Answer:
Step-by-step explanation:
A. $154.20 * 0.65 = $100.23
B. $91.96 * 0.70 = $64.37
C. $47.60 * 0.75 = $35.70
D. $84.60 * 0.80 = $67.68
5. 5(x + 10) + x
A. 6x + 15
B.5x + 15
C.6x + 50
D.4x – 50
Answer: C
Step-by-step explanation:
The first bookshelf in the fantasy section of a library can hold 1,635 books. The bookshelf has 5 shelves. Each shelf can hold the same number of books. How many books can each shelf hold? Write an equation to help solve this problem.
The number of books that each shelf hold will be 326 per shelf.
How many books can each shelf hold?From the information, the first bookshelf in the fantasy section of a library can hold 1,635 books, the bookshelf has 5 shelves and each shelf can hold the same number of books.
Let the number of books in each shelf be x.
Therefore, the equation will be:
(5 × x) = 1635
5x = 1635
Divide
x = 1635 / 5
x = 327
The number of books is 327.
Learn more about equations on:
brainly.com/question/2972832
#SPJ1
Help help math pelsss please please
Answer:
162 the answer i think bye have fun
Step-by-step explanation:
The zero of this function is 3 . What do you think "zero of a function" means?
The zeros of a function are the values of x that, when evaluated in the function, make the output of the function to be zero.
What doe the "zero of a function" means?A function is written in general form as y = f(x)
That notation says that, when we use the input "x" in a given function, that function "transforms" that input x into an output "y"
So y = f(x) is the value that the function takes for the input x.
A zero is an input of the function such that:
0 = f(x)
So the zeros are the inputs that have an output of zero, in this case you know that the function has a zero at 3, and as you can see, when x = 3, the function intercepts the x-axis, which is the axis defined by y = 0.
Learn more about the zeros of a function:
https://brainly.com/question/65114
#SPJ1
Percy spent money on new shirts for the summer each shirt cost $7 he spent $42 all together how many shirts did Percy buy
what does .47+.28 equal to
Answer:
0.75
Step-by-step explanation:
0.47 + 0.28 = 0.75
Answer:.75 or;3/4
Step-by-step explanation: .47 +.28=.75
how do i express x^2-3x into the form of (x-m)^2+n. I will give brainliest to correct answer
Step-by-step explanation:
let's simply do the multiplications and then compare with the original.
(x-m)² + n
right ?
or is it
\( {(x - m)}^{2 + n} \)
let's go for the first.
x² - 2mx + m² + n = x² - 3x
-2mx + m² + n = -3x
fun there we see two things :
-2m = -3
m = 3/2
and
m² + n = 0
(3/2)² = -n
9/4 = -n
n = -9/4
so our transformed expression looks like
(x - 3/2)² - 9/4
Define a direct variation equation
Solve for x.
6/9=x/12
Simplify as much as possible
- - - - - - - - - - - - - - - - - - - - - - - -
Find common denominators :)
6/9
Divide by 4 (the common factor of 9 and 12)
2/3
Multiply by 4
8/12
8/12 = 8/12
Now, simplify.
2/3
- - - - - - - - - - - - - - - - - - - - - - - -
Have a great day/night! :)
(Please consider leaving a Brainliest!)
~pinetreee
Is X plus 3Y squared equals -6 linear
Answer:
no, it does not equal -6
Step-by-step explanation:
Answer:
No
Step-by-step explanation:
Sam has 60 toy cars. 20% of the cars are red.
How many cars are red?
A. 12
B. 20
C. 48
D. 40
Answer:
A
Step-by-step explanation:
20% of 60 is 12
Hope that helps
Find the edge length s of the cube.
Volume = 216 in.3
The edge length is
inches.
Answer:
The length for the edge should be 6.
Step-by-step explanation:
Hope this helps
Five computer program modules are ranked as M1, M2, M3, M4, and M5 according to the ascending order of effort required to debug them, among which M1 requires the least amount of effort and M5 requires the most amount of effort. A software engineer must randomly select three program modules from the five modules. He (or she) does not know the amount of effort each module costs when selecting.
A) What is the sample space?
B) Let A be the event that one selected module requires the least amount of effort. List the outcomes in A, and calculate the probability of A.
