Answer:
Please check the explanation.
Step-by-step explanation:
Given the set W = {x, y, z}
If there are n elements in a set, then are 2ⁿ subsets.
As there are 3 elements in a set, then are 2³ or 8 subsets.
so
W = {x, y, z} has 8 subsets.
They are:
∅, {x}, {y}, {x}, {x, y}, {x, z}, {y, z}, and {x, y, z}
Please note that any subset of the set W = {x, y, z} contains all the elements which are also the elements of the set W = {x, y, z}A small business has 15 full-time employees. How many people does the small business employ if the full-time workers make up 30% of the employees the company has?
Answer:
50 employees
Step-by-step explanation:
The total number of employees the business has will have to be made up the full-time employees and part-time employees.
The number of full-time employees = 15
Let the total number of employees = x
[tex]15 = 30 percent of x[/tex]
[tex]15 = 30/100 \times x\\x=1500/30 = 50[/tex]
The company has a total of 50 employees
Write an equation of the line containing the given point and parallel to the given line.
(6,-2); 4x - 3y = 8
Answer:
y = (4/3)x − 10
Step-by-step explanation:
Rewrite in slope-intercept form.
The slope-intercept form is y = mx + b, where m is the slope and b is they-intercept.
y = mx + b
Subtract 4x from both sides of the equation.
−3y = 8 − 4x
Divide each term by −3 and simplify.
Divide each term in −3y = 8 − 4x by −3.
(−3y/−3)= (8/−3) + (−4x/−3)
Cancel the common factor of −3.
y= (8/−3) + (−4x/−3)
Simplify (8/−3) + (−4x/−3)
y= (4x/3 - 8/3)
Reorder terms.
y= 4x/3 - 8/3
Using the slope-intercept form, the slope is 4/3
m = 4/3
To find an equation that is parallel, the slopes must be equal. Find the parallel line using the point-slope formula.
Use the slope 4/3 and a given point (6, −2) to substitute for [tex]x_{1}[/tex]and [tex]y_{1}[/tex]in the point-slope form. [tex]y[/tex] − [tex]y_{1}[/tex] = [tex]m[/tex] ([tex]x[/tex] − [tex]x_{1}[/tex]) which is derived from the slope equation[tex]m=[/tex] ([tex]y_{2}[/tex]− [tex]y_{1}[/tex])/([tex]x_{2}[/tex] - [tex]x_{1}[/tex])
y − (−2) = (4/3) ⋅ (x − (6))
Simplify the equation and keep it in point-slope form.
y − (−2) = (4/3) ⋅ (x − (6))
solve for y
y = (4/3)x − 10
HELPPP!!! ALGREBRA!!!
Answer:
a
Step-by-step explanation:
What is the y-intercept when a line has a slope of 1/2 and passes
through the point (2, -1)?
Answer:
2
Step-by-step explanation:
You called this question to the right person. To find the y-intercept, you must do the formula of Point Slope (y-y1 = m (x-x1)) Since 2, is x1 and the -1 is y1, we must lay the equation out like this: y - -1 = m (x-2). Next, we must distribute the slope to the x and the 2, which would allow the x, to fit in with the slope, and the 2 to become 1 since 1/2 x 2 is 1. Now what we need to do is get rid of the -1, so what we do here is add 1. And algebra golden rule, whatever you do to one side, you must do to the other side. This would leave y = 1/2x + 2 And therefore 2 is your y-intercept, since it's at the last part of the equation.
Solve the equation. Check your solution. a/4 - 5/6= -1/2
Answer:
a= 4/3
Step-by-step explanation:
1.) Simplify both sides of the given equation:
1/4a + -5/6 = -1/2
2.) Add the 5/6 to both sides (cancels the -5/6)
1/4a + -5/6 (+5/6) = -1/2 (+5/6)
1/4a = 1/3
3.) Multiply both sides by 4 (the denominator)
4 * 1/4a = 1/3 * 4
a = 4/3
To check the solution, plug in 4/3 into a:
4/3/4 - 5/6 = -1/2
2.) Dividing fractions is also multiplication:
(4/3 * 1/4) - 5/6 = -1/2
3.) Get the difference of 1/3 and 5/6
1/3 - 5/6 = -1/2
4.) Simplify -3/6 (3 goes into 3 ONCE and into 6 TWO times)
-3/6 = -1/2
5.) Check to see if both sides match
-1/2 = -1/2
Solve for x in the parallelogram
See attachment for math work.
Judy is baking 5 cheesecakes. A recipe for one of the cheesecakes requires 1 1 2teaspoons of vanilla. Judy's bottle of vanilla contains 12 teaspoons of vanilla. After Judy bakes the 5 cheesecakes, how many teaspoons of vanilla will be left in the bottle?
Answer:4 1/2 Teaspoons of vanilla will be left in the bottle
Step-by-step explanation:
Step 1
Recipe for 1 cheesecake = 1 1/2 teaspoons of vanilla
Since she s making 5 cheesecakes, she will requite = 5 x 1 1/2 teaspoons
= 5 x 3/2= 15/2 = 7 1/2 teaspoons of vanilla.
Step 2
If a bottle of vanilla contains = 12 teaspoons of vanilla
After baking 5 cheesecakes which consumed = 7 1/2 teaspoons of vanilla
Teaspoons left of vanilla = Total teaspoons of vanilla-teaspoons of vanilla used for 5 cheesecakes= 12 - 7 1/2 =4 1/2
Therefore 4 1/2 Teaspoons of vanilla will be left in the bottle
3-⁶x (3^4 ÷ 3⁰)²
simplify
Answer:
Step-by-step explanation:
– 634302
Find the slope: (7,4) (5, 6)
Answer:
Slope = - 1
Step-by-step explanation:
(x₁ , y₁) = (7,4) & (x₂, y₂) = (5, 6)
Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
[tex]= \frac{6-4}{5-7}\\\\= \frac{2}{-2}\\\\= - 1[/tex]
The large rectangle below represents one whole.
A large rectangle with 25 equal sections, 11 of which are shaded
What percent is represented by the shaded area?
44%
I hope this helped!!!
Answer:
ummmmmmmmm 44?
Step-by-step explanation:
-5x+3y>9 help me plesese so i can grids
Answer:[tex]x<−95+3y5[/tex]
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
What is the value of this expression? 1.25 + 8.25 × 4 ÷ (4.75 + 0.75) Group of answer choices 6.91 7.25 8.75 8.95
Answer:
b
Step-by-step explanation:
Answer:
the answer is 7.25
Step-by-step explanation:
Hope this helps :)
*
Simplify the expression:
(-6p+7). -4
Answer:
I'm assuming you need to distribute. When simplified the expression is 42p-28
Step-by-step explanation:
Answer:
24p-28
Step-by-step explanation:
4/5 divided by 3/7 :))
Answer:
1.86666666667
Step-by-step explanation:
Answer:
1 13/15
Step-by-step explanation:
Meg is a veterinarian. She found that 25% of the 24 dogs she saw this week were boxers. Steve is also a veterinarian. He found that 8, or 50%, of the dogs he saw this week were boxers. Does each person need to find the part, the whole, or the percent?
Answer:
Percent
Step-by-step explanation:
lol I just got it right
Which part is the y-intercept in this equation? y=3x+9
Answer:9+3x=12x
Step-by-step explanation: first you do 9+3 then that would equal 12 and y=12 so then after that you do 12x bc you didnt use the 9+3 with x so you add the x with the 12 and that makes it 12x
Daniel's store sold 75% fewer pairs of shorts this month than last month. If the store sold 5 pairs of shorts this month, then _________ pairs of shorts were sold last month.
Answer:
EXACT ANSWER: 6.666666666667
ANSWER ROUNDED: 7
Step-by-step explanation:
lol, I can't explain well, but it's correct.
Someone help plz right answer gets to be brainliest
Lisa’s home is currently worth $150,000. When she purchased it five years ago, it was worth $180,000. Find the percent of change and classify as a percent increase or decrease. Round to the nearest tenth of a percent if necessary.
Answer:
16.7 percent decrease.
Step-by-step explanation:
Difference in value = 150,000 - 180,000
= -30,000
As a percent this = (-30,000 / 180,000) * 100
= -0.1667 * 100
= -16.67
Answer:
15.5 repating or 18.4%
Step-by-step explanation:
SORRY
Rachel signed up for a frequent-flier program. She receives 4,300 frequent-flier miles for her first round trip and 1,900 frequent-flier miles for each additional round-trip. How many frequent-flier miles will she have after 5 round-trips?
Answer: 13800 frequent-flier miles
Step-by-step explanation:
From the question, we are informed that Rachael receives 4,300 frequent-flier miles for her first round trip and 1,900 frequent-flier miles for each additional round-trip.
The number of frequent-flier miles she will she have after 5 round-trips will be:
= 4300 + 1900(5)
= 4300 + 9500
= 13800 frequent-flier miles
Please answer the following question below
Answer:
65°
Step-by-step explanation:
The tangent is perpendicular to the diameter BD therefore m‹CBR=90°-25°=65°
how do i solve this problem?
Answer:
You can use a^2+b^2=c^2;
Step-by-step explanation:
42^2+78^2=(6x-1+10x+5)^2
Answer:
3.5
Step-by-step explanation:
Triangles always equal to 180
42 + 78 + 16x + 4 = 180
124 + 16x = 180
56 = 16x
3.5 = x
pls i really need this 20 points I will give brainliest
A rectangle is shown on the coordinate grid.
On a coordinate plane, side d has points (negative 4, 3) and (0, 5), side a has points (0, 5) and (3, negative 1), side b has points (3, negative 1) and (negative 1, negative 3), and side c has points (negative 1, negative 3) and (negative 4, 3).
Which equation represents the side that is parallel to side d?
y = 2 x + 5
y = negative 2 x + 5
y = one-half x minus five-halves
y = negative one-half x minus seven-halves
Answer:
B
Step-by-step explanation:
I hope this helps!
Answer:
The correct answer is B!
Step-by-step explanation:
Slopes of Parallel and Perpendicular Lines Pre-Test Answers:
1: B 8: B
2: A, C, G 9: 1
3: C 10: B
4: A Hope this helps!
5: B
6: C
7: B
Skylar is going to invest in an account paying an interest rate of 3.5% compounded daily. How much would Skylar need to invest, to the nearest hundred dollars, for the value of the account to reach $670 in 10 years?
Answer:
$475.17
Step-by-step explanation:
Step one:
given data
rate= 3.5% = 0.035
final amount A= $670
time= 10 years
Required
The principal invest P
Step two:
A= P(1+r)^t
substitute
[tex]670=P(1+0.035)^1^0\\\\670=P(1.035)^1^0\\\\670=P*1.41[/tex]
divide by 1.41
[tex]P= 670/1.41\\\\P=475.17[/tex]
The invested principal is $475.17
Answer:
500
Step-by-step explanation:
its on delta math
You deposit $500 in an account that earns 4% simple annual interest entrance and each year is added to the principal to create a new principal find the total amount in your account after each year for three years
Answer:
first year $20 second year $20.80 Third year $21.63
Step-by-step explanation: This is for an extra money per year so after the first year that is how much extra money he gets every year.
Which quadrilateral has diagonals that are both congruent and perpendicular?
Answer:
Rhombu is the answer
Answeris rhombus
seven less than the quotient of a number and five is two
The value of the number for the expression seven is less than the quotient of a number and five is two is 45.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that a number is seven less than the quotient of a number and five is two.
The value of the unknown number will be calculated as,
x/5 - 7 = 2
x/5 = 9
x = 45
To know more about an expression follow
https://brainly.com/question/2272420
#SPJ2
3x + 5x - 1 expression
Answer:
8x - 1
Step-by-step explanation:
Combine like terms. 3x and 5x are like terms.
3x + 5x -1 = 8x - 1
I ANSWERED A AND B. I ONLY NEED THE ANSWER TO C. PLEASE HELP :(
Answer:
1.5
Step-by-step explanation:
Please correct me if I'm wrong. :)
What is the value of the function f(x) = 7x when x = 0.75? *
Answer:it is -1
Step-by-step explanation:
Answer:
5.25
Step-by-step explanation:
As per the question, we have
f(x)=7x
at x=0.75
f(0.75)=&(0.75)
f(0.75) = 7 x 75/100 (this is a fraction)
f(0.75)= 525/100 (this is a fraction)
f(0.75)=5.25
Hence, the value of f(x)=7x at x=0.75 is 5.25