K/2 =9
what is the step by step?
Answer: k=18
Step-by-step explanation:
1) Multiply all terms by the same value to eliminate fraction denominators: 2•k/2=2•9
2) Cancel multiplies terms that are in the denominator: k=2•9
3) Multiply the numbers: k=18
4) Get the solution
Sadie earns $11.25 per hour. Do her earnings vary inversely or directly with
her number of hours worked? Determine how many hours she worked in a
week if her earnings were $146.25.
Division is one of the four fundamental arithmetic operations. The number of hours Sadie worked to earn $146.25 is 13 hours.
What is Division?The division is one of the four fundamental arithmetic operations, which tells us how the numbers are combined to form a new one.
Given Sadie earns $11.25 per hour. Therefore, it can be concluded that her earnings vary varies directly with the number of hours she worked.
The number of hours she worked to earn $146.25 is,
The Number of hours = ($146.25)/($11.25) = 13 hours
Hence, the number of hours Sadie worked to earn $146.25 is 13 hours.
Learn more about Division:
https://brainly.com/question/369266
#SPJ1
You are planting a vegetable garden on a plot of land that is a sector of a circle, as shown below.
You want fencing along only the curved edge of the garden.
a. Use the figure to find the length of fencing you will need.
15 ft
75°
b. How much area will be available for planting?
Answer:
(a) 19.63 ft
(b) 147.26 ft^2
Step-by-step explanation:
(a) 75/360 degrees . 2 . pi . 15 = 19.63
(b) 75/360 degrees. pi . 15^2 = 147.26
Answer:
a) 19.63 ft (2 dp)
b) 147.26 ft² (2 dp)
Step-by-step explanation:
To find the length of the curved fence, use the formula for arc length of a circle.
To find the area of the vegetable garden, use the formula for area of a sector of a circle.
Formula
[tex]\textsf{Arc length}=2 \pi r\left(\dfrac{\theta}{360^{\circ}}\right)[/tex]
[tex]\textsf{Area of a sector}=\left(\dfrac{\theta}{360^{\circ}}\right) \pi r^2[/tex]
[tex]\quad \textsf{(where r is the radius and}\:\theta\:{\textsf{is the angle in degrees)}[/tex]
Calculation
Given:
[tex]\theta[/tex] = 75°r = 15 ft[tex]\begin{aligned}\implies \textsf{Arc length} &=2 \pi (15)\left(\dfrac{75^{\circ}}{360^{\circ}}\right)\\ & = 30 \pi \left(\dfrac{5}{24}\right)\\ & = \dfrac{25}{4} \pi \\ & = 19.63\: \sf ft\:(2\:dp)\end{aligned}[/tex]
[tex]\begin{aligned} \implies \textsf{Area of a sector}& =\left(\dfrac{75^{\circ}}{360^{\circ}}\right) \pi (15)^2\\& = \left(\dfrac{5}{24}\right)\pi \cdot 225\\& = \dfrac{375}{8} \pi\\& = 147.26\: \sf ft^2 \:(2\:dp)\end{aligned}[/tex]
Select the correct answer.
Which graph shows a function and its inverse?
Answer:
See below
Step-by-step explanation:
If a function is bijective and 1-to-1, then it will have an inverse function. Consequentially, they will be symmetrical about the line [tex]y=x[/tex], which is a diagonal line passing through the origin at a 45 degree angle.
None of the graphs look correct though, but it also seems that some options are cut out, so make sure to choose the correct graph given the characteristics I've previously described.
Answer:b
Step-by-step explanation:
If johnny had 609898 cupcakes and gave 2323 away how much would he have left
Answer:
607,575 cupcakes
Step-by-step explanation:
Highschool math? haha
609898 - 2323 =
607,575
16
20
Х
Solve for x.
Answer:
im assuming 24?
Step-by-step explanation:
bc 16 plus four is 20 so i did the same for 20 i like 96 % that this could be wrong
In 2012, the population of all of the people on Earth was approximately seven billion. Write the population in scientific notation.
