The ratio of Sara's salary to Alisha's salary is 10:12 or 5:6 if Sara earns a salary of $3,500 per month while Alisha earns $700.
The total salary earned by Alisha per month can be calculated by adding $700 to Sara's salary:
Alisha's salary = Sara's salary + $700
Alisha's salary = $3,500 + $700
Alisha's salary = $4,200
To find the ratio of Sara's salary to Alisha's salary, we divide Sara's salary by Alisha's salary:
Sara's salary / Alisha's salary = $3,500 / $4,200
We can simplify this ratio by dividing both the numerator and denominator by 350:
Sara's salary / Alisha's salary = 10 / 12
Therefore, the ratio of Sara's salary to Alisha's salary is 10:12 or 5:6.
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what are all the units to algebra 1 ?
Answer:
Your question doesn’t make sense homie
Step-by-step explanation:
The city plans a new road that will be parallel to Village Way and pass through the intersection of Gray Dr and Canon Rd. What is the equation of the road in slope-intercept form?
The equation line of the of the road in slope-intercept form is; y = 2·x - 10
What is the standard form of the equation of a line?The standard form of the equation of a line is Ax + Bx + C, where A, B, and C are constants and A and B are nonzero numbers.
The parameters for the new road are;
The road will be parallel to village way with points (0, 5), and (-4, -3)
The road will pass through the intersection of Gray Dr and Canon Rd., which is the point with coordinates (3, -4)
Required; The equation of the road
Since the new road is parallel to Village Way, which has slope;
m = (5 - (-3))/(0 - (-4)) = 8/4 = 2
The slope of the new road will also be 2.
Let the equation of the new road be y = m·x + c, where m = 2 is the slope we just found. To find c, we use the fact that the road passes through the point (3, -4);
y - (-4) = 2 × (x - 3)
y = 2·x - 6 - 4 = 2·x - 10
y = 2·x - 10
Therefore, c = -10
Therefore, the equation of the new road in slope-intercept form, therefore is; y = 2·x - 10
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2
7 pencils cost £4.55.
How much do 3 pencils cost?
Answer:
1.95
Step-by-step explanation:
4.55/7=65
65 cents for 1
65x3=1.95
Brainliest?
which equation could represent a line that is parallel to y=-2x+4
Answer:
y = -2x + z
Step-by-step explanation:
z is a number other than 4.
Please help‼️ domain and range‼️
The domain and the range of the function are (-∝, ∝) and (0, ∝), respectively
Calculating the domain and range of the graph?From the question, we have the following parameters that can be used in our computation:
The graph
The above graph is an exponential function
The rule of an function is that
The domain is the set of all real values
In this case, the domain is (-∝, ∝)
For the range, we have
Range = (0, ∝)
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Tony rounded each of the numbers 1,600 and 1,483 to the nearest thousand. Which choice correctly compares the rounded numbers
Answer:
Step-by-step explanation:
if the number is below 5, go down
if the number is 5 or above, go up
1,600 is closer to 2,000
1,483 is closer to 1,000
Then, 2000 > 1000
Answer:
Brainliest!
Step-by-step explanation:
1600 rounded is 2000
1483 rounded is 1000
let V (T) represent the value of a bank account, and thousands of dollars, T years after the account is open at the bank. Determine whether each statement below is true. Select true or false for each statement.
Answer:
True false false
Step-by-step explanation:
It is found that the Statement 1 is true. The Statement 2 is false. The Statement 3 is true.
What is a function?Function is a type of relation, or rule, that maps one input to specific single output.
Given that V (T) represent the value of a bank account, and thousands of dollars, T years after the account is open at the bank.
The following statements can be considered true or false in the case;
V(0) = 2 means that the value of the bank account when it is opened is; $2000. Thus, it is TRUE
V(5) = 2.2 means that 2.2 years after the bank account is opened, its value is; $5000. Thus, it is FALSE
V(10) – V(5) = 0.4 means that the bank account grows by, $400 between 5 and 10 years after its opening. Thus, it is TRUE
The function takes the form as given below.
V(t) = Value of account.
Hence, The Statement 1 is true.
The Statement 2 is false.
The Statement 3 is true.
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The total marks obtained in a mathematics test was 384 if the mean was 24 how many children took the test
The point (5,1) is equidistant from (1,y) and (10, -3). Determine the value of y. i need help please quicklyyyy
The missing value of y such that the point (1, y) is equidistant from the points (5, 1) and (10, - 3) is - 9.125.
What is the value of the missing coordinate?In this problem we have two points that are equisdistant to a third point, then we must solve the following Pythagorean form:
(1 - 5)² + (y - 1)² = (10 - 1)² + (- 3 - y)²
16 + (y - 1)² = 81 + (- 3 - y)²
(y - 1)² - (- 3 - y)² = 65
(y² - 2 · y + 1) - (9 + 6 · y + y²) = 65
- 8 · y - 8 = 65
y = 73 / - 8
y = - 9.125
The missing value of y such that the point (1, y) is equidistant from the points (5, 1) and (10, - 3) is - 9.125.
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Please help I need this answered. Find x and explain. I’ll give brainliest.
Answer:
I am not positive but I believe X = 6 so the total, if you add it up, would be 180
Step-by-step explanation:
64 + 110 = 174 + 6 = 180
Hope this helps
WILL MARK BRAINLIEST !!! HELP !!! determine the value of x and y that would make a parallelogram 3x-1
Answer:
x=4, y=3.
Step-by-step explanation:
Solving for x,
⟿ 3x-1=11
⟿ 3x=11+1
⟿ 3x=12
⟿ x=12/3
⟿ x=4.
Solving for y,
⟿ 5y=15
⟿ y=15/5
⟿ y=3.
Therefore, x=4 and y=3.
When parking a car in a downtown parking lot, drivers pay according to the number of hours or fraction thereof. the probability distribution of the number of hours cars are parked has been estimated as follows:
a. mean=
b. standard deviation=
the cost of parking is 5 dollars per hour. calculate the mean and standard deviation of the amount of revenue each car generates.
a. mean=
b. standard deviation
col1 x 1 2 3 4 5 6 7 8
col2 p(x) 0.229 0.113 0.114 0.076 0.052 0.027 0.031
0.358
1) a. mean = 4.164 b. standard deviation = 0.7792
2) a. mean = $20.82 b. standard deviation = $3.896
To calculate the mean of the number of hours, we multiply each possible value by its probability and then add them up,
Mean = (1)(0.229) + (2)(0.113) + (3)(0.114) + (4)(0.076) + (5)(0.052) + (6)(0.027) + (7)(0.031) + (8)(0.358) = 4.164
Therefore, the mean number of hours that cars are parked is approximately 4.164.
To calculate the standard deviation of the number of hours, we use the formula,
SD = sqrt[(1/n) * sum(p(x)*(x - mean)^2)]
where n is the sample size, p(x) is the probability of each possible value, mean is the mean of the distribution, and x is each possible value.
Plugging in the values,
SD = sqrt[(1/8) * ((1-4.164)^20.229 + (2-4.164)^20.113 + (3-4.164)^20.114 + (4-4.164)^20.076 + (5-4.164)^20.052 + (6-4.164)^20.027 + (7-4.164)^20.031 + (8-4.164)^20.358)]
SD = sqrt[(1/8) * (2.4212)]
SD = 0.7792
To calculate the mean and standard deviation of the revenue generated per car, we simply multiply the mean and standard deviation of the number of hours by the cost per hour:
Mean revenue per car = 4.164 * $5 = $20.82
Standard deviation of revenue per car = 0.7792 * $5 = $3.896
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The circumference of a circle is 7(pie)cm. What is the area, in square centimeters?
Express your answer in terms of TT(pie).
If circumference of a circle is 7π cm then area of circle is 38.465 square centimeter
The circumference of a circle is 7π cm
We have to find the area of the circle
To find area we have to know the radius
Circumference = 2πr
7π= 2πr
r=7/2
= 3.5 cm
Area of circle = πr²
=3.14×(3.5)²
=3.14×3.5×3.5
=38.465 square centimeter
Hence, if circumference of a circle is 7π cm then area of circle is 38.465 square centimeter
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fig., QR is a common tangent to the given circles,
touching externally at the point T. The tangent at T
meets QR at P. If PT = 3.8 cm,then find the length of QR.
Answer:
QR = 7.6 cm
Step-by-step explanation:
By theorem of tangents drawn from an external point to a circle,
"Tangents drawn from an external point to a circle are equal in measure"
By this property,
PQ = PT = 3.8 cm
And PR = PT = 3.8 cm
Since, QR = PQ + PR [By segment addition postulate]
QR = 3.8 + 3.8
QR = 7.6 cm
The radius of the front wheel of Liz's bike is 54cm. Liz goes for a cycle and travels 54. 82km. How many full revolutions did Liz's front wheel complete?
The number of full revolutions that Liz's front wheel completed is 16,037 full revolutions.
