Answer:
a
Step-by-step explanation:
there are 4 quarts in a gallon.
4 times $0.79 =$3.16
anyone plss heeelp me...i only need answer 6c..
Answer:
6c1; [tex]Area = 81.12m^2[/tex]
6cii: See Explanation
Step-by-step explanation:
Given
[tex]A = 3p^2[/tex]
[tex]0 \leq p \leq 6[/tex]
Where A represents Area and P represents Width
Required
Solve 6c
Please note that because you only need 6c, I'll solve using calculations;
Solving 6ci:
Area of the cage, when width is 5.2m
Substitute 5.2m for p in[tex]A = 3p^2[/tex]
[tex]A = 3 * 5.2m^2[/tex]
[tex]A = 3 * 27.04m^2[/tex]
[tex]A = 81.12m^2[/tex]
Hence, the area of the cage is 81.12m²
Solving 6cii:
Area of the cage, when width is 40m
From the range of value of p: [tex]0 \leq p \leq 6[/tex], 40m is out of range of the values of p
However, if the range is extended; the value of Area is as follows;
Substitute 40m for p
[tex]A = 3 * 40m^2[/tex]
[tex]A = 3 * 1600m^2[/tex]
[tex]A = 4,800m^2[/tex]
Finn removes the plug from a trough to drain the water. The volume, in gallons, in the trough after it has been unplugged can be modeled by the expression 12x2 −13x + 3, where x is the time in minutes. Choose the appropriate form of the expression that would reveal the time in minutes when the trough is empty.
Answer:
Step-by-step explanation:
The expression used to model the volume, in gallons, is 12x^2-13x+3
When the through is empty it means that there is no water in it wich means that the expression used equals 0
● 12x^2-13x+3 = 0
The expression is quadratic equation so to solve it we will use the discriminant method
The discriminant is b^2-4ac
● b= -13
● a= 12
● c= 3
b^2-4ac = (-13)^2+4×12×3 = 25
25 > 0 so the discriminant is positive
We have two solutions
Let x and x' be the solutions
x = (-b-5)/2×a =(13-5)/24 = 8/24 = 1/3
5 is the root square of 25 (the discriminant)
x' = (-b+5)/2a = (13+5)/25 = 18/24 = 3/4
The solutions are 1/3 and 3/4
1/3 = 0.34
3÷4 = 0.75
The through can't be empty from water in two different times
So it will be empty when reaching one of the 2 solutions first
0.34 < 0.75
Then at 0.34 min the through is epty from water
Answer:
[tex]0 = 12x^2 - 13x + 3[/tex]
Step-by-step explanation:
The volume of the trough is modeled by the equation:
[tex]V = 12x^2 - 13x + 3[/tex]
The trough will be empty when the volume of water in it is 0. That is, the expression that would reveal when the trough is empty is:
[tex]0 = 12x^2 - 13x + 3[/tex]
We can further simplify it:
[tex]12x^2 - 9x - 4x + 3 = 0\\\\3x(4x - 3) - 1(4x - 3) = 0\\\\(3x - 1)(4x - 3) = 0[/tex]
The diameter of a circle is 3.5 inches. What is the circumference of the circle?
Answer:
About 11 (10.9955742876...)
Step-by-step explanation:
Circumference=(pi) (diameter) or C=πd
Hope this helps!
The circumference of the circle is about 11 inches.
We are given that the diameter of a circle is 3.5 inches.
Noted that the circumference of the circle that has a radius of r is defined as the product of diameter to the pie value.
Therefore circumference of the circle = 2πr
Circumference=(2πr)
The diameter or C = πd
diameter = 3.5 inches
Circumference=(3.5 x 3.14)
Circumference = (10.99) inches
Learn more about circumference here;
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Candy draws a square design with a side length of x inches for the window at the pet shop. She takes the design to the printer and asks for a sign that has an area of 16x2 – 40x + 25 square inches.
Answer:
[tex]\sqrt{16}[/tex] = 4
[tex]\sqrt{25}[/tex] = 5
16x^2 - 40x + 25
= (4x - 5)^2
Hope this helps!
Answer:
4x-5, B
Step-by-step explanation:
EDGE 2020
Please help quicklyyyy!
