4cm?
Answer:
You will need “paper sticks” that are 3cm, 4cm and 5cm long. Each measurement should have its own colour (e.g., 3cm red, 4cm green, 5cm blue). You will need to make approximately 12 of each “stick”.
Step-by-step explanation:
I NEED HELPPPPP ON THISSS ASAPPPPPPPP!!!!!!!!
- THIS IS A 50 POINT QUESTION
Answer:
40
Step-by-step explanation:
Sum of all angles of triangle = 180°
∠W + ∠X + ∠Y = 180
10x + 17 + 2x - 9 + 3x + 7 = 180
10x + 2x +3x + 17 - 9 + 7 = 180
Combine like terms
15x + 15 = 180
15x = 180- 15
15x = 165
x = 165/15
x = 11
∠Y = 3x +7 = 3*11 + 7 = 33 + 7 = 40
Answer:
X is 11 and after substitution y is 40
2x^2-19x+9=0 does anyone know the answer
Answer:
x=1/2,x=9
Step-by-step explanation:
[tex]2x^{2} -19+9=0\\\\2x^{2} -18x-x+9=0\\\\2x(x-9)-1(x-9)=0\\\\(2x-1)(x-9)=0[/tex]
2x-1=0......I
x-9=0.......II
Solving I
2x-1=0
2x=1
x=1/2
Solving II
x-9=0
x=9
Please help me...................
Answer:
[tex]y = \frac{4}{3}x + 2[/tex]
Step-by-step explanation:
Find the equation for the line in slope-intercept form: [tex]y = mx + b[/tex]
where m is the slope (gradient) and b is the y-intercept.
To find the slope (m)
Choose 2 points on the line: (0, 2) and (6, 10)
Let (0, 2) = [tex](x_1,y_1)[/tex]
Let (6, 10) = [tex](x_2,y_2)[/tex]
Use the slope formula: [tex]m=\frac{y_2-y_1}{x_2-x_1} =\frac{10-2}{6-0} =\frac{4}{3}[/tex]
Therefore, [tex]y = \frac{4}{3}x + b[/tex]
To find the y-intercept
The y-intercept is when x = 0 (where the line intersects the x-axis).
By inspection, the line intersects the y-axis at y = 2.
Therefore, y-intercept = 2
So, [tex]y = \frac{4}{3}x + 2[/tex]
Can someone please help me with this square root problem?
Answer:
c = 14.9
Step-by-step explanation:
use the pythagorean thereom:
a² + b² = c²
a² = 11 × 11 = 121
b² = 10 × 10 = 100
c² = 121 + 100 = 221
now find the square root of 221:
√221 = 14.866...
round to the nearest tenth:
the 6 next to the 8 means round up.
so the hypotenuse is 14.9
Please help, Is this right? I’ll mark as brainliest
I tried so many things to solve this. What do I do?
Answer:
x=67 degrees
Step-by-step explanation:
2x + 46 = 180
2x = 134
x = 67
Add: 6/10+7/100=____
Answer:
670/1000 un simplified, 67/100 simplified
Kathleen and christine compared thier results on their results. Kathleen had 50 correct and christine had 60 correct answers. There were 42 words they both had correct and 6 they both had wrong. How many words were there on the spelling test.
Answer:
48
Step-by-step explanation:
42 + 6 = 48 total words
Answer:
74
Step-by-step explanation:
42+6+(50-42)+(60-42)
PERFOMANCE TASK: Solve the word problem below. You may draw the figure to solve the problem The legs of a right triangle are congruent, and the hypotenuse is 5v2 units long. Find the length of each leg. (Use the Pythagorean Theorem, c2 al + b2D
Answer:
x =5
Step-by-step explanation:
c = 5√2
a = x
b = x
Formula
x^2 + x^2 = c^2 Combine the x^2
Solution
2x^2 = (5√2)^2 Expand the right side
2x^2 = 2*25 Divide both sides by 2
x^2 = 25 Take the square root of both sides.
x = 5
can someone please teach me how to do percentage
Answer:
value/total value • 100 = percentage
Step-by-step explanation:
if 5 out 100 kids have red backpacks then 5% of kids have red backpacks
5/100 • 100 = percentage
0.05 • 100 = percentage
5% = percentage
if 13 cars out of 41 have flat tires, then 32% of the cars have flat tires
13/41 • 100 = percentage
0.31707317073... • 100 = 31.707317073... %
depending on your precision, you may include as many decimal places as you like, unless the question specifies it. For our example, we will round to 2 decimal places.
31.707317073... % = 31.71%
if you're looking to find percentages for probability, you will use the same equation.
the odds of flipping a coin and it landing on heads are 50%
possibilities:
Heads, Tails
there is one outcome where our result occurs out of the two possible outcomes
1/2 • 100 = percentage
0.5 • 100 = percentage
50% = percentage
Hope this helps and wasn't confusing
Dave bought a golf club priced at $261.Shipping and handling cost an additional 15% of the price.What was the total cost of the golf club,including shipping and handling?
Answer:
$300.15
Step-by-step explanation:
The price of the golf club is 100% of its price.
The shipping and handling add 15% of the price.
That means he will pay a total of 115% of the price of the golf club.
115 of $261 = 1.15 × $261 = $300.15
Answer: $300.15
please help me with angle sum theorem
Answer:
y = 90
Step-by-step explanation:
Y is a right angle, and if we check, 90 + 90 = 180. The total angle sum of a straight line is 180 degrees.
