Answer:
The length and width of the patio are 18¹/₃ feet and 6²/₃ feet respectively.
Step-by-step explanation:
Let L and W be the length and width of the patio respectively. Since the patio is a rectangle, its perimeter, P = 2(L + W). This perimeter equals the length of string of lights which is 45 ft.
Now, the length of his patio, the side along the house, is five feet longer than twice its width implies that L = 2W + 5.
Substituting L into P, we have
P = 2(L + W)
= 2(2W + 5 + W)
= 2(3W + 5)
= 6W + 5
Since P = 45 feet,
6W + 5 = 45
6W = 45 - 5
6W = 40
W = 40/6
W = 20/3 feet
W = 6²/₃ feet
Since L = 2W + 5, substituting W = 20/3 into L, we have
L = 2W + 5
= 2(20/3) + 5
= 40/3 + 5
taking the L.C.M, we have
= (40 + 15)/3
= 55/3 feet
= 18¹/₃ feet
So, the length and width of the patio are 18¹/₃ feet and 6²/₃ feet respectively.
Solve for X and round to the nearest tenth
Answer:
3.4
Step-by-step explanation:
cosx = adj/hyp
cos61° = x/7
x= cos61° * 7
*degree mode
3.39
Franky and Francesca applied to the same college. They looked up the average SAT score of students admitted to that college. Franky’s SAT score was 140 points above the average score. Francesca’s SAT score was 40 points below the average score. Which expression represents the difference in their scores?
❘-40 - 140❘
-❘140❘ - ❘40❘
-❘140❘ + ❘-40❘
❘140 - 40❘
Answer:
❘-40 - 140❘
Step-by-step explanation:
Given that,
Franky’s SAT score was 140 points above the average score.
Francesca’s SAT score was 40 points below the average score.
We need to find the expression that represents the difference in their scores. It can be calculated as follows :
d = ❘-40 - 140❘
= -180
Hence, the correct option is (A) "❘-40 - 140❘".
A sports tournament has d teams. Each team has 15 players. Using d, write an expression for the total number of players in the tournament.
Answer:
d x 15=total players.
Step-by-step explanation:
dx15=total number of players in the tournament.
Answer:
15d
Step-by-step explanation:
If there are d teams and 15 people in each team d x 15 = 15d
find the mean of the given data. 147 141 120 124 128
46−[38−{27−(15−13−2¯¯¯¯¯¯¯¯¯¯¯¯¯)}]
=
Answer:
46-38-27-15+13+2
=-17
For each fraction, select the most appropriate estimate. 36 40 choose.. 1 3 choose.. 70 100 choose.. 1 8 choose.. Options: Closest to 0 Closest to one half Closest to 1
Answer:
Convert each fraction to its percentage form:
= 36 / 40
= 90%
= 1/3
= 33.3%
= 70/100
= 70%
= 1 / 8
= 12.5%
Looking at the percentages:
= 36 / 40 is closest to 1.
= 1/3 and 70/100 are closest to one half which is 50%
= 1/8 is closest to 0.
Kim was sitting in row 5, seat 8 at a soccer game when she discovered her ticket was for row 2, seat 3. Write a rule to describe the translation needed to put her in the proper seat.
Answer:
Step-by-step explanation:
We can assume we are seeing these seats as points on a graph with her current position being (8, 5) and her destination being (3, 2). Using these values Kim would need to follow the following rules...
Move 3 positions down to point/seat (8, 2)
Move 5 positions to the left to point/seat (3,2)
Following these instructions, she would correctly transition to the correct seat.
Write the equation of a circle that has a diameter of 12 units if its center is at (4,7).
PLZ HELP ASAP! I will give you BRAINLIEST
9514 1404 393
Answer:
(x -4)^2 +(y -7)^2 = 36
Step-by-step explanation:
The equation of a circle with radius r and center at (h, k) is ...
(x -h)^2 +(y -k)^2 = r^2
When the diameter is 12, the radius is 6 (half the diameter). Then for your center point, the equation is ...
(x -4)^2 +(y -7)^2 = 36
Is -6 a solution for the equation 3(2x - 8)= -4(-6 +21)?
Answer:
YeS, it is a solution
Step-by-step explanation:
Here, we want to check if -6 is a solution to the question
What we have to do is to replace x by -6
If what we have on the left equals that on the right, then -6 is a solution
Thus, we have it that;
3(2(-6) -8)
= 3(-12-8)
= 3(-20) = -60
for the right hand side
-4 (15) = -60
This means both sides are equal and that -6 is a solution
what should be added to
11/21 to make it
19/21
To find what needs to be added subtract the two numbers:
19/21 - 11/21 = 8/21
You need to add 8/21 to 11/21 to get 19/21
Which systems of equations have infinite solutions
2x+y 31
+ y = 18
2x+y 10
изу +7
y 14 - 2x
0x3y12
y 13 - 2
1x 3.10
2x + y 14
X 13 - 2y
2x+y 17
Ox3y - 61
roup of softball players are training on a square-shaped sports ground with sides measuring 100 yards each. The players run around for 10 minutes to warm up. How many laps around the sports ground do they run given their average speed is 5 yards per second? Please add an explanation. I will mark the brainliest to whoever's answer is best and YOU GET 50 Points.
Answer:
7.5 laps
Step-by-step explanation:
First, you wanna figure out how many yards is in one lap
to do this, you would multiply 100 and 4 (four because there's four equal sides in one lap)
100 x 4 = 400
You know their speed is 5 yards per second, so you wanna find out how many seconds they will be running
to do this, you multiply 60 (sixty because there's sixty seconds in one minute) and 10 (ten because that's the given amount of minutes)
60 x 10 = 600 seconds
now to found out how much they will run in 10 minutes you will multiply 600 by 5
600 x 5 = 3000 yards
now to find how many laps this is, you can divide 3000 yards by 400 yards
3000 ÷ 400 = 7.5 laps
Help ASAP. This is vital to my math grade. I will award 100 points and Brainly to whoever can give me the correct slope. I need this question correct in order to pass my math class. This is for a dual enrollment class. This is timed
Answer:
-2/2
Step-by-step explanation:
I think the slope is -2/2 I hope I got this right, sorry if I got it wrong. Anyway, you solve this by plotting your two points, then doing rise over run (down 2 and over to the right).
Your welcome :D.
Answer:
Slope: -1
Step-by-step explanation:
( 3, -6) and (5, -8)
m= (y2-y1)/(x2-x1)
m = ( -8 + 6)/ (5-3)
m = (-2)/2
m = -1
Help pls!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
(4p^2+3)(p+2)
Step-by-step explanation:
need help again... asap
Answer:
9/41
Step-by-step explanation:
cos=adjacent/hypotenuse
adjacent=9
hypotenuse=41
12. The base angles of an isosceles triangle are represented by (5x + 10) and 50°. Find x.
Answer:
x = 8
Step-by-step explanation:
Base angles of isoceles triangle are equal
5x + 10 = 50
5x = 40
x = 8
please help me with this and explain. It’s due in a bit :/
Answer:
choice D
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
they have similar angles and similar sides, and the description choice D gives is also correct
the distance an asteroid travel is directly proportional to the amount of time it travels if an asteroid travels 112,000 miles in 2 hours how far will it travel in 24 hours
Answer:
1,344,000
Step-by-step explanation:
since 2 hours have gone by divide 112,000 by 2 you will get 56,000 meaning the asteroid is going 56,000 Miles Per Hour now Multiply 56,000(MPH) by 24 (Hours)
You're Answer: 1,344,000
Find the missing side (to 2dp)
Answer:
x = 17.74 cm
Step-by-step explanation:
tan 29 = x/32
0.5543 = x/32
x = 17.74 cm
Answer:
17.74 to 2 dp.
Step-by-step explanation:
tan 29 = x/32
x = 32 tan 29
= 17.7379.
A father is 20 years older than his son. Five years ago,he was three times as old as his son was.Find their present ages
Answer:
Dad=35, Son=15
Step-by-step explanation:
Well since the dad is 20 year older then the son we can call the son x and the dad x+20. Now five years ago the father was 3 times older then the so we construct the following equation:
x+20−5=3(x−5)
x+15=3x-15
x=15
So now we know that the sons age is 15 meanimg that since the dads 20 years older then him, his age is 20+15 which is 35!
