Step-by-step explanation:
30/4 = 7.5 per hour
now,
7.5 × 19 = 142.5
$142.5
Answer:
$142.50
Step-by-step explanation:
30 divide by 4 = 7.5
So each hour the worker would earn $7.50
7.5 x 19= The worker will earn 142.50 after working 19 hours.
If O is between Rand K, and OR = 11 and OK = 16, what is the length of
RK?
Answer:
5
Step-by-step explanation:
16 - 11 = 5
Answer:
Length of RK=27
Step-by-step explanation:
Basically, you add both parts OR and OK, in order to get RK.
There are 5 questions and 4 choices for each question (a, b, c, d). nancy has not studied for the exam at all and decides to randomly guess the answers. what is the probability that the first question she gets right is question number 5?
The overall probability is (3/4)^4 * 1/4 = 81/1024, or approximately 0.079.
The probability that Nancy will randomly guess the correct answer for any one of the 5 questions is 1/4 (since there are 4 choices for each question). Since Nancy has not studied at all, her guesses for each question are independent events.
Therefore, the probability that the first question she gets right is question number 5 is the probability that she guesses incorrectly for the first 4 questions (which has a probability of (3/4)^4) and then guesses correctly for question number 5 (which has a probability of 1/4).
Therefore, the overall probability is (3/4)^4 * 1/4 = 81/1024, or approximately 0.079.
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What is the answer to #7 in the picture
Or too all of them
The solution of the inequality is x ≥ 3.
How to solve inequality?In mathematics, an inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions.
Let's find the solution of the inequality as follows;
5x - 10 ≥ - 3x + 14
5x - 10 ≥ -3x + 14
add 10 to both sides of the inequality
5x - 10 + 10 ≥ -3x + 14 + 10
5x ≥ -3x + 24
add 3x to both sides of the inequality
5x ≥ -3x + 24
5x + 3x ≥ -3x + 3x + 24
8x ≥ 24
divide both sides by 8
x ≥ 24 / 8
x ≥ 3
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6(-12+5)-3(-12) Help solve with work please.
Answer:
-6
Step-by-step explanation:
6 into -7 + 36
-42+36=-6
Answer:
Step-by-step explanation:
steps are stated below
step 1
6(-12+5)-3(-12) equation
step 2
6(-12+5)-3(-12) simplify the equation
(6)(-7)−(3)(-12)
-42-(3)(-12)
step 3
-42-(3)(-12) times the number in the brackets
-42-(-36)
-6
The diameter of a circle is 4 m. Find its area to the nearest tenth.
Answer:
12.6m²
Step-by-step explanation:
radius=2
Area=π2²=12.6(1dp)
Two parallel lines, a and b, are cut by a transversal c as shown. Fill in a statement or reason for each blank in the table to complete the proof that 1=7
Answer:
B: Vertical angles are congruent
C: Angle 3 equals to angle 7
D: Corresponding angles formed...
E: Transitive property
Step-by-step explanation:
Write a formal proof for the following theorem: If two sides of
a quadrilateral are both congruent and parallel, then the
quadrilateral is a parallelogram.
A quadrilateral is a four-sided polygon where the opposite sides are parallel. Parallelograms are a specific type of quadrilateral where both sets of opposite sides are parallel. Therefore, if two sides of a quadrilateral are both congruent and parallel, then the quadrilateral is a parallelogram.
Theorem: If two sides of a quadrilateral are both congruent and parallel, then the quadrilateral is a parallelogram.
Proof:Let ABCD be a quadrilateral with AB and CD being congruent and parallel. We will show that ABCD is a parallelogram.Construct a line that is parallel to AB and CD through B and C, respectively.
Let this line intersect AD and BC at E and F, respectively. Since AB and CD are parallel, then ∠ABE and ∠CDF are corresponding angles and are congruent. Similarly, ∠AED and ∠CFB are corresponding angles and are congruent.
Thus, triangle ABE is congruent to triangle CDF by the angle-side-angle (ASA) postulate. This implies that BE and DF are congruent and parallel, since the corresponding angles in congruent triangles are congruent.
Quadrilateral ABCD has two pairs of opposite sides that are parallel and congruent, which is the definition of a parallelogram. Therefore, ABCD is a parallelogram.
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What is the y-intercept of a line that has a slope of 3 and passes through point (–1, –7)?
Answer:
-4
Step-by-step explanation:
Answer:
-4
Step-by-step explanation:
i jus took the quiz on edge
Find the median of the following set of data 12,20,1,20,8
Answer:
ok, i hate questions like these because i don't want to answer them
Step-by-step explanation:
Use the distibutive property to simplify the expression 3(4x + 9)
4x + 27
12x +27
7x + 12
Answer:
=48x2^+3097x+12
Step-by-step explanation:
3(4x+9)(4)x+2712x+277x+12
Distribute:
=48x2+108x+2712x+277x+12
Combine Like Terms:
=48x2+108x+2712x+277x+12
=(48x2)+(108x+2712x+277x)+(12)
=48x2+3097x+12
Answer:
Hello~
12x+3×9
12x + 27
Ary~
In the triangle below, with right angle ZL, suppose that mM=(5x+15)° and m N= (4x+3)⁰.
Find the degree measure of each angle in the triangle.
N
(4x + 3)°
15x+15)
Please help I’m super stressed and crying I need this
On solving the provided question, we can say that by using the triangle, ∠LNM=35° and ∠NML=55°
What is triangle?A triangle is a polygon since it has three sides and three vertices. It is one of the basic geometric shapes. The name given to a triangle containing the vertices A, B, and C is Triangle ABC. A unique plane and triangle in Euclidean geometry are discovered when the three points are not collinear. Three sides and three corners define a triangle as a polygon. The triangle's corners are defined as the locations where the three sides converge. 180 degrees is the result of multiplying three triangle angles.
∠LNM=(4x+3)°
∠NML=(5x+15)°
∠NLM=90°
Since, its right angle triangle, sum of all angle is 180°
∠LNM+∠NML+∠NLM=180°
(4x+3)+(5x+15)+90=180°
9x+18=90°
9x=72
x=8
Hence,
∠LNM=(4x+3)°=4*8+3=35°
∠NML=(5x+15)°=5*8+15=55°
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Jeremy lost his dog, and wants to make some signs to put up in the neighborhood. The cost to make 8 paper signs and 2 laminated signs is $12.00. The cost to make 10 paper signs and 10 laminated signs is $30.00. What is the cost of 1 laminated sign?
Answer:
cost to make paper signs = $1
cost to make laminated signs = $2
Step-by-step explanation:
Let
x = cost to make paper signs
y = cost to make laminated signs
8x + 2y = 12 (1)
10x + 10y = 30 (2)
Multiply (1) by 5
40x + 10y = 60 (3)
10x + 10y = 30 (2)
Subtract (2) from (3) to solve for x
40x - 10x = 60 - 30
30x = 30
x = 30/30
x = $1
Substitute x = 1 into (1)
8x + 2y = 12
8(1) + 2y = 12
8 + 2y = 12
2y = 12 - 8
2y = 4
y = 4/2
y = $2
cost to make paper signs = $1
cost to make laminated signs = $2
why do you need to tare a kitchen scale before weighing an ingredient
Taring a kitchen scale before weighing an ingredient is essential to obtain accurate measurements by removing the weight of the container, streamlining the process, and ensuring precise and reliable results in culinary preparations.
Taring a kitchen scale before weighing an ingredient is necessary to accurately measure the weight of the ingredient without including the weight of the container or vessel in which it is placed. Taring essentially resets the scale to zero, accounting for the weight of the container so that only the weight of the ingredient being added is measured.
By taring the scale, you eliminate the need to manually subtract the weight of the container from the final measurement. This allows for more precise and efficient measurements in recipes or other culinary applications.
Taring is particularly important when working with small or precise quantities of ingredients, where even a slight variation in weight can significantly impact the final outcome of a dish. It ensures that the weight of the container does not contribute to the measurement, providing accurate and reliable results.
Additionally, taring simplifies the weighing process by eliminating the need to calculate or estimate the weight of the container separately. It saves time and reduces the chances of errors in measurements, promoting consistency and precision in cooking and baking.
