Answer:
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Step-by-step explanation:
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Math Algebra
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At one point on the trip, the miles are recorded as 15,121 when the gas tank is 75% full. Use a ratio equation to determine the miles per gallon the sedan averages. Round your answer to the nearest whole number.
The most common size of a sedan tank is 18.5 gallons. So if it is 75% full, it contains 13.875 gallons of gas. If it recorded a mileage of 15,121 miles, mileage per gallon, therefore, is 1090 rounded off to the nearest whole number.
Given: Gas full tank of a sedan – 18.5 gallons
75% full = 13.875 gallons
Mileage using 13.875 gallons of fuel = 15,121 miles
The mileage per gallon computation using the ratio equation:
Ratio is 15121:13.875 or
X/1= 15121/13.875
13.875x = 15121
X = 15121/13.875
X =1089.80 or 1090 miles per gallon (rounded off)
Find an equation for a line that passes through the point (0, –3) and parallel to another line whose slope is 1.2.
Final answer:
The equation of the line that passes through the point (0, -3) and is parallel to another line with a slope of 1.2 is y = 1.2x - 3.
Explanation:
To find an equation for a line that passes through the point (0, –3) and is parallel to another line with a slope of 1.2, we use the fact that parallel lines have the same slope. Since a line's equation can be written in the form y = mx + b, where m is the slope and b is the y-intercept, and we already know the slope (m = 1.2) and the y-intercept (b = -3, since the line passes through (0, -3)), our equation becomes:
y = 1.2x - 3
This means that any line parallel to one with a slope of 1.2 and passing through (0, -3) will also have a slope of 1.2, but the y-intercept will be unique to the point it passes through.
a jar of coins contains dimes pennies and quarters there are 88 pennies in a jar. There are 5 dimes for every 4 pennies and there are 7 quarters for every 11 dimes how many coins are in the jar? A 180 B 258 C 268 D 350
Answer:
c 268
Step-by-step explanation:
i did the test on the home school time for learning
Each exterior angle of an equilateral triangle has which measure?
Answer:
60 degreesStep-by-step explanation:
What number appears 7 times in the multiplication table?
In a multiplication table, each number from 1 to 12 would appear 12 times corresponding to each multiplier. In a table specific for a single number, that number would repeat 12 times.
Explanation:The question is asking about a number that appears 7 times in a multiplication table. In a multiplication table, numbers 1 through 12 are repeated 12 times, once for each multiplier. However, in a multiplication table between 1 and 10, the number 1 appears multiple times as it is a factor for every other number. As an exception, if we have a multiplication table that is specific to a certain number, for example, the number 7, then number 7 would appear 12 times as it is the constant multiplier for each number in the table.
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The function graphed shows the total cost for a taxi cab ride for x miles.
Select from the drop-down menus to correctly identify the taxi cab ride information provided by the graph.
The slope is
5, 3, 2.5, 0.2
The slope represents
1)the total cost of the taxi ride
2)the total number of miles traveled
3)the cost per miles traveled
4)the initial cost of the ride
The slope of the line between cost of taxi and distance is 2.5 and it represents the cost of taxi per mile of distance travelled.
What is slope of line ?
Slope of line is the angle made by the line from positive x-axis in anticlockwise direction, it also denoted the steepness of the line.
The function graphed shows the total cost for a taxi cab ride for x miles the cost in taxi is shown in y axis and the distance covered by taxi in x axis. Now, to find put the slope we must two coordinates which can be found out from the graph easy by observation as (0,3) and (2,8).
How using slope formula to find the slope of line :
[tex]\begin{aligned}\frac{y_{2}-y_{1}}{x_{2}-x_{1}}&=\frac{8-3}{2-0}\\&=\frac{5}{2}\\&=2.5\end{aligned}[/tex]
It represents the cost of taxi per mile of distance travelled.
Therefore, the slope of the line between cost of taxi and distance is 2.5 and it represents the cost of taxi per mile of distance travelled.
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The test that gives a list of the possible rational zeros of a polynomial function is called the test.
