Answer:
2 inches
Step-by-step explanation:
Given that:
Dimensions of rectangular board = 12 inches by 16 inches
Area of uniform border around the rectangular board = 128 square inches
To find:
Width of the border = ?
Solution:
Let the width of the uniform border = [tex]x[/tex] inches
Now, there are two rectangular shapes after the addition of border.
One rectangle with the border, one without the board.
Area of border can be found by subtracting the area of board from the area of rectangle with the board.
Dimensions of the rectangle with the border = (12+2[tex]x[/tex]) inches by (16+2[tex]x[/tex]) inches
Area of rectangle = Length [tex]\times[/tex] Width
So, area of border = ((12+2[tex]x[/tex]) [tex]\times[/tex] (16+2[tex]x[/tex])) - 16 [tex]\times[/tex] 12 = 128 square inches
[tex]\Rightarrow 4x^2+56x+192-192=128\\\Rightarrow 4x^2+56x-128=0\\\Rightarrow x^2+14x-32=0\\\Rightarrow (x+16)(x-2)=0\\\Rightarrow x = 2, -16[/tex]
Width can not be negative, so possible value of width = 2 inches
What is the product of addition?
Answer:
Step-by-step explanation:
Example it’s called the sum
How do I do this? Anyone know please help
the two shapes are similar but scaled differently
this ratio is 2:3 (EF:AB)
so to find y we’ll set this up
2/3= y/4.5
and solve for y
4.5(2/3) = y
y = 9/3
y = 3
Need help anyone know how to do this
Answer:
ΔABC has: AD=DB
AE = EC
=> DE is the median line of ΔABC
=> DE // BC
=> m∠AED = m∠ECF = 32°
.
Step-by-step explanation:
Answer:
∠ ECF = 32°
Step-by-step explanation:
DE is the midsegment of Δ ABC and is therefore parallel to the third side BC.
Since DE and BC are parallel lines, then
∠ ECF and ∠ AED are congruent ( corresponding angles ) , thus
∠ ECF = ∠ AED = 32°
7.
Mr. Mones showed his class three figures as shown below
Which of the figures that Mr. Mones showed his class show a proportional relationship between x and y?
Figure I and II
Figure II only
Figure II and III
Figure III only
Answer:
i got c
Step-by-step explanation:
Which system has the same solution as the system of
equations shown?
3x + 2y = -5
2 + 3y = 5
O 6x+4y=-5
6x + y - 5
o
9x+6y=-15
4x + 6y - 10
O
6x+4y=-10
-6x + 9y - 15
6x+4y-- 10
6x + 9y - 5
Answer:
1
Step-by-step explanation:1
someone please help meeeee
Answer: decrease
Step-by-step explanation:
A class conducts a survey about types of movies. 53 girls and 48 boys reported comedy as their favorite. 23 girls and 62 boys reported horror as their favorite. Find the probability of a boy from this school selecting horror as his favorite type of movie.
63 apparently
jsjxxjjddddkxx
When a driver needs to stop a car, the approximate stopping distance d(in feet) is given by the formula: d=0.05v^(2)+2.2v, where v is the speed of the car (in miles per hour). Suppose a car travels 200 feet before stopping(d=200). How fast was the car traveling?
Step-by-step explanation:
The approximate stopping distance d(in feet) is given by the formula :
[tex]d=0.05v^2+2.2v[/tex] ...(1)
Where
v is the speed of the car in mph
We need to find the speed of the car when the distance is 200 feet
Put d = 200 in equation (1)
[tex]0.05v^2+2.2v=200\\\\0.05v^2+2.2v-200=0[/tex]
It is a quadratic equation. Divide the above equation by 0.05.
[tex]v^2+44v-4000=0[/tex]
The solution of the above equation is given by :
[tex]v=\dfrac{-44\pm \sqrt{44^2- 4(1)(-4000)} }{2(1)}\\\\v=\dfrac{-44+ \sqrt{44^2- 4(1)(-4000)} }{2(1)},\dfrac{-44- \sqrt{44^2- 4(1)(-4000)} }{2(1)}\\\\v=44.96\ ft/h, -88.96\ ft/h[/tex]
Since, 1 mph = 5280 ft/hour
44.96 ft/h = 0.00851 mph
-88.96 = -0.0168 mph
Hence, this is the required siolution.
PLEASE HELP!! <3 i litterly don’t understand this.. (math related) (view the picture)
Answer:
(0,-4), (1,-1), (2,2), (3,5)
Step-by-step explanation:
The first step of the problem is to fill out the chart by plugging in the x's into the equation above which is y=3x-4. The answers to the chart are (0,-4), (1,-1), (2,2), (3,5).
Once you finished the chart, you use the points above and plot them onto the graph, and connect them together. The graph should have a long line going up.
A middle school student (Swimmer 1) who is on the swim team can swim 18 laps in 15 minutes.
At what rate does the middle schooler (Swimmer 1) swim 18 laps in 15 minutes? *
10 points
0.83 laps/minute
270 laps/minute
None of the Above
1.2 laps/minute
Answer:
1.2 laps/minute
Step-by-step explanation:
find the measure of ADB
Answer:
it is 30
12344555667890
Help me and you get Brainliest! + 20 pts! Cindy did an experiment. She started out with 700 bacteria cells. She found that the growth rate of the bacteria cells was 4.3%. Create an equation for the situation that would work for any time, x. Type your equation into Desmos to make a graph that represents her experiment. Take a screenshot that includes both the equation and the graph in Desmos. Paste the screenshot to this page or attach it separately to the assignment submission drop box
Answer:
Step-by-step explanation:
Answer:
This is an exponential function of the form
We will use the following
y for the number of bacteria at a given time
x for the time
a for the starting number of bacteria, which is 700
b for the base of the exponent
so lets find b, we need the following:
r, which will be our rate, which is 4.3% or 0.043, so
With this info, let's substitute, and get the equation as the answer:
Put that into desmos, (I attached a screenshot for you)
Step-by-step explanation:
RYAN RYAN I NEED YOR HELP HELP HELP HELP HELPPPPPPPPPP OR ANYONE HONESLTY
Answer:
$70
Step-by-step explanation:
Convert the percent. 175% = 1.75.
Multiply 40 * 1.75.
70
HELP ASAP PLEASE WILL MARK BRAINIEST
Answer:
its the first one
Step-by-step explanation:
Which function is nonlinear?
Answer:
c
Step-by-step explanation:
any equation that has a variable with an exponent (in this case x^4) is not linear
2³- (3x5²)
PLEASE HELP 20 POINTS , also show ur work, thank u sm!
Answer:
-67
Step-by-step explanation:
2^3-(3*5^2)
simplify exponents
8-3*25
8-75
=-67
Answer:
56
Step-by-step explanation:
If you have 24 copies of 100 papers How many do you have in total?(This is a addition problem Idk what I am doing send help!)
if side c of a right triangle is called the hypothenuse, what are the other sides called
Answer:
The other sides are called legs.
Step-by-step explanation:
Right Triangles
They are a special type of triangles on which one of its internal angles is 90°. Since the sum of all internal angles is 180°, the sum of the other acute angles is 90°.
The longest side is called the hypotenuse and the other two sides are called legs.
The attached image shows a right triangle of hypotenuse c and legs a and b.
HELP ME PLEASE WILL GIVE BRANLYIST!!!!!
Answer:
2
Step-by-step explanation:
It's up 20, right 10. 20 divided by 10 is 2. Therefore, the slope is 2
How many solutions does the system of equations have
1. Exactly two
2. Exactly one
3. Infinity many
4. None
Answer:
A system of linear equations usually has a single solution, but sometimes it can have no solution (parallel lines) or infinite solutions (same line). This article reviews all three cases.
so the answer to this question is it has infinite solutions
Step-by-step explanation:
two parallel lines go forever
Is this answer to the question correct?
Answer:
y is correct but x is not
Step-by-step explanation:
because x+ 118°=180°[ co- interior angle ]
Determine which two values the following number is between.
A.
10.05 and 10.06
B.
10.06 and 10.07
C.
10.04 and 10.05
D.
10.07 and 10.08
Answer: A
Step-by-step explanation:
enter your answer as a decimal like this 4.23
the answer on there is wrong
Answer:
0.267
Step-by-step explanation:
The stadium has 53,000 seats seats sell for $42 in section 8 $36 in section B $30 in section C the number of seats in this in section 8 equals the total number of seats in section BNC supposed to stadium takes in 1,997,400 from each sold out I meant how many seats does each section hold
Answer:
Section A = 26,500 seats
Section B = 14,900 seats
Section C = 11,600 seats
Step-by-step explanation:
Total seats = 53,000
Total revenue = 1,997,400
Section A seat = $42
Section B seat = $36
Section C seat = $30
The number of seats in this in section A equals the total number of seats in section BNC
A = B + C
A + B + C = 53,000 (1)
42A + 36B + 30C = 1,997,400 (2)
Substitute A = B + C into (1)
A + B + C = 53,000
B + C + B + C = 53,000
2B + 2C = 53,000
2(B + C ) = 53,000
B + C = 53,000 / 2
= 26,500
B + C = 26,500 (3)
Substitute B + C = 26,500 into (2)
42A + 36B + 30C = 1,997,400
Recall,
A = B + C
42( 26,500) + 36B + 30C = 1,997,400
1,113,000 + 36B + 30C = 1,997,400
36B + 30C = 1,997,400 - 1,113,000
36B + 30C = 884,400. (4)
Multiply (3) by 30
B + C = 26,500 × 30
30B + 30C = 795,000 (5)
36B + 30C = 884,400 (4)
Subtract (5) from (4) to eliminate C
36B - 30B = 884,400 - 795,000
6B = 89,400
B = 89,400/6
= 14,900
B = 14,900
From (3)
B + C = 26,500
C = 26,500 - B
= 26,500 - 14,900
= 11,600
A = B + C
= 14,900 + 11,600
= 26,500
Section A = 26,500 seats
Section B = 14,900 seats
Section C = 11,600 seats
the graph of y= f(X) is shown below, what point could be used to find f(3)?
Answer:
Point A
Step-by-step explanation:
The long that would be used to find f(3) is the point that shows the value of y when x = 3.
Looking at the graph given, the only point that shows the value of y when x = 3 is point A.
When x = 3, y = 0.
Therefore, f(3) = 0.
Do I have a rare user? Just asking :)
Answer:
lol yes?
Step-by-step explanation:
Answer:
yes yes yes yes yes yes
Evaluate p(x)=−3+4x when x=−2,0, and 5.
Answer:
p(-2) = -11
p(0) = -3
p(5) = 17
Step-by-step explanation:
Think of p(x) as a y. Just substitute the x values into the equation, and with some basic algebra, you should get your answer
p(-2) = -3 + (-8) = -11
p(0) = -3 + 0 = -3
p(5) = -3 + 20 = 17
Simplify
19 6/7
1 2/9
Answer:
use Math away, it would help, I'm in a hurry so I cannot give u the answer at the moment.
Step-by-step explanation:
what’s the value of x
Answer:
25
Step-by-step explanation:
Answer:
5.65 in.
Step-by-step explanation:
What is the measurement?
Answer:180-124= answer
Step-by-step explanation:I don’t have a caclator srry