Cora is two years older than three times Eli's age. Their ages add up to 98. Find their ages
Answer: Eli’s age is 24 years and Cora’s age is 74 years
Step-by-step explanation:
To find Eli’s age and Cora’s age, use the following condition.
Eli’s age is represented by term ‘x’
Cora’s age is represented by term ‘3x + 2’
x + 3x + 2 = 98
Add x and 3x
4x + 2 = 98
Subtract 2 from both sides
4x = 96
Divide by 4 on both sides
x = 24
Therefore Eli’s age is 24 years
To find Cora’s age, plug in 24 for x
3(24) + 2 = 72 + 2 = 74
Answer:
Cora is 74 years old
Eli is 24 years old
Step-by-step explanation:
Cora’s age = x
Eli’s age = y
x = 3y + 2
x + y = 98
x = 98 - y
98 - y = 3y + 2
98 - 2 = 3y + y
96 = 4y
24 = y
x + 24 = 98
x = 98 - 24
x = 74
In a certain apartment building, apartments can come with 2, 3, or 4 bedrooms; they can have 1 or 2 bathrooms; and they can be located on the lower, middle, or upper level. How many different types of apartments are possible if any number of bedrooms, bathrooms, and locations can be combined?
Answer:
18 types of apartments
Step-by-step explanation:
There are three options for bedrooms (2, 3, or 4), two options for bathrooms (1 or 2), and three options for location (lower, middle, or upper level).
The number of possible different apartments is:
[tex]n=3*2*3\\n=18\ types[/tex]
18 types of apartments are possible.
[tex](5mn^3)^{3} [/tex]
Answer:
[tex]125m {}^{3}n {}^{6} [/tex]
Step-by-step explanation:
Since
[tex]a {}^{b} \times a {}^{c} = a {}^{b + c} [/tex]
[tex](5mn {}^{3} ) {}^{3} = (5) {}^{3}(m) {}^{3} (n {}^{3}) {}^{3} = 125m {}^{3}n {}^{3 + 3} = 125m {}^{3}n {}^{6} [/tex]
Hope this helps :) ❤❤❤
Answer:
[tex]125m^3n^9[/tex]
Step-by-step explanation:
[tex](a*b)^n=a^nb^n\\\\(5mn^3)^3=5^3m^3(n^3)^3\\\\125m^3(n^3)^3\\\\(a^b)^c=a^{bc}\\\\\rightarrow (n^3)^3=n^{3*3}=n^9\\\\\boxed{125m^3n^9}[/tex]
Brainilest Appreciated.
A line has slope 2/3 and y intercept -2. Which answer is the equation of the line?
Answer:
y=2/3x-2
Step-by-step explanation:
All of the given options are in slope intercept form.
Slope intercept form is y=mx+b
This is where m is the slope fo the line and b is the y intercept
That said, we can simply plug the given values into the form.
y=(2/3)x+(-2)
Simplify
y=2/3x-2
Answer:
A. y= 2/3x-2
Step-by-step explanation:
The slope of a line is written in slope-intercept form, which is:
y= mx+b
where m is the slope and b is the y-intercept.
The line has a slope of 2/3 and a y-intercept of -2. Therefore,
m= 2/3
b= -2
Substitute these values into the slope intercept form.
y= mx+b
y=2/3x+(-2)
Adding a negative number (+-) can be simplified to just a negative(-)
y= 2/3x-2
Therefore, the equation of the line is A. y= 2/3x-2
What is the exact solution to the system of equations shown on the graph? A.) (-1 3/5, 4 1/5) / [tex]\left(-1\:\frac{3}{5},4\:\frac{1}{5}\right)[/tex] B.) (-1 1/5, 4 3/5) / [tex]\left(-1\:\frac{1}{5},4\:\frac{3}{5}\right)[/tex] C.) (-1 5/6, 6 2/3) / [tex]\left(-1\:\frac{5}{6},6\:\frac{2}{3}\right)[/tex] D.) (-1 1/5, 4 5/6) / [tex]\left(-1\:\frac{1}{5},\:4\frac{5}{6}\right)[/tex]
The answer is B.) (-1 1/5, 4 3/5) / [tex]\left(-1\:\frac{1}{5},\:4\frac{3}{5}\right)[/tex]
The tire of a car has a radius of 10.5 inches. How far will the car travel for 200 revolutions? Use
22/7 as an approximation for it.
