Answer:
240 yd³
Step-by-step explanation:
[tex]V=\frac{lwh}{3}[/tex]
10 · 8 · 9 = 720
720 ÷ 3
240 yd³
Answer:
[tex]volume = \frac{1}{3} lwh\\\\convert \ yard \ to \ feet\\8yd =24feet\\9yd= 27feet\\\\volume = \frac{1}{3}*10*24*27 = 10*8*27 = 2160 cubic feet[/tex]
A multiple choice test contains questions
with four options each: A, B, C, or D. If
Natalie randomly guesses on the last three
questions, what is the probability that she
gets all three correct?
Answer:
Probability of getting all three correct answer = [tex]\frac{1}{64}[/tex]
Step-by-step explanation:
Given - A multiple choice test contains questions with four options each: A, B, C, or D. If Natalie randomly guesses on the last three questions.
To find - what is the probability that she gets all three correct.
Proof -
Given that, question has 4 options.
And 1 option can be correct,
Let
x be that Natalie gives correct answer.
So,
Probability of getting, correct answer, P(x) = [tex]\frac{1}{4}[/tex]
So,
Probability of getting, incorrect answer, P(x') = 1 - [tex]\frac{1}{4}[/tex] = [tex]\frac{3}{4}[/tex]
Now,
Given that, she guess the 3 questions.
All correct means,
first, second, third question answer is correct.
So,
Probability of getting all three correct answer = [tex]\frac{1}{4}[/tex]×[tex]\frac{1}{4}[/tex]×[tex]\frac{1}{4}[/tex] = [tex]\frac{1}{64}[/tex]
Natalie paid $20.7 for 3 small pizzas and a salad which was $3.
Write an equation to represent the situation
Solve the equation to find the cost of one pizza. Show your work
Answer: x=5.9
Equation: 20.7= 3x+3
Step-by-step explanation:
20.7=3x+3
-3 -3
——————
17.7= 3x
————-
3
5.9= X
Was that ok? :) ur a smart kid so I’m sure you’ll figure this out but if u do have questions just put it in the comments :)
A company rents storage sheds shaped like rectangular prisms. Each shed is 13 feet long and 6 feet wide and 12 feet tall the rental cost is 4$ per cubic foot how much does it cost to rent one shed
Answer:
It costs $3,744 to rent one shed.
Step-by-step explanation:
Given that a company rents storage sheds shaped like rectangular prisms, and each shed is 13 feet long and 6 feet wide and 12 feet tall, and the rental cost is 4 $ per cubic foot, to determine how much does it cost to rent one shed The following calculation must be carried out, knowing that the volume of a rectangular prism is obtained by multiplying its length by its width and its height:
(13 x 6 x 12) x 4 = X
(78 x 12) x 4 = X
936 x 4 = X
3.744 = X
Therefore, it costs $ 3,744 to rent one shed.
Convert 30 m/s to miles per hour.
Use 1 mile per hour = 1.61 km/h
Answer:
1 = 1.61
30 = x
1.61 x 30 =
48.3
Answer:
67.08 m/h
Step-by-step explanation:
need to convert 30 m/s to km/h = 108 km/h
1 = 1,61
x=108
x=108/1.61
30 m/s = 67.08 m/h
Which equation is true when x =
1
2
?
A.
6
÷
x
=
3
B.
8
x
=
16
C.
x + 2 = 1
D.
10
÷
x
=
20
Answer:
Step-by-step explanation:
NO ONE IS TRUE
6/12=2NOT 3
8*12=96NOT16
12+2=14 NOT 1
10/12=1.2 NOT 20
An average of 40 cars per hour arrive to be painted at a single-server GM painting facility. 95% of the cars require 1 minute to paint; 5% must be painted twice and require 2.5 minutes to paint. Assume that interarrival times are exponential.
a. On the average, how long does a car wait before being painted?
b. If cars never had to be repainted, how would your answer to part (a) change?
Answer:
2.719 minutes
Step-by-step explanation:
Step 1 :
We have to consider using the M/G/I /GD /∞/∞ Queuing system with the rate of arrival λ and the rate of service μ.
Since average of 40 cars arrive every hour at the painting facility, it follows that:
Arrival rate λ = 40cars /hour
= 40/60 cars/hour
=2/3 cars/hour
More, we were told that 95% of the cars require 1 minute to paint, 5% must be painted twice and require 2.5 minutes to paint, therefore, the average time to paint a car is given by
95/100x1 + 5/100 x 2.5 = 19/20 + 1/8 = 43/40min
It follows that:
Service rates μ = 40/43cars/min
solve the given system of equations 2x + 8y= 5 and 24x - 4y = -15
9514 1404 393
Answer:
(x, y) = (-1/2, 3/4)
Step-by-step explanation:
A graphing calculator does a nice job of finding the solution.
(x, y) = (-1/2, 3/4)
__
You can eliminate y by adding twice the second equation to the first.
(2x +8y) +2(24x -4y) = (5) +2(-15)
50x = -25
x = -1/2 . . . . . . divide by 50
__
24(-1/2) -4y = -15 . . . . .substitute for x in the second equation
-4y = -3 . . . . . . . . . add 12
y = 3/4 . . . . . . . . . divide by the coefficient of y
The solution is (x, y) = (-1/2, 3/4).
Find y.
please help if you can
Answer:
90°
Step-by-step explanation:
this is a right angled triangle, and to that effect, a right angle triangle is on 90°
therefore y is 90°
PLEASE HELP NEED TO GRADUATE
Answer:
B) 6x³+4x-2
Step-by-step explanation:
B) 6x³+4x-2
David is making lemonade. He needs a cup of sugar for container of lemonade. One pack of
sugar has 8 cups of sugar. How many cups of packs does David need to make 32 containers
of sugar?
Answer:
32÷8=4
Step-by-step explanation:
1 pack of sugar is 8 and he needs 32 so 32 divided by 8 of 1 pack will then get you 4 packs he will need.
Write an equation of a line that has a slope of 1 and
goes through the point (6,8).
Plllzzz hellp
9514 1404 393
Answer:
y = x + 2
Step-by-step explanation:
The slope-intercept form equation is ...
y = mx + b . . . . . . slope m, y-intercept b
We are given the slope, so we only need to find the y-intercept. When we solve for b, we find ...
y - mx = b . . . . . . subtract mx
8 - 1(6) = b = 2 . . . . fill in given values of (x, y) and m
Then the equation of the line is ...
y = x +2
help please with no link
Answer: 72yd^2
Step-by-step explanation:
Answer:
72 is the answer
Step-by-step explanation:
it is a kite shape so
formula is
1/2 (d1 +d2)
Find the area of the shaded region 29.8, 28, 13
The solution is, The area of the shaded region is 112cm^2.
What is area ?Area is the measure of a region's size on a surface. The area of a plane region or plane area refers to the area of a shape or planar lamina, while surface area refers to the area of an open surface or the boundary of a three-dimensional object.
here, we have,
First find the area of the rectangle
A = l*w
= 9*16
= 144
The unshaded area is a trapezoid
A = 1/2 ( b1+b2) *h
= 1/2 ( 5+11) * 4
= 1/2 (16) * 4
=32
The area of the shaded region is
rectangle - trapezoid
144-32
112cm^2
Hence, The solution is, The area of the shaded region is 112cm^2.
To learn more on Area click:
brainly.com/question/20693059
#SPJ3
Help!! Can someone explain this to me I’m not getting it.
Answer:
A. 99 sq cm
Step-by-step explanation:
Area of geometric shape
= 2 times the area of one triangle with base a and height c
+ 2 times the area of one triangle with base c and height b
+ Area of rectangle with dimensions a and c.
[tex] = 2 \times \frac{1}{2} ac + 2 \times \frac{1}{2} bc + ac \\ \\ = ac + bc + ac \\ \\ = 2ac + bc \\ \\ = 2(13)(3) + 7(3) \\ \\ = 78 + 21 \\ \\ = 99 \: sq \: cm[/tex]
=============================================================
Explanation:
The rectangular base has area of length*width = a*c = 13*3 = 39 square cm. Let m = 39 since we'll use it later.
The triangles on the left and right sides have an area of base*height/2 = c*b/2 = 3*7/2 = 21/2 = 10.5 sq cm. They combine to an area of 2*10.5 = 21 sq cm. Let n = 21 since we'll use it later.
The triangles in the north and south positions have base 'a' and height 'c', so the area of each is base*height/2 = a*c/2 = 13*3/2 = 39/2 = 19.5 sq cm. That means the two north and south triangles add up to 19.5+19.5 = 39 sq cm. Let p = 39 since we'll use it later.
Overall, we have a total area of m+n+p = 39+21+39 = 99
The area of this flat 2D figure is 99 sq cm. If we folded along the dashed lines, then we'd get a 3D rectangular pyramid that has surface area of 99 sq cm. The surface area is the amount of material along the outside of the 3D figure. Or you can think of it like saying "If we painted all four sides of the 3D pyramid, then we cover 99 cm^2 of area".
to solve an equation with a variable which of the following are done? the value of the variable should be guest first inverse operation are used the variable needs to be isolated addition is always used select all that apply.
9514 1404 393
Answer:
inverse operation are used the variable needs to be isolatedStep-by-step explanation:
A solution is always of the form ...
variable = something
In order to get this form, the variable needs to be isolated (put by itself on one side of the equal sign).
In general, isolating the variable involves using inverse operations to "undo" whatever is done to the variable. These are generally applied in the reverse order of the operations that are done to the variable. The list of operations done and their order can be identified using the Order of Operations to consider how an equation would be evaluated for some value of the variable.
choose the correct symbol to compare the fraction 8/10 and 4/5
Answer:
[tex]\frac{8}{10} =\frac{4}{5}[/tex]
Step-by-step explanation:
Both the numerator and denominator of the fraction [tex]\frac{8}{10}[/tex] share a common factor of 2, so you can divide the fraction by [tex]\frac{2}{2}[/tex](1). This leaves you with:
[tex]\frac{8}{10}[/tex] ÷ [tex]\frac{2}{2}[/tex] = [tex]\frac{4}{5}[/tex]
This means that the fraction [tex]\frac{8}{10} =\frac{4}{5}[/tex].
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
Write the quadratic equation in factored form. Be sure to write the entire equation.
x2 - 5x - 24 = 0
Answer:
2x-5x-24=0
-3x-24=0
-3x=24
x=24/-3
x=-8
Answer:
x=x2-24/5
2 −24
Step-by-step explanation:
x2−5x−24=0
Add 5x to both sides. Anything plus zero gives itself.
x
2
−24=5x
Add 24 to both sides.
x
2
=5x+24
Which measurement is most likely to be used to determine the diameter of the well cap?
Answer:
B. the second one
Step-by-step explanation:
The dimensions of the fountain cup are as follows:
• Height is 8 feet.
• Diameter of the top is 6 feet.
• Diameter of the base is 4 feet.
Use this formula with height, h, radius of the base, base, and radius of the
top, top, to determine the volume of the cup:
V
(oh)
-((base)? + (base) (stop) + (stop)).
3
There are 7.5 gallons of liquid per cubic foot.
Enter the volume, in gallons, of the fountain cup.
Answer:
Volume of fountain cup in gallons = 1,192.5 gallon (Approx.)
Step-by-step explanation:
Given:
Height of Frustum = 8 feet
Diameter of top = 6 feet
Diameter of base = 4 feet
Find;
Volume of fountain cup in gallons
1 cubic foot = 7.5 gallons
Computation:
Radius of top = 6 / 2 = 3 feet
Radius of base = 4 / 2 = 2 feet
Volume of fountain cup in gallons = (πh/3)[R² + r² + Rr]
Volume of fountain cup in gallons = [(3.14)(8)/3)[3² + 2² + (3)(2)]
Volume of fountain cup in gallons = [8.37)[9 + 4 + 6]
Volume of fountain cup in gallons = [8.37)[19]
Volume of fountain cup in gallons = 159.03
Volume of fountain cup in gallons = 159 feet³
Volume of fountain cup in gallons = 159 x 7.5
Volume of fountain cup in gallons = 1,192.5 gallon (Approx.)
