the chart shows the number of miles Zac has driven his car at the end of three years, four years, and five years. if this pattern continues, how many miles would Zack has driven his car at the end of six years?
Answers
First, calculate the change in the total miles from year 3 to year 4 by substracting the total amount of miles in year 3 from the total amount of miles in year 4:
\(47,600-35,700=11,900\)Calculate the change from year 4 to 5 using a similar method:
\(59,500-47,600=11,900\)Notice that there is a common difference of 11,900 miles per year. This means that, if the pattern continues, on year 6 Zac will drive another 11,900 miles. Add 11.900 to the mile count of year 5 to find what the mile count for year 6 will be:
\(\text{Year 6}\rightarrow59,500+11,900=71,400\)Therefore, at the end of six year, Zac has driven his car 71,400 miles.
Related Questions
Explain why In 4 is greater than 1 but is less than 2.
PLEASE HURRY
Answers
Answer:
whats the solution you looking at?
Step-by-step explanation:
4 can be greater than 1 by number wise but also 4 could be -4 or 4 could not add up to the full amount of w for like if you have 4 2 by 2s and 2 16 by 16s 4 would be smaller
It takes 104 pounds of seeds to completely plant an 11 acre field. how many pounds of seeds are needed per acre? Round to the nearest hundredth if necessary.
Answers
In order to find how many pounds of seeds are needed per acre, we just need to divide the 104 pounds of seeds by the 11 acres, so we have the unit rate of pounds of seeds per acre:
\(\frac{104\text{ pounds of seeds}}{11\text{ acres}}=9.4545\frac{\text{ pounds of seeds}}{\text{ acre}}\)Rounding to the nearest hundredth, the answer is 9.45 pounds of seeds per acre.
A rectangle is made up of green and red tiles. The ratio of green tiles to red tiles is 3 : 4. Which of the following could be the number of green tiles in the rectangle?
Answers
The possible number of green tiles in the rectangle can be found to be H. 24.
How to find the number?The number of green tiles and red tiles in the rectangle will need to be expressed as whole number alone.
This means that because the ratio of the green tiles to the red tiles is 3 : 4, number of green tiles should be divisible by 3.
The numbers given are:
= 10 / 3
= 3.33
16:
= 16 / 3
= 5.33
24:
= 24 / 3
= 8
Because 24 is divisible by 3, there must be 24 green tiles in the rectangle.
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The oblique pyramid has a square base.
An oblique pyramid has a square base with a base edge length of 2 centimeters. The vertical height of the pyramid is 3.75 centimeters.
What is the volume of the pyramid?
2.5 cm3
5 cm3
6 cm3
7.5 cm3
Answers
In this case, the base is a square with edge length 2 cm, so its area is B = 2^2 = 4 cm^2. The height of the pyramid is given as h = 3.75 cm.
Substituting these values into the formula, we get:
V = (1/3) * 4 cm^2 * 3.75 cm
V = 5 cm^3
Therefore, the volume of the oblique pyramid is 5 cm^3.
Answer:
5cm^3
Step-by-step explanation:
Round to the nearest cent. $76,028.85614 $76,028.85614 $ (Round to the nearest cent.)
Answers
Answer:
76,028.85610 ! Your welcome :)
Step-by-step explanation:
A company spent 35% of its annual budget building a new machine. How much of the
companies budget was spent on the machine if annual budget is $25,000?
Answers
(25000*.35)
Multiply
PLEASE HELP————————-
Answers
PLS HELP!!!
Find the area of the triangle below.
Be sure to include the correct unit in your answer.
6 yd
13 yd
17 yd
Answers
Answer:
36
Step-by-step explanation:
help please graphing
Answers
Answer:
red: y = 5green: y = -2x +1blue: y = 2x -1yellow: y = -1/2x -1Step-by-step explanation:
You want the equations for the lines shown on the graph.
Slope-intercept formThe slope-intercept form of the equation for a line is ...
y = mx + b
where m is the slope, and b is the y-intercept.
SlopeThe slope of a line is the ratio of its "rise" to its "run". The rise and run are the vertical distance and horizontal distance between two points, respectively. We usually want to choose points that are where the line crosses grid intersections, as this gives the most exact value for the slope.
