Answers
For Roberts the equation is:
[tex]5y-x=-25[/tex]to we can write it as slope intercept so:
[tex]\begin{gathered} 5y=x-25 \\ y=\frac{1}{5}x-5 \end{gathered}[/tex]Now we replace x = 5 so
[tex]\begin{gathered} y=\frac{5}{5}-5 \\ y=1-5 \\ y=-4 \end{gathered}[/tex]So the two points are ( 0 , -5) and ( 5 , -4)
Fo Hookthe equation is:
[tex]2x-5y=0[/tex]In slope intercept is:
[tex]\begin{gathered} 5y=2x \\ y=\frac{2}{5}x \end{gathered}[/tex]so we replace x = 5 so:
[tex]y=2[/tex]So the two points are: ( 0 , 0) and ( 5 , 2 )
For Elizabeth the equation is:
[tex]y-6=\frac{1}{2}(x-2)[/tex]and slope intercept:
[tex]\begin{gathered} y=\frac{1}{2}x-1+6 \\ y=\frac{1}{2}x+5 \end{gathered}[/tex]now we replace x = 2 so:
[tex]\begin{gathered} y=1+5 \\ y=6 \end{gathered}[/tex]So the coordinates are ( 0 , 5) and ( 2, 6 )
And for Silver the equation is:
[tex]4x-y+6=9[/tex]In slope intercept is:
[tex]\begin{gathered} y=4x+6-9 \\ y=4x-3 \end{gathered}[/tex]now we replace x = 1 so:
[tex]\begin{gathered} y=4-3 \\ y=1 \end{gathered}[/tex]So the coordinates are: ( 0, -3) and ( 1, 1 )
So now you can made the graph of the lines and find the message.
Related Questions
What is the image of (-8,6) after a reflection over the line y=-x
Answers
The image of (-8,6) after a reflection over the line y = -x is (-6, 8).
What is reflection transformation?In geometry, a reflection is referred to as a flip. A reflection is the shape's mirror image. A line, called the line of reflection, is where an image will reflect. Changes in position during reflection may also result in translation. The coordinate system may be referred to by the reflection transformation(X and Y-axis).Given:
The image of (-8,6) after a reflection over the line y = -x.
The x-coordinate and y-coordinate of a point change positions and are negated when it is reflected across the line y = -x.
So, the reflection of the point (-8, 6) across the line y = -x is (-6, 8).
To know more about reflection of a point over a line visit:
https://brainly.com/question/12676179
#SPJ9
During the experiment, the volume dropped to milliliters. Find the percent of decrease.
Answers
The percentage of decrease for the chemistry experiment is 25%.
How to calculate the percentage?The. percentage is defined as the number representing any number with respect to 100.
In this case, at the begining, the experiment was 4 millimeters and the end had an experiment of 3 millimeters.
The decrease in the percentage will be:
= Change in value /Original value × 100
= (4 - 3)/4 × 100
= 1/4 × 100
= 25%
The percentage is 25%.
Learn more about experiments on:
brainly.com/question/17274244
#SPJ1
The coordinate pairs of a function are given.
{(-2, 0), (0, 1), (4, 3), (6, -3)}
What is the domain of the function?
Answers
D = {-2, 0, 4, 6}
the value of y varies directly with x. if x = 4, then y = -6. what is the constant of variation
Answers
Mai biked 6\frac{3}{4} miles today, and Noah biked 4\frac{1}{2} miles.
How many times the length of Noah’s bike ride was Mai’s bike ride?
Answers
It was 1.5 times the length of Noah's bike ride as Mai’s bike ride.
The problem we dealing with is related to mixed numbers which are referred to as mixed numbers and could be the whole number, and a proper division spoke together. It for the most part speaks to a number between any two whole numbers.
Since we are providing mai's rate which is 6 3/4 miles and Noah's rate of 4 1/2 miles, So in order to find the time the length of Noah's ride is compared to Mal's, we just need to divide the given rates by each other
=> 6 3/4 divided by 4 1/2,
=> 27/4 divided by 9/2, (The result is an improper fractions)
=> 27/4 X 2/9
=>3/2
=> 1.5
To know more about mixed numbers refer to the link https://brainly.com/question/24137171?referrer=searchResults.
#SPJ1
I need to work out these answers. If u can provide working that would be helpful
Answers
===================================================
Explanation:
The car is initially worth 44000 pounds.
