The equation representing the Manuel's situation is -
y = 10x + 5
What is the general equation of a Straight line?The general equation of a straight line is -
[y] = [m]x + [c]
where -
[m] is slope of line which tells the unit rate of change of [y] with respect to [x].
[c] is the y - intercept i.e. the point where the graph cuts the [y] axis.
The equation of a straight line in point slope form can be also written as-
[tex]y-y_{1}=m\left(x-x_{1}\right)[/tex]
We have the following problem -
Manuel builds and sells wooden crates. He made this table to show how much his crates cost in dollars -
Number of crates (n) 2 4 6 8
Cost ($) $25 $45 $65 $85
We can write the equation as -
y = mx + c
y = {(45 - 25)/(4 - 2)}x + c
y = 10x + c
c = 25 - 10 x 2
c = 5
Therefore, the equation representing the Manuel's situation is -
y = 10x + 5
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Damian wrote the number four and twenty three thousandths as 4.23 describe and correct hi number
The correct representation of four and twenty three thousandths in decimal form is 4.023, not 4.23. The second decimal place represents hundredths and the third decimal place represents thousandths.
Explanation:Damian's notation of four and twenty three thousandths as 4.23 is incorrect. This number should be represented as 4.023. The reason is in the understanding of decimal places. In decimal notation, the first place after the decimal point represents tenths, the second represents hundredths, and the third represents thousandths. Hence, twenty three thousandths is written as 0.023. Damian, therefore, mislocated the decimal point. So, to correct his number, it would be four (the whole number) + twenty three thousandths (0.023) = 4.023.
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Determine the length of the hypotenuse
21^2 + 28^2 = Hypotenuse^2
441 + 784 = 1225
sqrt (1225) = 35
hypotenuse = 35
Fill in blank to show steps in solving the inequality.
-2x + 12 < -4
-2x + 12 - __________ < -4 - _________
-2x < ________________
-2x divided by __________> _______ divided by _______
x > ______________
Answer:
x > 8
Step-by-step explanation:
To isolate the variable, you must follow the order of the operations in reverse: that is, from the sum the opposite operation is the subtraction and from the multiplication the inverse is the division. As first you must undo the sum or subtraction before the multiplication, on both sides of the inequality you subtract 12, with the objective, as it was said, of isolating the variable x using the inverse operations.
-2*x+12 -12 < -4 - 12
Resolving you get:
-2*x < -16
Now, to isolate the variable x, you reapply the inverse operation, in this case the opposite operation of the multiplication. And ou should keep in mind that if the two members of an inequality are multiplied or divided by the same negative number, the resulting inequality changes direction. For this reason you get:
-2x divided by (-2) > (-16) divided by (-2)
Resolving these accounts, you finally get:
x > 8
What percent of a circle is 2/5 of a circle? Explain
2/5 of a circle is equivalent to 40% of the circle. This is determined by multiplying 2/5 by 100%.
Explanation:In the field of
Mathematics
, a circle is divided into an angle of 360 degrees or 100 percent. If we want to find out what percent of a circle is 2/5 of a circle, we need to perform a simple calculation.
Firstly, note that 1 whole circle (or 360 degrees) is equivalent to 100%.
When we say 2/5 of a circle, we are referring to 2/5 parts of the whole circle.
To find out what percent 2/5 of the circle is, we multiply 2/5 by 100%:
(2/5) * 100% = 40%
This means that 2/5 of a circle is 40% of the whole circle.
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Which of the following is an institution that functions much like a business, but does not operate for the purpose of generating profits? a business franchise a nonprofit organization a consumer cooperative a labor union
Answer:
a nonprofit organization
Step-by-step explanation:
A non profit organization is an organization that works with humanitary goals, and has non profit characteristics, they can not have a profit from their activities, but are able to gather money and to pay wages to their employees, they can also receive donations and are exempted from paying some kind of taxes.
round to the nearest centemeter
Rounding to the nearest centimeter involves adjusting a precise measurement to the nearest whole centimeter mark on a measuring tool. Millimeters and centimeters are appropriate units for measuring small objects, and understanding the conversion between these units is important for accurate rounding.
Explanation:When you are asked to round to the nearest centimeter, you are being tasked with adjusting a measurement to reduce its precision to the nearest whole number of centimeters. In the context of using a measuring device such as a meterstick, you typically have the ability to measure in centimeters (cm) as well as millimeters (mm), with 10 millimeters making up 1 centimeter. For example, if you have a measurement that falls between the 1.2 cm and 1.3 cm marks, you will evaluate which of those two centimeters marks is closest to your measurement. If your object's measurement to the nearest millimeter is beyond the 1.25 cm mark (or 12.5 mm), you will round up to 1.3 cm; if it's less, you'll round down to 1.2 cm.
It's important to choose an appropriate unit of measurement based on the size of the object being measured. For an item like a paper clip, a large unit such as kilometers or meters would not be practical. Instead, you'll choose between millimeters and centimeters, which are better suited to small objects. When converting measurements from a smaller unit like millimeters to a larger unit like centimeters, you would divide the number by 10, moving the decimal point one place to the left because there are 10 millimeters in 1 centimeter.
Mr Paul drove to clay and back from drake he drove 312 miles took a break and then drove 244 miles to clay on his trip back to drake from clay he drove 305 miles before he took a break if he drove the same route back how many miles did he drive the second part of his return trip
Which number supports the given conjecture?
If the sum of the digits of a number is divisible by 9, then the number is also divisible by 9.
A.
19
B.
54
C.
87
D.
109
Which of the following rational numbers is equal to 3 point 1 with bar over 1?
1) 22 over 9
2) 24 over 9
3) 26 over 9
4) 28 over 9
Answer: Option 4 is correct.
Step-by-step explanation:
Since we have given that
[tex]\dfrac{3.\bar{1}}{1}[/tex]
so, Let x = 3.1111......... (1)
Now, multiply by 10, we get that
10x = 31.1111.............(2)
Now, subtract (2)-(1)
[tex]10x-x=31.1111...-3.1111............\\\\9x=28\\\\x=\dfrac{28}{9}[/tex]
Hence, Option 4 is correct.
At the market, 8 batteries cost $10 .How much do 6 batteries cost
divide 10 by 8 to get price per battery
10/ 8 =1.25 per battery
now multiply 1.25 x 6 for total
1.25 * 6 = $7.50 for 6 batteries
Given that eight batteries cost $10, six batteries will cost $7.5
How much do 6 batteries cost?Given that;
8 batteries cost $101 battery = ?If 8 batteries cost $10, 1 battery will be;
1 battery = $10 / 8
1 battery = $1.25
Now, given that;
1 battery cost $1.256 batteries = ?If 1 battery cost $1.25, 6 batteries will be;
6 batteries = $1.25 × 6
6 batteries = $7.5
Given that eight batteries cost $10, six batteries will cost $7.5.
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explain how knowing 50 x 4 = 200 helps you find 500 X 400?
How can absolute value help you to understand the size of a quantity? Give an example.
how do you graph y-6=(x+2)
How to multiply fractions
Hello There!
To multiply fractions, you first want to line up the numerator and the denominator together so they line up with each other.
Next, you want to multiply across. This includes multiplying the numerators together and then multiplying the denominators together.
Finally, you want to find the greatest common factor but only if the fraction can be simplified.
That Is How To Multiply Fractions
PLEASE HELP!
Write an algebraic expression for 9 groups of w
It is 9w hope this helps
There is 3/4 of a pizza leftover from the night before. How many 1/8 portions are there
If Dave drove one-third of the distance of his trip on the first day, and 60 miles on the second day, he figured out that he still had 1/2 of the trip to drive. What was the total length, in miles, of his trip?
Question 5 / 5 The homegrown Turkey farm is preparing their Thanksgiving shipment. In one container they can put 8 big turkey boxes or 10 small turkey boxes. They send 96 turkey boxes using more big boxes than small boxes. How many containers did they use?
To find the number of containers used, set up a system of equations using the given information. Solve for the number of big and small boxes used, and then divide the total number of boxes by the number of boxes that can be put in one container to find the number of containers.
Explanation:To find the number of containers used, we need to determine the number of big boxes and small boxes used. Let's assume the number of big boxes used is 'x', and the number of small boxes used is 'y'.
According to the given information, the total number of turkey boxes used is 96. So, we have the equation: x + y = 96.
We also know that in one container, they can put 8 big turkey boxes or 10 small turkey boxes. Using this information, we can create another equation: 8x + 10y = 96.
Solving these two equations will give us the values of 'x' and 'y', which represent the number of big and small boxes used, respectively. Then, we can find the number of containers by dividing the total number of boxes by the number of boxes that can be put in one container.
refer to the equation 3x-6y=18
A create a table of values for at east 4 points
(help plz)
John Took a 5 1/2 mile walk to his friends house. He left at 11 AM and arrived at his friends house at 1 PM
a. What was his average speed of walking
Which set of values could be the side lengths of a 30-60-90 triangle?
Answer:
can we see an example
Step-by-step explanation:
the graph F (x) and its transformation g (x)
which equation correctly models g (x)
Step-by-step explanation:
Answer is the third question
Kayte wants to buy a new sled she has already save 35% of them out she needs what fraction describes this percent
What is the solution of the system? Also if you can, explain please?
Use the elimination method.
−4x−2y=−12
2x+4y=−12
Solve the equation for the variable (solve for the second c)
10c - f= -13 + cd
lana is using a can opener to open a can of soup every time she twists the knob of the can opener the can turns 36 degress
what is true about the solution of x^2 / 2x - 6 = 9 / 6x - 18
[tex] \text{The domain}\\2x-6\neq0\ \wedge\ 6x-18\neq0\to x\neq3\\\\\dfrac{x^2}{2x-6}=\dfrac{9}{6x-18}\\\\\dfrac{x^2}{2(x-3)}=\dfrac{9}{6(x-3)}\ \ \ |\cdot6\\\\\dfrac{3x^2}{x-3}=\dfrac{9}{x-3}\iff3x^2=9\ \ \ |:3\\\\x^2=3\to x=\pm\sqrt3 [/tex]
Answer:
A on edge/e2020
Step-by-step explanation:
What is the measure of angle EXH?
add the 3 angles together:
30 + 30 + 30 = 90
the answer is 90 degrees
Which one is greatest 4 or 4.022
a stem-and-leaf plot shows the shape of data but not individual values true or false
The given statement "a stem-and-leaf plot shows the shape of data but not individual values" is true.
What is a stem-and-leaf plot?A stem-and-leaf plot is a graphical representation of a dataset that shows the distribution of data. It is useful for quickly summarizing and visualizing data, especially for small to moderate-sized datasets.
In a stem-and-leaf plot, the "stem" represents the first digit or digits of the data values, and the "leaves" represent the remaining digits. Each leaf corresponds to a single data value. For example, if the stem is "5" and the leaf is "2", it would represent a data value of 52.
While a stem-and-leaf plot provides information on the shape of the data, such as the range of values and the distribution, it does not show the individual data values directly. Instead, it groups them into bins based on the stem and leaf representation. To get the actual values, one needs to refer to the original dataset.
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