An angle measures 56° more than the measure of its supplementary angle. What is the measure of each angle?
Answer:
62,118
Step-by-step explanation:
Let one angle = x
So, other angle = x +56
x +x +56 = 180 {Combine like terms}
2x + 5 6 = 180 {Subtract 56 form both sides}
2x = 180 - 56
2x = 124 {Divide both sides by 2}
x = 124/2
x = 62
Other angle = 62 + 56 = 118
Write a real life scenarlo that can be represented by the integer -55
Answer:
I deposit $500 in my bank from my check this week. I have to withdraw $550 from my bank to pay my medical bills. I am short -55/55 dollars so I wait to pay my medical bills.
I owe $60 to my school for damage on a school laptop. I only have $5 so I am 55 dollars short.
I withdraw $2,000 from my bank to deposit $1950 a week later. I want to deposit the same amount of money I put last week. I am short 55 dollars.
Step-by-step explanation:
I put different scenarios because I didn't know if any of them were good enough.
The number of hot drinks sold in a café decreases as the weather becomes warmer. What type of correlation does this statement show?
Write an equation in slope-intercept form of the line shown.
Answer:
y=2x-2
Step-by-step explanation:
The slope is 2 and your y intercept is already given as -2.
Slope intercept is basically y=mx+b
plug it in so you get y=2x-2
50 points
Help if you know.
Thanks.
Answer:
RhombusStep-by-step explanation:
Refer to attached
You can easily calculate that each of the sides have the length:
AB= BC = CD = AD = [tex]\sqrt{1^2+4^2} = \sqrt{17}[/tex]Parallel sides have equal slopes:
m = - 4 for AB and CDm = - 1/4 for AD and BCDiagonals are perpendicular as their slopes are negative reciprocal:
m = 1 for ACm = -1 for BDSo we see the quadrilateral ABCD has two pairs of parallel sides, all sides are equal and the diagonals are perpendicular.
This is the definition of the rhombus.
The combined height of one fur tree and one pine tree is 21 meters. The higher of 4 fir trees stacked on top of each other is 24 meters taller that the one pine tree. How tall are the types of trees that Logan genetically engineered?
Answer: Fur tree = 6 meters, pine tree = 15 meters
Step-by-step explanation:
Lets say the height of one fur tree is x
the height of one pine tree is y
so x+y=21 and 4x=24
x = 6
y = 15
2 of 6
Brian and Colin are marking exam papers.
Each set takes Brian 43 minutes and Colin
1 hour. Express the times Brian and Colin
take as a ratio in its simplest form.
Step-by-step explanation:
Brian takes = 43 minutes
Colin takes = 1 hour = 60 minutes
In ratio,
43/60
Ruben adds some water to a glass of juice. The ratio of water to juice in his glass in now 4:6. Which fraction below represents this ratio? A 3/5 C 2/3 B 3/2 D 2/5
Answer:
C
Step-by-step explanation:
since we're being told to convert the ratio to fraction then it is C. note that 4 ratio is also the same as dividing 4 by 6
Solve for b. b + 2 = 4.6
b=6.6
b=4.12
b=2.6
b=2.3
Answer:
b=2.6
Step-by-step explanation:
b+2=4.6
Subtract both sides by 2 to isolate b
b+2-2=4.6-2
b=2.6
Therefore, b is equal to 2.6.
I hope this helps!
Ted has the following triangle dimensions.
side length of 8
side length of 14
side length of 23
How many triangles can he construct?
He can construct only one triangle.
He can construct two triangles.
He can construct three triangles.
He cannot construct a triangle.
Answer:
He cannot construct a triangle
Step-by-step explanation:
In order to construct a triangle the two shorter sides added together have to be greater than the longest side if that makes sense
So basically 8+14 has to be greater than 23 in order for it to be side lengths of a triangle
8+14=22
22 is not greater than 23 therefore he cannot create a triangle
AnsweFREE 50 POINTS FOR MEEE
Step-by-step explanation:
its D :)