Answer:
16.5 gallons per minute.
Step-by-step explanation:
The given table is:
[tex]\begin{center}\begin{tabular}{ c c } Time(minutes) & Water(gallons) \\ 1 & 16.50 \\ 1.5 & 24.75 \\ 2 & 33 \\\end{tabular}\end{center}[/tex]
We are given this linear function in the form of table.
Let 't' be the time and W(t) be the function with which the gallons of water are changing with time.
We can use slope intercept form to find the equation.
[tex]y=mx+c[/tex]
Slope of a function:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
[tex]x_2 = 1.5\\x_1 = 1\\y_2 = 24.75\\y_1 = 16.50[/tex]
[tex]m=\dfrac{24.75-16.50}{1.5-1}\\\Rightarrow m =16.5[/tex]
This slope is the constant of proportionality.
i.e. the rate at which the number of gallons are changing per minute.
So, the answer is 16.5 gallons per minute.
Cost of Toy Cars A graph with cars on the x-axis and cost on the y-axis. A line goes through points (0, 0), (2, 3), (4, 6). What is the cost of 18 toy cars?
Answer:
27 :)
Step-by-step explanation:
$27 it D
Step-by-step explanation:
What is the value of r in the equation?
-1.5(4-1)=-12
-6
Answer:
-4
Step-by-step explanation:
-1.5 (4-r) = -12 Distribute the -1.5.
-6 - 1.5r = -12 Add 6 to both sides.
-1.5r = 6 Divide both sides by -1.5.
r = -4
Answer:
[tex] \boxed{\sf r = - 4} [/tex]
Step-by-step explanation:
[tex] \sf Solve \: for \: r: \\ \sf \implies - 1.5(4 - r) = - 12 \\ \\ \sf Divide \: both \: sides \: of \: - 1.5(4 - r) = - 12 \: by \: - 1.5 : \\ \sf \implies \frac{ - 1.5(4 - r)}{ - 1.5} = \frac{ - 12}{ - 1.5} \\ \\ \sf \frac{ \cancel{ - 1.5}}{ \cancel{ - 1.5}} = 1 : \\ \sf \implies 4 - r = \frac{ - 20}{ - 1.5} \\ \\ \sf \frac{ - 20}{ - 1.5} = 8 : \\ \sf \implies 4 - r = 8 \\ \\ \sf Subtract \: 4 \: from \: both \: sides: \\ \sf \implies (4 - \boxed{ \sf 4}) - r = 8 - \boxed{ \sf 4} \\ \\ \sf 4 - 4 = 0 : \\ \sf \implies - r = 8 - 4 \\ \\ \sf 8 - 4 = 4 : \\ \sf \implies - r = \boxed{ \sf 4} \\ \\ \sf Multiply \: both \: sides \: of - r = 4 \: by \: - 1: \\ \sf \implies - r \times ( - 1) = 4 \times ( - 1) \\ \\ \sf - r \times ( - 1) = r : \\ \sf \implies r = 4 \times ( - 1) \\ \\ \sf \implies r = - 4[/tex]
which is the least positive integer that should be multiplied with 2*2*5 so that we get perfect square..?
Answer:
Well, I think 5.
Because, 2×2×5 is Multiplied by 5 to complete pair
Which that given the number become perfect square.
So, The best choice is 5.
Good Luck!!~
What are the coefficients in the expression, 9 - 4 + 3b + 7a?
Answer:
The coefficients are b and a
The coefficients in the expression are 3 and 7.
What is an expression?An expression is a number, or a variable, or a combination of numbers and variables and operation symbols.
Now the given expression is,
9 - 4 + 3b + 7a
So, from the given expression we can see that there are 4 terms, 2 constants and 2 coefficients.
The coefficient of b is 3,
and coefficient of a is 7.
So, there are 2 coefficients in the given expression.
Thus, the coefficients in the expression are 3 and 7.
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20 points and brainliest!
Tree Diagrams
1. For what type of situation is a tree diagram a suitable way to organize information?
2. Explain how to read a tree diagram to determine the possible outcomes for that situation.
Answer: Use a tree diagram for conditional probability
The first branch lists the elements in the starting field-- how many items or outcomes. Like heads or tails, how many of each color of marbles or socks, etc. The next branch shows the set of outcomes from the first event and what is available for the next event. The branches are labeled with fractions to tell the chances of each outcome.
Step-by-step explanation:
A tree diagram is good for determining probability when there are multiple steps in the "draw" and multiple outcomes-- sometimes chances of event a and b "this and that" or event a or b "this or that"
You use the fractions on each branch to calculate the final outcome. If it's a and b, you multiply the fractions on each "trail" you follow through the branches to get the defined final outcome.
If it is a or b, you add the fractions to get the probability of the defined final outcome.
Please help!!!!!!!!!!!!Thanks
Answer:
The answer is option B.
Step-by-step explanation:
The prime number is 2
Since 1 + 1 = 2
And 1 is an odd number
Hope this helps you
Please help me if you can
answer
b3 is d long so 40 -d shape gives 36
3. Find the cost of 1 km of pipe at 7 cents for every 40 cm.
Answer:
$175.
Step-by-step explanation:
There are 100 centimeters in meter and 1000 metres in a kilometer so we have 100,000 cm in a kilometer.
So the required cost
= 0.07 * 100,000 / 40
= 7000 / 40
= $175.
Answer:
Hello! :) The answer will be under “Explanation”
Step-by-step explanation:
As my answer I got $175
1km would equal to 100,000 cm
1m would be 100cm
That means 1 km = 100 000 cm
Now you have to divide.
100,000 divided by 40 equals to 2,500($0.07)
=$175
If we do the math correctly we can now see that the answer should be $175
Hope this helps! :)
By:BrainlyMember ^-^
Good luck!
Find the circumference of the circle. Use
3.14 for T. Round to the nearest tenth.
16.4 miles
J
к
M
[? ]miles
Answer:
51.5 milesSolution,
Diameter(d)= 16.4 miles
Radius(r)= 16.4/2= 8.2
Circumference of the given circle= ?
Now,
Circumference of circle:
[tex]2\pi \: r[/tex]
= 2 * 3.14 * 8.2
= 51.496
= 51.5 miles
Hope this helps...
Good luck on your assignment..
Answer:
51.5 miles
Solution,
Diameter(d)= 16.4 miles
Radius(r)= 16.4/2= 8.2
Circumference of the given circle= ?
Now,
Circumference of circle:
= 2 * 3.14 * 8.2
= 51.496
= 51.5 miles
Paul has 15 T-shirts. The information shows the colours of his T-shirts. He takes one of his blue T-shirts at random. What is the probability that the T-shirt is light blue? 5 black 3 white 3 red 2 dark blue 1 light blue 1 yellow
Answer:
1/3
Step-by-step explanation:
In math, to find the probability of an event we need to take the total amount of favorable outcomes and divide this number between the total amount of possible outcomes.
In this case Paul has 15 T-shirts and he takes one of his blue T-shirts at random. We can see that he has a total of 3 blue shirts, thus, the total amount of possible outcomes is 3.
Now, we need to find the probability that the T-shirt is light blue, he only has 1 light blue t-shirt so the number of favorable outcomes is 1.
If we divide the number of favorable outcomes between the number of possible outcomes we have [tex]\frac{1}{3}[/tex]. Thus, the probability that the T-shirt is light blue is 1/3
Find the equation of the median shown:
Hey there! I'm happy to help!
The median is the line cutting the triangle in this graph. In general, a median connects any of the triangle points to halfway across the side opposite to that point. This median connects R to halfway across the side across from R.
We want to find the equation of this median. We see that T is at (-2,3) and R is (3,-3). The first thing to do when looking for the equation of the line is to find the slope, or incline. Since we have two points, we can do this very easily. You simply divide the difference in the y-values by the difference in the x-values.
DIFFERENCE IN Y-VALUES
3-(-3)
3+3
6
DIFFERENCE IN X-VALUES
-2-3
-5
Now, we divide the two answers, giving us -6/5.
So, we have our slope, which gives us the equation so far y=-6/5x+b. We just need to find the b, which is our y-intercept. Well, to do this, we plug in one of our points and we can solve for b. We will use (3,-3)!
-3=-6/5(3)+b
-3=-3 3/5+b
We add 3 3/5 to both sides to isolate the b.
b=3/5
This means that this median should hit the y-axis at (0,3/5), and it looks like it does. Therefore, the equation of this median is y=-6/5x+3/5.
