The relationship between the number of gallons of water in a tank and number of hours is proportional. One point on the line modeling the relationship is (2,7200). Find the slope of the line, and draw a graph. Use the graph to find how long it will take to fill the tank if it holds 72,000 gallons.
The slope of the line is __
Answer:
Step-by-step explanation:
I am assuming the tank starts empty. It means that in 1 hour the tank has half that water, or 3600 gallons. And the good thing of lines passing through 0.0 is that the value at 1 IS the slope we need. ie 3600.
At this point it's easy to find that if in 2 hours it filled 1/10th of the tank, in 20 hours the tank will be full.
Graph done with paint, obviously not to scale.
Can someone please help me with this?
Hello,
Ali is right, Khamis is wrong. Why because Khamis forgot to put the negative sign in front of 5b, it should be wrote -5b in the second line and not 5b.
And then Khamis should have divided -5b by -5b.
Good Luck
Oliver is 6 more than twice as old as Sam. If Oliver is 21 how old is Sam?
Write an equation to represent the situation.
Answer:
7.5
Step-by-step explanation:
Lets give Oliver "O", and Sam "S".
O is 6 more than twice as old as Sam
O = 2S + 6
Since Oliver is 21, we can substitute it in
21 = 2S + 6
2S = 15
S = 7.5
14. At a local fruit stand, Luisa spends $5.25 for 2 pounds of strawberries. At this rate, how much can she expect to pay for 3.5 pounds of strawberries? (round to the nearest hundredt
h) Proportion Answer
can someone give me the answer and please explain this to me because i really don't understand what this means at all, I need someone to help me with this because i'm going to be asking multiple of these questions. So if u have friends or family who know this answer then please tell/ask them these questions so they can help understand fractions. Not asking in a mean way i am just really cuious because i never learned how to do this so just let your family / or friends know what these answers are to all of the questions that i am going to ask about fractions because these are really hard for me!
Step-by-step explanation:
the one is the middle top the one in the middle bottom and the one in the bottom right
Find the length of the third side. If necessary, write in simplest radical form.
Answer:
third side = 6
Step-by-step explanation:
Using Pythagoras' identity in the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.
let the third side be x , then
x² + 4² = (2[tex]\sqrt{13}[/tex] )²
x² + 16 = 52 ( subtract 16 from both sides )
x² = 36 ( take square root of both sides )
x = [tex]\sqrt{36}[/tex] = 6
5. Look at the shaded products. What pattern do you see?
Answer:
8+6+4
Step-by-step explanation:
factories x squared +5x / 6
Answer:
x(x+5)/6
Step-by-step explanation:
There are two bowls. One of them has 60gems and the other has 40gems. Some of them are red. All the gems from the two bowls are now put into a third bowl. What fraction of the gems in the third bowl will be red?.
Avery bought a washing machine originally priced at $864.72 but on sale for 30% off. After 4% sales tax, what was the total cost?
Answer: 629.51
Step-by-step explanation: 30% of 864.72 is 259.416
864.72 - 259.416 = 605.304 4% of 605.3 = 24.212 605.3 + 24.21 = 629.51
To show that triangle RPQ=triangle PSR by SSS, what must be the value of x?
1) -x2
-Х2
I need help with this problem
what is the vertex of the parabola -2=3(x+3)^2?
Answer:
P(-3 , -2)
Step-by-step explanation:
Convert 84 grams into milligrams.
Answer:
The answer is 84000 milligrams
Step-by-step explanation:
The formula is to multiply the mass value by 1000
Answer:
84000 mg
Step-by-step explanation:
1 gram = 1000 mg so 84 times 1000 is 84000
what is 846837947+858
Answer:
846,838,805
Step-by-step explanation:
Add 846837947+858
equation of the line that passes through the point (4,–5) and is perpendicular to the line y=1/3x+5
Answer:
y=1/3x+5 hope it helps you
Solve for a
a + 4/5 = 1 1/2
Enter your answer as a fraction in simplest form in the box.
Answer:
a=47/10
Step-by-step explanation:
How to find unique prime factorization of 10 factorial.
Aaron earned $57.35 selling some of his old video games. He bought another video game for $46.29. How much money, x, does Aaron have left?
Answer:
Aaron has $11.06 left over
wuts x im so confuseded 15 points uwu
−2/9x+2.7=4
Answer:
[tex]x=-5.85[/tex]
Step-by-step explanation:
[tex]-2/9x+2.7=4[/tex]
Subtract 2.7 on both sides
[tex]-2/9x=1.3[/tex]
Multiply by 9
[tex]-2x=11.7[/tex]
divide by -2
[tex]x=-5.85[/tex]
Evaluate 36 = (x + 9) when x
=
3.
o
A. 3
B. 12
C. 4.
D. 21
SUB
Answer:
3
Step-by-step explanation:
36 ÷ (x + 9)
=> 36 ÷ (3 + 9)
=> 36 ÷ 12
=> 3
Therefore, 3 is the answer.
Find the slope \mathrm{m}m of the line in the graph below. \mathrm{m} =m=
Answer:
[tex]m=4[/tex] or [tex]m=\frac{4}{1}[/tex]
Step-by-step explanation:
To find slope we use the slope formula
[tex]m=\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]
Two points on the line we can classify are (3,4) and (4,8)
For what values of x and y are the two triangles congruent by HL?
Answer:
y = 4 and x = 11
Step-by-step explanation:
x = y + 7 Substitute the first equation into the second equation and
solve for y
x + 1 = 3y
y + 7 + 1 = 3y
8 = 2y
4 = y x = y + 7
x = 4 + 7
x = 11
A grocery store buys cashews for
$8 per pound. The store wants to
markup the price by 20%. Which
expression below could be used to
find the new price of the cashews
Answer:
9.6
Step-by-step explanation:
20%of 8=8*20/100 =1.6 and the new price of the cashews is1. 6+8=9.6
The number of trees and the number of apples are given in the table above. Determine which statement below is correct.
1. The table is proportional and the unit rate is 1/13
2. The table is proportional and the unit rate is 13.
3. The table is not proportional.
Answer:
2.
Step-by-step explanation:
The number of trees times 13
The angle of elevation from the tip of the shadow to the top of the tree is 36°. Find the distance from the top of the tree to the tip of the shadow. Round the answer to the nearest tenth. A. 26. 7 feet b. 30. 2 feet c. 40. 8 feet d. 42. 9 feet.
The expression that represents the required distance is [tex]\mathbf{ s = \frac{h}{0.5878}}[/tex]
The given parameters are:
[tex]\mathbf{\theta =36^o}[/tex] --- the angle of elevation to the top of the tree
To do this, we make use of the following representations
s represents the distance from the tip of the shadow to the top of the treeh represents the height of the treeThe distance (s) is then calculated using the following sine ratio
[tex]\mathbf{ sin(\theta) = \frac{h}{s}}[/tex]
Make s the subject
[tex]\mathbf{ s = \frac{h}{sin(\theta)}}[/tex]
Substitute [tex]\mathbf{\theta =36^o}[/tex]
[tex]\mathbf{ s = \frac{h}{sin(36)}}[/tex]
Evaluate sin(36)
[tex]\mathbf{ s = \frac{h}{0.5878}}[/tex]
The height of the tree is not known.
Hence, the expression that represents the required distance is [tex]\mathbf{ s = \frac{h}{0.5878}}[/tex]
Read more about elevations and distance at:
https://brainly.com/question/14550522
The expression that represents the required distance is
The given parameters are:
--- the angle of elevation to the top of the tree
To do this, we make use of the following representations
s represents the distance from the tip of the shadow to the top of the tree
h represents the height of the tree
The distance (s) is then calculated using the following sine ratio
Make s the subject
Substitute
Evaluate sin(36)
The height of the tree is not known.
Hence, the expression that represents the required distance is
Read more about elevations and distances at:
brainly.com/question/14550522
#SPJ4
Please help me :)
HIGGJFFJH
Answer:
128/512 or 1/4
Step-by-step explanation:
(2 x 2 x 2 x 2) x (2 x 2 x 2)= 16 x 8 = 128
-------------------------------------------------
(2 x 2 x 2 x 2 x 2) x (2 x 2 x 2 x 2)= 32 x 16 = 512
help with this question please?!ASAP
Answer:
209.22 mm
Step-by-step explanation:
In the game of Scrabble, each player begins by drawing 7 tiles from a bag containing 100 tiles. There are 42 vowels, 56 consonants, and 2 blank tiles in the bag. Cait chooses her 7 tiles and is surprised to discover that all of them are vowels. Can we use a binomial distribution to approximate this probability?
Considering the hypergeometric variable, it is found that since the population size is less than 20 times the sample size, the binomial distribution cannot be used.
The tiles are chosen without replacement, hence, the hypergeometric distribution is used.
The population is composed by the 100 tiles.The sample is composed by 7 tiles.The hypergeometric distribution can be approximated to the binomial if the population size is at least 20 times the sample size.
[tex]\frac{100}{7} = 14.28 < 20[/tex]
Hence, the binomial distribution cannot be used.
A similar problem is given at https://brainly.com/question/25743676
942 flowers in157 vases= flowers per vase
Answer : 942/157 = 6