Answer:
(x + 8) + (x + 8) + (x + 3) + (x + 3)
and
4x + 22
Two equivalent expressions to represent the perimeter of the boat dock are P = 2[(X + 8) +(X + 3)] or P = 4X + 22.
What is a perimeter?"A perimeter is a measurement of the outside of a shape. In order to find a perimeter, we have to find the sum of all the sides of the shape."
Given
Length of the dock = (X + 8) feet
Width of the dock = (x + 3) feet
A rectangle have length and width.
So the perimeter of the rectangle is 2(length + width)
Formula to find the perimeter of shape
Perimeter of the shape = Sum of all the sides of the shape
P = (X + 8) +(X + 3) + (X + 8) +(X + 3)
⇒ P = 2[X + 8 +X + 3]
⇒ P = 2[2X + 11]
⇒ P = 4X + 22
Hence, two equivalent expressions to represent the perimeter of the boat dock are P = (X + 8) +(X + 3) + (X + 8) +(X + 3) or P = 4X + 22.
Learn more about perimeter here
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PLS HELP COME QUICK!!!!!!!
Determine the pattern rule and then fill in the missing values in the table
10
X
5T Q15 Finding side lengths in a compound shape
Calculate the length of x. Give your answer correct to 3 significant figures.
Tools
11
Calculate the value of x. Give your answer to 3 significant
figures
BC = 5 * tan
50
12
5 cm
BC =
to 3 s.f.
13
B
с
x tan 38
38°
Show your working A
X=
cm to 3 s.f.
14
* cm
15
16
Reset
Q1 of 1
Next
Check Answers
Results
M
Answer/Step-by-step explanation:
✔️Find BC:
Reference angle = 50°
Opposite = BC
Adjacent = 5 cm
Based on trigonometric ratio, thus:
Tan 50 = BC/5
Multiply both sides by 5
BC = 5 × tan 50
BC = 5.96 cm (to 3 s.f)
✔️Find x:
Reference angle = 38°
Opp = x
Adj = BC = 5.96 cm
Based in trigonometric ratio, thus:
Tan 38 = x/5.96
Multiply both sides by 5.96
x = 5.96 × tan 38
X = 4.66 (3 s.f)
53 - 21 + 62 + (25 ÷ 5)
What is the value of the expression when = 2?
A.
14
B.
48
C.
26
Answer:
48
Step-by-step explanation:
So your equation is: 5y3 - 21 + 6y2 + (25 ÷ 5) and y = 2.
Evaluate for y=2
5(23)−21+6(22)+
25
5
5(23)−21+6(22)+
25
5
=48.
So the answer is 48.
Solve the simultaneous equations by substitution
8y−3x=23
3x=2y+1
Answer:
I love algebra anyways
The ans is in the picture with the steps how i got it
(hope this helps can i plz have brainlist :D hehe)
Step-by-step explanation:
Help help help me me me me
Answer:
Yes
Step-by-step explanation:
25/5 = 5
30/6 = 5
35/7 = 5
40/8 = 5
Since, 25/5 = 30/6 = 35/7 = 40/8 = 5
So the relationship between x and y is proportional.
I NEED HELPPP AHHHHHH!!!!!!!!!!!!!!!!!!!!!!!!
Step-by-step explanation:
5)
5)supplement : 180-10= 170°
5)supplement : 180-10= 170°Complement =90-10= 80°
5)supplement : 180-10= 170°Complement =90-10= 80°6)
5)supplement : 180-10= 170°Complement =90-10= 80°6)supplement : 180-42.5= 137.5°
5)supplement : 180-10= 170°Complement =90-10= 80°6)supplement : 180-42.5= 137.5°Complement =90-42.5= 47.5°
5)supplement : 180-10= 170°Complement =90-10= 80°6)supplement : 180-42.5= 137.5°Complement =90-42.5= 47.5°7)
5)supplement : 180-10= 170°Complement =90-10= 80°6)supplement : 180-42.5= 137.5°Complement =90-42.5= 47.5°7)supplement : 180-80= 100°
5)supplement : 180-10= 170°Complement =90-10= 80°6)supplement : 180-42.5= 137.5°Complement =90-42.5= 47.5°7)supplement : 180-80= 100°Complement =90-80= 10°
5)supplement : 180-10= 170°Complement =90-10= 80°6)supplement : 180-42.5= 137.5°Complement =90-42.5= 47.5°7)supplement : 180-80= 100°Complement =90-80= 10°8) False
9) True
10) True
) True11) True
) True11) True12) True
) True11) True12) True13) True
) True11) True12) True13) True14) False
Solve: 5a + 15 = 45
O a = 12
O a = 6
O a = -6
O a = -12
If a greyhound can run up to 50mi/h. How long would it take a greyhound to run 10 mi?
Answer:
12 minutes
Step-by-step explanation:
(50miles/60 minutes)/5 = 10 miles/12 minutes
Having emergency supplies ready is an important step in any preparedness plan. In the space below, draw an example of what your emergency supply pack would look like. Make sure to label each item so that others can see your materials.
Answer:
Emergency supplies are very important and it is very useful at times of need.
Step-by-step explanation:
Emergency supplies are a set of supplies that we may require at times when some situation or problem arises. During any situation which is not normal, these emergency supplies serves the purpose of life to one self.
Thus everybody should be prepared for the worst and should always keep an emergency supplies with them. These emergency supplies should contain all those item that we may require at times of need. It must contain :
-- a safety kit or a first aid kit
-- at least a gallon of water for drinking purposes and for sanitary purposes
-- a multi tool and a knife
-- a torch and batteries
-- emergency phone numbers and medical phone numbers
-- some clothes and weather resistance blankets
-- some copies of important documents
-- easy to cook and on perishable food items
-- two way radios
-- extra cash
-- maps
Jack bought a bike for $550 and then sold for $680 what was his percentage profit
Answer:
about 24%
Step-by-step explanation:
he made around 23.64% profit. rounded up would be 24%
14 of 1914 of 19 Questions
Question 14 please anyone please help me ☺
Francis scores 3 more than 2 times the number of points that Ray scores. If r represents the number of points Ray scores, which expression represents the number of points Francis scores?
5r
6r
2r+3
2 r + 3
3r+2
Answer:
See explanation
Step-by-step explanation:
The answer is either 2r+3 or 2 r + 3
I'm a bit confused because they're kinda the same thing but one of them is spaced out. I don't know if that space means anything.
Anyway if he's scores 3 more than 2 times the points ray scores, that means that he scores twice the amount that ray scores plus 3.
A square floor tile has a diagonal 19 inches long. What is the area of the tile?
A) 53.7 in.2
B 107.5 in.2
C 180.5 in.2
D 361.0 in.2
Answer:
C
Step-by-step explanation:
The answer is C because you plugin using the area formula.
Morgan is making accessories for the soccer team. She uses 542.92 inches of fabric on headbands for 45 players and 4 coaches. She also uses 396.45 inches of fabric on wristbands for just the players. How much fabric was used on a headband and wristband for each player?
Aaron, Mathew and Sara share some money. Aaron gets 30% of the money. Mathew gets 3/8 of the money. Sara gets the rest. If Mathew gets ...
Complete question :
Aaron, Mathew and Sara share some money. Aaron gets 30% of the money. Mathew gets 3/8 of the money. Sara gets the rest. If Mathew gets £24 , how much do Aaron and Sara get?
