"+" & "=" button key Tom will press in the calculator.
What is multiplication?The fundamental concept of repeatedly adding the same number is represented by the process of multiplication. The results of multiplying two or more numbers are known as the product of those numbers, and the components that are multiplied are referred to as the factors.
To calculate Tom's pay raise, he can perform the following calculation on his calculator:
= 40.85 x 0.06
= 2.4510
So Tom's pay raise is $2.45 per hour.
To calculate Tom's new hourly rate, he can perform the following calculation:
= 40.85 + 2.45
= 43.30
So Tom's new hourly rate is $43.30.
Here is how the calculation can be done on most calculators:
Enter 40.85 and then press the "+" button.
Enter 2.45 and then press the "=" button.
The result should be 43.30, which is Tom's new hourly rate with a 6% pay raise.
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If two angles share a vertex then they are adjacent true or false
The given statement is true"If two angles share a vertex then they are adjacent".
What is an angle?When two lines or rays converge at the same point, the measurement between them is called an "Angle."
If two angles in geometry share a side and a vertex, they are said to be adjacent. In other words, consecutive angles do not overlap and are placed side by side.
When an angle's vertex and side are shared by another angle, the two angles are said to be adjacent angles. The vertex of an angle is the point where the rays come to a stop and form the sides of the angle. When two adjacent angles share a vertex and a side, they can be either complementary or supplementary angles.
Thus, the given statement is true"If two angles share a vertex then they are adjacent".
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How do I write this as a single rational expression?
[tex] \frac{1}{p-2} - \frac{1}{p+2} [/tex]
what is 4x-9=k solve for the x
Find two numbers whose difference is 168 and whose product is a minimum
The two numbers whose difference is 168 and whose product is a minimum will be -50 and 50.
What is the equation?An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.
It is given that, two numbers whose difference is 168 and whose product is a minimum.
Suppose the two numbers are x and Q respectively.
If x - Q = 100, then Q = 100 + x
The function of their product is minimum,
F(x) = xQ
F(x) = x (100 + x)
F(x) = x² + 100x
Find the equation's lowest point on a graph. At x, the lowest point is -50,
f(x) = -2500
If,
Q = 100 + x
Q = 100 + (-50)
Q= 50
The product of the number is,
xQ = 50 × -50
xQ = -2500
Thus, the two numbers whose difference is 168 and whose product is a minimum will be -50 and 50.
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Triangle STU has been reflected over line m to form triangle S'T'U'. what is the value of y
angle of elevation and depression worksheet
Find points on the line 3x+5y=15 that are equidistant from the coordinate axes.
Final answer:
Points on the line 3x+5y=15 which are equidistant from the coordinate axes are (15/8, 15/8) and (-15/8, -15/8).
Explanation:
To find points on the line 3x+5y=15 that are equidistant from the coordinate axes, we need a point where the x and y coordinates are equal because the distances to the x-axis and y-axis from any point (x, y) are |x| and |y|, respectively. Since the line is equidistant from both axes, we require |x| = |y|.
Substituting y for x in the equation of the line, we get 3x + 5x = 15, which leads to 8x = 15, and therefore x = 15/8. Since we are looking for points equidistant from the axes, we have to check the signs of x and y to ensure they are at equal distances from both axes. Thus, the possible points are (15/8, 15/8) and (-15/8, -15/8).
A sample value that lies very far away from the majority of the other sample values is _____.