It loses 25% of its value after the first year, but keeps the remaining 75% of it.
75% of 44000 = 0.75*44000 = 33000
The car is worth 33000 pounds at the end of year 1. This is effectively the "starting" value when we change the rate of depreciation.
------------------
The new percentage of the depreciation rate is x%
The car loses x% of its value each year
But it keeps the remaining (100-x)% of the value from year to year. Refer to the previous section.
x% = x/100
(100-x)% = (100-x)/100 = 100/100 - x/100 = 1 - 0.01x
The 1 - 0.01x is the value of b in the exponential equation y = a*b^t
The value of 'a' is the "starting" value of 33000 pounds.
The t represents the number of years after that first year (so that means we have t+1 years total).
The equation we have is
y = a*b^t
y = 33000(1 - 0.01x)^t
The teacher mentions "after 3 years" which means we'll have t+1 = 3 solve to t = 2 which is what we'll plug in along with y = 25555
Let's solve for x.
y = 33000(1 - 0.01x)^t
25555 = 33000(1 - 0.01x)^2
25555/33000 = (1 - 0.01x)^2
0.77439393939393 = (1 - 0.01x)^2
(1 - 0.01x)^2 = 0.77439393939393
1 - 0.01x = sqrt(0.77439393939393)
1 - 0.01x = 0.87999655646709
-0.01x = 0.87999655646709-1
-0.01x = -0.1200034435329
x = -0.1200034435329/(-0.01)
x = 12.00034435329
Due to rounding error, it appears that it should be x = 12 since your teacher mentions x is an integer.
Also, 12.00034435329 is pretty close to 12.
If it decays at 12% per year, then the car keeps the remaining 88% since 100-12 = 88
Therefore 0.88 is the base of the exponential, it's the value of b.
Computing 33000(0.88)^2 gets us 25,555.2 which isn't too far from the goal of 25,555 pounds.
------------------
We found the exponential decay equation to be
y = 33000(0.88)^t
where t is the number of years after that first year. We have t+1 years total.
Your teacher asks how much the car will be worth after 4 years, so we'll plug in t = 3 because it's the solution to t+1 = 4.
In other words, we're working 3 years after that first year is up, so 3+1 = 4 total years.
Plug in t = 3 to find the following
y = 33000(0.88)^t
y = 33000(0.88)^3
y = 22,488.576
Rounding to the nearest pence gets us 22,489.58 which is the value of the car after 4 years. You can verify this with a spreadsheet table as I have shown in the diagram below. The highlighted rows mention values on your screenshot.
I'll round to the nearest pound since the other car values mentioned were whole numbers rather than decimal ones.
The 22489.58 rounds to 22490
------------------
For the final part, we'll need logarithms to solve the equation. Logarithms are useful to isolate the exponent.
We'll plug in y = 14520 and solve for t
y = 33000(0.88)^t
14520 = 33000(0.88)^t
14520/33000 = (0.88)^t
0.44 = (0.88)^t
Log[ 0.88^t ] = Log[ 0.44 ]
t*Log[ 0.88 ] = Log[ 0.44 ]
t = Log[ 0.44 ]/Log[ 0.88 ]
t = 6.42227097958021
This rounds up to t = 7
Round up instead of down because we want to clear the hurdle of passing the 14520 marker.
Recall once again that t is the number of years after the first year.
So t = 7 represents t+1 = 7+1 = 8 years in total that have passed by. Therefore, after 8 years is when the car's value is below 14520 pounds. Refer to the table diagram below.
a cell phone battery is rated at 3.85 v and can store 10.78 watt-hours of energy. (a) how much average current can it deliver over a period of 3 hours if it is fully discharged at the end of that time? (b) how much average power is delivered in part (a)? (c) what is the ampere-hour rating of the battery?
Answers
The 10.78 watt–hour battery with a voltage rating of 3.85 V gives;
(a) The average current delivered in 3 hours is approximately 0.93 A
(b) The average power delivered at 0.93–A is approximately 3.593 watts
(c) The ampere hour rating of the battery is 2.8 Ah
What is the relationship between power and energy?Power is the rate at which energy is given out or expended.
