Answer:
6,16
Step-by-step explanation:
Please help me understand how to do this because I don't understand.
Answer:
(4, 360)cost of repair in either shop is 360 for 4 hours workAmy's is cheaper for 3 hours. $280Step-by-step explanation:
1.Each of the given equations describes a line on a graph. There are numerous ways to find the values of x and y that will satisfy both equations at the same time. Two of them you have seen are "substitution" and "elimination." Here, "substitution" is easily accomplished by equating one expression for y to the other expression for y:
y = y
100 +65x = 40 +80x . . . substitute for y
60 +65x = 80x . . . . . . . subtract 40 from both sides
60 = 15x . . . . . . . . . . . . subtract 65x from both sides
4 = x . . . . . . . . . . . . . . divide both sides by 15
y = 40 +80x = 40 +80(4) = 360 . . . . find the value of y
The values of x and y that satisfy both equations are ...
(x, y) = (4, 360)
__
2.The point (4, 360) is on both lines. That is the point where the lines intersect. It means 4 hours work will cost $360 in either shop.
__
3.The time of 4 hours that we found above is the "break-even" or "crossover" point in the cost equations. For times below that point, the lowest cost comes because of the lowest "service charge". For times above that point, the lowest cost comes because of the lowest per-hour charge.
3 hours is less than 4 hours, so the shop with the lowest service charge will have a lower cost. That is Amy's shop. Her price for 3 hours is ...
40 +80(3) = 40 +240 = $280 . . . for 3 hours work in Amy's shop
__
If you want to make sure of that, you can find the cost in Mike's shop:
y = 100 +65(3) = 100 +195 = $295 . . . for 3 hours in Mike's shop
To be eligible for the senior admission rate, a visitor must be at least 65 years old.
Use y to represent the age (in years) of a visitor who gets the senior rate.
At the airport, each piece of luggage to be checked in must not weigh more than 55 pounds.
Use w to represent the weight (in pounds) of a piece of luggage that can be checked in.
Answer:
y ≥ 65
w ≤ 55
Step-by-step explanation:
1)To be eligible for the senior admission rate, a visitor must be at least 65 years old. Use y to represent the age (in years) of a visitor who gets the senior rate.
"At atleast 65 years" is the same as being 65 years old or olderIf y is represented by age, the correct equation is y ≥ 652)At the airport, each piece of luggage to be checked in must not weigh more than 55 pounds. Use w to represent the weight (in pounds) of a piece of luggage that can be checked in.
"not weigh more than 55 pounds" is the same as having it weigh 55 pounds or lessIf w is presented by the weight, the correct equation is w ≤ 55-Chetan K
Y=max+b
Write an equation of the linear function
Answer:
Answer: Equation is y = ½x + 3
Step-by-step explanation:
Consider points (4,5) and (0,3)
» General linear equation:
[tex]{ \tt{y = mx + b}}[/tex]
m is the slopeb is y-interceptSlope (m):
[tex]{ \tt{m = \frac{(5 - 3)}{(4 - 0)} }} \\ \\ { \tt{m = \frac{2}{4} = \frac{1}{2} }}[/tex]
slope = ½
y-intercept (c):
[tex]{ \tt{y = \frac{1}{2}x + c }}[/tex]
» Consider point (0,3):
[tex] { \tt{3 = ( \frac{1}{2} \times 0) + c}} \\ \\ { \tt{c = 3}}[/tex]
» Equation:
[tex]{ \boxed{ \tt{y = \frac{1}{2}x + 3 }}}[/tex]
Can u give me the answer
Choose the equation of the line in slope-intercept form.
Perpendicular to the X-axis and has the point (3,4)
A. y = 3
B. y = 4
C. x = 3
D. x = 4
Answer:
C) x = 3
Step-by-step explanation:
Equation of a line in slope-intercept form: y = mx + b
(where m is the slope (gradient) and b is the y-intercept)
If the line is perpendicular to the x-axis, the line will be parallel to the y-axis (vertical). We are told that the line passes through point (3, 4). Therefore, the line will never intercept the y-axis and so the y-intercept is zero. Also, all the values of x = 3
So the equation of the line is: x = 3
Problem Solving
13. Colby has 16 jars of spices. He wants to arrange them in arrays.
What arrays could he use to arrange them?
41/4 cups equals how many pints
Answer:
20.75 pints
Step-by-step explanation:
Check attachment
Answer: (41/4) US cup =
5.12500 US pints
Step-by-step explanation:
The length of three snakes exhibited and the zoos reptile house are labeled. The king snake is 65 inches. The Easter diamondback rattlesnake is 2 yards. The ridge nosed rattlesnake is 4 feet. Which statement correctly compares the length of the snakes?
A. The king snake is the longest snake.
B. The ridge nosed rattlesnake is longer than the eastern diamondback rattlesnake.
C. The eastern diamondback rattlesnake is the longest snake.
D. The eastern diamondback rattlesnake is shorter than a king snake.
Answer:
C
Step-by-step explanation:
King Snake: 65 inches / 12 inches per foot = about 5.4 feet long
Eastern Diamondback Rattlesnake: 2 yards * 3 feet per yard = 6 feet long
Ridge Nosed Rattlesnake: 4 feet long
Therefore, the eastern diamondback rattlesnake is the longest snake.
Alissa ownes a lovely country store. She buys 6 jars of honey for $65 and then sells 5 jars for $72. How many jars would Alissa have to buy and then sell to make a profit of $214?
60 or y=4×+6
Step-by-step explanation:
we have been given the equation;
2(2x + 3) = -4 + 2(2x + 5)
we need to determine the value of x.
2(2x + 3), we expand this expression to obtain 4x + 6
similarly 2(2x + 5) will become 4x + 10
now we have;
4x + 6 = -4 + 4x + 10
4x + 6 = 4x + 10 - 4
4x + 6 = 4x + 6
the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;
y = 4x + 6
consequently, we shall have infinitely many solution.
PLZ HELP ILL MARK AS BRAINLIEST
Answer:
1092 cm^2
Step-by-step explanation:
Formula = 2 * Height (Length + Width)
2 * 26 (15 + 6) = 1092
Which expressions are polynomials?
Select each correct answer.
Answer:
the second and third one
Step-by-step explanation:
if the original quantity is 460 and the new quantity is 600 , what is the percent increase
Dora earns a monthly salary of $3,568 plus 1% commission. Last month, she sold
$12,674 worth of products. What was her gross monthly pay?
Round to the hundredths place, if the answer doesn't have a hundredths place
include a zero so the answer does have a hundredths place. Use a word for the
units not a symbol and be sure to attach supporting math work in order to earn
credit for your answer.
Your Answer:
Units:
units
Answer
well if dora earns a monthly salary of $3,568 and she gives boots $1189 and gives swiper the fox $1189 and keeps $1189 for herself that she can buy starbucks and clothes
Step-by-step explanation:
Answer:
3,694.71 dollars
Step-by-step explanation:
Given the following question:
Dora earns a monthly salary of $3,568...
She also earns a 1% commission...
Last month she sold $12,674 worth of products
To find the answer we have to find 1% of her last month's pay and then add that number to her monthly salary.
1% of $12,674
[tex]\frac{1\times12674}{100} =1\times12674=12674\div100=126.74[/tex]
1% of $12,674 is $126.74
[tex]3568+126.71=3694.71[/tex]
The number is already rounded to the nearest hundredth's place.
[tex]=3694.71[/tex]
So, in total Dora earns "$3,694.71" for last month.
Hope this helps.
Determine the domain and range of the following relation.
x + 2 = [y]
Answer:
Domain: all real numbers
Range: all real numbers
Step-by-step explanation:
7 pounds of plums make 8 rolls of fruit leather. If every batch of fruit leather requires the
same amount of plums, how many pounds of plums are required to make 20 rolls of fruit
leather?
Answer: 17.5 lbs of plums are required to make 20 rolls of fruit leather.
Step-by-step explanation:
Since 7 lbs of plums yield 8 rolls of fruit leather, 1 lb will yield 1 1/7 rolls of fruit leather.
To find how many pounds of fruit will yield 20 rolls of fruit leather, divide how many rolls of leather you want to get by how many rolls of leather one pound will yield.
20 divided by 8/7 equals 17 1/2.
2 to the 1st power times 30
Answer:
60
Step-by-step explanation:
Answer:
60
Step-by-step explanation:
2 to the 1st power times 30 -----> 2^1 x 30
2^1 x 30
exponent first
2 x 30
finish it
60
answer = 60
I hope this helps! Have a wonderful day!
Lilac~
help PLEASEEEE
Given that Segment BE is 5 units, find the indicated measures for Angle 1, Angle 2, Segment AC, Segment AD.
Answer:
Segment AC = 10 units
segment AD =
angle 1 = 45°
angle 2 = 90°
AE = BE = CE = DE = 5
SEGMENT AC = AE + CE
= 5 + 5
= 10 UNITS
SEGMENT AD = 5² + 5²
= √50
= 7.071
= 7 UNITS
ANGLE 1 = 90° ÷ 2
= 45°
ANGLE 2 = 360° ÷ 4 / 180° ÷ 2
= 90°
Help please please!!!!!!!
Answer:
I'll do the first one as an example. The answer of the first one is 6.
Step-by-step explanation:
In the first example, they multiplied the number by 2 to get a common denominator for the two fractions so you can easily add. So, the first box will come 10 (5 times 2) and the second box will become 2 (1 times 2). Then simply add the fractions. The sum of the first question is 2. Because 2 10/12 + 3 2/12 = 6. Remember to add only the whole numbers and fractions. If you want, you can try using mathaway for additional help.
Hope this helps a little more.
Which of the following are negative reciprocals?
A. 3/4 & -4/3
B. 3/4 & -3/4
C. 3/4 & 4/3
D. 3/4 & 3/4
Answer:
option A is the answer because -4/3 is both negative and reciprocal of 3/4
Answer:
A. 3/4 & -4/3
Step-by-step explanation:
Negative reciprocal is the negative of the value and the numerator/denominator is switched to denominator/numerator.
For example, -7/15.
-7 is the numerator because -7 is above 15. But if we switch that, it will become -15/7. If we turn it from negative to positive or positive to negative, which in this case is negative to positive, since negative x negative is positive, it will become 15/7. I really took the time to explain this, so I hope this helps. =D
Graph the data.
Find and interpret the slope of the line through the points.
p/6 + 5 = 8
Evaluate equation
Answer:
[tex]p=18[/tex]
Step-by-step explanation:
Given the following question:
[tex]\frac{p}{6} +5=8[/tex]
In order to find the answer, we have to subtract five on both sides and then multiply.
[tex]\frac{p}{6} +5=8[/tex]
[tex]5-5=0[/tex]
[tex]8-5=3[/tex]
[tex]\frac{p}{6} =8[/tex]
[tex]\frac{6p}{6} =p[/tex]
[tex]3\times6=18[/tex]
[tex]p=18[/tex]
Hope this helps.
the wheels on a truck are turning at 630 revolutions per minute as the truck travels at 50 miles per hour. What is the radius, in inches, of the wheels of the truck
The radius of the wheel is 140.06 inches
Since the wheels on a truck are turning at 630 revolutions per minute as the truck travels at 50 miles per hour, we need to find the distance mover per revolution.
Distance moved per revolution by wheelSo, distance moved per revolution = speed of truck ÷ revolutions per minute
Speed of truck = 50 miles per hour
Converting to inches per min, we have
= 50 × 63360 in/hr ÷ 1 hr/60 min
= 3168000 in/60 min
= 52800 in/min
revolutions per min = 60 rev/min
So, substituting the variables into the equation, we have
distance moved per revolution = 52800 in/min ÷ 60 rev/min
= 880 in/rev
Circumference of the wheelSince the distance moved per revolution is the circumference of the wheel, C we have that
C = 2πr where r = radius of wheel
Radius of the wheelMaking r subject of the formula, we have
r = C/2π
Since C = 880 in
Substituting the value of the variable into the equation, we have
r = C/2π
r = 880 in/2π
r = 440 in/π
r = 140.06 in
So, the radius of the wheel is 140.06 inches
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Can I get the answer to this? Thank you!