Now you can find the slope of a median! Have a wonderful day! :D
Lisa is currently taking physics as one of her electives in school. Her grade at the end of the year is determined by the average of four exams, each worth 100 points. On her first test she got an 84, on her second she got a 92, and on her third an 80. What must she score on her fourth exam to get exactly 80% in the course?
Answer: 64
Step-by-step explanation:
From the question, we are informed that Lisa is currently taking physics as one of her electives in school and that her grade at the end of the year is determined by the average of four exams, each worth 100 points.
First test = 84,
Second test = 92
Third test = 80
Forth test = y
The fourth test is denoted by y.
Since we are told that she must get exactly 80% in the course and she took 4 exams, that means her total score will be: = 80 × 4 = 320
Therefore,
84 + 92 + 80 + y = 320
256 + y = 320
y = 320 - 256
y = 64
The fourth exam's score is 64
Darryl has a daily goal of earning $100 in profit. His profit is $0.72 per sandwich, and he sold 150 sandwiches today. Explain how Darryl can use the profit rate to determine how much profit he earned. Did Darryl meet his daily goal? PLEASE HELP ASAP
Answer:
Step-by-step explanation:
Hello,
His profit is $0.72 per sandwich
so for 150 sandwiches his profit is 0.72 * 150 = $ 108
He does meet his daily goal as 108 > 100
Hope this helps
PLEASE HELP!!
Suppose f(x)=x^2. What is the graph of g(x)=1/4 f(x)
Answer: C
Step-by-step explanation:
G(x)= 1/4 x²
A fraction causes the parabola to become wider
Function [tex]f(x) = x^{2}[/tex] represents the graph of parabola while [tex]g(x) = \frac{f(x)}{4}[/tex] represents the horizontally stretched form of f(x). Parabola become wider.
What is graph?" Graph is defined as the representation of the relation between two variable on the coordinate plane along x-axis and y-axis."
According to the question,
Given function
[tex]f(x) = x^{2}[/tex]
g(x) is defined as divide f(x) by 4.
[tex]g(x) = \frac{f(x)}{4}[/tex]
[tex]= \frac{x^{2} }{4}[/tex]
Graph becomes wider as shown in the graph drawn with comparison of f(x) and g(x),
Hence, Option(C) is the correct answer.
Learn more about graph here
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What is the rate of discount if a pair of shoes is regularly $145.00 and the sales price is $108.75?
Answer:
25%
Step-by-step explanation:
You set up the proportion 108.75/145 is x/100 to find out what percentage of 145 108.75 is. You can then use this proportion to find that percentage with cross multiplying, by doing this you get the equation 108.75 times 100 is equal to 145x. Then you simplify to get 10,875=145x. Then you solve like regular by dividing both sides by 145 to get x=75. Now we know that 108.75 is 75% of 145, but we aren't done yet. Now in order to find the discount price you subtract 75 from 100 to get 25, so you're finding the difference between 100 and the x-value we just found. The final answer is 25%
one day the town of waterville had an afternoon rainstorm that lasted 90 minutes. the rainstorm started at 4:15 pm. when did it end?
Answer:
Hey there!
90 mins= 1 hr 30 mins.
4:15+ 1 hr 30 mins= 5:45
The rainstorm ended at 5:45 PM
Hope this helps!
Dan Stocked up on batteries. He Brought 10 packages of AA and AAA batteries for a total of 72 batteries. The AA batteries are sold in packages of 6, and the AAA batteries are sold in packages of 8. Write a system of equations that can be solved to find how many packages of each type of battery Dan bought. Remember to define your variables.
Answer:
The system of equations that make the definition are;
x + y = 10 •••••••••(i)
6x + 8y = 72 ••••••••(ii)
Where x refer to the number of packages of AA battery bought and y refers to the number of packages of AAA batteries bought
Step-by-step explanation:
Here, we are to write system of equations that can be solved which will help give the number of packages of each type of battery bought.
Let the number of AA batteries bought be x while the number of AAA batteries bought be y;
Since he bought a total of 10 packages,
What this means is that;
x + y = 10 •••••••••(i)
We are also told that the AA batteries are sold in packages of 6, so the total number of AA batteries bought is; 6 * x = 6x
Also, we know that the AAA batteries are sold in packages of 8, so the total number of AAA batteries bought is 8 * y = 8y
We add both to give the total number of packages.
