Answer:
The camera's final price will be $588.24.
Step-by-step explanation:
First you want to turn the percent into a decimal. 9.75%=.0975
Then, you want to multiply 535.98 by .0975.
You get $52.26 when you round to the nearest cent. The you add 52.26 to the original price and you get your answer!
A manufacture of spark plugs how's it going producing less than 2% affective ones. Of the last 8000 spark plugs, 13 were defective. a. What is the experimental probability that the next sparkplug will be defective? b. Did the manufacture reach his goal? Explain.
Answer:
P = 0.001625
yes, it did
Step-by-step explanation:
given data
affective ones = 2%
spark plugs = 8000
defective = 13
to find out
experimental probability that the next sparkplug will be defective and Did the mannufacturer reach its goal
solution
we know that there are 13 are defective out of 8000
so P = 13 ÷ 8000
P = 0.001625
so that P( the next sparkplug will be defective) is = 0.001625
and
yes, we mannufacturer to reach goal
because 0.001625 < .02
So, the goal is reached as the experimental probability is less than 2%
If LN = 12x + 16, what is the length of Line segment L N in units?
Answer:
Step-by-step explanation:
16 units 40 units 48 units 64 units.
Answer:
64 units
Step-by-step explanation:
Given M lies on LN, so LN = LM + MN --------------(1)
LN = 12x + 16
LM = 10x + 8
MN = 5x - 4
Substituting the values in equation 1, we get:
12x + 16 = (10x + 8) + (5x - 4)
12x + 16 = 15x + 4
15x - 12x = 16 -4
3x=12
Therefore x=4
LN= 12(4) + 16 = 64 units
Simplify as fully as possible
4x²y^4 × (3xy²)² / 2x²y×4xy^9
Answer:
The answer is ;
9x/2y^2
Step-by-step explanation:
Here, we want to simplify as far as possible
Let us take all the numbers one after the other
All numbers on numerator and denominator;
(4 * 9)/(2 * 4) = 9/2
All x
(x^2 * x^2)/(x^2 * x) = x
All y
(y^4 * y^4)/(y * y^9) = y^8/y^10 = 1/y^2
So the complete answer is;
9/2 * x * 1/y^2
= 9x/2y^2
For what value of p would the statement 5p = 30 be true
Answer:
p = 6 is the answer
Step-by-step explanation:
In a bag, you have a strip of paper with the numbers 1-10 written on the strips. If one strip of paper is pulled from the bag and then replaced, what is the probability of the following events:
pick a odd number and then a even number.
A: 1/2
B: 1/4
C: 1/5
D: 1/25
Helpppp meeeeee pleaseeeee
Answer:
x+3=5 is the answer you're looking for.
Answer:
x+3=5
Step-by-step explanation:
solve for all solutions: sin5x=-1/2
Answer:
-1/10
Step-by-step explanation:
Let's solve your equation step-by-step.
5x=−1/2
Step 1: Simplify both sides of the equation.
5x= -1/2
Step 2: Divide both sides by 5.
5x/5 = -1/2/5
x=-1/10
What is the measure of EFG in O0 below?
GE=60
EFG=360-60=300
:)
I need help with homework
Answer:
C
Step-by-step explanation:
Point C is on the x-axis.
Answer:
c
Step-by-step explanation:
the x axis is labeled
x axis is always horizontal (think the horizon)
y axis is always vertical
Greatest common factor of 4 and 19?
Answer:
The greatest common factor of 4 and 19 is 1
Step-by-step explanation:
Answer:
Greatest common factor of 4 and 19 is 1
Select the correct answer. For what value of x is sin x = cos 19º, where 0°< x < 90°? OA. 38° ° O B. 71° OC. 26° O D. 19°
Answer:
x = 71°
Option B is correct answer.
Step-by-step explanation:
We need to find for what value of x is [tex]sin\: x = cos 19^{\circ}[/tex], where 0°< x < 90°?
Solving:
[tex]sin\: x = cos\: 19^{\circ}\\Finding \:cos\: 19^{\circ}=0.94551\\Putting\:value:\\sin\:x=0.94551\\Now\:taking\:sin\:inverse\\x=sin^{-1}(0.94551)\\x=71^{\circ}[/tex]
So, we get x = 71°
Option B is correct answer.
If the area of a circle is 25pi (n), what is the radius of the circle
Answer:
5
Step-by-step explanation:
the are is pi times radius times radius
so do the square root of 25, which is 5.
this means that the radius is 5
Answer:
five (5).