I need help again!! Please hurry!!
Answer:
Given that angle DGC is 90 degrees and is vertical to AGB, they both are congruent so they will both have the same degrees.
So now we know angle AGB is 90 degrees
Angle AGE is 30 degrees, and in total all the angles would be equal to 180 degrees.
Now we just solve for x,
30 + 90 + x = 180
120 + x = 180
-120 -120
x = 60
A negative number is always less than a positive number do you beliece in that statement? why or why not
Answer:
this is true because a negative towards the LEFT of 0, which would be decreasing, and a positive
Is to the RIGHT of 0 making worth more
and asked, "which is more, 0.1 or -0.1 its always the one to the right of 0"
Determine the constant rate of change (slope) of the linear function.
The car, originally valued at $12,975, has been decreasing in value at a constant rate over the past seven years. It is now worth $8600.
Explain what it means in this context.
The change in value (in dollars) will be (x) times as great as the change in the car's age (in years)
Answer:
y = 12975 - 625xStep-by-step explanation:
The ordered pairs are:
(0, 12975) and (7, 8600)Find the slope:
(8600 - 12975)/7 = -625It means the drop in price is $625 each year.
The equation to reflect this situation is:
y = 12975 - 625xHELP!!! Which equation below shows the relationship for the graph?
i dont know how to do this so hElp
Answer:
3.5× c20
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Scores turned in by an amateur golfer at a golf course during 2017 and 2018 are as follows. 2017 Season 72 76 77 75 73 71 73 75 2018 Season 69 68 73 75 83 78 69 77 (a) Use the mean and standard deviation to evaluate the golfer's performance over the two-year period. Compute the mean and standard deviation for the 2017 season. (Round the standard deviation to two decimal places.) mean 74 sample standard deviation Compute the mean and standard deviation for the 2018 season. (Round the standard deviation to two decimal places.) mean 74 sample standard deviation
The given data are the scores turned in by the amateur golfer, from
which the sample standard deviation can be calculated.
Responses:
The mean and sample standard deviation for the 2017 season are;
Mean = 74Sample standard deviation ≈ 2.07The mean and sample standard deviation for the 2018 season are;
Mean = 74Sample standard deviation ≈ 5.26What are the equations for the mean and sample standard deviation?The mean is given by the formula;
[tex]\overline x= \mathbf{\dfrac{\sum \left x_i }{N}}}[/tex]
N = 8
The mean for the 2017 season is therefore;
[tex]\overline x[/tex] = (72 + 76 + 77 + 75 + 73 + 71 + 73 + 75) ÷ 8 = 74
The sample standard deviation is given by the formula;
[tex]s =\mathbf{\sqrt{\dfrac{\sum \left (x_i-\overline x \right )^{2} }{N -1}}}[/tex]
[tex]\sum \left (x_i- \overline x \right )^2[/tex] = 30
N = 8
The sample standard deviation for 2017 season is therefore;
[tex]\sigma =\sqrt{\dfrac{30}{8-1}} \approx \mathbf{2.07}[/tex]
The mean and sample standard deviation for the 2017 season are;
Mean = 74Sample standard deviation ≈ 2.07The mean for the 2018 season is found as follows;
[tex]\overline x[/tex] = (62 + 68 + 73 + 75 + 83 + 78 + 83 + 78) ÷ 8 = 74
The sample standard deviation is given by the formula;
[tex]s=\mathbf{\sqrt{\dfrac{\sum \left (x_i-\overline x \right )^{2} }{N - 1}}}[/tex]
[tex]\sum \left (x_i- \overline x \right )^2[/tex] = 194
N = 8
The sample standard deviation for 2018 season is therefore;
[tex]Standard \ deviation \ for \ the \ 2018 \ seaon, \sigma =\sqrt{\dfrac{194}{8 - 1}} \approx \mathbf{5.26}[/tex]
The mean and sample standard deviation for the 2018 season are;
Mean = 74Standard deviation ≈ 5.26Learn more about the mean and standard deviation here:
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Look at the figure, rectangle FHJM. Find the m
Answer:
74
Step-by-step explanation:
180-106 =74