The length of a rectangle is three centimeters less than the width. If one area of the rectangle is 53 cm^2, find the dimensions of the rectangle. (explain how you got step by step)
Answers
l= length
w= width
l= w-3cm
A= l*w
A= 53cm²
53= l*w
(plug in value of length)
53= (w-3)(w)
0=w²-3w+53
Use the quadratic formula:
(in the pictures attached)
w= about 9cm
l=9-3= 6cm
Any questions?
Related Questions
Which equation demonstrates the distributive property?
A) 14 + 77 = 91
B)14 x 77 = 77 x 14
C)14 + 77 = 7(2 + 11)
D)(2 + 11)7 = 7(2 + 11)
Answers
Sharon has 72 beads. she has twice as many sphere beads as cylinder beads. How many of each kind of bead does Sharon have? How did you solve the problem? How can you check your answer?
Answers
Place it into an equation:
x + 2x = 72
Simplify:
3x = 72
Divide both sides by 3:
3x / 3 = 72/3
Simplify:
x = 24.
24 x 2 = 48.
There are 24 Cylinder beads and 48 Sphere beads.
Hope This Helps You!
Good Luck :)
- Hannah ❤
Add. (5y - 1) + (-2y + 4) A) 3y - 5 B) 3y + 3 C) 7y + 3 D) 7y - 3
Answers
= 5y - 2y - 1 + 4
= 3y + 3 [OPTION B]
Part B : What would the math be to show how I did the math? HELP ME PLZ!!
Answers
h-hours
40-Initial value-Price paid at start
c-total cost
so if you plug the numbers in, 55h+40=190
Subtract 40 from both sides, 55h=150
Divide both sides by 55, h=150/55
150/55=2.72727272727
and that rounds to 2.73
-6(x-5)>42 and plz show how you got it
Answers
Simplify.
-6x + 30 > 42
We are simply just trying to get x by itself.
So, subtract 30 from both sides.
-6x > 42 - 30
Simplify.
-6x > 12
Then, divide both sides by -6.
Remember! : When dividing by a negative number, you must switch the signs. So, > → < and < → > :))
-6x ÷ -6 > 12 ÷ -6
Simplify.
x < -2
~Hope I helped!~
Is 593÷6 is a little less than 10 a little more than 10 a little less than 100 a little more than 100 explain
Answers
Hope this helps!
Five friends go out to dinner together. The meal comes to $80. Each friend contributes the same amount of money to pay the bill. Chase uses the five-step problem-solving plan. After completing the Solve step, how much money should he find each friend contributes? Enter you answer in the box.
Answers
Answer:
$16
Step-by-step explanation:
Becky has one piece of paper. She cuts the paper in half and then has two pieces. She cuts these in half to get four pieces. The process continues. Which describes how many pieces she has at each step? (a) p(1) = 1; p(n) = 2p(n-1), for n is greater than or equal to 2 (b) p(1) = 1; p(n) = 1/2p(n-1), for n is greater than or equal to 2 (c) p(1) = 1; p(n) = p (n-1) +1, for n is greater than or equal to 2
Answers
1 piece cuts into 2, 2 pieces cuts into 4, 4 pieces get cut into 8, so there is a multiple of 2 involved so the equation needs a multiple of 2 in it.
The correct answer is a) p(1) = 1; p(n) = 2p(n-1), for n is greater than or equal to 2
Luis has 3 pounds of ground turkey to make burgers. He uses 3/8 pound per burger to make 6 burgers. How many 1/4 pound burgers can Luis make with the remaining turkey?
Answers
n = (3/8 lb)(6 burgers) = 2.25 pounds
Subtract this from the total amount of ground turkey by subtracting the answer from 3.
W = 3 - 2.25 lbs
W = 0.75 lbs
Divide W by 1/4 to determine the final answer,
m = 0.75 lbs/ 1/4 = 3
ANSWER: 3
Final answer:
With the remaining 3/4 pound of turkey, after converting to ounces, Luis can make 3 additional 1/4 pound burgers.
