Salma can rent the car for at most 5 days while driving 275 miles
Although part of your question is missing, you might be referring to this full question: A rental car company charges $22.50 per day to rent a car and $0.10 for every mile driven. Salma wants to rent a car, knowing that: she plans to drive 275 miles. She has at most $140 to spend. Write and solve an inequality which can be used to determine, the number of days Salma can afford to rent the car while staying within her budget
The equation which addresses this problem is:
22.5x + 0.10(275) <=140
Let x be the number of days Salma can afford to rent the car
Per day rent of the car = $22.5
Cost per mile = $0.10
Plan to drive = 275 miles
Budget with Salma = $140
Equation:
22.5x + 0.10(275) <= 140
Solving the equation we get x <= 5
So, Salma can rent the car for at most 5 days while driving 275 miles
Learn more about inequality:
https://brainly.com/question/20383699
#SPJ4
The vertices of △ABC are (1, 2), (3, 2), and (2, 7), respectively. A sequence of transformations maps △ABC to △DEF. The vertices of △DEF are (4, −4), (6, −4), and (5, 1), respectively.
Is the sequence of transformations mapping △ABC to △DEF an isometry?
Yes. The sequence of transformations is an isometry because it contains only non-rigid transformations.
Yes. The sequence of transformations is an isometry because it contains only rigid transformations.
No. The sequence of transformations is an isometry because it contains only non-rigid transformations.
No. The sequence of transformations is an isometry because it contains only rigid transformations.
Answer:
Yes. The sequence of transformations is an isometry because it contains only rigid transformations.
Step-by-step explanation:
Yes, The sequence of transformations is an isometry because it contains only rigid transformations. Then the correct option is B.
What is a transformation of a point?A spatial transformation is each mapping of feature space to itself and it maintains some spatial correlation between figures.
The vertices of △ABC are (1, 2), (3, 2), and (2, 7), respectively. A sequence of transformations maps △ABC to △DEF. The vertices of △DEF are (4, −4), (6, −4), and (5, 1), respectively.
The rule of the transformation is given as,
(4, -4) ⇒ (1 - x, 2 - y)
Yes, The sequence of transformations is an isometry because it contains only rigid transformations. Then the correct option is B.
The graph of transformation is attached below.
More about the transformation of a point link is given below.
https://brainly.com/question/27224339
#SPJ2
given that 23x-32y =o where x and y are number bases express x in terms of o and y
Expressing x in terms of 0 and y gives x = 0 + (32/23)y
Given the expression 23x-32y = 0 with number bases x and y.
This equation actually expresses 0 in terms of x and y as 0 is isolated to one side of the equality.
We have to express x in the same equation in terms of 0 and y.
So we need to isolate x to one side of the equality.
23x-32y = 0
⇒23x = 0 +32y
Dividing throughout by 23 gives,
⇒ x = 0 + (32/23)y
This is x expressed in terms of 0 and y
Learn more about algebraic expressions at https://brainly.com/question/4344214
#SPJ1
Determine the solutions of the equation:
Absolute value of the quantity one fifth times x plus 2 end quantity minus 6 equals two.
x = −50 and x = 30
x = −30 and x = 50
x = −20 and x = 50
x = 30 and x = 10
Answer:
x = -50 and x = 30
Step-by-step explanation:
Given equation:
[tex]\left|\dfrac{1}{5}x+2\right|-6=2[/tex]
To solve an equation containing an absolute value, isolate the absolute value on one side of the equation:
[tex]\implies \left|\dfrac{1}{5}x+2\right|-6+6=2+6[/tex]
[tex]\implies \left|\dfrac{1}{5}x+2\right|=8[/tex]
Set the contents of the absolute value equal to both the negative and positive value of the number on the other side of the equation, then solve both equations:
Equation 1 (negative value)
[tex]\begin{aligned} &\textsf{Given}: &\dfrac{1}{5}x+2&=-8\\ &\textsf{Subtract 2 from both sides}: \quad & \dfrac{1}{5}x+2-2&=-8 -2\\&\textsf{Simplify}:&\dfrac{1}{5}x&=-10\\ &\textsf{Mulitply both sides by 5}: &5 \cdot \dfrac{1}{5}x&=5 \cdot-10\\&\textsf{Solution}:& x & = -50\end{aligned}[/tex]
Equation 2 (positive value)
[tex]\begin{aligned} &\textsf{Given}: &\dfrac{1}{5}x+2&=8\\ &\textsf{Subtract 2 from both sides}: \quad &\dfrac{1}{5}x+2-2&=8 -2\\&\textsf{Simplify}:&\dfrac{1}{5}x&=6\\ &\textsf{Mulitply both sides by 5}:&5 \cdot \dfrac{1}{5}x&=5 \cdot6\\ &\textsf{Solution}:&x & = 30\end{aligned}[/tex]
Solutions
Therefore, the solutions are: x = -50 and x = 30.
Write the equation of the line that passes through the points (-2,-8) and (9,8).
Put your answer in fully simplified point-slope form, unless it is a vertical or
horizontal line.
Answer:
y = [tex]\frac{16}{11}[/tex]x - [tex]\frac{-56}{11}[/tex]
Step-by-step explanation:
First find the slope. The slope is the change in y over the change in x
[tex]\frac{8 - (-8)}{9 - (-2)}[/tex] = [tex]\frac{8+8}{9+2}[/tex] = [tex]\frac{16}{11}[/tex]
Next, find the y-intercept. Use the slope and one of the points. It does not matter which point that you use. I will use the point (9,8)
y = mx + b
8 = [tex]\frac{16}{11}[/tex](9) + b
8 = [tex]\frac{144}{11}[/tex] + b Subtract 144/11 from both sides
[tex]\frac{-56}{11}[/tex] = b
Can someone please help me?? :(
Answer: D (the bottom right)
Step-by-step explanation: The first problem stated is that Niki scored 20 points (positive) so you would point the arrow directed positively. Then she lost 10 points, which would be negative so the direction of the arrow would point back to a positive 10. Then lost another 25 points, leading to -15 (10+(-25)= -15
the height of the wall is half the length. you know the perimeter of the rectangular wall is 48 feet. What is the area of the wall?
Answer:
128 feet²
Step-by-step explanation:
48 = x + x + 2x + 2x = 6x
x = 8
x × 2x = 8 × 16 = 128
29
Write the answer in the blank.
What number is 260 more than 450?
Answer: 710
Step-by-step explanation:
260 + 450 = 710
Answer:
We are looking for a new number which is 260 more than 450.
We will get the new number by adding 260 to 450.
We write it down as:
450+260=710
And finally the solution for: What number is 260 more than 450?
is 710
All Done!
Not sure how to go about this
98.3 x 104.7
use 2 methods (do on paper please!)
It should be noted that the value of 98.3 x 104.7 will be 10292.01.
How to calculate the value?It should be noted that the first method will be to multiply the values directly. This will be:
= 98.3 x 104.7
= 10292.01
The second method will be to convey them to the nearest while number and multiply. This will be
= 98.3 × 104.7
= 98 × 105
= 10290
Learn more about multiplication on:
brainly.com/question/10873737
#SPJ1
Write down the place
Value of 7 in each of these numbers 78.924531
Answer:
the place value of 7 is =70.000000
Step-by-step explanation:
An isosceles triangle has a base of 14cm and sides of 50cm. calculate its height
A triangle is a 2-dimensional shape that has 3sides and 3 interior angles. The height of the isosceles triangle is approximately 49.5cm
Pythagoras theoremThe theorem states that the square of the hypotenuse is equal to the sum of the square of other two sides.
From the given question, the hypotenuse is 50cm and the base of the triangle is 14cm
Determine the height using the expression
h² = 50² - (14/2)²
h² = 2500 - 7²
h² = 2500 - 49
h = √2451
h = 49.5cm
Hence the height of the triangle is approximately 49.5cm
Learn more on Pythagoras theorem here: https://brainly.com/question/654982
#SPJ1
what is the answer ?
Answer: 64
Step-by-step explanation:
8x=
8(8)=
8*8=64
Answer:
64
Step-by-step explanation:
To solve this equation, we have to plug 8 into x.
Plug 8 into x and multiply
8(8)
= 64
Take care and have a lovely rest of your day! :)
Question 7
Which function below does not have a domain of (-∞0, ∞0)?
○ f(x) = {²+2
²+2,
[4x-1, ifr <1
if x ≥1
O f(x)= 2² +1
Of(x) = √2r-1+4
Of(r) = 3r² - 5x + 2
4.5
Answer:
Step-by-step explanation:
What functions have a domain of (- ∞ ∞?
Which function below does not have a domain of (-∞0, ∞0)?○ f(x) = {²+2²+2,[4x-1, ifr <1if x ≥1O f(x)= 2² +1Of(x) = √2r-1+4Of(r) = 3r² - 5x + 24.5
The domain of any polynomial function (including quadratic functions) is x∈(−∞,∞). Functions of even degree will have a bounded range (from below if the leading coefficient is positive, from above if it's negative), and functions of odd degree will have range y∈(−∞,∞).
Open the file to answer the question
Find the value of t0.05 for a t-distribution with 9 degrees of freedom. round your answer to three decimal places, if necessary.
Answer:
Find the value of t0.05 for a t-distribution with 9 degrees of freedom. round your answer to three decimal places, if necessary.
Step-by-step explanation:
Find the value of t0.05 for a t-distribution with 9 degrees of freedom. round your answer to three decimal places, if necessary.
This is my last question then I’m all set
Answer:
. .......... ok............
help me solve this! (with explanation)
Answer:
a) 512cm³ b) 2 × 2 ×2
Step-by-step explanation:
A CUBE'S LENGTH WIDTH AND HEIGHT ARE EQUAL
a) Volume of a cube = length × width × height
as the length width and height are equal so it will be
8 × 8 × 8 = 512
b) Volume of a cube = length × width × height
as length, width and height are equal lets suppose the value of each of them will be = x
volume = x × x × x
vol = x³
8 = x³
∛8 = x
x = 2
Simplify the expression.
12e +6-2e + 5
Answer:
10e + 11
Step-by-step explanation:
12e + 6 - 2e + 5 ← collect like terms
= (12e - 2e) + (6 + 5)
= 10e + 11
Approximate 5√3 to the nearest tenth.
5 divided by 555.25
In order to figure out who will go first in a game, your friend asks
pick a number between 1 and 25.
you to
a.
What are the possible outcomes?
Answer:
Step-by-step explanation:
There are 25 numbers between and including 1-25, so there are 25 possibilities. The possible outcomes are:
1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25
What is the augmented matrix solution?
Answer:
In linear algebra, an augmented matrix is a matrix obtained by appending the columns of two given matrices, usually for the purpose of performing the same elementary row operations on each of the given matrices.
Step-by-step explanation:
How many planes in the diagram contain point W
There are [tex]Three[/tex] planes in the diagram containing point "W".
As per the question statement, We are given a diagram comprising of various planes and we are supposed to find out the number of planes comprising of point "W".
To solve this question, we should have the knowledge of what exactly is a plane.
Plane: A plane is a two - dimensional doubly ruled surface extended across by two linearly independent vectors.In the given diagram, we can see that the point "W" lies on the plane formed by the following points:
[tex]U-R-W-V[/tex] [tex]R-W-S[/tex] [tex]V-W-S-T[/tex]As Point "W" is common is all the given [tex]Three[/tex] planes hence "3" is the correct answer.
To learn more about planes, click on the link given below:
https://brainly.com/question/14134080
#SPJ9
what is the lcm of 12,27,30
Answer:
The least common multiple of 12, 27 and 30 is 540.
Please mark as brainliest
solve for h pleas
A=1/2bh
h = 2A/b
An equation is a group of expressions formed by using arithmetic operations, along with an equality sign.
Here, we are given an equation, A = 1/2bh
As we are not given any values for any of the variables, we can find the value of h in terms of A and b only.
To do this, we keep h on one side and take all the other terms to the other side of the equation.