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The annual revenue earned by Walmart in the years from January 2000 to January 2014 can be approximated by R(t) = 176e0.079 billion dollars per year (Osts 14), where t is time in years. (t = 0 represents January 2000.)+ Estimate, to the nearest $10 billion, Walmart's total revenue from January 2003 to January 2014. $______ billion
The annual revenue earned by Walmart in the years from January 2000 to January 2014 can be approximated by R(t) = 176e0.079 billion dollars per year (Osts 14), where t is time in years. (t = 0 represents January 2000.)+ Estimate, to the nearest $10 billion, Walmart's total revenue from January 2003 to January 2014. $3,936 billion.
To estimate Walmart's total revenue from January 2003 to January 2014, we need to integrate the revenue function R(t) over that time period.
To estimate Walmart's total revenue from January 2003 to January 2014, we need to calculate the integral of the revenue function R(t) = 176e^(0.079t) over the given time period.
Let's denote t1 as the starting time (January 2003) and t2 as the ending time (January 2014). To calculate the total revenue, we integrate R(t) with respect to t from t1 to t2:
Total revenue = ∫[t1 to t2] R(t) dt
= ∫[t1 to t2] 176e^(0.079t) dt
To evaluate this integral, we can use the substitution method. Let u = 0.079t, then du = 0.079dt. Rearranging, we have dt = du/0.079.
Substituting the limits of integration and the expression for dt into the integral, we get:
Total revenue = 176/0.079 * ∫[t1 to t2] e^u du
= 2227.848 * ∫[t1 to t2] e^u du
Now we can integrate e^u with respect to u:
Total revenue = 2227.848 * [e^u] evaluated from t1 to t2
= 2227.848 * (e^(0.079t2) - e^(0.079t1))
Substituting t1 = 3 and t2 = 14, we can calculate the approximate total revenue to the nearest $10 billion:
Total revenue ≈ 2227.848 * (e^(0.079*14) - e^(0.079*3))
≈ 2227.848 * (e^1.106 - e^0.237)
≈ 2227.848 * (3.034 - 1.268)
≈ 2227.848 * 1.766
≈ 3936 billion dollars
Therefore, Walmart's total revenue from January 2003 to January 2014 is approximately $3,936 billion.
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Which line is the graph of y = 2x - 1?
line a
line d
line c
line b
Answer: Line A Is the answer
Naomi plotted the graph below to show the relationship between the temperature of her city and the number of popsicles she sold daily:
Part A: In your own words, describe the relationship between the temperature of the city and the number of popsicles sold. (2 points)
Part B: Describe how you can make the line of best fit. Write the approximate slope and y-intercept of the line of best fit. Show your work, including the points that you use to calculate the slope and y-intercept. (3 points)
Part A: The relationship between the temperature of Naomi’s city and the number of popsicles she sold daily is direct and proportional. This implies that as the temperature of the city increases, the number of popsicles sold per day also increases. This is confirmed by the upward trend of the graph, which shows an increase in the number of popsicles sold per day as the temperature increases.
Part B: The line of best fit is a straight line that is used to represent the trend of a scatter plot. The line of best fit can be used to make predictions about the value of the dependent variable based on the value of the independent variable. To create the line of best fit for this graph, we need to identify the slope and y-intercept.
The slope of the line of best fit can be calculated using the formula:
slope = (y2 - y1)/(x2 - x1)
where (x1, y1) and (x2, y2) are any two points on the line of best fit. We can choose two points on the line of best fit, such as (20, 25) and (40, 75), and substitute the values into the formula:
slope = (75 - 25)/(40 - 20)
slope = 50/20
slope = 2.5
The approximate slope of the line of best fit is 2.5.
The y-intercept of the line of best fit can be calculated by substituting the slope and one of the points on the line of best fit into the formula:
y - y1 = m(x - x1)
where m is the slope and (x1, y1) is one of the points on the line of best fit. We can choose the point (20, 25) and substitute the values into the formula:
y - 25 = 2.5(x - 20)
y - 25 = 2.5x - 50
y = 2.5x - 25
The y-intercept of the line of best fit is -25.
Therefore, the line of best fit for the graph is:
y = 2.5x - 25.
