Answer:
wiat
Step-by-step explanation:
14. Devon has an area rug with a width 3 feet less than its length, l. He has purchased a larger rug to fit into his new dorm room. Both length and width of Devon's new rug are 2 feet longer than the original. Find the simplified expression of the perimeter and the NEW rug. plsssss help.me show work
Answer:
Perimeter of the new rug = 4x+2 feet
Step-by-step explanation:
Let the length be x feet and the width of the first rug will be x- 3 feet
Area = length * breadth = x * (x-3) = x²- 3x
Length of the new rug = x+2 feet
Width of the rug = x+2-3= x-1 feet
Perimeter of the recatngle = 2( length + breadth)
= 2( x+2 + x-1)
= 2 (2x+1)
= 4x+2 feet
What is the image of (-4,-7)(−4,−7) after a reflection over the x-axis?
Answer:
(-4,7)
Step-by-step explanation:
(-4,-7) is in the bottom left corner on a graph. The x axis goes horizontal so if it reflects it would be at (-4,7)
This weekend the hardware store is having a blowout sale, where everything is discounted 40%. A weed eater originally sells for $145. How much will the weed eater cost during the blowout sale?
Answer:
58
Step-by-step explanation:
Answer:
$58
Step-by-step explanation:
Find the recursive rule, explicit rule, and f(20)
Answer:
Recursive:
[tex]f(1)=4, f(n)=f(n-1)-4[/tex]
Explicit:
[tex]f(n)=4-4(n-1)[/tex]
And the 20th term f(20) is -72.
Step-by-step explanation:
We have the sequence:
4, 0, -4, -8...
Let’s find the recursive and explicit rule for the sequence.
Recursive Rule:
Let’s determine the factor by which the sequence is decreasing by. We see that each subsequent term is 4 less than the previous term. In other words, our common difference is -4.
So, this is a arithmetic sequence.
The standard format for an recursive rule for an arithmetic sequence is:
[tex]f(1)=a , f(n)=f(n-1)+(d)[/tex]
Where a is the initial term and d is our common difference.
From our sequence, we know that our initial term a is 4.
We also determined that our common difference is -4.
Substitute. Hence, our recursive rule is:
[tex]f(1)=4, f(n)=f(n-1)-4[/tex]
Explicit Rule:
The standard format for an explicit rule for an arithmetic sequence is:
[tex]f(n)=a+d(n-1)[/tex]
Where a is the initial term and d is the common difference. So, again, let’s substitute 4 for a and -4 for d. Hence, our explicit formula is:
[tex]f(n)=4-4(n-1)[/tex]
To find f(20), we can use the explicit formula. It is possible to use the recursive formula, but it gets tedious. Therefore, we will substitute 20 for n for our explicit formula:
[tex]f(20)=4-4(20-1)[/tex]
Evaluate:
[tex]\begin{aligned} f(20)&=4-4(19) \\ f(20)&=4-76 \\ f(20)&=-72 \end{aligned}[/tex]
Hence, our 20th term is -72.
What is the equation, in slope-intercept form, of the line that passes through the points (−24, 5) and (16, −20)?
A. Y = -8/5x + 10
B. Y = -8/5x - 10
C. Y = -5/8x - 10
D. Y = -5/8x + 10
Answer:
C (Y = -5/8x - 10)
Step-by-step explanation:
first find the slope (y₂ - y₁) ÷ (x₂ - x₁)
(5 - (-20)) ÷ (-24 - 16)
-5/8 = slope (m)
now that we know the slope is -5/8 we can rule out A and B
now to find the y intercept just substitute a point in for x and y
5 = (-5/8)(-24) + b
multiply
5 = 15 + b
subtract 15 from both sides tp isolate b
-10 = b
Solve for a
ab + c = d
c
—-
a= b+ d
b
——-
a= (c+d)
(d-c)
a= ———
b
Answer:
A
Step-by-step explanation:
just took the test
15% tip on a bill of $51.03
Answer:
7.6545
Step-by-step explanation:
Count by 50 cents up to $4.00. Use dollar notation
Please help me
Answer:
1$, $1.50, $2, $2.50, $3, $3.50
Answer:
$1.00, $1.50, $2.00, $2.50, $3.00, $3.50
Step-by-step explanation:
Just add .50 (cents) on every time. When it comes to dollar notation, it should be marked with the dollar sign in front, and then the dollar amount, and then a decimal and the cent amount. The cent amount would be to the hundreths.
