A field is a rectangle with a perimeter of 1240 feet. The length is 400 feet more than the width. Find the width and length of the rectangular field.
The width
Answers
Answer: The length is 510 and the width is 110.
Step-by-step explanation:
To find the area of a rectangle, you will have to add the 2 times the length plus 2 times the width because a rectangle have 4 sides. Two widths and two lengths.
You can now use the formula P= 2l + 2w
were P is the perimeter , l is the length, and w is the width.
the length is 400 more than the width, so we can represent that by the equation, l = w + 400
And now we know that the width is w.
So now we will input the perimeter, length, and into the formula to solve for w.
1240 = 2(w + 400) + 2w
1240 = 2w + 800 + 2w
1240 = 4w + 800
-800 -800
440 = 4w
w = 110
L= 110 + 400
L = 510
Check :
1240 = 2(510) + 2(110)
1240 = 1020 + 220
1240 = 1240
Related Questions
Pier 1 Imports is running a 10% sale on furniture. If Amanda spent $378.99 on furniture before tax, what was the price of the furniture before the discount and tax?
Answers
Answer:
$421.10
Step-by-step explanation:
If the discount is 10%, that means the sale price is 90% of the original price.
Write the equation that represents that:
378.99 = 0.9x. Solve for x. Divide both sides by 0.9
378.99/0.9 = 421.10
That is the price before the discount and tax.
The radii of the pedal sprocket, the wheel sprocket, and the wheel of the bicycle in the figure are 4 inches, 2 inches, and 14 inches, respectively. A cyclist is pedaling at a rate of 1 revolution per second.
(a) Find the speed of the bicycle in feet per second and miles per hour.
ft/sec
mph
(b) Use your result from part (a) to write a function for the distance d (in miles) a cyclist travels in terms of the number n of revolutions of the pedal sprocket.
d =
(c) Write a function for the distance d (in miles) a cyclist travels in terms of time t (in seconds). Compare this function with the function from part (b).
d =
Answers
PLEASE HELP !!! ILL GIVE BRAINLIEST!! *DONT SKIP* ILL GIVE 40 POINTS.
Answers
Answer:
5.5
Step-by-step explanation:
A stack of 500 pieces of paper is 1.9 inches tall. How thick is each piece of paper?
Answers
Answer:
0.00375 inches thick
which one is the answer
Answers
Answer:
Two
Step-by-step explanation:
.3x+.65 x 175=.50(x+175)
Can you please explain this step by step? Kinda confused about how to figure it out.
Answers
Answer:
[tex]x=131.25[/tex]
Step-by-step explanation:
[tex]0.3x+0.65*175=0.5(x+175)[/tex]
[tex]0.3x+113.75=0.5x+87.5[/tex] (Simplify both sides of the equation by multiplying on the LHS and distributing on the RHS)
[tex]0.3x+113.75-0.5x=0.5x+87.5-0.5x[/tex] (Subtract [tex]0.5x[/tex] from both sides of the equation to get all [tex]x[/tex] terms to one side)
[tex]-0.2x+113.75=87.5[/tex] (Simplify)
[tex]-0.2x+113.75-113.75=87.5-113.75[/tex] (Subtract [tex]113.75[/tex] from both sides of the equation to isolate [tex]x[/tex])
[tex]-0.2x=-26.25[/tex] (Simplify)
[tex]\frac{-0.2x}{-0.2} =\frac{-26.25}{-0.2}[/tex] (Divide both sides of the equation by [tex]-0.2[/tex] to get rid of [tex]x[/tex]'s coefficient)
[tex]x=131.25[/tex] (Simplify)
Hope this helps!
solve if x=11. x+44/2x
Answers
Answer:
substitute 11 into the equation:
[tex]\frac{11+44}{2(11)}[/tex] = [tex]\frac{55}{22}[/tex] or 2.5
Answer:
253
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightStep-by-step explanation:
Step 1: Define
x + 44/2x
x = 11
Step 2: Evaluate
Substitute in x: 11 + 44/2(11)[BPEMDAS] Divide: 11 + 22(11)[BPEMDAS] Multiply: 11 + 242[BPEMDAS] Add: 253the triangle Loom is made from wood strips shaped into a 45 45 90 triangle. pegs are placed every half inch along the hypotenuse and every quarter inch along each leg. suppose you make a loom with an 18 inch hypotenuse. approximately how many pegs will you need
Answers
Answer:
36 pegs (for the hypotenuse)
About 51 pegs (for the legs)
138 pegs (total)
Step-by-step explanation:
Along the hypotenuse, the pegs are placed every half-inch. That would make 2 pegs per inch. Multiply 2 x 18 to get 36.
The legs are each 9 sqrt 2. This is 12.7279220614. The pegs are placed at each quarter inch for the legs. This is 4 per inch. So multiply 12.7279220614 x 4 to get 50.9116882454. Round this to 51.
Add 51 + 51 for the legs total pegs. You get 102. Add 102 + 36 to get 138 pegs total.
Hope it helps!
Jolyn was paid $340 last week working 17 hours. What was Jolyn’s hourly pay? Do not include the units in your answer
Answers
Answer:
20
Step-by-step explanation:
It is mentioned that Jolyn made $340 in 17 hours last week. In order to evaluate this, you'll have to divide the money earned by the hours worked.
[tex]\frac{340}{17} =20[/tex]
Therefore, Jolyn makes $20 an hour as 20 x 17 = 340 which is correct,
What decimal does the model represent?
The model below is shaded to represent 2
A 25.6
2.056
2.56
0.256
Answers
Answer:
2.56
Step-by-step explanation:
digits to write the value of the 5 in this number.587,096
Answers
Answer: what does the question even mean
Step-by-step explanation:
10 points
Howie planted a tree in his front yard three months, one week, and two days ago. If today is May 15th, what day did Howie plant the tree in his yard? A. February 6 B. February 15 C. August 15 D. August 24
Answers
Answer:
February 6th
Step-by-step explanation:
3 months before may 15 is February 15. Subtract 9 from 15 (1 week and 2 days) and you get 6 which leads you to your answer.
Answer:
FEB 16
Step-by-step explanation:
Would the hypotenuse of a right triangle with a vertical length of 6 and a horizontal length of 10 have the same slope as the hypotenuse of the blue and red
triangles shown in the graph?
Answers
1. Vertical 6, horizontal 10
6/10 = 3/5 slope
2. (Red) vertical -2, horizontal 3
-2/3 does not equal 3/5
3. (Blue) vertical 4, horizontal 6
4/6 = 2/3 but does not equal 3/5
A(n)?
is a number that is a multiple of two or more numbers.
Answers
The width of a rectangle is (5x + 2) inches and the length is (6x − 7) inches. Find the area of the rectangle.
Answers
Answer:
30x² − 23x − 14Explanation:
Area = Length · WidthLength: (6x - 7)
Width: (5x + 2)
Create An Equation(6x - 7) (5x + 2)
= (6x + −7)(5x + 2)
(6x)(5x) + (6x)(2) + (−7)(5x) + (−7)(2)
= 30x² + 12x − 35x − 14
30x² − 23x − 14- PNW
A restaurant chef made 4 1/2 pints of mushroom soup Each bowl of soup holds 1/2 of pint. How many bowls of soup will.the chef be able to fill?
Answers
Answer:
4 2/4
Step-by-step explanation:
4 1/2 + 1/2 = 4 2/4
i just added em up
Answer:
Step-by-step explanation: 4 1/2 pints / 1/2 pint/ bowl = (9/2) / (1/2) = 9/2 pints x 2 bowl/pint = 18/2 bowls = 9 bowls. QED.
Solve the equation 6X+2=74
Answers
Hope it helps.
Solve the inequality for x.
X-3/4>=-1/8
Simplify your answer as much as possible
Answers
[tex]x - \frac{3}{4} \geqslant - \frac{1}{8} [/tex]
Solve the Inequality for x-term.[tex]x \geqslant - \frac{1}{8} + \frac{3}{4} [/tex]
Make both fractions to have same denominators by multiply 2 in 3/4 for both numerator and denominator.
[tex]x \geqslant - \frac{1}{8} + \frac{3 \times 2}{4 \times 2} \\ x \geqslant - \frac{ 1}{8} + \frac{6}{8} \\ x \geqslant \frac{5}{8} [/tex]
Hence, the solution is, "x is greater or equal to 5/8."
Answer[tex] \large \boxed{x \geqslant \frac{5}{8} }[/tex]
use the rule to write the first five terms of the pattern: Rule: add 8, subtract 4 First term: 13
Answers
Answer:
17
Step-by-step explanation:
13 + 8 - 4
Answer:
{13, 17, 21, 25, 29}
Step-by-step explanation:
Add 8 and subtract 4 is equivalent to Add 4.
If the first term is 13, the next is 17;
the second term is 21; and
the third term is 25.
PLEASE HELP !!! ILL GIVE BRAINLIEST!! *DONT SKIP* ILL GIVE 40 POINTS.
