What is the area of the rectangle?
A. 6,000 units2
B. 6,100 units2
C. 6,660 units2
D. 6,666 units2
The length of a rectangle is 1 foot more than twice the width. The area is 55 square feet. Find the length of the dimension of the rectangle.
Answer:
11 ft
Step-by-step explanation:
The formula for the area of a rectangle of length L and width W is
A = L * W.
Represent the length, L, by 2W + 1 ("1 more than twice the width"). Then the area formula (above) becomes:
A = 55 ft^2 = (2W + 1)(W), which, when simplified, results in:
2W^2 + W - 55 = 0, whose coefficients are {2, 1, -55}. Let's use the quadratic formula to solve this for W:
The discriminant, b^2 - 4ac, is 1^2 - 4(2)(-55), or 441. The square root of 441 is 21. Thus, the quadratic formula gives us:
-1 ± 21
W = ------------- = (1/4)(-1 + 21), or W = 5 and W = -22/4 = -11/2
2(2)
A measure of length can't be negative, so we reject W = -11/2 in favor of W = 5.
Then, according to the formula for L that we found earlier, L = 2W + 1, or
L = 2(5) + 1, or L = 11.
Check: Does L * W result in an area of 55 ft²? Yes
The length dimension of the rectangle is 11 ft
Please help.
Algebra.
4 A shelf at the grocery store
contains 500 packages of corn
and flour tortillas. If 22% of
the packages are flour tortillas,
how many packages
are corn tortillas ?
Answer:
390
Step-by-step explanation:
500*.22=110
500-110=390
390
A printer is printing photos . For every 8 photos , the printer takes 4 minutes . Complete the table below showing the number of photos and the time it takes to print them. (The table is in the photo)
Answer:
12 . 18
7 . 10
Step-by-step explanation:
What is the value of x?
0 12
O 10
06
08
Answer:
8
total degree inside pentagon is (n - 2) x 180 = 540
180-62 = 118
180-66 = 114
180-77 = 103
180-59 = 121
118+114+103+121 = 456
540 - 456 = 84
84 + 12x = 180
12x = 180-84
x = 96/12
x = 8
The value of x in the given pentagon is 8.
Option D is the correct answer.
What is a Pentagon?A pentagon is a polygon that has five sides and five angles.
The sides and angles of a pentagon are not all equal unless it is a regular pentagon.
A regular pentagon has five equal sides and five equal angles.
We have,
For a pentagon, n = 5, so we have:
total degree = (5 - 2) × 180 degrees
total degree = 3 × 180 degrees
total degree = 540 degrees
Now,
Each angle makes a straight angle.
So,
77 + a = 180
a = 180 - 77 = 103
59 + b = 180
b = 180 - 59 = 121
c + 66 = 180
c = 180 - 66 = 114
d + 62 = 180
d = 180 - 62 = 118
Now,
a + b + c + d + e = 540
103 + 121 + 114 + 118 + e = 540
e = 540 - 456
e = 84
Now,
12x + 84 = 180
So,
12x = 180 - 84
12x = 96
x = 8
Thus,
The value of x is 8.
Learn more about the Pentagon here:
https://brainly.com/question/30182047
#SPJ7
What fraction of people vacationed in another state?
Answer:
3/10 of people vacationed in another state.
Step-by-step explanation:
Because there are 60 people in total, the denominator has to be 60. The numerator then is going to be the amount of people that vacationed in another state. Simplify that fraction by 6, and you will get 3/10 as your answer.
Answer:
[tex]\frac{3}{10}[/tex]
Step-by-step explanation:
Since we want a fraction, we find the total number of people who vaccinated, then we find how many people vacationed in another state.
18+10+5+15+12=60, and 18 people vacationed in another state, we get
[tex]\frac{18}{60}[/tex], and we can divide top and bottom by 2, we simplify to [tex]\frac{3}{10}[/tex]
The sum of 1/6 and 1/4 is _______
see the above answer! thanks for reading
Help with this question please.
what would be the equation?
Answer:
y= - 1/2(2)^(x)-2
Step-by-step explanation:
you could check on a graphing calculator
Redbox rents out both video games and movies. They charge $2 for each video game and
$1 for each movie rented. Last week the total number of rentals was 114 and the machine
made a total of $177. How many movies and games were rented? What are the two
equations we can make? One is about the price, the other is the total rentals.
Answer:
1x + 2y = 177 (price)
x + y= 114 (rentals)
Step-by-step explanation: x= movies y= video games
Answer:
56
Step-by-step explanation:
add and then multiply
Help pls !! 17 points
answer:
the first one and the last one
good luck :)
hopefully, this helps
**please let me know if this was wrong**
have a great day !!
Is y = 1⁄2(1/4)x growing or decaying
Answer:
Growth
Step-by-step explanation:
y = 1/8 x
PLEASE HELP
Once a weck you babysit your neighbor's
toddler after school, usually going to a
local playground. You notice that each
swing on the swing set takes nearly the
same amount of time, about 3.7 seconds
(1). Use the pendulum formula below to
find out how long (ft) the swing is. Round
your answer to the nearest tenths place.
T/2π = √L/32
3.7 / 2 π = 0.588873289
0.588873289² = L / 32
0.34677175 = L/32
0.34677175 x 32 = L
L = 11.096696 ft
11.0971
CAN SOMEONE PLS ANSWER THIS COMPLETE AND CORRECT.
Step-by-step explanation:
9. 9x+1 + 9x+1 +88 =180
18x = 90
x = 5
Juan and Rob are selling cookie dough for a school fundraiser. Juan has t tt cookie dough orders, and Rob has 40 4040 cookie dough orders. They have a total of 75 7575 cookie dough orders all together.
Answer:
35 cookie dough orders
Step-by-step explanation:
Juan and Rob are selling cookie dough for a school fundraiser. Juan has t cookie dough orders, and Rob has 40 cookie dough orders. They have a total of 75 cookie dough orders all together.
We have to calculate the number of cookie dough that Juan has.
The expression for the above question is given as:
t + 40 = 75
We collect like terms
t = 75 - 40
t = 35
Therefore, Juan has 35 cookie dough orders
Jacie is serving steak and chicken she wants to have at least 20 pounds of meat. Steak is $8 per pound and chicken is $4 per pound . Jacie wants to spend at most 120 dollarss on meat
Answer:
She can get 10 pounds of steak and 10 pounds of chicken.
Step-by-step explanation:
As Jacie wants to have at least 20 pounds of meat, you can write the following equation:
x+y=20, where
x refers to the pounds of steak
y refers to the pounds of chicken
Also, since the statement indicate that the steak is $8 per pound and chicken is $4 per pound and Jacie wants to spend at most 120 dollars on meat, you can write the following equation:
8x+4y=120
So, you have the following equations:
x+y=20 (1)
8x+4y=120 (2)
Now, you can solve for x in (1):
x=20-y (3)
Then, you can replace (3) in (2) and solve for y:
8(20-y)+4y=120
160-8y+4y=120
160-120=8y-4y
40=4y
y=40/4
y=10
Finally, you can relace the value of y in (3) to find x:
x=20-y
x=20-10
x=10
According to this, the answer is that she can get 10 pounds of steak and 10 pounds of chicken.
I need help fast!!!!!!
Answer:
28 Pi
Step-by-step explanation:
circumference = 24(2)(π) = 48π
arc ABC = 360° - 150° = 210°
210/360(48π) = 28 Pi
the answer choices are :
Trinomial
Monomial
Binomial
None of these
Answer:
Trinomial
Step-by-step explanation:
It has three terms
Answer:
Trinomial
Step-by-step explanation:
there are 3 variable things
Will give brainlest
a = 3, k = 12, z = 6, h = 4
Evaluate the algebraic expression
zh
—
a.
zh
— =
a
Answer:
8
Step-by-step explanation:
6*4/3=8
Answer:
[tex] \frac{6(4)}{3} \\ = \frac{24}{3} \\ = 8[/tex]
WILL MARK BRAINLIEST IF GOTTEN RIGHT IF YOU GET IT WRONG ON PURPOSE I WILL REPORT YOU
Answer:
B) cos Z = 15/17
Step-by-step explanation:
cos Z = 30/34 = 15/17
What’s the missing side length
Just by looking at the question x + 6 + 2x = 2x + 6 + 4 so what does x equal and why?
I need help fast!
Answer:
x = 4
Step-by-step explanation:
x + 6 +2x = 2x + 6 + 4
combine like terms:
3x + 6 = 2x + 6 + 4
add numbers:
3x + 6 = 2x + 10
subtract 6 on both sides:
3x + 6 - 6 = 2x + 10 - 6
3x = 2x + 4
subtract 2x from both sides:
3x - 2x = 2x - 2x + 4
x = 4
short explanation:
if you look at the equation, both sides have 6 and 2x which would cancel each other out. That would leave x = 4
Name two types of angles that are formed when a transversal cuts through parallel lines. HELP!!!
Answer:
In explanation below l
v
Step-by-step explanation:
When a transversal cuts parallel lines, all of the acute angles formed are congruent, and all of the obtuse angles formed are congruent. For example, ∠1, ∠4, ∠5, and ∠7 are all acute angles.
please help i’ll give brainless
Answer:
1. 12
2. 31
3. 37
4. 87
please help me ill mark you brainliest and show your work please
$48 was sold at a loss of 10%. The loss was
Find the area and the circumference of a circle with diameter 8 ft.
Use the value 3.14 for it, and do not round your answers. Be sure to include the correct units in your answers.
ft
ft?
ft
8 ft
Area:
Circumference:
X Х
?
Answer:
Step-by-step explanation:
Circumference
C = 2*pi * r
pi = 3.14
r = d / 2
r = 8/2
r = 4 feet
C = 3.14 * 2 * 4
C = 18.84 feet.
Area
pi = 3.14
r = d/2
r = 8/2
r = 4
Area = 3.14 * 4^2
Area = 3.14 * 16
Area = 50.24 ft^2
Which equation has a graph parallel to the graph of
y = -2/3x + 2
Answer:
B
Step-by-step explanation:
The answer is b because the number is supposed to be next to the first number
5) A savings account earns 4.5% annual simple interest. The principle is
$1300. What is the balance after 3 years? *
Answer:
$1483.52
Step-by-step explanation:
P=principle
Fn=total at the end of a given year(=n) (subscript)
I= interest in decimal
F=P(1+I)
at end of first year F1=P(1+I)
at end of second year F=F1(1+I)= P(1+I)(1+I)= P(1+I)^2
or in general Fn=P(1+I)^n