Answer:
.00136799
Step-by-step explanation:
4.9/3581.9 into a calculator
Answer:
.00136798905
Step-by-step explanation:
Used a calculator!
A company called Blurb prints books. According to its advertisement, you get a 15% discount on all orders of 51 or more copies of the same book (up to 100 copies). Is the cost per order a linear function of the number of copies you order (up to 100)?
Answer:
Yes, the cost per order is a linear function of the number of copies you order (up to 100).
Step-by-step explanation:
Let;
y = Total cost of order from one copy up to 100 copies or dependent variable
a = Cost of 50 copies or fixed intercept
x = Cost of 51 copies or more up to 100 copies or dependent variable, i.e. 51 = x [tex]\leq[/tex] 100
b = Coefficient of x = 1 - Discount rate = 1 - 15% = 1 - 0.15 = 0.85
We can therefore represent have a function as follows:
y = a + bx ........................ (1)
Substituting b = 0.85 into equation (1), we have:
y = a + 0.85x ...................... (2)
Equation (2) implies that as b equal to 51 or more up to 100, y also increases. Equation (2) is therefore an example of linear function which will give an upward sloping straight line and can be rewritten as:
y = f(x) = a + 0.85x ................. (3)
Therefore, the cost per order is a linear function of the number of copies you order (up to 100).
2. The width of a rectangle is 5 units less than the length. If the area is 150 square units, then find the dimensions of the rectangle.
Answer:
The length = x = 15 unitsThe width = x-5 = 10 unitsStep-by-step explanation:
Let 'x' be the length of a rectangle
As the width of a rectangle is 5 units less than the length.
so
width of rectangle will be = w = x - 5 units
Area = 150 square units
Using the formula
Area = length × width
[tex]150=\left(x\right)\left(x-5\right)[/tex]
[tex]150=x^2-5x[/tex]
[tex]x^2-5x=150[/tex]
Subtract 50 from both sides
[tex]x^2-5x-150=150-150[/tex]
[tex]x^2-5x-150=0[/tex]
[tex]\left(x+10\right)\left(x-15\right)=0[/tex]
if
[tex]ab=0\:\mathrm{then}\:a=0\:\mathrm{or}\:b=0\:\left(\mathrm{or\:both}\:a=0\:\mathrm{and}\:b=0\right)[/tex]
[tex]x+10=0\quad \mathrm{or}\quad \:x-15=0[/tex]
[tex]x=-10,\:x=15[/tex]
As length can not be negative. so
x = 15 units
Hence,
The length = x = 15 units
The width = x-5 = 15-5 = 10 units
giving brainliest !!!!
Answer:
please mark me as brainlist
Here is a rectangle ABCD. The length of the rectangle is increased by 10%. The width of the rectangle is increased by 5%. Find the percentage increased in the perimeter of tge rectangle.
Answer: Width would become 21 and length would become 33. Original perimeter is 100, increased perimeter is 108 which is a 7.69% increase
PLEASE HELP, MATH, PLEASE
Solve for n: n+5/16 = -1
[tex]\tt Step-by-step~explanation:[/tex]
To solve for n, we have to isolate n. To do so, we move all the terms that are not n to one side of the equation, and leave n on the other side.
[tex]\tt Steps:[/tex]
Equation: n + 5/16 = -1
Subtract 5/16 on both sides to bring it to the right side of the equation.
[tex]\tt n+5/16-5/16=-1-5/16\\\\n=-\frac{21}{16}~or~-1\frac{5}{16}[/tex]
[tex]\Large\boxed{\tt Our~final~answer:~n=-\frac{21}{16}~or~-1\frac{5}{16} }[/tex]
Choose the expanded form of this number.
504,969
Answer:
Step-by-step explanation:
500,000+0+900+60+9
What is the perimeter of an equilateral triangle which has an area of 96\sqrt{3}96
3 ?
Answer:
Perimeter = 44.67
Step-by-step explanation:
Find the PERCENT of change.
20 dogs to 5 dogs
Answer:
75%
Step-by-step explanation:
20-5=15 - change in numbers
15/20×100%= 75%
Four friends attend a school play and pay $6.75 per ticket. Each also buys a Healthy Snack Bag sold by the Theater Club. If the friends spent a total of $37.00, how much did each Healthy Snack Bag cost, b? Write and solve an equation. (sorry about the wrong grade btw)
Answer:
$2.5
Step-by-step explanation:
Multiply 4 friends by $6.75 and find the product.
Subtract $27 from $37
Divide 10 by 4
Answer: $2.5
Step-by-step explanation:
Multiply 4 friends by $6.75 and find the product.
Subtract $27 from $37
Divide 10 by 4
Helpppppppppppppp
asappppppppppp
Answer:
180-112=68
Step-by-step explanation:
3x+4y=2, find 27x•81v
Can someone help me please
Answer:
What do you need to know?
Step-by-step explanation:
An apple tree can grow about 400 apples. Jake says that 13 apple trees can grow about 6,000 apples. Do you agree? Explain.
