Answer: 264.6 miles
Step-by-step explanation: Let's put the info we got from the problem into an equation. If the car is rented for three days, we need to multiply 27.95 by 3, which will give us 83.85. Now let's use the equation 150=83.85 + 0.25x, where x represents miles. Subtract 83.85 from both sides and we get 66.15 = 0.25x. Now divide both sides by 0.25 and we get x = 264.6.
Answer:
264 miles
Step-by-step explanation:
y = 27.95x + 0.25n where:
y = budget
x = days rented
n = miles driven
150 = 27.95(3) + 0.25n
150 = 83.85 + 0.25n
150 - 83. 85 = 0.25n
66.15 = 0.25n
66.15 / 0.25 = n
n = 264.6 miles
27.95(3) + 0.25(246.6) = $150
If 25 is 30% of a number, what is 130% of that
number?
(a) 83.3
(b) 89.3
(c) 102.3
(d) 108.3
(e) 110.3
Answer:
d
Step-by-step explanation:
Let the number be 'x'.
First find x and then find 130% of x.
30% of x = 25
[tex]\sf \dfrac{30}{100}*x = 25[/tex]
[tex]\sf x = 25*\dfrac{100}{30}\\\\ x = \dfrac{250}{3}\\\\[/tex]
Now, find 130% of x
130% of x = [tex]\sf \dfrac{130}{100}*\dfrac{250}{3}\\\\[/tex]
[tex]\sf = \dfrac{325}{3}\\\\ = 108.3[/tex]
Based on the table below, evaluate f(2)
From the given table, we can see that the value of f(2) is 4
Input and output values in a tableThe input values in a function table are the dependent variables while the output values in a function table are the dependent variables.
Let the function of the table be represented as y = f(x), this shows that the variable x is independent while f(x) is dependent.
In order to determine the value of f(2), we need the output value, when the input value is 2. From the given table, we can see that the value of f(2) is 4
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need help asap please
Answer:
3/30 for 66 lo siento I core help you
Solve the inequality and express your answer in interval notation. x^2+10x+6 <0
The interval where the function is negative is:
(-5 - √19 , -5 + √19)
That is the solution set of the inequality.
How to solve the inequality?Here we have the following inequality:
x^2 + 10x + 5 < 0
So we want to find the values of x for which the quadratic function is negative.
To do so, we can solve:
x^2 + 10x + 5 = 0
The solutions are given by the quadratic formula:
x = (-10 ± √(10^2 - 4*6))/(2*1)
x = (-5 ± √19)
notice that the quadratic has positive leading coefficient, so it open upwards, then the function is below zero between the two roots, on the interval:
-5 - √19 < x < -5 + √19
Then the correct option is D.
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Please I need help !!!!
A--->A'=(-2,6)
B--->B'=(7,3)
The mean of the commute time to work for a resident of Boston is 27.1 minutes. Assume that the standard deviation of the commute time is 8.3 minutes.
a) What is the minimum percentage of commuters in Boston has a commute time within 2 standard deviation of themean?
b) What minimum percentage of commuters in Boston has a commute time within 1.6 standard deviation of the mean?
c) What are the commute times within 1.4 standard deviation?
a) The minimum 75% of commuters in Boston has a commute time within 2 standard deviation of the mean.
b) The minimum 60.93% of commuters in Boston has a commute time within 1.6 standard deviation of the mean.
c) Commute times within 1.4 standard deviation are lie between 15.48 to 38.72.
Explanation:
Given that
The mean of the commute time to work for a resident of Boston is 27.1 minutes.the standard deviation of the commute time is 8.3 minutes.To find
a) What is the minimum percentage of commuters in Boston has a commute time within 2 standard deviation of the mean?b) What minimum percentage of commuters in Boston has a commute time within 1.6 standard deviation of the mean?c) What are the commute times within 1.4 standard deviation?So, according to the question
We know that
The minimum percentage within k standard deviations of the mean,= (1- [tex]\frac{1}{k^2}[/tex] )×100
a) What is the minimum percentage of commuters in Boston has a commute time within 2 standard deviation of the mean?
The minimum percentage within 2 standard deviations of the mean,= (1- [tex]\frac{1}{2^2}[/tex] )×100
= (1- [tex]\frac{1}{4}[/tex] )×100
= ( [tex]\frac{4-1}{4}[/tex] )×100
= [tex]\frac{3}{4}[/tex] ×100
= 3 × 25
= 75%
b) What minimum percentage of commuters in Boston has a commute time within 1.6 standard deviation of the mean?
The minimum percentage within 1.6 standard deviations of the mean,= (1- [tex]\frac{1}{1.6^2}[/tex] )×100
= (1- [tex]\frac{1}{2.56}[/tex] )×100
= ( [tex]\frac{2.56-1}{2.56}[/tex] )×100
= [tex]\frac{1.56}{2.56}[/tex] ×100
= 1.56 × 39.06
= 60.93%
c) What are the commute times within 1.4 standard deviation?
Within 1.4 standard deviations,commute times = 27.1 ± (1.4×8.3)
= 27.1 ± 11.62
for + sign,
= 27.1 + 11.62
= 38.72
for - sign,
= 27.1 - 11.62
= 15.48
Commute times within 1.4 standard deviation are lie between 15.48 to 38.72.To learn more about standard deviation and mean, please click on the link:
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Given the function g(x)=11x^2+28x, solve for g(x)=−12.
Answer: -2, -6/11
Step-by-step explanation:
[tex]11x^2 +28x=-12\\\\11x^2 +28x+12=0\\\\(11x+6)(x+2)=0\\\\x=-2, -6/11[/tex]
simplify (2^4)^-1. Answer options: 1 over 2^-4, 1 over 2^4, -2^4, and 2^3
[tex]\frac{1}{2^{4} }[/tex] is simple form of the equation.
What in mathematics is a linear equation?
There are only one or two variables in a linear equation. No variable can be multiplied by a number larger than one or used as the denominator of a fraction in a linear equation. All of the points fall on the same line when you identify the values that together make a linear equation true and plot those values on a coordinate grid.A linear equation with one variable is one that contains just one variable. It has the formula Ax + B = 0, with A and B being any two real numbers and x being an ambiguous variable with only one possible value. One such linear equation in one variable is 9x + 78 = 18.Simply solve this equation = [tex](2^{4}) ^{-1}[/tex]
multiply the powers = [tex]2^{-4}[/tex]
now right on simple form = [tex]\frac{1}{2^{4} }[/tex]
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Solve for x.
x^2 = a
a>0
Answer:
x<0; x>0
Step-by-step explanation:
Basically, anything but zero, depending on what a is.
Answer:
x = ± [tex]\sqrt{a}[/tex]
Step-by-step explanation:
x² = a ( take square root of both sides )
x = ± [tex]\sqrt{a}[/tex]
Need ALL answers asap in four proofs
You get all of them right you get brainly!!!
Answer:
me not soluesan match huiudresst
-6(2x+4)+1/2(8+3x)=-20
Can you please help with this.
7. Ln(x)=y (log(x)) what is y? show your work.
Polygon B is a scaled copy of Polygon A using a scale factor of 5. Polygon A's area is what fraction of Polygon B's area?
Polygon A's area is 1/25 times of Polygon B's area.
What do you understand by polygon?In geometry, a polygon is a two-dimensional closed shape with straight sides that is flat or plane. It doesn't have any curved edges.
A polygon's sides are also known as its edges. The vertices (or corners) of a polygon are the points where two sides meet.Polygons are named after the number of sides they have. Polygons are commonly represented by the symbol n-gon, where n indicates the number of sides.A 5-sided polygon is called a 5-gon, a ten-sided polygon is called a 10-gon, and so on.Now, as per the given question;
The formula of the scale factor is given as;
Area of Polygon B = (scale factor)²×(Area of Polygon A).
The scale factor is given as 5.
(Area of Polygon B) = (5)²×(Area of Polygon A)
Further simplifying;
(Area of Polygon B) = (25)×(Area of Polygon A)
or,
Area of Polygon A = (1/25)×Area of Polygon B
Therefore, the area of polygon A is found to be 1/25 times times the area of the polygon B.
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How many bacteria are in the Petri dish after 120 minutes ?
Answer:
D. [tex]2^9[/tex]
Step-by-step explanation:
[tex]2^6*2^3 = 2^9[/tex]
We can just add the exponents together.
If it were continued another 120 minutes past this, it would be
[tex]2^9*2^3 = 2^1^2[/tex]
For a body falling freely from rest (disregarding air resistance), the distance the body falls varies directly as the square of the time. If an object is dropped from the top of a tower 192 feet high and hits the ground in 8 seconds, how far did it fall in the first 4 seconds?
The distance covered by the falling freely body from rest will be 48 feet.
What is kinematics?The study of motion without considering the mass and the cause of the motion.
When a body falls freely from rest, the distance it travels straight changes as the square of the time (air resistance excluded). If something is dropped 192 feet from the summit of a tower, it lands on the ground in 8 seconds.
We know that the acceleration is due to gravity (g = 32 ft/s²).
d ∝ t²
d/t² = constant
Then the distance covered by the falling freely body from rest will be given as,
d / 4² = 192 / 8²
d / 16 = 192 / 64
d = 16 x 192 / 64
d = 48 feet
The distance covered by the falling freely body from rest will be 48 feet.
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How to find the slope of the line that passes through the points (−2,3) and (5,−7)
Answer:
[tex]\frac{-10}{7}[/tex]
Step-by-step explanation:
Use the formula
m= [tex]\frac{y2-y1}{x2-x1}[/tex]
another way to say this is Δy divided by Δx
Δ means "change in"
m = slope
The y2 value is -7
The y1 value is 3
The x2 value is 5
The x1 value is -2
Plug those values in the formula
m = [tex]\frac{(-7)-3}{5-(-2)}[/tex]
Simplify
m = [tex]\frac{-10}{7}[/tex]
The slope is [tex]\frac{-10}{7}[/tex]
Solve the following compound inequality. Graph the solution.
5x2-30 and 5x ≤ 15
What is the solution? Select the correct answer below and, if necessary, fill in the answer boxes within your choice.
OA. xs
OB. xs
OC. x2
OD. SXS (Type integers or decimals.)
E. The compound inequality has no solution.
OF. The solution is all real numbers.
XXXB
or x2 (Type integers or decimals.)
(Type an integer or a decimal.)
(Type an integer or a decimal.)
The solution to the inequality is x ≤ 3
How to solve the compound inequality and graph the solution?The compound inequality is given as:
5x ≤ -30 and 5x ≤ 15
Divide both sides of the individual inequality in the compound inequality by the coefficient of the variable x
So, we have
x ≤ -6 and x ≤ 3
One of the above inequalities can be true
x ≤ 3 is a proper set of x ≤ -6
So, the solution to the inequality is x ≤ 3
See attachment for the graph of the inequality
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Find the area of the polygon with the given vertices.
K(-3, 4), L(1, 4), M(-4,-2), N(0, - 2)
Answer: 24.33 units
Step-by-step explanation: If we appropriately measure the distance between the points we can depict a parallelogram with 2 sides measuring 6.083 units and 2 others measuring 4 units. We multiply 4 x 6.083 and get the area: 24.33 units
Answer: 24
Step-by-step explanation: As the formula to solve this equation is A= 1/2 | [(x1y2) - (x2y1)] + [(x2y3) - (x3y2)] + [(x3y4) - (x4y3)] + [(x4y1) - (x1y4)]
Which would be (with the numbers)
[(-3 x 4) - 1 x 4)] + [(1 x -2) - (0 x 4)] + [(10 x 2) - (-4 x -2)] + [(-4 x 4) - (-3 x -2)]
which lowers down too
(-12 - 4) + (-2 - 0) + (0 - -8) + (-16 - 6)
Then that gets us (absolute values) of
|-16| + |-2| + |8| + |-22|
using absolute values that gets us to
16 + 2 + 8 + 22
Which is equal to 48.
Don't forget to divide by 2 because we need half of it as it says in the beginning of the formula (A = 1/2)
So that gives us the answer of 24.
Hope this helped :)
Also, this could help by labeling each coordinate as a (X, Y) Number
[-3(x1) , 4(y1)} (you could write the x and y part above it)
And then you go down the list and label each as either x1 , x2 , x3 , x4 (for the left side of comma) and then y1 , y2, y3 , y4 (for the right side of the comma)
6. Reggie went to the grocery
store and purchased several
items. The cereal he bought cost
$2.10, which was twice as much as
the eggs. What was the price of the
eggs?