Answer:
The car will travel approximately 13200 inches
Step-by-step explanation:
Notice that in one revolution, the car travels exactly the length of the tire's circumference, that is: [tex]2\,\pi\,R[/tex]
Then, in 200 revolutions the car will travel 200 times that amount:
[tex]200\,(2\,\pi\,R)=400\ \pi\,R[/tex]
So for the given dimension of the tire, and using the approximation [tex](\pi\approx22/7)[/tex], this distance would be:
[tex]400\ \pi\,R=400\,\,\frac{22}{7} \,\,10.5\,\,in=13200\,\,in[/tex]
I need help with solving this problem 4x-c=k
Answer:
x=1/4c+1/4k
Step-by-step explanation:
4x-c=k
move c over
4x=c+k
then divide by 4
x=1/4c+1/4k
hope this helps
An airline company advertises that 100% of their flights are on time after checking 5 flights from yesterday and finding that these 5 were on time.
a) What is population of interest?
b) What is the sample?
c) Was this a representative sample? Explain.
d) How should the company determine the percentage of their flights that are on time?
Answer with explanation:
Given: An airline company advertises that 100% of their flights are on time after checking 5 flights from yesterday and finding that these 5 were on time.
a) population: A large group of observations have characteristics related to the point of the study.
Here, population: "All flights operated by the company"
b) Sample: It is a subset of the population.
Here, Sample: "5 flights from yesterday"
(c)
Since the number of flights per day operated by an airline company is much larger than 5 ( generally in hundreds).
i.e. the sample is too small to be able to assure that the results are true.
Hence, this is not a representative sample.
(d) To determine the percentage of their flights that are on time we use the following formula:
(Number of flights are on time) ÷ (Total flights) x 100
which of the following is not a correct way to represent the ratio 5 to 2 a)2/5 c)5:2 b)5/2 d) 10:4
Answer:
A
Step-by-step explanation:
Answer:
a)2/5
Step-by-step explanation:
5:2 is correct
5/2 is nothing but 5:2
10:4 is also correct because when we simplify it we get5:2
The table shows the probabilities of certain prizes in a restaurant's contest where the first 100 customers are winners. How does the $100 gift card affect the measure of center of the data? A) it increases the mean value of the prizes B) it decreases the mean value of the prizes C) it increases the median value of the prizes D) it decreases the median value of the prizes
Answer:
A) it increases the mean value of the prizes.
Step-by-step explanation:
The median is resistant to large outliers, so it does not change if there is an especially large or small value. So, we can eliminate choices C and D.
I am actually not sure whether the data in the table count $100 as a large prize or a small one, but I am assuming it is a large prize. So, an extremely large prize would increase the mean value of the prizes.
Hope this helps!
The $100 gift card affect the measure of center of the data by increases the mean value of the prizes.
Option A is the correct answer.
What is median?It is the middles value of the given set of numbers after arranging the given set of numbers in an order.
We have,
The $100 gift card has a much larger value compared to the other prizes, and it is only given to one person.
Therefore, adding the $100 gift card to the prizes will significantly increase the total value of the prizes, which will affect the measures of center of the data.
The mean and median are two common measures of center in statistics. The mean is the sum of all the values divided by the number of values, while the median is the middle value when the data is arranged in order.
Adding the $100 gift card will increase the mean value of the prizes, but it will not affect the median value, since the median only depends on the order of the data, not the values themselves.
Therefore,
It increases the mean value of the prizes.
Learn more about median here:
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A bag contains 5 red, 6 green, 7 yellow, and 8 blue jelly beans. A jelly bean is selected at random. What is the probability that it is blue?
Answer:
4/13 is the probability does a blue Jelly Bean is selected
Step-by-step explanation:
sample space = sum of all the jelly beans in the bag
sample space =5+6+7+8
sample space =26
probability = Jelly Bean selected / sample space
probability =8/26
probability =4/13
Find the solution of the system of equations shown on the graph.
Please and thank you :)
Answer:
Hey there!
The solution is where the lines intersect, and here we see that would be (-4,3)
Hope this helps :)
Randi earned a profit of $60.00 on her last snow shoveling and
salting job. Write an equation that can be solved to find how
many hours Randi spent shoveling and salting to earn a profit of
$60.00.
Write your answer in the form of an algebraic equation using the
math editor. You do not have to solve the equation, but you will
need to use your equation to complete the next test question.
Answer:
$60.00=Y× X
Step-by-step explanation:
You know she makes $60 but you need to figure out how many hours she works and how much an hour she makes working.
PLEASSE HELP
If a line crosses the y-axis at (0, 1) and has a slope of 4/5, what is the equation of the line?
A 4y - 5x=5
B.y - 4x = 5
C. 5y + 4x = 5
D. 5y - 4x = 5
Answer:
The answer is option D.Step-by-step explanation:
Equation of the line using point (0, 1) and slope 4/5 is
[tex]y - 1 = \frac{4}{5} (x - 0) \\ \\ 5y - 5 = 4x \\ \\ 5y - 4x = 5[/tex]
Hope this helps you
Answer:
D. [tex]\boxed{5y-4x=5}[/tex]
Step-by-step explanation:
Slope = m = 4/5
y - intercept = b = 1 (As from the point (0,1) , y-intercept is when x = 0)
So, the equation becomes
=> [tex]y = mx+b[/tex]
=> [tex]y = \frac{4}{5} x +1[/tex]
=> [tex]y - \frac{4}{5} x = 1[/tex]
Multiplying both sides by 5
=> [tex]5y-4x = 5[/tex]
(Affgfbwg I’m struggling) Find the value of x in the isosceles triangle shown below
Answer:
B
Step-by-step explanation:
The line from the vertex to the base is a perpendicular bisector and divides the isosceles triangle into 2 right triangles with hypotenuse x
Using Pythagoras' identity in either of the 2 right triangles, then
x² = 12² + 5² = 144 + 25 = 169 ( take the square root of both sides )
x = [tex]\sqrt{169}[/tex] = 13 → B
the product of two rational number is -10/9. If one of the number is -5/27 ,find the other.
Answer:
Step-by-step explanation:
Let the unknown number = x
[tex]x *\frac{-5}{27}=\frac{-10}{9}[/tex]
x = [tex]\frac{-10}{9}[/tex] ÷ [tex]\frac{-5}{27}[/tex]
[tex]x=\frac{-10}{9}*\frac{-27}{5}\\\\\\x=-2* - 3\\x = 6[/tex]
Drag each figure to show what fraction of the whole is shaded .
Answer:
1)3/4 (other) 2)2/3 3)2/3 4)1/3(other) 5)1/4
Step-by-step explanation:
the reason all the ones that say other are other is because they dont fit into the 3/4 section or 1/4. we can figure out the answers by counting up the total amount of squares/triangles and then the shaded ones, and then putting them over each other, shaded amount on top, and then simplifying. or, if you can tell by seeing that there are only 3 boxes and one shaded for example, you can simply tell its 1/3 because its already laid out for you. hope this helped
Please help I’m being timed!!! A country commits to decreasing spending for infrastructure in various ways at a rate of 30% per year. At the time of the announcement, the country is spending $12 billion per year. Which graph models the amount of infrastructure spending for future years?
Answer:
It would be the graph that has point (0,12) and is decreasing to the right.
which equation represents the slope-intercept form of the line below?
Answer:
c y= 1/2x-8
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
The slope is either 1/2 or 8. Because the line is not incredibly steep, it must be 1/2.
The y-intercept is where the line crosses the y axis. In this case, it's 8.
Therefore the equation must be y=1/2x+8.
The answer is B.
Explain please --
Find the measure of angle A to the nearest degree.
a. 26
b. 27
c. 63
Explanation:
We'll use the tangent ratio to connect the opposite and adjacent sides with the reference angle
tan(angle) = opposite/adjacent
tan(A) = 14/7
Then use the arctangent function (aka inverse tangent) to fully isolate A
A = arctan(14/7)
A = 63.4349 degrees approximately; make sure your calculator is in degree mode
Round this to the nearest whole number to get 63.
Rachel used 2/3 of a string to tie some books together. She used 1/3 of the remaining string for his art project. She had 30cm of the string left. What was the orignal length of string. Express your ans in meter.
Answer:
1.35 meters
Step-by-step explanation:
Let the original length of the string be x.
