Answer:
[tex]81[/tex]
Step-by-step explanation:
The average of a set of [tex]n[/tex] values is equal to the sum of the values in that set divided by [tex]n[/tex].
Therefore, the average of your 5 scores is equal to [tex]\frac{73+86+91+88+67}{5}=\boxed{81}[/tex]. Since evidently your grade is represented by the average of all your scores, your new grade is 81.
The length of a rectangle is 2 ft shorter than 5 times its width, x. The area of the rectangle is less than 100 f12.
Which inequality can be used to determine the maximum width (ft) of the rectangle?
A. 5x2 – 2x < 100
OB. 5x2 - 2x > 100
O C. 5x2 + 2x > 100
D. 5x2 + 2x < 100
HELPPP PLS!!
Answer:
A
Step-by-step explanation:
Area of rectangle = length x width
length = 5x - 2
width = x
area = (5x - 2) × x
100 = 5x² - 2x
the width would be less than the area of the rectangle, thus the inequality sign to be used is <
5x² - 2x < 100
What is the greatest common factor of 42, 30, and 45
Answer:
3
Step-by-step explanation:
Express the numbers as a product of their primes.
42 = 2 × 3 + 7
30 = 2 × 3 × 5
45 = 3 × 3 × 5
Identify the prime factors common to all 3 numbers.
common prime factor = 3 , thus
GCF = 3
Answer: 3
Step-by-step explanation: The factors of 30 are 1. 2. 3. 5. 6. 10, 15, 30
The factors of 42 are 1, 2, 3, 6, 7, 14, 21, 42
The factors of 45 are 1, 3, 5, 9, 15, 45
As you can see they all share the factors of 1 and 3. Since 3 is the greatest number of the factors all of them share it is the greatest common factor.
What is the solution to the system of equations graphed below?
the answer is C, hope this helps.
Answer:
BELOW
Step-by-step explanation:
(Y, X)
Y=-1
X=1
*** ACCORDING TO MY SOLUTION THE ANSWER IS (-1,1)
Which of the following is a statistical question?
Johnny Bravo bought Amazon 25 shares at $50. He sold them at $2346 a few years later. How much money did he make on this stock?
Answer:
$1096
Step-by-step explanation:
If Johnny Bravo bought Amazon 25 shares at $50, the cost price is expressed as;
Cost price of 25shares = 25 * 50
Cost price of 25shares = $1,250
If he sold them at $2346 a few years later
Profit = Selling price - Cost price
Profit made = 2346 - 1250
Profit made = $1096
A batter gets 6 hits in 12 times at bat. What is the experimental
probability that she will get a hit in her next time at bat?
Answer:
1/2 or 50% or .5
Step-by-step explanation:
She hits at .500 that's pretty good. I'd take her on my fantasy team.
solve these simultaneous linear equation
3x - 4y = 1
6x + 7y = 13
9514 1404 393
Answer:
(x, y) = (59/45, 11/15) ≈ (1.311, 0.733)
Step-by-step explanation:
A graphing calculator shows us the solution is not integer values, so we may find it easiest to solve these equations using the "cross-multiplication method."
Writing the equations in general form, we have ...
3x -4y -1 = 0
6x +7y -13 = 0
Then we can form an array of the coefficients, repeating the first column:
[tex]\begin{array}{cccc}3&-4&-1&3\\6&7&-13&6\end{array}[/tex]
Forming differences of cross products involving adjacent pairs of columns gives ...
d1 = (3)(7) -(6)(-4) = 45
d2 = (-4)(-13) -(7)(-1) = 59
d3 = (-1)(6) -(-13)(3) = 33
Then the solutions are found from ...
1/d1 = x/d2 = y/d3
or
x = d2/d1 = 59/45
y = d3/d1 = 33/45 = 11/15
The solution is (x, y) = (59/45, 11/15) ≈ (1.311, 0.733).
_____
Additional comment
This takes longer to explain than to do. One reason we like it is that the number of math operations is slightly smaller than the number of math operations required for substitution or elimination. It is especially nice when the solution is not a pair of integers.
x-3=0 mod 4 and also explain how to find mod stuff
Answer:
Step-by-step explanation:
x-3=0mod 4 means
if x-3 is divided by 4 ,remainder is zero.
[tex]\frac{x-3}{4} =m(say)\\x-3=4m\\x=4m+3[/tex]
where m is an integer.
‘I-Moons’ charges $12 per album downloaded and an initial joining fee of $3. ‘I-Toons’ Charges $10 per album downloaded and a joining fee of $9. Write a system of linear equations that models this situation.
I-moom equation is 12x+3
I-toons equation is 10x+9
What is the slope-intercept equation of the line below
Which statement is true?
The range of h(x) is y> 0.
The domain of g(x) is y> 0.
O The ranges of f(x) and h(x) are different from
the range of g(x).
O The domains of f(x) and g(x) are different from the domain of h(x).
Answer:
Step-by-step explanation:
The equation sin (25 degree) equals StartFraction 9 Over c EndFraction can be used to find the length of Line segment A B.
Answer:
[tex]AB = 21.3[/tex]
Step-by-step explanation:
Given
[tex]\sin(25) = \frac{9}{c}[/tex]
See attachment
Required
Find AB
We have:
[tex]\sin(25) = \frac{9}{c}[/tex]
Make c the subject
[tex]c = \frac{9}{\sin(25)}[/tex]
[tex]c = 21.3[/tex]
From the attached triangle;
[tex]AB = c = 21.3[/tex]
Hence:
[tex]AB = 21.3[/tex]
Pls help quickly! First 2 answers i will chose to get a brainliest!
Answer:
222 yds^3
Step-by-step explanation:
First find the volume of the back rectangular prism
V = l*w*h = 9* 6*3 =162
Then find the volume of the front rectangular prism
V = 5*4*3 = 60
Add them together
V total = 162+60 =222 yds^3
PLEASE HELP!!!
Select all of the true statements below.
A
Kingsville started with a larger population in the year 2000.
B
Each year, the population of Kingsville increases by more people than does the population of Fairfield.
C
Kingsville and Fairfield both have decreasing populations.
D
After 6 years, Fairfield's population is greater than Kingsville's population.
Which set of numbers includes only integers?
Rational Numbers
Integers
Whole Numbers
-5, - 32.1,
23
Answer:
Second one
Step-by-step explanation:
Integers are any whole numbers ( can be negative or positive )
The only answer choice that contains only whole numbers is the second one
Help, please, what is the answer??
Answer:
18.0
Step-by-step explanation:
The three lines form a right triangle where 10 and 15 are the two legs of the triangle. You can use the pythagorean theorem to solve for the length of x.
x = [tex]\sqrt{15^{2} + 10^{2} }[/tex]
x = 18.028 (approximately 18)
Giventhat : APRQ ~AD
What is m
Answer:
∠D = 56°
∠D = 180° - (35° + 89°) = 56°
In circle S with mRST = 68, find the mRUT.
Answer:
m∠RUT=1/2 m∠RST
=1/2(68)
=34°
m∠RUT=34°
--------------------------hope it helps...have a great day!!What is the radius and diameter of each circle ?
Answer:
A
radius is 11
diameter is 22
B
radius is 15
diameter is 30
C
radius is 13
diameter is 26
D
radius is 7
diameter is 14
Answer:
Step-by-step explana
1- R == 11
D=2R = 22
2-D =30
R= 0.6D = 15
3- D = 26
R= 0.5D= 13
4 - R= 7
D= 2R = 14
Find the value of the variable
Answer:
v=9
Step-by-step explanation:
Given the right triangle is a 30-60-90 triangle, we can simply make the equation v√3=9√3 since the longest side of a 30-60-90 triangle is √3 times as big as its short side. Therefore, v=9.
Given that P = 3K/R, by making R the subject of the formula we get is
Answer:
R=3K/P
Step-by-step explanation:
P=3K/R
RP=3K
RP/P=3K/P
R=3K/P
2. Your distant family has invited you to stay at the farm with them this summer.
Congrats! Your first task is to repaint the old silo. The radius of the silo is 15 feet. How
much area will you need to cover with your paint?
if the volume of a sphere is 36 pi cubic inches, what is the radius?
Answer:
r = 3 in
Step-by-step explanation:
The volume (V) of a sphere is calculate as
V = [tex]\frac{4}{3}[/tex]πr³ ( r is the radius )
Here V = 36π , then
[tex]\frac{4}{3}[/tex]πr³ = 36π ( multiply both sides by 3 to clear the fraction )
4πr³ = 108π ( divide both sides by 4π )
r³ = [tex]\frac{108\pi }{4\pi }[/tex] = 27 ( take the cube root of both sides )
r = [tex]\sqrt[3]{27}[/tex] = 3
Can someone help me with this ?
12 + 8 = 20 , 20 + 8 = 28 , 28 + 8 = 36
5 + 8 = 13 , 13 + 8 = 21 , 21 + 8 = 29
29 is the answerAnswer:
29
Step-by-step explanation:
The sequence of values
5 , 13, 21 , ?
The values are increasing by 8 so missing value is
? = 21 + 8 = 29
Triangle ABC is similar to triangle FGH.
What is the value of x in centimeters?
Answer:
pythagorean theorem
18
Step-by-step explanation:
Darnell took a total of 14 pages of notes during 7 hours of class. After attending 8 hours of
class, how many total pages of notes will Darnell have in his notebook? Assume the
relationship is directly proportional.
pages
Answer:
16 pages
Step-by-step explanation:
1 hour= 2 pages written of notes
so 8 hours of notes = 8x2=16 pages
Which of these r-values represents the weakest correlation
A 0.6
B 0.3
C 0.5
D 0.4
Answer:
B
Step-by-step explanation:
0.3 is weakest
Find the area of the polygon.
Answer:
Area = 15 square cm
Step-by-step explanation:
[tex]Area = base \times height\\\\[/tex]
[tex]= 5 \times 3\\= 15 \ cm^2[/tex]
area =15cm²
Answer:
Solution given:
Area of a given polygon [parallelogram]=
base*height=5*3=15cm²
to the girl who helped me <3 please help me again.
Answer:
x = 11
Step-by-step explanation:
<4 and <5 are alternate interior angles and alternate interior angles are equal when the lines are parallel
<4 = <5
7x+5 = 5x+27
Subtract 5x from each side
7x+5-5x = 5x+27-5x
2x+5 = 27
Subtract 5 from each side
2x+5-5=27-5
2x =22
Divide by 2
2x/2 =22/2
x =11
This is correct? I need help please :(
Answer:
well, we only no that
2l + 2w is 80
(lengths and widths on all 4 sides
and that w * l is A
so the function should be w times what's left for l, but also expressed by something with w
2l + 2w = 80 | -2w
2l = 80 -2w | devide by 2
l = 80 - w
now we can substitute l in
A = w * l
so that we only need w's
A(w) = w * (80-w)
for any w it will give us the area, makes only sense for 0<w<80