pls ayuda es para hoy mismo y es un examen
Answer:
-4
6x+29=5
6x=5-29
6x=-24
x=-4
Answer
es-4
Step-by-step explanation:
HELP IM ON GRADPOINT I AM ON A QUIZ IF I CAN ALSO GET THE REST OF THE ANSWERS I WILL MARK BRAINLYEST
Answer:
top is independent, bottom is dependent
Step-by-step explanation:
top has only 1 answer, bottom has infinite answers
The graph below shows the distance, y, in miles, of a bird from its nest for a certain amount of time, x, in minutes:
Graph titled Distance Vs Time is shown with Time in minutes along the x axis and Distance from Nest in miles along the y axis. The scale on the x axis shows the numbers 0 to 25 at increments of 5, and the scale on the y axis shows the numbers 1 to 8 at increments of 1. A straight line joins the ordered pairs 0, 3 and 5, 4 and 10, 5 and 15, 6 and 20, 7.
Based on the graph, what is the initial value of the graph and what does it represent? (1 point)
a
3 miles per minute; it represents the speed of the bird
b
0.2 mile per minute; it represents the speed of the bird
c
0.2 mile; it represents the original distance of the bird from its nest
d
3 miles; it represents the original distance of the bird from its nest
Answer:
(d).
Step-by-step explanation:
The y-intercept (0, 3) is initial value of graph ⇒ (d). 3 miles; it represents the original distance of the bird from its nest
Answer:
0.2 mile; it represents the original distance of the bird from its nest
Step-by-step explanation:
It will take 20 points to make the playoffs, the Hockey Team coach told the players. "We get 2 points for a win and 1 point for a tie." Let be the number of wins and be the number of ties. Write an equation to describe the values of and that will let them make the playoffs.
Answer:
[tex]2x+y\geq 20[/tex]
Step-by-step explanation:
Given that total points required to make the playoffs = 20 points
As there is 2 points for a win,
so points earned for x win = 2x
Similarly, as there is 1 point for a tie.
so points earned for y ties = 1[tex]\times[/tex] y= y
Total points earned for x win and y ties = 2x+y
As the team makes the playoff so the total points of the team must be equal to or greater than 20 points (i.e the minimum points to make the playoff), so
[tex]2x+y\geq 20[/tex]
Hence, the required equation is [tex]2x+y\geq 20[/tex].
What system of inequalities is shown in the graph?
A. x 2x + 3
B. x 3x + 2
C. x ≤ −1 and y ≤ −0.4x + 2
D. x ≤ −1 and y ≤ −2x + 2
Find the value of x.
Answer:
-11
Step-by-step explanation:
I think you do 5x-24=8x+9
somebody please help me what is 15 / 3 ×7/20
Answer:
1.75
Step-by-step explanation:
By Order of Operations, You read it left to right since Multiplication and Division are of the same importance. You would start with 15/3, which is 5.
Then your equation would be: 5*7/20.
Again, you would just read it left to right, 5*7=35
Then divide by 20, which is 1.75.
The triangle and the rectangle have the same area
Answer:
w =2.5
Step-by-step explanation:
the area of the triangle is 6*5 divided by half which is 15. this means that the area of the rectangle is also 15. so to find the value of the width we have to divide the area by the known value to get our answer. 15/6 is equal to 2.5 so that's what the value of w is.
12 + 4x – 4 = 12x – 9 – 8x
Answer:
No solution
Step-by-step explanation:
Basically the simplified equation is 17 = 0, which is wrong so there is no solution.
Douglas has a box with 49 paper clips.
Of the paper clips, 15 are yellow, 9 are
red, 6 are blue, 11 are orange and 8
are green. Douglas randomly picks 2
paper clips from the box.
If the first paper clip is red, what is the probability that the second paper clip is blue?
Answer:
6/48 is the likely possibility that he will pull out a blue one.
Step-by-step explanation:
The first thing you will look at is how many blue there is and in this case there is 6. All you have to do (if it didn't already) is add up all of the paperclips and put the blue total number to get your answer. So if there was 49 but he drew out one to make it 48. So the answer is 6/48
Factorize:
x^4 - 6x^2 - 27
x^4 - 6x^2 - 27
Let u = x^2
We know that x^4 = (x^2)^2.
u^2 - 6u - 27
(u - 9)(u + 3)
Now, back-substitite for u.