So, we started out with x centimeters. Rachel used 2/3 of it (the original amount) to tie some books together. Therefore, we now have:
[tex]x-\frac{2}{3}x[/tex]
centimeters of string left. This represents the original minus the amount she used.
Next, she used 1/3 of the remaining string. In other words:
[tex]x-\frac{2}{3}x-\frac{1}{3}(x-\frac{2}{3} x)[/tex]
The newly added terms is 1/3 of the remaining string length.
And she ends up with 30 centimeters. Therefore, we need to solve the equation for x:
[tex]x-\frac{2}{3}x-\frac{1}{3}(x-\frac{2}{3} x) =30\\\frac{1}{3}x-\frac{1}{3}x+\frac{2}{9}x=30\\\frac{2}{9}x=30\\ x=30\cdot \frac{9}{2}=135 \text{ centimeters}[/tex]
Therefore, the original length of the string was 135 centimeters or 1.35 meters (move the decimal two places to the left).
Answer:
135 cm or 1.35 m
Step-by-step explanation:
2/3(135) = 90
1/3(90) = 30
Which graph below shows the solutions for the linear inequality ys x-3?
А
B
с
D
O A. Graph
O B. Graph B
O C. Graph D
Answer:
Graph A.
Step-by-step explanation:
Given the inequality: [tex]y\leq \dfrac{1}{4}x-3[/tex]
Since the sign is "less than or equal to", the line cannot be dotted. Therefore, Options C and D are incorrect.
Since the sign is a "less than" sign, the required region must be below the line. Therefore, the graph which shows the given inequality is Graph A.
a system of linear equations is given by the tables. One of the tables is represented by the equation y= -1/3x + 7
the equation that represents the other equation y= x +
the solution of the system is ( , )
Answer:
Other equation: y = 1/3x + 5
Solution: (3, 6)
Step-by-step explanation:
Slope-Intercept Form: y = mx + b
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Step 1: Identify tables
1st table is the unknown equation
2nd table is the known equation (found using y-intercept 7)
Step 2: Find missing equation
m = (6 - 5)/(3 - 0)
m = 1/3
y = 1/3x + b
5 = 1/3(0) + b
5 = b
y = 1/3x + 5
Step 3: Find solution set using substitution
1/3x + 5 = -1/3x + 7
2/3x + 5 = 7
2/3x = 2
x = 3
y = 1/3(3) + 5
y = 1 + 5
y = 6
This is the last one but how do you find y ? what do I subtract 5 from ?
Answer:
y = 250
Step 1:
To solve, we plug in 50x for y.
[tex]50x=200+10x[/tex]
Then, we subtract the 10x from the right side. Our goal is to get the x by itself first.
[tex]40x=200[/tex]
Then, we divide both sides by 40, since we have to get the x by itself.
[tex]\frac{40x}{40}=x\\\\\frac{200}{40} =5[/tex]
x = 5
Step 2:
Now that we found x, we plug in 5 to the original equation and solve from there.
[tex]y=200+10(5)\\y=200+50\\y=250[/tex]
y = 250
What is the simplified form of the equation fraction 4 over 5 n minus fraction 1 over 5 equals fraction 2 over 5 n?
n = −2
n = 4
n = fraction 1 over 2
n = fraction 2 over 3
Answer:
n = 2
Step-by-step explanation:
Here, we want to write the simplified form of the equation given in the question.
Firstly, we write the equation in an equation form:
4/5n -1/5 = 2/5n
5n(4/5n -1/5) = 2/5n(5n)
(4/5n * 5n) -(1/5)(5n) = 2
4- n = 2
n =4-2
n = 2
Answer:
The answer that I got was n=2
Step-by-step explanation:
Jose's garden measures 33 feet by 39 feet. He wants to cover his garden with fertilizer to help the plants grow. How many square feet of fertilizer would he need for his garden? a.) 257.4 ft ^2 b.) 1287 ft ^2 c.) 144 ft ^2 d.) 72 ft ^2
Answer:
B
Step-by-step explanation:
To calculate the square feet of fertilizer he would be needing to cover his garden, what we need to do is simply find the area of the garden
Mathematically that would be the length of the garden multiplied by its width since it is a rectangular sharped garden
The area is thus;
33 * 39 = 1287 ft^2