Answers
Answer:
y=36+12x
Step-by-step explanation:
Two rectangles are similar the sides of the larger rectangle have lengths of 24 and 30 inches the perimeter of the smaller rectangle is 27 inches find the length of the shorter side of the smaller rectangle
Answers
Answer:
small rectangle sides are 7.5 and 6
Step-by-step explanation:
Large rectangle perimeter=30+30+24+24=108
Small rectangle perimeter=27
27 is one fourth of 108 so:
small rectangle sides are 30/4 and 24/4
small rectangle sides are 7.5 and 6
Answer:
i have no clue
Step-by-step explanation:
it is really hard and i need help with it myself
CEOLATIONS AND INEQUALITIES
Finding angle measures of a triangle given angles with variables
In the triangle below, suppose that m U=(x+9)°, m = (2x+1), and mW=(7x)".
Find the degree measure of each angle in the triangle.
Answers
Answer:
seventeen degrees(17⁰)
what is the answer
y-11=25-3y
Answers
Answer:
9
Step-by-step explanation:
y-11=25-3y
y + 3y = 25 + 11
4y = 36
y = 36 / 4
y = 9
Hope it will help :)
3.
a) Find the HCF of 45 and 60
b) Find the LCM of 45 and 60
c) Multiply your answers to parts a and b together.
d) Multiply 45 and 60.
Answers
Answer:
a- 15
Step-by-step explanation:
Answer:
a.) 15
b.) 180
c.) 2700
d.) 2700
Jollibee employs a total of 10 cashiers and 15 kitchen crews. The manager selects a team of 2 cashiers and
4 kitchen crews for a graveyard shift. In how many ways can the manager select a team?
Answers
Answer:
The manager can select a team in 61425 ways.
Step-by-step explanation:
The order in which the cashiers and the kitchen crews are selected is not important. So we use the combinations formula to solve this question.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
In how many ways can the manager select a team?
2 cashiers from a set of 10.
4 kitchen crews from a set of 15. So
[tex]T = C_{10,2}*C_{15,4} = \frac{10!}{2!(10-2)!}*\frac{15!}{4!(15-4)!} = 45*1365 = 61425[/tex]
The manager can select a team in 61425 ways.
Casper write the algebraic expression 5b + 3.79. I represents the total cost, in dollars, of buying 5 bagels and a container of cream cheese. Identify any variables, coefficients, and termsin the expression. Tell me what each represents
Answers
Answer:
5 is a co efficient and b is a variable together is a term, 3.79 is a constant/term the whole equation is an expression.
The total cost of buying 5 bagels and a container of cream cheese is $28.79 and in the expression 5 is constant, b is variable, and 3.79 is constant representing the cost of the container.
What is an expression?An expression is a combination of some mathematical symbol such that an arithmetic operator and variable such that all are constrained and create an equation.
For example 3x +5y
Given the expression for the total cost,
C = 5b + 3.79 where b is the number of bagels.
Cost of 5 bangles →
C = 5(5) + 3.79 =$ 28.79
Cost of container = $3.79
Thus b is the only variable and 5b represents the cost of bagels while by the sum of container cost 3.79 total costs are created.
Hence "The total cost is $28.39 and container cost is $3.79 while b is variable".
To learn more about expression,
https://brainly.com/question/14083225
#SPJ2
Write an integer for deposit of $100
Answers
Write an integer for deposit of $100:
-$100
Solve.
The number line shows xx
3
ODIO
AN
1
a.
Each fourth on the number line is divided into
how many equal parts?
b. Each of these parts is what fraction of the whole?
C.
How many eighths of the whole are shaded?
d. -
X
Answers
Step-by-step explanation:
answer for d is 3 over 8....
that's all I know from the qn and can help u... sorry
Solve the right triangle round your answer to the nearest tenth
Answers
Answer/Step-by-step explanation:
✔️A = 180° - (50° + 90°) (sum of triangle)
A = 40°
✔️Find a:
Reference angle = 50°
Opposite = 17
Adjacent = a
Therefore, using trigonometric ratio, we have the following:
Tan 50 = 17/a
a = 17/tan 50
a = 14.3 (nearest tenth)
✔️Find c using Pythagorean Theorem:
c² = a² + b²
c² = 14.3² + 17²
c = √493.49
c = 22.2 (nearest tenth)
Help plz:)))I’ll mark u Brainliest
Answers
Answer:
18 foot ladder will reach at 14.4 feet up the wall.
Step-by-step explanation:
Triangles formed by the ladder against wall and the ground are similar,
ΔABC ~ ΔDEC
Therefore, their corresponding sides will be proportional.
[tex]\frac{AB}{DE}= \frac{BC}{EC}= \frac{AC}{DC}[/tex]
[tex]\frac{AB}{DE}= \frac{BC}{EC}[/tex]
[tex]\frac{18}{10}=\frac{BC}{8}[/tex]
BC = [tex]\frac{18\times 8}{10}[/tex]
= 14.4
Therefore, 18 foot ladder will reach at 14.4 feet up the wall.