Explanation:
Luis has 3 pounds of ground turkey and makes 6 burgers using 3/8 pound of turkey per burger. To find out how much turkey he used, we multiply the number of burgers by the weight of turkey per burger:
6 burgers × 3/8 pound/burger = 18/8 pounds = 2 1/4 pounds
Now, subtract the amount used from the initial amount to find the remaining turkey:
3 pounds - 2 1/4 pounds = 3/4 pound remaining
To convert pounds to ounces (as there are 16 ounces in a pound), multiply 3/4 pound by 16:
(3/4) × 16 = 12 ounces remaining
To determine how many 1/4 pound burgers Luis can make, we convert the quarter pounds to ounces, which is 4 ounces per burger, and then divide the remaining ounces by 4:
12 ounces / 4 ounces/burger = 3 burgers
Therefore, Luis can make 3 more 1/4 pound burgers with the remaining turkey.
The perimeter of an equillateral triangle is 63 inches. If the length of each side is (4x-3), find the value of x.
Answers
3(4x - 3) = 63
Divide both sides by 3:
4x - 3 = 21
Add 3 to both sides:
4x = 24
Divide both sides by 4:
x = 6
1 side= (4x-3)
3 sides= (4x-3)3
= (12x-9)
To find the value of x,
12x-9= 63
12x= 63+9
12x=72
x=6
On side note: Remember to change the sign when it crosses the equal sign. (for example: -2 will become 2 once it crosses the equal sign)
Hope this helps:))
~Top
the larger of two numbers is 12 more than the smaller number. if the sum of the two numbers is 74, find the two numbers
Answers
larger (y) is (=) 12 more than (+) smaller (x)
y = 12 + x
x + y = 74
plug one equation into the other:
x + y = 74
x + (12+x) = 74
2x + 12 = 74
2x = 74-12 = 62
2x/2 = 62/2
x = 31
y = 12 + x = 12 + 31 = 43
So smaller number = 31
and larger number = 43
What is the equation of the line graphed?
A)
y = 3x
B)
y = 3x - 2
C)
y = -3x - 2
D)
y = -3x + 2
Answers
let us pick (0,-2) and (1,1)
we can find the slope
[tex]m = slope = \frac{ - 2 - 1}{0 - 1} = \frac{ - 3}{ - 1} = 3[/tex]
using the point-slope equation
(y-y1)=m(x-x1) so choosing either of the points i will pick (1,1)
y-1=3(x-1)
y-1=3x-3
y=3x-2 which is b
Explain part a and b
Answers
TONS OF POINTS
TOOOONNNSS
PLEASE HELP!
EMERGENCY! Rewrite the expression 26 + 8 as the product of the GCF and a sum. Then, simplify the expression. Show all of your steps.
Answers
(26+8)/2
(13+4){GCF}
Answer:
Step-by-step26+8 = 34{SUM}
(26+8)/2
(13+4){GCF} explanation:
How to simplify the expression
10h+6-5h+3
Answers
If we want to simplify this expression:
10h+6-5h+3
We have to join each term with h and each term with no variable (no h) :
10h-5h+6+3
Sum each h-term and each variable:
5h+9 This the simplified result
What is 3 5/2 in simplified radical form?
sqrt(3)
\sqrt{3^5}
^3\sqrt{5}
Answers
[tex] 3^{\frac{5}{2} } = \sqrt[2]{3^5} = \sqrt{3^5} [/tex]
To simplify 3 5/2 in radical form, convert the mixed number to an improper fraction and express it as √(13/2).
To express 3 5/2 in simplified radical form, we need to convert the mixed number to an improper fraction. 3 5/2 is equivalent to 13/2. Therefore, the expression can be written as √(13/2).
what percent of 50 is 18?
Answers
Ans : 36%
If you don't understand feel free to message me
Answer=36%
Hope this helps text me if you don't understand
-4y+7+9y-3 identify the terms and like terms in expressions
Answers
5y + 4
1.56 divided by 19.2
Answers
How would you regroup 4 tens to find the difference between 341 and 228
Answers
the width of a rectangle is 4 inches less than the length ,the perimeter is 48,what is the dimensions?
Answers
Work:
length = x inches
width = x - 4 inches
perimeter = 2(l+w)
48 = 2[(x)+(x - 4)]
48 = 2(2x - 4)
24 = 2x - 4
28 = 2x
14 = x
length = x inches = 14 inches
width = x - 4 inches = 14 - 4 = 10 inches
If you need area, it's 140 inches.
2L + 2w = 48
L = w + 4
2(w+4) + 2w = 48
2w + 8 + 2w = 48
4w + 8 = 48
4w = 40
w = 10
L = w + 4
L = 10 + 4
L = 14
alexia charges 15 dollars an hour to repair air conditioners. organize the data for the coat of reparing air conditioners. write a graph an equation representing the function . graph the finction
Answers
x: number of hours of repair
f(x) = cost
x f(x) = 15x
hours $
0 0
1 15
2 30
3 45
4 60
5 75
a 15a
2) Equation: y = 15x
3) Graph: it is a continuous straight line that starts at (0,0) and passes through all the points ordanized in the table.
Someone please help me answer at least one of these problems it’s really hard and it’s due by tomorrow and I really don’t get it someone helppp
Answers
PLZ HELP DUE IN 5
MIN
Which statements are correct steps in finding the linear equation of a line that passes through the points (−1, 7) and (2, 4) using the point-slope form method? Select all that apply.
A: y = x + 6
B: 7 = –1(–1) + b
C: y – 4 = –1 (x – 2)
D: y – 7 = –1 (x – (–1))
E: y – 2 = x – 4
F: y = –x + 6
Answers
The linear equation of the line will be y = -x + 6.
What is an equation of the line?An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. A2 nd the third parameter is the slope of the line which represents the elevation of the line.
Given that a line passes through the points (−1, 7) and (2, 4). The equation of the line will be calculated by finding the slope of the line.
y = mx + c
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
m = ( 2 - ( -1 ) / ( 4 - 7)
m = ( 3 / -3 )
m = -1
y = mx + c
( 7 ) = ( -1 )( -1 ) + x
c = 6
The equation will be written as:-
y = mx + c
y = -x + 6
Therefore, the linear equation of the line will be y = -x + 6.
To know more about an equation of the line follow
brainly.com/question/18831322
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Working on homework. Need help with one part of the worksheet. This is the main problem.
An apple pie uses 4 cups of apples and 3 cups of flour. An apple cobbler uses 2 cups of apples and 3 cups of flour. You have 16 cups of apples an 15 cups of flour. When you sell these at the Farmers market you make $3.00 profit per apple pie and $2.00 profit per apple cobbler. Use linear programming to determine how many apple pies and how many apple cobblers you should make to maximize profit.
Attached first is what I have so far. Attached second is what I need help with. How to I write an obgective function that I can use to evaluate the profit?
Answers
let x = number of apple pies you would make
let y= the number of apple cobblers you make
4 cups of apples
for a pie 2 cups for cobbler with 16 cups
so we have: 4x+2y<=16
3 cups of flour for both pies and cobbler we get: 3x+3y<=15.
solve the system of inequalities to get (3,2)
check: 4(3) +2(2) = 12+4 = 14, this is less than 16 so this is true
3(3) + 3(2) = 9 +6 = 15 does equal 15 so this is true
Now profit equation is 3x +2y = profit
3(3) +2(2) = 9+4 = 13
You can make 3 apple pies and 2 apple cobblers for maximum profit
In this exercise we have to have knowledge about finances, in order to be able to calculate and write a function that corresponds to profits, so:
[tex]3x +2y = profit[/tex]
Then using the information given in the text we can write that:
let x = number of apple pies you would makelet y= the number of apple cobblers you make4 cups of apples for a pie 2 cups for cobbler with 16 cupsSo writing the function we have that corresponds to:
[tex] 4x+2y\leq 6[/tex]
So writing the second function that corresponds to 3 cups of flour, we have:
[tex]3x+3y\leq 15[/tex]
So solving these systems we find:
[tex] 4(3) +2(2) = 12+4 = 14\\ 3(3) + 3(2) = 9 +6 = 15\\ 3x +2y = profit[/tex]
See more about function at brainly.com/question/5245372
How many ants does it take to have the same mass as an elephant
Answers
(8 metric tons)(1000 kg1 metric ton)(1000 grams1 kg)=8,000,000 grams=8×106 grams
Notice that both metric tons and kg appear once on both the top and the bottom, enabling them to be canceled out, leaving only grams. Also note that we could have converted .003 grams into metric tons, and though this would have given an answer with a large number of decimal places, we would end up with the same final result.
Now that both quantities are in grams, we want to find how many ants, n, are required to have the same mass as the elephant. As each ant has a mass of 4×10−3 grams, we multiply 4×10−3 by n to get the total mass of the ants
total mass of n ants=4×10−3n
and then we set this equal to the mass of the elephant:
4×10−3n=8×106
We find that n=2×109 ants.
Thus, it takes approximately 2×109 ants to have the same mass as an elephant.
Each ant is 10−1 cm long, and we have 2×109 ants total. If we put all these ants in a line (front to back), we can find the length of the line by multiplying the length of one ant by how many ants we have:
2×109×10−1 cm=2×108 cm
As is, this answer is difficult to illustrate because it is such a large number. To find two objects that are this distance apart, we first want to convert centimeters into more useful units. We do this by using ratios from the above chart, converting centimeters to meters and meters to kilometers.
(2×108 cm)(1 m102 cm)(1 km103 m)=2×103 km=2000 km
This amount is much easier to visualize, and it turns out that 2000 km is approximately the driving distance from San Francisco, California to Denver, Colorado.
Final answer:
To equal the mass of an elephant weighing 8 metric tons, it takes approximately 2 billion ants, each weighing 4×10^-3 grams.
Explanation:
The question asks how many ants would equal the mass of an elephant when the mass of an ant is approximately 4×10^-3 grams and the mass of an elephant is about 8 metric tons. First, we need to convert the mass of the ant into the same units as the elephant's mass. Since there are 1,000 grams in a kilogram and 1,000 kilograms in a metric ton, we can calculate the mass of the ant in metric tons as 4×10^-3 grams × (1 kilogram / 1,000 grams) × (1 metric ton / 1,000 kilograms), which simplifies to 4×10^-9 metric tons. To find the number of ants needed to equal the mass of an elephant, we divide the elephant's mass by the mass of one ant: 8 metric tons / 4×10^-9 metric tons per ant = 2×10^9 ants. Therefore, it takes approximately 2 billion ants to have the same mass as an 8 metric ton elephant.
You use a gift card to buy a pair of shorts for $8. There is $32 left on the gift card after your purchase. What was the original amount of your gift card?
Answers
Find p+q, given that (q+4)(p+3)-(q+2)(p+1)=44.
Answers
We find that p+q = 17.
To find p+q, we need to solve the given equation step by step:
(q+4)(p+3) - (q+2)(p+1) = 44
Expanding both products, we get:
qp + 3q + 4p + 12 - qp - q - 2p - 2 = 44
We notice here that the 'qp' terms cancel each other out. Simplifying, we are left with:
2q + 2p + 10 = 44
Subtracting 10 from both sides gives:
2q + 2p = 34
Divide by 2:
q + p = 17
Therefore, p+q = 17.
Which equation shows y+15=3x in standard form?
Answers
-3x + 1y + 15 = 0
On average, a commercial airplane burns about 3.9 × 10³ milliliters of gasoline per second. There can be as many as 5.1 × 10³ airplanes in the air in the United States at any given time. About how many milliliters per minutes of gasoline are burned by commercial airplanes in the United States at any given time?
Answers
= 234x10^3 mls per minute
Required amount =
234x10^3 x 5.1x10^3
= 11934x10^6
= 1.1934x10^10 MLS Answer
60 x 3.9x10-3 = 234x10e3ml/minute/plane
You have 5.1x10e3 planes in the air
(234 x 5.1) (10e6) ---you add the two exponents together for this one
1193.4 x 10e6...which turns into 1.2 x 10e9