Answer:
Width = 6ft Area = 54 sq ft
Step-by-step explanation:
First, re-read the problem until you understand it and can put it into your own words. I re-wrote it like this: "Find the area of a rectangle by first finding the length (L) and the width (W)." [note that I added "find L and W," but that is how I'm going to solve the problem; I could also have said that we will need the formulas, P=2L+2W and A=LW, but you knew that already, right?).
Translate the problem:
"The length of a rectangle is 3 ft longer than its width" means
L = 3 + W (eq1)
"the perimeter of the rectangle is 30 ft" means
P = 30 (eq2)
So, now the math is easy, just find L and W so we can compute the area:
P = 30 = 2L + 2W (eq3; from eq2 and the formula for P)
30 = 2(3+W) + 2W (use eq1 to substitute for L)
30 = 6 + 2W + 2W (distribute)
30 = 6 + 4W (collect terms)
24 = 4W (subtract 6 from both sides)
6 ft = W (divide both sides by 4)
Use the easiest equation (either eq1 or else eq3) to find L:
L = 3 + W (eq1)
L = 3 + 6
L = 9 ft
What is the area (A)?
A = L*W
A = (9 ft)*(6 ft)
A = 54 sq ft
If an = a1 x 5^n-1 and a1=1
what is the value of a5?
Can someone help me it’s due today
Answer:
(19 2/3)(k)+14
Hope this Helps! :)
A 35-foot ladder is leaning against the side of a building and is positioned such that the base of the ladder is 21 feet from the base of the building. How far above the ground is the point where the ladder touches the building?
Answer:
height = 28 feet
Step-by-step explanation:
using the Pythagorean theorem:
height = 35² - 21²
height² = 1225 - 441 = 784
height = 28 feet
PLEASE HELP! 20 PTS
Choose ALL that apply for spring tides
Question 1 options:
Moon, Sun, and Earth are perpendicular
Moon, Sun, and Earth are aligned
Highest of the high tides and lowest of the low tides.
Occur twice a month
I tried A and B. and it was wrong.
Answer: The answers are B, C, and D (I took the quiz and it was right)
Answer:
B: Moon, Sun, and Earth are aligned
C: Highest of the high tides and lowest of the low tides.
D: Occur twice a month
Step-by-step explanation:
I took the test its right, trust me
I got 100
Joe goes to the store to buy jeans and some T-shirts. The jeans cost
$40 each and the T-shirts cost $20 each. If Joe spends $160 on 5 items,
how many pairs of jeans and how many T-shirts did he buy?
Answer:
Jeans: 3 T-shirts: 2
Step-by-step explanation:
40 times 3 equals 120
20 times 2 equals 40
120+40=160
Joe bought 3 pairs of jeans and 2 T-shirts.
What is the equation?The equation is defined as a mathematical statement that has a minimum of two terms containing variables or numbers that are equal.
Let's represent the number of pairs of jeans that Joe bought "x".
The total cost of the jeans would be $40 × x.
And the total cost of the T-shirts would be $20 × (5 - x).
Since Joe spent a total of $160, we can set up an equation to solve for x:
$40 × x + $20 × (5 - x) = $160
Expanding the second term:
$40 × x + $20 × 5 - $20 × x = $160
Combining like terms:
$40 × x + $100 - $20 × x = $160
Subtracting $100 from both sides:
$40 × x - $20 × x = $60
Combining like terms:
$20 x = $60
Dividing both sides by $20:
x = 3
So he bought 3 pairs of jeans and 5 - 3 = 2 T-shirts.
Learn more about the equations here:
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#SPJ5
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
x = 3.6
Step-by-step explanation:
Since, ABCD ~ EFGH
Therefore, all interior angles of both the quadrilaterals will be equal and the corresponding sides of both quadrilaterals will be proportional.
[tex]\frac{AD}{EH}=\frac{AB}{EF}[/tex]
[tex]\frac{x}{2.4}=\frac{3}{2}[/tex]
x = [tex]\frac{3\times 2.4}{2}[/tex]
x = 3.6
Given the figure, what is the m ZAOB?
C
25°
D
A
46
Answer:
C is may answers
I HOPE IS HELPS
I need to know this answer right now please help and thank you
Answer:
your answer would b b haha puns
What is the distance of segment BF (look closely...it isn't drawn)?
Round to the nearest hundredth.
Jimmy Walked a total of 6 miles last week. This week, he walks 2 miles each hour. If he walks 6 hours this week, how many miles will he have walked in all?
Answer:
18 miles
Step-by-step explanation:
Find how many miles he walked this week by multiplying 2 by 6:
2(6)
= 12
Add this to 6, since he walked 6 miles last week:
12 + 6
= 18
So, in all, he will have walked 18 miles
Which expression represents the difference of 15 and s, increased by 4?
A. (15 + s) - 4
B. (4 + s) + 15
C. (4 - s) + 15
D. (15 - s) + 4
can someone help me please!!
Answer:
55°
Step-by-step explanation:
∠KJL=180° - 125 = 55°
KL=KJ
so, ∠KJL= ∠KLJ =55°
Please explain how you got your answer!
