Answer:
26 inches
Step-by-step explanation:
Area of rectangle
= length ×width
= (2x -1)(x +2)
= 2x(x) +2(2x) -1(x) -2 (expand)
= 2x² +4x -x -2
= 2x² +3x -2
Given that the area is 42 inches squared,
2x² +3x -2= 42
2x² +3x -2 -42= 0 (-42 on both sides)
2x² +3x -44= 0 (simplify)
(x -4)(2x +11)= 0 (factorise)
x -4= 0 or 2x +11= 0
x= 4 or 2x= -11
x= -11/2 (*reject)
Length of rectangle
= 2(4) -1
= 8 -1
= 7 inches
Width of rectangle
= 4 +2
= 6 inches
Perimeter of rectangle
= 2(width +length)
= 2(7 +6)
= 2(13)
= 26 inches
*We reject x= -11/2 because the length and the width of the rectangle would be a negative number, which is not possible.
A middle school took all of its 6th-grade students on a field trip to see a ballet at a theater that has 2500 seats. The students filled 1475 of the seats in the theater. What percentage of the seats in the theater were filled by the 6th graders on the trip?
Answer:
59%
Step-by-step explanation:
1475 / 2500 = 0.59 or 59%
Step-by-step explanation:
Write an expression for the nth term of...
2,1,0,-1...
Answer:
[tex]a_{n}[/tex] = 3 - n
Step-by-step explanation:
There is a common difference between consecutive terms in the sequence, that is
1 - 2 = 0 - 1 = - 1 - 0 = - 1
This indicates the sequence is arithmetic with n th term
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 2 and d = - 1 , thus
[tex]a_{n}[/tex] = 2 - 1(n - 1) = 2 - n + 1 = 3 - n
20ab
if a = 4 and b = -2)
Is 4 x 103 or 2 x 108 larger in value?
Answer:
4 x 103 is larger and value
Step-by-step explanation:
4 x 103 = 412
2 x 108 = 216
If f(x)=5(2−3x), what is the value of f(−4)?
PLZ HELP! FOR CROWN!
Step-by-step explanation:
f ( -4) = 5( 2 -3×4) = 5(2-12) = 5× (-10) = -50
What is the slope of a line perpendicular to the line whose equation is 2x+8y -64 Fully reduce your answer.
Answer: I am pretty sure it is y=-1/4x-8. Hope this helps!
Step-by-step explanation:subtract the 2x from both sides which gives you 8y=-2x-64. Then you want to divide both sides by 8 to get y=-1/4x-8
I need the formula for calculating interest in APR.
Will give Brainliest
Answer:
To calculate APR, you can follow these 5 steps:
1. Add total interest paid over the duration of the loan to any additional fees.
2. Divide by the amount of the loan.
3. Divide by the total number of days in the loan term.
4. Multiply by 365 to find annual rate.
5. Multiply by 100 to convert annual rate into a percentage.
Don't know if you still need this, but thought I could help!
- y - 7x = 6
y + 7x = 8
Answer:
7 ,x is 1/7
Step-by-step explanation:
plss put me b plsss
What is the area of the trapezoid shown below
Answer:
78 units squared
Step-by-step explanation:
I think 78
distributive property to find the answer of 3 x 4 1/5
Answer:
the first step is to change the mixed fraction into an improper fraction so 4 and 1/5 will be 21/5 so then you question will be three times 21/5 and the answer is 12 and 3/5
A particular toddler has an average nap of 2 and half hours. Nap time can vary by about 15 minutes. Write and solve an absolute value inequality that represents this situation.
Step-by-step explanation:
CORRECT ANSWER WILL BE MARKED BRAINLIEST!
Find the constant rate of change for the representation.
Jazmina brought home a plant. She kept record of the plant's height in her journal over the summer. The following are a few of her journal entries:
Day 3: 15.75 inches Day 6: 19.5 inches
Day 10: 24.5 inches Day 11: 25.75 inches
Day 16: 32 inches Day 21: 38.25 inches
Answer:
The plant grows approximately 1.25 in. per day.
Step-by-step explanation:
what is 234 divided by 21 plz help
Answer:
11 r 3
Step-by-step explanation:
I think this the answer not too. Hope this helps u.
Construction of segments angles and bisectors
What are the steps for using a compass and straightedge to construct a line through point X that is parallel to line r?
Answer:
What are the steps for using a compass and straightedge to construct a line through point X that is parallel to line r? Drag the steps and drop them in order from start to finish. Use the straightedge to draw a line s that passes through X and intersects line r. Label the point of intersection as point Y.
Step-by-step explanation:
Answer:
1. Use the straightedge to draw a line s that passes through X and intersects line r. Label the point of intersection as point Y.
2. Place the point of the compass on point Y and draw an arc that intersects lines r and s. Label the intersections as points M and N.
3. Without changing the width of the compass opening, place the point of the compass on point X and draw an arc that intersects line s. Label the intersection as point P.
4. Place the point of the compass on point M and open it to width MN.
5. With the compass opening set to width MN, place the point of the compass on point P and draw an arc that intersects the arc that was drawn from point X. Label the intersection of the arcs as point Z.
6. Use the straightedge to draw XZ.
Step-by-step explanation:
Verified correct with test results!!
emily is thinking of a number which she calls n she finds 1/4 of the number and then subtracts by 3
Answer:
the answer is y=1/4n-3
SOMEONE PLEASSEEEE HELP
The greatest common factor of 60w 5y 3 and 78wy 2 is _____
6w y^2
6w^5 y^3
13w^5 y^3
2w y^2
The answer fam is...... 6wy^2
HaEeiiekekekekekek HELP PLEASS
Answer:
She could arrange the books based on their number. She could start from the smallest number and then move onto the biggest number .
Step-by-step explanation:
HEY CAN ANYONE PLS ANSWER DIS RQ!!!!!!!!!
Answer:
A
Step-by-step explanation:
substitiuting the values repectively gives you the answer for the other.
SOMEONE PLS HELP ME PLEASE I BEG U AND SHOW WHY PLS I BEG
Answer:
The answer is less than one
Step-by-step explanation:
Because 1/2= less than 3
1 1/2= 3 and is less than 9
2 1/2= 5 not 15
Which inequality represents this situation?
Players must practice at least 45 minutes a day.
A. t 45
D. t ≥ 45
Answer:
d
Step-by-step explanation:
Answer: letter D
Goodluck:)
Whats the Square root of 13?
Answer:
3.25
Step-by-step explanation:
Go 3.25 units of distance in any direction. Turn 90 degrees clockwise and go 3.25 units of distance in a straight line. Turn 90 degrees clockwise and go 3.25 units of distance in a straight line. Turn 90 degrees clockwise and go 3.25 units of distance in a straight line.
You will have travelled along a square route whose total distance is 13 units. Alternatively you could have turned counter clockwise each time.
(3.955 x 10') + (2.473 x 103) Do help TwT
Answer:
294.669'
Step-by-step explanation:
Simply use order of aperations and solve for the equation. Perenthesis then addition for this specific situation.
What’s the answer??????
Answer:
720 gallons
Step-by-step explanation:
First, find how many gallons are cleaned per hour.
You can use a ratio:
36 gallons = x gallons
1/4 hour 1 hour
Cross multiply:
36 (1) = 1/4x
36 = 1/4x
(36 = 1/4x) (4/1)
144 = x
x = 144
Then, use this info to find how many gallons per 5 hours.
You can use a ratio:
144 gallons = y gallons
1 hour 5 hour
Cross multiply:
144 (5) = 1y
720 = y
y = 720
There are 720 gallons cleaned per 5 hours.
HELP Lines a, b, c, and d intersect as shown below.
What is x
Answer:
x = 109°
Step-by-step explanation:
Angle x lies outside of line d, and is also positioned just on the side of line a that is opposite to the side of line a occupied by angle 109°.
Therefore, angle x and the angle measure of 109° are alternate exterior angles.
Alternate exterior angles are congruent.
x = 109°.
During a day a student spends 7 hours sleeping, ¹/4 of the day studying and of the time travelling. What fraction of the day is left for other things?
Answer:
45.83 over 1 (45.83/1)
Step-by-step explanation:
29.17% sleeping
25% studying
29.17 + 25 = 54.17
100 - 54.17 = 45.83%
convert decimal to a fraction:
45.83 = 45.83 over 1 (45.83/1)
Answer:
[tex]\frac{45.83}{1}[/tex]
Step-by-step explanation:
45.83/1 is your answer!!!!
can i get brainliest plzzz?
subtraction property of equality
Gianna walked 12 miles in 6 hours. What was her walking rate in miles per hour?
Answer:
2 mph
Step-by-step explanation:
12/6
Her walking rate in miles per hour is 2
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value. Unitary method is a technique by which we find the value of a single unit from the value of multiple devices and the value of more than one unit from the value of a single unit. It is a method that we use for most of the calculations in math.
Given;
Gianna walked 12 miles in 6 hours
6hours= 12 miles
1hour= 12/6miles
1hour= 2miles
Therefore, the rate of gianna by unitary will be 2mph
Learn more about the unitary method, please visit the link given below;
https://brainly.com/question/23423168
#SPJ2
One night a theater sold 548 movie tickets. An Adult’s ticket costs $6.50 and a child’s ticket cost $3.50. In all $2881 was taken in. How many of each kind of ticket were sold?
Step-by-step explanation:
let x be the number of adults and y the number of childrens
x+y=548 people because thats the whole number of sold tickets
and
6.50*x+3.50*y=2881 dollars in total
let separate x from the first formula
x=548-y
and replace it at the second equation
6.50*(548-y)+3.50y=2881
6.50*548-6.50y+3.50y=2881
3562-3y=2881
3y=681
y=227
so x=548-y=548-227=321
there were sold 321 adult tickets and 227 child's tickets.
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Answer:
this sentence is grammatically incorrect
lol
Answer:
Thanks for the points luv
Step-by-step explanation:
Have a good day/night :)
Brainliest pls?
-8(s+4) = -60
What is the value of s?
Answer:
s = 3.5
Step-by-step explanation:
Lets begin by distributing -8 into the two values in the paranthesis, s and +4. By doing this, we get -8s -32 = -60
We can now take that -32 and bring it to the right side of the equation, making it now -8s = +32 -60
After simplyfing, we now have -8s = -28. Dividing -28 by -8 , we get positive 3.5.