Answer:
y= 550-12x
Step-by-step explanation:
Given data
Content of tank= 550 gallons
Rate of drain= 12gallon per minute
let the time it will take to drain all 550 gallons be x minutes
Hence the expression for amount of water in the tank after x minutes will be
y= 550-12x
10. What is the volume of a rectangular prism with the following dimensions: 5 in. x 2 3/4 in. x 10 1/2 in.? cubic inches
Answer:
144.375 or 144 3/8
Step-by-step explanation:
volume of rectangular prism= length x width x height
5in. x 2 3/4in. x 10 1/2 in. <- fractions can be converted to:
5in. x 2.75in. x 10.5 in. <- multiply and get:
= 144.375in.
in fraction form: 144 and 3/8
If 3 runners has a mean running time of 6.2, 7.4 and.6.9 and had an interquartile range of 1.1, .02 and .08 who would be the fastest runner
Answer:
The runner with a mean running time of 6.2
Step-by-step explanation:
The value range parameters of the three runners are;
The mean running time of the runner, A = 6.2
The mean running time of the runner, B = 7.4
The mean running time of the runner, C = 6.9
The interquartile range of the runner, A = 1.1
The interquartile range of the runner, B = 0.02
The interquartile range of the runner, C = 0.08
Whereby the number of running times for the 3 runners is large, and with the assumption that distribution of the mean is normal, we have
The mean = The mode of the data
Therefore, the minimum, and maximum running time of the runners are;
Runner A;
Minimum running time = 6.2 - 1.1 = 5.1
Maximum running time = 6.2 + 1.1 = 7.3
Runner B;
Minimum running time = 7.4 - 0.02 = 7.38
Maximum running time = 7.4 + 0.02 = 7.42
Runner C;
Minimum running time = 6.9 - 0.08 = 6.82
Maximum running time = 6.9 + 0.08 = 6.98
The fastest runner has the lowest running time;
Therefore, the fastest runner is runner A with a mean running time of 6.2 with a minimum running time of 5.1
Find X to solve to problem and find all the angles
Answer:
Step-by-step explanation:
x + x + 65 °+ 25° = 180° ( being sum of angles of triangle )
2x + 90° = 180°
2x = 90°
x = 45
now
<A = 45°
< B = x + 65° = 45 °+ 65 °= 110°
< C = 25°
Hope it helps :)
Find the lateral area of this cone, leave your answer in terms of pi. hight-12, radius-5
Answer:
Just search up Mathaway in your browser and it will give you the answer and a step by step explanation
Step-by-step explanation:
Answer:
The answer is 65
Step-by-step explanation
You need the slant height to find the lateral area of the cone, so using the equation l = √h²+r², you plug in the height for h, the radius for r, and l is the slant height.
l =√12²+5²
l = √144 + 25
l = √169
l = 13
Now that you have the slant height, simply multiply that by the radius and you'll get the lateral area in terms of pi.
A = π×13×5
A = 65π
YOOOOOOOO A MILLION POINTS FOR EVA DOES THIS :POG:
Answer:
∆WUV⁓∆SRT
Step-by-step explanation:
Can someone help me with this pls
Mary, Josephine, Quinn, Taylor, Max, and Taylor went out to lunch and the total bill was $72. Mary puts in $20 , and Josephine puts in $12. The rest of the group splits the bill equally. Which equation and solution represent the amount a that each of the remaining people pay?
Answer:
i. The equation required = [tex]\frac{remaining amount of the bill}{remaining number of people}[/tex]
ii. Remaining people would pay $10 each.
Step-by-step explanation:
Total number of people involved = 6
Total bill of their lunch = $72
Mary and Josephine paid = $20 + $12
= $32
The remaining bill to be paid = $72 - $32
= $40
The rest of the group = 4
Splitting the remaining bill equally,
the equation required = [tex]\frac{remaining amount of the bill}{remaining number of people}[/tex]
= ($40) ÷ 4
= $[tex]\frac{40}{4}[/tex]
= $10
The amount that each of the remaining people would pay is $10.
I need the know the answer in A B C because I’m confused
Answer:
Step-by-step explanation:
a) edj
b) ed
c) i think ag
a) 23 x 11 - 23 x 10
Step-by-step explanation:
= 23 × 11 - 23 × 10
= 23 ( 11 - 10)
= 23 ( 1)
= 23
plz mark my answer as brainlist plzzzz.
hope this will be helpful to you .
14
How many solutions does the system of linear equations represented in the graph below have?
A) No solution
B) one solution
C) infinity many solutions
D) none of the above
Question how do I find the value of x?
Answer:
20
Step-by-step explanation:
The total degrees in a circle is 360 degrees
x+40+2x+110+3x+90 = 360
==> 6x = 120
x = 20
Answer:
The answer would be x=20
5x-3=121
to
5x=-36
Explain how the first one ended up to be the second one.
Answer:
you may have done this wrong
Step-by-step explanation:
5x-3=121
add 3 on both sides
5x=-36<------what you did was wrong
you should have ended up with...
5x=124
divide by 5 on both sides
x=24.8
I need help please?!
my best guess for this is x + 1
x + 1 4
PLS ANSWER WILL GIVE BRAINLIEST
Answer:
$50
Step-by-step explanation:
Answer:50
Step-by-step explanation:
which expression makes the equation true for all values
Answer:
Which equation?
Step-by-step explanation:
8 A right rectangular prism is completely filled with small cubes. Each small cube
has edges that are 1/4 in. long. The volume of the prism is 5 in.. How many cubes
does it take to fill the prism?
A-20
B-64
C-125
D-320
The number of cubes in the rectangle prism will be 320. Then the correct option is D.
What is the volume of the rectangular prism?Let the prism with a length of L, a width of W, and a height of H. Then the volume of the prism is given as
V = L x W x H
A right rectangular prism is completely filled with small cubes. Each small cube has edges that are 1/4 inches long. The volume of the prism is 5 inches.
Let 'n' be the number of cubes. And all the sides of the cube are congruent. Then the volume of each cube is calculated as,
Volume of cube = (1/4) x (1/4) x (1/4)
Volume of cube = 1 / 64 cubic inches
The volume of the rectangle and the volume of small 'n' cubes will be equal. Then we have
Volume of 'n' cube = Volume of a rectangle
(1 / 64) n = 5
n = 5 x 64
n = 320
The number of cubes in the rectangle prism will be 320. Then the correct option is D.
More about the volume of the rectangular prism link is given below.
https://brainly.com/question/21334693
#SPJ2
Please help me with this!!
4x+2=150 150-2=148 148/4= 37
Answer:
37
Step-by-step explanation:
first option, 37..................................................................................................................................................................................................................................................................................................
A 24 foot flagpole casts a shadow. The distance along the ground from the base of the pole to the tip of the shadow is 9 feet. What is the distance from the top of the pole to the tip of the shadow (nearest tenth)?
Answer:
9.4 feet to the nearest tenth.
Step-by-step explanation:
This makes a right triangle so we use Pythagoras:
23^2 = 21^2 + d^2 where d is the required distance.
d^2 = 23^2 - 21^2
d^2 = 88
d = √88 = 9.3808
A board with 86cm in length must be cut so that one piece is 20cm longer than the other piece .find the length of each piece
Answer:
33cm ; 53 cm
Step-by-step explanation:
Let the length of one piece = x cm
Length of the other piece = (x + 20) cm
x + ( x+ 20) = 86 cm
x + x + 20 = 86
2x + 20 = 86
2x = 86- 20
2x = 66
x = 66/2
x = 33 cm
Length of the longer piece = x + 20 = 33 +20 = 53 cm
convert 4 miles into cm. show your work
Answer:
643737.6
Step-by-step explanation:
1 inch is 2.54 centimeters. 2.54 centimeters is 1 inch. 12x2.54 =30.48. 30.48 is equal to one foot because 12 inches are in 1 foot and one inch is 2.54 centimeters. 1 yard is 3 feet so 30.48x3=91.44. 1 yard is equal to 91.44 centimeters. 1 miles is 1760 yards so 91.44x1760= 160934.4. 1 mile is equal to 160934.4 centimeters. Since 1 mile is equal to 160934.4 centimeters, you have to multiply 160934.4 by 4 to get 4 miles. 160934.4x4=643737.6 and this is your final answer. Therefore, 4 miles is equal to 643737.6 centimeters.
If a meteorologist says there is a 25% chance of snow tomorrow, what is the probability that it will not snow? I need and answer in fraction form
(this is 12 year old math)
The prince of a visit to the dentist is calculated according to the formula 50+100n where N is the number of cavities the dentist finds.
On your last visit to the dentist, 2 cavities were. found
what was the cost of your visit?
hes right the answer would be 50+200n so 200
Octers on product box
Usplay
and front-firing
speakers
Answer:
Step-by-step explanation:
A trust me and c
Determine whether the following sequence is arithmetic, geometric, or neither.
1, 4, 9, 16, ...
Answer:
ok
Step-by-step explanation:
Answer:
1,4,9,16
[tex] \frac{t2}{t1} = \frac{4}{1} \: \: \: \: \geometric[/tex]
Step-by-step explanation:
you first divide the second term by the first term
A set of magical wand prices are normally distributed with a mean of 50 dollars and a standard deviation of 4 dollars. A blackthorn wand has a price of 45.20
Complete Question
A set of magical wand prices are normally distributed with a mean of 50 dollars and a standard deviation of 4 dollars. A blackthorn wand has a price of 45.20. What proportion of wand prices are lower than the price of the blackthorn wand? You may round your answer to four decimal places
Answer:
0.1151
Step-by-step explanation:
We solve using z score formula
z = (x-μ)/σ, where
x is the raw score = $45.20
μ is the population mean = $50
σ is the population standard deviation = $4
We are solving for x < 45.20
Hence:
z = 45.20 - 50/4
z = -1.2
Probability value from Z-Table:
P(x<45.20) = 0.11507
Approximately to 4 decimal places = 0.1151
Therefore, the proportion of wand prices that are lower than the price of the blackthorn wand is 0.1151
Can someone plz help me with this!!!
Answer:
Yes it does
Step-by-step explanation:
-4 times -5 equals 20, then you subtract -7 which gives you 27
plssssssssssssssssssssssssssss
Answer:
D) 2275
Step-by-step explanation:
What is the missing side of the missing triangle. Round your answer to the
nearest hundreths. (ex: 10.01)*
7
2
Your answer
Answer:
Step-by-step explanation:
√(7² + 2²) = √53 ≅ 7.28
9x + 4
*
5x + 20
x = [?]
A
B
49x
Step-by-step explanation:
Find the value of x.
Answer:
x = 60
Step-by-step explanation:
Remark
The two angles that are equal are remote interior angles. They add to 120
Step one
y + y = 120 Combine
2y = 120 Divide by 2
y = 120/2
y = 60
Step Two
Find the angle vertically opposite to the 60 degree angle near the center on the left hand triangle.
The vertically opposite angle is 60. If you know one vertically opposite angle, you know the other one.
Step Three
State the value of the angle that is vertically opposite x.
The angles value is 60o. You are working with an isosceles triangle according to the markings on the triangle.
Step Four
State the value of x
The value of x = 60 degrees. It is equal to the angle described in step three.