Answer:
7 × 10^9 (that 9 is a exponent)
Step-by-step explanation:
What is Surface area for 5ft, 16ft, and 8ft
The surface area of the given rectangular prism is:
S = 496 square feet.
How to find the surface area?
For a rectangular prism of length L, width W, and height H is:
S = 2*(L*W + W*H + L*H).
In this particular case, we have:
L = 5ftW = 16ftH = 8ft.If we replace that in the surface area equation, we will get:
[tex]S = 2*(5ft*16ft + 5ft*8ft + 16ft*8ft) = 496 ft^2[/tex]
The surface area of the rectangular prism is 496 square feet.
If you want to learn more about surface areas:
https://brainly.com/question/76387
#SPJ1
A box of cereal has a volume of 144 inches squared. the height of the cereal box is 12 inches, and the depth is 2 inches. what is the width of the cereal box?
The value of the given cone with a volume of 144 has a width is 6 inches.
We have given that,
A box of cereal has a volume of 144 inches squared.
The height of the cereal box is 12 inches, and the depth is 2 inches.
The volume of cone = 144 inches squared.
height=12 inches
depth=2inches
What is the formula of the cube?Area of a cube = V = L * W * H
L-length
W-width
H-height
We have to determine the width cereal box.
Plug the given values in the formula
V = L * W * H
144=2×12×width
Width=144/24
Width=6inches
Therefore the value of the width is 6 inches.
To learn more about the volume visit:
https://brainly.com/question/1972490
#SPJ1
Solve for x and find the length of GH (show work)
Answer:
A. How are GH and GI related?
They are tangents.B. Write an equation to solve for x.
GH = GIC. Let's solve the equation...
GH : 2x
GI : x + 12
2x = x + 122x - x = 12x = 12D. Now, that we solve for x, let's find the length of GH....
GH = 2x where, x = 12
2(12)24Therefore, the length of GH is 24.
......,.............
[tex]5 \times (3 \times (9 - (4 + 1))) + 20 \div 4 \times 2 [/tex]
Following BODMAS:
Brackets → Order → Division → Multiplication → Addition → Subtraction
Given Expression:
⇒ 5 × (3 × (9 - (4 + 1))) + 20 ÷ 4 × 2
[first simplify following inside the brackets]
⇒ 5 × 12 + 20 ÷ 4 × 2
[then divide following]
⇒ 5 × 12 + 5 × 2
[multiply integers]
⇒ 60 + 10
[add integers]
⇒ 70
Answer:
70
Step-by-step explanation:
Solving by BODMAS :
BracketsOrdersDivisionMultiplicationAddition SubtractionGiven :
⇒ 5 × (3 × (9 - (4 + 1))) + 20 ÷ 4 × 2
Simplifying the brackets :
⇒ 5 × (3 × (9 - (4 + 1))) + 20 ÷ 4 × 2
⇒ 5 × (3 × (9 - 5)) + 20 ÷ 4 × 2
⇒ 5 × (3 × 4) + 20 ÷ 4 × 2
⇒ 5 × 12 + 20 ÷ 4 × 2
Dividing :
⇒ 5 × 12 + 20 ÷ 4 × 2
⇒ 5 × 12 + 5 × 2
Multiplying :
⇒ 5 × 12 + 5 × 2
⇒ 60 + 10
Adding :
⇒ 60 + 10
⇒ 70
A parking garage charges $2.00 for the first hour and $0.80 for each additional hour. Which of the following could be used to find C, the cost in dollars of parking h hours?
Answer:
C = 2(h - 1) + 0.80
The answer what is it
Please help this is for my younger sibling 70 points!!!
Part A: What fraction of the flips landed heads up, and what fraction landed tails up?
Heads up: ___________Tails up: _____________
Part B: What is the probability of the coin landing heads up on his next try?
Part C: Why didn’t Steve’s results match the probability of a coin landing heads up?
Heads is 6/10 and tails is 4/10
if answer needs to be simplified then heads is 3/5 and tails is 2/5
Heads: Fraction= 6/10 simplified=3/5 Percentage= 60% Decimal=0.6
Tails: Fraction= 4/10 simplified=2/5
Percentage=40% Decimal=0.4
brainliest if answer is good
Which is the
slope-intercept form of the equation of the line with a slope
of -4 that passes through the point (-3, 1)?
Oy=-4x-11
Oy - 1 = -4(x + 3)
Oy+1 = 4(x-3)
y = 4x + 11
Answer:
y = -4x - 11
Step-by-step explanation:
This equation is in slope-intercept form.
y = mx + b
Slope-intercept form is a fill-in-the-blank shortcut to write an equation of a line. The m is the slope right beside the x (b is the y-intercept, but we don't even need that for this question) Only the first and last answers are in the correct format and only the first one has the right slope. You can also check it by putting (-3,1) into the equation. It checks! Graphing is a good check also.
Use the exchange rate £1 = €1.11 to convert €222 into £.
sin³ 0 +cos³0 / sin 0+ cos 0 = 1-sin 0 cos 0
Answer:
Step-by-step explanation:
SHOW THAT:
sin³ 0 +cos³0 / sin 0+ cos 0 = 1 - sin 0 cos 0
Now, using the identity a^3 + b^3 = (a + b)(a^2 + b^2 - ab):
sin³ 0 +cos³0 = (sin 0 + cos 0)(sin² 0 +cos²0 - sin0 cos 0)
As sin² 0 +cos²0 = 1 we have:
sin³ 0 +cos³0 = ( sin 0 + cos 0)(1 - sin0 cos 0)
So we can write the left side of the original expression as
( sin 0 + cos 0)(1 - sin0 cos 0) / (sin 0+ cos 0)
= 1 - sin0 cos 0 = Right side
= and we are done!.
Solve for y when x = 5.
y = 3x + 4
Answer:
19
Step-by-step explanation:
Plug in
y = 3(5) + 4y = 198696 is divisible by what numbers?
*choose all that apply*
9
10
4
3
6
2
5
d
Answer:
4 and 2
Step-by-step explanation:
please mark me as hhhshhàg jb hhhh bcuz
20 ÷ (5x2/5) + 3 help please
Answer:
13
Step-by-step explanation:
hey take a deep breath! you got this!
it's really simple if you use the format PEMDAS
P- parentheses
E-exponents
M-Muliplication
D-divison
A-addition
S-subtraction
or mostly used
P
E
M or D
A or S
(depends from which side just start Ex 2-1+8 you wouldn't do the plus first but the subtraction because we're going left to right. If it's 2x8-6+10 then we do multiplication first cause that step comes first, the minus then addition! hope that isn't to confusing!)
ok so our equation is 20÷(5x2/5)+3
whats our first step? remember PEMDAS!
Its Parenthesis! so first we do the equation (5x2/5)
since multiplication and division are in the same "category" we go left to right
so first we do 5x2=10 and then we do 10/5 which is equal to 2!
ok now we add back the rest of our equation!
20÷2+3 since we already solved the Parenthesis
now what come first? division or addition?
its division because.. once again... PEMDAS!!
So now we do 20÷2 which is equal to 10!
now whats left is to add 3!
and 10+3 is equal to .... 13!!!
I know it seems like a lot but you'll get the hang of it! just take it easy and take your time :)
Which function is described by the value in the table
Answer:
second one
Step-by-step explanation:
At the beach, nardia collected triple the number of seashells that pierre did. together, they collected 52 seashells. which equations represents p, the number of seashells that pierre collected. 3 p p = 52 3 p = 52 52 p = 3 p 52 p = 3
The equation that represents p, the number of seashells that Pierre collected is 3p + p = 52
Writing a system of equationFrom the question, we are to determine the equation which represents p
From the given information,
Nardia collected triple the number of seashells that Pierre did
If Pierre collected p number of seashells
Then,
Nardia collected 3p number of seashells
Also, from the given information,
They collected 52 seashells in total
That is,
3p + p = 52
Hence, the equation that represents p, the number of seashells that Pierre collected is 3p + p = 52.
Learn more on writing an equation here: https://brainly.com/question/4710052
#SPJ4
8. Use the compound-interest formula to find the account balance A, where P is principal, r is interest rate, n is number of compounding periods per year, t is time, in years, and A is account balance.