Step-by-step explanation:
Area of circle =pi r^2
given that area is 25pi
now equate both .....we get
25pi=pi r^2
25=r^2
r=5
Animal Kingdom - You won the lottery and decided to buy all of the cats and dogs at a shelter and let them all roam free on a farm. You forgot to ask exactly how many dogs and how many cats they were giving you, but you know that there are 152 animals altogether and there are 3 times as many dogs as there are cats. Write an equation to find out the number of dogs and cats and then solve it.
Answer:
3x=152
Step-by-step explanation:
You know that there are 152 animals intotal so that goes at the end. if we say that the dogs are x because we dont know how many there are, then there are 3 times more cats then there are x.
Hi I need help please 10 points for answering questions 3 and 4 correctly please it’s due tomorrow
Answer:
3. 150% 4. 8.3%
Step-by-step explanation:
Percent error formula is the difference between the actual and estimated divided by actual times 100.
3. (5-2) / 2 x 100= 150%
4. (24-22)/ 24 x 100 = 8.3%
The multiplication property of equality could be used to solve which of the following equations?
OX+2)x-3) = 0
m+7=-12
OD-2) = 18
03+y=7
Answer:
I pretty sure its C. OD-2) = 18
Step-by-step explanation:
A coordinate plane with Number of Text Messages on the x-axis and Number of Minutes Used on the y-axis, with points plotted at, (10, 20), (20, 40), (30, 60), and (40, 80).
A prepaid cell phone charges a preset number of minutes to use text messaging. The graph represents y, the number of minutes used for x, the number of text messages sent and received. Is there a direct variation? Which equation represents the relationship?
Yes, y = 2x.
Yes, y = 20x.
No, y = x + 10.
No, y = x + 20.
Answer:
y=2x or "A" is correct
Step-by-step explanation:
solve (−8x−12)+(9x+4)=
1) Work out the size of angle x.
2) Give reasons for your answer.
(15 points if correct)
Answer:
x= 75°
because 180°-105°=75°
Can I get some help thank u sm
Answer:
11Step-by-step explanation:
The sum of interior angles is equal to exterior angle
Given the following
Interior angles = 5x + 10 and 58
Exterior angle 11x+2
According to the postulate:
5x + 10 + 58 = 11x + 2
5x + 68 = 11x + 2
Collect like terms
5x -11x = 2 - 68
-6x = -66
x = -66/-6
x = 11
The value of x is 11
which equation represents this graph?
Answer:
It would be the 1st answer, y= 3/2x + 2.
Step-by-step explanation:
The intersection on the Y axis determins the "+2". To find the slope, it is always x/y. It rises 3, and runs 2. Hope this helps
A cylinder has a volume of 198 cm3, and its base has an area of 22 cm2. What is the height of the cylinder? V= πr²h
Answer:
The height of cylinder is 9 cm
Step-by-step explanation:
Volume of cylinder = 198 cm³
Base Area = 22 cm²
We need to find height of the cylinder
The formula used is: [tex]Volume\:of\:cylinder=\pi r^2h[/tex]
Where [tex]Base\: Area = \pi r^2[/tex]
First we need to find radius r
[tex]Base\: Area = \pi r^2\\22=3.14\: r^2\\r^2=\frac{22}{3.14}\\r^2=7\\Taking\: square\: root\: on\: both\: sides\\\sqrt{r^2}=\sqrt{7}\\r=2.656[/tex]
So, we get radius r = 2.656
Putting values of volume and radius are to find height
[tex]Volume\:of\:cylinder=\pi r^2h\\198=3.14(2.656)^2h\\h=\frac{198}{22}\\h=9[/tex]
So, the height of cylinder is 9 cm
Will is w years old.
Ben is 3 years older.
1. Write an expression, in terms of w, for Ben's age.
Jan is twice as old as Ben.
2. Write an expression, in terms of w, for Jan's age.
If you add together the ages of Will, Ben and Jan the total comes to 41 years.
3. Form an equation and solve it to work out how old Will, Ben, and Jan are.
Answer:
Will is 8 years old, Ben is 11 years old, and Jan is 22 years old
Step-by-step explanation:
Since Ben is 3 years older, his age can be represented by w + 3
Jan is twice as old as Ben, so her age can be represented by 2(w + 3)
Set up an equation that adds up these expressions and sets it equal to 41:
(w) + (w + 3) + 2(w + 3) = 41
Simplify, add like terms, and solve for w:
(w) + (w + 3) + 2(w + 3) = 41
(w) + (w + 3) + (2w + 6) = 41
4w + 9 = 41
4w = 32
w = 8
So, Will is 8 years old.
Find Ben's age by adding 3 to this:
8 + 3
= 11
Find Jan's age by multiplying this by 2:
11(2)
= 22
So, Will is 8 years old, Ben is 11 years old, and Jan is 22 years old
Yellow Cab Taxi charges a $1.75 flat rate in addition to $0.75 per mile. Katie has no more than $10 to spend on a ride. How many miles can Katie travel without exceeding her limit?
Answer:
11 miles
Step-by-step explanation:
10-1.75=8.25
8.25÷.75=11
Ryan works at a cell phone store Monday to Friday. He earns $80
per day plus $8
per phone sold. On Tuesday, Ryan makes at least $176.
Hurry up pls
Answer:
If you are asking how many phones he sold Tuesday he sold 12
Step-by-step explanation:
you subtract 80 from 176 then you get 96 and divide that by 8 to get 12 phones
Brian goes to schol 6 hours per day, works 4 hours perday, and sleeps for 9 hours per day. What is the ratio of hours Brian works to hours Brian sleeps?
The ratio of hours Brian works to hours Brian sleeps is 4/9.
What is ratio?A ratio is a comparison between two amounts that is calculated by dividing one amount by the other. The quotient a/b is referred to as the ratio between a and b if a and b are two values of the same kind and with the same units, such that b is not equal to 0. Ratios are represented by the colon symbol (:). As a result, the ratio a/b has no units and is represented by the notation a: b.
Given:
Brian goes to school 6 hours per day, works 4 hours per day, and sleeps for 9 hours per day.
So, the ratio of hours Brian works to hours Brian sleeps
= 4/ 9
Hence, the ratio is 4/9.
Learn more about ratio here:
https://brainly.com/question/13419413
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A line has this equation: y = x + 4 Write an equation for the perpendicular line that goes through (2, 5).
Answer:
y = -x + 7
Step-by-step explanation:
y = x + 4 slope: 1
slope of perpendicular line: -1
for (2,5) y interception (b) = y - mx = 5 - (-1)*2 = 7
equation: y = -x + 7
check: -x+7 = -2+7 =5
Solve for z.
Z/4 - 11= -9
Z=
Answer:
8
Step-by-step explanation:
z/4 - 11 = -9
z/4 = 2
z = 8
For the school play, the advance tickets cost 3, while tickets at the door cost 5. Thirty more tickets were sold at door than in advance, and was collected. How many of each kind of ticket were sold? Write your answer in a sentence.
Answer:
Number of tickets sold in advance = 310
Number of tickets sold at the door = 340
Step-by-step explanation:
Note: This question is not complete. The complete question is therefore provided before answering the question as follows:
For the school play, the advance tickets cost $3, while tickets at the door cost $5. Thirty more tickets were sold at the door than in advance, and $2630 was collected. How many of each kind of ticket were sold?
The explation of the answer is now given as follows:
Let a represents number of tickets sold in advance. Therefore, we have:
a = number of tickets sold in advance at $3 each
a + 30 = number of tickets sold at the door at $5 each
The total amount collected can be represented by this equation:
3a + 5(a + 30) = 2630
Solving for a, wee have:
3a + 5a + 150 = 2630
8a = 2630 - 150
8a = 2,480
a = 2,480 / 8
a = 310
Therefore, this implies:
Number of tickets sold in advance = 310
Number of tickets sold at the door = a + 30 = 310 + 30 = 340
What is the slope and what does the slope represent in this situation
Answer:
Step-by-step explanation:
slope is -60
it's the rate of change... in the distance to the destination
the equation of the line which has a gradient of 3 and passes through the point (-1,3)
Answer:
Call the line (d): y = ax + b
(d) intersects the vertical axis at the point where the intersection is 3 ⇒x = 0, y = 3 Instead of (d) we have: b = 3
(d) intersects the horizontal axis at the point where the coordinate is -1 ⇒x = −1, y = 0 Instead of (d) we have: −a + b = 0
Replace into b = 3 into -a + b = 0 we have: −a + 3 = 0⇔a = 3
So the equation for the line is y = 3x + 3
Step-by-step explanation: