Answer:
A
Step-by-step explanation:
The expression for the width of rectangular placemats is (9x - 25) units.
Given that, the area of rectangular placemats=45x²-70x-150.
What is the area of a rectangle?The area of a rectangle (A) is the product of its length 'a' and width or breadth 'b'. So, the area of the rectangle = (a × b) square units.
Now, 45x²-70x-150=(5x + 6)×b
⇒b=45x²-75x-150/(5x + 6)
⇒b=(5x + 6)(9x - 25)/(5x + 6)
⇒b=(9x - 25)
Therefore, the expression for the width of rectangular placemats is (9x - 25) units.
To learn more about the area of a rectangle visit:
https://brainly.com/question/8663941.
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In a paint factory, an old conveyer line has filled 12 barrels of paint, and is filling more at a rate of 4 barrels per minute. A worker just switched on a newer line that can fill 10 barrels per minute. In a little while, the two lines will have filled an equal number of barrels. How long will that take? How many barrels will each line have filled?
Answer:
Take 2 minutesEach line would have filled 20 barrelsStep-by-step explanation:
First line is filling at 4 barrels a minute and has already filled 12
Second line is filling at 10 barrels a minute.
Assume the time taken to be equal is x:
12 + 4x = 10x
12 = 10x - 4x
6x = 12
x = 12/6
x = 2 minutes
Each barrel would have filled:
= 10x
= 10 * 2
= 20 barrels
Plz help due tomorrow
Answer:
option 1
Step-by-step explanation:
Combine like terms
[tex]1 + 4.25n + \frac{3}{2}p - 3 + (-2p) + \frac{5}{4}n=1 - 3 + 4.25n +\frac{5}{4}n+\frac{3}{2}p+(-2p)\\[/tex]
[tex]= -2 + 4.25n + 1.25n + \frac{3}{2}p-\frac{2*2}{1*2}p\\\\= - 2 + 5.5n +\frac{3}{2}p+\frac{4}{2}p\\\\= -2 + 5.5n +\frac{3-4}{2}p\\\\= - 2 + 5.5n -\frac{1}{2}p\\\\= 5.5n - \frac{1}{2}p - 2[/tex]
What are the zeros of this function?
A. x = -6 and x = -4
B. x = 0 and x = 4
C. x = -6 and x = 5
D. x = 4 and x = 6
Answer:
D. x=4 and x=6 (A P E X)
In ΔWXY, if m∠W is five less than three times m∠Y and m∠X is 8 more than m∠W, find the measures of each angles?
Answer:
∡W = 73°
∡X = 81°
∡Y = 26°
Step-by-step explanation:
let 'y' = measure angle Y
let '3y - 5' = measure of angle W
let '3y + 3' = measure of angle X
add all together and set equal to 180
y + 3y + 3y - 2 = 180
7y = 182
y = 26
substitute 26 for y in '3y+3' to find measure of angle X
substitute 26 for y in '3y-5' to find measure of angle W
Solve the system by graphing and find the number of each item Abbie purchased
Answer:
instructions unclear
Step-by-step explanation:
CHOOSE, see the attachment
Help me PLZZ.
It's urgent.
Answer:
f)-2
thats the right answer
I am sure
hope it helps
A verbal description of a function is given.
Let V(d) be the volume of a sphere of diameter d. To find the volume, take the cube of the diameter, then multiply by r and divide by 6.
(a) Find an algebraic representation for the function.
V(d) =
Answer:
be the volume of a sphere of diameter d. To find the volume, take the cube of the diameter, then multiply by $$\pi$$ and divide by 6. - Slader.
A store used to sell an MP3 for $72which is 50% more than the wholesale cost. At a special holiday sale, the price of the MP3 was 20% less than the wholesale cost. What was the special sale price of the MP3?
Answer:
$115.2
Step-by-step explanation:
Step one:
Given data
A store used to sell an MP3 for $72 and we are told that this 50% of the wholesale price.
Therefore the wholesale price is
72*2= $144
Required:
The special sales cost at 20% discount
Step two:
We are told that the special sale is at a 20% discount on the wholesale
= 20/100*144
=0.2*144
=$28.8
Therefore the special sales price is
= 144-28.8
=$115.2
PLEASEEEEEEE HELP ASAP!!
the relationship between the number of cup of flower, f and the number of cups of milk, m ,used in a cake recipe can be modeled as an equation f=1/4 m. How many cups of flower should be used for 2 cups of milk? answer as a fraction only
Answer:
Hi... U should do like this
Help me please I really need it
Find the slope, or rate of change, from the graph.
answer please correct answers
Answer:
3/2
Step-by-step explanation:
slope is rise over run
or y change divided by x change
to find the slope you need to find points on the graph that meet exact points on the graph
i see (0,0) and (4,6)
to find slope without graph it would be (y2-y1)/(x2-x1)
in this case (6-0)/(4-0)
=6/4
=3/2
=1 1/2
with graph you can count that it goes up 3 squares while moving two squares to the right
3/2
hope this helps
[tex]1 \times \frac{1}{4} - \frac{3}{20} (4 \times \frac{1}{3} - 2 \times \frac{1}{2} ) \times 5[/tex]
Answer:
[tex]1 \times \frac{1}{4} - \frac{3}{20} (4 \times \frac{1}{3} - 2 \times \frac{1}{2} ) \times 5 \\ \frac{1}{4} - \frac{3}{4}( \frac{4}{3} - 1) \\ \frac{1}{4}- \frac{3}{4} ( \frac{1}{3} ) \\ \frac{1}{4} - \frac{1}{4} \\ \boxed{0}[/tex]
0 is the right answer.help guys pls i dont know
what to do
How to Find the Mean. The mean is the average of the numbers. It is easy to calculate: add up all the numbers, then divide by how many numbers there are. In other words it is the sum divided by the count.
Median
Arrange your numbers in numerical order.
Count how many numbers you have. If you have an odd number, divide by 2 and round up to get the position of the median number.
If you have an even number, divide by 2. Go to the number in that position and average it with the number in the next higher position to get the median.
To find the mode, or modal value, it is best to put the numbers in order. Then count how many of each number. A number that appears most often is the mode.
can someone please evaluate (-12)²
Answer:
(-12)²=(-12×-12)=144
Answer: 144
Step-by-step explanation:
(-12)^2
= -12(-12)
= 12(12)
= 144
Write the quadratic equation whose roots are 1 and -3, and whose leading coefficient is 1.
(Use the letter x to represent the variable.).
Step-by-step explanation:
Factor Theorem:
"If a is a root of a polynomial, (x - a) is a zero of the polynomial."
Therefore by Factor Theorem,
we have (x - 1)(x + 3) = x² + 2x - 3.
You are testing two scales for accuracy by weighing two different objects. Use the drop-down menus to complete the statements about the scales' accuracy.
Answer:
Because the object on scale 1 weighs more than the object on scale 2, each pound of error results in a lesser percent error. Scale 1 was 10 pounds off and scale 2 was 3 pounds off, so scale 1 was 10% off and scale 2 was 12% off.
The object on scale 1 weighs 100 pounds and the object on scale 2 weighs 25 pounds so the object on scale 1 weighs more than scale 2.
Scale 1 error margin: Scale 2 error margin:
= Actual weight - measured weight = 25 - 22
= 100 - 90 = 3 pounds
= 10 pounds
Scale 1 error percentage: Scale 2 error percentage:
= Error margin/ Actual weight = 3/25
= 10/100 = 12%
= 10%
Scale 1 object has less percent error.
Answer:
Fill in Blanks in Caps and Numbers are in ()
Because the object on scale 1 weighs (MORE) than the object on scale 2, each pound of error results in a (LESSER) percent error. Scale 1 was (10) pounds off and scale 2 was (3) pounds off, so scale 1 was (10)% off and scale 2 was (12)% off
Step-by-step explanation:
I got it right on TTM so trustt me ;)
A company offers a renters insurance policy that costs a customer $70 per year, and the company will
make a payout of $10,000 to the customer if they are victim to theft in that year. The company set this
price based on the probability of a theft in the area being 0.002. Let X represent the company's profit
from one of these policies. The table below displays the probability distribution and summary statistics for
X
Theft
No theft
X = profit ($) 70
P(X)
0.998
-9,930
0.002
Mean:
Hex = $50
Ox $447
Standard deviation:
The company is considering increasing the price of this policy by an additional $10. Let Y represent their
profit from one of these higher-priced policies.
What are the mean and standard deviation of Y?
Lly =
dollars
or
dollars
Answer:
My= 60
Oy=447
Step-by-step explanation:
Answer: μY = 60 dollars
σY ≈ 447 dollars
Step-by-step explanation:
which equation represents a line that passes through the point ( 6,-3 ) and is parallel to the graph of y = 3x + 1
Answer:
Equation of a line that passes through the point ( 6,-3 ) and is parallel to the graph of y = 3x + 1 is [tex]\mathbf{y=3x-21}[/tex]
Step-by-step explanation:
We need to write equation of a line that passes through the point ( 6,-3 ) and is parallel to the graph of y = 3x + 1
The equation will be in slope-intercept form i.e [tex]y=mx+b[/tex] where m is slope and b is y-intercept.
Finding Slope
Since the lines are parallel to each other, their slopes will be equal.
Slope of given line: y = 3x + 1 is 3 (Compare it with general equation [tex]y=mx+b[/tex] we get m = 3)
So, slope of required line is: m=3
Finding y-intercept
Using the point (6,-3) and slope m = 3 we can find y-intercept by using the formula:
[tex]y=mx+b\\-3=3(6)+b\\-3=18+b\\b=-3-18\\b=-21[/tex]
So, we get y-intercept: b= -21
Equation of required line
The equation of required line having slope m=3 and y-intercept b = -21 is:[tex]y=mx+b\\y=3x-21[/tex]
So, equation of a line that passes through the point ( 6,-3 ) and is parallel to the graph of y = 3x + 1 is [tex]\mathbf{y=3x-21}[/tex]
I need helpppp plsssss
9514 1404 393
Answer:
33, 27285Step-by-step explanation:
The price difference is found by subtracting Emma's price from DeShawn's price. Each price is the product of the number of square feet and the price per square foot.
The number of square feet is already given in the answer form, so you only need to fill in the per square foot prices. Those are found in the table. Both the window name and the window area give clues as to which is the right price to choose.
The expression is (4² × 33) - (3² × 27).
__
For the second fill-in, you need to actually do this arithmetic. For many calculators, you can enter this expression directly.
DeShawn paid $285 more for his window than Emma.
Is ✓ 2 a rational or irrational?
Answer:
[tex]\sqrt{2}[/tex] is a irrational number
if x and y varies directly as each other and x = 4 when y = 16. find y when x = 9
The average athlete is able to begin activity 90 days after having a knee operation. The standard deviation is 20 days. Sixty-eight percent of athletes are able to participate within how many days? Round to the nearest day.
Answer:
99
Step-by-step explanation:
The mean = 90 days
standard deviation = 20 days
P(Z < z) = 68 %
getting the value of z-score from the standard normal table of 0.68
z = 0.47
P(Z < 0.47) = 0.47 * 20 + 90 = 99
Please help with this 1 question! -3-||
Answer:
2400
Step-by-step explanation:
half of 4800 is 2400
Answer:
Step-by-step explanation:
First we need to cross multiply ok?
[tex]100 times x=4800times50[/tex]
[tex]100x=240000[/tex]
Divide 100 both sides
[tex]x=2400[/tex]
Hence your answer is 2400, hope this helps :)
Carlos is five years older than twice his sister's age. Carlos is 13. Which equation and solution correctly identifies his sister's age?
2x - 5 = 13; x = 9
2x + 5 = 13; x = 4
2x - 5 = 13; x = 4
2x + 5 = 13; x = 9
Answer:
B
Step-by-step explanation:
x=4 so
2x4=8
8+5=13
Carlos's sister is 4 years old, therefore it is B.
Answer:
B
Step-by-step explanation:
A rectangle has an area of 6x^(2) + 7x - 3 square units. Which of the following could represent the perimeter of the rectangle in terms of x?
A. 2x + 3
B. 5x - 2
C. 10x + 4
D. 20x + 8
Answer:
Erm
Step-by-step explanation:
Answer:
i think its B
Step-by-step explanation:
hope this helps
165 miles in 3 hours. How many miles in 9 hours
Answer:
495
Step-by-step explanation:
165/3=495/9
So 495 miles
Answer:
495
Step-by-step explanation:
3 = 9
165 x
9 x 165 = 1485
1485 / 3 = 495
It takes Ann 8 hours to travel a
distance of 480 miles. At this rate,
how many miles does she travel in
13 hours?
780 miles
60 miles
97 miles
1260 miles
Answer:
d = 780
Step-by-step explanation:
Remark
You can do this with a proportion which will save you figuring out the rate. I'll do it both ways
Proportion
480/8 = x / 13 Cross Multiply
8*x = 13*480
8x = 6240
x = 780 miles
======================
Remark
Often times we like questions to follow a formula. Here's the formula method.
Formula
d = r * t
Givens
t = 8 hours
d = 480miles
r = ?
480 = r * 8
480 / 8 = r
r = 60
Second part
r = 60 miles per hour
t = 13 hours
d = ?
d = 60*13
d = 780 miles
will mark brainliest
solve the equation and give the x and y variables. Show your work
3x + 3y = 9
5x + 4y = 10
Answer:x = y = 3 x + 3 y = 9 = 5 x + 4 y = 10 =
Step-by-step explanation:
Colin was thinking of a number. Colin doubles it, then adds 9 to get an answer of 95.4. What
was the original number?
Answer:
43.2
Step-by-step explanation:
Set up an equation to model the situation;
2x + 9 = 95.4
"x" represents the unknown number. 2x is present because the number is double. 9 is added because the problem says that Colin added 9. This is set equal to 95.4, because the result attained is 95.4.
Solve the equation using inverse operations;
2x + 9 = 95.4
-9 -9
2x = 86.4
/2 /2
x = 43.2
Katherine earned $105.00 at her job when she worked for 7 hours. How much money did she make earn each hour?