Answer:
Width: 450 feet
Length: 720 feet
Step-by-step explanation:
So we start with the equation to find the perimeter -
2l + 2w = p
l = length
w = width
p = perimeter
We insert the 2,340 ft as the perimeter -
2l + 2w = 2,340 ft
Now we find another equation for the "length is 270 ft greater than width" -
l = 270 ft + w
Using substitution, we substitute the y in the first equation with 270 ft + w -
2 (270 ft + w) + 2w = 2,340 ft
540 ft + 2w + 2w = 2,340 ft
540 ft + 4w = 2,340 ft
4w = 2,340 ft - 540 ft
4w = 1,800 ft
w = 1,800 ft / 4
w = 450 ft
Now to find the width we substitute the w with 450 ft -
l = 270 ft + w
l = 270 ft + 450 ft
l = 720 ft
Check -
2 * 720 ft + 2 * 450 ft = 2,340 ft
1,440 ft + 900 ft = 2,340 ft
2,340 ft = 2,340 ft (Correct)
$65 a month plus $45
Function:
65m + 45
(-----------------------------------------------------------------------)
This is here to remove the 20 word minimum limit.
Challenge. The price of Stock A at 9 A.M. was $13.66. Since then, the price has been increasing at the rate of $0.05 each hour. At noon the price of Stock B was $14.16. It begins to decrease at the rate of $0.15 each hour. If the two rates continue, in how many hours will the prices of the two stocks be the same?
Answer:
7/4
Step-by-step explanation:
We can write equations for increasing stock and decreasing stock and find our answer.
Let number of hours be "h" for both to be same
For first, we can write:
13.66 + 0.05h
But, second one starts from noon, so already 12pm - 9am = 3 hours gone, so stock A increased by 3 x 0.05 = 0.15, so we equation would be:
13.81 + 0.05h
Now, Stock B's equation [from noon]:
14.16 - 0.15h
Equate and solve:
so we will do 13.81 + 0.05h = 14.16 - 0.15h
number with number
variables with variables
0.2h = 0.35
divide 0.2 both sides
answer is
1.75 or if its in fraction form 7/4
Answer:
1.75 hours
Step-by-step explanation:
(13.66 +3*0.05) + (0.05 * h) = 14.16 - (0.15 * h)
13.81 + 0.05h = 14.16 - 0.15h
0.05h + 0.15h = 14.16 - 13.81
0.20h = 0.35
h = 0.35/ 0.20
h = 7/4
pls can any body give the answer quickly
Estimate and solve 3,514 ÷ 68:)
Answer:
Step-by-step explanation:
4 ⟶ 30 34 is rounded down to 30
86 ⟶ 90 86 rounded up to 90
34 ⟶ 30
86 ⟶ 90
34 is rounded down to 30
86 rounded up to 90
Calculate mentally 30 × 90 = 2700
The estimated product is 2700.
or Solve this system of equations by graphing. First graph the equations, and then type the solution. y= 7/4 x–3 y=x
Answer:
[tex]y = \frac{7}{4} x - 3 \\ y = x \\ y = \frac{7}{4} y - 3 \\ y - \frac{7}{4} y = - 3 \\ - \frac{3}{4} y = - 3 \\ 3y = 12 \\ y = \frac{12}{3} \\ y = 4 = x[/tex]
What are the solutions of 3x2 + 6x + 6 = 0?
A. −2 ± i
B. −2 ± 2i
C. −1 ± i
D. 1 ± i
Answer:
C
Step-by-step explanation:
3x² + 6x + 6 = 0 ( divide through by 3 )
x² + 2x + 2 = 0 ( subtract 2 from both sides )
x² + 2x = - 2
Using the method of completing the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(1)x + 1 = - 2 + 1
(x + 1)² = - 1 ( take square root of both sides )
x + 1 = ± [tex]\sqrt{-1}[/tex] = ± i ( subtract 1 from both sides )
x = - 1 ± i → C
PLZ HELP 500 POINTS. PLZ SHOW YOUR WORK + BRAINLIEST
Miguel's mother sells houses. She wants to buy a piece of land on which to build several houses. there are two lots for sale. one is a rectangular plot that is 3/8 of a mile by 2/3 of a mile. the other is a square plot that is 2/5 of a mile by 2/5 of a mile.
Part A
Which lot should Miguel's mother buy if she wants the biggest lot?
Part B
If the land in the area sells for 750,000 a square mile, how much should she expect to pay?
Answer:
A) She should buy the
Step-by-step explanation:
Part A:
For question A, we find the areas of both plots and see which one is greater.
For the first one, we do 3/8 * 2/3
[tex]\frac{3}{8} * \frac{2}{3} = \frac{6}{24} = \frac{1}{4}[/tex]
The area of the first plot is 1/4 square miles
For the second one, we do 2/5 * 2/5
[tex]\frac{2}{5} *\frac{2}{5} = \frac{4}{25}[/tex]
The area of the second plot is 4/25 square miles
We have 1/4 and 4/25.
To see which one is bigger, we make them have the same denominator, also known as the LCM (Least Common Multiple).
LCM(4,25) = 100
Now we make 1/4 have a denominator of 100
4 times what is 100?
25, so the numerator is 25 and the denominator is 100.
We get: 25/100
Now we make 4/25 have a denominator of 100
25 times what is 100?
4, so the numerator is 4 * 4 = 16 and the denominator is 100.
We get: 16/100
Now we can see which is bigger:
25/100 or 16/100
25/100 is bigger
Therefore, Miguel's mother should buy the plot with dimensions 3/8 and 2/3.
Part B
For part B, I'm not sure which plot of land she is going to pay for, so I will answer both.
We answered this in Part A already.
The 3/8 and 2/3 plot was 1/4 square miles and the 2/5 by 2/5 plot was 4/25 square miles.
Plot 1:
1/4 square miles
It said that it costs $750,000 for a square mile
This plot is 1/4 square miles, so we do
[tex]$750,000 * \frac{1}{4} = \frac{750,000}{4} = 187,500[/tex]
The cost for plot 1 is $187,500
Plot 2:
4/25 square miles
It said that it costs $750,000 for a square mile
This plot is 4/25 square miles, so we do
[tex]750,000*\frac{4}{25} = \frac{3,000,000}{25} = 120,000[/tex]
The cost for plot 1 is $120,000
So for the 3/8 by 2/3 plot, it cost $187,500 and for the 2/5 by 2/5 plot costs $120,000
ʜᴏᴘᴇ ᴛʜɪꜱ ʜᴇʟᴘᴇᴅ!
ʜᴀᴠᴇ ᴀ ɴɪᴄᴇ ᴅᴀʏ!
What is the slope for (-6,4) and (2,12)
Answer:
1
Step-by-step explanation:
(-6,4) and (2,12)
slope = m = (y2 - y1) / (x2 - x1)
= 12 - 4 / 2 - (-6)
= 8/8
= 1
a cartoon having 50 oranges weight 7.5 kg how much will thousand oranges weight
Answer:
150kg
Step-by-step explanation:
50 oranges ----- 7.5 kg
1000 ------- x
50 * x = 1000 * 7.5
x = 7500 / 50
= 750/5
=150
9. Jacob makes $10 for every lawn he mows, m. He owes his
brother $20.
Answer:
If jacob is broke then he needs to mow 2 lawns for $20 to pay his brother back.
Step-by-step explanation:
48=[tex]\frac{y}{2}[/tex]
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\boxed{\mathsf{48 = \dfrac{y}{2}}}\\\\\\\large\boxed{\mathsf{\dfrac{y}{2}= 48}}\\\\\\\large\boxed{\textsf{MULTIPLY 2 to BOTH SIDES}}\\\\\\\large\boxed{\mathsf{\dfrac{1}{2}\times2=48\times2}}\\\\\\\large\boxed{\textsf{CANCEL out: }\mathsf{\dfrac{1}{2}\times2}\textsf{ because it gives you 1}}\\\\\\\large\boxed{\textsf{KEEP: }\mathsf{48\times 2}\textsf{ because it helps solve for the y-value}}\\\\\\\large\boxed{\mathsf{NEW\ EQUATION: y = 48\times2}}\\\\\\\large\boxed{\textsf{SIMPLIFY IT!}}[/tex]
[tex]\\\\\\\large\boxed{\mathsf{y = 96}}\\\\\\\large\boxed{\boxed{\huge\textsf{Therefore, your answer is: y = 96}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]What is the slope of the line shown below?
(-2,5)
(3.-5)
Answer:
-5/10 or -1/2
Step-by-step explanation:
to find slope from two points, subtract the first y from the second (-2 - 3 = -5) and then subtract the first x from the second (5 - -5 = 10) and the answer is -5/10 which is equivalent to -1/2
the actual formula is [tex]\frac{y1-y2}{x1-x2}[/tex]
find the volume of the prism 8units, 2 units 5 units
Answer:
24 I didn't know which one you were doing so I just did a triangular...
Step-by-step explanation:
The price of an Item has been reduced by $5.09. The new sale price is $41.03. What was the original price?
Answer:
the original price was $46.12
Step-by-step explanation:
if you add 5 back to that number.
please help me mate, would ya? please
x=2 y=3 3x2 is 6, then 6-3 is 3.
x=3 y=6 3x3 is 9, then 9-3 is 6
x=4 y=9 3x4 is 12, then 12-3 is 9.
x=9 y=24 3x9 is 27, then 27-3 is 24.
Answer: (2,3) , (3,6) , (4,9) , (9,24)
Step-by-step explanation: In order to get the values of y you need to plug each value of x into the function y=3x-3. to find the value of your first y you would plug in 2 to y=3x-3 which would look like 3(2)-3 and you would solve from here to get y. using PEMDAS 3 times 2 is 6 and 6 minus 3 is 3 making your y value 3 and the point (2,3). If you plug in all the other x's (3,4,9) to the function you will get the values of y for that specific x too.
Hope this helped!
Emmitt runs 5 miles in 40 minutes. How long does it take to run per mile?
Answer:
08 : 00
min : sec
8 minutes each mile
Answer:
0.125 is your answer
Step-by-step explanation:
5/40 = 0.125
Write the phrase as an expression. Then evaluate when x=5 .
the sum of a number x and 4, all divided by 3
Expression:
When x=5, the value of the expression is :
Answer:
[tex]\frac{x+4}{3}[/tex] ; 3
Step-by-step explanation:
In this question, we're being asked to write an equation using the word format. Let's find key words in the statement.
The sum of a number x and 4, all divided by 3.
Looking at the wording, we can conclude that we are adding x and 4, and dividing that by 3. So here's how the phrase would look as an expression.
[tex]\frac{1}{3}[/tex] (x+4) or [tex]\frac{x+4}{3}[/tex]
Now, there's another part to this problem. We must evaluate the value of the expression if x is given to be 5. So let's plug it into our equations.
(5)+4
3
[tex]\frac{9}{3}[/tex]
9/3 gives you 3, so your answer would be 3.
Let me know if you see any errors or have any further questions, otherwise, I hope this helped! :)
find x help pls i need help asap pls!
Answer:
x = 18
Step-by-step explanation:
x + 36 and 3x are corresponding angles and are congruent , so
3x = x + 36 ( subtract x from both sides )
2x = 36 ( divide both sides by 2 )
x = 18
.guys help me.
[tex]( \: 2 \: {x}^{2} \: {y}^{3} )( \: 3 \: x \: y \: )[/tex]
2. Your recipe for making 12 chocolate chip cookies calls for 1.5 cups of chips. How many cups of chips
do you need to make 4 Dozen cookies?
Answer:
You need 6 cups of chips
Step-by-step explanation:
What is -3m + 5m = -14? With work provided
Answer:
-7
Step-by-step explanation:
-3m+5m=-14
2m=-14
divide both sides by 2
m=-7
Answer:-3+5m is -8m
Step-by-step explanation: Because the 3 is negative and it is plus
-2(x-2)=14, what is x?
Answer:
x = -5
Step-by-step explanation:
-2(x-2)=14
x - 2 = 14 ÷ (-2)
x - 2 = -7
x = -7 + 2
x = -5
Hope this helps!
Answer:
-2 (x - 2) = 14
Step-by-step explanation:
x = -5
I used a calculator, pls let me know if im incorrect
What is the square root of 8 and 24?
Answer:
√8 = 2.828427125
√24 = 4.89897948557
find the x- and y- intercepts for the equation -3x=5-y
Answer:
Step-by-step explanation:
At y -intercept , x = 0
0 = 5 -y
y = 5
Y-intercept (0,5)
At x- intercept y= 0
-3x = 5 -0
-3x = 5
x = 5/-3
x = -5/3
X-intercept: (-5/3,0)
what is the graph of x< -12y
Answer:
the graph of x = a is a straight line parallel to y-axis at a distance a from the y-axis, on the right if a > 0 and on the left if a < 0. (iv) Graph of y = a.
Step-by-step explanation:
HOPES THIS HELPS MY FRIEND!!!
4f = -24
Solve f
I need to show work
The table shows how an elevator 500 feet above the ground is descending at a steady rate.
A two column table with 5 rows. The first column, time in seconds (t), has the entries, 0, 5, 10, 15. The second column, Height in feet h(t), has the entries, 500, 475, 450, 425.
Which equation represents the height, h(t), of the elevator in feet, as a function of t, the number of seconds during which it has been descending?
h(t) = 5t + 500
h(t) = 5t – 500
h(t) = –5t + 500
h(t) = –5t – 500
Answer:
its d
Step-by-step explanation:
Which of the following is most likely the next step in the series?
Answer:
C, because each time, the number of purple dots, or vertices increases by one..
2, 3, 4, ?..
the next would be five, which is C.
Step-by-step explanation:
Answer:
here
Step-by-step explanation:
each shape has one more vertici (the purple dots) than the previous one, so then the pattern would be 2, 3, 4, .....? so the next one would be 5 which is C
Using the diagram and information below to find the measure of the missing angles. Don't forget to show your work and label your answer. Suppose mz1 = 105° 1/2 4 / 3 What are m22. m23 and mz4? mz2 = m23 = m24 =
please help (:
Answer:
m∠2 = ______75__
m∠3 = ____105____
m∠4 = _____75___
Step-by-step explanation:
i did the math
Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease.
y=700(0.726)^x
Answer:
Dada la siguiente función exponencial, identifique si el cambio representa crecimiento o disminución, y determine la tasa porcentual de aumento o ...
Step-by-step explanation:
