Answer:
57 - 25y
Step-by-step explanation:
when 15 was distributed it should be '45 - 15y' instead of '45 + 15y'
An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
The correct expression is
12 + 15(3 - y) - 10y
12 + 15 x 3 - 15y - 10y
12 + 45 - 15y - 10y
57 - 20y
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Step 1:
12 + 15(3 - y) - 10y
Step 2:
12 + 15 x 3 - 15y - 10y
Step 3:
12 + 45 - 15y - 10y
Step 4:
57 - 20y
Now,
We see that,
There was an error in step 2 where instead of -15y, +15y was written.
Thus,
The correct expression is
12 + 15(3 - y) - 10y
12 + 15 x 3 - 15y - 10y
12 + 45 - 15y - 10y
57 - 20y
Learn more about expressions here:
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Please please help help
Answer:
17 players
Step-by-step explanation:
6 people scored 2
8 people scored 3
3 people scored 4
at a clothing store, levi's jeans are on sale for 40% off. sales tax is 7%. which expression will calculate the total cost of levi jeans with an original price of x?
Given:
Discount = 40%
Sales tax = 7%
To find:
The total cost of levi jeans with an original price of x.
Solution:
Let x be the original price of the jeans. Then the price after 40% discount is
[tex]Price=x-40\%\text{ of }x[/tex]
[tex]Price=x-\dfrac{40}{100}x[/tex]
[tex]Price=x-0.4x[/tex]
[tex]Price=0.6x[/tex]
The price after 7% of sales tax.
[tex]Price=0.6x+7\%\text{ of }0.6x[/tex]
[tex]Price=0.6x+\dfrac{7}{100}\times 0.6x[/tex]
[tex]Price=0.6x+0.042x[/tex]
[tex]Price=0.642x[/tex]
Therefore, the total cost of the levi jeans with an original price of x is represented by the expression 0.642x.
AE←→ is a straight line in the diagram.
What is the sum of the measures that represent the measures of each angle if m∠ABC=2x°, m∠CBD=3x°, and m∠EBD=4x°?
What is the measure of each angle?
Explain how an equation can be written to find m∠CBD.
Answer:
hwqvh bjvs bhs ebf
Step-by-step explanation:
How many }2 /3 cups servings are in a 4 cup container of food?
Answer 83
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
4 / [tex]\frac{2}{3}[/tex] = 6
Somebody help me with this?
Answer:
2
Step-by-step explanation:
The solutions of a quadratic graph are the x-intercepts. As you can see from the graph, the only place that it intercepts the x axis is at 2, so the solution is 2.
Jake has 3.5 hours before bedtime he must spend 2 hours doing homework the rest of his time will be spent doing puzzles it takes Jake 1/2 hour to complete each puzzle which equation models the number of puzzles P jake can complete before bedtime
3.5 = 2 - (1/2)p
(1/2)p+ 2 = 3.5
3.5 + 2 = (1/2)p
(1/2)p - 2 = 3.5
Answer:
(1/2)p+2=3.5
Step-by-step explanation:
1/2 is hours he spends doing work p would be the variable for how many puzzles he can do plus the 2 hours for homework to equal 3.5 hours in all.
A ship caption is mapping
Answer this correctly with an explanation I’ll give u brainalist + 10 points
Answer:
option D
Step-by-step explanation:
Angle ADF and Angle FDE
ADF+ FDE
Answer:
D
Step-by-step explanation:
If y = 0.5x + 1 and x = 2, what Is y?
A rocket is launched from a tower. The height of the rocket, y in feet, is related to the
time after launch, x in seconds, by the given equation. Using this equation, find the
maximum height reached by the rocket, to the nearest tenth of a foot.
y = -16x2 + 136x + 57
Answer:
Maximum height = 346 feet
Step-by-step explanation:
Given that,
The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation as follows :
[tex]y = -16x^2 + 136x + 57[/tex] .....(1)
We need to find the maximum height reached by the rocket. For maximum height,
Put dy/dt = 0
So,
[tex]\dfrac{d}{dt}( -16x^2 + 136x + 57)=0\\\\-32x+136=0\\\\x=\dfrac{136}{32}\\\\x=4.25[/tex]
No, put x = 4.25 in equation (1).
[tex]y = -16(4.25)^2 + 136(4.25)+ 57\\\\y=346\ feet[/tex]
So, the maximum height reached by the rocket is equal to 346 feet.
Find the area of the parallelogram.
The area of the parallelogram is [a] in2. please help
Answer: 117in²
Step-by-step explanation:
area of a parallelogram= bh (base times height)
13 times 9 = 117in²
A car dealer sells four model types: A,B,C,D. On a given week, this dealer sold 10 cars of model A, 5 of model B, 8 of model C and 3 of model D. The selling prices of each automobile are respectively $12,500, $11,800, $15,900 and $25,300. Represent the data using matrices and use matrix multiplication to find the total revenue.
me Q i did not know somebody Help My frann
Write the slope of a line that is parallel to the following line:
Answer:
y = 1/5x + 3
Step-by-step explanation:
To have a parralel line to another line, have the slopes of the lines be the same, just change the y- intecept. HOPE THIS HELPS!
Solve for x...............
Answer:
x=17
Step-by-step explanation:
Hello There!
The shown figure is a 6 sided figure and if you didn't know the interior angles of a 6 sided figure add up to equal 720
so
720=110+8x-1+5x+36+116+7x+19+6x-2
now we solve for x
step 1 combine like terms
110-1+36+116+19-2=278
8x+5x+7x+6x=26x
now we have
720=278+26x
step 2 subtract 278 from each side
720-278=442
we now have
442=26x
step 3 divide each side by 26
442/26=17
we're left with
x=17
13 The Lozano's chartered a boat over the holiday
weekend. The cost for the day was $350 plus the
6.5% sales tax. They also decided to tip their
guide 25% of the original cost of the boat rental.
What is the total amount they paid?
Answer:
$460.25
Step-by-step explanation:
350 + .065(350) + .25(350)
= 350 + 22.75 + 87.5
$460.25
round the number 24.9652 to 1 decimal place
Answer: 25.0
Step-by-step explanation:
25
Answer:
25
Step-by-step explanation:
0.06 rounds up into the .9 which is now a 1
What type of number is v5?
Choose all answers that apply:
1. Whole number
2. Integer
3. Rational
4. Irrational
PLEASE HELP ME ILL GIVE 10 POINTS
An angle measures 60 degree it is divided into 5 angles with equal measures. What is the measure of those angles
Answer:
Each part of the angle would measure 12 degrees
Step-by-step explanation:
Does this graph represent a function? Why or why not?
-10 -884
O A. Yes, because it passes the vertical line test.
O B. Yes, because it passes the horizontal line test.
C. No, because it is not a straight line.
D. No, because it fails the vertical line test.
Which phrase best describes the relationship indicates by the scatter plotting?
Answer:B
Step-by-step explanation:
PLEASE HELP!!!!!! ILL GIVE BRAINLIEST *EXTRA 40 POINTS** !! DONT SKIP :((
Answer:
Yes
Step-by-step explanation:
(3, 2) is a solution to the given system of linear equations.
x - 8y = 3 - 8*2 = 3 - 16 = - 13
16x - 16y = 16(x - y) = 16( 3 - 2) = 16*1 = 16
In the diagram shown , CD =7,DB=8, AE=5,m
Answer:
.
Step-by-step explanation:
Answer:
I don't understand the question
Step-by-step explanation:
can you help me with my question The strange occurrences reported by the chambermaid who cleaned Dr. Heidegger's den (In Paragraph 3 of "Dr. Heidegger's Experiment") are examples of A. personification. B. symbolism C. elements of gothic literature, b or c
A + A =2,A + B =3,A + B × 2 =??..only for geniuses
Answer: 5
Step-by-step explanation:
Show how you found the slope and y-intercept
Answer:
Slope: [tex]\frac{5}{2}[/tex]
y-intercept: 0
Step-by-step explanation:
First, find the slope. Use two points given to you. In this case, I will use the following:
(x₁ , y₁) = (2 , 5)
(x₂ , y₂) = (4 , 10)
Use the following equation:
slope (m) = [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex]
Plug in the corresponding numbers to the corresponding variables:
slope (m) = [tex]\frac{10 - 5}{4 - 2}[/tex] = [tex]\frac{5}{2}[/tex]
Note the slope intercept form:
y = mx + b
y = (x , y)
m = slope
x = (x , y)
b = y-intercept
Plug in the slope into m for the equation:
[tex]y = \frac{5}{2} x + b[/tex]
Choose a point to use to find b. In this case, I will use (2 , 5). Plug in 2 for x, and 5 for y:
[tex]5 = \frac{5}{2}(2) + b[/tex]
Simplify. Isolate the variable, b. Note the equal sign, what you do to one side, you do to the other:
[tex]5 = \frac{5}{2}(2) + b\\5 = 5 + b\\5 (-5) = 5 (-5) + b\\b = 5 - 5\\b = 0[/tex]
Y-intercept: 0
Three times each day, a quality engineer samples a component from a recently manufactured batch and tests it. Each part is classified as conforming (suitable for its intended use), downgraded (unsuitable for the intended purpose but usable for another purpose), or scrap (not usable). An experiment consists of recording the categories of the three parts tested in a particular day.
a. Let A be the event that all the parts fall into the same category. List the outcomes in A.
b. Let B be the event that there is one part in each category. List the outcomes in B.
c. Let C be the event that at least two parts are conforming. List the outcomes in C.
d. List the outcomes in A⋂C
e. List the 27 outcomes in the sample space.
f. List the outcomes in A U B.
g. List the outcomes in A⋂Cc
h. List the outcomes in Ac⋂C.
i. Are events A and C mutually exclusive? Explain.
j. Are events B and C mutually exclusive? Explain.
Answer:
a. Outcomes of A = { (C,C,C) , (D,D,D), (S,S,S) }
b. Outcomes of B = { (C,D,S),(C,S,D),(D,C,S),(D,S,C),(S,C,D),(S,D,C) }
c. Outcomes of C = { (C,C,C),(C,C,D),(C,C,S),(C,D,C),(C,S,C),(D,C,C),(S,C,C) }
d. Outcomes of A⋂C = { (C,C,C) }
e. Outcomes of Sample space = { (C,C,C), (C,C,D), (C,C,S), (C,D,C), (C,D,D), (C,D,S), (C,S,C), (C,S,D), (C,S,S), (D,C,C), (D,C,D),(D,C,S), (D,D,C), (D,D,D), (D,D,S), (D,S,C), (D,S,D), (D,S,S), (S,C,C), (S,C,D), (S,C,S), (S,D,C), (S,D,D), (S,D,S), (S,S,C), (S,S,D), (S,S,S) }
f. Outcomes of A U B = { (C,C,C) , (D,D,D), (S,S,S), (C,D,S),(C,S,D),(D,C,S),(D,S,C),(S,C,D),(S,D,C) }
g. Outcomes of A⋂[tex]C^{c}[/tex] = { (D,D,D), (S,S,S) }
h. Outcomes of [tex]A^{c}[/tex]⋂C = {(C,C,D),(C,C,S),(C,D,C),(C,S,C),(D,C,C),(S,C,C)}
i. Events A and C are not mutually exclusive
j. Events B and C are mutually exclusive
Step-by-step explanation:
Given - Three times each day, a quality engineer samples a component
from a recently manufactured batch and tests it. Each part is
classified as conforming (suitable for its intended use),
downgraded (unsuitable for the intended purpose but usable for
another purpose), or scrap (not usable). An experiment consists
of recording the categories of the three parts tested in a particular
day.
To find - a. Let A be the event that all the parts fall into the same
category. List the outcomes in A.
b. Let B be the event that there is one part in each category.
List the outcomes in B.
c. Let C be the event that at least two parts are conforming.
List the outcomes in C.
d. List the outcomes in A⋂C
e. List the 27 outcomes in the sample space.
f. List the outcomes in A U B.
g. List the outcomes in A⋂[tex]C^{c}[/tex]
h. List the outcomes in ⋂C.
i. Are events A and C mutually exclusive? Explain.
j. Are events B and C mutually exclusive? Explain.
Proof -
Let
Conforming part = C
Downgraded part = D
Scrap part = S
a.)
Given , Let A be the event that all the parts fall into the same category.
Outcomes of A = { (C,C,C) , (D,D,D), (S,S,S) }
b.)
Given, Let B be the event that there is one part in each category.
Outcomes of B = { (C,D,S),(C,S,D),(D,C,S),(D,S,C),(S,C,D),(S,D,C) }
c.)
Given, Let C be the event that at least two parts are conforming.
Outcomes of C = { (C,C,C),(C,C,D),(C,C,S),(C,D,C),(C,S,C),(D,C,C),(S,C,C) }
d.)
Outcomes of A⋂C = { (C,C,C) }
e.)
Outcomes of Sample space = { (C,C,C), (C,C,D), (C,C,S), (C,D,C), (C,D,D), (C,D,S), (C,S,C), (C,S,D), (C,S,S), (D,C,C), (D,C,D),(D,C,S), (D,D,C), (D,D,D), (D,D,S), (D,S,C), (D,S,D), (D,S,S), (S,C,C), (S,C,D), (S,C,S), (S,D,C), (S,D,D), (S,D,S), (S,S,C), (S,S,D), (S,S,S) }
f.)
Outcomes of A U B = { (C,C,C) , (D,D,D), (S,S,S), (C,D,S),(C,S,D),(D,C,S),(D,S,C),(S,C,D),(S,D,C) }
g.)
Outcomes of [tex]C^{c}[/tex] = { (C,D,D), (C,D,S), (C,S,D), (C,S,S), (D,C,D),(D,C,S), (D,D,C), (D,D,D), (D,D,S), (D,S,C), (D,S,D), (D,S,S), (S,C,D), (S,C,S), (S,D,C), (S,D,D), (S,D,S), (S,S,C), (S,S,D), (S,S,S) }
Outcomes of A⋂[tex]C^{c}[/tex] = { (D,D,D), (S,S,S) }
h.)
Outcomes of [tex]A^{c}[/tex] = {(C,C,D), (C,C,S), (C,D,C), (C,D,D), (C,D,S), (C,S,C), (C,S,D), (C,S,S), (D,C,C), (D,C,D),(D,C,S), (D,D,C), (D,D,S), (D,S,C), (D,S,D), (D,S,S), (S,C,C), (S,C,D), (S,C,S), (S,D,C), (S,D,D), (S,D,S), (S,S,C), (S,S,D), }
Outcomes of [tex]A^{c}[/tex]⋂C = {(C,C,D),(C,C,S),(C,D,C),(C,S,C),(D,C,C),(S,C,C) }
i.)
As we two that Two events A and C are mutually exclusive iff A ∩ C = ∅
Now,
A ∩ C = { (C,C,C) }
⇒Events A and C are not mutually exclusive.
j.)
As we two that Two events B and C are mutually exclusive iff B ∩ C = ∅
Now,
B ∩ C = ∅
⇒Events B and C are mutually exclusive.
A store is advertising a 40% off sale. Find the new price of a pair of boots that were originally marked $149.00.
Answer:
89.4
Step-by-step explanation:
Okay well if 149=100% and there is a 40% we just have to find 60% and to do that we just multiply 149 by 0.60 to get 89.4
149*0.60=89.6
A locker door is 13 inches wide by 27 inches tall. A company will use a scale factor of 2.5 to change the dimensions
of the door. What will be the new height of the locker door?
Answer:67.5
Step-by-step explanation:The question asked the HEIGHT. So multiply the scale factor (2.5) and the inches tall (27).
4. What is the circumference of a circle whose area is 81π cm squared?
Step-by-step explanation:
Let us assume R be the radius of circle We know that, area of circle = πR2 81πr2 = πR2 R = √81 r R = 9r Circumference = 2 πr = 2 π (9r) = 18πr
Which graph shows a linear function?
Answer:
None of the above...
Step-by-step explanation:
The first one is a cubic function and the v-shaped one is an absolute value function.
Answer:
It is the 2nd graph. The graph that passes through x=3 and y=3.
Step-by-step explanation:
Can someone please help
Answer:
5y + 8
and
8y +5 are the same solutions.