Answer: No. Since 13×400=5,200, 13 apple trees can grow about 5,200 apples. Jake's estimate of 6,000 is much higher than 5,200.
Answer:
you answered it
Step-by-step explanation:
you put no blah blah blah
A -gallon [gal] quantity of molten (liquefied) plastic is going to be used to make a 1-foot [ft] by 8-inch [in] plastic block. If liters [L] of the plastic is lost in the manufacturing process, how thick is the final plastic block, in units of inches [in]?
Answer:
x = 1,77 in
Step-by-step explanation:
Total volume of molten plastic to make a block is
1 [gal] - 1 L (lost in the process) = 3,7854 - 1 = 2,7854
Now the volume of the block is:
1 foot * 8 inches * x ( thick of the block )
1 foot is 0,3048 meter and 1 inch is 0,0254 meter
Then in m³ the volume of the block is
0,3048 * 8 * 0,0254 * x = 0,06193536 * x [ m³ ]
That volume should be equal to 2,7854 / 1000
Therefore
0,06193536 * x = 2,7854 / 1000 x in m³
x = 2,7854 /61,93536 m
x = 0,044972 m and 1 m = 39,37 in
x = 1,77 in
A plane can fly 360 mph in still air. If it can fly 210 miles downwind in the same amount of time it can fly 150 miles upwind, find the velocity of the wind. mph
Answer:
55 mph
Step-by-step explanation:
Assuming that
v = velocity of the plane in still air,
w = velocity of the wind.
We are given that v = 360 mi/hr.
Using the equation
x = vt
where
x is the distance an object travels
v is the speed of the object
t is the time taken
While the plane is flying downwind, the velocity becomes v + w. On the other hand, if it is flying upwind, the velocity becomes v - w.
For a particular time t = T, distance traveled x = 210 mi at downwind, and x = 150 mi at upwind.
Creating an equation from the two, we have
210 mi = (360 + w)T
150 mi = (360 - w)T
Solving for T, we have
T = 210/(360 + w)
T = 150/(360 - w)
And since T is the same in both cases, we say that
So, 210/(360 + w) = 150/(360 - w)
Or on rearranging,
(360 + w)/210 = (360 - w)/150
(360)(150) + 150w = (210)(360) - 210w
55800 + 150w = 75600 - 210w
360w = 19800
Therefore, the speed of the wind is 55 mile per hour
Two numbers A and B are such that the sum of 5% of A and 4% of B is two-third of the sum of 6% of A and 8% of B. Find the ratio of A : B.
Answer:
a : b = 4 : 3
Step-by-step explanation:
(mark as brainlist answer)
According to the given condition is the question :
Two numbers a and b are such that the sum of 5% of a and 4% of b is two-third of the sum of 6% of a and 8% of b
⇒ (5% of a) + (4% of b) = (2/3) × [(6% of a) + (8% of b)
⇒ 0.05a + 0.04b = 2/3 × (0.06a + 0.08b)
⇒ 0.15a + 0.12b = 0.12a + 0.16b
⇒ 0.03a = 0.04b
⇒ a/b = 4/3
⇒ a : b = 4 : 3
if g(x) =x over 2 + 3 find g (4)
Answer: 2
Step-by-step explanation: 4/2=2
Emile is a long-distance runner. He runs at a constant speed of six miles/hour. His goal is to run nine miles on each practice run, but he normally runs a distance that varies three miles more or less than that. Select the correct answer from each drop-down menu. The equation that can be used to find the minimum and maximum time (in hours) Emile runs is_____. For each practice run, the minimum number of hours Emile runs is______ and the maximum number of hours he runs is ______.
Answer:
[tex]t=\dfrac{9\pm 3}{6}[/tex]
[tex]1\ \text{hour}[/tex]
[tex]2\ \text{hour}[/tex]
Step-by-step explanation:
s = Speed of Emile = 6 miles/hour
d = Distance traveled by Emile = [tex](9\pm 3)\ \text{miles}[/tex]
Time taken to find the minimum and maximum time Emile ran for is
[tex]t=\dfrac{d}{s}\\\Rightarrow t=\dfrac{9\pm 3}{6}[/tex]
The required equation is [tex]t=\dfrac{9\pm 3}{6}[/tex]
The time taken is
[tex]t=\dfrac{9-3}{6}\\\Rightarrow t=\dfrac{6}{6}\\\Rightarrow t=1\ \text{hour}[/tex]
The minimum number of hours Emile runs is 1 hour.
[tex]t=\dfrac{9+3}{6}\\\Rightarrow t=\dfrac{12}{6}\\\Rightarrow t=2\ \text{hour}[/tex]
The maximum number of hours Emile runs is [tex]2\ \text{hour}[/tex].
Answer:
|6x – 9| = 3
1 Hour
2 Hours
Step-by-step explanation:
The equation that can be used to find the minimum and maximum time (in hours) Emile runs is_|6x – 9|= 3_. For each practice run, the minimum number of hours Emile runs is__1 hour_ and the maximum number of hours he runs is _2 hour.
Solve for n. You must write your answer in fully simplified form.