Answer: b =50°
Step-by-step explanation:
The angles on a straight line =180°
180° = 50°+90°+b
180°-50°-90°=b
50° = b
Answer:
Step-by-step explanation:
∠b + ∠a + 50° = 180°
∠b + ∠90 + 50° = 180°
∠b = 180° - 90° - 50° = 40°
fill in the missing steps of the following sequence:
104, 60, __, 27, 21.5
Answer:
38
Step-by-step explanation:
reducing by half of 44, half of 22, half of 11
Line segment AB has endpoints A(5,−8) and B (1,−12). Which of the following is the approximate lenght of line segment AB?
Answer:
square root of (1-5)²+(-12+8)²
square root of (16+16)
square root of 32
solve-1/8<34 then graph it
Answer:
This isn’t really a valid equation, so I’m guessing you forgot to type something.
Step-by-step explanation:
How does a NEGATIVE coefficient effect the parent function?
HELP PLEASEEEEEE!!!!!
• ¿Cuál es la pendiente de la recta que pasa por los puntos (10.6) (10,6) y (9,52 (9,5)? Escribe tu respuesta en la forma más simple.
Answer:
isjdiwkidsosjsosos
Step-by-step explanation:
hola idnskdnsomsx
Q3
A group of scientists collected data on 700 birds in the area. They determined that
12 out of every 35 birds were blue. Based on the results of the study, how many
birds in the population were NOT blue? (7.60. SS, RCA)
Answer: 240 birds are blue
Step-by-step explanation:
Takes 35 x 2=70 so 20 x 35 is 700 then do 12 x 20 and your answer is 240
1/2x13x6=?
What is this? I need help!
PLEASE EXPLAIN THIS 6th GRADE MATH
Answer:
[tex]b = l\times w[/tex] to guarantee that both formulas are the same.
Step-by-step explanation:
Dimensionally speaking, the volume is the cube of length. By direct comparison, we find that [tex]l,w,h[/tex] have length units, whereas [tex]b[/tex] have area unit, that is, the square of length.
Hence, [tex]b = l\times w[/tex] to guarantee that both formulas are the same.
A mother is 3 times as old as her daughter.In 12 years time she will be twice as old as her daughter will be then. How old is the mother now?
Answer:
The mother will be 36.
Step-by-step explanation:
Answer:
36
Step-by-step explanation:
just multiply 12 and 3
The store paid 2.50 for a book and sold it 5.25%. What is the percent?
Write the equation of the line (in slope-intercept form) that passes through the points (1, 6) and (2, 8).
Answer:
y = 2x + 4
Step-by-step explanation:
Figure out the slope.
y2 - y1 / x2 - x1 8 - 6/ 2 - 1 = 2
Find out the y-intercept. Your equation so far is y = 2x + b.
8 = 2(2) + b
8 = 4 + b
4 = b
*EXTRA POINTS- SOMEONE PLS HELP ITS AN 8TH GRADE WORD PROBLEM*
Suppose a video store charges nonmembers $4 to rent each video. A store membership costs $21 and members pay only $2.50 to rent each video. For what number of videos is the cost the same?
Answer:
You need to rent
14
videos, and you'll pay the same amount for both. Renting
15
will make the membership a better method of payment.
Explanation:
We can create an equation. Say the number of videos you rent is given by
n
. We can write that, if we rent
n
videos without membership, we'll have to pay
4
n
. If we rent the same amount of videos with membership, we'll have to pay
21
+
2.5
n
.
To find the value of
n
such that the amount you pay without membership is equal to the amount you pay with, we write:
4
n
=
21
+
2.5
n
1.5
n
=
21
n
=
21
1.5
n
=
14
You need to rent
14
videos, and you'll pay the same amount for both. Renting
15
will make the membership a better method of payment.
Simplify the sum. State any restrictions on the variables.
X-2/x+3 + 10x/(x^2)-9
Please show all work and don’t forget the restrictions!
The resulting expression will be [tex]\frac{x+2}{x-3}\\[/tex]
How to simplify fractional sumGiven the expression as shown in the question:
[tex]\frac{x-2}{x+3} + \frac{10x}{x^2-9}[/tex]
Find the LCM of the expression to have:
[tex]\frac{(x-2)(x-3)+10x}{(x+3)(x-3)}[/tex]
Expand the expression
[tex]\frac{(x^2 - 5x+6+10x}{(x+3)(x-3)}\\\frac {x^2 + 5x+6}{(x+3)(x-3)}\\[/tex]
Expand the expression
[tex]=\frac {x^2 + 2x + 3x +6}{(x+3)(x-3)}\\=\frac {x(x + 2) + 3(x +2)}{(x+3)(x-3)}\\=\frac{(x+2)(x+3)}{(x+3)(x-3)}\\ =\frac{x+2}{x-3}\\[/tex]
Hence the resulting expression will be [tex]\frac{x+2}{x-3}\\[/tex]
Learn more on expansion here: https://brainly.com/question/52825
11 POINTS
why does drilling a hole in the block add and subtract surface area from the solid? 1
Answer:
ghththbtbgybybnuinini
A town's population went from 40,000 to 50,000. What was the percent of change in the population?
solve 5x + 17 = 3x - 7 pleaseeeee hurryyy
Answer:
14 141414141414114141411
Answer: