Answer:
Thomas needs to pay additional US$ 27 for the 15 extra miles not included in the mileage.
Step-by-step explanation:
1. Let's review the information given to us for solving the question:
Mileage included with the rental = 54 miles
Additional mile over 54 miles = US$ 1 4/5
Distance finally driven by Thomas = 69 miles
2. Let's calculate how much additional money Thomas needs to pay.
Extra miles driven by Thomas = Distance finally driven - Mileage included
Extra miles driven by Thomas = 69 - 54
Extra miles driven by Thomas = 15
Cost of the additional miles = 15 * 1 4/5
Cost of the additional miles = 15 * 1.80 ⇒ 4/5 = 0.80
Cost of the additional miles = 27
Thomas needs to pay additional US$ 27 for the 15 extra miles not included in the mileage.
evaluate the expression 3 4/5x-2 1/2 for x =-10
Answer:
The value of given expression for x = - 10 is - 81
Step-by-step explanation:
Given expression as :
3 [tex]\frac{4}{5}[/tex]x - 2 [tex]\frac{1}{2}[/tex]
Or, 3 + [tex]\frac{4}{5}[/tex]x - 2 - [tex]\frac{1}{2}[/tex]
Or, [tex]\frac{19}{5}[/tex]x - [tex]\frac{5}{2}[/tex]
or, [tex]\frac{38 x - 25}{5}[/tex]
Now for x = - 10
[tex]\frac{38\times (- 10) - 25}{5}[/tex]
Or, [tex]{38\times (- 2) - 5}[/tex]
∴ - 76 - 5
Or, - 81
Hence The value of given expression for x = - 10 is - 81 Answer
(7n + 2)(4n+8)
What is the answer?
Answer:
28 n 2 + 64 n + 16
Step-by-step explanation:
Find all possible values of parameter a such that x^2−|x−a|−|x−1|+3≥0 inequality holds for all real values of x.
Answer:
x ≤ 2
Explanation:
As with equations, there may be instances in which there is no solution to an inequality. Isolate the absolute value by subtracting 9 from both sides of the inequality. The absolute value of a quantity can never be a negative number, so there is no solution to the inequality.
How do you solve 10n - 40
Answer:
10(n-4)
Step-by-step explanation:
10n-40=10(n-4)
If this is what you were asked to find, then that's the answer. Because 10n-40 is just an expression, it's not something you can solve for it, since it's not an equation. So I simplified this expression for you by factoring.
Keisha has a total of 90 coins all of which are either dimes or quarters the total value of the coins is $13.50 find the number of each type of coin
Solve the equation.
-3(y – 5) = 24
CHECK
Answer:
y=3 is the answer to this
Answer:
-3
Step-by-step explanation:
Please help me with this problem! I don't understand!
Determine the equation of a line perpendicular to -6x+9y-12=0 with the same y-intercept as the line defined by -8x+2y-6=0
Answer:
y = -3/2 x + 3
Step-by-step explanation:
If two lines' slopes multiply to get -1, they are perpendicular to each other.
In -6x+9y-12=0, find the slope by converting to slope-intercept form.
Isolate y:
-6x+9y-12=0
-6x+9y = 12
9y = 6x + 12
y = 6/9 x + 12/9
y = 2/3 x + 4/3
The slope in this line is 2/3.
To find the slope of a perpendicular line, find its negative reciprocal. The negative reciprocal is when you switch the top and bottoms numbers and multiply it by -1.
2/3 => -3/2
The slope of the perpendicular line is -3/2.
In -8x+2y-6=0, find the y-intercept by converting to slope-intercept form.
Isolate y:
-8x+2y-6=0
-8x + 2y = 6
2y = 8x + 6
y = 8/4 x + 6/2
y = 2x + 3
Slope-intercept form is y = mx + b, which b is the y-intercept.
The y-intercept is 3.
Substitute the slope and y-intercept values into the equation of a line in slope-intercept form.
y = mx + b
y = -3/2 x + 3
What is the answer to
2(6d+3)=18-3(16-3d)
Answer:
3
d
=
−
36
Step-by-step explanation:
An antique wooden chest has the shape of a rectangular prism. It has a width of 16 inches. Its length is 4 times its height. The
volume of the chest is 4,096 cubic inches. What is the height of the chest?
Considering the dimensions of the given rectangular prism and it's volume, the height of the chest is of 8 inches.
What is the volume of a rectangular prism?The volume of a rectangular prism of width w, length l and height h is given by the multiplication of these dimensions, as follows:
V = lwh
For this problem, the dimensions are given as follows:
w = 16, l = 4h, V = 4096.
Hence the height of the chest can be found as follows:
lwh = 4096
16 x 4h x h = 4096
h² = 4096/64
h² = 64
h = 8.
Hence, the height of the chest is of 8 inches.
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Graph the line represented by the equation. y−3=−12(x+4)
Answer:
equation of the line = y=12x+45 i cant rlly graph it for you
Step-by-step explanation:
y-3 = 12 (x+4)
y-3 = 12x + 48
-3 -3
y=12x + 45
Write the decimal 1.0056 in word form
Answer:
one and fifty six hundred thousandths
Answer:
one and fifty-six ten-thousandths
~ or, simpler ~
one point zero zero five six
Step-by-step explanation: hope this helps :)
If 6 workers paint 6 meters of a fence in 6 hours, how long will it take for 12 workers to paint 12 meters of the fence?
Answer:
2 days & 3 hours
Step-by-step explanation:
Answer: 6hrs
Step-by-step explanation:
PLEASE HELP ASAP!!!
Functions f(x) and g(x) are shown below:
f(x) = x2
g(x) = x2 + 8x + 16
In which direction and by how many units should f(x) be shifted to obtain g(x)?
A.Left by 4 units
B. Right by 4 units
C.Left by 8 units
D. Right by 8 units
Answer:
A. Left by 4 units
Step-by-step explanation:
ƒ(x) = x²
It has a vertex at (0, 0), and the y-axis is the axis of symmetry
g(x) = x² + 8x + 16 = (x + 4)²
You have added 4 to the value of x, so you have shifted the graph four units to the left.
Thus, to make the graphs of ƒ(x) and g(x) coincide, you should shift ƒ(x) left by 4 units.
The diagram below shows ƒ(x) in red and g(x) in green.
There is 1 red gumdrop and 4 green gumdrops in a small jar. Also, 2 pieces of butterscotch candy and 3 pieces of cinnamon
candy are in another jar. If Craig draws one piece of candy from each jar without looking, what's the probability that he will
get a red gumdrop and a piece of butterscotch candy?
Answer:
The probability that he will get a red gumdrop and a piece of butterscotch candy is 2/25
Step-by-step explanation:
The path to find the answer is to find the probability of both things happening and then multiply them. First, there is 1 red gumdrop and 4 green gumdrops in a jar. There are 5 gumdrops total so the probability of choosing a red one is 1/5. Next, there are 2 pieces of butterscotch candy and 3 pieces of cinnamon candy in another jar. There are 5 pieces of candy total so the probability of choosing a piece of butterscotch candy is 2/5. Finally multiply the two probabilities: 1/5 * 2/5 = 2/25.
The probability that Craig will draw a red gumdrop from the first jar and a butterscotch candy from the second jar is 0.08 or 8%.
Explanation:The subject of this problem is probability. Probability refers to the measure of the likelihood that an event will occur in a random experiment. In this specific problem, Craig randomly chooses one candy from each jar. We want to find the likelihood that Craig will choose one red gumdrop and one piece of butterscotch candy.
There are a total of 5 gumdrops in the first jar, with 1 being red. Thus, the probability of choosing a red gumdrop is 1/5. In the second jar, there are a total of 5 pieces of candy, with 2 being butterscotch. As such, the probability of choosing a butterscotch candy is 2/5.
To calculate the total probability, you multiply both probabilities, getting a final probability of (1/5) * (2/5) = 2/25 = 0.08. This means that there is an 8% chance that Craig will draw a red gumdrop and a butterscotch candy.
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What is the ratio of 96 to 20
Answer:
24:5
Step-by-step explanation:
I really need help answer it correctly please please please I need help I can figured it out show your work answer it correctly please please please .
Answer:
This for a science class I am guessing
Step-by-step explanation:
8 A -3×6
9 C 12×5 - 3×6
10 A 15× 120 min
11 D 5×-50
12 A add profit subtract expenses from profit total
13 B 118- 34 then divide by 2
14 A add the two costs
Write the correct numbers in the boxes to complete the area model and the equation shown
4306/9= ___ R___
Answer:
478 R 4
Step-by-step explanation:
The area of a square is a function of its perimeter. Graph the function on a separate sheet of grid paper . Explain wether the function is linear and if the graph is increasing or decreasing .
How do i graph it ? and is the the function linear . Is the graph increasing or decreasing ? PLEASE HELP .
Answer:
Parabola [tex]P^{2}[/tex] = 16A
Non-linear function.
Increasing function.
Step-by-step explanation:
Let a be the side length of a square ,
Then, Perimeter of square (P) = 4a
So, a can be written as a = [tex]\frac{P}{4}[/tex]
Area of square (A) = [tex]a^{2}[/tex] .
So, A = [tex]\frac{P^{2} }{4^{2} }[/tex]
= [tex]\frac{P^{2} }{16 }[/tex]
[tex]P^{2}[/tex] = 16A
It is the equation of parabola. (similar to [tex]y^{2}[/tex] = 4ax)
It is a non - linear function as square of Perimeter is related to Area , not directly Perimeter.
Also, it is a increasing function since as A increases P increases.
Final answer:
The function relating the area of a square to its perimeter is a quadratic function shown by the equation A = P²/16, which is graphed as a parabola. The graph is not linear, and it illustrates that as the perimeter increases, the area increases at an accelerating rate, hence it is always increasing.
Explanation:
To graph the function that relates the area of a square to its perimeter, first understand that the area A of a square is equal to the side length squared (s²), and the perimeter P is four times the side length (4s). These relationships can help us derive the function A = f(P). Here's how you would do it:
Start by expressing the side length s in terms of P: since P = 4s, then s = P/4.Substitute s = P/4 into the area formula: A = s² = (P/4)².Simplify the equation: A = P²/16. This equation shows that the area A is a function of the perimeter P.Plot this function by choosing values for P and calculating the corresponding A. For example, if P = 4, then A = 1; if P = 8, then A = 4, and so on.Plot the points on your graph paper and connect them with a curve.The graph of this function is not linear but a parabola opening upwards because it has the form of a quadratic equation A = P²/16. This means the graph will be an increasing curve as the perimeter increases, the area increases at an accelerating rate. It is important to note that the graph of this function is always increasing, and the rate of increase grows as the value of P increases
6 lb 4 oz − 5 lb 10 oz
Answer:
10oz
Step-by-step explanation:
1 lb = 16 oz, so
(6*16 +4)-(5*16+10)
100-90=
10 oz
First, put both into just ounces. (1lb = 16oz)
6lb 4oz = 100oz.
5lb 10oz = 90oz.
Second, subtract.
100 - 90 = 10oz.
This is the answer. Note that 1lb = 16lb, so we can't put 10oz into pounds.
______
Hence, the answer is 10oz.
______
Best Regards,
Wolfyy :)
Find the area of this rectangle 1.6 inches 8 inches
Final answer:
The area of the rectangle is 12.8 square inches.
Explanation:
The area of a rectangle can be found by multiplying its length by its width. In this case, the length of the rectangle is 1.6 inches and the width is 8 inches. So, the formula for the area is:
Area = length x width
Substituting the given values, we get:
Area = 1.6 inches x 8 inches = 12.8 square inches
Solve the system of equations by graphing where f(x)=5-2x and g(x)=(2/3)x-2. What is the value of x? 0 1 2 3 4
Answer:
The graph is uploaded in the attachment.
The value of x is 2.625.
Step-by-step explanation:
let us plot f(x), g(x) on y-axisso, f(x)=y and g(x)=y.
the first equation can be written as y=5-2xthe general equation of a straight is y=mx+c( where m is the slope and c is the y-intercept )
now comparing given equation with the general equation mentioned above, the slope of first line is -2 and its y-intercept is 5the slope of second equation i.e, y=(2/3)x-2 is 2/3 and its y-intercept is -2.now plot the graph using above information.(y-intercept is the the coordinate of a point where the line intersects y-axis)
(slope is the angle made by the line with the x-axis)
by seeing the graph, the value of x is 2.625.Please explain your answer. Thank you!
Answer:
OPTION A
Step-by-step explanation:
[tex]$ 9r + 2 = \frac{7(r - 5)}{3} $[/tex]
[tex]$ \implies 9r + 2 = \frac{7r - 35}{3} $[/tex]
Multiplying throughout by [tex]$ r $[/tex]we get:
[tex]$ 27r + 6 = 7r - 35 $[/tex]
[tex]$ \implies 20r = -41 $[/tex]
[tex]$ \therefore r = \frac{-41}{20} $[/tex]
OPTION A is the answer.
i need help cause uh i’m dumb
Answer:
$650
Step-by-step explanation:
9100-4500 = 4550
14-7 7
= 650
1
=$650
Does anyone know the answer???
Answer:
3,600 m²Step-by-step explanation:
The formula of a surface area of a sphere:
[tex]SA=4\pi R^2[/tex]
R - radius
We have R = 30m.
Substitute:
[tex]SA=4\pi(30^2)=4\pi(900)=3600\pi\ m^2[/tex]
Write equation of a line that is parallel to x=8 and the passes through the point ( -3, -2)
Answer:
x = - 3
Step-by-step explanation:
x = 8 is the equation of a vertical line parallel to the y- axis.
Thus a line parallel to it will also be vertical with equation
y = c
Where c is the value of the x- coordinates the line passes through
The line passes through (- 3, - 2) with x- coordinate - 3, thus
x = - 3 ← equation of parallel line
There is no equation of a line that is parallel to x=8 and passes through the point (-3, -2).
Explanation:To find the equation of a line parallel to x = 8 and passing through the point (-3, -2), we need to know that a line with an equation x = a is a vertical line passing through the point (a, 0), and it has no slope. Since we need to find a line with the same slope as x = 8, we can set the equation to x = -3, which represents a vertical line passing through the point (-3, 0).
However, this line is parallel to x = 8 rather than passing through the point (-3, -2). Therefore, there is no equation of a line that is parallel to x = 8 and passes through the point (-3, -2).
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Factor the expression.
2x² + 7x - 4
Answer:
11x-4
Step-by-step explanation:
2x^2+7x-4
2x^2= 2x2 =4 x
4x+7x=11x-4
Which of the following is written in correct scientific notation?
A. 809 * 104
B. 80.9 * 104
C. 80.9 * 10-4
D. 8.09 * 104
First, correct answer gets brainiest
which of the following is written in correct scientific notation?
Which measure of variability can be compared using the box plots?
Box plots are useful for comparing the measure of variability in datasets. Specifically, they compare the interquartile range (IQR), which is the range covering the middle 50% of a dataset. This is represented by the box in the plot, and additional info like median and potential outliers are also shown.
In the field of statistics, box plots, also known as box and whisker plots, are useful for comparing the measure of variability in a data set. The specific measure of variability that can be compared using the box plots is called the interquartile range (IQR).
The IQR is the range within which the middle 50% of a dataset falls. It is calculated by subtracting the lower quartile (25th percentile) from the upper quartile (75th percentile). These quartiles are represented on a box plot by the edges of the box, which makes it easier to visually compare the variability of different datasets.Box plots also present additional information like median and potential outliers in the data.
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Miss Garcia is ordering pizza for students in the homework club. A large two-topping Pizza is 20% off the regular price of $15. Miss Garcia wants to know the sale price.What percent of the regular price is the sale price.
Answer:
Sale price is $12 which is 80% of the regular price.
Step-by-step explanation:
A large two-topping Pizza is 20% off the regular price of $15.
Therefore, the sale price is [tex]15(1 - \frac{20}{100} ) = 15 \times 0.8 = 12[/tex] dollars. (Answer)
Now, let us assume that x% of regular price i.e. $15 is the sale price i.e. $12.
So, [tex]\frac{15 \times x}{100} = 12[/tex]
⇒ [tex]x = \frac{12 \times 100}{15}[/tex]
⇒ x = 80% (Answer)
Answer:
15 regular price 20% discount ? sale price and the next answer is 0.8(15) and the sale price gone be 12.
Step-by-step explanation:
I did the I-ready Hope this helps.
0.8(15) answer 12 so thats how I know thats the sale price and they wanted to know what was the sale price. I did the I-ready..Now have a good day at school or whatever.
least to greatest -4.3, -82.5, -41 4/5, -13 1/8
-82.5, -41 4/5, -13 1/8, -4.3
Final answer:
To arrange the numbers from least to greatest, you order them based on their value on the number line, with larger negative values representing smaller quantities. The numbers from least to greatest are -82.5, -41 4/5, -13 1/8, and -4.3.
Explanation:
To arrange the numbers -4.3, -82.5, -41 4/5 (which is -41.8), and -13 1/8 (which is -13.125) from least to greatest, we must compare their values on the number line. Larger negative numbers are those with the greater absolute value or those that are farther from zero in the negative direction.
Focusing on the given numbers:
-82.5 is the largest negative number, so it is the least.
-41 4/5 (or -41.8) is next, being less negative than -82.5.
-13 1/8 (or -13.125) is less negative than both -82.5 and -41.8.
-4.3 is the smallest negative number, so it is the greatest of the negatives.
Therefore, when ordered from least to greatest, the numbers are:
-82.5
-41 4/5
-13 1/8
-4.3