The rating of the phone battery = 3.85–VThe power stored in the battery = 10.78 watt–hoursRequired;
(a) The amount of average current that can be delivered in 3 hours
Solution;
The power in the battery is given by the equation;
P = I²•R = I•V
10.78 watt–hour = 10.78 J/s × 60 × 60 s = 38,808 J
In 3 hours, the energy per second, which is the power is given by the equation;
P = 38,808 J/(3×60×60 s) ≈ 3.593 watts
I = P/V
Therefore;
I = 3.593 watts/(3.85 V) ≈ 0.93 A
The average current it can discharge in 3 hours is approximately 0.93 A(b) The average power delivered is given by the equation;
P = Energy/Time
Therefore;
P = 38,808 J/(3×60×60 s) ≈ 3.593 watts(c) An equation that can be used to find the ampere hour, Ah is as follows;
Ah = Watt hour ÷ Voltage
The ampere hour rating of the battery is therefore;
Ah = 10.78 watt–hour ÷ 3.85 V = 2.8 AhLearn more about electric power and energy here:
https://brainly.com/question/15296808
#SPJ1
Luke runs the trail in the park near his home 5 days a week. How many miles does he run in a week if the trail is 3 1/3 miles?
Answers
Explanation: 5 x 3 1/3 = 16 2/3
Hi, can somebody help me.
In two or more complete sentences, describe the transformation(s) that take place on the parent function to achieve the graph of g(x)=log(-3x-9)+1.
Answers
Answer:
Logarithmic functions are the inverses of exponential functions. The logarithmic function y=log(x) is called the logarithmic function with base a .
When a constant c is added to the input of the parent function f(x)=loga(x), the result is a horizontal shift c units in the opposite direction of the sign on c. Our function is shifted 3 units to the right.
It is shifted 2 units vertical.(2 units down).
or
First, multiply the x by -3 and shift it 9 units to the right. Then, shift the function 1 unit down.
hope this was helpful
Find the measure of each arc. For each arc, write two or more complete sentences explaining which theorem or postulate you used to find your answer. Include your equations and calculations in your final answer.
m arcQS
Answers
Answer:
m arcRP = 125°
m arcQS = 125°
m arcSP = 55°
m arcQR = 55°
Step-by-step explanation:
An arc is the curve between two points on the circumference of a circle.
An arc measure equals its corresponding central angle measure.
Vertical Angles Theorem: When two straight lines intersect, the opposite vertical angles are congruent.
Angles on a Straight Line Theorem: The sum of angles formed on a straight line is equal to 180°.
Arc RPAs m∠ROP = 125°
Therefore, m arcRP = 125°
Given the measure of angle ROP is 125°, and an arc measure equals its corresponding central angle measure, the measure of arc RP is 125°.
Arc QSUsing the Vertical Angles Theorem:
⇒ m∠QOS = 125°
Therefore, m arcQS = 125°
Using the Vertical Angles Theorem, the measure of angle QOS is equal to the measure of angle ROP, so the measure of angle QOS is 125°. As an arc measure equals its corresponding central angle measure, the measure of arc QS is 125°.
Arc SPUsing the Angles on a Straight Line Theorem:
⇒ m∠SOP = 180° - 125° = 55°
Therefore, m arcSP = 55°
Using the Angles on a Straight Line Theorem, the measure of angle SOP is 55°. As an arc measure equals its corresponding central angle measure, the measure of arc SP is 55°.
Arc QRUsing the Angles on a Straight Line Theorem:
⇒ m∠QOR = 180° - 125° = 55°
Therefore, m arcQR = 55°
Using the Angles on a Straight Line Theorem, the measure of angle QOR is 55°. As an arc measure equals its corresponding central angle measure, the measure of arc QR is 55°.
1/8y= -3/4x-1 in standard form
Answers
2üssü15 artı 2 üssü 14
Answers
Answer:
What is this, give context and I'll help you.
Step-by-step explanation:
Need more context.
match the metric measurements below
a. 2.4 meters
b. 0.4 kilometers
c. 0.04 hectometers
d. 240 decimeters
_ 40 dekameters
_ 0.24 hectometers
_400 centimeters
_ 2400 millimeters
Answers
Metric measurement are given below:
What is metric measurement?The meter, liter, and gram are the corresponding base units for length (distance), capacity (volume), and weight (mass) in the metric system. To measure smaller or larger amounts, we use units that are derived from metric units.
The three most used base units in the metric system are the meter, gram, and liter. The liter is a unit of volume equal to 1.05 quarts, the meter is a unit of length equal to 3.28 feet, and the gram is a unit of mass about equivalent to 0.0022 pounds (or roughly the mass of a paper clip).
Given Data
a) 2.4 meters
b. 0.4 kilometers
c. 0.04 hectometers
d. 240 decimeters
_ 40 dekameters
_ 0.24 hectometers
_400 centimeters
_ 2400 millimeters
a) 2.4 meters = 2400 millimeters
b) 0.4 kilometers = 400 centimeters
c) 0.04 hectometers = 40 dekameters
d) 240 decimeters = 0.24 hectometers
To learn more about metric, visit:
https://brainly.com/question/24248807
#SPJ13
water flows at a constant rate. Kian measures 8 cups in 6 seconds. whats the constant of proportionality of cups of water to minutes
Answers
The constant of proportionality in cups of water to minute is 80 cups/min
What is the constant of proportionality in cups per minute?Here we have the proportional relation:
y = k*x
Where y is the number of cups and x the time in seconds, then:
y/x = k
Replacing the values we know:
y = 8 cups.
x = 6 seconds.
We can get the value of k, the constant of proportionality, but first, let's write the time in minutes.
x = 6 seconds
remember that 1 min = 60 sec, then:
6 sec = (6/60) min = 0.1 min
So the constant of proportionality is:
k = 8cups/0.1 min = 80 cups/min
Learn more about proportional relations:
https://brainly.com/question/12242745
#SPJ1
m∠PQS=(3x−3)° and m∠RQS=(x+19)°. Find the value of x.
Answers
Since both angles are the same, x has a value of 11
What are angles?Angles are formed when two or more lines intersect. This in other words means that angles is the measure of space between the intersection of rays or lines
How to determine the value of x?The given parameters are
m∠PQS=(3x−3)° and m∠RQS=(x+19)°.
From the question, the measures of both angles are the same
This means that
m∠PQS=(3x−3)° = m∠RQS=(x+19)°.
So, we have the following equation
3x − 3 = x + 19
Collect the like terms in the equation
So, we have the following equation
3x - x = 3 + 19
Evaluate the like terms in the equation
So, we have the following equation
2x = 22
Divide both sides by 2
So, we have the following equation
x = 11
Hence, the value of x in the angles is 11
Read more about angles at
https://brainly.com/question/7620723
#SPJ1
Possible question
m∠PQS and m∠RQS are congruent angles
m∠PQS=(3x−3)° and m∠RQS=(x+19)°. Find the value of x.
Janice is offered medical and dental insurance through her company. Medical insurance costs $6,740 annually and dental costs $630
annually. Jessica's company pays 70% of medical insurance and 85% of dental insurance. How much does Jessica pay each biweekly pay
period for medical and dental insurance?
Answers
Medical insurance Jessica pays biweekly is $196.58 or 197 dollars.
Dental insurance Jessica pays biweekly is $22.3125 or 22 dollars.
How to find the biweekly pay?
Janice:
Medical insurance costs $6,740 annually
Dental costs $630
Solution:
Jessica:
70% of medical insurance = 70/100*6,740
= 674 * 7
= $4,718/annum.
85% of dental insurance = 85/100 * 630
= 63 * 8.5
= $535.5/annum
Medical insurance Jessica pays per month = 4,718/12 = $393.16
Medical insurance Jessica pays biweekly = 393.16/2 = $196.58 or $197
Dental insurance Jessica pays per month = 535.5/12= $44.625
Dental insurance Jessica pays biweekly = 44.625/2 = $22.3125 or $22.
To learn more about insurance pay sums, refer
https://brainly.com/question/16554548
#SPJ4
What are the rules of PERFECT SQUARE TRINOMIAL
Answers
The rules of Perfect Square Trinomial are, an expression obtained from the square of the binomial equation is a perfect square trinomial. If a trinomial is in the form [tex]ax^{2} +bx+c[/tex] is said to be a perfect square, if and only if it satisfies the condition [tex]b^{2} = 4ac[/tex].
What is Perfect Square Trinomial :Perfect square trinomials are algebraic expressions with three terms that are obtained by multiplying a binomial with the same binomial. A perfect square is a number that is obtained by multiplying a number by itself. Binomials are algebraic expressions consisting of just two terms that are either separated by a positive (+) or a negative (-) sign. Similarly, trinomials are algebraic expressions consisting of three terms. When a binomial consisting of a variable and a constant is multiplied by itself, it results in a perfect square trinomial having three terms. The terms of a perfect square trinomial are separated by either a positive or a negative sign.
A perfect square trinomial is defined as an algebraic expression that is obtained by squaring a binomial expression. It is of the form [tex]ax^{2} +bx+c[/tex]. Here a, b, and c are real numbers and a ≠ 0. For example, let us take a binomial (x+4) and multiply it to (x+4). The result obtained is [tex]x^{2} +8x+16[/tex]. A perfect square trinomial can be decomposed into two binomials and the binomials when multiplied with each other gives the perfect square trinomial.
Therefore,
An expression obtained from the square of the binomial equation is a perfect square trinomial. If a trinomial is in the form [tex]ax^{2} +bx+c[/tex] is said to be a perfect square, if and only if it satisfies the condition [tex]b^{2} = 4ac[/tex].
To learn more about information visit Perfect Square Trinomial :
brainly.com/question/16615974
#SPJ1
Let the function P be defined by p(x)=6n^2-4n-16 where (n-2) is a factor. To rewrite the function as a product of two factors, long devision was used.
Answers
The relation of the function as a product are found for the long division as: (n-2)×(6n - 16) + 0 = 6n² - 4n - 16
What is referred as the long division?Long Division is a technique for dividing large numbers that divides the problem into several steps that follow a sequence. Just like in frequent division problems, a dividend is divided by divisor, yielding the quotient and, in some cases, a remainder.Each component of a division equation has its own name.Dividend: The dividend is really the number divided during the division process.Divisor: The divisor is the number whereby the dividend is divided.Quotient: A quotient is an outcome of the division process.Remainder: We can't always divide things exactly. There could be an extra number. The leftover number is known as the remainder.The following describes the relationship between such four parts:
Divisor x Quotient + Remainder = Dividend
From the given pictures write the value of each part;
Dividend = 6n² - 4n - 16
Divisor = (n-2)
Quotient = 6n - 16
Remainder = 0
Thus, the relation becomes;
(n-2)×(6n - 16) + 0 = 6n² - 4n - 16
Thus, the relation of the function as a product are found for the long division.
To now more about the division. here
https://brainly.com/question/25289437
#SPJ10
Give the coordinates and quadrant of Point C.
Answers
The coordinates is (-4,5) and the quadrant is ii
What is coordinate plane ?A coordinate plane, often referred to as a rectangular coordinate plane grid, is a two-dimensional plane created by the intersection of the Y-axis, a vertical line, and the X-axis, a horizontal line. An area of two dimensions made up of two number lines is known as a coordinate plane. It is created when a point termed the origin, where the X-axis and Y-axis cross, is reached. You may find points by using the numbers on a coordinate grid. Graphing points, lines, and many other things may all be done using a coordinate plane. It serves as a map and provides exact driving instructions.
The coordinates is (-4,5) and the quadrant is ii
To learn more about coordinate plane visit :
brainly.com/question/13611766
#SPJ13
allie is making 8 dozen chocolate chip muffins for the food fair at school. the recipe she is using makes 3 dozen muffins. if the original recipe calls for 16 ounces of chocolate chips, how many ounces of chocolate chips does she need for her new amount? (allie buys her chocolate chips in bulk and can measure them to the nearest ounce.)
Answers
With the help of the ratio, we can conclude that Allie needs 42.72 ounces of chocolate chips for her new recipe.
What is the ratio?A ratio in mathematics demonstrates how many times one number is present in another. For instance, if a bowl of fruit contains eight oranges and six lemons, the ratio of oranges to lemons is eight to six. The ratio of oranges to the total amount of fruit is 8:14, and the ratio of lemons to oranges is 6:8.So, first, we will take the ratio of a new recipe to the old recipe:
8:3 = 8/3 = 2.67Now, the chocolate chips she needs for the new recipe:
16 × 2.67 = 42.72Chocolate chips for new recipe = 42.72 ouncesTherefore, with the help of the ratio, we can conclude that Allie needs 42.72 ounces of chocolate chips for her new recipe.
Know more about ratios here:
https://brainly.com/question/2328454
#SPJ9
Please help me. Thank you!