A = 1/2bh
Multiplying both sides by 2,
⇒ 2A = 2/2bh
2A = bh
now, dividing both sides by b,
2A/ b = bh/b
2A/b = h
h = 2A/b
Thus, the value of h is 2A/b
Learn more about equations here-
https://brainly.com/question/15602982
#SPJ9
in algebra 1 how do you find 81% of 32
The measure of m/JML is 85°. Select all the true statements.
M
(6x + 2)°
K
(4x+3) °
L
A. m/JMK = 10°
B. m/KML = 11°
C. m/JMK = 50°
D. m/KML = 35°
E. m/JMK - m/KML = m/JML
Answer:
C an D are correct
Step-by-step explanation:
we add the two angles so as to find the value of x,
(6x+2)+(4x+3)=85
10x+5=85
10x=80
x=8
m/JMK=6x+2=6(8)+2=48+2=50°
m/KML=4x+3=4(8)+3=32+3=35°
so only C and D are correct
The measure of the angles ∠JMK and ∠KML will be 50° and 35°, respectively. Then the correct options are C and D.
What is an angle?The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.
The measure of angle ∠JML is 85°. ∠JMK = 6x + 2 and ∠KML = 4x + 3.
We know that the sum of the angles ∠JMK and ∠KML is equal to the angle ∠JML. Then we have
∠JMK + ∠KML = ∠JML
6x + 2 + 4x + 3 = 85°
10x = 80°
x = 8°
Then the angles will be
∠JMK = 6 × 8 + 2
∠JMK = 48 + 2
∠JMK = 50°
∠KML = 4 × 8 + 3
∠KML = 32 + 3
∠KML = 35°
The measure of the angles ∠JMK and ∠KML will be 50° and 35°, respectively.
Then the correct options are C and D.
More about the angled link is given below.
https://brainly.com/question/15767203
#SPJ2
PLEASE HELP FAST PLEASE PLEASE
Answer:
6
Step-by-step explanation:
Because 5×12 is 60
and 1×12 is 12
Add them and you get 72 and 6
Hope this helps!
What is the output of the following command, given that value1 = 2.0 and value2 = 12
if value1 = 2.0 and value2 = 12, then the output of a following command = 24.0
The correct option is A.
Briefing:The output of the given document is issued is 24.0 (2.0 * 12=24, i.e., it is simply the multiplication operation) if both values, i.e., value 1 and value 2, are taken into consideration as decimal data type values.
A simple data type is what, exactly?There is only one value represented by simple data types. Integer: a basic data type used in the creation of policies. A positive or negative whole number is represented by the integer data type. 0, 1, 2, 3, and 4 are examples of integers.
Why do we employ data types?An attribute of data that instructs a computer system how to interpret its value is called the data type. Knowing the different types of data makes it possible to collect information in the desired format and ensure that the values of each property are as expected.
To know more about Data type visit:
https://brainly.com/question/14581918
#SPJ4
I understand that the question you are looking for is:
What is the output of the following command, given that value1 = 2.0 and value2 = 12? print (value+ value2)
A) 24.0
B) value + value2
C) 24
D) 2.0 + 12
An activity on a pert network has these time estimates: optimistic = 2, most likely = 5, and pessimistic = 10. what is its expected activity time?
The expected activity time for the given statement is = 5.33
What time is the PERT network expected to be active?The average amount of time required for an activity when it is repeatedly performed is known as the expected time. The weighted average of the three estimated times, i.e., the optimistic time, the most probable time, and the pessimistic time, is used in project management analysis to determine the expected time of activity.
The PERT system:A network model called the Program Evaluation and Review Technique (PERT) allows for randomness in the timing of activity completion. PERT was created in the late 1950s again for a massively labor-intensive Polaris project for the US Navy. It might shorten a lot of time and cost needed to finish a project.
According to the given information:optimistic = 2
most likely = 5
pessimistic = 10.
We will use the following formula to calculate the anticipated time for each activity in order to solve this problem:
Expected Time = (Optimistic Time + (4 x Most likely) + Pessimistic Time) / 6
Putting the values into formula:
= (2 + (4 x 5) + 10)/ 6
= (2 + 20 + 10) / 6
= 5.33
To know more about PERT network visit:
https://brainly.com/question/17464130
#SPJ4