Answer:
It would be an outlier
Step-by-step explanation:
The water level at Lake Penny changed −1 1/10 in. this year. Next year, it is predicted to change another −1 2/5 in. What is the total change that will likely occur in 2 years? Enter your answer as a simplified mixed number in the box. 20 POINTS
add 1 1/10 + 1 2/5
first get both fractions with the same bottom number: 2/5 = 4/10 ( multiply both numbers by 2)
so now you have 1 1/10 + 1 4/10 = 2 5/10
5/10 reduces to 1/2
so answer is 2 1/2 inches, and since the level is going down it would be negative 2 1/2 inches
Answer:
-2 1/2 inches is your answer
A movie theater sells student tickets for $5 and adult tickets for $10. On Saturday night, 2,500 people go to the theater and ticket sales total $18,000. How many adults and children went to the theater on Saturday night? Which solution is reasonable? A) 2000 students and 1000 adults B) 1100 adults and 1400 students C) 3000 students and 0 adults D) 500 students and 1500 adults
The reasonable solution is B) 1100 adults and 1400 students, as it satisfies both attendance and revenue criteria.
Consider a movie theater that sells student tickets for $5 and adult tickets for $10. On a Saturday night, 2,500 people attended the theater, and the total ticket sales amounted to $18,000. The goal is to determine the number of adults and students who attended, with multiple choices provided:
We can set up two equations to represent the information:
The total number of people who attended: S + A = 2500
The total ticket sales amount: 5S + 10A = 18000
Solving this system of equations gives the correct solution:
B) 1100 adults and 1400 students.
This solution satisfies both equations (S + A = 2500 and 5S + 10A = 18000). It is reasonable as it accounts for both students and adults attending, and the total revenue aligns with the given information. The number of students (1400) and adults (1100) adds up to the total attendance of 2500.
The perimeter of a rectuangler pool is 130 ft. the width is 4 times the length. find the length and width of the pool
When you do a negative number minus a negative number do you get a positive?
List the descriptors used to interpret a scatterplot and provide a brief explanation for each
mnmn if m=8m=8 and n=3n=3.
Answer: 8x8x8=512
Step-by-step explanation:
ASAP PLEASE ANSWER
Given △ABC≅△JKL, m∠B=55°, and m∠L=25°, what is the measure of ∠J? Enter your answer in the box. °
Answer: [tex]\angle{J}=100^{\circ}[/tex]
Step-by-step explanation:
Given: △ABC≅△JKL,
m∠B=55°, and m∠L=25°
We know that if two triangles are congruent then their corresponding angles are equal.
∴ m∠A=m∠J
m∠B=m∠K=55°
m∠C=m∠L=25°
Now, by angle sum property in triangle JKL we have
[tex]\angle{J}+\angle{K}+\angle{L}=180^{\circ}\\\\\Rightarrow\angle{J}+55^{\circ}+25^{\circ}=180^{\circ}\\\\\Rightarrow\angle{J}=180^{\circ}-55^{\circ}-25^{\circ}\\\\\Rightarrow\angle{J}=100^{\circ}[/tex]
Fernando is starting at new sales job and needs to decide which of two salary plans to choose from for Plan A he will earn $100 a week plus 15% Commission on all sales for Plan B he will earn 150 week plus 10% Commission on all sales
What is m∠SVT?
Enter your answer in the box.
Normally I am not one to make long answers
but if you want an explanation in case you have the same question with different numers, here is an explanation
Plug in the eequation and solve for x
Doing quick math the equation would be 8y-33 = 5y+9
I plugged this into m a t h w a y and got y=14
Then I subsituted y with 14
5 x 14 = 70 70 + 9 =79
Then I did a double check by making sure they were both equal
8 x 14 = 112 112 - 33 = 79
79 = 79
Therefore your answer is 79
Hope this helped, have a great day :)
alphametic FOOD+FOOD=SHOP
Joe decides to take his six year old son to the planetarium the price for the child’s ticket it’s $5.75 less than the price for the adult ticket if you represent the price for the child’s ticket using the variable X how would you write the algebraic expression for the adult ticket price
When Seb reconciles his accounts, what is the first step he should take?
Answer:
Seb should check if all is records are accurate and he should include all the transactions.
Step-by-step explanation:
When Seb reconciles his accounts, what is the first step he should take?
We can say that reconciling an account means proving that an account balance is correct.
For this, we need all the correct and accurate transactions and figures.
