Answer: The answer to this question would be: 5 days
In this question, there are two kinds of rent pricing and you are asked to find the number of days when both of them will charge the same price.
From the description, you can get an equation of each price which would look like this(x=number of day rent):
cost1= 110 + 46x
cost2= 70 + 54x
Then, the days when the price same would be:
cost1 = cost2
110 + 46x= 70+54x
110-70= 54x - 46x
40= 8x
x=5
Step-by-step explanation:
what is the equation of the line shown below
A y=-2/3x+1
B y=2/3x-1
C y=2x-1
D y=6x=4
The equation of the line is option (C) y = 2x - 1
First we have to choose two points
The first point = (1, 1)
The second point = (2, 3)
The slope of the line = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Where m is the slope of the line
[tex](x_1,y_1)[/tex] is the coordinates of first point
[tex](x_2,y_2)[/tex] is the coordinates of the second point
Substitute the values in the equation
Slope of the line = (3-1) / (2-1)
= 2 / 1
= 2
From the graph line is intersecting on y axis at y = -1
The slope intercept form of the line
y = mx + b
where m is the slope of the line
b is the y intercept
Substitute the values
y = 2x - 1
Hence, the equation of the line is option (C) y = 2x - 1
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For f(x)=x+4 and g(x)=3x+2, find the following functions.
Someone please explain how to solve this
The values of the following functions are:
a. (f ºg)(x) = x+2
b. (g º f)(x) = 3x + 14
c. (f º g)(-1) = 3
d. (g º f)(-1) = 11
Given:
f(x) = x+4 and
g(x) = 3x+2
we are asked to determine the following functions:
a. (f º g)(x)
⇒ f(g(x))
⇒ f(3x+2)
⇒ (f º g)(x) = (3x+2)+4
= 3x+6
divide by 3
= x+2
b. (g º f)(x)
⇒ g(f(x))
⇒ g(x+4)
⇒ (g º f)(x) = 3(x+4)+2
= 3x+12+2
= 3x+14
c. (f º g)(-1)
⇒ f(g(-1))
⇒ f(3(-1)+2)
⇒ f(-3+2)
⇒ f(-1)
⇒ (f º g)(-1) = -1+4
= 3
d. (g º f)(-1)
⇒ g(f(-1))
⇒ g(-1+4)
⇒ g(3)
⇒ (g º f)(-1) = 3(3)+2
= 11
Hence we get the required answer.
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Ordered 0.5mg/ kg and supplied 10 mg/ml and weighs 40 kg how many mls do you give
As per the given relation between ordered mg to kg and supplied mg to ml then weighs 40kg is equal to 2ml.
As given in the question,
Relation between mg to kg as per the ordered is given by ,
0.5 mg / kg
⇒ For 1 kg = 0.5 mg
Relation between mg to ml as per the supplied is given by ,
10 mg / ml
⇒ 1 ml = 10 mg
Now for 40 kg weighs the relation is given by,
1 kg = 0.5 mg
⇒ 40 kg = ( 40 × 0.5) mg
⇒ 40 kg = 20 mg ___(1)
And
1 ml = 10 mg
⇒ ( 2 × 1) ml = ( 2 × 10 ) mg
⇒ 2ml = 20mg ____(2)
From (1) and (2) we get ,
For 40 kg weighs we need 2ml.
Therefore, As per the given relation between ordered mg to kg and supplied mg to ml then weighs 40kg is equal to 2ml.
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kims music files takes up 7 gigs of space on her hard drive. about how many bytes is that how many bits is that?
An athlete swings a 7.9 kg ball horizontally on the end of a rope. The ball moves in a circle of radius 0.9 m at an angular speed of 0.27 rev/s.
What is the tangential speed of the ball? Answer in units of m/s.
part 2
What is its centripetal acceleration? Answer in units of m/s2.
this is physics
The tangential speed of the ball is 1.5267
The centripetal acceleration is 2.5897 m/s²
How to solve for the tangential speedMass of the ball is m = 7.90 kg
ball moves in a circle having radius r = 0.9 m
angular speed is ω = 0.27 rev /s
given that 1 revolution = 6.283 rad / sec
0.27 rev / sec = ?
ω = 1.696 rad / sec
a. The tangential speed Velocity = rω
w = 1.696
r = 0.9
= 1.696 * 0.9 m
= 1.5267 m / s
b ) centripetal acceleration a = v² / r
= (1.5267 m/s)^2 / 0.9 m
= 2.3308 / 0.9
= 2.5897 m/s²
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Identify the change in the parent function that will produce the related function shown as a dashed line. f(x) = x
need help with algebra
The values of x that make the equation true are approximately 5.7 and -0.7 .
The given equation is :
[tex]\frac{x+1}{x} = \frac{2}{x-4}[/tex]
Using cross multiplication this can be written as:
or, ( x + 1 ) ( x - 4 ) = 2 x
or, x² + x - 4x - 4 = 2x
Putting all the like terms together.
or, x² + x - 4x -2x - 4 = 0
or, x² - 5x - 4 = 0
Now we will use the quadratic formula to find the values of x :
[tex]{\displaystyle x={\frac {-b\pm {\sqrt {b^{2}-4ac}}}{2a}}\ \ }[/tex]
or, [tex]{\displaystyle x={\frac {5\pm {\sqrt {(-5)^{2}-4(1)(-4)}}}{2(1)}}\ \ }[/tex]
or, [tex]x = \frac{5+\sqrt{41}}{2} , \frac{5-\sqrt{41}}{2}[/tex]
or, x ≈ 5.7 , -0.7
The roots or zeros of the expression, which are also on the left side of the equation, are used to indicate the values of x that satisfy the equation.
There can only be two possible solutions to a quadratic problem. One argues that if there is only one remedy, there are many different causes of the problem. There are only four possibilities: one real double root, two complex solutions that appear to be complex conjugates of one another, two real solutions, or two real solutions if each of the coefficients has a real value.
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Usman graphs a proportional relationship. Leandro graphs a line that passes through the origin. What do you know about the y-intercept of each student’s graph? Explain your answer.
If the graph is passes through the origin then there is no y - intercept on the graph.
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Usman graphs a proportional relationship.
And, Leandro graphs a line that passes through the origin.
Now,
Since, Leandro graphs a line that passes through the origin.
That's mean the graph has no any y - intercept.
Thus, If the graph is passes through the origin then there is no y - intercept on the graph.
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The radius of a circle is 33 cm. What is the area of the circle? Give your answer to 1 d.p.
The area of the circle with radius 33 cm is 3419.5 square centimeters.
According to the question,
We have the following information:
Radius of the circle = 33 cm
We know that the following formula is used to find the area of the circle:
Area of the circle = π[tex]r^{2}[/tex] where r is the radius of the circle
There are two approximate values of π which are 22/7 and 3.14. In this case, we will use the value of π as 3.14.
So, we have the following expression:
Area of the circle = 3.14*33*33
Area of the circle = 3419.46 square centimeters
Rounding it off to one decimal point:
3419.5 square centimeters
Hence, the area of the circle with radius 33 cm is 3419.5 square centimeters.
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The sum of $5400 was borrowed from a bank
at the rate of 10% per annum for 3 years. How much would the simple interest payable would be?
(A) $1800
(B) $540
(C) $1620
(D) $486
The simple interest on $5400 at a rate of 10% per annum for 3 years is $ 1620
Simple interest:The interest on a loan at a fixed rate per annum. The formula used for simple interest is given by
Simple interest (I) = ptr
Where p = principal amount
t = time period
r = rate of interest per year.