Answers
Only height, because when you have an expression that relies only on multiplication (not addition or subtraction), we'll say:
cb = a
Tripling either c or b will also triple a. For example:
(8)(3) = 24
(8 + 8 + 8)(3) = 24(3)
(24)(3) = 24(3)
This will be true even if you multiply c by any other number.
So, in the expression v = πr²h, any term except r can be tripled with the result of tripling v. We exclude r because r has an exponent, which means tripling r will more than triple v.
What initial investment must be made to accumulate $120000 in 12 years if the money is invested in a mutual fund that pays 14%annual interest, compounded monthly? Use the analytical solution to find the answer.
Answers
What initial investment must be made to accumulate $120000 in 12 years if the money is invested in a mutual fund that pays 14%
annual interest, compounded monthly?
Remember that
The compound interest formula is equal to
[tex]A=P(1+\frac{r}{n})^{nt}[/tex]where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest in decimal
t is Number of Time Periods
n is the number of times interest is compounded per year
in this problem we have
A=$120,000
t=12 years
r=14%=14/100=0.14
n=12
substitute in the given formula
[tex]120,000=P(1+\frac{0.14}{12})^{12\cdot12}[/tex]Solve for P
P=$22,583.42witch ones greater 52 4/9 or 211/4
Answers
Answer:
211/4 is bigger number cause if you look at it right 52 4/9 is smaller than 211/4
Which graph shows the solution to the system of linear inequalities?
2x – 3y <12
y < –3
On a coordinate plane, 2 lines are shown. The first dashed straight line is horizontal to the y-axis at y = negative 3. Everything below the line is shaded. The second solid line has a positive slope and goes through (0, negative 4) and (3, negative 2). Everything below the line is shaded.
On a coordinate plane, 2 lines are shown. The first dashed straight line is horizontal to the y-axis at y = negative 3. Everything above the line is shaded. The second solid line has a positive slope and goes through (0, negative 4) and (3, negative 2). Everything above the line is shaded.
On a coordinate plane, 2 lines are shown. The first dashed straight line is horizontal to the y-axis at y = negative 3. Everything below the line is shaded. The second solid line has a positive slope and goes through (0, negative 4) and (3, negative 2). Everything above the line is shaded.
On a coordinate plane, 2 lines are shown. The first dashed straight line is horizontal to the y-axis at y = negative 3. Everything above the line is shaded. The second solid line has a positive slope and goes through (0, negative 4) and (3, negative 2). Everything below the line is shaded.
Answers
The solution for the system of linear inequalities is y <-3 and x < 10.5
What are linear inequalities?Linear inequalities are inequalities that have constant average rates of change.
How to determine the graph of the linear inequalities?A system of linear inequalities is a collection of at least two linear inequalities
In this case, the system of inequalities is given as
2x - 3y < 12
y < -3
Substitute y < -3 in 2x - 3y < 12
2x - 3(3) < 12
Evaluate the like terms
2x - 9 < 12
This gives
2x < 21
Divide by 2
x < 10.5
Hence, the solution is y <-3 and x < 10.5
See attachment for the graph where the green line represents y <-3 and the other represents 2x - 3y < 12
Read more about inequality at
https://brainly.com/question/25275758
#SPJ1
bryce orders the following items from catalog what is the total price he charges to his credit card if the sales tax is 6 percent and nontaxable shipping cost 5$ for the order round to the nearest cent if necessary `
Answers
The total price that Bryce got charged to his credit card is $120.54 .
In the question ,
it is given that the
price for Shorts = $14.00
price for Soccer Ball = $25.00
price for Shin guard = $10.00
price for Cleats = $60.00
the total price for all the items = 14+25+10+60 = $109
Given that the sales tax is 6% of the total price .
So , the sales tax = 6% of 109 = 0.06×109 = $6.54
According to the question
total price = price + sales tax + shipping cost
= 109 + 6.54 + 5
= 120.54
Therefore , the total price that Bryce got charged to his credit card is $120.54 , the correct option is (D) $120.54 .
The given question is incomplete , the complete question is
Bryce orders the following items from a catalog. What is the total price he charges to his credit card if the sales tax is 6 percent and nontaxable shipping costs $5 for the order? Round to the nearest cent if necessary. Shorts=$14.00 ,Soccer ball=$25.00 ,Shin guards=$10.00 ,Cleats=$60.00 .
(A) $104.94
(B) $109.94
(C) $115.54
(D) $120.54
Learn more about Percent here
https://brainly.com/question/25311567
#SPJ1
Is my answer correct?
Answers
Using the concepts of the mean and of the mean absolute deviation, the correct option is given as follows:
Last month, the amount of rain that fell each day varied less than the month before.
What is the mean absolute deviation of a data-set and what does it represent?The mean of a data-set is given by the sum of all observations divided by the cardinality of the data-set, which is the number of observations in the data-set.The mean absolute deviation of a data-set is the sum of the absolute value of the difference between each observation and the mean, divided by the number of observations, hence it basically is the mean of the deviations, given a degree of variability.The mean absolute deviation(MAD) represents the average by which the values differ from the mean.In this problem, we have that:
Two months ago, the measures were: Mean 9.4 cm, MAD 3.5 cm.Last month, the measures were: Mean 11.5 cm, MAD 1.6 cm.Due to the lower mean absolute deviation combined with the higher mean, the amount varied less than the month before, hence the last option is correct.
More can be learned about the mean absolute deviation at https://brainly.com/question/23401130
#SPJ1
Lines b and c are parallel. What is the measure of Angle6? Horizontal and parallel lines b and c are cut by transversal a. Where line b intersects line a, 4 angles are created. Labeled clockwise, from uppercase left, the angles are: (13 x + 9) degrees, 2, 4, 3. Where line c intersects line a, 4 angles are created. Labeled clockwise, from uppercase left, the angles are: 5, 6, (5 x + 9) degrees, 8.
Answers
Using the angle theorems, the measure of angle 6, m ∠6, is 54°
Calculating the measure of anglesFrom the question, we are to determine the measure of angle 6
From the given diagram, we can write that
(13x + 9)° = m ∠5 (Corresponding angles theorem)
and
m ∠5 + (5x + 9)° = 180° (Linear pair theorem)
Thus,
(13x + 9)° + (5x + 9)° = 180°
Now, we will solve for x
13x + 9 + 5x + 9 = 180
18x + 18 = 180
Subtract 18 from both sides of the equation
18x + 18 - 18 = 180 - 18
18x = 162
x = 162/18
x = 9
Now, to determine the measure of angle 6
m ∠6 = (5x + 9)° (Vertical angles theorem)
Substitute the value of x
m ∠6 = (5(9) + 9)°
m ∠6 = (45 + 9)°
m ∠6 = 54°
Hence, measure of ∠6 is 54°
Learn more on Calculating measures of angles here: https://brainly.com/question/24607467
#SPJ1
Which property justifies the statement below?
7(mn) = (7m)n
Which property justifies the statement below?
7(mn) = (7m)n
Associative Property
Inverse Property
Identity Property
Commutative Property
Answers
Property justifies the given statement 7(mn)= (7m)n is :
Associative property of multiplication.
As given in the question,
Given statement :
7(mn) = (7m)n
Property justifies the given statement 7(mn)= (7m)n is :
Here three numbers are multiplying to each other.On left hand side 7 is multiplied to a group formed by mn.On right hand side 7m is group together and get multiplied to n.After regrouping result remain same as they equal to each other.Left hand side is equal to right hand side.This shows that it is associative property of multiplication.Therefore, property justifies the given statement 7(mn)= (7m)n is :
Associative property of multiplication.
Learn more about property here
brainly.com/question/11007967
#SPJ1
If the value of the expression below is a perfect square, which could be the value of m?
expression is 10m
A: m= 2/5
B: m= 1/2
C: m=1
D: m=2
Answers
Answer:
A
Step-by-step explanation:
[tex]m=2/5 \implies 10(2/5)=4 \\ \\ m=1/2 \implies 10(1/2)=5 \\ \\ m=1 \implies 10(1)=10 \\ \\ m=2 \implies 10(2)=20[/tex]
Of these, only 4 is a perfect square.
Which equation represents a line which is parallel to the line y-2x =7
Answers
The line which is parallel to the given line is 2x- y= 0 or y= 2x.
The given line y= 7+ 2x
this is written in the form y= mx +c where if we compare these two equations we get m= 2
Now consider a point which passes through the origin (0,0)
Thus y-y₁= m(x-x₁)
y- 0 = 2 ( x- 0)
y= 2x or 2x- y= 0
Thus, the line which is parallel to the given line is 2x- y= 0.
To know more about how to find a parallel line visit:
https://brainly.com/question/402319
#SPJ10