A truck can be rented from company a for $110 a day plus $0.70 per mile, company b charges $80 a day plus $0.80 per mile to rent the same truck. find the number of miles in a day at which the rental costs for company a and company b are the same.
The number of miles for same rental costs are 300 miles.
Let the number of miles be x.
Firstly calculating the cost of Company a -
Total cost = One day cost + Number of miles × Cost per mile
Total cost = 110 + 0.70x
Calculating the cost of Company b -
Total cost = One day cost + Number of miles × Cost per mile
Total cost = 80 + 0.80x
Now, for the same rental cost, we will equate the two expressions. This will calculate the value of x.
110 + 0.70x = 80 + 0.80x
Rearranging the expression -
110 - 80 = 0.80x - 0.70x
Performing subtraction
30 = 0.10x
Shifting the values on other side of equation
x = 30/0.10
Performing division
x = 300
Hence, the rental cost for both companies will be same for 300 miles.
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The ratio of red marbles to blue marbles in a jar is 5:2. The total number of marbles is 21. What is the
smaller amount of marbles in the jar?
Answer:
6
Step-by-step explanation:
A Paralelogram PQRS is rotated 90°
clockwise about the origin to create
paralelogram P'QRS:. Perform the
transformation then give the algebraic
representation.
Q
When we rotate a Parallelogram PQRS of 90 degrees clockwise about the origin, each point of the given figure has to be changed from (x, y) to (y, -x) and graph the rotated figure.
P(x₁, y₁) ⇒ P'(y₁ , -x₁ )
Q(x₂, y₂) ⇒ Q'(y₂ , -x₂ )
R(x₃, y₃) ⇒ R'(y₃ , -x₃ )
S(x₄, y₄) ⇒ S'(y₄ , -x₄ )
The Greek word "parallelogrammon," which means "bounded by parallel lines," is the source of the English word "parallelogram." Thus, a quadrilateral with parallel lines as its borders is referred to as a parallelogram. The opposing sides of this form are parallel and equal. Each of the three primary varieties of parallelograms—square, rectangle, and rhombus—has distinct characteristics.
A unique variety of quadrilateral made up of parallel lines is called a parallelogram. A parallelogram can have any angle between its neighboring sides, but it must have opposing sides that are parallel for it to be a parallelogram. If the opposing sides of a quadrilateral are parallel and congruent, it will be a parallelogram. Consequently, a quadrilateral in which both sets of opposite sides are parallel and equal is referred to as a parallelogram.
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Complete the sentence.
32 g≈ ___ oz
32g = 1.12877oz or 32 grams is equivalent to 1.12877 ounces.
In mathematics, conversion is the process of changing the value of one form or unit to another. It can be changing ones unit of length, weight, volume or even currency to another.
A conversion factor is a number used to change one set of units to another, either by multiplying or dividing.
The sentence states an equality between units of weight: grams and ounces.
From there, we can say that we are asked how many ounces are there in 32 grams.
Converting grams to ounces, we must use the conversion
1 gram = 0.035274 ounces
32 grams = 32 (0.035274 ounces)
32 grams = 1.12877 ounces
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If point A (-5, 9) is reflected across the x-axis, what will be the new coordinates of the image, A'?
please help! I am in the middle of a test! I am offering 30 points.
The new coordinates of the image A' will be (-5, -9).
Here, we are given a point on the cartesian plane- A (-5, 9)
It is reflected along the x axis to form a new point A'
Originally, we can see that the point A will be in the 2nd quadrant as x is negative and y is positive.
Now, when it is reflected across the x axis, the point will shift from the 2nd quadrant to the 3rd quadrant.
In the third quadrant, both x and y values are negative. Thus the coordinates of the reflected point A' will become (-5, -9).
Note that the absolute values of the point will not change when it is reflected. It is only the signs that change.
