Since the slope of the soil line is a quarter of an inch per foot and the drainage line is 50 feet long, then the difference in elevation is:
[tex]50\text{feet}\times\frac{1}{4}\frac{in}{feet}.[/tex]Simplifying the above expression we get:
[tex]\frac{50}{4}in=12.5in\text{.}[/tex]Recall that:
[tex]1\text{ in=}\frac{1}{12}feet.[/tex]Therefore:
[tex]12.5in\approx1.04\text{feet.}[/tex]Answer: 12.5 inches= 1.04 feet.
Henry goes to the town fair.Use the prices on the photograph to complete the table.Enter the correct answer in the box.
ANSWER
$28
EXPLANATION
We have that the entry fee is $10 and for each ride, $6 must be paid.
We want to complete the table by finding the cost of 3 rides.
First, let us represent the cost of going to the fair and taking the ride.
Let the number of rides a person takes by x.
We have that the cost of taking x rides will be the entry fee plus the cost of each ride taken:
Cost = 10 + 6x
So, for taking 3 rides, it will cost:
Cost = 10 + 6(3)
Cost = 10 + 18
Cost = $28
That is the cost of taking 3 rides.
A jar contains only pennies, nickels, dimes, and quarters. There are 28 pennies, 26 dimes, and 23 quarters. The rest of the coins are nickels. There are 90 coins in all. How many of the coins are not nickels? If n represents the number of nickels in the jar, what equation could you use to find n?
If n represents of nickels in the jar, then the equation that can be used to find n is; n + 77 = 90
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Assume that n represent the number of nickels in the jar.
Given that the jar contains only , pennies, nickels, dimes, and quarters. There are 28 pennies, 26 dimes, and 23 quarters. The rest of the coins are nickels.
This means that the total number if pennies, dimes and quarters would be;
23 + 28 + 26 = 77
This means that the number of coins that are not nickel = is 77
The total number of coins in the jar is 90. Therefore, the equation that can be used to find n is;
n + 77 = 90
n = 90- 77
n = 13 nickels
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what is the x-intercept of the linear equation that is parallel to y=-3x-5 and passes through (2, 6)?
x-intercept of the linear equation that is parallel to y=-3x-5 and passes through (2, 6) is 4
What is the equation of the line?
The slope of the line and a point on the line can be used to create the equation of a line.
The slope of the line, which can be stated as a numeric integer, fraction, or the tangent of the angle it forms with the positive x-axis, is the line's inclination with respect to the positive x-axis. The coordinate system's point with the x coordinate and the y coordinate is referred to as the point.
Given equation of line is y = -3x - 5
Passing points (a,b) = (2,6)
As we know equation of the line is y = mx + c where m is the slope of the line and c is the y-intercept
On comparing the given equation of the line with y = mx + c , we have slope of the line is -3
Slope of two parallel lines is equal.
Equation of line having slope and passing point is given by y-b = m (x-a)
Therefore, equation of line having slope -3 and passing point (2,6) is y - 6 = -3(x - 2)
⇒ y - 6 = -3x + 6
⇒ y = -3x + 6 + 6
⇒ y = -3x + 12
Equation of line having slope and x-intercept is given by y = m(x - a) where m is the slope and a is the x- intercept
y = -3x + 12 can be written as y = -3(x-4)
On comparing this equation with y = m(x-a) we have x-intercept is 4
Therefore, x-intercept of the linear equation that is parallel to y=-3x-5 and passes through (2, 6) is 4
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Mia has set up a lemonade stand outside her house and sells small cups and large
cups of lemonade. Each small cup holds 12 ounces of lemonade and each large cup
hold 22 ounces of lemonade. Mia sold 80 cups of lemonade totaling 1460 ounces.
Determine the number of small cups sold and the number of large cups sold.
Answer:
small cups: 30large cups: 50Step-by-step explanation:
You want the number of small (12 oz) cups and large (22 oz) cups sold if 80 total cups and 1460 ounces were sold.
SetupWe can let x represent the number of large cups sold. Then 80-x is the number of small cups sold, and the total ounces of lemonade sold are ...
12(80 -x) +22x = 1460
SolutionSimplifying the equation gives ...
