Answer:
a) Area = 2x² + 3x - 2
b) Perimeter = 64x + 28
c) Length = 60 feet and Width = 50 feet
Step-by-step explanation:
It is given that:
Length of building = 12x + 24
Width of building = 20x - 10
Area = Length * Width
Area = (12x + 24) * (20x - 10)
Area = 12x(20x - 10) +24(20x-10)
Area = [tex]240x^2-120x+480x-240[/tex]
Area = [tex]240x^2+360x-240 = 2x^2+3x-2[/tex]
Perimeter = 2 (Length + Width )
Perimeter = 2 (12x + 24 + 20x - 10 ) = 2 (32x +14 )
Perimeter = 64x + 28
Putting Perimeter = 220
220 = 64x + 28
64x = 220 - 28
64x = 192
Dividing both sides by 64
x = 3
Length = 12(3) + 24 = 36 + 24 = 60 feet
Width = 20(3) - 10 = 60 - 10 = 50 feet
Therefore,
a) Area = 2x² + 3x - 2
b) Perimeter = 64x + 28
c) Length = 60 feet and Width = 50 feet
What numbers are included in the set of integers? What numbers are not included
Answer:
sample response: Integers are the set of whole numbers and their opposites. Fractions and decimals are not included in this set.
Step-by-step explanation:
Pls help ASAP. Mai solved the equation below incorrectly. Identify Mai's error then solve the equation correctly.
I NEED HELP ✋!!!!!!!!!!!!!!!!!!!L!!!!!!!!!!!!
Which number is not prime A.29 B.99 c.71 d.3
Answer:
sum like 99 becuz isz ur safest bet to get it right
Hey there!
Prime numbers are basically only approximately 2 FACTORS... 1 & that particular number
3 is PRIME because the only factors it has is 1 & 3 (so we can eliminate this as your possible answer)
29 is PRIME because it has 1 & 29 as its factors (we can eliminate this as your possible answer)
71 is PRIME because it has 1 & 71 as its factors as well! (So we can eliminate as your possible answer)
This leads Option B as your answer
Good luck on your assignment and enjoy your day!
~LoveYourselfFirst:)
convert 1 1/2 ft. to inchs
Marcel and Floyd are playing games at an arcade. Marcel has $8.25 and is only playing $0.25 games. Floyd has $9.75 and is only playing $0.75 games. Jorge wants to find the number of games after which Marcel and Floyd will have the same amount of money remaining. Jorge’s work is shown below.
Let x = the number of games played.
Equation: 8.25 minus 0.25 x = 9.75 minus 0.75 x. Step 1: negative 1.50 minus 0.25 x = negative 0.75 x. Step 2: negative 1.50 = 0.50 x. Step 3: negative 3 = x.
Jorge knows his answer is incorrect because it does not make sense to have a negative number of games. What is Jorge’s error?
The variable x should represent the amount of money left.
From Step 1 to Step 2, Jorge did not add 0.25x correctly to both sides.
The equation should have sums on both sides.
From Step 2 to Step 3, Jorge should have subtracted 0.50x from both sides.
Answer:
The variable x should represent the amount of money left.
Step-by-step explanation:
im not sure but this one makes sense
Answer:
The Answer to this problem is (A)
St)ep-by-step explanation:
The variable x should represent the amount of money left.
If you use 20 cups of flour, how many teaspoons of vanilla should you use? *
Answer:
1/16
Step-by-step explanation:
You should use 1/16 teaspoons of vanilla for the 20 cups of flour that u used
Is the expression a polynomial? If so, is it a monomial, binomial or trinomial? 8x-2
help please
Answer:
Its a binomial because there are only 2 terms. and 1 sign telling you to do work
Step-by-step explanation:
Can I get some help with this question please?
Answer:
g would be 130 because it's a vertical angle with the 130 angle. h is 50 because it has to complement the 130 angle.
K is 74 because it's a vertical angle with the 74 angle, and m is 106 because it needs to complement with k.
Colin buys a tv for £800. It depreciates at a rate of 1% per year. How much will it be worth in 2 years? Give your answer to the nearest penny where appropriate
Answer:
708
Step-by-step explanation:
Answer
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Given:
The cost of the T.V. for Colin = £ 800.
The rate of depreciation per year = 4%
Time period = 3 years
To find:
How much will it be worth in 3 years? Give your answer to the nearest penny where appropriate.
Solution:
To solve the above-given problem, we will use the following formula:
where
A = the final value after depreciation
P = the present value
R = rate of depreciation
n = time period
Now, on substituting the given values in the formula, we get
we will round the above answer to its nearest penny where appropriate
≈ £ 708
Thus, the worth of the t.v. in 3 years will be £ 708.
A line passes through the points (10, 6) and (5, -2). What is its equation in slope-intercept form?
Answer:
10=x
6=y
5=x
-2=y
10-5=5
6--2=8
5/8=0.625
y=mx+b
Step-by-step explanation:
The equation of a line in slope-intercept form through the points (10, 6) and (5, -2) y = (4/5)x - 6.
What are lines and their slopes?We know lines have various types of equations, the general type is
Ax + By + c = 0, and the equation of a line in slope-intercept form is
y = mx + b.
Where slope = m and b = y-intercept.
the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at
x = 0.
Given, A line passes through the points (10, 6) and (5, -2).
We know the equation of a line in slope intercept form is y = mx + b.
Where slope(m) = (- 2 - 6)/(5 - 10).
slope(m) = - 8/-10.
slope(m) = 4/5.
Now for the y-intercept,
- 2 = (4/5)×5 + b.
- 2 = 4 + b.
b = - 6.
Therefore the required line in slope-intercept form is y = (4/5)x - 6.
learn more about lines and slopes here :
https://brainly.com/question/3605446
#SPJ2
Match the vocabulary terms to the correct definitions.
1. the set of second coordinates in a relation, all possible y values in a function
linear function
2. a function which has one or two variables with no powers, this functions’ graph will always be a straight line
domain
3. the set of first coordinates in a relation, all possible x values in a function
range
4. a function which contains an expression within absolute value symbols
absolute value function
Answer:
Linear Function - A function that has one or two variables with no powers, this graph will always be a straight line. Domain - the set of second coordinates in a relation, all possible y values in a function . Range - the set of first coordinates in a relation, all possible x values in a function . Absolute Value function - A function which contains an expression within absolute value symbols . Step-by-step explanation: To be honest i guessed so if theses are wrong i am sorry . I really just wanted to help .
Linear Function - A function that has one or two variables with no powers, this graph will always be a straight line.
Domain - the set of second coordinates in a relation, all possible y values in a function .
Range - the set of first coordinates in a relation, all possible x values in a function . Absolute Value function -
A function which contains an expression within absolute value symbols .
Step-by-step explanation: To be honest i guessed so if theses are wrong i am sorry . I really just wanted to help .
−5t=−45
Help
I need help thanks
Answer:
t=9
Step-by-step explanation:
3x 10'4+ 2.5 x 10’5 =
there are 60 inches in 5 feet how many inches are in 8 feet
Question is on the picture and thank you!
Answer:
j
Step-by-step explanation:
u need to multiply length x width for both then once you got your answer for both add them to get your answer
The granola Summer buys used to cost $6.00 per pound, but it has been marked up 15%.
How much does it cost her to buy 2.6 pounds of granola at the new price?
Answer: $17.94
Step-by-step explanation:
Find the length of a segment in the coordinate plane with endpoints (-1,3) and (4, 5).
Answer:
square root 29
Step-by-step explanation:
use the distance formula sqrt(x2-x1)^2+(y2-y1)^2
sqrt(-1-4)^2+(3-5)^2= sqrt 29.
8) There are 14 animals in the barn. Some
are geese and some are goats. There are
52 legs in all. Ilow many of each animal
are there?
Answer:
There are 12 goats and 2 geese.
Step-by-step explanation:
X = geese; Y = goats
Geese have 2 legs each. Goats have 4 legs each.
2x + 4y = 52
There are 14 animals
x + y = 14
x = 14 - y
(replacement)
2(14 - y) + 4y = 52
(simplify)
28 - 2y + 4y = 52
28 + 2y = 52
2y = 24
y = 12
14 - 12 = 2
x = 2
miriam's house is 232 feet above the sea level, and silvia's house is 29 feet above sea level. about how many time's higher than sea level is miriam's house than silvia's?
Answer:
Step-by-step explanation:
about 9 because
5. Priya can bike 150 meters in 20 seconds. At
this rate, how long would it take her to bike
3,000 meters?
Answer:
400 seconds
Step-by-step explanation:
Divide 3000/150 = 20
20 x 20 seconds = 400 seconds
My math teacher is strict. My previous math teachers was strict. What can you say about all math teachers?
Answer:
My math teacher is nice and they understand me when I didn't talk (which is everyday) but they didn't pressure me when I don't want to talk.
Step-by-step explanation:
Answer: so try to complement him or her everyday try to give them a best day for them not to be so stricked
Step-by-step explanation: Teachers are some of the most unsung heroes we have. ...
Here are some of the best compliments you can give to the teachers in your life.
Thank you. ...
We appreciate you. ...
You deserve a break. ...
Your sacrifices don't go unnoticed. ...
You've made a positive difference in my life. ...
I never forgot this one thing you said to me.
PLZ ANSWER QUICK IT WILL HELP A LOT!
Answer:
B
Step-by-step explanation:
Mr Lee has a family of 6 people and Mrs Scarlett has a family of 4. They were given 15 kg of chocolate
when they visited a chocolate factory for work. If they decide to share it so that each family
member gets an equal amount, determine the required ratio and hence calculate how much
chocolate Mr Lee and Mrs Scarlett will each take home to their families.
Answer:
Mr Lee gets 9kg
Mrs Scarlett gets 6kg
Step-by-step explanation:
First, we have 15kg of chocolate and a total of 6 + 4 = 10 people.
We want to divide the 15kg of chocolate evenly between these 10 people, then we just need to do the quotient
15kg/10 = 1.5kg
This means that each person gets 1.5 kg of chocolate.
Now, Mr. Lee has a family of 6 people, and each one of these 6 people got 1.5 kg of chocolate, then the total amount of chocolate that Mr. Lee will bring home is 6 times 1.5kg:
6*1.5kg = 9kg
And Mrs Scarlett will get the remaining, that is:
15kg - 9kg = 6kg
Mrs Scarlett will get 6kg of chocolate.
How could you distinguish between traveling west at 5 miles per hour and traveling east at 5 miles per hour without using the words “east” and “west”?
Answer:
maybe you can say traveling to the left (west) and right(east) five miles per hour.
Step-by-step explanation:
i'm sending a lot there 14 i've been sick
Answer:
linear
Step-by-step explanation:
feel better
Answer:
Linear is that y=ax
And a=slope=(y-y)/(x-x)
a=(3-1)/(1-0)=2/1=2
If it is linear then take point A(3,10) and replace it in the equation y=2x
Then 10 is not equal to 2(3) which is 6
Then the answer is nonlinear function
I hope it is clear now
A person build a a scale model
Of a building using a scale in which 3
Inches represent 40feet the Heath of the building is 249
Feet what is the Heath of the scale model in inches
Diego is 59.5 inches tall his brother is 40.125 inches tall how many inches taller then his brother is diego
Answer:
The correct answer is 19.375
Answer:
19.375in.
Step-by-step explanation: You take 59.5In. and you minus it from 40.125In.
if the current price of an xbox is $620.00, buy microsoft puts a new xbox two out on the market for $620.00, what price below would microsoft most likely sell the xbox one for?
An apple watch that sold for $200 was on sale for $120.
What was the percent of discount?