Given:
The length of a rectangle is 3 inches less than three times its width.
The perimeter of the rectangle is 34 inches.
To find:
The dimensions of the rectangle.
Solution:
Let x be the width of the rectangle. Then, the length of a rectangle is 3 inches less than three times its width.
Length of the rectangle = 3x-3
Now, perimeter of the rectangle is
[tex]Perimeter=2(Length + Width)[/tex]
[tex]Perimeter=2(3x-3+x)[/tex]
The perimeter of the rectangle is 34 inches.
[tex]34=2(4x-3)[/tex]
[tex]34=8x-6[/tex]
[tex]34+6=8x[/tex]
[tex]40=8x[/tex]
Divide both sides by 8.
[tex]\dfrac{40}{8}=x[/tex]
[tex]5=x[/tex]
The value of x is 5. So, width of the rectangle is 5 inches.
[tex]Length=3x-3[/tex]
[tex]Length=3(5)-3[/tex]
[tex]Length=15-3[/tex]
[tex]Length=12[/tex]
Therefore, the length of the rectangle is 12 inches and the width of the rectangle is 5 inches.
Solve this problem, and identify the percent, amount, and base.
What percent of 60 is 45?
The percentage is 75%, the amount is 45 and the base is 60 so option (D) will be correct.
What is the percentage?The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.
The percentage is also called the indicating hundredths. Thus, 2% is two-hundredth, which means 2%=2/100=0.02.
The percentage is just like the amount of that value but between 1 to 100 and it is very useful to predict for example if you say 678 then we have to know about the full number also but if you say 80% then it becomes clear.
Given that 45 is some percentage of 60
So, 60 will be the base because we are calculating the percentage of it and the amount will be 45.
Let's say 45 is x percentage of 60
Then,
60 × x/100 = 45
x = 4500/60
x = 75%
Percentage will be 75
Hence "The percentage is 75%, the amount is 45 and the base is 60".
For more about the percentage,
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Multiplying!! pls help thanks
Answer:
Step-by-step explanation:
5/7 x 3/4 = find the common denominator.
Then,
Let’s say 28.(multiply seven to the second fraction and 4 to the first.)
So,
20/28x21/28.
Then, cross multiply the numerator of the first fraction by the denominator of the second. Same for the denominator of the first and numerator of the second.
PLEASE HELP ME
Carlos needs to buy some new pencils from the school supply store. Carlos asks his classmates if they know the price for pencils. Angela says she bought 2 pencils for $0.50. Paige bought 3 pencils for $0.75, and Spencer bought 4 pencils for $1.00.
Answer:
0.25
Step-by-step explanation:
The answer is 0.25 i think
Figure ABCD is a kite.
Kite A B C D is shown. Sides A B and B C are congruent. The length of A B is 14. Sides C D and A D are congruent. The length of C D is 22.
What is the length of line segment BC?
8 units
14 units
22 units
36 units
Answer:
It's 14..... I just took the quiz
By applying the above properties of a kite, the length of line segment BC is equal to: B. 14 units.
The properties of a kite.According to geometry, the adjacent sides of a kite ABCD are always equal and a pair of opposite angles are always equal. Thus, we can logically deduce the following points:
AB = BCCD ≅ ADBy applying the above properties of a kite, the length of line segment BC is equal to 14 units because it's equal to the length of line segment AB.
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Tiffany and Brianna each bought a pair of headphones and some new songs. Tiffany bought 12 songs and spent $44, while Brianna bought 20 songs and spent $50. How much did the headphones and each song cost?
Alberts bank account decreased by a total of 193 over a period of 12 days. what was the average daily decrease in his account?
Answer:
16.08
Step-by-step explanation:
IF Alberts bank account decreased by a total of 193 over a period of 12 days, then;
193 = 12days
To determine the average daily decrease in his account, thwn;
x = 1 day
Divide both equations
193/x = 12/1
12x = 193
x = 193/12
x = 16.08
Hence the average daily decrease in his account is 16.08
what is the slope (2,6) (-1, -5)
Point A is (-9,-3) and is translated 4 left and 2 down. Where is A' at?
Answer:
A translation maps point A(3,7)A(3,7)A, left parenthesis, 3, comma, 7, right parenthesis to point A'(6,-2)A
′
(6,−2)A, prime, left parenthesis, 6, comma, minus, 2, right parenthesis. Let's determine what translation this is.
Solution
Step 1: Horizontal shift. AAA is shifted 333 units to the right because (6)-(3)=\tealD{+3}(6)−(3)=+3left parenthesis, 6, right parenthesis, minus, left parenthesis, 3, right parenthesis, equals, start color #01a995, plus, 3, end color #01a995.
Step 2: Vertical shift. AAA is shifted 999 units down because (-2)-(7)=\maroonD{-9}(−2)−(7)=−9left parenthesis, minus, 2, right parenthesis, minus, left parenthesis, 7, right parenthesis, equals, start color #ca337c, minus, 9, end color #ca337c.
The answer: AAA is mapped onto A'A
′
A, prime under a translation by \langle \tealD{3},\maroonD{-9} \rangle⟨3,−9⟩open angle, start color #01a995, 3, end color #01a995, comma, start color #ca337c, minus, 9, end color #ca337c, close angle.
Step-by-step explanation:
Answer:
To isabellacouch0382
Step-by-step explanation:
Hello, its seems like you dont know how to use Brainly, so let me explain it to you :)
YOU PUT THE ANSWER WHERE IT SAYS ANSWER AND THE explanation IN THE explanation. People have lives, dont expect them to waste time reading something you wrote.
That's all :)
write the equation for the line that has m = 4 and b = 8
There are five students wearing glasses. There are three more boys than girls wearing glasses. On your worksheet, solve the question and write your answer below. How many boys wear glasses and how many girl wear glasses?
Answer:
Four boys and one girl.
Step-by-step explanation:
Total students wearing glasses = 5
Separate the students by x and x + 3. It is x + 3 for the boys because there are three more boys wearing glasses.
Girls = x
Boys = x + 3
Total = 5
Calculate:
x + x + 3 =5
2x + 3 =5
2x = 2
x = 1
Boys wearing glasses = (1) + 3 = 4
Girls wearing glasses = 1
Starbridge Elementary raised $27,482 at its yearly Fall Festival. The money raised will be distributed evenly among 14 different classrooms. How
much money, in dollars, will each classroom receive?
Answer:
$1,963 for each classroom split exactly even
Step-by-step explanation:
(b) Write 0.06 in standard form.
Answer:
6×10^(-2)
Step-by-step explanation:
[tex]6 \times {10}^{ - 2} [/tex]
An airplane flies at a constant speed of 760 miles per hour. How long will it take to travel a distance of 3040 miles?
Answer:
760x=3040, 3040/760=4
answer=4
Step-by-step explanation:
what is the median of the data set? 38, 65, 72, 67, 80
SOMONE PLEASE HELP ME ASAPPPPPPPP!!!!!!!!! I WILL GIVE YOU A GOOD RATE AND MARK YOU THE BRAINLIEST JUST ANSWER THIS CORRECTLY AND ASAPPPPP!!!!!!! PLEASE!!!!!!!!!
since she paid $5 admission subtract it from $7.25
that is $2.25
then 2.25/ 0.75 and its 3
3 hours
Answer:
she was there for 3 hours
Step-by-step explanation:
0.75h +5.00 = x
0.75(3)+5.00 = 7.25
if u help i will give u brainliest
PLEASE HELP QUICKLY!!!
x^2 + (x+9)^2 = 45^2
Step-by-step explanation:
x^2+(x+9)^2=90
x^2+(x+9)^2-90=0
x^2+x^2+9^2+2*x*9-90=0
x^2+x^2+81+18x-90=0
2x^2+18x-9=0
1. 30-70h=30
2. 300+70h=-30
3. 300-70h=-30
4. 300+70h=30
Simplify 6 4/60 simplyfy
[tex] \sf{\dfrac{4}{60} = {\dfrac{1}{15}}} [/tex]
Can someone explain this to me please
Answer:
40
Step-by-step explanation:
Carter's speed is 60, and Vitor's speed is 100. To find how much slower, Carter was, subtract Vitor's speed from Carters. 40 is the difference.
Answer:
Carter is about 17% slower than vitor
Step-by-step explanation:
Carter is 14/60 = 23.33/100
Vitor is 40/100
have to slove for x
Answer:
x<4
Step-by-step explanation:
please help me pleeeeeeaaassseee
Answer:
Step-by-step explanation:
answer no 3:
1] Factor out the common term 2.
2(3x+y) = -26
2] Divide both sides by 2.
3x+y= -26/2
3x+y = − 13
3]Subtract y from both sides.
3x = - 13-y
4] Divide both sides by 3.
x = -13-y/3
Part 2:-
Add 6y to both sides.
x=21+6y
x=21+6y
If two line segments have the same length, which of the following must be
true?
A. They form a right angle.
O B. They are equal.
C. They are congruent.
D. They share an endpoint.
Answer:
They are congruent
Step-by-step explanation:
The Miller family drove 357 miles on Monday. They drove a total of 736 miles in 2 days. How many miles did the Miller family drive on Tuesday?
Answer:The Miller family drove 379miles on Tuesday.
Step-by-step explanation:
Amount of miles driven in two days = 736 miles
Amount of miles driven on Monday = 357miles
Therefore Amount of miles driven on Tuesday =Amount of miles driven in two days -mount of miles driven on Monday
= 736miles -357miles
=379miles
Which list orders the numbers from least to greatest?
Answer:
D)
Step-by-step explanation:
I hope this helps :)
Will mark brainliest
Answer:
b then a
Step-by-step explanation:
what is the length of AC?
• 10
• 12
• 15
• 20
ANSWER BOTH QUESTIONS WITH FULL EXPLANATION FOR BRAINLIEST
The graph of f(x) = is stretched vertically by a factor of 2 and then
shifted up 5 units to create the function g(x). What is the rule for g(x)?
Answer:
g(x)= 2x^2 + 5 should be right
Step-by-step explanation:
please help me out with this question with explanation
convert it and find its speed
in m/s
Answer:
car covers distance of 450 km in 4hr and 30min
4hr and 30 min - (4*60)+ 30 equal to 270
distance covered by car in one minute equal to 450/270 equal to 1.6 km
speed of car equal to (1.6*60)/60 equal to 1.6 km /hr