What is the average distance from the mean, using this data? 10, 8, 5, 12, 20
Hey there!
• When you hear the word “mean” in mathematics it usually defined as “average”.
• To find it you have to ADD all of the numbers DIVIDE all of the numbers you have in the given data plot.
YOUR EQUATION:
10 + 8 + 5 + 12 + 20 / 5
= 18 + 5 + 12 + 20 / 5
= 23 + 12 + 20 / 5
= 35 + 20 / 5
= 55 / 5
= 11
Therefore, your answer is: 11
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
can someone help, thanks!
Answer:
16, 10
Step-by-step explanation:
There are 4 quarts in a gallon, so 4 gallons has 16 qt.
There are 2 pints in a quart, so 5 quarts has 10 pt.
What is the measure of angle y in this figure?
Enter your answer in the box.
y=__
Answer:
163°
Step-by-step explanation:
Since those 2 arrows are straight lines that go through each other, angles that are opposite are the same. So the opposite of y is 163°.
a) Write down all the factors of 120.
Answer:
Factors of 120:
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60 and 120
Prime Factors:
2, 3,and 5
Step-by-step explanation:
Factors are: numbers that can be multiplied together to get a certain number
Hope this helps! Plz give brainliest! Also, plz sub to Kgirl633 on yt.
50 Points
Show your steps of the conversion of the decimal numbers write in your own steps.
1. 3
2. 8
3. 15
4. 18
5. 33
6. 49
7. 64
8. 108
9. 251
[tex]\\ \tt\longrightarrow 3=\dfrac{3}{10}=0.3[/tex]
[tex]\\ \tt\longrightarrow 8=\dfrac{8}{10}=0.8[/tex]
[tex]\\ \tt\longrightarrow 15=\dfrac{15}{100}=0.15[/tex]
[tex]\\ \tt\longrightarrow \dfrac{18}{10}=1.8[/tex]
[tex]\\ \tt\longrightarrow 33=\dfrac{33}{100}=0.33[/tex]
[tex]\\ \tt\longrightarrow 49=\dfrac{49}{100}=0.49[/tex]
[tex]\\ \tt\longrightarrow 64=\dfrac{64}{100}=0.64[/tex]
[tex]\\ \tt\longrightarrow 108=\dfrac{108}{100}=1.08=1.1[/tex]
[tex]\\ \tt\longrightarrow 251=\dfrac{251}{1000}=0.251[/tex]
Calculate the difference between the 10th term and 50th term of the sequence 9,14,19,24, ... ...
Answer:
Step-by-step explanation:
Number series : 9, 14, 19, 24
First term = a1 = 9
common difference = a2 - a1 = 14 - 9=5
Find the nth term:
an = a1 + + (n - 1)d
an = 9+ (n - 1)(5)
an = 9+5n - 5
an = 4 + 5n
Find the 10th term:
an = 4 + 5n
a10 = 4 + 5(10)
a10 = 4 + 50
a10 = 54
Find the 50th term:
an = 4 + 5n
a50 = 4 + 5(50)
a50 = 254
Find the difference between the 10th and
50th term:
Difference = 254 - 54 = 200
Answer: The difference is 200
Given the data from the question, the difference between the 10th term and the 50th term is 200
What is an arithmetic sequence?This is a type of sequence which have common difference between each term. It is represent mathematically as:
Tₙ = a + (n – 1)d
Where
Tₙ is the nth terma is the first term n is the number of termsd is the common difference How to determine the 10th termSequence: 9,14,19, 24First term (a) = 9Common difference = 14 – 19 = 5Number of terms (n) = 1010th term (T₁₀) =?Tₙ = a + (n – 1)d
T₁₀ = 9 + (10 – 1)5
T₁₀ = 9 + (9)5
T₁₀ = 9 + 45
T₁₀ = 54
How to determine the 50th termSequence: 9,14,19, 24First term (a) = 9Common difference = 14 – 19 = 5Number of terms (n) = 5050th term (T₅₀) =?Tₙ = a + (n – 1)d
T₅₀ = 9 + (50 – 1)5
T₅₀ = 9 + (49)5
T₅₀ = 9 + 245
T₅₀ = 254
How to determine the difference 50th term (T₅₀) = 25410th term (T₁₀) = 54Difference =?Difference = T₅₀ – T₁₀
Difference = 254 – 54
Difference = 200
Learn more about arithmetic sequence:
https://brainly.com/question/16130064
Question 7 of 10
What is the midpoint of the segment shown below?
10+
O A. (-1,-3)
O B. (-2, -3)
(-11.0)
- 10
(9,-1)
O C. (-2, -1)
- 10
O D. (-1,-1)
Answer:
A. (-1, -1/2) is the correct answer.
30 is 10 times as much as
Answer:
3
Step-by-step explanation: 10*3 is equal to 30.
Answer:3
Step-by-step explanation:3 is 10 times as much as 30 which is 3x10=30
I need help ls thank you!!!!!
Answer:
mean = 24
Step-by-step explanation:
From inspection, there are 7 values.
The values are 12, 13, 15, 28, 28, 30, 42
To find the mean, sum the numbers: 12 + 13 + 15 + 28 + 28 + 30 + 42 = 168
Divide by the number of values: 168 ÷ 7 = 24
Therefore, mean = 24
1234567890987654321123456789
Answer:
1234567890987654321123456789 is the answer
Step-by-step explanation:
and also hey