Answer:
Sara = £20.8
Aaron = £19.2
Step-by-step explanation:
Let the amount of money = x
Mathew = (3/8) of x
Aaron = 30% of x = 0.3x
If (3/8)x = 24
3x / 8 = 24
3x = 192
x = £64
Aaron gets 30% = 0.3 * £64 = £19.2
Sara = £64 - (19.2 + 24)
Sara = £64 - £43.2
Sara = £20.8
Prove z + z + z + z = 4z. Replace each step with the correct equivalent expression based on the given property or operation. Drag the correct tiles to show the steps in order. z + z + z + z = Step 1 (Multiplicative Identity Property) = Step 2 (Distributive Property) = Step 3 (Addition) = Step 4 (Commutative Property of Multiplication) z • 4 1 + (z • z • z • z) 4z z • 0 + z • 0 + z • 0 + z • 0 z • 1 + z • 1 + z • 1 + z • 1 z • (1 + 1 + 1 + 1) ↓ ↓ ↓
Answer:
Step 1: [tex]z*1+z*1+z*1+z*1=[/tex]
Step 2: [tex]z(1+1+1+1)=[/tex]
Step 3: [tex]z*4=[/tex]
Step 4: [tex]z*4 = 4z[/tex]
Step-by-step explanation:
Given
[tex]z+z+z+z = 4z[/tex]
Required
Match the steps with equivalent properties
Step 1: Multiplicative Identity Property
This states that:
[tex]x = 1 * x[/tex]
So, the expression becomes:
[tex]z*1+z*1+z*1+z*1=[/tex]
Step 2: Distributive Property
This states that:
[tex]ab + bc = b(a+c)[/tex]
So, the expression becomes
[tex]z*1+z*1+z*1+z*1=[/tex]
[tex]z(1+1+1+1)=[/tex]
Step 3: Addition
Here, we simply add the expressions in the bracket
[tex]z(1+1+1+1)=[/tex]
[tex]z(4) =[/tex]
[tex]z*4=[/tex]
Step 4: Commutative Property of Multiplication
This states that:
[tex]ab=ba[/tex]
So, we have:
[tex]z*4=[/tex]
[tex]z*4 = 4*z[/tex]
[tex]z*4 = 4z[/tex]
I need help on this problem
-10.7 + (-19.26)
(I have to show my work btw)
Answer:
-29.96
Step-by-step explanation:
You add both numbers, as both are negative, and you get the answer.
Help, I didn't get it
A picture frame is 112 inches wider than the picture it holds. Let f represent the width of the frame. Let p represent the width of the picture. Which table represents the situation?
f = p + 1
p f
1 2
2 3
3 4
f = p + 12
p f
1 112
2 212
3 312
f = p + 112
p f
1 212
2 312
3 412
f = p + 3
p f
1 4
2 5
3 6
Answer:
f = p + 1 1/2
p f
1 212
2 312
3 41
Step-by-step explanation:
A picture frame is 112 inches wider than the picture it holds. Let f represent the width of the frame. Let p represent the width of the picture. Which table represents the situation?
Find the sum of the first 33 terms of the following series, to the nearest
integer.
2,8, 14, ...
Answer:
3234
Step-by-step explanation:
The series is arithmetic with a common difference = d = 6
First we need to find the 33rd term. Use the formula [tex]a_{n} = a_{1} + (n - 1)d[/tex] where n = 33 and [tex]a_{1} = 2[/tex]
[tex]a_{33} = 2 + (33 - 1)6 = 2 + 32(6) = 194[/tex]
Now the formula for the sum of an arithmetic series is [tex]S_{n} = \frac{n(a_{1} + a_{n} )}{2}[/tex]
So, [tex]S_{33} = \frac{33(2 + 194)}{2}[/tex]
= [tex]\frac{33(196)}{2}[/tex]
= 3234
what is -60 ÷_______ = 12
Answer:
5 is the answer.
60÷5=12 as 12×5=60
Answer:
-5
Step-by-step explanation:
The equation, -60 ÷ ____ = 12 can be easily reversed to help us find the missing divisor.
To find the missing divisor, we can rewrite the equation as -60 ÷ 12 = ___.
This way, we can find what the quotient (the divisor of the original equation).
-60 ÷ 12 is equal to -5, so therefore the divisor of -60 ÷ ___ = 12 is -5!
So the finished equation would look like this: -60 ÷ -5 = 12!
(To check your work, multiply -5 by 12 to see if it equals -60 :D)
Hope this helps!!
If the supplies cost $1.50 per jar and he has a markup of 90% what price dose he sell it for ?
Answer:
2.85
Step-by-step explanation:
100%->1.50
1%->0.015
190%->2.85
A number or the product of a number and a variable in an algebraic expression; a number in a sequence is a term?
Answer:
Yes a number in a sequence is a term.
Step-by-step explanation:
Suppose we have three terms n+2 , n+4 and n+6 in the sequence .
These are treated as separate terms .
Suppose we have
n+ 2= 32
n+2-2= 32-2
n= 30
Again if we put
n+4=32
n+4-4= 32-4
n= 28
we get different values of n for the one solution given for all terms which shows that each term is different.
Now
if we have a different solution for each of them then
Putting the values
n+ 2= 32
n+2-2= 32-2
n= 30
Which shows n is constant but still the terms are different as each has a different value.
Hence the given number in a sequence is a different term.
and
n+4=34
n+4-4= 34-4
n= 30
Nick works two jobs to pay for college. He tutors for $15 per hour and also works as a
bag boy for $8 per hour. Due to his class and study schedule, Nick is only able to work
up to 20 hours per week but must earn at least $150 per week. If t represents the
number of hours Nick tutors and b represents the number of hours he works as a bag
boy, which system of inequalities represents this scenario?
A. t+b = 20
15t + 8b < 150
B. t+b 20
15t + 8b = 150
C. None of the systems shown represent this scenario.
D. t+b = 20
15t + 8b > 150
Answer:The answer is B.
He can't work more than 20 hours so t+b must be less than or equal to 20.
He has to earn $150 so it cannot be less than 150. Theoretically he could earn more, e.g doing 10 hours of each job which equals $230
Therefore t + b less than or equal to 20 15t + 8b greater than or equal to 150
Step-by-step explanation:
Use the Distributive Property
1/2 (2n+6m)
Answer:
n + 3m
Step-by-step explanation:
It will become 1/2 * 2n + 1/2 * 6m = n + 3n
Hawaiian volcano has an elevation of 360 feet above sea level the valley below it is 40 feet below sea level how far is it from the peak of volcano to the bottom of The Valley
Answer:
320 feet is as far from the peak from the volcano and valley.
which of the following rules shows a reduction
Answer:
I believe you're missing something.
PLEASE HELP WILL GIVE BRAINLIEST
Ari is designing a patio that will be 20 feet long and 16 feet wide. He makes a scale drawing of the patio using a scale of 1 inch to 4 feet.
The ratio of the area of the scaled drawing to the actual area of the patio is 1 square inch to _____ square feet.
Renee bought 7 potatoes at the supermarket. The shortest diameter of each, in centimeters, is shown below
Answer:
2, 3, 4
Step-by-step explanation:
Renee bought 7 potatoes at the supermarket. The shortest diameter of each,
in centimeters, is shown below.
2, 3, 4, 4, 6, 6, 7
After Renee used one potato to make dinner, the median diameter of the remaining potatoes was 5 centimeters. Which of these could be the diameter, in centimeters, of the potato Reneetsed?
Solution:
The median of a group of numbers is the middle number when the group of numbers are arranged in a sorted manner, either ascending or descending.
The median of an even group of numbers, is gotten by taken the average of the two innermost numbers.
Given that the diameter of the potato as:
2, 3, 4, 4, 6, 6, 7
Given that after removing one potato, the median of the remaining potatoes was 5 centimeters.
After removing one potato, the remaining would just be 6. 6 is an even number, hence the median would be the average of the 2 middle numbers.
To get 5 cm, it has to be the average between 4 and 6. This is only possible when a potato of diameter 2,3 or 4 is removed.
If potato with diameter 2 is removed, the remaining is 3, 4, 4, 6, 6, 7.
Median = (4 + 6) / 2 = 5
If potato with diameter 3 is removed, the remaining is 2, 4, 4, 6, 6, 7.
Median = (4 + 6) / 2 = 5
If potato with diameter 4 is removed, the remaining is 2, 3, 4, 6, 6, 7.
Median = (4 + 6) / 2 = 5
Please help! will mark brainliest if correct :) if not right, won't mark brainliest
9514 1404 393
Answer:
(d) 285.7 ft²
Step-by-step explanation:
The lateral area of a cone is given by the formula ...
A = πrh . . . . where r is the radius, and h is the slant height.
For your cone, this is ...
A = (3.14)(7 ft)(13 ft) = 285.74 ft²
The lateral area of the cone is about 285.7 ft².
Answer:
Its the second one
If the measure of ∠1=105°, what is the measure of ∠6?
Answer:
Step-by-step explanation:
x + 105 = 180
x = 75 for m<6