Answer:
rational zero
Step-by-step explanation:
A student’s construction of the perpendicular bisector of is shown below. What is the student’s error?
Which system is represented by the graph?
a. y > 2x
x + 2y ≤ –8
b. y ≥ 2x
x + 2y < –8
c. y < 2x
x + 2y ≥ –8
d. y ≤ 2x
x + 2y > –8
To determine the system of two inequalities which is represented by the graph, you have to do such steps:
1 step. The dashed blue line represents sign > or <. The line has the equation y=2x, then the inequality should be y>2x or y<2x. Since point (-1,1) belongs to the blue shaded region, then the inequallity y>2x is true.
2 step. The solid red line represents sign ≤ or ≥. The line has the equation x+2y=-8, then the inequality should be x+2y≤-8 or x+2y≥-8. Since the origin (0,0) doesn't belong to the red shaded region, then the inequallity x+2y≤-8 is true.
Thus, the system is
[tex]\left\{\begin{array}{l}y>2x\\x+2y\le-8.\end{array}\right.[/tex]
Answer: correct choice is A.
∠1 is a complement of ∠4, and m∠1=33∘m. Find m∠4.
An aluminum recycling center pays0.08 per pound for cans how much will make receive for 21.5 pounds of cans
Eighteen cement squares cover a patio with an area of 40.5m^2. What is the side length of one of the squares
The side length of each of the cement squares is 1.5m. This is calculated by dividing the total area by the number of squares to find the area of each square, and then taking the square root to find the side length.
Explanation:To solve this question, we need to first understand that the total area of the patio equals the sum of the areas of each individual cement square. There are eighteen squares, and the total area is 40.5 square meters. This means that the area of one cement square can be acquired by dividing the total area by the quantity of the squares.
So, the calculation would be 40.5m² / 18, giving us an area of 2.25m² for each square.
Now, since these are squares and all sides of a square are equal, their area is represented by the square of one side length. Therefore, to get the length of one side, we extract the square root of the area.
The calculation is √2.25, which equals 1.5. So, the side length of one of the cement squares is 1.5m.
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Ou can draw a quadrilateral with two sets of parallel lines and no right angles.
a. True
b. False
Which of the following is a function equivalent to f(x) = 5(1.9)3x?
f(x) = 34.29x
f(x) = 5(6.86x)
f(x) = 5(6.86)x
f(x) = 328.51x
The function equivalent to f(x) = 5(1.9)3x is f(x) = 5(6.86)x.
Explanation:The function equivalent to f(x) = 5(1.9)3x is f(x) = 5(6.86)x.
What number gives you the same result when multiplied by 6 as it does when 6 is added to it?
If Michelle walked 5 meters how many inches did she walk
30 POINTS PLEASE HELP! An investment in a savings account grows to three times the initial value after t years.
If the rate of interest is 5%, compounded continuously, t = (blank) years.
Select the postulate that is illustrated for the real numbers.
6 + 0 = 6
The commutative postulate for multiplication
Multiplication by one
The addition inverse postulate
Commutative postulate for addition
The distributive postulate
The additive identity postulate
The multiplication inverse
Answer:
The additive identity postulate
Step-by-step explanation:
6 + 0 = 6
Any number added with zero, we get the same number.
That is, a + 0 = a, where "a" is any real number.
Let's take a = 9, we get
9 + 0 = 9
Let's check out a few more examples:
-9 + 0 = -9
2/3 + 0 = 2/3
22 + 0 = 22
You can see any number added with 0, we get the same number.
Here 0 is additive identity, this is called additive identity postulate.
We are given 6 + 0 = 6 which illustrated by "The additive identity postulate."
Therefore, answer is "The additive identity postulate"
Find the product.
-mnp(3m - 5n + 7p)
-3m + 5n^2+ 7p^2
3mnp - 5mnp + 7mnp
-3mnp + 5mnp - 7mnp
-3m^2np + 5mn^2p - 7mnp^2
If two angles of a triangle are complementary, then the triangle must be
9+7r>r–3≥7r+3
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Find the radius of a circle if a central angle of 3π/2 intercepts an arc of 26.4 centimeters.
0.19 cm
3.14 cm
5.6 cm
Find the measure of a central angle that intercepts an arc of 81.5 cm in a circle whose radius is 16.3 cm.
5 rad16 rad65 radFind the arc length intercepted by a central angle of 3π/4 radians in a circle whose radius is 18.4 inches.
13.8π15.2π24.5πAnswer:
Find the radius of a circle if a central angle of 3π/2 intercepts an arc of 26.4 centimeters.
Ans: 5.6 cm
Find the measure of a central angle that intercepts an arc of 81.5 cm in a circle whose radius is 16.3 cm.
Ans: 5 rad
Find the arc length intercepted by a central angle of 3π/4 radians in a circle whose radius is 18.4 inches.
Ans: 13.8π
Solve the system:
p-3q=-1
-5p+16q=5
a. (2,1)
b.(3,3)
c. (-1,0)
d.(5,2)
Answer: The correct option is
(c) (-1, 0).
Step-by-step explanation: We are given to solve the following system of equations :
[tex]p-3q=-1~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)\\\\-5p+16q=5~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)[/tex]
From equation (i), we have
[tex]p-3q=-1\\\\\Rightarrow p=3q-1~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(iii)[/tex]
Substituting the value of p from equation (iii) in equation (ii), we get
[tex]-5(3q-1)+16q=5\\\\\Rightarrow -15q+5+16q=5\\\\\Rightarrow q=5-5\\\\\Rightarrow q=0.[/tex]
From equation (i), we get
[tex]p=3\times0-1=-1.[/tex]
Thus, the required solution is (p, q) = (-1, 0).
Option (c) is CORRECT.
What transformation takes
f(x)=15x+3 to g(x)=5x+3 ?
Question 1 options:
a horizontal compression by a factor 1/3
a translation 6 units right
a horizontal stretch by a factor of 3
a translation 6 units down
I don't get how to do this please help
the answer is D
the exponent is 8.869 where the 9 is 9/1000, the 6 is 6/100 and the 8 to the right od the decimal point is 8/10
A scuba diver used the expression below to describe his position in relation to sea level.
2 + (–20) + 8
Which statement could describe the diver’s movements?
Starting on a platform 2 feet above sea level, dive down to a location that is 18 feet below sea level, and then rise 8 feet.
Starting on a platform 2 feet above sea level, dive down to a location that is 20 feet below sea level, and then rise 8 feet.
Starting 2 feet below sea level, dive down 20 more feet, and then rise to a location that is 8 feet below sea level.
Starting 2 feet below sea level, dive down 18 more feet, and then rise to a location that is 8 feet below sea level.
Answer:
Starting on a platform 2 feet above sea level, dive down to a location that is 20 feet below sea level, and then rise 8 feet.
Step-by-step explanation:
A scuba diver used the expression below to describe his position in relation to sea level.
2 + (–20) + 8
positive number is the feet above the sea level
negative number is the feet below the sea level (deep)
starting at 2 , 2 feet above sea level then down the sea 20 feet down,
finally rise 8 feet above the sea level
So, Starting on a platform 2 feet above sea level, dive down to a location that is 20 feet below sea level, and then rise 8 feet.
How do you write this number in standard form
15,000+7000+400+9
What three consecutive integers have a sum of 252?
252/3 = 84
84-1 = 83
84+1=85
83 +84 +85 = 252
the numbers are 83, 84, 85
Find the side length of a square with the same perimeter as a equilateral triangle with side 7 cm.
Final answer:
The side length of a square with the same perimeter as an equilateral triangle with side 7 cm is 5.25 cm.
Explanation:
To find the side length of a square with the same perimeter as an equilateral triangle with sides of 7 cm, first calculate the perimeter of the triangle, which is 7 cm x 3 = 21 cm. Since a square has four equal sides, divide the perimeter by 4 to get the side length of the square. Thus, the side length would be 21 cm ÷ 4 = 5.25 cm.