It will take 4 hours for both companies to equal the same price and it will cost $ 90 at that time.
There are two companies:
Company A-
It charges $ 50 to come and $ 10 per hour to work.
Let the number of hours worked be x
The equation will be:
Price of Company A = 50 + 10 x …(1)
Company B-
It charges $ 30 to come and $ 15 per hour to work.
The equation will be:
Price of Company B = 30 + 15 x …(2)
Now, for the same prices, we will equate (1) with (2):
50 + 10 x = 30 + 15 x
15 x - 10 x = 50 - 30
5 x = 20
x = 20 / 5
x = 4
At x = 4, price of the companies will be:
A = 50 + 10 (4) = 50 + 40
A = $ 90
B = 30 + 15(4)
B = 30 + 60
B = $ 90.
Therefore, it will take 4 hours for both companies to equal the same price and it will cost $ 90 at that time.
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You have $12.50 and you need to make copies of a flyer at a store that charges $0.40
per copy. Find the inequality that represents the number of copies you can make. Use
x as the variable.
What is the maximum number of copies you can afford to make?
In linear equation, 31.25 is the maximum number of copies you can afford to make .
What in mathematics is a linear equation?
An algebraic equation with simply a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation.
Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.
Here,
Let the number of copies be x,
According to the question,
0.40x < 12.50
x < 12.50 / 0.40
x < 31.25
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Roger spent 22 minutes on his math homework and 25.08 minutes on his spelling
homework. He spent percent more time on his spelling homework.
Answer:
114%
Step-by-step explanation:
okay, so we know he spent 22 minutes on math and 25.08 on spelling.
m=22
s=25.08
so to find a percent, you have to divide s/m
s/m= 25.08/22
s/m= 1.14
because this is a decimal, we have to convert it to a percent
114%
to check the answer, multiply 22 times 114%
the answer is 25.08, so we know we got the right answer.
i don’t understand this question
Answer:
36
Step-by-step explanation:
10+10+8+8=36 you just need to add all sides
i need help answering the question.
Answer:
1/2 left
Step-by-step explanation:
1/2 correct 1/2 is correct 1/2 correct fillers for 20 words but 1/2 ia the correct answer
Solve 2y - 3 = 4y +6.
I
y=
Answer:
-9/2
Step-by-step explanation:
Begin by subtracting 2y from both sides
(2y - 2y) - 3 = (4y - 2y) + 6
-3 = 2y + 6
Then, subtract 6 from both sides
(-3 - 6) = 2y + (6 - 6)
-9 = 2y
Finally, divide by 2 on each side
(-9/2) = (2y/2)
y = -9/2
Roberto has already run 16 of 26. 2 miles of a marathon. Rounded to the nearest whole number, what percent of the marathon has he completed?.
Answer: Alright, lets get started.
Roberto has already run miles = 16
Total miles for marathon = 26.2
As per percentage formula :
So, percentage completed =
Rounding the answer to whole number 62 %
62 percent of the marathon he has completed. : Answer
Hope it will help :)
Step-by-step explanation:
A truck can be rented from Company A for $40 a day plus $0.7 per mile. Company B charges $20 a day plus $0.9 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.
Answer:
100 milesStep-by-step explanation:
Let the number of miles be x.
Company ATotal amount of rental is:
A = 40 + 0.7xCompany BTotal amount of rental is:
B = 20 + 0.9xSince A = B, substitute the values and solve the equation:
40 + 0.7x = 20 + 0.9x0.9x - 0.7x = 40 - 200.2x = 20x = 20/0.2x = 100Find the number of real zeros of
P(x) = (x-1)2+1:
(A) 1
(B) O
V o 2
(C) 2.
(D) None of these
Answer:
B
Step-by-step explanation:
Using the determinant to determine the type of zeros
Given
f(x) = ax² + bx + c ( a ≠ 0 ) ← in standard form, then the discriminant is
Δ = b² - 4ac
• If b² - 4ac > 0 then 2 real and distinct zeros
• If b² - 4ac = 0 then 2 real and equal zeros
• If b² - 4ac < 0 then 2 complex zeros
Given
f(x) = (x - 1)² + 1 ← expand factor and simplify
= x² - 2x + 1 + 1
= x² - 2x + 2 ← in standard form
with a = 1, b = - 2, c = 2, then
b² - 4ac = (- 2)² - (4 × 1 × 2) = 4 - 8 = - 4
Since b² - 4ac < 0 then the zeros are complex
Thus P(x) has no real zeros
The quadratic parent function f was transformed to create g(x)=4f(x)which description best represents g?
Answer: the second one because its a virdacal reflection
Step-by-step explanation: it’s sideways all you have to do is find the equation
The mean of the quantitative variable of interest in the population is called the?
The mean of the quantitative variable of interest in the population is called the mean.
What is meant by population?For the purposes of data collection and analysis in statistics and other fields of mathematics, a population is a distinct group of people, animals, or things that can be recognized from one another. In order to learn more about a large population, data is often gathered from a sample.
As an example, inquire about the primary occupation of 100 people chosen at random during a football game. All 100 members of your sample make up the population at that match. The population will always equal the larger of the sample size and the total population. The population is used to refer to the overall population being studied. The illustration's population is representative of the student body at the high school under examination.
Therefore, the mean of the quantitative variable of interest in the population is called the mean.
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What is the slope-intercept form of the line represented in the table shown?
X Y
-2 14
-1 12
0 10
1 8
2 6
3 4
Step 1: Find the y-intercept:
Step 2: Choose any two points from the table to find the slope:
Step 3: Use the newly-found slope to write the slope-intercept equation. The form
for that is y = mx + b.
Step 4: Check your work. Choose an ordered pair from the table and substitute
into the newly-found equation
Answer: The slope-intercept form is y = -2x + 10
Step-by-step explanation:
Step 1: The y-intercept is the point where x=0, so that is (0,10)
Step 2: Use the points (-2,14) and (-1,12) to find the slope
Slope (m) = ΔY/ΔX = -2/1 = -2
Step 3: The slope-intercept form is:
y = mx+b
y = (step 2 value) x + (step 1 value)
y = -2x+10
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Find the centroid of the region in the first quadrant bounded by the given curves.
y = x^8, x = y^8
(x, y) =
The centroid of the region in the first quadrant bounded by the given curve is (81/170, 81/170).
What is centroid of the bounded region?The centroid of an area is geometric center of that area. The location of the centroid is often denoted with a C with the coordinates being (ˉx, ˉy) that they are the average x and y coordinate for the area.
How do we find centroid of bounded region?In order to calculate the coordinates of the centroid, we'll need to calculate the area of the region first.
Now we solve of given curve are;
y=x^8
y=x^{1/8}
Now putting the value of y. we get
x^8=x^{1/8}
x=x^{64}
x^{64}-x=0
x{x^63 -1}
after equating equal to zero
x=0 x=1
y=\(\int\limits^0_1{x} \,\)x[x^9/8 - x^9]
by putting limit we get
y= 8/17 -1/10
y=63/170
Similarly we find
x =63/170
After that multiply with mass of center to get 81/170,81/170.
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The owner of a travel agency randomly surveyed its customers. The survey showed that 55% of the agency's customers were planning an overseas vacation the following year. Predict how many of the travel agency’s 12,400 travelers will vacation overseas the following year.
__ customers
Based on the survey results, we can predict that approximately 6,820 of the travel agency's 12,400 travelers will vacation overseas the following year.
Based on the survey results, we know that 55% of the travel agency's customers were planning an overseas vacation the following year.
To predict how many of the agency's 12,400 travelers will vacation overseas, we can use this percentage to estimate the number.
First, we calculate 55% of 12,400 to find the approximate number of customers planning an overseas vacation:
55% of 12,400 = 0.55 × 12,400
= 6,820
It's important to note that this prediction is based on the assumption that the survey is representative of the entire customer base of the travel agency and that the customers' vacation plans will remain unchanged. There may be other factors that could affect the actual number of travelers vacationing overseas, such as economic conditions, travel restrictions, or personal circumstances.
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HELP I NEED HELP ASAP
The system of equations y = negative one-half x + 4 and y = 2x – 1 is shown on the graph below. On a coordinate plane, 2 lines intersect at (2, 3). According to the graph, what is the solution to this system of equations? (2, 3) (3, 2) (–1, 4) (4, –1)
Answer:
2,3
Step-by-step explanation: got it right on edg.
The solution to the given system of equations is (2, 3). Therefore, option B is the correct answer.
What is a linear system of equations?A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.
Given that, the system of equations are y=-1/2x+4 -------(I) and y=2x-1 -------(II)
Now, solution is
2x-1=-1/2x+4
2x+1/2x=4+1
5x/2=5
5x=10
x=2
Substitute x=2 in equation (II), we get
y=2(2)-1
y=3
So, solution is (2, 3)
The solution to the given system of equations is (2, 3). Therefore, option B is the correct answer.
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Guys I need help with this
Answer:
y-intercept: 1
slope: 2/1
Step-by-step explanation:
Which graph represents-3x - 4y ≤ 2?
Answer:
B
Step-by-step explanation:
I'm sorry I am posting a lot of questions Math is hard also this is due today so pls help
If a circle has a diameter of 28 units, what is the circumference Use 22/7 for pi
Answer:
22/7 x d
22/7 x 28 = 88 units
Aaron has 42 m of fencing to build a three-sided fence around a rectangular plot of
land that sits on a riverbank. (The fourth side of the enclosure would be the river.)
The area of the land is 216 square meters. List each set of possible dimensions
The set of set of possible dimensions of the fencing are; 10.5 meters and 21 meters.
How to maximize the area of a rectangle?The formula for the area of rectangle is;
A = lw
where;
l is length
w is width
Therefore, Perimeter is;
P = 2w + l
Thus;
42 = 2w + l
l = 42 - 2w
Thus;
Area = w(42 - 2w)
216 = 42w - 2w²
2w² - 42w + 216 = 0
The dimension w can be found as follows;
w = -b/2a
where;
a = 2
b = -42
w = -(-42)/(2 × 2)
w = 10.5 m
Then, l = 42 - 2w
l = 42 - 2(10.5)
l = 21 meters
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Find the box-and-visker plot representing the given data:44, 38, 21, 37, 48, 43, 28
Given:
44, 38, 21, 37, 48, 43, 28
To find the box-and-Visker plot representing the given data:
Let us write it in ascending order.
21, 28, 37, 38, 43, 44, 48.
The median of the given data is 38.
The median of the first three terms is 28.
The median of the last three terms is 44.
The lowest of the given data is 21.
The highest of the given data is 48.
Hence, the correct option c.
If point N is the incenter of triangle HIJ, Angle KHN = 15*, Angle KIL = 66®, and Angle LJN = 27. What is the degree measure
of Angle KHM?
PLEAAAAAAASE HELP MEEEEEEEEEEEEE I WILL GIVE BRAINLIEST!
The values for each of the question is given below.
What is Arithmetic Sequence?Arithmetic sequence is a sequence of numbers where the numbers are arranged in a definite order such that the difference of two consecutive numbers is a constant. This constant of difference is called common difference, 'd'.