(x^2 - 9)(x^2 + 3)
The RIGHT SIDE FACTOR is the difference of two squares.
So, x^2 - 9 becomes (x - 3)(x + 3).
(x - 3)(x + 3)^2
Done.
help me plz asap now I just need answer question in pic
I was just about to ask this question
Step-by-step explanation:
Im on this question rn, i need help to :(
Answer: just guess :)
Step-by-step explanation:
The perimeter of a triangle is 60 cm and its sides are in the ratio 3 : 4 : 5. The length of the sides of the triangle are _________
a,10cm, 20cm, 30cm
b,15 cm, 20 cm, 25 cm
c,20 cm, 20 cm, 20 cm
d,15 cm, 35cm, 10cm
Answer:
Hey buddy, here is your answer. Hope it helps u.
Step-by-step explanation:
Let the unknown number be x
Perimeter of triangle= a+b+c
60=3x+4x+5x
60=12x
x= 60/12
X=5 cm
So the first side=3*x
=3*5=15
Second side=4*5=20
Third side=5*5=25
Answer is b
By-Kelyn
[tex] \LARGE{ \underline{ \tt{Required \: answer:}}}[/tex]
Let the sides be 3x, 4x and 5x. Then,
➝ 3x + 4x + 5x = 60 cm
It is because the total sum of the sides i.e. perimeter of the triangle is 60 cm.
➝ 12x = 60 cm
➝ x = 60 cm / 12
➝ x = 5 cm
Hence,
The required length of the sides:
3x = 15 cm4x = 20 cm5x = 25 cmAnd we are done! :D
⛱️ [tex] \large{ \blue{ \bf{FadedElla}}}[/tex]
Factor-262 +65k - 2b
Answer:
-262 +65k =2b is not factorable with rational numbers
Step-by-step explanation:
Which is the best estimate of 11 and one-fifth divided by 2 and three-fourths?
Answer:
4 should be the answer to the question
Answer:
11 1/5 divided by 2 3/4:
11 1/5 is a bit less than 12, and 2 3/4 is a bit less than 3
The answer, therefore, should be fairly close to 12 ÷ 3
12 ÷ 3 is 4
Answer is 4
Step-by-step explanation:
Lisa loaned John $5000 at an interest rate of 6%. He repaid her $5750 to cover the principal and interest. How long did he borrow the money?
Answer:
time in years = 2.5 years
Step-by-step explanation:
time = interest / (principal amount x rate)
time = 750 / 5000 x 0.06
time = 750 / 300
time = 2.5 years
Anelle is saving to buy a guitar that costs $350. So far she has saved $105.20. She wants to buy the guitar in 18 weeks. Based on this information, which statement is true?
Answer:
Step-by-step explanation:
350-105.20= 244.80 is still needed
I don't have the statements so...
244.80/18 weeks = 13.60 She'll need to save at least $13.60 a week for 18 weeks to make up the difference.
Answer:
Step-by-step explanation:
18x + 105.2 ≥ 350
18x ≥ 244.8
x ≥ 13.6
She has to save at least $13.6 per week.
What is the greatest common factor of 9 and 12? 3 9 36 108
Answer:
The GCF would be 3
Step-by-step explanation:
You’re welcome :)
Answer:
1. A
Step-by-step explanation:
i need help with these questions
Nathan measured a line to be 7.4 inches long. If the actual length of the line is 7.2 inches, then what was the percent error of the measurement, to the nearest tenth of a percent?
Answer:
2.8%
Step-by-step explanation:
(7.4 - 7.2) / 7.2 =
0.2 / 7.2 =
2.7777777777778%
The variable, y, varies directly with x. If y =14 when x=13, what is y when x=60?
Answer:
64.6.... something
Step-by-step explanation:
The corner market sells potatoes at a rate of 1/2 dollars per potato.
1. Amanda is only able to spend $5 on potatoes. What is the most number of potatoes she can buy?
2. Sam wants to buy 15 potatoes. How much will that cost him?
Answer:
The cost of 15 potatoes is $7.50
Step-by-step explanation:
The potatoes are sold at a rate of $0.5 per potato.
1. Given Amanda can only spend $5 on potatoes at that price, she can buy at most $5 / 0.5 = 10 potatoes.
Amanda can buy at most 10 potatoes
2. Sam wants to buy 15 potatoes at that very same price. The cost of 15 potatoes is:
15 * $0.5 = $7.50
The cost of 15 potatoes is $7.50