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Robin’s favorite pound cake recipe needs 2 1/3 cups of flour. She plans to make 2 cakes for a picnic. She has 4 1/2 cups of flour in her cabinet. How much more flour does she need to make the 2 cakes
Answer: 1/6
Step-by-step explanation:
You pull one card at random from a standard deck and you shuffle the remaining cards. Then you pull another card. Is the event independent or dependent?
Answer:
If an event is affected by previous events then it is a dependent event, while if an event is not affected by the previous event then it is an independent event.
Since we have replaced the card that we first drew from the deck, it wont affect the event of pulling a card second time.
So, we can say that it is an example of independent event.
Noah went into a movie theater and bought 9 drinks and 4 candies, costing a total of $60. Nachelle went into the same movie theater and bought 10 drinks and 2 candies, costing a total of $57.50. Determine the price of each drink and the price of each candy.
Answer:
See below.
Step-by-step explanation:
Let the price of drinks be x and the price of candies be y.
Condition # 1:9x + 4y = 60 --------------------(1)
Condition # 2:10x + 2y = 57.50 --------------(2)
Multiply Eq. (2) by 22(10x + 2y) = 57.50*2
20x + 4y = 115 --------------(3)
Subtract Eq. (3) from (1)9x + 4y - 20x - 4y = 60 - 115
9x - 20x = -55
-11x = -55
11x = 55
Divide both sides by 11x = 55/11
x = $5Put x = 5 in Eq. (1)
9(5) + 4y = 60
45 + 4y = 60
Subtract 45 to both sides4y = 60 - 45
4y = 15
Divide both sides by 4y = 15/4
y = $3.75So, the cost of one drink is $5 and the cost of one candy is $3.75.
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4. There are major chords built on what three notes (with all white notes and no accidentals)? O CFG O ABC GEB OCDE
The three major chords built on white notes without accidentals are:
1. C major chord (C, E, G)
2. F major chord (F, A, C)
3. G major chord (G, B, D)
These chords are formed by taking the root note, skipping one white note, and adding the next white note on top. For example, in the C major chord, the notes C, E, and G are played together to create a harmonious sound.
Similarly, the F major chord is formed by playing F, A, and C, and the G major chord is formed by playing G, B, and D. These three major chords are commonly used in various musical compositions and are fundamental building blocks in music theory.
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How do we write the difference of a number and 4?
a marathon ran 26.2 miles in 2 hours and 30 minutes. how many miles did he run in one hour?
Answer:
10.48 miles ran in one hour .
The library surveyed 240 about their favorite type of movie. If 15% of the people chose documentaries, how many people chose documentaries?
Please help me with this.
Answer:
36 people
Step-by-step explanation:
240 x 0.15 = 36
Please help!! I'll give brainleist
Jordan works for a landscape company during his summer vacation. He is paid $12 per hour for mowing lawns and $14 per hour for planting gardens. He can work a maximum of 40 hours per week, and would like to earn at least $250 this week. If m represents the number of hours mowing lawns and g represents the number of hours planting gardens, write a system of inequalities that could represent the given conditions.
Answer:
m + g < 40
12m + 14g > 250
Step-by-step explanation:
Given : Jordan is paid $12 per hour for mowing lawns and $14 per hour for planting gardens.
Let m represents the number of hours mowing lawns and g represents the number of hours planting gardens.
He can work a maximum of 40 hours per week, and would like to earn at least $250 this week.
Then, the system of the inequality becomes
m + g < 40
12m + 14g > 250
What is the inverse of the statement?
A number that has exactly two distinct factors is prime.
If a number has exactly two distinct factors, then the number is prime.
If a number does not have exactly two distinct factors, then the number is not prime.
If a number is not prime, then the number does not have exactly two distinct factors.
If a number is prime, then the number has exactly two distinct fac
The inverse of the statement is "If a number does not have exactly two distinct factors, then the number is not prime." Thus Option 2 is the answer.
When a conditional statement is reversed, the hypothesis and conclusion are both negated. The hypothesis in the original statement is "a number with exactly two distinct factors," while the conclusion is "is prime."
