Answers
========================================================
Explanation:
The old dimensions of the rectangle were 30 by 15.
The new dimensions are 30+x by 15+x, where x is some positive number.
The new rectangle dimensions multiply to 1000
(30+x)(15+x) = 1000
Use the FOIL rule to expand out the left side like so
(30+x)(15+x) = 1000
450+30x+15x+x^2 = 1000
450+45x+x^2 = 1000
x^2+45x+450
Then lets get everything to one side
x^2+45x+450 = 1000
x^2+45x+450-1000 = 0
x^2+45x-550 = 0
---------------------
From here we use the quadratic formula
Plug in a = 1, b = 45, and c = -550.
[tex]x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(45)\pm\sqrt{(45)^2-4(1)(-550)}}{2(1)}\\\\x = \frac{-45\pm\sqrt{4225}}{2}\\\\[/tex]
[tex]x = \frac{-45\pm65}{2}\\\\x = \frac{-45+65}{2} \ \text{ or } \ x = \frac{-45-65}{2}\\\\x = \frac{20}{2} \ \text{ or } \ x = \frac{-110}{2}\\\\x = 10 \ \text{ or } \ x = -55\\\\[/tex]
Earlier we defined x to be a positive number. This means we ignore x = -55. It makes no sense to add on a negative amount to each dimension.
The only practical answer is x = 10.
So each dimension is increased by 10 feet.
--------------------------
If x = 10, then the old dimensions of 30 by 15 bump up to 30+10 = 40 by 15+10 = 25
Then note how 40*25 = 1000, which helps confirm we have the correct dimensions.
--------------------------
Now go back to the question at hand: we want to find the new width. The old width was 30 feet. The new width is 30+x = 30+10 = 40 feet
Related Questions
Solve A= Iw for I.
I need help please
Answers
Answer:
After solving the given formula for l, we get
l = A/w
Step-by-step explanation:
Given formula is:
A = lw
The given formula is the formula for area of a rectangle.
Solving for a particular variable means that the variable has to be isolated on one side of the equation.
In order to solve,
Dividing both sides by w
[tex]\frac{A}{w} = \frac{lw}{w}\\l = \frac{A}{w}[/tex]
Hence,
After solving the given formula for l, we get
l = A/w
15 3/8+756-
What is the answer
Answers
Answer: 771 3/8
Step-by-step explanation:
15 3/8+756
we can apply the assosiative propery and do 15+756+3/8
so 15+756= 771
so finally you do 771+3/8=771 3/8
9x=-9
pls help asap
Answers
**due soon, pls help!**
Which expression is equivalent to (8x - 6) – (5x-4)?
A. 13x - 10
C. 3x - 10
B. 13x-2
D. 3x-2
Answers
Hey,
Answer : 3x-2
Here is the solution;
[tex](8x - 6) - (5x - 4) \\ = (8x - 6) + ( - 5x + 4) \\ = 3x - 2[/tex]
Good luck :)
Question: What is the number of the parking space covered by the car?
Answers
Answer:
93
Step-by-step explanation:
Help me classify the triangles by its sides and measuring its angles :)
Answers
Answer:
Triangle 1: Isosceles obtuse
Triangle 2: Right scalene
Step-by-step explanation:
Isosceles triangles have two congruent sides and two congruent angles. Triangle one fits this description because the double markers on sides AC and AB indicate that the two sides are congruent.
Obtuse triangles have an angle that is larger than 90 degrees. Triangle one fits this description as indicated by angle A. If it were a right angle, it would have a square symbol (as shown in triangle 2). The other two angles are obviously smaller, and they would be acute angles.
Right triangles have an angle that is exactly 90 degrees. Right triangles will have a square to indicate that it has this measurement.
Scalene triangles have three different measurements for its sides and its angles.
Find the number that belongs in the green box.
Round your answer to the nearest tenth.
Answers
I think answer is the 10.
Find the slope of the line.
Answers
Answer:
C
Step-by-step explanation:
Well You can tell right away its a positive line since its rising from left to right so the answer has to be positive
If the slope were to be 4 the line would be a Little more titleted becuasea slope of 4 is going up 4 and going tot he right 1.
ANd you can’t heck from any given point and just try all the positivw possibilties.
Or you can just use rise over run, start form a point, rise which means go up until you reach the second layer of the line and just run (go To The right) until you hit a point.
You’ll get 1/4
A man purchased 6 fruits at Rs 10 How many fruits will he sell at Rs 9 so that he may make an overall profit of 8%
Answers
Answer:
Step-by-step explanation:
P(x)=S(x)-C(x)
0.8=9-C(x)
C(x)=9 -0.08
C(x)=8.92
several perople form groups with four people in each group. write an expression for the number of groups formed by p people. how many groups are formedif there are 28 people
Answers
Answer:
a) an expression for the number of groups formed by p people
number of groups formed = [tex]\frac{p}{4}[/tex]
b) How many groups are formed if there are 28 people
number of groups formed = [tex]\frac{p}{4}[/tex]
=28÷4
= 7
Answer: 7 groups
HOPE THIS WILL HELP :)
Fidel has $217.18 and his checking account until the end of the month Fidel writes a check for $357.42 how much money does Fidel now have in his checking account.
Answers
Answer:
the amount that Fidel now have in his checking account is $140.24
Step-by-step explanation:
The computation of the amount that Fidel now have in his checking account is shown below:
= Ending balance - Opening balance
= $357.42 - $217.18
= $140.24
Hence, the amount that Fidel now have in his checking account is $140.24
We simply applied the above formula so that the correct value could come
And, the same is to be considered
write an equation of the line in slope-intercept form
(2,-2)
(4,-8)
(3,8)
(-2,8)
Answers
Answer:
(2,-2) (4,-8) - y=-3x+4
(3,8) (-2,8) - y=0x+8 undefined I think
Slope-intervept form: y = -3x + 4
May I have brainliest please? :)
I need to k ow the answer pls show work
Answers
Blake burns 4 1 2calories in 2 3of a minute riding his bike. What is Blake’s unit rate?
Answers
Answer:
(4 1/2) / (2/3) =
(9/2) / (2/3) =
9/2 * 3/2 =
27/4 =
6 3/4 (or 6.75) calories per minute
Step-by-step explanation:
if 1 case of 500 20oz. cups cost 48.38 how much does one cup cost (show all work)
Answers
Answer:
Step-by-step explanation:
if 500 cups costs 48.38
than one cup will cost
48.38/500=0.096 cents per cup
hey guys please help me solve this math question
Answers
Step-by-step explanation:
When x = -2, x + 2 = (-2) + 2 = 0.
Answer:
0........
Step-by-step explanation:
x= -2
-2+2= 0
I have $5 I want to get 2 things of beads to get one package it is $2.85 would I have enough to buy 2 packages of beads?
Answers
multiple choice
for geometry:(
Answers
Answer:
2160 degrees
Step-by-step explanation:
The asnwer would be 2160, as the 14 sided polygon would have 10 obtuse angles and 4 acute angles, meaning that it can only be 2160.
-9 less than or equal to -6 add 15 to both sides
Answers
Planes A and B are shown.
If a new line, p, is drawn parallel to line I, which
statement is true?
n
VI A
Line p must be drawn in plane B.
O Line p must be perpendicular to line m.
Line p must be drawn so that it can lie in the same
plane as linel.
O Line p must be drawn in the same plane as line n.
m
Answers
Answer: C: Line p must be drawn so that it can lie in the same plane as line l
Step-by-step explanation: edge 2020
Line p must be drawn so that it can lie in the same plane as line l.
Option C is correct.
What is Coordinate Geometry?One of the most intriguing ideas in mathematics is called coordinate geometry. By using graphs with curves and lines, coordinate geometry (also known as the analytic geometry) explains how geometry and algebra are related.
As per the given data:
A new line, p, is drawn parallel to line I.
We have to find that which of the statements from the given options in the question are true.
It was discovered that the specified set of lines consisted of plane A having line m and plane B having line n. Lines m and n are orthogonal to one another.
The new line l has been created parallel to line p in accordance with the planes. It has been possible for line p to cross the plane B. Line l has therefore also been intersecting plane B.
The line p has been drawn such that it is on the same plane as the line l since a line cannot cross its own plane. Option C is right as a result.
Hence, Line p must be drawn so that it can lie in the same plane as line l.
To learn more about Coordinate Geometry, click:
brainly.com/question/7869125
#SPJ7
Which equation best represents the data shown in the scatter plot below?
Answers
Answer:
y=3/2x+3
Step-by-step explanation:
Answer:
y=3/2x+3
Step-by-step explanation:
can I please have help
Answers
Answer:
15a+12ac+6ab
Step-by-step explanation:
3a(5 + 4c + 2b)
5*3a = 15a
4c*3a = 12ac
2b*3a = 6ab
Can anyone help that would be great ! :)
Answers
Answer:
40
Step-by-step explanation:
85% is .85
go through and multiply .85 by each number and see which one = 34
A truck traveling 45 miles per hour and a train traveling 60 miles per hour cover the same distance. The truck travels 2 hours longer than the train. How many hours does each travel? What equation would represent the total distance traveled by both the train and the truck? [Hint: Remember the distance traveled formula d = rt.]
Answers
Answer:
6-hours
D = C + T
Step-by-step explanation:
The following equations represent the total distance travelled by each vehicle, the truck (C) and the Train (T) where x is the amount of time travelling in hours...
C = 45x
T = 60x
Since the truck traveled 2 hours longer than the train we can add this value to the variable x in the truck's distance equation and then make both equations equal one another to calculate the number of hours before they cover the same distance...
45(x+2) = 60x ... distribute 45 evenly
45x + 90 = 60x ... subtract 45x from both sides
90 = 15x ... divide both sides by 15
6 = x
Finally, we can see that both vehicles would have traveled the same distance at the 6-hour mark. Now to calculate the total distance traveled (D) we can use the following equation...
D = C + T
If g(x) = 3(x − 2), find the value of x if g(x) = 6.
A. 12
B. 2.6
C. 8
D. 4
Answers
6 = 3x - 6
3x = 12, x = 4
Solution: D
Bruce used a $20 to pay for a movie ticket for $7.50, popcorn for $3.95,and a drink for $2.25 1.How much money did Bruce spend in all? 2. How much change did he get back?
Answers
Answer:
1. $13.7
2. $6.3
Step-by-step explanation:
Bruce used a $20 to pay for a movie ticket for $7.50, popcorn for $3.95,and a drink for $2.25
1. How much money did Bruce spend in all?
$7.50 + $3.95 + $2.25
=$13.7
2. How much change did he get back?
= $20 - $13.7
= $6.3
There are 159 students to be grouped in math teams. Each team is to have the same number of students. Can each team have 3, 4, 5 or 6 students?
Answers
Answer:
3 students for each team
Step-by-step explanation:
Answer:
Each team can have 3 students.
Step-by-step explanation:
159 students grouped in three's = 159/3=53
The same thing goes for if they were grouped in 4's, 5's, or 6's.
159/4=39.75 159/5=31.8 159/6=26.5
And since you cant divide single students into splits objects, 3 is
the only solution that works.
Hope this helps. :)
HELP!! ASAP!!
Brody drew a scale drawing of a campsite. He used the scale 1 inch : 3 feet. If the actual width of the tent is 6 feet, how wide is the tent in the drawing?
Answers
Answer:
the drawing would be 2 inches
Step-by-step explanation:
If ∠1 ≅ ∠2 ≅ ∠3, ∠4 ≅ ∠5, and m∠4 = m∠3 + 10°, What is m∠5?
Answers
Answer: 60° is the right answer
Step-by-step explanation:
What is the simplified form of i^15
Answers
Answer:
-i
Step-by-step explanation: