Answer:
length = 300 feet , width = 200 feet
Step-by-step explanation:
Let the length of the lot be x feet
Then the width shall be ( x - 100 ) feet
perimeter of rectangle formula: 2 ( length + width )1000 : 2 ( x + x - 100 )
1000 : 2 ( 2x - 100 )
1000 : 4x - 200
1000 + 200 : 4x
x : 1200 / 4
x : 300
Then the length is 300 feet
The width is ( x -100 ) = 300 - 100 = 200 feet
Answer:
W = 200 ft.L = 300 ft.Step-by-step explanation:
We know that:
W = L - 100 P = 1000 feetSolution:
P = 1000 feet=> L + W + L + W = 1000 ft.=> L + L - 100 + L + L - 100 = 1000 ft.=> 4L - 200 = 1000 ft.=> 4L = 1200 ft.=> L = 300 ft.=> W = L - 100 => W = 300 - 100=> W = 200 ft.Hence, the length and the width of the rectangular lot is 300 ft. and 200 ft. respectively.
arrange these numbers from least to greatest?
3.07 times 10 to the 2nd power, 3 5/11, 15, -3.9
Answer:
-3.9, 3 5/11, 15, 3.07x10²
Step-by-step explanation:
3.07 x 10² = 307
3 5/11 = 3.454545
15
-3.9
Least to Greatest:
-3.9, 3 5/11, 15, 3.07x10²
^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
Step-by-step explanation:
expression
y = x² + 5
• according to Option 1
x = 0,1,2
y = 5,10,15
now,
5 = 0² + 5 → 5 = 5 ✓
10 = 1² + 5 → 10 = 1 + 5 → 10 ≠ 6
15 = 2² + 5 → 15 = 4 + 5 → 15 ≠ 9
therefore, Option 1 is incorrect
• now, according to option 2
x = 0,1,2
y = 5,6,9
now,
5 = 0² + 5 → 5 = 0 + 5 → 5 = 5
6 = 1² + 5 → 6 = 1 + 5 → 6 = 6
9 = 2² + 5 → 9 = 4 + 5 → 9 = 9
therefore, Option 2 is correct
• according to option 3
x = 0,1,2
y = 1,2,4
now,
1 = 0² + 5 → 1 ≠ 5
2 = 1² + 5 → 2 = 1+6 → 2 ≠ 6
4 = 2² + 5 → 4 = 4 + 5 → 4 ≠ 9
therefore, option 2 is correct
Hope this answer helps you!
Simplify your expression. Show all of your work.
[tex]\frac{2}{3}[/tex] (x - [tex]\frac{5}{6}[/tex]) + 4x
Answer:
[tex]\frac{42x-5}{9}[/tex]
Step-by-step explanation:
[tex]\frac{2}{3} (x - \frac{5}{6} ) + 4x[/tex]
[tex]\frac{2x}{3} -(\frac{2}{3})(\frac{5}{6})+4x[/tex]
[tex]\frac{2x}{3}-\frac{10}{18} +4x[/tex]
[tex]\frac{12x-10+72x}{18}[/tex]
[tex]\frac{84x-10}{18}[/tex]
[tex]\frac{2(42x-5)}{18}[/tex]
[tex]\frac{42x-5}{9}[/tex]
Answer:
14x/3 - 5/9Step-by-step explanation:
This problem requires distributive property. Simplify it to obtain your answer.
2/3(x - 5/6) + 4x=> 2x/3 - 10/18 + 4x=> 2x/3 - 10/18 + 12x/3=> 14x/3 - 5/9Hence, the simplified expression is 14x/3 - 5/9.
QUESTIUT IU
Which of the following input/output pairs is valid for the graph below?
Input: 4, Output: 5
Input: 2. Output: 3
O Input: 3, Output: 0
Input: -3, Output: 0
Answer:
(4, 5)
Step-by-step explanation:
An ordered pair is graphed as (x, y) = (input, output).
The only point listed that is on the graphed line is ...
Input: 4, Output: 5
Answer:
Input: 4, Output: 5
Step-by-step explanation:
A small submarine travels at a speed of 2.4 kilometers per hour.
How far will the submarine travel in 0.25 hours?
Answer:
0.6 kilometers
Step-by-step explanation:
0.25 hours is 1/4th of an hour, and so you just divide 2.4 by 4.
change to a decimal. Round to hundredths if necessary. 2 5/8 round to the nearest hundredths'
the answer is:
25/8 = 3.13
What is the area of this quadrilateral?
4 cm
4 cm
1
3 cm
Answer:
14 square centimeters
Step-by-step explanation:
You gotta add the area of the first and second triangle.
First Triangle:
(1/2)x 4 x 4= 8cm
Second Triangle:
(1/2)x 4 x 3= 6cm
FINAL ANSWER: 6+8= 14cm
A tree cast a 25 foot shadow. At the same time, a 6 foot pole cast a shadow 4.5 feet long. How tall is the tree
Answer:
[tex]33\frac{1}{3}[/tex] ft
Step-by-step explanation:
Think about the ratio of shadow to actual height.
First, make a ratio table demonstrating the scale factor of the shadow to the height of the object:
height : shadow
6 ft : 4.5 ft
To get rid of the decimal, multiply by 10 on both sides:
60 ft : 45 ft
In order to get the shadow to 25 ft, multiply both sides by 25/45, which simplifies to 5/9:
height : shadow
6 ft : 4.5 ft
60 ft : 45 ft
*(5/9) : *(5/9)
33 1/3 ft : 25 ft
The answer is the height corresponding to the shadow length 25 ft in the table, in this case, [tex]33\frac{1}{3}[/tex].
I NEED HELP ASAP PLEASE HELP
Answer:
360 i believe is the answer
5. Joel sells cotton candy at the Magic games
for $4 per bag. He also sells peanuts at the
games for $2.50 per bag. One day he sold
160 bags and collected $460. How many of
each item did he sell?
The number of peanuts sold is 140 and the number o cotton candies sold is 40.
Two equations that can be used to solve the equation
$4c + $2.5p = $460 equation 1
c + p = 160 equation 2
Where:
c = cotton candy
p = peanuts
How many peanuts did he sell?
Multiply equation 2 by 4
4c + 4p = 640 equation 3
Subtract equation 1 from equation 3
$1.50p = 180
p = 120
How many cotton candies did he sell?120 + c = 160
c = 160 - 120
c= 40
To learn more about simultaneous equations, please check: https://brainly.com/question/25875552
Find the length of the side of a square whose area ir 441sq.m
Answer:
[tex]Solution,\\Area(A)=441m^{2} \\Now,\\Length=\sqrt{Area} \\Length=\sqrt{441m^{2} } \\Length=21m[/tex]
Step-by-step explanation:
Hope it will help you a lot.
explain the error to divide 14 2/3 ÷2 3/4, Erik multiplied 14 2/3 x 4/3 explain Erik's error
Answer:
The error is that he turned 2 3/4 to 4/3 instead of 11/4.
Step-by-step explanation:
a bank loaned out $18,000, part of it at the of 8% per year and the rest at 16% per year. if the interest received in one year totaled $2000, how much was loaned at 8%?
What shape has six sides
Answer:
hexagon
Step-by-step explanation:
suppose that the probability of parents having a child with blond hair is 1/4.if there are 6 children in the family, what is the probability that half o them will have blond hair?
Answer:
1.5 is the probablity
1/4×6
=1.5
hope it helps you
Please help! Write an expressive that is equivalent to 1/2a - 4.
solve this equation 18x²+39x+20=0
Step-by-step explanation:
Once in standard form, identify a, b and c from the original equation and plug them into the quadratic formula.
Subtract m from 8 then add 4
[tex]so \: first \: subtract \: m \: from \: 8 \: \\ (8 - m) \\ then \: add \: 4 \\ (8 - m) + 4 \\ if \: there \: is \: value \: of \ m \: then \: you \: can \: put \: it in \: the \: expression \: and \: solve \: it \: \\ or \: \\ can \: give \: me \: so \: i \: can \: solve \: it[/tex]
8 - m
(8-m)+4
hope it helps you
.
What is the account number on the check?
403
Samantha Lewis
456 First Street
Chicago, IL 60602
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Sam's Auto Repair
Two hundred four and 677100
Financial institution
ror Repair brakes
856425785 2146578212
IEEE
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REVERSE
Sancantha Lewis
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To
403
LEGE
204.67
856425785
403
2146578212
Calculator
Use calculator because yes
Answer:
2146578212
Step-by-step explanation:
"Account number" is second set of numbers at bottom of check.
First set of number is the "routing number"
Will you help me plz
9. Which sentence explains the relationship between two concepts?
Answer:
I hope it'll help you...
Pleas I really need help with this
Answer:
25%
Step-by-step explanation:
as a fraction it would be 15/60 = 1/4
1/4 × 100 = 25%
Pleaseee helpppp I’ll give brainliest
Answer:
(6.5, 4)
Step-by-step explanation:
The perpendicular bisector equation for the line AB is y=-2x+17. This line and y=4 intersect at (6.5, 4)
HELP ME PLEASE IM DESPRITE
What value of b will make the expressions −13.2x+b and −2.2(6x−2.4)+4.3 equivalent?
Answer:
b=9.58
Step-by-step explanation:
beep boop
a) Divide Rs 60 in the ratio of 1: 4
Answer:
ans: x=12 nd 4x= 48
Step-by-step explanation:
so since ratio is 1:4 we take 1x+4x=5x=60
x=60/5=12
1x=12
4x=12*4=48
hope this helped!
A new club sent out 180 coupons to boost sales for next year's memberships. They provided 4 times as many to potential members than to existing members. How many coupons did they send to existing members?
A: 40
B: 36
C: 4
D: 5
Answer:
5 coupons each
Step-by-step explanation:
180 ÷ 36 = 5
yep
To break the school’s record, the girls’ time had to be faster than
2
12
5
minutes. Did the girls break the record? If so, how much faster were
they? If not, how much slower were they?
Answer:The answer is no they are slower by 20%
Step-by-step explanation:divide 12 by 5 then divid the answer of 12 by 5 by 2 then you get the answer of 20%
calculate the Breakeven number of units if the fixed expenses are $7,000 and the contribution margin is $60 per unit
Answer:
The break even number of units is 116.6666666667
Breakeven point is where neither profit nor
loss is incurred by a firm. It is where you have to make just as much as what you are spending.
Break even point (BEP) is computed as ;
= Fixed cost / Contribution margin
=
$7,000 / $60
= 116.6666666667 units.
Therefore, the break even number of units if the fixed expenses are $7000 and the contribution margin is $14 per unit is 116.6666666667 units
K12 pls i need help like right now loook at pic
Answer:
0.3
Step-by-step explanation:
1) If you borrow $120,000. At an APR of 7% for 25 years, you will pay $848.13 per month. If you
borrow the same amount at the same APR for 30 years, you will pay $798,36 per month. What is the total interest paid on the 30-year mortgage?
Answer:
$167,409.60 interest paid
Step-by-step explanation:
If $838.13 is paid each month for 25 years,
total paid = 848.13 x 12 x 25 = $254,439
Therefore, 254,439 - 120,000 = $134,439 interest paid
If $798.36 is paid each month for 30 years,
total paid = 798.36 x 12 x 30 = $287,409.60
Therefore, 287409.6 - 120,000 = $167,409.60 interest paid