C) Let B be the event that the one selected module requires the most effort. List the outcomes in B, and calculate the probability of B.
D) List the outcomes in the compound event AnB, and calculate the probability of it.
E) List the outcomes in the compound event AUB, and calculate the probability of it.
F) List the outcomes in the compound event AnB, and calculate the probability of it.
G) List the outcomes in the compound event AUB, and calculate the probability of it.
H) Are events A and B mutually exclusive? Explain why?
Answer:
Follows are the solution to this question:
Step-by-step explanation:
Technician selects three out of 5 systems
In C(5,3)=10ways, this can be achieved
In part a:
Space sample chooses 3 of a 5 systems
\((M_1, \ M_2,\ M_3),\)\((M_1,M_2,M_4) \ (M_1,M_2,M_5) \ (M_1,M_3,M_4) \ (M_1,M_3,M_5),\)\((M_1,M_4,M_5) \ (M_2,M_3,M_4)\ (M_2,M_3,M_5) \ (M_2,M_4,M_5),(M_3,M_4,M_5)}\)
In point b:
A =MODULE WHICH INCLUDE M1 minimal amount of effort
Outcomes probable =
\((M_1,M_2,M_3),\ (M_1,M_2,M_4) \ (M_1,M_2,M_5)\ (M_1,M_3,M_4)\\\\(M_1,M_3,M_5),\ (M_1,M_4,M)5)\ =\ 6\)
\(\to p(A)=\frac{6}{10}\\\\\)
\(=0.6\)
In point c:
B = highest effort that is \(M_5\)
Potential result=
\((M_1,M_2,M_5) \ (M_1,M_3,M_5) \ (M_2,M_3,M_5)\(M_2,M_4,M_5) \\ (M_2,M_4,M_5), \ (M_3,M_4,M_5) \ =\ 6 \\\\\)
\(\to B= \frac{6}{10} \\\\\)
\(=0.6\)
\(\to P(B)=10\)
In point d:
\(\to \ A \ intersection \ B=(M_1,M_2,M_5), \ (M_1,M_3,M_5) \ ,(M_1,M_4,M_5)\)
\(\to A (A \ intersection \ B) = \frac{3}{10} \\\\\ \ \ \ \ \\)
\(=0.3\)
In point e:
\(\to (A \cup B) = (M_1,M_2,M_3),\ (M_1,M_2,M_4)\ (M_1,M_2,M_5)(M_1,M_3,M_4)\ (M_1,M_3,M_5), \\ (M_1,M_4,M_5)\ (M_2,M_3,M_5) \ (M_2,M_4,M_5),(M_3,M_4,M_5) \ = \ 9\)\(\to P(A \cap B)=\frac{9}{10}\)
\(= 0.9\)
In point f:
\(\to (A\cap B) = \frac{3}{10}\)
\(= 0.3\)
In point g:
\(\to (A \cup B) = \frac{7}{10}\)
\(=0.7\)
In point h:
\(\to p(A \cap B) = 0.3 \neq 0\)
In western music, an octave is divided into 12 pitches. For the film Close Encounters of the Third Kind, director Steven Spielberg asked composer John Williams to write a five-note theme, which aliens would use to communicate with people on Earth. Disregarding rhythm and octave changes, how many five-note themes are possible if no note is repeated?
Answer:
This should be a permutation
Step-by-step explanation:
P (n, r) = n!/(n-r)!
P (12,5) = 12!/(12-5)!
P (12,5) = 12!/7!
P(12,5) = 95040
A relationship is represented by the equation y = x - 12 which of the following tables best represent the equation
A table that best represent the equation include the following: H. table H.
How to determine the table that best represent the equation?In order to determine the table that best represent the equation, we would have to substitute each of the values of x (x-values) into the linear function and then evaluate as follows;
When the value of x = 1 in table F, the linear function is given by;
y = x - 12
y = 1 - 12
y = -11 (False).
When the value of x = 0 in table G, the linear function is given by;
y = x - 12
y = 0 - 12
y = -12 (True).
When the value of x = 2 in table G, the linear function is given by;
y = x - 12
y = 2 - 12
y = -10 (False).
When the value of x = 0 in table H, the linear function is given by;
y = x - 12
y = 2 - 12
y = -10 (True).
When the value of x = 4 in table H, the linear function is given by;
y = x - 12
y = 4 - 12
y = -8 (True).
When the value of x = 6 in table H, the linear function is given by;
y = x - 12
y = 6 - 12
y = -6 (True).
Read more on linear function here: brainly.com/question/27325295
#SPJ1
Missing information:
The question is incomplete and the complete question is shown in the attached picture.
Question 13
Which of the following best describes the rule for the input-output table
below?
O A P(h) -
B. P(b)-4+h
C. P(h)-4.h
D. P(h)-3-h
h
157
9
11
13
115
17
P(h)
20
28
36
8831
44
52
60
68
G
The linear function that describes the data in the table for this problem is given as follows:
C. P(h) = h + 11.
How to define a linear function?The slope-intercept equation for a linear function is presented as follows:
y = mx + b
In which:
m is the slope.b is the intercept.From the table, we have that when h increases by 1, P(h) also increases by 1, hence the slope m is given as follows:
m = 1/1 = 1.
Hence:
P(h) = h + b.
When h = 4, P(h) = 15, hence the intercept b is given as follows:
15 = 4 + b
b = 11.
Hence the rule is:
P(h) = h + 11.
More can be learned about linear functions at https://brainly.com/question/15602982
#SPJ1
Pls I don't understand
The unit rate of the relationship will be 10/3. The correct option is C.
The given equation is,
y = 10/3x + 8
The general form of an equation of the line is,
y = mx + c
here, the slope will be 10/3
Slope refers to the steepness or incline of a line on a graph. It is a measure of how much the dependent variable changes for a given change in the independent variable.
The slope of a line is represented by the ratio of the change in the y-axis (vertical) to the change in the x-axis (horizontal) between any two points on the line. It can also be interpreted as the rate of change of the dependent variable with respect to the independent variable.
A positive slope indicates an upward trend, while a negative slope indicates a downward trend. The slope of a line is often denoted by the letter m.
The unit relationship will be 10/3.
To know more about slope follow
https://brainly.com/question/19131126
#SPJ1
A family’s cell phone plan costs $65per month for 1,100 minutes and 35 cents per minute over the limit this month the family
Answer:
0.35x +65=1100+x
Step-by-step explanation:
Hey ya didnt get the question here
so I creat a equation that ya can use
let x be the number of the phone calls Min that is MORE THAN 1100 min
0.35x +65=1100+x
Hope this help ya
<3
Red
What two numbers add to 7 and multiply to -44
Answer:
The numbers are 11 and -4
Step-by-step explanation:
Given
Let the two numbers be \(x\) and \(y\)
such that:
\(x + y = 7\)
\(x*y = -44\)
Required
Find x and y
Make y the subject in: \(x + y = 7\)
\(y = 7 - x\)
Substitute \(y = 7 - x\) in \(x*y = -44\)
\(x(7-x) = -44\)
Open bracket
\(-x^2 +7x = -44\)
Rewrite as:
\(x^2 -7x -44=0\)
Expand
\(x^2 +4x-11x -44=0\)
Factorize
\(x(x +4)-11(x +4)=0\)
Factor out x + 4
\((x -11)(x +4)=0\)
Solve for x
\(x =11; x =-4\)
Recall that:
\(y = 7 - x\)
So:
\(y = 7-11 = -4\)
or
\(y = 7--4 = 11\)
Find the unit rate (constant of proportionality) of the distance traveled.
Number of hours
0.25 1.5 2.5 3
Distance traveled (km) 3 18 30 36
Answer:
12.
Step-by-step explanation:
if to re-write the given condition, then
\(\frac{3}{0.25} =\frac{18}{1.5} =\frac{30}{2.5} =\frac{36}{3} ;\)
it is clear, the required constant is 12 (12 per hour).
d. If you got your 60% discount and opened up the card for an additional 20%, what is the actual % discount you would receive?
Answer:
The actual discount is a 68% discount.
Step-by-step explanation:
Remember that if something has a price P, and you have a discount of the X%, the new price will be:
P' = P - P*(X%/100%) = P*(1 - X%/100%)
Here we first have a 60% discount, then if the initial price is P, the new price is:
P' = P*(1 - 60%/100%) = P*(1 - 0.6)
Now we have an additional 20% discount (this applies to the new price)
then the final price is:
P'' = P'*(1 - 20%/100%) = P'*(1 - 0.2) = P*(1 - 0.6)*(1 - 0.2)
We want to rewrite this as something like:
P'' = P*(1 - k)
Let's do this:
P'' = P*(1 - 0.6)*(1 - 0.2) = P*(1 - 0.2 - 0.6 + 0.2*0.6)
= P*(1 - 0.8 + 0.12) = P*(1 - 0.68)
And this can be as:
P'' = P*(1 - 68%/100%)
Then the actual discount is a 68% discount.
(EASY) find the angle - more info in the picture
Answer:
86°
Step-by-step explanation:
Angle addition postulate means add.
KLB + BLM = KLM
26° + 60° = 86°
Answer:
you just do 26 + 60 and you get 86 because the measure of the angle is the two angles added together.
HELP PLEASE IM BAD AT MATH ILL GIVE 20 POINTS
The pyramid below has a rectangular base and E is directly above A
The volume of of the pyramid is 600cm^3
Work out the height of the pyramid,AE
Answer:
20cm
Step-by-step explanation:
icba to
The base of the pyramid is a rectangle. Then the height of the pyramid will be 20 centimeters.
What is the volume of the pyramid?Let h be the height of the pyramid, l be the slant height and A be the base area of the pyramid.
Then the volume of the pyramid will be
Volume = (1/3) × A × h
The slant height is given as.
l² = (half of the side)² + h²
The volume of the pyramid is 600 cubic cm. Then the height of the pyramid will be given as,
600 = (1/3) x 18 x 5 x h
600 = 30h
h = 600 / 30
h = 20 cm
The base of the pyramid is a rectangle. Then the height of the pyramid will be 20 centimeters.
More about the volume of the pyramid link is given below.
https://brainly.com/question/17615619
#SPJ2
15 POINTS
Using Pythagoras' theorem, calculate the length
of XY.
Give your answer in centimetres (cm) to 1 d.p.
Answer:
13.27 cm
Step-by-step explanation:
I am using (xy) to mean the length of the side xy
7^2 + (xy)^2 = 15^2
49 + (xy)^2 = 225
(xy)^2 = 225-49
(xy)^2 = 176
Side (xy) = sqrt(176) = 13.2664991614 = 13.27 cm
ashley spent $7.14 at one store and $5,24 at another store. how much money did she spend total at the two stores?
Answer:
$12.38
Step-by-step explanation:
A circle has a radius of 30 cm and a central angle that measures 312 degrees. Find the length of the arc defined by this central angle
The length of the arc defined by the central angle of 312 degrees is 26π cm.
The formula for the arc length of a circle is given by:
L = (θ/360) × 2πr
where L is the length of the arc, θ is the central angle in degrees, and r is the radius of the circle.
Substituting the given values, we get:
L = (312/360) × 2π(30)
L = (26/30) × π × 30
L = 26π cm
Therefore, the length of the arc defined by the central angle of 312 degrees is 26π cm.
To learn more on Circles click:
https://brainly.com/question/11833983
#SPJ1
find the inverse of each function
Answer:
c
Step-by-step explanation:
assume base 10
-logy = x
\( \frac{1}{ log(y) } = x\)
log base x y = 5 turns into the format x^ 5 = y
implement that to get c
Marco wants to know how much the other students in his mathematics class study. He recorded the data he collected in
the following table.
Time spent studying per week (in hours)
2.0
5.0
1.0
2.5
2.5
3.5
0.0
4.5
2.5
4.0
3.5
3.0
2.0
1.5
4.0
2.0
0.5
3.0
1.0
3.0
3.5
1.5
1. Construct a histogram for the data.
Answer:
Step-by-step explanation:
This problem has been solved! You'll get a detailed solution from a subject matter expert that helps you learn core concepts.
HELPP!!!
The area of the figure is ____ square units.
Answer:
The answer is 132 square units
Step-by-step explanation:
Cutting the shape
we have two trapeziums
A=(area of small +Area of big)Trapezium
A=1/2(3+9)8 + 1/2(9+12)8
A=1/2×12×8 + 1/2×21×8
A=12×4 + 4×21
A=48+84
A=132 square units