Answer:
Step-by-step explanation:
[tex]P = 56,150(1 + \frac{0.095}{4})^{ 4(2.5)[/tex]
≈ $71005
the lengths of the side of a triangle are 8,10,12 is the triangle acute, right, or obtuse?
Answer:
acute triangle
Step-by-step explanation:
because (12)^2 = 144 while [tex]8^{2}[/tex] + [tex]10^{2}[/tex] = 164 which means the sum of it's smaller angles are greater than it's greatest angle so it's an acute triangle
Answer:
take the two smaller sides, call them a and b. call the longest side c.
if a^2 + b2 = c^2 you have a right triangle
if < c^2 it's acute
if > c^2 it's obtuse
in addition, if you can find a,b,c such that
a=b=c it's equilateral
a=b≠c it's isosceles
a≠b≠c it's scalene
plug in your numbers and make your choice.
Step-by-step explanation:
An object is fired from a cannon. Its height after t seconds is given by the function
h(t)= 16t² + 128t + 140 feet. How high was the object after 2 seconds?
=
The object was
feet high.
Answer:
332 feet
Step-by-step explanation:
Height = h(2) = - 16(2^2) + 128t + 140 ( NOTE: I added the minus sign)
= 332 feet
The maximum height is 908 feet.For a parabola, h = ax^2 + bx + c, the vertex at point (h,t), is first found by the equation t = b / 2a, and then plugging that point into the equation to find h.
What is more about the problem?For a parabola, h = ax^2 + bx + c, the vertex at point (h,k), is first found by the equation t = b / 2a, and then plugging that point into the equation to find h.
Given the equation h = 16t^2 + 128t + 140, we know a = 16, b = 128, c = 140.
t = -b/2a
t = -(128) / 2(16)
t = -128 / 32
t = 4 seconds
let's plug in t=4 to our equation:
h = 16t^2 + 128t + 140
h = 16*(4)^2 + 128*(4)+ 140
h = 908ft
h = 908 feet
answer is that the maximum height is 908 feet.
To learn more about feet high refer to:
https://brainly.com/question/11376348
#SPJ9
A watch which looses a half a minute every hour was set to read the correct time at 0445hr on Monday. Determine in twelve hour system the time the watch will show on Friday at 1845hr the same week.
Answer:
see below
Step-by-step explanation:
Using a 24 HOUR SYSTEM
The total time from Monday to Friday times given
= 24 x 4 + (18:45 - 4:45) = 96 + 14 = 110 hours
110 hours * 30/3600 = .91667 hours lost = 55 minutes lost
watch will show 18:45 - 55 minute = 17:50 ( 5:50 in 12-hour system)
A spherical balloon is inflated so that its volume is increasing at the rate of 2.5 ft3/min. How rapidly is the diameter of the balloon increasing when the diameter is 1.3 feet?
Answer:
.9417 ft/min
Step-by-step explanation:
Sphere volume = 4/3 pi r^3
dv/dr = 4/3 pi * 3 r ^2 = 4 pi r^2
dv/dr * dr/dt = dv/dt = 4 pi r^2 dr/dt
2.5 = 4 pi (1.3/2)^2 dr/dt (Diameter is 1.3 , radius is 1.3/2)
dr/dt = .4709 ft/min
THIS answer is how fast the RADIUS is changing
the DIAMETER is changeing TWICE this:
2 x .4709 ft/min = .9417 ft / min = diameter/dt
7.) Find the center and radius of a circle with the equation (x − 4)² + (y − 2)² = 100.
Answer:
Centre is (4,2) and radius is 10
Step-by-step explanation:
The circle equation is of form,
=> (x - a)² + (y - b)² = r²
where the centre is (a,b) and radius is 'r'.
O
1) Complete the square to determine the maximum or minimum value of the function defined by the expression.
x² - 2x-5
A) minimum value at 1
B) minimum value at -6
C) minimum value at -1
D) maximum value at -6
Anyone please help me this I can't solve so I need help.༎ຶ‿༎ຶ waaaaaahhhhhh
This is your answer. I keep hope it will help you
which grade are you studying