Mathematically, that would be;
6x + 8y = 72 •••••••••(ii)
By solving both equation set, we shall have the number of each types of batteries bought
Maisie has saved up $50 to buy concert tickets, but the tickets cost $125. She is able to earn $15 per day by walking her neighbor’s dogs. How many days will Maisie have to walk the dogs to earn enough money to buy the tickets? Let d = the number of days worked. What equation will you use to solve this word problem? What equivalent equation can you write after combining like terms? How many days will Maisie have to walk the dogs?
Answer:
15d + 50 = 125
15d = 75
5 days
Step-by-step explanation:
Her total must equal $125.
She has $50 so far.
50 + _____ = 125
In the blank, we will put what she will earn by walking the dogs.
Each day she will earn $15. In d number of days, she will earn 15d.
The equation is:
50 + 15d = 125
15d + 50 = 125
We can subtract 50 from both sides to get
15d = 75
Now we solve the equation to find the number of days.
We divide both sides by 15.
15d/15 = 75/15
d = 5
She will need to walk the dogs for 5 days.
B, A, C are the answers
Simplify: (sin θ − cos θ)^2 − (sin θ + cos θ)^2 A) −4sin(θ)cos(θ) B) 2 C) sin^2 θ D) cos^2 θ
Answer:
-4sinθcosθ
Step-by-step explanation:
Note:
1. (a + b)^2 = a^2 + 2ab + b^2
2. (a - b)^2 = a^2 - 2ab + b^2
3. sin^2θ + cos^2θ = 1
(sinθ -cosθ)^2 - (sinθ + cosθ)^2
= sin^2θ - 2sinθcosθ + cos^2θ - (sin^2θ + 2sinθcosθ + cos^2θ)
= sin^2θ + cos^2θ - 2sinθcosθ - (sin^2θ + cos^2θ + 2sinθcosθ)
= 1 - 2sinθcosθ - (1 + 2sinθcosθ)
= 1- 2sinθcosθ -1 - 2sinθcosθ
= - 2sinθcosθ - 2sinθcosθ
= -4sinθcosθ
Sam has some red and yellow cubes. She has 20 cubes in total. She has 8 more yellow cubes than red ones. How many red cubes does she have?
Answer:
12
Step-by-step explanation:
because if she has 8 more red cubes that yellow than that would mean it would become 12
Answer:
20-8=12
Step-by-step explanation:
let the red cubes be x,
total cubes=20
yellow cubes=x+8
according to question,
x+8=20
x=20-8
x=12
hence, sam has 12 cubes
Find the area of △ABC with side lengths b = 9 and c = 14, and included angle A = 145∘. Round your answer to the nearest tenth.
Answer:
12 as well 45 78 u want to go 89
Twice a certain number is 58. Four times that number will be A.4 X 58 B.58 + 4 C.58 X 2 D.8 X 58
Answer:
[tex]\boxed {8 \times 58}[/tex]
Answer D is correct
Step-by-step explanation:
Twice a certain number is 58
[tex]\red {2 \times 58}[/tex]
Four times that number will be
[tex]\green{ 2\times 58 \times 4 }\\ = 8 \times 58[/tex]
Answer:
The answer you are looking for is 8 time 58 or D
Step-by-step explanation:
Hope this helped
Use the drawing tools to form the correct answer on the grid. Graph a linear function with these key features: positive on (-8, ∞) negative on (-∞, -8) y-intercept of 4 I NEED AN ANSWER ASAP plz help
Answer:
see below
Step-by-step explanation:
The positive/negative information tells you the x-intercept is (-8, 0). The y-intercept information tells you the y-intercept is (0, 4). Those two points are sufficient to let you draw the graph with a drawing tool.
__
A "linear function" is a straight line. This one goes through the points listed above.
10. 80 machines can produce 4800 identical pens in 5 hours. At this rate
a) how many pens would one machine produce in one hour?
b) how many pens would 25 machines produce in 7 hours?
Answer:
12 and 2100
Step-by-step explanation:
(a)
Divide 4800 by 5 for pens per hour produced by 80 machines.
4800 ÷ 5 = 960 pens per hour
Divide 960 by 80 for pens per hour produced by 1 machine.
960 ÷ 80 = 12
Thus 1 machine produces 12 pens per hour
(b)
Multiply 12 by 7 for pens produce in 7 hours by 1 machine.
