Complete Question:
Kyra is framing a square painting with side lengths of (x + 6) inches. The total area of the painting and the frame has a side length of (2x - 5) inches. The material for the frame will cost $0.07 per square inch.
Find the cost of the material for the frame is x = 16.
Answer:
The material cost of the frame is: $17.15
Step-by-step explanation:
Given
[tex]L_1 = (x + 6)\ in[/tex] --- Length of painting
[tex]L_2 = (2x - 6)[/tex] --- Frame and Painting
[tex]Cost = \$0.07[/tex] per square inch
Required
The cost of material of the frame
First, we calculate the area of the frame only
This is the difference between the areas of the frame and painting and the area of the painting
[tex]Area = (L_2)^2 - (L_1)^2[/tex]
[tex]Area = (2x - 5)^2 - (x + 6)^2[/tex]
Substitute 16 for x
[tex]Area = (2*16 - 5)^2 - (16 + 6)^2[/tex]
[tex]Area = (27)^2 - (22)^2[/tex]
[tex]Area = 245\ in^2[/tex]
The cost of the painting is:
[tex]Total\ Cost = Unit\ Cost * Area[/tex]
[tex]Total\ Cost = \$0.07 * 245[/tex]
[tex]Total\ Cost = \$17.15[/tex]
Hence, the material cost of the frame is: $17.15
What is the solution to the equation below? vx-5=x-11
A. X=9
B. X=15
C. X=14
D. X=6
Answer:0=−6
Step-by-step explanation:
7ft
5ft
8ft
7ft
Find the area of each figure
What is equivalent to the equation y=3x+z/4?
Tyshawn drew a two-dimensional shape. The shape had multiple sides. The
shape had only right angles. There are two pairs of parallel lines. One pair is 4 inches
Answer:
This is a rectangle
Step-by-step explanation:
2D shape with 4 right angles would be a rectangle because 2 sides are equal and the other 2 would be equal to give you 4 right angles
A circular park has a circumference of 94 ft. find d, the diameter of the garden in feet
Answer:
94 / π = 29.9211293...
Step-by-step explanation:
brainliest plz
What is the end behavior for the graph of the function
f(x)=9/10 log [-(x + 9)] + 10?
Answer:If you draw a graph or look it up on Desmos, it curves down around y = 10. It only hits the second and third quadrant. B is the only situation that describes this.
Step-by-step explanation:g
PLEASE HELP
ASAPPPPPP
Which of the following segments is a diameter of O?A. OD
B. DB
C. АС
D. AB
Answer:
AB is the diameter,,,,,,,,,
Pls help...................
PLEASE SOMEONE ANSWER A REAL ANSWER WILL GIVE BRAINLIST
Answer:
a I think please be right
Factorise the expressions and divide them as directed.
Answer:
Here you go. Check the answer in book too.
Answer:
10m ( p - q )
Step-by-step explanation:
[tex] \frac{15lm \times 2 {cp}^{2} {q}^{2} }{3l(p + q)}[/tex]
[tex] \frac{30lm \: (p - q)(p + q)}{3l(p + q)} [/tex]
[tex] \frac{10lm(p - q)}{l} [/tex]
[tex]10m(p - q)[/tex]
Hope it is helpful....
For what value of y does 125=(1/25)^(y-1)?
Answer:
y = -1/2 is the answer to 125=(1/25)^(y-1)
The sum of all even numbers from 0 to 420 is
Answer:
the sum of all even number from 0 to 420 is 175980
welp me someone this iready is for a grade.
Answer: 1920 cubic centimeter
Step-by-step explanation:
L*W*H for both and add
8*10*10=800
8*10*14=1120
800+1120=1920 cubic centimeters
evaluate 11P4 and 9C5
What is the value of n
. n=8cm.
Step-by-step explanation:
Answer:
where is the equation
Step-by-step explanation:
5(3m+2)
please help me
Answer:
(5x3m) + (5x2) = 15m + 10
Step-by-step explanation:
multiply 5 to 3m plus 5 to 2 which is equivalent to 15m + 10
Note: When solving for k, round to four decimal places. A culture started with 5,000 bacteria. After 3 hours, it grew to 6,500 bacteria. Predict how many bacteria will be present after 13 hours. Round your answer to the nearest whole number. P = Aekt Enter the correct answer. DONE + ?
Answer:
5000 * (e^((1 /4) * ln(55 / 50) * (13))) = 6,815.47 from My text book
Step-by-step explanation:
if you borrow $1,200 for 3 years at an annual interest rate of 4% how much will you pay altogether
Answer:
$1,344.00
Step-by-step explanation:
A=P(1+rt)
A=1,200(1+(0.04)(0.03))
Help now ____________[_
40°
50°
Х
x = __ degrees
Step-by-step explanation:
you just do 180 - 90 = 90 degree is x value
Answer:
x should equal 90.
Step-by-step explanation:
x is the sum of those two interior angles. 50 + 40 equals 90.
Find the greatest common factor of the following monomials 34c^5 and 26c^4 and 2c^6
Answer:
63c^5
Step-by-step explanation:
HELP OKEAEE HELPE PELASE
Answer:
The y-intercept is 4
Step-by-step explanation:
How many times can 45 go into 7,200?