First, we need to find the circumference of the wheel. The formula for the circumference of a circle is C = 2πr, where r is the radius of the circle. In this case, the radius of the wheel is 54 cm, so we can plug that into the formula:
C = 2π(54 cm) = 108π cm
Next, we need to convert the total distance traveled from kilometers to centimeters, so that we can divide by the circumference of the wheel in centimeters.
There are 100,000 centimeters in a kilometer, so we can multiply the distance traveled in kilometers by 100,000 to get the distance in centimeters:
54.82 km * 100,000 cm/km = 5,482,000 cm
Now we can divide the total distance traveled by the circumference of the wheel to find the number of full revolutions:
5,482,000c m / 108π cm = 16,037.35
So, Liz's front wheel completed approximately 16,037 full revolutions.
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help me solve the problem
Answer: search it and i cant see well so sorry
Step-by-step explanation: research
An airline claims that it rarely loses a passenger's checked luggage, and, if checked luggage is lost, 90% of the luggage is recovered and returned to the owner within 24 hours. A consumer group believes the 24-hour recovery rate of lost luggage is actually lower (worse) than the airline's claim. They surveyed a large random sample of the airline's customers and found that 103 of 122 people who had lost luggage were reunited with the missing items within 24 hours. Is this enough evidence to claim the proportion of people who lost luggage with this airline a
The number that corresponds to the null hypothesis and the alternative hypothesis will be 3 and 6 respectively.
What is a null hypothesis?Specify the correct number from the list below that corresponds to the appropriate null and alternative hypotheses for this problem.
It should be noted that the null hypothesis suggests that there's no statistical relationship between the variables.
The alternative hypothesis is different from the null hypothesis as it's the statement that the researcher is testing.
In this case, the number that corresponds to the null hypothesis and the alternative hypothesis will be 3 and 6 respectively.
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A hockey season ticket holder pays $72.48 for her tickets plus $6.00 for a program each game. A secondperson pays $18.08 for a ticket to every game, but doesn't buy programs. In how many games will they havepaid the same amount?O 6O 5O 13O 4
Let x = the number of games. The problem can be rewritten as a system of equations:
Person 1 = 72.48 + 6x
Person 2 = 18.08x
We are looking for when the number of games for both are the same; so:
72.48 + 6x = 18.08x
Then:
72.48 = 18.08x - 6x
72.48 = 12.08x
x = 72.48/12.08
x = 6
is a parallelogram. is the midpoint of . and trisect .
Let ⃗⃗⃗⃗⃗ = ⃗ and ⃗⃗⃗⃗⃗ = . Show your work on the diagram as well.
Answer:
option 6b):) is correct
A rectangle with vertices M(-7, -2), N(-5, -1), O (-2, -7) and P(-4, -8) is rotated 90 degrees counter clockwise about the origin. What are the new locations of the vertices?
Answer: If the figure is rotated 90 degrees counter clockwise about the origin, ... Triangle LMN has vertices L(-1,4), M(-2,4), and N(-1,-1).
Step-by-step explanation:
90 Degrees
Say you are given the graph of the line y = -x. Write the equation of the line that is perpendicular to the given line and goes through the point (-8, 2).
Linear equations are often organized in slope-intercept form: \(y=mx+b\)
m = slopeb = y-interceptTo find a linear equation, we often first solve for the slope, and then solve for the y-intercept algebraically.
To find the slope of a perpendicular line, we must find the negative reciprocal of the slope of the reference line.
Solving the Question
We're given:
Reference line is \(y=-x\)Perpendicular line passes through \((-8,2)\)1) Find the slope of the reference line
We can rewrite the reference line to be clearer in slope-intercept form:
\(y=-1x+0\)
This means that -1 is the slope.
2) Find the slope of the perpendicular line
The negative reciprocal of -1 is 1. Therefore, the slope of the perpendicular line is 1. Plug this into slope-intercept form:
\(y=x+b\)
3) Solve for the y-intercept of the perpendicular line
\(y=x+b\)
Plug in the given point (-8,2) and solve for b:
\(2=-8+b\\b=2+8\\b=10\)
Therefore, the y-intercept of the perpendicular line is 10. Plug this back into our original equation:
\(y=x+10\)
Answer\(y=x+10\)
if i have 900 gallons of gas. how much tank does do we need to fill up 20?
Answer:
the answer is 18000
Step-by-step explanation:
900 gallons multiply 20
so our answer is =18000
Answer:
18000
Step-by-step explanation:
Selecting a US State Choose one of the 50 states at random. a. What is the sample space? [Type your answer here] b. What is the probability that it begins with M? [Type your answer here] c. What is the probability that it doesn't begin with a vowel?
Sample space of randomly selecting a US state is 50, the probability that the US state begins with M is 4/25, and the probability that it doesn't begin with a vowel is 2/5.
a. What is the sample space?The sample space for randomly selecting one of the 50 US states is 50, i.e., the list of the 50 states.
b. What is the probability that it begins with M?The number of states that begin with M is 8. Therefore, the probability that the randomly selected US state begins with M is 8/50 or 4/25.
c. What is the probability that it doesn't begin with a vowel?There are 20 US states that don't begin with a vowel. Therefore, the probability that a randomly selected US state doesn't begin with a vowel is 20/50 or 2/5.
Randomly selecting a US state requires knowing the sample space, which in this case is 50. A sample space represents all possible outcomes of a random experiment. Therefore, the sample space for this problem represents the list of all 50 US states that can be randomly selected. The probability that a randomly selected US state begins with M can be calculated by dividing the number of states that begin with M by the total number of states. There are 8 US states that begin with M, hence, the probability of selecting a state that begins with M is 8/50 or 4/25. Finally, the probability that the randomly selected US state doesn't begin with a vowel is 20/50 or 2/5.
In conclusion, the sample space of selecting a US state randomly is 50, the probability that it begins with M is 4/25, and the probability that it doesn't begin with a vowel is 2/5.
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If volunteers set up a water station every 0.7 km, including one at the finish line, how many stations will they have?
The question is incomplete:
The total distance of a race is 18.9 km.
If volunteers set up a water station every 0.7 km, including one at the finish line, how many stations will they have?
Answer:
They will have 27 stations.
Step-by-step explanation:
In order to find the answer with the information provided, you have to divide the total distance of the race by 0.7 that is the distance at which the volunteers will set up the water stations:
18.9/0.7= 27
According to this, the answer is that they will have 27 stations.
VX
When given a graph, the vertical line test can be used to
determine functionality. Describe the vertical line test and
explain the reasons why a graph would, or would not,
represent a function.
Answer:
The vertical line test can be used to determine whether a graph represents a function. If we can draw any vertical line that intersects a graph more than once, then the graph does not define a function because a function has only one output value for each input value.
.
.
Hope it help you
Answer:
The vertical line test can be used to determine whether a graph represents a function. If we can draw any vertical line that intersects a graph more than once, then the graph does not define a function because a function has only one output value for each input value.
.
Step-by-step explanation:
brainly plz :(
Graph -y + 5x = 0.
Please help
Answer:
Step-by-step explanation:
-y + 5x = 0
-5x -5x
-y = -5x
/ (divide by) -1
y = 5x
or
y = 5/1x
Use rise/run (rise over run)
rise five space and move over one starting at the origin because the y-intercept is 0.
3) You owe a friend $50.60. You pay them back $18.90. How much money do you still owe your friend?
Answer:
31.7
Step-by-step explanation:
Just subtract
378 divided by 5 find the quotient and remainder
When 378 divided by 5 the quotient is 75 and the remainder is 3.
What is the division?The division is one of the basic arithmetic operations in math in which a larger number is broken down into smaller groups having the same number of items.
Given that, dividend =378 and divisor =5.
Now, 378/5
5|378|75
375
______
3
Here, the quotient is 75 and the remainder is 3
Therefore, when 378 divided by 5 the quotient is 75 and the remainder is 3.
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Scarlett made a profit of $250.00 with her mobile car wash company. she charged $75.00 per car wash and received $35.00 in tips, but also had to pay $5.00 in cleaning supplies per car. write an equation to represent this situation
The equation representing the given situation is, 250 = 70x + 35, where x is the number of cars washed by the company.
In the question, we are given that Scarlett made a profit of $250.00 with her mobile car wash company. She charged $75.00 per car wash and received $35.00 in tips, but also had to pay $5.00 in cleaning supplies per car.
We are asked to represent the situation with an equation.
We assume the number of cars washed by the company to be x.
Charge for washing 1 car = $75.00.
Cost for cleaning supplies for 1 car = $5.00.
Thus the profit on the wash of 1 car = $75.00 - $5.00 = $70.00.
The total profit received by the company, on washing x number of cars = $70x.
The tips received = $35.00.
Thus, the total profit of the company = $(70x + 35).
But, the total profit is given to be $250.00.
Thus, we get an equation, 250 = 70x + 35.
Thus, the equation representing the given situation is, 250 = 70x + 35, where x is the number of cars washed by the company.
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a) Make r the subject of EACH of the following formulae:
© r-h=rh