Answer:
The volume of the water in the tank is 112 m³
Step-by-step explanation:
The volume of the rectangular prism V = L × W × H, where
L is its lengthW is its widthH is its height∵ A rectangular tank has a length of 4 m, a width of 12 m, and
a height of 3.5 m
∴ L = 4 m
∴ W = 12 m
∴ H = 3.5 m
∵ V = L × W × H
∴ The volume of the tank = 4 × 12 × 3.5
∴ The volume of the tank = 168 m³
∵ The tank is filled with water [tex]\frac{2}{3}[/tex] of its capacity
→ That means the volume of the water is [tex]\frac{2}{3}[/tex] the volume of the tank
∵ The volume of the water = [tex]\frac{2}{3}[/tex] the volume of the tank
∴ The volume of the water = [tex]\frac{2}{3}[/tex] × 168
∴ The volume of the water = 112 m³
∴ The volume of the water in the tank is 112 m³
If m<1 = 113°, What is m<4 ???
Answer:
67
Step-by-step explanation:
m<1 and m<3 are the same so subtract 113x2, or 226
subtract 360 from 226
m<2+m<4=134
divide by 2 coz m<2 and m<4 are the same as well
m<4= 67
Please help I dont understand this pls
9514 1404 393
Answer:
A, D, E
Step-by-step explanation:
When the graph of a relation is a straight line, the relation is said to be "linear." When the graph of the line goes through the origin (x, y) = (0, 0), then the relation is both "linear" and "proportional."
The "rate of change" of a line is the ratio of "rise" to "run". On a graph of a line, it is convenient to determine "rise" and "run" using points where the line crosses grid intersections. Of course, there is a crossing here at (0, 0). We notice another grid intersection crossing at the point corresponding to x=2 and y = -6. Then the "rise" (y-change) divided by the "run" (x-change) is ...
rate of change = rise/run = -6/2 = -3
__
The equation of a line representing a proportion is of the form ...
y = kx
for some constant k. That constant is the "rate of change" of the proportion. Here, we found that rate of change to be -3, so the equation of the line is ...
y = -3x
The sales tax for an item was $19.20 and it cost $320 before tax. find the sales tax rate. Write your answer as a percentage.
Answer:
6%
Step-by-step explanation:
19.20 = 320x (suppose x = tax rate)
Divide both sides by 320
x = .06 or 6%
How to do this??
Help plsss
Answer:
18,675,630
Step-by-step explanation:
1.take 789^6 and multiply to get 4,734
2.take 789^5 and multiply to get 3,945
3.take the 2 products (4,734 and 3,945)and multiply to get 18,675,630
if this is not the right answer i'm sorry
Ernest wants to buy 21 new books for his book collection. If the average price for a
book is $20.45, about how much should he plan to spend?
Answer:
If each book cost $20.45 then you times it by 21 and the answer you would get is 429.45
Step-by-step explanation:
im 99% that its correct
Answer:
He should expect to spend as much as 429.45 (to be exact)
Step-by-step explanation:
It's really just simple math $20.45 multiplied by 21 is 429.45 (:
I'm sorry if I'm wrong. Have a great day and good luck!
A total of 120 students attend Top View High School. The ratio of teachers to students
is 1:30.
1. How many teachers are there at the school?
Use the slope formula to find the slope of the line that passes through the two given points. State whether the line is increasing, decreasing, horizontal, or vertical.
(3,7) and (9,6)
The slope is -1/6.
Using the slope formula m = (y₂-y₁)/(x₂-x₁),
m = (6-7)/(9-3) = -1/6
Because the slope is negative, the line is decreasing.
Mr. Alcazar bakes cookies in batches of 60 in batches of 90 if he makes 6 batches of 60 cookies in five batches of 90 cookies how many cookies does he bake?
Answer:
Mr. Alcazar baked 810 cookies.
Step-by-step explanation:
Given that Mr. Alcazar bakes 6 batches of 60 cookies and five batches of 90 cookies, to determine the amount of cookies that he cook, the following calculation must be performed:
(6 x 60) + (5 x 90) = X
360 + 450 = X
810 = X
Therefore, according to the calculation that has been made, Mr. Alcazar baked 810 cookies.
Suppose that the weight (in pounds) of an airplane is a linear function of the amount of fuel (in gallons) in its tank. When carrying gallons of fuel, the airplane weighs pounds. When carrying gallons of fuel, it weighs pounds. How much does the airplane weigh if it is carrying gallons of fuel?
Step-by-step explanation:
Suppose that the weight (in pounds) of an airplane is a linear function of the amount of fuel (in gallons) in its tank. When carrying 15 gallons of fuel, the airplane weighs 2187 pounds. When carrying 35 gallons of fuel, it weighs 2303 pounds. How much does the airplane weigh if it is carrying 50 gallons of fuel?
----
You have two points relating fuel and weight.
(15,2187) and (35,2303)
------------
slope = (2303-2187)/(35-15) = 5.8
----
intercept = ?
2187 = 5.8*15 + b
b = 2100
-------
Equation:
f(x) = 5.8x + 2100
---
f(50) = 2390 lbs.
====================
Expression A: 3(x + 2)Expression B: 3x + 6Which statement does not show that these expressions are equivalent?A.Both expressions involve addition.B.Substituting any value of x makes the expressions equivalent.C.3(x + 2) can be rewritten as 3x + 6 using the distributive property.D.The expressions name the same number regardless of the value of x.
Answer:
C.3(x + 2) can be rewritten as 3x + 6
Step-by-step explanation:
Given 3(x+2)
Evaluating the expression by opening the parenthesis;
3(x+2) = 3(x) + 3(2) Distributive law
3(x+2) =3x + 6
Hence 3(x+2) is equivalent to 3x+6
Hence the correct answer is C.3(x + 2) can be rewritten as 3x + 6
Convert. Simplify your answer and write it as a proper fraction or as a whole or mixed number.
? inches = 3 1/6 feet
38 inches.
(3 x 12) + 2 = 38 inches.
Rick ran for hour on Wednesday for a distance of 4.2 miles. On Thursday, he ran for 1 hour at the same speed he ran on Wednesday. How
many miles did Rick run on Thursday?
A 4.9 5 miles
B.3.15 miles
C5.60 miles
D5.25
Help please
Answer: C.5.60 miles
Step-by-step explanation:
I don’t know the explanation but I got it correct on a test that I was taking...
Rick ran 5.60 miles on Thursday at the speed of 5.60 miles per hour.
What is speed?In unit time, the distance covered by any object is called speed.
In mathematical term, Speed is express as S=D/T,
where S=speed, D=distance, T= time.
Given that,
Distance covered by Rick in 3/4 hour on Wednesday = 4.2 miles,
Also, Rick ran for 1 hour on Thursday at the same speed as Wednesday.
The speed on Wednesday = 4.2 / (3/4) = 5.6 miles / hour
Since, the speed is same on Thursday,
So the speed on Thursday = 5.6 miles per hour
The distance covered in 1 hour = 5.60 miles.
Hence, option (C) is correct.
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I need these answers please , only the ones circled. This is adding and subtracting unlike fractions
Answer:
1. 0
3. 17/20
5. 1/21
7 1 7/20
9. 1 7/30
11. 29/40
17. 1/6
13. 4/35
15. 1 1/3
Step-by-step explanation:good luck I hope I didn’t get any wrong
In a survey of 1,011 people age 50 or older, 73% agreed with the statement "I believe in life after death."
Is the value a parameter or a statistic ?
slope (m) = 3/5 passes through (-6, -8)
Answer:
y = 3/5x - 4.4
Step-by-step explanation:
let equation if the line be y = 3/5x + b
sub (-6, -8):
-8 = 3/5(-6) + b
b = -4.4
therefore, equation of the line: y = 3/5x - 4.4
Topic: Coordinate Geometry
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Show that the numbers below are rational and write each as a fraction:
(a) 0.73652913
(b) 0.746746746746...
Answer:
a) The number is:
0.73652913
There are 8 digits after the decimal point, then we need to multiply and divide by: 100,000,000 (8 zeros at the right of the 1)
0.73652913 = 0.73652913*(100,000,000)/(100,000,000) = 73,652,913/100,000,000
So we wrote this as a fraction of two integers.
b) The number is:
0.746746...
Where the periodic part is 746.
the periodic part has 3 digits, then we can do:
0.746746...*1000 = 746.746746....
Now we can subtract the number itself to get:
746.746746... - 0.746746... = 746
And what we did is:
N*1000 - N = N*999
Then to transform the number into a quotient of integers, we can multiply and divide by 999.
0.746746... = 0.746746...*(999)/(999) = 746/999
That is a quotient of two integers, so 0.746746... is a rational number.
You would like to buy new carpet for a room. The room is rectangular. The dimensions are 12 1 third feet by 10 3 over 4 feet. How many square feet of carpet do you need? Simplify (or reduce) your answer, if necessary.
HELP PLS!!
What is the measure, in degrees, of angle YXZ??
Answer:
20 degrees
Step-by-step explanation:
If ZWV = 115 then ZYX = 115.
115 + 45 = 160, 180 - 160 = 20
In math what are some of your strengths and weaknesses?
Answer:
Step-by-step explanation:
In math some strengths are strong number sense, like being able to quickly compare groups of items and know which is larger and which is smaller. Weakness in math are incomplete mastery of number facts and difficulty transferring knowledge along with making connections.
Which of the following is not a step in getting out of debt?
A. Stop using your credit cards
B. Consolidate your debts
C. Do not tell anyone you are in debt
D. Cash in some of your investments
A kite with diagonals is shown. It has side lengths of 13, 13, 37, and 37. The length from the left point to the middle point is 12, and the distance from the right point to the middle point is 12. The figure is a kite. What is the length of the kite’s longer diagonal? 5 units 35 units 40 units 48 units
The length of the kites longer diagonal will be 40 units. Option C is correct.
What is the Pythagoras theorem?Pythagoras theorem is a basic relationship in geometry between the three sides of a right triangle.
The digrame attached shows the length of all the sides as;
AB=37 units
BE = 12 units
BD = 13 units
BE = 12 units
To find:
The length of the kite’s longer diagonal, AD
From the figure it is observed the longest diagonal is the addition of the sides from the top of the triangle as;
From the triangle, AEB, according to Pythagoras theorem,
h²=p²+b²
AE² = AB²-BE²
AE²=37²-12²
AE=35 units
From the triangle according to Pythagoras theorem,
h²=p²+b²
DE²=BD²-BE²
DE²=13²-12²
DE = 5 unit
The length of the kites longer diagonal will be the sum of the two sides;
AD = AE+ED
AD= 35 + 5
AD = 40 units
The length of the kites longer diagonal will be 40 units.
Hence option C is correct.
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If 35% of the 300 students in 6th grade have an older brother or sister, how many 6th graders have an older sibling? To solve this problem, we can write and then create v 6th graders have an older brother or sister.
Answer:
105 students
Step-by-step explanation:
Answer:
105
Step-by-step explanation:
I have no clue what this is pls help me!!!!
Answer:
Label theta as the missing length. You are solving circle segment so use the formula
Area of Segment = θ − sin(θ)2 × r2 (when θ is in radians)
Area of Segment = ( θ × π360 − sin(θ)2 ) × r2 (when θ is in degrees)
So the answer would be 7.68
Step-by-step explanation:
HELP PLEASE ITS TIMED AND GRADED I WILL GIVE BRAINLIEST AND 5 STARS
HELP ME OUT FASTTTTTTTT
The fractions 1/4,1/2,3/12 and are shown below
Answer:
the first one
Step-by-step explanation:
Jacob performs the work shown to find tan Tangent 165 degrees. Tangent 165 degrees = negative StartRoot StartFraction 1 + cosine 330 degrees Over 1 minus cosine 330 degrees EndFraction EndRoot = negative StartRoot StartStartFraction 1 + (StartFraction StartRoot 3 EndRoot Over 2 EndFraction) OverOver 1 minus (StartFraction StartRoot 3 EndRoot Over 2 EndFraction) EndEndFraction = negative StartRoot StartStartFraction 2 + StartRoot 3 EndRoot Over 2 EndFraction OverOver StartFraction 2 minus StartRoot 3 EndRoot Over 2 EndFraction EndEndFraction EndRoot Equals negative StartRoot StartFraction 2 + StartRoot 3 EndRoot Over 2 minus StartRoot 3 EndRoot EndFraction EndRoot. Equals negative StartStartRoot 7 + 4 StartRoot 3 EndRoot EndEndRoot. Observe Jacob’s work. Use the drop down box to complete the statement. The error in Jacob’s work is
Answer:
the cosine expressions are reversed
Step-by-step explanation:
edge 2020
Why is “3 meals a day” a unit rate?The unchanging value of the ratio between two proportional quantities is
Answer:
Please check the explanation.
Step-by-step explanation:
'3 meals a day' is a unit rate because there is a 1 in the denominator.
A unit ratio is a fraction between two dissimilar units with a denominator 1.
'3 meals a day' indicate that someone is eating 3 meals in one day.
i.e. unit rate = 3 meals / per day
Therefore, we conclude that '3 meals a day' is a unit rate because there is a 1 in the denominator.
The unchanging value of the ratio between the two proportional quantities is called a constant of proportionality.
For example,
we know that the equation
[tex]y=kx[/tex]
where [tex]k[/tex] is the constant of proportionality and '[tex]y[/tex]' and '[tex]x[/tex]' are two proportional quantities, directly proportional to each other.
Thus, The unchanging value of the ratio between two proportional quantities is called the constant of proportionality.
Re-write the linear function in slope- intercept form -6x+ 9y=24
Please help will give 100 points
Answer:
y=2/3x+8/3
Step-by-step explanation:
Here ya go!!
What is the eighth term of the arithmetic sequence? An=
10n – 14?
Answer:
A8 = 66 [8th term]
Step-by-step explanation:
Given the explicit arithmetic sequence An = -14 + 10n → -4 + 10(n-1)
To find the 8th term. An nth term is where n is n in the sequence. So substitute 8 for n, and simplify.
So A8 = -4 + 10(8-1) → -4 + 10(7) → -4 + 70 → 70 - 4 → 66.
The eighth term of the arithmetic sequence is 66.
Given that,
An = 10n - 14.Here we need to find out the eighth term of the arithmetic sequence.Here n = 8.Based on the above information, the calculation is as follows:
An = 10n - 14
= 10(8) - 14
= 80 - 14
= 66
Therefore we can conclude that the eighth term of the arithmetic sequence is 66.
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