These cones are similar. Find the surface
area of the smaller cone. Round to the
nearest tenth.
2 cm
3 cm
Surface Area = [ ? ) cm2 Surface Area = 75 cm2
Helppppp plssss
Answer:
33.3 cm²
Step-by-step explanation:
Recall: Area Scale Factor = (Linear Scale Factor)²
Area scale factor = surface area of bigger cone/surface area of smaller cone
Let the surface area of the smaller cone be represented as x
Therefore,
Area scale factor = 75/x
Linear scale factor = radius of bigger cone/radius of smaller cone = 3/2
Thus:
75/x = (3/2)²
75/x = 9/4
Cross multiply
x*9 = 75*4
9x = 300
Divide both sides by 9
x = 300/9
x = 33.3 cm² (nearest tenth)
Connor made 16 brownies. He put nuts on 6 brownies. Write
the simplified fraction of the brownies that had nuts.
6/16 = 3/8
hope this helps
Helppp PLEASEEEE!!!!!! !!!
Answer:
-3hf
Step-by-step explanation:
Tessellations
Determine whether the following regular polygon tessellates the plane.
Decagon
a. Yes; measure or interior angle = 144
b. no; measure of interior angle = 144
c. yes: measure of interior angle = 36
d. no; measure of interior angle = 36
Please select the best answer from the choices provided
Answer:
B. No; measure of interior angle = 144
Step-by-step explanation:
I calculated it logically
Find the volume of a sphere with a diameter of 6 feet. Round your answer to 2 decimal places. [Use pi = 3.14
5(x+1)=4(x-1)+x
What is x?
Answer:
There isn't an answer.
Step-by-step explanation:
5(x+1) = 4(x-1) + x
5x + 5 = 4x - 4 + x
5x +5 = 5x -4
0 = -9
no x, so no answer.
Find the measure of 0. Round answer to the nearest tenth. Pleas help
Answer:
[tex]\theta=36.43^{\circ}[/tex]
Step-by-step explanation:
Given that,
Base = 42
Perpendicular height = 31
We need to find the value of [tex]\theta[/tex]. It can be calculated using trigonometry as follows :
[tex]\tan\theta=\dfrac{P}{B}\\\\\theta=\tan^{-1}(\dfrac{P}{B})[/tex]
Put all the values,
[tex]\theta=\tan^{-1}(\dfrac{31}{42})\\\\\theta=36.43^{\circ}[/tex]
So, the value of [tex]\theta=36.43^{\circ}[/tex].
If using the method of completing the square to solve the quadratic equation x² - 16x - 38 = 0, which number would have to be added to "complete the square"?
Answer:64
Step-by-Step
Image
PLssssssssssssss help..
Answer:
141.4
Step-by-step explanation:
i think
Please help me!!!
If a girl is in 6th grade and has 3 A's 1 B, 1 C and 1 D in grades what is her grade point average.
please help this could determine whether i go to the next grade or not
Answer:
Her GPA is 3
Step-by-step explanation:
an A is 4 points
B is 3 points
C is 2 points
D is 1 point
She has A, A, A, B, C, D for her grades. (6 grades total)
That equals
4 + 4 + 4 + 3 + 2 + 1 = 18 points
Then we divide the points by the number of grades we're looking at.
18/6 = 3
Her grade point average is 3.
Answer:
Grading Chart
A = 4.0 A- = 3.67 B+ = 3.33 B = 3.0 B- = 2.67
C+ = 2.33 C = 2.0 C- = 1.67 D = 1.0 F = 0.0
So your semester GPA is: 3.44
Also your semester Credit Total is: 18
Jaquanda wants to purchase a side-by-side condo and needs to borrow $150000 with a 30-year fixed loan with an APR of 8.0. The condo has a monthly fee of $305. What will be her total
monthly payment?
$1405.65
$1511.93
$1412.98
$1447.09
oh no noooooooooooooooooooooooooooooooooooooooooooo