Which are equivalent expressions?
Check all that are true.
A) a + b + c = 3abc
B) 4x + 8y = 2(2x + 4y)
C) 4x + 8y = 4(x + 2y)
D) 4x + 8y + 12z = 4(x + 2y + 3z)
E) 5x + 10y = 5(x + 2y)
Answer:
B) 4x + 8y = 2(2x + 4y)
C) 4x + 8y = 4(x + 2y)
D) 4x + 8y + 12z = 4(x + 2y + 3z)
E) 5x + 10y = 5(x + 2y)
Step-by-step explanation:
We would assume a value for the variables a, b, c, x, y and z.
Let x, a = 1
Let y, b = 2
Let z, c = 3
A) a + b + c = 3abc
When a = 1, b = 2 and c = 3
Substituting into the above equation, we have;
1 + 2 + 3 = 3(1*2*3)
6 ≠ 3(6)
6 ≠ 18 (not equivalent)
B) 4x + 8y = 2(2x + 4y)
When x = 1 and y = 2
Substituting into the above equation, we have;
4(1) + 8(2) = 2(2*1 + 4*2)
4 + 16 = 2(2 + 8)
20 = 2(10)
20 = 20 (equivalent expression)
C) 4x + 8y = 4(x + 2y)
When x = 1 and y = 2
Substituting into the above equation, we have;
4(1) + 8(2) = 4(1 + 2*2)
4 + 16 = 4(1 + 4)
20 = 4(5)
20 = 20 (equivalent expression).
D) 4x + 8y + 12z = 4(x + 2y + 3z)
When x = 1, y = 2 and z = 3
Substituting into the above equation, we have;
4(1) + 8(2) + 12(3) = 4(1 + 2*2 + 3*3)
4 + 16 + 36 = 4(1 + 4 + 9)
56 = 4(14)
56 = 56 (equivalent expression).
E) 5x + 10y = 5(x + 2y)
When x = 1 and y = 2
Substituting into the above equation, we have;
5(1) + 10(2) = 5(1 + 2*2)
5 + 20 = 5(1 + 4)
25 = 5(5)
25 = 25 (equivalent expression).
Someone help me please!
Answer:
here's the answerhope this helpsAnswer:
x = 120/29
Step-by-step explanation:
-1/6(x + 18) + 1/5(x + 5) = x - 6
-1/6x - 3 + 1/5x + 1 = x - 6
-1/6x + 1/5x + 1 - 3 = x - 6
-1/6x + 1/5x - 2 = x - 6
-5/30 + 6/30x = x - 6 + 2
1/30x = x - 4
1/30x - x = -4
-29/30x = -4
-29/30x • 30/29 = -4 • 30/29
-x = -4/1 • 30/29
-x = -120/29
-x/-1 = 120/29/-1
x = 120/29
Which of the following is an exponential model that shows
an initial investment of $200 dwindling by 3% annually.
A. a(t) = 200(1+0.03)
B. a(t)= 200(1 – 0.03)
C. a(/) = 200(1-0.3)
D. alt)= 200(1-3)
Answer:
Option A. a(t) = 200(1+0.03)
Step-by-step explanation:
Given data
principal P= $200
rate r= 3%
time t= 1 year
Required
The final amount A
We know that the expression for the simple interest is given as
A=P(1+rt)
so the equivalent expression is
A. a(t) = 200(1+0.03)
What is the slope of the two points? (-2,7) (-2,5)
Answer:
-1/2
Step-by-step explanation:
y2 - y1
----------
x2 - x1
https://freegiftcards.co/21PJNU
What property does the following equation show? 5+7+9=7+5+9
Answer:
Commutative property of addition
Step-by-step explanation:
The commutative property of addition says that changing the order of addends does not change the sum.
t + 50 = 130 so what is t
Answer:
t + 50 = 130t + 50 _ 50 = 130-50t = 80:. t is 80Step-by-step explanation:
I hope it helps ❤❤What is the slope of the graph of y = 14x – 17?
A. -17
D. 14
Answer:
Slope is 14
Step-by-step explanation:
prove me wrong
Being timed so please be fast
Aeronautical researchers have developed three different processes to pack a parachute. They want to compare the different processes in terms of time to deploy and reliability. There are 1,200 objects that they can drop with a parachute from a plane. Using a table of random digits, the researchers will randomly place the 1,200 items into three equally sized treatment groups suitable for comparison.
How should the items be labeled to select the process groups using a table of random digits?
A 1–3
B 1–1200
C 0000–1200
D 0000–1199
Answer:
0000–1199
Step-by-step explanation:
Edge 2020/2021
500 Bhadgaule caps bought for Rs. 200000 in Nepali market are sold in Britain after paying
5% export tax then 150% profit was made. Find the selling price of each Cap in Pound Sterling.
[£ 1 = Rs. 155.63]
Answer:
Selling price of each cap = £6.75 (Approx.)
Step-by-step explanation:
Given:
Number of caps = 500
Cost of caps = Rs. 200,000
Export tax = 5%
Profit = 150%
£ 1 = Rs. 155.63
Find:
Selling price of each cap
Computation:
Cost of 1 cap = 200,000 / 500
Cost of 1 cap = Rs 400
After Add export tax = 400 + 400(5%)
After Add export tax = Rs 420
After profit = 420 + 420(150%)
After profit = Rs 1050
Selling price of each cap = 1,050 / 155.63
Selling price of each cap = £6.75 (Approx.)
Twenty-eight girls and thirty five boys signed up for the Field Day relay race. Each team needs to have a equal number of girls and boys on it.
What is the greatest number of teams possible? ___
How many girls will be on each team? ___
How many boys will be on each team? ___
very urgent! i'd love if you could answer this for me :3
Answer:
The greatest number of teams is 4, with each having 7 boys and 7 girls. There is a remainder of 7 boys.
Step-by-step explanation:
Question 5
1 pts
Jake is going to call one person from his contacts at random. He has 30 total contacts. 16 of those contacts
are people he met at school.
What is P(call a person from school)?
If necessary, round your answer to 2 decimal places.
Previous
Answer:
53.33% probability he calls a person from school.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
What is P(call a person from school)?
He has 30 total contacts, of which 16 are from school. So
[tex]P = \frac{16}{30} = 0.5333[/tex]
53.33% probability he calls a person from school.
If $120.99 is charged for 654 units of electricity
used, find the cost of one unit of electricity,
plz help me solving this question step by step this is important for me
Answer:
The cost of one unit of electricity is $0.185
Step-by-step explanation:
Amount charged = $120.99
Units of electricity used = 654
The cost of a unit of electricity can be determined by dividing the amount charged by the number of units used.
So that,
cost of one unit of electricity = [tex]\frac{120.99}{654}[/tex]
= 0.185
cost of one unit of electricity = $0.185
This implies that the cost of electricity used is charged at $0.185 per unit.
Thus for 654 units of electricity used, the cost would be;
654 x $0.185 = $120.99
Meal tickets at a large school cafeteria cost $4 for children and $9 for adults. On a certain day,
if 14 times as many children's tickets were bought as adult meal tickets, and the total revenue
from selling all tickets was $2,584, about how many children bought meal tickets?
Answer:
Let's define:
C = number of children tickets bought
A = number of adult tickets bought.
We know that "On a certain day, if 14 times as many children's tickets were bought as adult meal tickets"
Then we have:
C = 14*A
And we also know that:
"the total revenue from selling all tickets was $2,584"
Then:
C*$4 + A*$9 = $2,584
Then we have a system of equations:
C = 14*A
C*$4 + A*$9 = $2,584
The first step to solve these is to isolate one of the variables in one of the equations, and then replacing it in the other equation. We can already see that C is already isolated in the first equation, then we can just replace it in the second one to get:
(14*A)*$4 + A*$9 = $2,584
A*$56 + A*$9 = $2,584
A*$65 = $2,584
A = $2,584/$65 = 39.75
Here we should have a whole number, (So one of the numbers given may be incorrect) This is because we can not have a 0.75 of a ticket sold.
In this case, we know that:
C = A*14
C = 39.75*14 = 546.5
We could round this up to get a whole number; 547
About 547 children tickets were sold.
In which quadrant of the coordinate graph does point F lie?
Quadrant I
Quadrant II
Quadrant III
Quadrant IV
Answer:
Quadrant IV
Step-by-step explanation:
use this image for future reference! hope it helps ;)
Name:
11. Find the measure of each acute angle.
(2x + 6°
(5x + 14°
Answer:
A
Step-by-step explanation:
Dc is a little bit more than a few other things but I think it’s Going and the kids have to be in a different room yet I think it’s going on for me and my kids are in my car so I’m going to go get my car off at my moms and I can go pick it out I have a lot to go
Use the drawing tools to form the correct answer on the number line.
Graph the solution set to this inequality.
31 – 11 > 71 + 9
Answer:
We conclude that
[tex]3x-11>7x+9\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x<-5\:\\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:-5\right)\end{bmatrix}[/tex]
Please check the attached diagram which shows the solution on the number line.
Step-by-step explanation:
Given the inequality
[tex]3x-11>7x+9[/tex]
Add 11 to both sides
[tex]3x-11+11>7x+9+11[/tex]
Simplify
[tex]3x>7x+20[/tex]
Subtract 7 from both sides
[tex]3x-7x>7x+20-7x[/tex]
Simplify
[tex]-4x>20[/tex]
Multiply both sides by -1 (reverses the inequality)
[tex]\left(-4x\right)\left(-1\right)<20\left(-1\right)[/tex]
Simplify
[tex]4x<-20[/tex]
Divide both sides by 4
[tex]\frac{4x}{4}<\frac{-20}{4}[/tex]
Simplify
[tex]x<-5[/tex]
Therefore, we conclude that
[tex]3x-11>7x+9\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x<-5\:\\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:-5\right)\end{bmatrix}[/tex]
Please check the attached diagram which shows the solution on the number line.
Adjust to compatible numbers that count by 25s, and then subtract to estimate the difference. 252 - 23 =
Answer:
252
l----------l----------l----------l 252 changes to 250
225 250 275 300
23
l----------l---------l---------l 25 changes to 23
0 25 50 75
250-25=225
Step-by-step explanation:
What is the perimeter of the figure below?
r
X
r-2
Answer:
Perimeter = 5x - 2
Step-by-step explanation:
Perimeter of the figure = sum of all its side lengths
Thus:
Perimeter = (x - 4) + (x + 3) + (x - 2) + x + (x + 1)
Perimeter = x - 4 + x + 3 + x - 2 + x + x + 1
Collect like terms
Perimeter = x + x + x + x + x - 4 + 3 - 2 + 1
Perimeter = 5x - 2
Select the correct answer. On what interval is the function h(x) = 1 - 5] + 2 Increasing?
OA (2,00)
OB. (5,00)
OC. (-00, 2)
OD. (-0,5)
Answer:a
Step-by-step explanation:
The function h(x) is increasing on the interval (5, ∞).
What is the function?A relationship between a group of inputs and one output is referred to as a function. In plain English, a function is an association between inputs in which each input is connected to precisely one output. A domain, codomain, or range exists for every function. Typically, f(x), where x is the input, is used to represent a function.
The function h(x) = |x − 5| + 2 is increasing on an interval where the derivative is positive.
If x < 5, then h(x) = -(x-5) + 2 = 7-x, and if x > 5, then h(x) = x - 5 + 2 = x - 3. Thus,
h'(x) =[tex]\left \{ {{ -1, for x < 5} \atop { 1, for x > 5}} \right.[/tex]
Since h'(x) is positive for all x > 5, the function h(x) is increasing on the interval (5, ∞).
Learn more about function here:
https://brainly.com/question/29633660
#SPJ7
Complete question:
On what interval is the function h(x) = |x − 5| + 2 increasing?
Find the x - intercept and
y – intercept of the graph of the
equation 4x + 7y = 6
Step-by-step explanation:
x- intercept is the x coordinate when y is 0
4x + 7(0) = 6
4x = 6
x = 1.5
(1.5, 0)
y- intercept is when x is 0
4(0) + 7y = 6
7y = 6
y = 6/7
( 0, 6/7)
I hope this helps!!!
Angle e measures 126∘. What is the measure of ∠h?
Group of answer choices
108∘
36∘
54∘
126
Which ratio is equivalent to the ratio 2.5
200-3.5 x 2.8 what is the product?
Answer:
190.2
Explanation:
3.5x2.8=9.8
200-9.8=190.2
Answer:
how do you find the product of 3.5 x 2.8
Step-by-step explanation:
explain how you got it.
Kedar earns a monthly salary of $2,600 plus a 3.25% commission on the amount of his sales at a men's
clothing store. One month he sold $4,700 in clothing.
Part 1 out of 2
What was his commission that month?
His commission was: (select)
V
✓ Check
Next
______________________________
= 3.25% × $4,700 ÷ 100= $152.75Kedar's Commission Was $152.75______________________________
Help please i dont know what to do!
Answer:
A = 22x + 330
from what I can see from the picture
Step-by-step explanation:
A = lw
A = (x + 15) x (22)
A = 22x + 330
Answer:
814 (if the first one is a square)
Step-by-step explanation:
the rectangle has an area of 330
if the first shape is a square then it is 484
find the value of x for which WXYZ must be a parallelogram
Answer:
x=9
Step-by-step explanation:
8x+7=5x+34
3x+7=34
3x=27
x=9
Answer:
the answer is 9
Step-by-step explanation:
I took the test
If each of the following questions were asked to a group of second graders, which question would NOT be a statistical question? A. What time do you wake up in the morning? B. How tall are you? C. How many brothers and sisters do you have? D. What grade are you in?
Answer:
d
Step-by-step explanation:
just makes sense bc they're all in 2nd grade
What would the total bill be of a painting that costs $20.50 with a tax rate of 6%?
Answer:
$21.73
Step-by-step explanation:
6% = 0.06
$20.50x0.06 = $1.23
$20.50 + $1.23 = $21.73
Caiden drank 1/6 of a glass of apple cider. Olivia drank 2/3 of another class of apple cider. How much apple cider did they drink altogether?
Answer:
Step-by-step explanation:
Both Caiden and Olivia drank
1/6+2/3=1/6+4/6=5/6 apple cider
Answer:
5/6 apple cider vinegar altogether