960 +10x = 1460
10x = 500
x = 50
Then the number of small cups sold is ...
80 -x = 80 -50 = 30
30 small cups and 50 large cups were sold.
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5÷1/12 write your answer in the simplest form.
Answer:60
Step-by-step explanation:
Answer:
60
Step-by-step explanation:
What is the value of x in: [tex] log_{2}(x) - 3 = 1[/tex]a) 2²b) 2³c) 2⁴d) 2¹
Add 3 to both sides:
[tex]\begin{gathered} \log _2(x)-3+3=1+3 \\ \log _2(x)=4 \\ 2^{\log _2(x)}=2^4 \\ x=2^4 \end{gathered}[/tex]Find the number for n that makes this equation
true:
205
n(8-3)+7(9 + 1) = 7(9 + 1) + 2(1 + 4)
a) 5 b) 70
c) 2
d) 20
What number is in
pls solve dis quiz iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii
Answer: the 3 equation I think
Step-by-step explanation: Find the value of X and y be sure to do on paper or message me for this one so I can give the answer to you without solving
A rectangular prism has a volume of 384 cubic inches. Find the height of the prism.h= ____ in
Rectangular prism volume: base length x base width x height
By looking at the image we can see that the height of the prism is 13cm.
To obtain the result in inches, divide by 2.54
13/2.54 = 5.12 inn inche
If you solve this fast I’ll name you brainliest So pls help me
Answer:
x = 23
y = 119
Step-by-step explanation:
Line m is parallel to line n and the angle given as 61 and the angle that is represented with 4x - 31 are alternate angles and have equal measurement.
We can write the following equation based on this information:
4x - 31 = 61 add 31 to both sides
4x = 92 divide both sides by 4
x = 23
now onto y,
the angle represented with y and the angle that is represented with 4x - 31 are supplementary and their measures add up to 180:
4x - 31 + y = 180 replace x with 23
4*23 - 31 + y = 180
92 - 31 + y = 180 subtract like terms
61 + y = 180 subtract 61 from both sides
y = 119
Using the remainder theorem, what is f (3)when f (x) = −2x^4 + 9x² + 2x + 10? O-92 O -65 O 43 O 73
Answer:
Look at this attachment and it may help you
Step-by-step explanation:
Answer:
-64
Step-by-step explanation:
took the test
what is 2.405 and 1.537 as a fraction to the simplest form
Answer:
2.405 = 481/200 or 2 81/200
1.537 = 1537/1000 or 1 537/1000
Step-by-step explanation:
Hope it helps:)
Answer:
2.405 = 481/200 or 2 81/200
1.537 = 1537/1000 or 1 537/1000
Step-by-step explanation:
help meeeeeeeeeeeeeee pleaseeeeeee
Answer: 10.8 seconds
Step-by-step explanation:
[tex]-16t^2 + 170t+40=10\\\\16t^2 -170t-30=0\\\\t=\frac{-(-170) \pm \sqrt{(-170)^2 -4(16)(-30)}}{2(16)}\\\\t \approx 10.8 \text{ } (t > 0)[/tex]
A rectangular pool is 9 meters wide and 11 meters long. If you swim diagonally from one corner to the other, how many meters will you swim? Approximate the answer to the nearest tenth.
Check the picture below.
[tex]\textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies c=\sqrt{a^2 + b^2} \qquad \begin{cases} c=hypotenuse\\ a=\stackrel{adjacent}{9}\\ b=\stackrel{opposite}{11}\\ \end{cases} \\\\\\ c=\sqrt{9^2 + 11^2}\implies c=\sqrt{202}\implies {\Large \begin{array}{llll} c\approx 14.2 \end{array}}[/tex]
in the figure below, $3$ of the $6$ disks are to be painted blue, $2$ are to be painted red, and $1$ is to be painted green. two paintings that can be obtained from one another by a rotation or a reflection of the entire figure are considered the same. how many different paintings are possible?'
two paintings that can be obtained from one another by a rotation or a reflection of the entire figure are considered the same. then 12 different paintings are possible
First we figure out the number of ways to put the $3$ blue disks.
Denote the spots to put the disks as $1-6$ from left to right, top to bottom.
The cases to put the blue disks are $(1,2,3),(1,2,4),(1,2,5),(1,2,6),(2,3,5),(1,4,6)$.
For each of those cases we can easily figure out the number of ways for each case, so the total amount is $2+2+3+3+1+1 = (D) 12$
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دیا
A new restaurant just opened up in your
neighborhood. One soda costs $2.75, and five
sodas cost $13.75. Is the cost a proportional or
non-proportional relationship?
proportional
not enough information
non-proportional
The cost for the soda is proportional.
How to calculate the value?For there to be a proportional relationship, there must be a constant.
In this case, one soda costs $2.75.
Also, five sodas cost $13.75. The cost per soda will be:
= $13.75 / 5
= $2.75
Since the values of $2.75 are the same, it has a proportional relationship.
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UBTRACT THE INTEGERS AN PE YOUR ANSWER IN THE BC -34 - 55
-34-55
Since both numbers are negative, we simply have to add the numbers and the result will be negative.
-89
12. Given that a line has slope = 5 and passes through the point (2,3), what's its equation
Given slope m=5 and the point as (2, 3)
[tex]\begin{gathered} y-y_1=m(x-x_{1)} \\ \text{Where x}_1=2 \\ y_1=3 \\ y-3=5(x-2) \\ y=5x-10+3 \\ y=5x-7 \end{gathered}[/tex]The equation of the line is y = 5x - 7
QUESTION 1Given a n x m matrix A and m X p matrix B, if AB = 0 then A = 0 or B = 0.TrueFalseQUESTION 2Given an xm matrix A,an n x n identity matrix I, exists such that I, A = Al, = A.TrueFalse
Given:
[tex]A_{n\times m},B_{m\times p}[/tex]If AB = 0,
Then it is not necessary that A=0 or B=0
To prove this, we consider an example:
Let n=m = p =2
Then AB is given as:
Clearly AB= 0 but A,B not equals to zero.
Hence, the given statement is not true.
Hence, the answer is false.
What is the Associative Property of Addition?The Associative Property of Addition states that when multiplying a number times the sum of two other numbers, that number can be multiplied by each of the numbers in the sum first and then added together.The Associative Property of Addition states that when adding three or more numbers, the order in which they are added is important.The Associative Property of Addition states that when adding numbers, the order can be reversed.The Associative Property of Addition states that when adding three or more numbers, they can be grouped in any way and the result will remain the same.
The associative property of addition states that when adding numbers, the order can be reversed.
The associative property of addition says that changing the grouping of the addends does not change the sum.
For example -
[tex](3+5)+4=3+(5+4)[/tex]Therefore, the given option (c) is correct.
Help with problem and pick if it is odd or even
Since
[tex]f(x)=-x^4+x^3+2x+x+1[/tex]even degree function, it will have an even number of real zeros, and, since it has a degree of 4, there will be 4, 2 or 0 real zeroes
In this coordinate plane, the slope of line a is equal to the opposite reciprocal of the slope of line b.
Blank 1: [tex]\frac{k}{m}[/tex]
Blank 2: [tex]-\frac{k}{n}[/tex]
Blank 3: [tex]\frac{k}{m}=\frac{n}{k}[/tex]
Blank 4: [tex]\frac{KL}{KM}=\frac{KN}{KL}[/tex]
Blank 5: SAS similarity theorem
Blank 6-9: The options are needed
Can anyone tell me the answer to this problem in my picture if so ill give a high reward
Answer:
10x1/2
Step-by-step explanation:
Answer:
Step-by-step explanation:[tex]10*4\7= \frac{40}{7} \\=5.714285714 \\\\ 10*\frac{10}{2}\\ \frac{10}{2}\\ =5 \\\\10*4\frac{2}{3} = 10*\frac{14}{3}\\\\ \frac{140}{3} = 46.66666667\\\\10*\frac{3}{4}=\\\\ \frac{30}{4} = 7.5\\\\10*\frac{9}{8}=\\\\\frac{90}{8} = 11.25\\ \\\\10X\frac{4}{7} , 10X\frac{3}{4} is the answer[/tex]
please help
my homework is due tom
I finished the rest
a) The coordinates of the point B is (6, 6) and the coordinates of the point D is (4,0).
b) The completed rectangle ABCD is shown in the following graph. And the point of C (8,4) is also marked on it.