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QUESTION 1 1. The Geography club at a school collected empty cans of soft drinks for recycling for a period 20 school days. The number of cans collected was recorded and the data is given below: 48 50 52 59 60 68 73 76 76 76 78 79 80 81 82 82 84 91 92 98 1.1.calculate the average nunmber of the cans collected
1.2. Calculate the average number of the cans collected. Determine the median number of cans collected. Determine the lower and the upper quartiles. 1.3. 1.4. Represent the data in a box and whisker diagram. 1.5. Determine the range of the data. C ( au table underne
Answer:
Step-by-step explanation:
write the answer in the simplest form 2/3 x 4/7
Answer:
the answer is 8/21
Step-by-step explanation:
to be sure that it's right 21 can't be divided by 8 and the two numbers don't have an LCD ( Least Common Denominator )
Please please help, I really cant figure this out please I need help
Jamelle performs three separate determinations of the density of a mineral sample. She gets values of 4.58 g/cm3, 4.79 g/cm3, and 4.55 g/cm3.
Calculate the average value of the density of the mineral.
Answer:
Step-b 4.55 g/cmy-step explanation:
If 3x=12, then x=4 What property is it
Answer:
correct
3x4=12
Step-by-step explanation:
Which square root could be the number shown on the number line?
O A. √15
O B. √17
O C. √26
O D. √24
The number shown on the number line could be related to the inexact irrational number √17.
What irrational number is associated with a point on a number line?
In this problem we find the location of a point on a number line, which is related to an inexact irrational number, that is, an irrational number that is not equivalent to any rational number. The point is between two exact irrational numbers, that is, √16 = 4 and √25 = 5.
There are two options: (i) √17, (ii) √24. √24 is close to 5, but √17 is close to 4. Thus, the number shown on the number line could be related to the inexact irrational number √17.
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Approximately what is the circumference of the pizza? (Use pi = 3.14)
Inner to outer is 24 cm
I’m not sure but I think it’s 8 in.; 50.27 in.
A baseball player hits a triple and ends up on third base. each side of length 25.740650945432 m, with home plate and the three bases on the four corners. what is the magnitude of his displacement?
The magnitude of his displacement is 77.221952836296 m
In this question,
A baseball player hits a triple and ends up on third base.
A baseball "diamond" is a square, each side of length 25.740650945432 m, with home plate and the three bases on the four corners.
We need find the the magnitude of his displacement.
The magnitude of his displacement is the distance from home plate to the third base.
the distance from home plate to the third base is
= 3 × 25.740650945432
= 77.221952836296 m
Therefore, the magnitude of his displacement is 77.221952836296 m
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Find the perimeter of triangle ABC rounded to the nearest whole number. A (-1,4) B (2,2) and C (-2,-1)
[tex]~\hfill \stackrel{\textit{\large distance between 2 points}}{d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}}~\hfill~ \\\\[-0.35em] ~\dotfill\\\\ A(\stackrel{x_1}{-1}~,~\stackrel{y_1}{4})\qquad B(\stackrel{x_2}{2}~,~\stackrel{y_2}{2}) ~\hfill AB=\sqrt{(~~ 2- (-1)~~)^2 + (~~ 2- 4~~)^2} \\\\\\ ~\hfill AB=\sqrt{( 3)^2 + ( -2)^2}\implies \boxed{AB=\sqrt{13}} \\\\\\ B(\stackrel{x_1}{2}~,~\stackrel{y_1}{2})\qquad C(\stackrel{x_2}{-2}~,~\stackrel{y_2}{-1}) ~\hfill BC=\sqrt{(~~ -2- 2~~)^2 + (~~ -1- 2~~)^2}[/tex]
[tex]~\hfill BC=\sqrt{( -4)^2 + ( -3)^2}\implies \boxed{BC=5} \\\\\\ C(\stackrel{x_1}{-2}~,~\stackrel{y_1}{-1})\qquad A(\stackrel{x_2}{-1}~,~\stackrel{y_2}{4}) ~\hfill CA=\sqrt{(~~ -1- (-2)~~)^2 + (~~ 4- (-1)~~)^2} \\\\\\ ~\hfill CA=\sqrt{( 1)^2 + (5)^2}\implies \boxed{CA=\sqrt{26}} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{Perimeter}{\sqrt{13}~~ + ~~5~~ + ~~\sqrt{26} ~~ \approx ~~ \text{\LARGE 14}}[/tex]
Solve y- 15 =-3.