12 × 7 = 84 pens per hour
Multiply 84 by 25 for pens produced in 1 hour by 25 machines.
84 × 25 = 2100
Thus 2100 pens are produced by 25 machines in 1 hour
TEN POINTS !!!!1 simplify the expression 64^1/3
Answer:
4
Step-by-step explanation:
64^1/3
Rewrite 64 as 4^3
4^3 ^ 1/3
We know that a^b^c = a^(b*c)
4 ^(3*1/3)
4 ^1
4
Answer:
4
Step-by-step explanation:
4x4x4=64
64^1/3 = (4 x 4 x 4)^1/3 = 4
which statement is true regarding the graphed functions?
a- f(0) = 2 and g(-2) = 0
b- f(0) = 4 and g(-2) = 4
c- f(2) = 0 and g (-2) =0
d- f(-2) = 0 and g(-2) = 0
Answer:
Stepdkdkdndd-by-step explanation:
The mean height of a Clydesdale horse is 72 inches with a standard deviation of 1.2 inches. What is the probability that a Clydesdale is greater than 75 inches tall? Select one: 2.5 0.9938 62.5 0.0062
Answer: 0.0062
Step-by-step explanation:
We assume that the height of a Clydesdale horse is normally distributed.
Let x denotes the height of the Clydesdale horse
Given: Mean : [tex]\mu=72\ inches[/tex]
Standard deviation: [tex]\sigma=1.2\ inches[/tex]
Now, the probability that a Clydesdale is greater than 75 inches tall :
[tex]P(X>75)=P(\dfrac{X-\mu}{\sigma}>\dfrac{75-72}{1.2})\\\\=P(z>2.5)\ \ [z=\dfrac{X-\mu}{\sigma}]\\\\=1-P(z\leq2.5)\\\\=1- 0.9937903\ [\text{By z-table}]\\\\=0.0062097\approx0.0062[/tex]
Hence, the required probability is 0.0062.
The sum of the interior angles of a polygon is 9x³. If x is 3 greater than the number of sides of the polygon, how many sides does the polygon have?
Answer:
n = 7
Step-by-step explanation:
The sum of the interior angles of a polygon is 9[tex]x^2[/tex]. If x is 3 greater than the number of sides of the polygon, how many sides does the polygon have?
The sum of the interior angles of a concave polygon can be found using the formula S = (n - 2)*180.
n= number of sides of the polygon
n-2 * 180 = the sum of the interior angles
9[tex]x^2[/tex]= the sum of the interior angles
9[tex]x^2[/tex]= (n-2) *180
x= 3+ n
9 [tex](3+n)^{2}[/tex]=(n-2) *180
9 (9+6n+n^2) = (n-2) *180
81+54n+9n^2 = (n-2) *180
n = 7
Can someone write these decimals in order starting with the smallest please:) 0.6, 0.64, 0.06, 0.604, 0.0604
Answer:
[tex]\boxed{0.06 < 0.0604 < 0.6 < 0.604 < 0.64}[/tex]
Step-by-step explanation:
In ascending order: (starting from the smallest)
[tex]\boxed{0.06 < 0.0604 < 0.6 < 0.604 < 0.64}[/tex]
Answer:
.0604 < .604 < .06< .64 < .6
Step-by-step explanation:
.6= 6/10
.64=.64/100
.06=6/100
.604=604/1000
.0604=604/10000
The 10 students on the Deca Team were trying to decide in what order they should
sit on the bench during the session. In how many different ways can they arrange
themselves from left (next to the coach) to right at the end of the bench)?
Answer:
3628800
Step-by-step explanation:
10 students were trying to decide in how many ways they can arrange themselves from left to right.
There are 10 spaces and 10 students are to be sit.
Let us think of the first student.
10 empty spaces are there, so first student has 10 options.
Now, there are 9 empty spaces, so second student has 9 options.
Now, there are 8 empty spaces, so third student has 8 options.
Now, there are 7 empty spaces, so fourth student has 7 options.
:
:
Last student will have only 1 option.
So total number of ways [tex]= 10 \times 9 \times 8 \times 7 \times .....\times 1 = 3628800[/tex]
OR
Simply we can use the formula:
Number of ways to arrange n persons in a straight line = [tex]n![/tex] = [tex]10! = 3628800[/tex]