the length of a rectangle is 3 inches more than it’s width. if the perimeter is 42 inches, find the dimensions of the rectangle
Answer:
length = 12
width = 9
Step-by-step explanation:
We can use a system of linear equations to solve this problem. Lets make the variable L represent length and W represent width.
So we know that the length is 3 more than the width. An equation for this would be:
W = L - 3
We also know that the perimeter is 42 inches. The perimeter of a rectangle, using the variables L and W, is 2L + 2W, or 2(L + W). Using this, we can make the equation:
2(L + W) = 42
We can simplify the last equation by dividing both sides by 2:
L + W = 21
So now we have the two equations:
W = L - 3
L + W = 21
From here, there are multiple ways this question can be solved. I am going to use the substitution method here.
Knowing that W = L - 3, we can replace W in the second equation with L - 3.
L + L - 3 = 21
Add 3 to both sides.
2L = 24
Divide both sides by 2.
L = 12
Now we know that L = 12. Using this, we can replace L with 12 in the first equation to solve for W.
W = 12 - 3
W = 9
So:
L = length = 12
W = width = 9
I hope you find my answer helpful.
What is the equation of the line passing through the points (–5, –2) and (3, 14) in slope-intercept form?
Answer:
2x-y+2= 0
Step-by-step explanation:
(-5,-2)=(x1, y1)
(3, 14) =(x2, y2)
now,
slope(m)= y2-y1 / x2-x1
=14+2 / 3+5
= 16 /8
=2 units
passing point = (-5,-2) = x1,y1
now,
eqn of the line can be represented as,
y -y1 = m (x-x1)
y +2 = 2 (x +5)
y+2 = 2x +10
y = 2x+10-8
0 = 2x+2-y
2x-y+2 =0 is the required eqn
Answer:
licker 90000000000000000
Find the slope of the line passing through (-2,-3) and (2,7).
1/3,-1,☑8,4.5 which ones greater?
Answer:
8
Step-by-step explanation:
Arrange the terms in ascending order.
[tex]-1, \frac{1}{3}, 4.5, 8[/tex]
The maximum value is the largest value in the arranged data set.
8
A baseball diamond is a square that measures 90 feet on each side. How far does the third baseman have to throw the ball to reach first base?
pls help
Answer:
127.28
Step-by-step explanation:
The formula for the diagonal of a square is:
Diagonal = The square root of: 2, multiplied by the length of one side.
K is the midpoint of JL. JK = 2x + 5 and JL = 50.
To solve for x, Steve sets up the following equation: 2x + 5 = 50
Explain the error in Steve's equation.
Classify the following number as rational or irrational 8\5,pi,0,1,4.466...,-6,2
Answer:
8/5 = Rational
Pi = Irrational
0 = Rational
1 = Rational
4.466... = Rational
-6 = Rational
2 = Rational
Step-by-step explanation:
Any number that can be written as a fraction with integers is a rational number. The only way something can be irrational is if it goes on forever with no pattern. Hope this helps.
sum of the numbers m and n decreased by their product; write the algebraic expression
You can write mn as m*n
=================================
Explanation:
The sum is the result of adding two or more numbers. Saying the sum of m and n means m+n.
Then we subtract off the product of m and n. The product is the result of multiplying m and n. We say m*n or mn to indicate their product.
Overall, we end up with m+n-mn
Graph the line.
y+2x = -2
x
-6
2
4
6
00
can someone help me with this??
Answer:
below
Step-by-step explanation:
I graphed the function using a graphing tool
Help please
Find the mean, median, and mode
7, 9, 2, 4, 2, 6
Answer:
Mode: 2; Median: 5; Mode: 5
Step-by-step explanation:
list some odd numbers less than 21
Answer:1,3,5,7,9,11,13,15,17,19,21,23,25,27,29,31
Step-by-step explanation:
Answer:
1,3,5,7,9,11,13,15,17,19
If ABF= (7x + 20), FBC=(2x - 5), and ABC= 159", find the value of x. x =
Given :
∠ABF = ( 7x + 20 )°
∠FBC=(2x - 5)°
∠ABC= 159°
To Find :
The value of x .
Solution :
Assuming B the center of a circle .
So , all three given angles must be added to 360° .
[tex](7x+20)+(2x-5)+159=360\\\\9x+15+159=360\\\\x=20.67[/tex]
Therefore , the value of x is 20.67° .
Hence , this is the required solution .
Is -9 rational, integer, whole, natural, or irrational?
Answer:
it is a rational, and integer
Answer:
Now according to the definition, 0 is a real number, a rational number, an integer and also a whole number but neither an irrational number nor a natural number. Answer: 0 is a rational number, an integer and also a whole number but neither an irrational number nor a natural number
Step-by-step explanation:
Hope this helps
What is the answer for 10+2(10n+4)
Answer:
20n + 18
Step-by-step explanation:
10 + 2(10n + 4)
10 + 20n + 8
20n + 18
Hey there!
[tex]Answer:\boxed{20n+18}[/tex]
[tex]Explanation:[/tex]
[tex]10+2(10n+4)[/tex]
Let's start by distributing.
[tex]10+(2)(10n)+(2)(4)\\10+20n+8[/tex]
Now combine like terms.
[tex]10+20n+8\\(20n)+(10+8)\\20n+18[/tex]
[tex]\boxed{20n+18}\text{ is the answer.}[/tex]
Hope this helps!
[tex]\text{-TestedHyperr}[/tex]
Simply the equation 1 1/2
it's already simplified
what is the sum of this arithmetic series?
Answer:
52
Step-by-step explanation:
The ' easiest' method here is to substitute k = 1, 2, 3, 4 into the expression and sum the terms, that is
(- 2 + 6(1) ) + ( - 2 + 6(2) ) + ( - 2 + 6(3) ) + (- 2 + 6(4) )
= (- 2 + 6) + (- 2 + 12) + (- 2 + 18) + (- 2 + 24)
= 4 + 10 + 16 + 22
52
Equation- s=db-6, solve for d
Answer:
[tex]d \: = \frac{s + 6}{b} [/tex]
Step-by-step explanation:
[tex]s = db - 6[/tex]
Isolate d
[tex]s + 6 = db[/tex]
.
Divide both sides of the equation by b
[tex] \frac{s + 6}{b} = \frac{db}{b} [/tex]
Simplify
[tex] \frac{s + 6}{b} = d \\ d = \frac{s + 6}{b} [/tex]
f there are 26 students in each third-grade class and 3 third-grade classes in the school, how many students will attend an assembly for third graders if a total of 4 students are absent?
Answer:
74 students
Step-by-step explanation:
26x3=78
78-4=74
Each large cookie is 5/6 oz and each small cookie is 4/9 oz.what is the total weight of 2 large cookies and small cookie? Help asap
Answer:
2 1/9 or 19/9 depends on what answer is required/you want to use
Step-by-step explanation:
First, common denominator
Big cookie = 15/18 oz
Small cookie = 8/18 oz
15*2=30
30+8=38
38/18 = total weight of 2 large and 1 small
2 2/18 mixed fraction
2 1/9 Simplest answer
The total weight of 2 large cookies and small cookie is 2 1/9 oz
Given:
Weight of each large cookie = 5/6 oz
Weight of each small cookie = 4/9 oz
Total weight of 2 large cookies and small cookie = 2(Weight of each large cookie) + Weight of each small cookie
= 2(5/6) + 4/9
= 10/6 + 4/9
= (30+8) / 18
= 38/18
= 2 2/18
= 2 1/9 oz
Therefore, the weight of 2 large cookies and small cookie is 2 1/9 oz
Read more:
https://brainly.com/question/9590043
.Rebecca's volleyball team is purchasing jerseys. The company charges $150 for a one time set-up fee and $25 for each printed jersey. Which expression represents the total cost of x number of jerseys for the team? *
2 points
Answer:
y= 25x+150
Step-by-step explanation:
x is the constant rate,which is 25.
and y is the starting number which is 150
12x2= plz get it right plz
it is 24
12x2=12+12=24
i need help in these pretty please :)
Answer:
see below
Step-by-step explanation:
1.
= 84 / 3 = 28
= 2 * 28 = 56
= 1 * 28 = 28
2.
280 / 8 = 35
= 3 * 35 = 105
= 5 * 35 = 175
3.
2100 / 7 = 300
= 4 * 300 = 1200
= 3 * 300 = 900
4.
420 / 6 = 70
= 1 * 70 = 70
= 2 * 70 = 140
= 3 * 70 = 210
5.
360/8 = 45
45 * 5 = 225
45 * 1 = 45
45 * 2 = 90
6.
1000 / 25 = 125
jenny = 125 x 5 = 625
chris = 125 x 3 = 375
7.
3000 / 10 = 300
fred = 7 * 300 = 2100
freda = 3 * 300 = 900
8.
2842 / 7 = 406
adults = 5 * 406 = 2030
children = 2 * 406 = 812
Answer:
Step-by-step explanation:
1.
84 / 3 = 28
2 * 28 = 56
1 * 28 = 28
2.
280 / 8 = 35
3 * 35 = 105
5 * 35 = 175
3.
2100 / 7 = 300
4 * 300 = 1200
3 * 300 = 900
4.
420 / 6 = 70
1 * 70 = 70
2 * 70 = 140
3 * 70 = 210
5.
360/8 = 45
5 * 45 = 225
1 * 45 = 45
2 * 45 = 90
6.
1000 / 25 = 125
jenny = 125 x 5 = 625
chris = 125 x 3 = 375
7.
3000 / 10 = 300
fred = 7 * 300 = 2100
freda = 3 * 300 = 900
8.
2842 / 7 = 406
adults = 5 * 406 = 2030
children = 2 * 406 = 812
f(x)=2x-2
Find f(3b)
Dan spent $19.95 for a shirt, $39.99 for slacks and
$29.88 for a belt. What is a good estimate of how
much he spent on clothes?
A. $60.00
B.
$70.00
C.
$90.00
D.
S100.00
Which algebraic expressions are polynomials? Check all that apply.
Answer:
1, 2, 5
Step-by-step explanation:
other person was wrong... there wasn't even a 6th option.. PLSPLS
Answer: 2 , 3 , 5 , 6
Step-by-step explanation:
2. x3y – 3x2 + 6x
3. y2 + 5y – StartRoot 3 EndRoot
5. –x + StartRoot 6 EndRoot
6. –one-thirdx3 – one-halfx2 + one-quarter
what is the greatest and least number that can be rounded to 120,000
Answer:
119,999
Step-by-step explanation:
hope it helps
1. Define a Transformations and a reflection. What is the
difference between them?
Answer:
More advanced transformation geometry is done on the coordinate plane. The transformation for this example would be T(x, y) = (x+5, y+3). A reflection is a "flip" of an object over a line.
An angle measures 124º more than the measure of its supplementary angle. What is the measure of each angle?
Answer:
I believe 152 and 28
Step-by-step explanation:
What are the 8 exponent laws?
Answer:
Step-by-step explanation:
Answer:
Product rule Power rule Quotient rule Negative exponent ruleZero exponent rule Adding/subtracting (like terms only).Step-by-step explanation:
One Rule ; [tex]x^1 =x[/tex]
Zero Rule [tex]x^0 =1[/tex].
Product Rule ; [tex]x^m x^n = x^m^+^n[/tex]
Quotient Rule; [tex]x^m/x^n = x^m^-^n[/tex]
Power Rule; [tex](x^m)^n=x^m^n[/tex]
Tower Rule [tex]a^{m^n}[/tex]
Fraction Rule [tex]a^\frac{1}{n} =\sqrt[n]{a^1}[/tex]
Which of the following could be the number shown on the number line?
A. 24
B. 20
C. 26
D. 27
Answer. 24
Step-by-step explanation: With every number starting with 2 count the number line up it doesn't past 5 or on 5 so it's not 5. It's past 4 so whats your answer?
Brainliest please I took this very seriously.