- 4n = -5
1.25 or 5/4
Step-by-step explanation:
A particle moves along a straight line with the equation of motion s = t^{5} - 2 t^{4} Find the value of t (other than 0 ) at which the acceleration is equal to zero.
Answer:
t = 8/5
Step-by-step explanation:
I'm assuming the equation given is the velocity of the particle
Derive the equation
[tex]5t^4 - 8t^3[/tex]
Set it equal to 0 & solve for t
[tex]0 = 5t^4 - 8t^3\\8t^3 = 5t^4\\8 = 5t\\\frac{8}{5} = t[/tex]
The value of time at which acceleration is zero is required.
The required value of [tex]t=1.2\ \text{s}[/tex]
The function of motion is
[tex]s=(t)^5-2t^4[/tex]
Differentiating with time we get velocity
[tex]s'=5t^4-8t^3[/tex]
Again differentiating with time we get acceleration
[tex]s''=20t^3-24t^2[/tex]
Now acceleration [tex]s''=0[/tex]
[tex]0=20t^3-24t^2\\\Rightarrow 20t^3=24t^2\\\Rightarrow t=\dfrac{24}{20}\\\Rightarrow t=1.2\ \text{s}[/tex]
Learn more:
https://brainly.com/question/10717492
https://brainly.com/question/16053751
The weight of an adult beluga whales is known to have a normal distribution with a mean of 1800 pounds in a standard deviation of 300 pound. What is the probability of randomly catching adult beluga whale that weighs between 2000 pounds and 2500 pounds?
Answer:
.2427
Step-by-step explanation:
If you don't need to show your work:
TI84 calculator:[2nd][vars][normalcdf][lower:2000][upper:2500][μ:1800][σ:300}[enter][enter]
what is the minimum----------------------------------
Answer: A (-2,5)
Step-by-step explanation:
d+16 for d=-18
Your answer
can someone tell me the answer please ?
Answer:
130 degrees
Step-by-step explanation:
Answer:
130 degrees
Step-by-step explanation:
This is a supplementary angle (or whatever the term was for two or more angles that add together to get 180 degrees). There is a total of 7x and 5 degrees. So you would set up the equation 180= 7x+5. Use the properties of equality and subtract 5 from both sides getting 175= 7x. Use the division property of equality to isolate the variable. Divide by 7 to get 25=x. Now just substitute for x in 5x+5 getting 125+5= 130. Sorry if I did a bad job at explaining
6. Given WY with W(3, 7) and Y(13, -8), if X
partitions WY such that the ratio of WX to XY
is 3:2, find the coordinates of X.
Answer:
(5, 1)
Step-by-step explanation:
Given the coordinates W(3, 7) and Y(13, -8) divided into the ratio 3:2
The midpoint formula is expressed as;
M(X, Y) = (ax1+bx2/a+b, ay1+by2/a+b)
a = 3,
b = 2
x1 = 3
y1 = 7
x2 = 13
y2 = -2
To get the coordinate of X
x = ax1+bx2/a+b
x = 3(3)+2(123/3+2
x = 9+26/5
x = 35/5
x= 7
y= ay1+by2/a+b
y = 3(7)+2(-8)/2+3
y = 21-16/5
y = 5/5
y = 1
Hence the coordinate of X is (x, y) = (5, 1)
A square lawn has a area 98ft a spin keeper placed at the center of the lawn sprays water in a circular pattern that just covers the lawn what is the radius of the circle
Answer:
Step-by-step explanation:
Given the area of the square as A = 98ft²
The side length of the square will be equivalent to the diameter of the circle.
First we need to get the length of the square.
Area of a square = L^2
98 = L²
L = √98
L = 9.89 ft
Hence the diameter of the circle is 9.89 ft
radius = diameter/2
radius = 9.89/2
radius ≈ 4.95 feet
Hence the radius of the circle is approximately 4.95 feet
For every 10 students there needs to be 1 chaperone during the trip to the 5 museum. Which of the following ratios does not represent the student to chaperone ratio.
1:10
10 to 1
10:1
10/1
Other:
Which of the following is a RATE?
12 to 3
12 stickers to 3 students
Answer:
gfgfcvfvghcghccghcgcvchdcfgcfcfrtyc
Step-by-step explanation:
Alexa and her children went into a movie theater where they sell bags of popcorn for $8 each and pretzels for $5 each. Alexa has $45 to spend and must buy a minimum of 6 bags of popcorn and pretzels altogether. If x represents the number of bags of popcorn purchased and y represents the number of pretzels purchased, write and solve a system of inequalities graphically and determine one possible solution.
One possible solution from the graph is selling 3 bags of popcorn and 4 bags of pretzel
What is inequality?
Inequality is the non equal comparison of two or more variables and numbers.
Let x represents the number of bags of popcorn purchased and y represents the number of pretzels purchased.
Hence:
8x + 5y ≤ 45 (1)
Also:
x + y > 6 (2)
One possible solution from the graph is (3, 4)
Find out more on inequality at: https://brainly.com/question/24372553
Please help me ? Please
Answer:
Step-by-step explanation:
Which tables give sets of values that satisfy the linear function y = 2x – 6