Solve for x.
A=x+y-2
Answer:
x=1
Step-by-step explanation:
Tanner bought 7 pieces of bubble gum for 56¢. Write
and solve an equation to find g, the cost of one piece of bubble gum
Answer: 8 = g
Step-by-step explanation:
56 divided by 7 = g
8 = g
32006 in standard form
Answer:
the answer is 3.456 × 108
Michael is grocey shopping. Before adding fruit to the bag, it weighed 5/9 pounds. Michael added 2/15 pounds of fruit to the bag. How much does it weigh now?
Answer:
31/45 lb
Step-by-step explanation:
You want to know the weight of a 5/9 lb bag after 2/15 lb of fruit are added to it.
Sum of fractionsFractions can be added when they have a common denominator. Here, the denominator will need to have factors of 3² = 9 and 3·5 = 15. It can be ...
3·3·9 = 45
Using this denominator, the fractions are ...
bag weight = 5/9 lb = 25/45 lb
fruit weight = 2/15 lb = 6/45 lb
The total weight of the fruit and the bag is ...
total weight = 25/45 lb + 6/45 lb = 31/45 lb
With the fruit, the bag weighs 31/45 pounds.
Sand will be placed under the base of a circular pool with a diameter of 14 feet. 1 bag of sand covers about 3 square feet. How many bags of sand are needed? Use 3.14 for pi. Round bags up.
Number of bags of sand needed to cover the area of circular pool is 51 bags.
What is a circle?A circle is a round-shaped figure that has no corners or edges.
Now it is given that,
Diameter of pool, D = 14 feet
So, Area of pool = π(D/2)²
⇒ Area of pool = π(14/2)²
⇒ Area of pool = π(7)²
⇒ Area of pool = 153.86 square feet
Now given Area of 1 bag = 3 square feet
So, number of bags required = Area of pool / Area of 1 bag
⇒ number of bags required = 153.86/ 3
⇒ number of bags required = 51.28
⇒ number of bags required ≈ 51
Thus, Number of bags of sand needed to cover the area of circular pool is 51 bags.
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Write each binary number as a base-ten number. 111110
In 1985, there were 326,030 cell phone subscribers in the United States. By 2008, the number of cell phone subscribers increased to 262,359,000. What is the geometric mean annual increase for the period?
33.7618% is the geometric mean annual increase for the period
Rate of Increase Over Time(GM)=[tex]\sqrt[n]{value end period / value start period }[/tex] -1
In 1985, there were 326,030 cell phone subscribers in the United States. By 2008, the number of cell phone subscribers increased to 262,359,000. we have to find the geometric mean annual increase for the period
from 1885 to 2008 that is (2008- 1885=23 ) in 23 years the GM become
therefore n= 23
value of start period = 326030
value of end period = 262359000
rate of increase over time GM= [tex]\sqrt[23]{262359000/326030} -1[/tex]
= 1.337618 -1
=0.337618
rate of increase is 33.7618% per year
33.7618% is the geometric mean annual increase for the period
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What is a sticker price of higher education
Sticker price refers to the published tuition and fees, whereas net price refers to the amount the student actually pays after financial help which is much lower than the sticker price.
Sticker priceThe sticker price of a college education is the entire annual cost. This cost covers the whole cost of tuition every year, books, lodging, and board, as well as any other charges the campus may levy, such as a parking permit or library card fee.
In this report, there are two prices listed: a sticker price and a net price. The sticker price of a college education is the entire annual cost. Every year's full tuition, books, housing, and board are included in this amount.
Hence sticker price refers to the published tuition and fees
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a angle measures 10.8 more than the measure of its complementary angle what is the measure of each angle
Suppose you need 6.0m of Grade 70 bow chain, which has a diameter of 3/8" and weighs 2.16 kg/m to tow a car How would you calculate theme of this much chain
The mass of the tow chain will be equal to 12.96 kg.
What is an expression?The mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.
Given that 6.0m of Grade 70 bow chain, which has a diameter of 3/8" and weighs 2.16 kg/m.
The mass of 1 m chain = 2.16 kg
Mass of 6-meter chain = 2.16 x 6
Mass of 6-meter chain = 12.96 kg
Therefore, the mass of the tow chain will be equal to 12.96 kg.
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