To make the inverse, we negate both sections. "A number does not have exactly two distinct factors" is the antonym of "A number that has exactly two distinct factors." "Is not prime" is the opposite of "is prime."
As a result, the inverse statement is "If a number does not have exactly two distinct factors, then the number is not prime."
It's crucial to remember that a statement's inverse could or might not be accurate. In this instance, the inverse is true since the definition of a prime number is incompatible with the fact that a number has more than two components if it has more than exactly two different factors.
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Solve the expression and find the value of x.
\( \frac{x + 1}{10} - \frac{3(x - 1)}{5} = 2 \)
\(\large\underline{\sf{Solution-}}\)
\(\sf \dfrac{x + 1}{10} - \dfrac{3(x - 1)}{5} = 2\)
\(\sf\longmapsto \dfrac{x + 1}{10} - \dfrac{3x - 3}{5} = 2\)
\(\sf\longmapsto \dfrac{(x + 1) - 2(3x - 3)}{10} = 2\)
\(\sf\longmapsto \dfrac{x + 1 - (6x - 6)}{10} = 2\)
\(\sf\longmapsto \dfrac{x + 1 - 6x + 6}{10} = 2\)
\(\sf\longmapsto \dfrac{ - 5x + 7}{10} = 2\)
\(\sf\longmapsto - 5x + 7 = 20\)
\(\sf\longmapsto - 5x = 20 - 7\)
\(\sf\longmapsto - 5x = 13\)
\(\sf\therefore x = - \dfrac{13}{5} \)
Hence, the value of x will be -13/5 respectively.
\( \huge \boxed{\mathfrak{Question} \downarrow}\)
\(\frac{x + 1}{10} - \frac{3(x - 1)}{5} = 2 \\ \)
\( \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}\)
\(\frac { x + 1 } { 10 } - \frac { 3 ( x - 1 ) } { 5 } = 2 \\ \frac { x + 1 } { 10 } - \frac { 3 ( x - 1 ) } { 5 } = \frac{2}{1} \)
Take a look at the denominators. The denominators are 10, 5 & 1. Their LCM is 10. So, multiply the fractions on both the sides of the equation by 10.
\(\frac { x + 1 } { 10 } - \frac { 3 ( x - 1 ) } { 5 } = \frac{2}{1} \\ \frac{x + 1}{10} \times \frac{1}{1} - \frac{3x - 3}{5} \times \frac{2}{2} = \frac{2}{1} \times \frac{10}{10} \\ \frac{x + 1}{10} - \frac{6x - 6}{10} = \frac{20}{10} \)
Now cancel the denominators (as they have the same value) & take the numerators.
\(x + 1 - (6x - 6) = 20 \\ \)
Now, simplify it.
\(x + 1 - (6x - 6) = 20 \\ x + 1 - 6x + 6 = 20 \\ x - 6x + 1 + 6 = 20 \\ - 5x + 7 = 20 \\ - 5x = 13 \\ x = -\frac{13}{5} \\ \boxed{ \boxed{ \bf x = - \frac{13}{5} =\: - 2 \frac{3}{5} = - 2.6}}\)
__________________
Hope it'll help you!
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3) If 3 folders cost $2.70, then how much would 8 folders cost? *
2p
O (1) $6.90
(2) $7.02
(3) $7.20
(4) $8.13
GUYS HELP MEEEE
Answer:
2.70/3=0.9
0.9x8=7.20
Answer is 3 - $7.20
I NEED HELP ON THIS ASAP!!!!!!!
The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x). A function's range is the collection of values it can take as input.
What does a calculus domain mean?The collection of all potential inputs for a function is its domain. For instance, the domain of f(x)=x2 and g(x)=1/x are all real integers with the exception of x=0.
How to Determine a Function's Range?Think about the function y = f. (x). The range of the function is the range of all the y values, from least to maximum. Substitute all possible values of x into the provided expression of y to see whether it is positive, negative, or equal to other values.
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19. Solve the equation.
2 + 2 = 17
I need help 52°, 48° 52°, 38° 47°, 53° 47°, 43°
Answer: the angels are equivalent too 90 degrees so I am guessing it’s m
I am not sure so check it to make sure I am not wrong .