Red line: There is no rise for any value of run. The slope is ...
m = rise/run = 0/1 = 0
Green line: The green line crosses the y-axis at y = 1, and crosses the next grid intersection to the right at (1, -1). The rise between those points is -2 (2 grid squares down), and the run is 1 (1 grid square to the right). The slope is ...
m = -2/1 = -2
Blue line: The blue line crosses the y-axis at y = -1, and crosses the next grid intersection to the right at (1, 1). The rise between those points is +2 (2 grid squares up), and the run is 1 (1 grid square to the right). The slope is ...
m = 2/1 = 2
Yellow line: The yellow line crosses the y-axis at y = -1, and crosses the next grid intersection to the right at (2, -2). The rise between those points is -1 (1 grid square down), and the run is 2 (2 grid squares to the right). The slope is ...
m = -1/2
Y-Intercept.
The y-intercept is the value of y where the line crosses the y-axis. In the slope-intercept form equation (y=mx+b), this is the value of 'b'. In the previous section, we used those crossings as one of the grid intersections for finding the slope. They are ...
Red: +5Green: +1Blue: -1Yellow: -1EquationsUsing the slope and y-intercept for each line, we can now write the equations:
Red: y = 0x +5 ⇒ y = 5Green: y = -2x +1Blue: y = 2x -1Yellow: y = -1/2x -1__
Additional comment
The slope-intercept form of the equation is not the only possible way to write an equation for a line. There are more than half a dozen other ways an equation for a line can be written. Each will have its use.
Other forms include ...
ax +by = c . . . . . . . standard form
ax +by -c = 0 . . . . . general form
x/a +y/b = 1 . . . . . . . intercept form
y -k = m(x -h) . . . . . point-slope form
Intercept forms don't work well when one of the intercepts is missing. For the red line, the x-intercept is missing. Essentially, the x-terms disappear from the standard, general, and intercept form equations. In the point-slope form, the equation of the red line is y-5=0, since the slope is 0.
help with the question please
Answers
Explain why the probability of rolling a sum from 2 to 12 is 100%. [C:2]
Answers
The probability of rolling a sum from 2 to 12 on 2 dices is 100%
Given the data,
The two dice should be rolled.
Now, there are 36 possibilities that might occur while rolling two normal six-sided dice. The reason for this is that when rolling two dice, the total number of outcomes is the product of the numbers of outcomes for each die, and each die has six potential outcomes (numbers 1 through 6).
The resultant 36 results are as follows:
1-1, 1-2, 1-3, 1-4, 1-5, 1-6
2-1, 2-2, 2-3, 2-4, 2-5, 2-6
3-1, 3-2, 3-3, 3-4, 3-5, 3-6
4-1, 4-2, 4-3, 4-4, 4-5, 4-6
5-1, 5-2, 5-3, 5-4, 5-5, 5-6
6-1, 6-2, 6-3, 6-4, 6-5, 6-6
When using two dice, there are a total of 36 possibilities that might occur.
As a result, the results' total ranges from 2 to 12.
Hence , the probability is 100 %
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Given that lines a and b are parallel:
If m48 = (-x + 13), and
= +
m42 = (9x - 27),
Answers
Answer:
\(x= 9m+69 ,m 48 =− 9m + 316\)
What is the sum of the interior angle
measures of a regular hexagon? Show
or explain how you can use the sum
of the interior angles of a triangle to
determine the answer.
Answers
Answer:
The sum of the interior angle measures of a regular hexagon is 720°.
Step-by-step explanation:
To find the sum of the interior angle measures of a regular hexagon, we can use the fact that any polygon can be divided into triangles. The formula to find the sum of the interior angles of any polygon with n sides is:
Sum of interior angles = (n - 2) × 180°
In the case of a hexagon, n = 6. So, we can plug this value into the formula:
Sum of interior angles = (6 - 2) × 180° = 4 × 180° = 720°
The sum of the interior angle measures of a regular hexagon is 720°.
To explain this using triangles, let's divide the hexagon into triangles. A hexagon can be divided into four triangles by drawing three diagonals from one vertex to the three non-adjacent vertices. Since the sum of the interior angles of each triangle is 180°, and we have four triangles:
Sum of interior angles of hexagon = 4 × 180° = 720°
The sum of the interior angle measures of a regular hexagon is 720°.
what is the perimeter of the square ABCD?
Answers
Answer:
P= 4a would be the answer
Find the amount of tax and the tax rate. Round to two decimal places.
Cost of item: $71
Selling price: $86.45
Tax amount: $
Tax rate: %
Answers
well, the tax amount is simple, it was $71 and it went up to $86.45, that's a 15.45 difference, so that IS the tax amount.
now, if we take 71(origin amount) to be the 100%, what's 15.45 off of it in percentage?
\(\begin{array}{ccll} amount&\%\\ \cline{1-2} 71 & 100\\ 15.45& x \end{array} \implies \cfrac{71}{15.45}~~=~~\cfrac{100}{x} \\\\\\ 71x=1545\implies x=\cfrac{1545}{71}\implies x\approx 21.76\)
How many solutions would there be for the following system of equations?
y = 3x - 5
6x - 2y = 10
A - 1 Solution
B - 2 Solutions
C - No solution
D - Infinitely Many solutions
Answers
The system of equations has infinite solutions.
How many solutions has the system of equations?Here we have the system of equations:
y = 3x - 5
6x - 2y = 10
And we want to see how many solutions this system has.
To see that, we need to rewrite the equations.
Writting the secondin slope-intercept form, we will get:
-2y = 10 - 6x
y = (10 - 6x)/-2
y = -5 + 3x
So the two equations are same line
y = 3x - 5
y = 3x - 5
This means that the system has infinite solutions.
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11-13. Determine the maximum backwash rate and the height of the expanded bed for the sand used in Problem 11-12. 11-12. The rapid sand filter being designed for Laramie has the characteristics shown below. Using the Rose equation, determine the headloss for the clean filter bed in a stratified condition. Depth = 0.75 m Filtration rate = 230 m3/d . m Sand specific gravity = 2.80 Shape factor = 0.80 Stratified bed porosity = 0.50 Water temperature = 5.C Sand analysis U.S. Standard Sieve No. Mass percent retained 8-12 0.00 12-16 0.40 16-20 13.10 20-30 54.50 30-40 30.20 40-50 1.785 50-70 0.015
Answers
The maximum backwash rate is 2300 m3/d and the height of the expanded bed is 0.975 m for the sand used in Problem 11-12.
To determine the maximum backwash rate and the height of the expanded bed for the sand used in Problem 11-12, we need to follow these steps:
Calculate the effective size (d10) and uniformity coefficient (UC) of the sand using the provided sieve analysis.
To calculate the effective size and uniformity coefficient, we first need to calculate the cumulative mass percentage passing through each sieve size:
Sieve Size (mm) Mass Percent Retained Cumulative Mass Percent Retained
8-12 0.00 0.00
12-16 0.40 0.40
16-20 13.10 13.50
20-30 54.50 68.00
30-40 30.20 98.20
40-50 1.785 99.985
50-70 0.015 100.00
Next, we can use these cumulative mass percentages to calculate the effective size and uniformity coefficient:
\(d_{10} = 1.35 \text{ mm}\)
\(UC = \frac{d_{60}}{d_{10}} = \frac{0.6 \text{ mm}}{1.35 \text{ mm}} = 0.444\)
Calculate the headloss for the clean filter bed in a stratified condition using the Rose equation.
The Rose equation for headloss through a stratified bed is:
\(h_{c} = \frac{0.45q}{\sqrt{d_{10}}}\left(\frac{1}{\sqrt{\phi}} - 1\right)^{2}\)
where q is the filtration rate in \(m3/d m, d_{10}\) is the effective size in mm, and \phi is the bed porosity.
Substituting the given values, we have:
\(h_{c} = \frac{0.45 \times 230}{\sqrt{1.35}}\left(\frac{1}{\sqrt{0.5}} - 1\right)^{2} = 1.79 \text{ m}\)
Calculate the height of the expanded bed.
The height of the expanded bed is typically taken as 30% greater than the clean bed height. Therefore, the expanded bed height is:
\(h_{e} = 1.3 \times 0.75 \text{ m} = 0.975 \text{ m}\)
Calculate the maximum backwash rate.
The maximum backwash rate is typically taken as 10 times the filtration rate. Therefore, the maximum backwash rate is:
\(Q_{bw} = 10 \times 230 \text{ m3/d} = 2300 \text{ m3/d}\)
Therefore, the maximum backwash rate is 2300 m3/d and the height of the expanded bed is 0.975 m for the sand used in Problem 11-12.
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Which equation is y = –6x2 + 3x + 2 rewritten in vertex form
Answers
Answer:
14 + 3x
Step-by-step explanation:
6x2= 12
12 + 3x + 2
=14 + 3x
Answer:
y =-6(x-1/4)^2+19/8
Step-by-step explanation:
I hope this helps I don't have an explanation I just got it right on EDG 2021
God Bless You!!!!!
PLS HELP ILL MARK BRAINLIEST
drag a number to each box to complete ordered pairs that are solutions to the equation.
Answers
Answer:
(-4,-6),(-2,-5),(0,-4),(4,-2)
Step-by-step explanation:
(x,y)
x represents the x co-ordinate of a point
y represents the y co-ordinate of a point
Answer:
-6,-2,0,4
Step-by-step explanation:
Since x comes before y in an ordered pair, you would need to find the where the x is, then search for the y number it connects with. For finding the x, use the y part, and look for the numbe it connects with on the graph. In this case youy pairs would be, (-4,-6) (-2,-5) (0,-4) (4,-2). Hope I helped!
Solve the system using the method of your choice.
3x+y=−12x−y=−8
Answers
Answer: x=-5,y=3
Step-by-step explanation: Add the 2 equations together, 3x+x=4x, y+(-y)=0, and -12-8=-20. This leaves us with 4x=-20, so x=-5. Plug x back into the equation, so -5-y=-8, add 5 to both sides so -y=-3, and y=3.
what is the quotient and remainder of 1265/700?
Answers
Answer:
see below
Step-by-step explanation:
the quotient is 1 and the remainder is 565.
Plz help! If you can’t answer all the questions it’s ok just answer at least one but all would be great! You will get a brainly!
Answers
Answer:
1. 1.5 2. 84000 4. 3.9
Step-by-step explanation:
Consider the following data: x 6 7 8 9 10 P(X=x) 0.3 0.1 0.2 0.1 0.3 Step 4 of 5 : Find the value of P(X<9) . Round your answer to one decimal place.
Answers
Answer:A. C and O
Step By Step Explanation: If atoms have similar electronegativities (the same affinity for electrons), covalent bonds are most likely to occur. Because both atoms have the same affinity for electrons and neither has a tendency to donate them, they share electrons in order to achieve octet configuration and become more stable.
The number 0.2 can be written as 2/10, so is it a rational number?
Answers
Answer:
yes it is
Step-by-step explanation:
Hope this helps✨
What is the answer help
Answers
Answer: 162°
Step-by-step explanation:
To find the answer to this question, we need to find what 45% of 360 degrees (a circle) is.
First, a percent divided by 100 becomes a decimal.
45% / 100 = 0.45
Next, "of" means multiplication in mathematics.
0.45 * 360 = 162
The central angle will be 162°.
Angle ADB and CD are straight lines. angle ADC = 5 x angle CDB Work out the size of angle ADC.
Answers
Answer:
Step-by-step explanation:
plss help me for branleist
Answers
Answer: x=67
Step-by-step explanation:
All of the angles add up to 180 for a triangle
38 + 75 + x = 180 >combine like terms (the numbers)
113 + x = 180 >subtract 113 from both sides
x=67
Answer:
x = 67°Step-by-step explanation:
We know that,
\( \sf \: By \: Using \: Angle \: sum \: property \: of \: triangle\)
\( \large \sf \: → x +38° + 75° = 180°\)
\( \large \sf \: → x + 113 = 180°\)
\( \large \sf→ x = 180°- 113°\)
\( \boxed{\large \bf→ x = 67° }\)
Help me please thank you so much
Answers
Answer:
32
Step-by-step explanation:
Multiply the base x height
It will be 8 x 4
And if you multiply it, it should equal to 32 so that means...
The volume of the cylinder is 32.
Pls help ! Find the value of x .
Answers
Answer:
101
Step-by-step explanation:
180-79=101
have a great day
Answer:
the value of x is 101 degrees
ANYONE PLEASE HELP
I'M CONFUSED WITH THIS!!
Write, in words, a situation with the given equation. (Make up your own variables for y and x, that would make the equation true.)
y = 2x
Answers
A word problem that can represent the situation is Jordan is twice as old as his brother
How to determine the word problemFrom the question, we have the following equation that can be used in our computation:
y = 2x
The above equation implies that:
The variable y is twice the variable x
Next, we use the following representations:
y =Jordan's age
x = his brother's age
This means that Jordan is twice as old as his brother
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