5. aₙ = 25.5 - 6.8n
a₁ = 25.5 - (6.8 * 1) = 18.7
a₂ = 25.5 - (6.8 * 2) = 11.9
a₃ = 25.5 - (6.8 * 3) = 5.1
a₄ = 25.5 - (6.8 * 4) = -1.7
a₁₀ = 25.5 - (6.8 * 10) = -42.5
6. aₙ = 25 - 10n
substituting the value of n and solving, we get,
a₁ = 15, a₂ = 5, a₃ = -5, a₄ = -15, a₅ = -25
7. aₙ = 11 + 9n
a₁ = 20, a₂ = 29, a₃ = 38, a₄ = 47, a₆ = 65
8. aₙ = 65 - 35n
a₁ = 30, a₂ = -5, a₃ = -40, a₄ = -75, a₉ = -250
The formula to find the nth terms of an arithmetic sequence is aₙ = a₁ + (n - 1)d
9. a₁ = 25, d = 100
aₙ = 25 + 100(n - 1)
a₂ = 125, a₃ = 225, a₄ = 325
10. a₁ = 5, d = 5
aₙ = 5 + 5(n - 1)
a₂ = 10, a₃ = 15, a₄ = 20
11. a₁ = 24, d = -15
aₙ = 24 - 15(n - 1)
a₂ = 9, a₃ = -6, a₄ = -21
12. a₁ = 9, d = -50
aₙ = 9 - 50(n - 1)
a₂ = -41, a₃ = -91, a₄ = -141
Hence each of the values are found.
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In quadratic functions/equations; roots/solutions/x-intercepts/zeros all represent the same values/points.
True
False
Answer:
True
Step-by-step explanation:
Solutions to quadratic equations are often called
roots / zeros / x- intercepts
(b) Factorise fully 9b-3b squared
Answer:
Step-by-step explanation:
b(9-3)
find the probability that a point randomly chosen is black⬛️⬜️⬜️⬜️⬛️⬜️⬜️⬜️⬛️
Probability is the likelihood or chance of an event occurring.
In the given grid, there are 4 black points out of a total of 9 points.
Therefore, the probability of selecting a black point randomly is:
P(black) = Number of black points / Total number of points
= 4 / 9
= 0.444 or 44.4% (rounded to one decimal place)
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A string measures 30 centimeters. About how many inches long is the string?
A. 11
B. 11.8
C. 15
D. 20
Answer:
B
There are 2.54 centimeters to every inch.
30/2.54 is 11.8
The length of the string in inches in 11.8.
In order to determine the length of the string in inches, the unit of conversion of centimeters to inches have to be first determined. 1 centimeter is equivalent to 0.393701 inches.
1 cm = 0.393701 inches
The second step is to multiply the length of the string in centimeter by the unit of conversion.
Length of string x unit of conversion
30 x 0.393701
= 11.8 (to one decimal place).
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The notation za is the z-score that the area under the standard normal curve to the right of za is
The notation za is the z-score that the area under the standard normal curve to the right of za is equal to a probability.
The z-score is a measure of how many standard deviations a data point is from the mean of a normally distributed variable. It tells us how far a data point is from the mean in terms of the number of standard deviations. A z-score of 0 represents a data point that is equal to the mean, while a positive z-score indicates that the data point is above the mean and a negative z-score indicates that the data point is below the mean.
When we talk about the z-score za, we are referring to the point on the standard normal curve that has an area to the right of it equal to a certain probability.
To calculate the z-score for a given probability, we can use a table of standard normal probabilities or a calculator that can compute the inverse of the standard normal cumulative distribution function.
This function takes a probability as input and returns the corresponding z-score that has that probability to the right of it on the standard normal curve.
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Solve the following quadratic equation for all values of x in simplest form.
Answer:
x=3
Step-by-step explanation:
5(x^2 - 9) - 5 = -5
5x^2 - 45 = 0
5x^2 = 45
x^2 = 9
x = 3
Answer:
3
Step-by-step explanation:
I did the test
Hope this helps :)
Taylor bought a watch on sale for 60% off of the original price, and another 10% off of the discounted price. If the watch originally cost $82, what was the final sale price?
Answer:
I think the answer is $4.92.
Step-by-step explanation:
Although the answer seems a little unreasonable, I think this is the answer:
$82 * 60% = $49.2
49.2 * 10% = $4.92
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help! whats the value of x
Answer:
5
Step-by-step explanation:
\(\dfrac{x}{x-2}=\dfrac{2x+5}{2x-1}\\\\x(2x-1)=(x-2)(2x+5)\\\\2x^2-x=2x^2+x-10\\\\2x=10\\\\x=5\)
Hope this helps!