To know the relation between the lines we have to calculate the slope with this expression:
[tex]y=mx+c[/tex]whre m is the slope and c the intersection with the y axis, so for the first line
[tex]\begin{gathered} y=-3x+9 \\ m=-3 \end{gathered}[/tex]and for the secon line:
[tex]\begin{gathered} y=-\frac{1}{3}x+1 \\ m=-\frac{1}{3} \end{gathered}[/tex]The slope is diferent, so they are not parallel, and they are not the same line. is they where perpendicular the slope of the second line should be the negative reciprocal of the first line. and in this case:
[tex]-3\to\frac{1}{3}[/tex]so they are not perpendicular. So the solution is numeral D) neither parallel nor perpendicular
Does figure B appear to be a rigid transformation of figure A?
It does not appear to be a rigid transformation
1) Looking at those figures, we can say that B does not appear to be a rigid transformation, since a rigid transformation keeps its sizes congruent.
This looks like a Dilation, which makes the image a similar one after being dilated.
Find the volume of a rectangular solid with the given dimensions: length 28 feet, width 26 feet, height 25 feet.
Ok, so
Here we have the following rectangular solid:
Remember that the volume can be found using the following equation:
[tex]V=L\cdot W\cdot H[/tex]Where L is the length, W is the width, and H is the height.
If we replace our values:
[tex]\begin{gathered} V=(28ft)(26ft)(25ft) \\ V=18,200ft^3 \end{gathered}[/tex]Therefore, the volume is equal to 18200 ft3.
A small independent motion picture company determines the profit Pfor producing n DVDcopies of a recent release is P =-0.02n2 + 3.40n - 16. Pis the profit in thousands of dollars and n isin thousands of units.Was it is question 5 ignore my notes
In calculus, at the maximum point, gradient is zero.
[tex]\begin{gathered} We\text{ plot a graph of the curve P=}-0.02n^2\text{ +}3.40n\text{ - 16}\ldots\ldots.\ldots\ldots\text{.(eqn 1)} \\ \text{Gradient of the curve at any point is }\frac{dP}{dn}=\text{-}0.04n\text{ +3.40} \end{gathered}[/tex]Recall that at the maximum point, this dP/dn is zero and in that case, we have:
[tex]\begin{gathered} 0\text{ = -0.04n + 3.40 } \\ \text{adding 0.04n to both sides give} \\ 0.04n\text{ = 3.40} \\ \text{dividing both sides by 0.04} \\ \frac{0.04n}{0.04}=\frac{3.40}{0.04} \\ n\text{ = 85 thousand units.} \end{gathered}[/tex][tex]\begin{gathered} \text{Next step is to substitute n into the equation for P (eqn 1)} \\ P=-0.02(85^2)\text{ + 3.4(85) - 16 = 128}.5\text{ thousand dollars.} \end{gathered}[/tex]Therefore the company will produce 85 thousand units to maximize profits
and in producing these, will make its maximum profit which is 128.5 thousand dollars
Directions: Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.Evaluate-2(x + 6) + 3 = -110 + 4(x + 4)The value of x is
-2 (x+6) + 3 = -110 + 4 (x+4)
First, apply the distributive property to solve the parentheses:
-2(x) -2 (6) + 3 = -110 + 4(x) + 4 (4)
-2x -12 +3 = -110 + 4x + 16
Combine like terms:
-2x -9 = 4x -94
Move the x terms to the left side of the equation:
-2x-4x = -94+9
-6x = -85
Divide both sides by -6
-6x/-6= -85/-6
x = 85/6
I need help with my math
Given
Pool of equations
Procedure
[tex]\begin{gathered} 2y=-1x-8 \\ y=\frac{-1x-8}{2} \\ y=-\frac{1}{2}x-\frac{8}{2} \\ y=-\frac{1}{2}x-4 \end{gathered}[/tex][tex]\begin{gathered} y-4=-3(x-3) \\ y-4=-3x+9 \\ y=-3x+9+4\rbrack \\ y=-3x+13 \end{gathered}[/tex][tex]\begin{gathered} 0.2x+0.3y=0.5 \\ 0.3y=0.5-0.2x \\ y=\frac{-0.2x+0.5}{0.3} \\ y=-\frac{0.2x}{0.3}+\frac{0.5}{0.3} \\ y=-\frac{2}{3}x+\frac{5}{3} \end{gathered}[/tex][tex]\begin{gathered} \frac{1}{4}y+3=-5x \\ \frac{1}{4}y=-5x-3 \\ y=4(-5x-3) \\ y=-20x-12 \end{gathered}[/tex]
Which of the following a a true statement about dilation?