Coordinates:
Coordinates refers a pair of numbers that describe the position of a point on a coordinate plane by using the horizontal and vertical distances from the two reference axes.
Given,
Here we have the graph attached to the given question with the coordinates A, B and D.
Now, we have to find the following:
a) Coordinates of B and D
b) Draw a complete rectangle on the graph and mark the coordinates C on it.
a) While we looking at the graph, we have identified that,
The point of B is derived by when the point 6 in x axis and y in y axis intersect. Therefore, the coordinate of B is (6,6).
Similar way, the coordinate of D is obtained as (4,0).
b) First, we have to identify the point of C, that can be obtained, we know that the shape of ABCD is rectangle, based on this the coordinate lies at the point of (8,4).
Therefore, the completed graph is attached below.
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report a stolen credit card to EFTA or PCI standards?
The correct matching of EFTA and PCI standards are:
A) EFTA
Report a debit card as stolen.Put a stop payment on automatic withdrawals.(B) PCI
Protect credit card information.Uphold a secure network.What is Electronic Fund Transfer Act (EFTA)?The purpose of the Electronic Fund Transfer Act (EFTA), a law passed by Congress, is to safeguard consumer financial transactions made using electronic tools like debit cards and automated teller machines (ATMs).The purpose of the Payment Card Industry Data Security Standard (PCI DSS) is to guarantee that financial institutions, such as banks, have a robust and secure network architecture to safeguard clients' personal information.So, match the following as follows:
(A) EFTA
Report a debit card as stolen.Put a stop payment on automatic withdrawals.(B) PCI
Protect credit card information.Uphold a secure network.Therefore, the correct matching of EFTA and PCI standards are:
A) EFTA
Report a debit card as stolen.Put a stop payment on automatic withdrawals.(B) PCI
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Complete question:
Match the correct EFTA and PCI Standards.
report a stolen debit card
protect credit card data
place a stop payment on
recurring payments
maintain a secure network
3x + ( 8 )=4x ( 4 )
X=
Answer:
X = 8/13
Step-by-step explanation:
3x + 8 =4x 4
3x + 8 = 16x
3x + 8 - 8 = 16x - 8
3x - 16x - 8
X = 8/13
Week 10 Quiz Version A The Zero Product Property is used to find the zeros (or ti the graph will cross the O X-axis © y-axis O z-axis o origin
The roots of a equation are the points where the graph intersects the x-axis. The answer is the first option.
Which is a solution to the equation? (x −2)(x + 5) = 18 Group of answer choices x = −4 x = −2 x = −7 x = −10
Answer:
-7
Step-by-step explanation:
-7-2= -9
-7+5= -2
-9×-2=18
Answer: n = - 13/4
Step-by-step explanation: got it correct :)
Choose the line perpendicular to the following equation through the given point
Answer:
y=-1/2x+1
Step-by-step explanation:
perpendicular is when the gradient of the existing equation is reciprocated (swapped sides and flipped)
new gradient- -1/2
so our new equation is y=-1/2x+c
we have the co-ordinates for x and y so substitute into new equation
1=(-1/2 x 0) + c
so c=1
Hence our equation is : y=-1/2x+1
The sculptures at Mount Rushmore each measure about 60 feet from chin to forehead. For the average person, this distance is 9 inches. The average distance between a person’s ears is 6 inches. What is the ratio of a person’s chin to forehead distance compared to the distance between his ears?
The distance from the chin to the forehead is 1.5 times the distance between the ears.
The average person's chin-to-forehead distance is 9 inches, and the distance between human ears is 6 inches. You are asked to compare the distance from a person's chin to their forehead to the distance between their ears.
Calculation:-
We can express the given information as:9/6
9/6 = 1.5.
Average speed is calculated by dividing the total distance something has traveled by the total time it took to travel that distance. Velocity is how fast something is going at a given moment.
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