A-12
B 12
C-18
D-18
Answer:
B
Step-by-step explanation:
y - 15 = -3
add 15 to both sides to get:
y=12
If f (x) = 2 x + 5 and three-halves are inverse functions of each other and StartFraction 41 Over 8 EndFraction,
The value of the inverse function f⁻¹(8) is [tex]\frac{3}{2}[/tex] .
An inverse function in mathematics is a function that "undoes" another function.
In other words, if f(x) produces y, then y entered into the inverse of f produces x. An invertible function is one that has an inverse, and the inverse is represented by the symbol f⁻¹ .To calculate the inverse of the function f (x) = 2 x + 5 we simply write the function in the form y = 2x + 5 .
Now we solve the equation for x.
∴ y = 2x + 5
or, 2x = y-5
or, x = (y-5)/2
Hence the inverse of the function is given as:
f⁻¹ (x) = (x - 5 ) / 2
Now we have to find the value of f⁻¹ (8).
f⁻¹ (8) = (8-5) / 2
or, f⁻¹ (8) = 3 / 2
Hence the value of f⁻¹ (8) is 3 / 2 .
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Disclaimer: the complete question is:
If f (x) = 2 x + 5 and three-halves are inverse functions of each other and f(x)=2x+5, what is f-1(8)?
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Answer: B
Step-by-step explanation: On Edge 2022
solve the equation 4x -6 = 22
Answer: x=7
Step-by-step explanation: hope this helps!!!
Answer:
x=7
Step-by-step explanation:
Triangle ABC is transformed to triangle A′B′C′, as shown below: A coordinate grid is shown from negative 4 to 0 to 4 on both x- and y-axes. A triangle ABC has A at ordered pair negative 3, 4, B at ordered pair negative 4, 2, C at ordered pair negative 1, 1. A triangle A prime B prime C prime has A prime at ordered pair 3, 4, B prime at ordered pair 4, 2, C prime at ordered pair 1, 1. Which equation shows the correct relationship between the measures of the angles of the two triangles? (1 point) a The measure of angle ABC = The measure of angle A prime B prime C prime b The measure of angle ABC = The measure of angle B prime C prime A c The measure of angle BCA = The measure of angle A prime B prime C prime d The measure of angle BCA = The measure of angle C prime A prime B prime
The correct relationship between the angles of the two triangles is as follows:
Angle measurement BCA = Angle C prime A prime B measurement.What is a triangle?A triangle is a three-sided polygon that is sometimes (but not always) referred to as the trigon. Every triangle has three sides and three angles, which may or may not be the same.So, in an ABC triangle, A is at ordered pair negative 1, 3, B is at ordered pair 0, 1, and C is at ordered pair negative 3, 0.
A triangular shape A prime, B prime, and C prime all have A prime at ordered pair minus 1, minus 3, B prime at ordered pair minus 1, and C prime at ordered pair minus 3, 0.Then,
<BAC = <B'A'C'<ABC = <A'B'C'<ACB = <A'C'B'Angle measurement BCA = Angle C prime A prime B measurement.
Therefore, the correct relationship between the angles of the two triangles is as follows:
Angle measurement BCA = Angle C prime A prime B measurement.Know more about triangles here:
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Number 9. of algebra
Answer:
10. 4x
11. r - 7
Step-by-step explanation:
10.
"a number" refers to any number. Since we don't know the specific number, we use x, a variable, to represent "a number." Then we multiply x by 4.
Answer: 4x
11.
When you decrease a number by 7, you are subtracting 7 from that number.
Answer: r - 7
What is this supposed to mean!?!?!?!?
Answer:
h = V/B
Step-by-step explanation:
[tex]\sf V \div B = h\\Reverse\\h = V \div B[/tex]
Answer:
D. h = V/B
Step-by-step explanation:
"Solve...for h" means get h all by itself on one side of the equation.
V = Bh
Divide both sides by B.
V/B = h
Turn it around and you can see the answer in the choices. D. h = V/B is the correct answer.
HELP !!
Elena and Diego each wrote equations to represent these diagrams. For each diagram decide which equation you agree with, and solve it. You can assume that angles that look like right angles are indeed right angles.