Answer:
It changes the size of a figure.
Explanation:
When we dilate a figure, the new figure will be similar, so the difference between the new one and the original will be the size that depends on the scale factor.
Therefore, the true statement is:
It changes the size of a figure.
How to round 636,157 to the nearest 10 thousand
The given number is 636157
Remember, ten thousand is written as 10000. It has 5 digits. Thus, the place value of ten thousand is the 5th digit from the last digit. By applying this definition to the given number, the ten thousand place value is 3. Since the digit to the right of 3 is grater than or equal to 5, we would round up 3 by 1.
Therefore, rounding to the nearest ten thousand, it becomes 640000
Question 5 Which of the following describes the volume of a right rectangular prism? A sum of the edge lengths c B the product of the edge lengths of the sum of the areas of the six faces D the product of one-half the base and the height ©2021 Illuminate Education TM, Inc.
Volume of Right rectangular prism:
The volume of a right rectangular prism is given by
[tex]V=l\cdot w\cdot h[/tex]Where l is the length, w is the width, and h is the height of the rectangular prism.
As you can see, the formula says that the volume is basically the product of its lengths.
Therefore, the correct answer would be option B
hi, can you help me answer this question, please, thank you:)
The question requires that we use the binomial probability distribution
To do this, we will use the binomial formula
[tex]^nC_r\times P^r\times q^{n-r}[/tex]Where
[tex]\begin{gathered} P=\text{ probability of success} \\ q=\text{ probabilty of failure} \\ n=\text{ number of times} \\ \end{gathered}[/tex]In our case
[tex]P=76\text{ \%=}\frac{76}{100}=0.76[/tex][tex]\begin{gathered} q=1-p=1-0.76=0.24 \\ q=0.24 \end{gathered}[/tex][tex]n=12[/tex]For the first question,
We are told to find the probability that exactly 6 jurors are Asian American
In this case,
[tex]\begin{gathered} r=6 \\ \end{gathered}[/tex]So applying the formula
[tex]\begin{gathered} (P=6)=>^{12}C_6\times0.76^6\times0.24^{12-6}=^{12}C_6\times0.76^6\times0.24^6 \\ \\ (P=6)\Rightarrow924\times0.1927\times1.911\times10^{-4}=0.0340 \\ \\ \end{gathered}[/tex]Thus, the probability that exactly 6 jurors are Asian American =0.0340
For the second question
We are told to find the probability of 6 or fewer than 6 are Asian Americans
[tex]\begin{gathered} \text{When r=0} \\ (P=0)\Rightarrow^{12}C_0\times0.76^0\times0.24^{12}=^{12}C_0\times0.76^0\times0.24^{12} \\ (P=0)=1\times1\times3.65^{}\times10^{-8} \\ P\text{ is appro}\xi mately\text{ 0} \end{gathered}[/tex]We will repeat this for when r=1, 2, 3, 4, 5 and 6
And then we will sum the values up
[tex]\begin{gathered} \text{When r=1} \\ P=\text{appro}\xi\text{mately 0} \end{gathered}[/tex][tex]\begin{gathered} when\text{ r=2} \\ P\approx0.0002 \end{gathered}[/tex][tex]\begin{gathered} \text{when r=3} \\ P\approx0.00026 \end{gathered}[/tex][tex]\begin{gathered} \text{when r=4} \\ P\approx0.00182 \end{gathered}[/tex][tex]\begin{gathered} \text{when r=5} \\ P=0.00921 \end{gathered}[/tex][tex]\begin{gathered} \text{when r=6} \\ P=0.03403 \end{gathered}[/tex]Then
The probability of 6 or fewer than 6 are Asian Americans = P(0)+P(1)+P(2)+P(3)+P(4)+P(5)+P(6)
Thus,
The probability of 6 or fewer than 6 are Asian Americans = 0+0+0.00002+0.00026+0.00182+0.00921+0.03403=0.04534
The probability of 6 or fewer than 6 is Asian Americans=0.04534
For the third part
The probability of more than 10 will be
The sum of the probabilities when r = 11 and r =12
[tex]\begin{gathered} \text{when r=11} \\ ^{12}C_{11}\times0.76^{11}\times0.24^{12-11}=^{12}C_{11}\times0.76^{11}\times0.24^1=0.14072 \end{gathered}[/tex][tex]\begin{gathered} \text{when r=12} \\ ^{12}C_{12}\times0.76^{12}\times0.24^{12-12}=^{12}C_{12}\times0.76^{12}\times0.24^0=0.03713 \end{gathered}[/tex]Thus, the total probability = P(11) + P(12)= 0.14072 +0.03713 = 0.17785
Hence,
The probability of more than 10 Asian-Americans will be = 0.17785
A gamer is observing her score, y, as she plays a video game. She currently has 3,800 points and is gaining 350 points for every minute, x, she plays.Which of the following equations can be used to describe this linear relationship? y = 350x + 3,800 y = 350x − 3,800 y = 3,800x + 350 y = 3,800x − 350
Answer:
y = 3,800 + 350x or y = 350x + 3,800 (Option 1)
Explanation:
Since she initially has a score of 3,800 then we can say that y = 3,800.
As every minute goes by, she gains 350 points. If x = number of minutes, then sh
OPTION 1
Hope that helps
There are 10 girls and 16 boys in a class. The teacher has sticks with each student's name on them in a bag. What is the probability of selecting sticks with a boy'sname and then a girl's name if the first stick is not replaced?A40169B166545128D10FirstBack Pause IINextReviewLenovo
The probability is going to be calculated multiplying the probability of two events. The first event is selecting a boy's name which is 16(number of boys) /26( Total of students). The second event is selecting a girl's name after the first event happened, it must be: 10(number of girls)/ 25(Total students after selecting a boy's name)
[tex]\begin{gathered} \frac{16}{26}\cdot\frac{10}{25}=\frac{160}{650} \\ \frac{160}{650}=\text{ }\frac{16}{65}\text{ (Dividing the numerator and the denominator by 10)} \\ \text{ The answer is the option B} \end{gathered}[/tex]on: 5 right and 5 down
Answer:
Step-by-step explanation:
On this problem, the answer has been worked out, but you must fill in the blanks in the solution.A random sample of 50 cars in the drive-thru of a popular fast food restaurant revealed an average bill of $18.21 per car. The population standard deviation is $5.92. Estimate the mean bill for all cars from the drive-thru with 99% confidence.
Given the formula;
[tex]\bar{x}\pm z_{\frac{\frac{a}{2}}{2}}(\frac{\sigma}{\sqrt[]{n}})[/tex][tex]\begin{gathered} Given; \\ \bar{x}=18.21 \\ z-\text{score for 99\%= 2.576} \\ \sigma=5.92 \\ n=50 \end{gathered}[/tex]Then, we have;
[tex]18.21\pm2.576(\frac{5.92}{\sqrt[]{50}})\ldots\ldots\ldots\ldots\ldots\text{equation 1}[/tex][tex]\begin{gathered} \text{ \$18.21}\pm\text{ \$2.16} \\ \text{ \$18.21-\$2.16=\$16.05} \\ \text{and} \\ \text{\$18.21+\$2.16=\$20.37} \end{gathered}[/tex]Thus, the confidence interval is;
[tex]\text{ \$16.05}\leq\mu\leq\text{ \$20.37}[/tex]First box: 18.21
Second box: 2.576
Third box: 5.92
Fourth box: 50
Fifth box: 16.05
Sixth box: 20.37
Use PEMDASto solve the following:6 4(8-3)² + 15-
Given the following question:
Using PEMDAS
P - Parentheses
E - Exponent
M - Multiplication
D - Division
A - Addition
S - Subtraction
To solve a equation using PEMDAS you will go up at P, to down with S. You go in a straight line and solve the equation step by step.
6 - 4(8 - 3)^2 + 15
First P
8 - 3 = 5
6 - 4 * 5^2 + 15
E is next
5^2 = 5 * 5 = 25
6 - 4 * 25 + 15
M is next
4 * 25 = 100
6 - 100 + 15
D is next but there is no D
6 - 100 + 15
A is next
100 + 15 = 115
6 - 115
Now we have s
6 - 115 = -79
= -79
Your answer is -79.
Alexander's mom baked several pies and cut them so that each slice is 1/12 of a whole pie Alexander plan to eat 6 1/6 pieshow many slices will it Alexander eat
Given data:
The amount in each slice is 1/12.
The total amount is,
[tex]\begin{gathered} T=6\frac{1}{6} \\ =\frac{37}{6} \end{gathered}[/tex]The number of slices are,
[tex]\begin{gathered} n=\frac{(\frac{37}{6})}{(\frac{1}{12})} \\ =\frac{37\times12}{6} \\ =74 \end{gathered}[/tex]Thus, the number of slices are 74.
Let f(x)=x/(x-6). Find a function y=g(x) so that (fog)(x)=2x.
solve as a simultaneous equation maybe?
f(x) + g(x) = 2x or x/(x-6) + y =2x
and then solve so it becomes 2x^2 + 5x =y
then factorise into brackets or use quadratic formula
Step-by-step explanation:
A bike trail is 24 miles long and is divided that are each 2/3 mile long. The equation 2/3d=24 can be used to find the number of sections along the bike trail. Which process can be used to find the number of sections?
Given
The equation that can be used to find the number of sections is:
[tex]\frac{2}{3}d\text{ = 24}[/tex]To find d, we need to divide 24 by 2/3:
[tex]\begin{gathered} d\text{ = 24 }\div\text{ }\frac{2}{3} \\ d\text{ = 24 }\times\text{ }\frac{3}{2} \\ d\text{ = 36} \end{gathered}[/tex]Hence, to calculate d, we need to multiply 24 by 3 and divide by 2 (option D)
. A store sold 14 more colored shirts thanwhite shirts. The white shirts cost $9.95and colors cost $10.50. If a total of $310.60were sold, how many of each type weresold?
Let "w" represent the number of white shirts sold and "c" the number of colored shirts sold.
If they sold 14 more colored shirts than white shirts, then the number of colored shirts sold can be expressed as:
[tex]c=w+14[/tex]Each white shirt cost $9.95 and each colored shirt costs $10.50. In total, they earned $310.60. To determine the total sales, you have to add the earnings for selling "w" white shirts and the earnings from selling "c" colored shirts:
[tex]9.95w+10.50c=310.60[/tex]Using both equations you can determine the number of white and colored shirts sold.
First, replace the first equation in the second one:
[tex]9.95w+10.50(w+14)=310.60[/tex]Now we have established an equation with one unknown, "w", and we can solve it to determine its value:
-Distribute the multiplication on the parentheses term
[tex]\begin{gathered} 9.95w+10.50w+10.50\cdot14=310.60 \\ 9.95w+10.50w+147=310.60 \end{gathered}[/tex]-Add the like terms together
[tex]20.45w+147=310.60[/tex]-Subtract 147 from both sides of the equation
[tex]\begin{gathered} 20.45w+147-147=310.60-147 \\ 20.45w=163.60 \end{gathered}[/tex]-Divide both sides by 20.45
[tex]\begin{gathered} \frac{20.45w}{20.45}=\frac{163.60}{20.45} \\ w=8 \end{gathered}[/tex]w=8 This means that 8 white shirts were sold.
Next, using this value you can calculate how many colored shirts were sold
[tex]\begin{gathered} c=w+14 \\ c=8+14 \\ c=22 \end{gathered}[/tex]c=22 indicates that there were 22 colored shirts sold.
The figure below shows total costs for three gym memberships. Which is the most accurate statement?250+y=25%y = 15x -50y = 10x100Platnum200+©150+Standard10010Monthly1550.1Platinum is crescentMorty is cheapest251 2 3 4 52++6 7 8Month91011 12A Standard is never the cheapest option regardless of durationB of the 3, Monthly is cheapest out to 10 monthsMonthly is cheapest out through 5 monthsD Monthly is always the costliest for any duration
The correct option is C
A is not true because standard is the cheapes in the period 5 to 10 months, we can see this because the two other lines are above the line of standard in this period, thus standard is the cheapest in the interval
B is not true because monthly becomes more expensive than standard at month 5.
D is not true because monthly is the cheapest fom month 0 to 5.
Then, the only option is true, over the first 5 months, monthly is the cheapest
Kiana wants to have an average of at least 90 on her quizzes. If she took three quizzes and earned an 84, 90 and 97. write out the inequality that would help Kiana find the grade that she needs to make on her 4th quiz.PLESE HELP
Her grades in the first three quizzes are 84, 90, and 97.
We will call the grade of the 4th quiz "x".
To find the average of the four quizzes, we need to add all of the scores and divide them by the number of quizzes. In this case, we need to add 84, 90, 97, and x, and divide by 4:
[tex]\frac{84+90+97+x}{4}[/tex]And since she wants to have an average of at least 90, the last expression has to be greater or equal to 90, we express this with the symbol ≥.
The inequality that can help her find the grade that she needs is:
[tex]\frac{84+90+97+x}{4}\ge90[/tex]From there, she can find the value "x" that she needs for the fourth quiz.
Answer:
[tex]\frac{84+90+97+x}{4}\ge90[/tex]Identify whether the given points are collinear by completing the average rate of change between all input-output pairs
Answer:
Explanation:
When two or more points are collinear, it means they lie on the same line
Thus, if they are on the same line, the average rate of change is expected to be the same
Between two points, we have the average rate of change calculated as:
[tex]\Delta\text{ = }\frac{y_2-y_1}{x_2-x_1}[/tex]Let us have the points labelled A,B and C
Between A and B, we have the average rate of change as:
[tex]\Delta\text{ = }\frac{2\pi+1-\pi}{4-0}\text{ = }\frac{\pi+1}{4}[/tex]Between A and C, we have the average rate of change as:
[tex]\Delta\text{ = }\frac{3\pi+2-\pi}{6-0}\text{ = }\frac{2\pi+2}{6}\text{ = }\frac{\pi+1}{3}[/tex]Between B and C, we have the average rate of change as:
[tex]\Delta\text{ = }\frac{3\pi+2-(2\pi+1)}{6-4}\text{ = }\frac{\pi+1}{2}[/tex]We can see that the rate of change is not the same and it is safe to say that the points are not collinear
Jayla earns $280.80 for selling $2340 worth of tee shirts. What is the commissionrate? *(2 Points)10%11%Ο Ο Ο13%12%
The selling price is
[tex]=\text{ \$2340}[/tex]The commission is
[tex]=\text{ \$280.80}[/tex]The percentage commission can be calculated using the formula below
[tex]\text{percentage commission= }\frac{\text{commission}}{\text{selling price}}\times100\text{ \%}[/tex]Substituting the values in the formula above, we will have
[tex]\begin{gathered} \text{percentage commission= }\frac{\text{commission}}{\text{selling price}}\times100\text{ \%} \\ \text{percentage commission}=\frac{280.80}{2340}\times100\text{ \%} \\ \text{percentage commission =}\frac{\text{28080}}{2340} \\ \text{percentage commission}=12\text{ \%} \end{gathered}[/tex]Hence,
The final answer is OPTION D
What is the graph of x = -5?
We are given the equation:
[tex]x=-5[/tex]The pictorial representation is given below:
We thus see that the graph of "x = -5" is a straight vertical line that runs through the value of "x" at -5
Kaitlin cut 4 yards of fishing line from a new reel. How much is this in inches?Write your answer as a whole number or a mixed number in simplest form. Include the correct unit in your answer.I8inftydPlease help
Question:
Solution:
Step 1: Convert mixed number to improper fraction:
[tex]4\frac{1}{3}=\frac{13}{3}[/tex]Step 2: Conver the given yards to inches. Remember that 1 yard is equivalent to 36 inches, then 13/3 yards is equivalent to:
[tex]\frac{13}{3}yards\text{ (}\frac{36\text{ inches}}{1yard})=\text{ 156 inches}[/tex]So that, we can conclude that the correct answer is:
156 inches.
Find the equation of the line passing through the point (-7,2) that is perpendicular to the line 4x - 3y = 10
To write the equation of a line in the form y=mx+b you need to identify the slope (m) and the y-intercept (b).
Slope:
Two perpendicular lines have opposite reciprocals:
You have the line:
[tex]4x-3y=10[/tex]Identify the slope in the equation above (solve the equation for y to get a equation in the form y=mx+b):
[tex]\begin{gathered} 4x-4x-3y=-4x+10 \\ -3y=-4x+10 \\ \frac{-3}{-3}y=\frac{-4x}{-3}+\frac{10}{-3} \\ \\ y=\frac{4}{3}x-\frac{10}{3} \end{gathered}[/tex]The slope of the perpendicular line (given) is 4/3.
Find the opposite reciprocal to find the slope of the line:
[tex]\begin{gathered} m=-\frac{1}{m} \\ \\ m=-\frac{1}{\frac{4}{3}} \\ \\ \\ m=-\frac{3}{4} \end{gathered}[/tex]Slope: -3/4y-intercept:
Use the given point (-7,2) (x= -7 and y= 2) and the slope (m=-3/4) in the equation y=mx+b to solve b:
[tex]\begin{gathered} y=mx+b \\ 2=-\frac{3}{4}(-7)+b \\ \\ 2=\frac{21}{4}+b \\ \\ 2-\frac{21}{4}=\frac{21}{4}-\frac{21}{4}+b \\ \\ \frac{8-21}{4}=b \\ \\ b=-\frac{13}{4} \end{gathered}[/tex]Y-intercept: -13/4Equation of the line:[tex]y=-\frac{3}{4}x-\frac{13}{4}[/tex]question 1 the sum of three consecutive integers is 126. the value of the GREATEST number is ____
43
Explanation
Step 1
let x represents the first number
first number=X
as the number are consecutives, the second number would be
[tex]\begin{gathered} \text{second number= first number +1} \\ \text{second number=x}+1 \end{gathered}[/tex]and the third number would be
[tex]\begin{gathered} \text{third number= second number +1} \\ \text{third number=(x}+1)+1 \\ \text{third number=x}+2 \end{gathered}[/tex]Now, we are told the sum of the three consecutive numbers is 126,so
[tex]\text{first number+second number+thir number=126}[/tex]replace
[tex]x+(x+1)+(x+2)=126\rightarrow equation\text{ (1)}[/tex]Step 2
solve the equation
[tex]\begin{gathered} x+(x+1)+(x+2)=126\rightarrow equation\text{ (1)} \\ x+x+1+x+2=126\rightarrow equation\text{ (1)} \\ \text{add like terms} \\ 3x+3=126 \\ \text{subtract 3 in both sides} \\ 3x+3-3=126-3 \\ 3x=123 \\ \text{divide both sides by 3} \\ \frac{3x}{3}=\frac{123}{3} \\ x=41 \end{gathered}[/tex]Step 3
finally, replace the x value to find the numbers
[tex]\begin{gathered} \text{first number= x} \\ \text{first number=}41 \\ \text{second number = x+1}=41+1 \\ \text{second number = }42 \\ \text{third number=x+2=41+2} \\ \text{third number=}43 \end{gathered}[/tex]theferore, the greatest number is 43
I hope this helps you
As part of an internship program in high school, David worked at a senior carecenter. While working at the center David discovered he liked taking care ofpeople so after high school he enrolled in an 8-week course to become aCertified Nursing Assistant (CNA). As a CNA, David works closely with doctorsand nurses to make sure patients receive the care that they need.
hours worked in a week Income
1
2
8
35
find the value or measure. Assume all lines that appear to be tangent are tangent.
Given :
m SW = 12x - 5
m TV = 2x + 7
m∠ TUV = 6x - 19
so,
m∠ TUV = 0.5 * ( m SW - m TV)
so,
[tex]6x-19=\frac{1}{2}\lbrack(12x-5)-(2x+7)\rbrack[/tex]Solve for x;
[tex]\begin{gathered} 12x-38=12x-5-2x-7 \\ 12x-38=10x-12 \\ 12x-10x=38-12 \\ 2x=26 \\ \\ x=\frac{26}{2}=13 \end{gathered}[/tex]so, the measure of the arc SW = 12x - 5 = 12 * 13 - 5 = 151
Distributive property find the GCF 18- 36
First we have divide them by a number which can be used to divide both at the same time. Since both numbers are divisible by 2, we are going to start with that number
18 36 l 2
9 18 l 3 After dividing by 2 we must divide by 3 because both are
divisible by 3
3 6 l 3 After dividing by 3 we must divide by 3 because both are
divisible by 3
1 2 l x We have to stop here because there is not any number different than 1 to divide these final two numbers
Finally we multiply our prime numbers ( used for dividing) and we find our GFC
which is 18
The total cost to go horseback riding is x dollars per hour plus a $2 fee for renting a helmet. Which expressions represent the cost, in dollars, for 4 people to go horseback riding for 3 hours each? Select all that apply
Hello!
First, let's write some important information contained in the exercise:
• Cost per hour:, $x
,• Fee:, $2
So, we can write the expression as:
f(x) = x +2
Now, let's solve your exercise:
Which expressions represent the cost, in dollars, for 4 people to go horseback riding for 3 hours each?
So, first, we will multiply the cost per hour by 3. Then, add the fee of $2.
To finish, we will multiply the equation by 4 (number of people).
Look:
[tex]4\cdot(3x+2)[/tex]Possible Answers:4 * (3x +2) or also 12x +8