So, Seb should check if all is records are accurate and he should include all the transactions.
PLEASE HELP!!!!! How does “rationalizing the denominator” use the form of 1?
Jim bought a $576 TV with the cash in his wallet. He now has $137 in his wallet. Write and solve an equation that shows how much he originally had in his wallet.
Final answer:
Jim originally had $713 in his wallet before purchasing the TV. We found this by setting up the equation x - $576 = $137, which represents the situation before and after the purchase, and solving for x.
Explanation:
Jim bought a $576 TV with the cash in his wallet and now has $137 left. To find out how much money Jim originally had, we can write and solve a simple equation. Let's denote the amount of money Jim originally had as x. After buying the TV, he spent $576, so the money left is $137. This gives us the equation x - $576 = $137.
To solve for x, we add $576 to both sides of the equation, which gives us x = $137 + $576. Therefore, x = $713. So, Jim originally had $713 in his wallet before buying the TV.
Jared needs 2.4 micrograms of vitamin B-12 each day. Today, Jared drank a serving of milk containing 0.44 micrograms of B-12 and ate a lamb chop containing 1.224 micrograms of B-12. Which method can Jared use to find the number of micrograms of vitamin B-12 he still needs?
Answer:
the answer is d
Step-by-step explanation:
Evaluate the expression (ab)2 for a = 4 and b = 3.
a.81
b.36
c.24
d.144
is the line through points P(1,9) and Q(9,6) perpendicular to the line through points R(-6,0) and S(-9,8)? Explain?
To determine if two lines are perpendicular, we can calculate their slopes. The line through P(1,9) and Q(9,6) has a slope of -3/8, and the line through R(-6,0) and S(-9,8) has a slope of -8/3. The product of these slopes is -1, indicating that the lines are perpendicular.
Explanation:To determine whether the line through points P(1,9) and Q(9,6) is perpendicular to the line through points R(-6,0) and S(-9,8), we can calculate the slope of each line. The slope of a line passing through two points (x1, y1) and (x2, y2) is given by the formula: slope = (y2 - y1) / (x2 - x1).
For the line through P(1,9) and Q(9,6), the slope is (6 - 9) / (9 - 1) = -3/8.
For the line through R(-6,0) and S(-9,8), the slope is (8 - 0) / (-9 - (-6)) = 8/-3 = -8/3.
If the two lines are perpendicular, the product of their slopes should be -1. Let's check: (-3/8) * (-8/3) = 1. Therefore, the line through points P(1,9) and Q(9,6) is perpendicular to the line through points R(-6,0) and S(-9,8).
How would you convert 9 km/hour to feet/minute? Oh, and please show the steps you took to get there. Thank you. (This is worth extra points btw)
Let's say we have a circle with a radius of 17 inches. What is the circumference of this circle in inches? Round your answer to the hundredths place.
54.78
86.23
91.1
106.81
What is the equation of a line that passes through the point (4, 2) and is perpendicular to the line whose equation is y=x/3 −1 ?
All the Factor of 40
The factors of 40 are whole numbers that divide 40 without a remainder, including 1, 2, 4, 5, 8, 10, 20, and 40.
To find all the factors of 40, you need to identify all the whole numbers that can divide 40 without leaving a remainder. The factors of 40 are numbers that multiply together to give the product of 40. Here's how we can find them:
List the number 1 and the number itself (which is 40) because 1 and 40 are always factors of 40.Try dividing 40 by whole numbers starting from 2 onwards.If the division does not leave a remainder, then the divisor is a factor of 40.Repeat this process with increasing numbers until you reach the square root of 40Therefore, the factors of 40 are: 1, 2, 4, 5, 8, 10, 20, and 40.
A private plane leaves the airport and flies 1.3 hours at 110 mph on a bearing if 40 degrees. Then it turns and continues another 1.5 hours at the same speed, but in a bearing if 130 degrees. Through what angle did the plane have to turn to head back to the airport?