Elena: X=35
Diego: X+35=180
Answer: Diego is correct, and X = 145
Step-by-step explanation:
The line that 35* and x* rest on must equal 180*. Elena cannot be right if we assume this, as 35 + 35 = 70. We must then move onto Diego's formula.
[tex]X + 35 = 180[/tex]
[tex]180 - 35 = X[/tex]
[tex]X = 145[/tex]
Solving this, we would subtract 35 from 180, leaving us with 145*. This must be correct as the solution would give us the total we need.
What is the least common denominator of 5/8 and 1/6
Answer:
24
Step-by-step explanation:
Equivalent fractions with the LCD
5/8 = 15/24
1/6 = 4/24
a marketing firm does a survey to find out how many people use a product. to accomplish this, they select a random sample of one hundred people consumers and record how many use the product.
The given situation is an example of an Observational Study.
What is an Observational Study?In observational studies, the impact of a risk factor, diagnostic test, treatment, or other intervention is observed without an attempt to alter who is or is not exposed to it. There are two categories of observational studies: cohort studies and case control studies.
Cohort study: Any group of people who are connected in some way constitutes a cohort for research purposes. For instance, a birth cohort is made up of all individuals born within a specific period of time. Researchers contrast the outcomes for cohort members who have been exposed to a specific variable with those for cohort members who have not.
Case control study: In this method, researchers choose individuals who already have a health issue (referred to as "cases") and a control group that is similar but free of the issue.
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Which expression demonstrates how the Distributive Property could be used to find the product of 5 and 48?
A. 5 (50) − 2
B. None of these
C. 50 − 5 (2)
D. 5 (50) + 5 (2)
E. 5 (50 − 2) + 5 (2)
HELP ME PLEASEEEE!!!!!
what is the image of the point (4,-8) rotated 90 degrees counterclockwise
Answer:
(8,4)
Step-by-step explanation:
The rule is (x,y) becomes (-y,x)
Which length in cm should be recorded for the red line in the figure above
Answer:
3 ins 2 cm
Step-by-step explanation:
What is the rate of change of the area of a circle with respect to the radius when the radius is 4 in?
The rate of change of the area of circle with respect to radius is: 8π.
What is the rate of change of a function?The rate at which one quantity changes in relation to another quantity is known as the rate of change of a function.
Now,
Area of a circle having radius (=r) is given by: A = πr²
The rate of change of area of the circle will then be given by:
[tex]\frac{dA}{dr}=\pi \frac{d}{dr}(r^{2})=2\pi(r)[/tex]
For r = 4, [tex]\frac{dA}{dr}=2\pi(4)=8\pi[/tex]
Hence, the rate of change of area of the circle when the radius is 8π.
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WILL GIVE 14 POINTS AND BRAINLIEST IF ANSWERED PROPERLY WITH NO SPAM
Answer:
B, C, A
Step-by-step explanation:
B, C, A
5x - 2x + x = 15 [x=3.75]
Answer:
many solutions
Step-by-step explanation:
15=15
- 3x + 6y =- 18 solve for y
Answer:
y = [tex]\frac{1}{2}[/tex] x - 3
Step-by-step explanation:
- 3x + 6y = - 18 ( isolate the term in y by adding 3x to both sides )
6y = 3x - 18 ( divide through by 6 )
y = [tex]\frac{1}{2}[/tex] x - 3
PLEASE HELP !!!!
Using the segment addition postulate, find the value of x.
JK = 3x - 4
KL = 5x + 6
JL = 9x - 8
A. 4
b. 10
c. 18
d. 2
==============================================
Work Shown:
JK + KL = JL
(3x-4) + (5x+6) = 9x-8
(3x+5x) + (-4+6) = 9x-8
8x+2 = 9x-8
8x-9x = -8-2
-x = -10
x = 10
---------------------------------------
Check:
JK = 3x - 4 = 3(10)-4 = 26KL = 5x + 6 = 5(10) + 6 = 56JL = 9x - 8 = 9(10) - 8 = 82JK + KL = 26 + 56 = 82 = JL
Therefore, the answer is confirmed.