Here we have
The sum of $5400 was borrowed from a bank at a rate of 10% per annum for 3 years
Find the simple interest that can be payable
From above observations
Principal amount, P = $5400
Rate of interest = 10% = 10/100 = 0.1
Time period, t = 3 years
The simple interest that can be payable = $5400(3)(0.1) = $ 1620
Therefore,
The simple interest on $5400 at a rate of 10% per annum for 3 years is $ 1620
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Two humitos cout $1500. Complete a table to show the con for 3, 7, and 13 borrins at fest rate
Next, find the cost for a single burrito in each case. What do you notice about the values in this
be
Answer:
I would say the answer is 1500/3/7/13
Step-by-step explanation:
con for 3,7,13 find it divife it by 1500 cost of burrito
6 to the power of -3 as a simplified fraction or integer
Answer:
Step-by-step explanation:
1. Make Words into Math
6 to the power of -3 =
6^-3=
-6*-6*-6=
0.00462962962
Answer:0.00462962962
Which is the solution to the system of equations?
y = 1/8x −1
−5x + 4y = −13
A. (0,−1)
B. (8,0)
C. (1,−7/8)
D. (2,−3/4)
The solution to the system of equations y = 1/8x −1 and −5x + 4y = −13 is (2, −3/4). Option D is correct.
We are given:
y = 1/8 x − 1 ..............equation i.
− 5x + 4y = − 13 ..............equation ii.
We will use the substitution method to solve the given equation.
substitute the value of y from equation i in equation ii, and we will get;
− 5x + 4(1/8 x − 1) = − 13
− 5x + 1/2 x − 4 = − 13
(-10 + 1) / 2 x = -13 + 4
-9/2 x = -9
x = -9 * 2 / -9
x = 2
Put the value of x in equation i, we will get;
y = 1/8 *2 − 1
y = 1/4 - 1
y = 1 - 4 / 4
y = -3 / 4
So, the value of x = 2 and the value of y = -3 / 4.
Thus, the solution to the system of equations y = 1/8x −1 and −5x + 4y = −13 is (2, −3/4). Option D is correct.
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Express the sample proportion as a percent:
Out of 1150 insurance applicants, 837 have no citations on their driving record.
%
Answer:
837/1150=0.727
Or 73%
Step-by-step explanation:
Can someone please find the area of the shape below thank you!
Answer:
43 cm^2
Step-by-step explanation:
Area of the triangle:
A = (1/2) x base x height
A = (1/2) x (2 cm + 4 cm) x 7 cm
A = (1/2) x (6 cm) x 7 cm
A = (1/2) x 42 cm^2
A = 21 cm^2
The area of the triangle is 21 cm^2
Area of the rectangle:
A = length x width
A = 11 cm x 2 cm
A = 22 cm^2
The area of the rectangle is 22 cm^2
Area of the figure = Area of the triangle + Area of the rectangle
Area of the figure = 21 cm^2 + 22 cm^2
Area of the figure = 43 cm^2
Write an equation for the trend line shown on the scatter plot.
Answer:
y = 5x + 15
Step-by-step explanation:
You can pick any two points on the graph that intersect the trend line. For instance (5,40) and (3,30)
Formula for Slope:
[tex]y = \frac{y_2 - y_1}{x_2 - x_1} = \frac{40 - 30}{5 - 3} = \frac{10}{2} = 5[/tex]
y intercept:
[tex]y = 15[/tex]
Equation of a line:
[tex]y = mx + b\\m = slope \\b = intercept \\\\y = 5x + 15[/tex]
** also be cautious of the different scaling of the x and y axis.
Friday: Nabil had $80.50 on a gift card before buying four journals at a bookstore. The bookstore charges 50¢ to use the card. He had $44.00 left on the gift card after buying the journals. If each journal cost the same amount, what was the price of each journal?
Answer:
$9.00 a journal.
Step-by-step explanation:
First off, you can start by subtracting $0.50 from $80.50 because it costs $0.50 to use the card.
You’re left with a new value of $80.00. Since Nabil had $44.00 left over on his card, you can subtract $44.00 from $80.00 to figure out how much he spent.
$80.00
-$44.00
————
$36.00
Since Nabil bought four journals, and they are all equal in cost, you can divide $36.00 by 4 (36/4) and get $9.00.
2. Choose the correct answer to 2,412 ÷ 25. 96 96 R12 97 95 R37
Answer: 96 R12
Step-by-step explanation:
An orchard has 440 orange trees. The number of rows exceeds the number of trees per row by 2. How many trees are there in each row?
Given the number of trees in the orchard, the number of trees in each row is 20 trees.
How to find the number of trees?Assuming that the number of rows is represented as x, the number of trees would be 2 less than the number of rows which makes it:
= x - 2
The number of trees is:
x ( x - 2) = 440
x² - 2x - 440 = 0
Solving for r can then be done quadratically which gives us:
x = (2 ± √(2² - 4(1) (- 440)) / 2 (1)
= 22, and -20
The number of rows in the orchard cannot be negative so the number of rows is 22.
The number of trees is therefore:
= Number of rows - 2
= 22 - 2
= 20 trees
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calculate the sizes of angles marked with letters in the following diagrams, giving reasons for your answers
Given (x – 7)2 = 36, select the values of x. x = 13 x = 1 x = –29 x = 42
Answer:
Unless you wrote the wrong expressions, non of your choice answers are correct!
Step-by-step explanation:
Solve for x:
2 (x - 7) = 36
Divide both sides of (x - 7)×2 = 36 by 2:
(2 (x - 7))/2 = 36/2
2/2 = 1:
x - 7 = 36/2
The gcd of 36 and 2 is 2, so 36/2 = (2×18)/(2×1) = 2/2×18 = 18:
x - 7 = 18
Add 7 to both sides:
x + (7 - 7) = 7 + 18
7 - 7 = 0:
x = 18 + 7
18 + 7 = 25:
Answer: x = 25
Rewrite (55•44)•33 using the
Associative Law of Multiplication.
Rewriting the given term (55.44).33 using the Associative Law of Multiplication, we have 55.(44.33). Therefore, 1st option is correct.
The given terms are written as -
(55.44).33
We have to rewrite the given term using the Associative Law of Multiplication.
According to the Associative Law of Multiplication, the terms or factors can be associated in any expected ways, i.e.,
a(bc) = (ab)c
So, our given term in the question (55.44).33 can be rewritten according to the Associative Law of Multiplication as -
(55.44).33 = 55.(44.33)
Thus, rewriting the given term (55.44).33 using the Associative Law of Multiplication gives us 55.(44.33). Therefore, 1st option is correct.
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Solving a word problem on proportions using a unit rate
Ali made $306 for 17 hours of work.
At the same rate, how many hours would he have to work to make $126?
Point E is added to the given figure so that point E lies on segment BD exactly halfway between points B and D. Which statement correctly compares the angle measures?
Answer:
there is no picture but m∠EBD = m∠EBD would be one of the best one as a guess to what the photo might be
Step-by-step explanation:
Point E is added to the given figure so that point E lies on segment BD and it is exactly halfway between points B and D
Select all symmetries that apply
Which is the best estimate for 2 2/3 × 3 1/4
Aldo is saving money to buy a game. the game cost $18, and so far he has saved one-third of this cost. How much money has Aldo saved
Answer: c=54
Step-by-step explanation:
Can anyone help me with number 2?
Subtract. (−4x − 1) – (6x – 5)
Answer:
-10x+4
Step-by-step explanation:
distribute the minus
-4x-1-6x+5
-10x+4
hopes this helps please mark brainliest
5x−3y=−3
Step 1 of 2 : Determine the slope and the y-intercept (entered as an ordered pair) of the equation above. Reduce all fractions to lowest terms.
The slope of the function 5x − 3y = −3 is 5/3 and the y-intercept of the function 5x − 3y = −3 is 1.
First, let us understand the slope intercept form;
The slope intercept form is simply a way of writing a line's equation so that the slope (steepness) and y-intercept (where the line crosses the vertical y-axis) are obvious.
We know that the slope intercept form of a line is y = mx + c where m is the slope of the line and b is the y-intercept of the line.
We are given;
5x − 3y = −3
- 3y = -5x - 3
3y = 5x + 3
y = 5/3 x + 1
Compare with y = mx + c, we will get;
m = 5/3
b = 1
So, the slope is 5/3 and the y-intercept is 1.
Thus, the slope of the function y = 2 + 34x is 5/3 and the y-intercept of the function y = 2 + 34x is 1.
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