Answer:
160
Step-by-step explanation:
divided 7200 by 45 to get 160
Howard buys 5 suits a year when he earns $70,000. When his income increases to $200,000, he buys 15 suits a year. Based on this
information, suits are considered to be
a complementary good.
an inferior good.
a neutral good.
a normal good.
a substitute good.
Answer:
a complementary good
Step-by-step explanation:
Howard spends $70,000 per year on 5 suits. When his income reaches $200,000, he purchases 15 suits per year. Suits are classified as a normal good based on this information.
What is meant by Normal Good?A normal good is one that sees an increase in demand due to an increase in consumer income. In other words, an increase in wages leads to an increase in demand for ordinary goods, whereas a decrease in wages or layoffs leads to a decrease in demand. In economics, an inferior good is one whose demand falls when consumer income rises (or rises when consumer income falls), as opposed to normal goods, which experience the opposite effect. Normal goods are those whose demand increases as consumer income rises. Normal goods are those for which the relationship between consumer income and quantity demanded is positive. In other words, the income effect is positive while the substitution effect is negative.To learn more about normal good, refer to:
https://brainly.com/question/12671549
#SPJ2
I give Brainlest !!!!!!!
Answer:
40,000
Step-by-step explanation:
On average, there are 12 potholes per mile on a particular stretch of the state highway. Suppose the potholes follow a Poisson distribution on the highway. a. Find the probability of finding fewer than two potholes in a quarter-mile stretch of the highway. (Do not round intermediate calculations. Round your final answer to 4 decimal places.) b. Find the probability of finding more than one pothole in a quarter-mile stretch of the highway. (Do not round intermediate calculations. Round your final answer to 4 decimal places.)
Answer:
a) 0.1992 = 19.92% probability of finding fewer than two potholes in a quarter-mile stretch of the highway.
b) 0.8008 = 80.08% probability of finding more than one pothole in a quarter-mile stretch of the highway.
Step-by-step explanation:
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
In which
x is the number of sucesses
e = 2.71828 is the Euler number
[tex]\mu[/tex] is the mean in the given interval.
a. Find the probability of finding fewer than two potholes in a quarter-mile stretch of the highway.
Mean of 12 potholes per mile, which means that in a quarter-mile stretch, the mean is [tex]\mu = \frac{12}{4} = 3[/tex]
This probability is:
[tex]P(X < 2) = P(X = 0) + P(X = 1)[/tex]
In which
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
[tex]P(X = 0) = \frac{e^{-3}*(3)^{0}}{(0)!} = 0.0498[/tex]
[tex]P(X = 1) = \frac{e^{-3}*(3)^{1}}{(1)!} = 0.1494[/tex]
[tex]P(X < 2) = P(X = 0) + P(X = 1) = 0.0498 + 0.1494 = 0.1992[/tex]
0.1992 = 19.92% probability of finding fewer than two potholes in a quarter-mile stretch of the highway.
b. Find the probability of finding more than one pothole in a quarter-mile stretch of the highway.
This is
[tex]P(X > 1) = 1 - P(X < 2)[/tex]
We have that [tex]P(X < 2) = 0.1992[/tex]
So
[tex]P(X > 1) = 1 - P(X < 2) = 1 - 0.1992 = 0.8008[/tex]
0.8008 = 80.08% probability of finding more than one pothole in a quarter-mile stretch of the highway.
n = 40, p=0.95, X = 38
P(38) =
Answer:
36.1
Step-by-step explanation:
when 3 times a number is added to it's square the total is 18
Answer:
x(the number)=3
Step-by-step explanation:
3×3+3squared = 18
Answer:
3x + x^2 = 18
x^2 + 3x - 18 = 0
(x + 6)(x - 3) = 0
x + 6 = 0
x = -6
x - 3 = 0
x = 3
a. How much warmer is 82 than 40?
b. How much warmer is 82 than -40?
a. What is the difference in height between 30 m up a cliff and 87 m up a cliff? What is the distance between these positions?
b. What is the difference in height between an albatross flying at 100 m above the surface of the ocean and a shark swimming 30 m below the surface? What is the distance between them if the shark is right below the albatross?
Answer:
a. 42
b. 122
a. 57
b. 130
Step-by-step explanation:
For problem A:
because both of these values have positive numbers, just use normal subtraction
82 - 40 = 42 degrees warmer
For problem B:
because we are subtracting a negative number from a positive number, we add both of these numbers because 82 - -40 can also be equal to 82 + 40
82 - -40 = 122
For problem A:
the sentences 30m up a cliff and 87m up a cliff are describing positive values.
87 - 30 = 57
For problem B:
Now in this problem, the sentence 100m above the surface is describing a positive value, but the sentence 30m below the surface describes a negative value
how do I know this?
if the sentences above the surface and below the surface are describing positive and negative values, then there has to be a neutral value ( which is 0)
0 meters = the surface, because they are using both positive and negative values, meaning that the surface is the neutral value
by using a number line, you can draw it out like this
below the surface-------------------------the surface----------------------------above the surface
-30--------------------------------------------0--------------------------------------------100
therefore, 100 - - 30 = 100 + 30 = 130
If x = 13, how could the angles be classified? Are the angles complementary or supplementary?
Answer:
To be complement sum of angle must be 90°
But to be supplement sum of angle must be 180°
Step-by-step explanation: