To determine the basic fortnight for the operator, we need to divide the operator's earnings by their basic rate of pay.
$671.25 ÷ $8.95 = 75.05
The basic fortnight for an operator is the number of fortnights the operator has worked at their basic rate of pay. In this case, the operator has earned $671.25 at a basic rate of $8.95 per fortnight. To determine the basic fortnight, we need to divide the operator's total earnings by their basic rate of pay.
$671.25 ÷ $8.95 = 75.05
So, the operator has worked 75.05 basic fortnights. It means he has been working for 75.05*14=1053 days. This is the number of days the operator has worked at their basic rate of pay. It is important to note that this calculation assumes that the operator has not earned any overtime pay or other bonuses.
$671.25 ÷ $8.95 = 75.05
To learn more about Division,
https://brainly.com/question/28119824
#SPJ4
Hay can some one help me I need the answers
Answer:
check: 2,3,5,8
Step-by-step explanation:
REAL ANSWER PLEASE! CORRECT ANSWER TOO!
PLS HELP ME I ONLY HAVE 2 MINS TO ANSWER!!!!!!!!! ITS 100 PTS!!!!!
Three salesmen work for the same company, selling the same product. And, although they are all paid on a weekly basis, each salesman earns his paycheck differently. Salesman A works strictly on commission. He earns $65 per sale, with a maximum weekly commission of $1,300. Salesman B earns a weekly base salary of $300, plus a commission of $40 per sale. There are no limits on the amount of commission he can earn. Salesman C does not earn any commission. His weekly salary is $900. The following table shows the number of sales each salesman had during the first three weeks of this month.
Week 1 Week 2 Week 3
Salesman A 11 14 16
Salesman B 14 15 13
Salesman C 16 12 11
In which week(s), did Salesman C have a larger paycheck than both of the other salesmen? Select all that apply.
Week 3
None of the weeks.
Week 2
Week 1
In Week 1,
Salesman C got larger paycheck than Salesman A and Salesman B.
What is equation?Mathematically, an equation can be defined as a statement that supports the equality of two expressions, which are connected by the equals sign “=”. For example, 2x – 5 = 13.
Here,
2x – 5 and 13 are expressions
The sign that connects these two expressions is “=”.
In algebra, an equation is a condition on a variable. It is satisfied only for a definite value of the variable. That means, the equation 2x – 5 = 13 is satisfied only for x = 9.
Given,
Commission of salesman A per sale = $65
Commission of salesman B per sale = $40
Commission of salesman C per sale = $0
Salary of salesman A per week = $0
Salary of salesman B per week = $300
Salary of salesman C per week = $900
No. of sales × commission + salary = total earning
In week 1.
Earning of A
11 × $65 + $0 = $715
Earning of B
14 × $40 + $300 = $860
Earning of C
16 ×$0 + $900 = $900
In week 2.
Earning of A
14 × $65 + $0 = $910
Earning of B
15 × $40 + $300 = $900
Earning of C
12 ×$0 + $900 = $900
In week 3.
Earning of A
16 × $65 + $0 = $1040
Earning of B
13 × $40 + $300 = $820
Earning of C
111 ×$0 + $900 = $900
By the above calculation Salesman C received $900 in week 1 which is greater than Salesman A and Salesman B.
In week 2 and week 3 his paycheck is smaller than both of the other salesman.
Hence, Salesman C received larger paycheck than both of the other salesmen in Week 1.
Learn more about equation here:
https://brainly.com/question/29657983
#SPJ1
In the diagram, line m is parallel to line n.
What is the measure, in degrees, of angle ABC?
Answer:
m∠ABC = 55°
Step-by-step explanation:
m∠BAC = 50° because ∡BAC ≅ ∡DCA
since there are 180° in ΔABC the m∠ABC = 180-(75+50) which equals 55°
50PTS 50 PTS (DONT explain just answer please)
Answer: 17
Step-by-step explanation:
Answer:
x = 17°
Step-by-step explanation:
The given angles are,
→ 6x + 8
→ 4x + 2
Now we have to,
→ find the required value of x.
Forming the equation,
→ (6x + 8) + (4x + 2) = 180°
{As two angles in a straight line is 180°}
Then the value of x will be,
→ (6x + 8) + (4x + 2) = 180°
→ 6x + 4x + 8 + 2 = 180°
→ 10x + 10 = 180°
→ 10x = 180° - 10
→ x = 170/10
→ [ x = 17° ]
Hence, the value of x is 17°.
solve for x. assuming that lines which appear tangent are tangent
Answer:
x=10
Step-by-step explanation:
a^2=b(b+c)
12^2=8(8+x)
144=64+8x
-64 -64
______
80=8x
x=10
your uncle is 2 years older than your 3 times your age. a. you are x old. write an expression to describe your uncle's age. b. you are 12 years old. how old is your uncle
The age of your uncle is modeled by:
y = 2 + 3*x
Evaluating it, we can see that when you are 12 years old, your uncle will be 38 years old.
How to find the equation for your uncle's age?Let's define the variables: y as your uncle's age and x as your age.
Here we know that your uncle is 2 years older than 3 times your age, so we can write the linear equation:
y = 2 + 3*x
This is the equation we needed to find.
b) If you are 12 years old, then we can write x = 12 in the equation above, then we will get:
y = 2 + 3*12
y = 2 + 36
y = 38
That's the age of your uncle.
Learn more about linear equations:
https://brainly.com/question/1884491
#SPJ1
The steps to solve an equation are shown below. Choose the reasons that are listed in the correct order to justify the steps in the solving process.
A- 1. Given, 2. Division Property of Equality, 3. Addition Property of Equality, 4. Division Property of Equality
B- 1. Given, 2. Multiplication Property of Equality, 3. Subtraction Property of Equality, 4. Division Property of Equality
C- 1. Given, 2. Division Property of Equality, 3. Addition Property of Equality, 4. Multiplication Property of Equality
D- 1. Given, 2. Multiplication Property of Equality, 3. Addition Property of Equality, 4. Division Property of Equality
The steps to solve the equation (5y - 1)/2 = 7 are assigned and attached
D- 1. Given, 2. Multiplication Property of Equality, 3. Addition Property of Equality, 4. Division Property of EqualityHow to solve the given equationThe expression in the problem is (5y - 1)/2 = 7
Clearing the fraction
The fraction is cleared by applying the Multiplication Property of Equality
(5y - 1)/2 = 7
5y - 1 = 14
Adding 1 to both sides of the equation is done using Addition Property of Equality
5y - 1 + 1 = 14 + 1
5y = 15
Making y the subject of formula Division Property of Equality is applied
5y / 5 = 15 / 5
y = 5
Learn more about Division Property of Equality at:
https://brainly.com/question/17469487
#SPJ1
Three vertices of a parallelogram are shown in the figure below.
Give the coordinates of the fourth vertex.
(-7,-6)
(6,3)
(4,-4)
The fourth point is (-6.5, -14)
Vertices of a parallelogram?
The three vertices you've provided are (-7,-6), (6,3), and (4,-4). To find the fourth vertex of a parallelogram, we can use the fact that opposite sides of a parallelogram are parallel and congruent, meaning they have the same length and the same slope.
The three vertices you've provided are (-7,-6), (6,3), and (4,-4). To find the fourth vertex of a parallelogram, we can use the fact that opposite sides of a parallelogram are parallel and congruent, meaning they have the same length and the same slope.
One way to find the fourth vertex is to use the vector that connects one vertex to another. The vector from (-7,-6) to (6,3) is (13,9), and from (6,3) to (4,-4) is (-2,-7)
If we use the vector which is opposite of (-2,-7) that is (2,7) and add it to the third point (4,-4) , we will get the fourth point.
(2,7) + (4,-4) = (6,3)
so the fourth point is (6,3)
Another way is to find the midpoint of the diagonal of the parallelogram which are (-7,-6) and (4,-4) and then add the vector which is opposite of (6,3) to (4,-4) that is (-6,-9) which is also the vector from (6,3) to (4,-4)
Midpoint of (-7,-6) and (4,-4) = (-0.5,-5)
(-0.5,-5) + (-6,-9) = (-6.5, -14)
Hence, the fourth point is (-6.5, -14)
To learn more about parallelogram, Visit
https://brainly.com/question/970600
#SPJ1
There are 30 students in an art class. Fourteen of the students are girls.
What is the ratio of boys to girls?
A.7:8
B.8 :7
C.8:15
D.14:40
E.30:14
Answer: B
Step-by-step explanation: To get the boys part of the ratio you will have to subtract 30 students and 14 students that are girls because all together there are 30 students and since we only know that 14 of them are girls that leaves the rest of the students boys. 30 - 14 = 16 so now we know how many boys there are. 16:14 can be reduced by 2 and that equals to 8:7.
Hope this helps!
The ratio of boys to girls is equal to: B. 8 :7
Given the following data:
Total students = 30 studentsNumber of girls = 14 studentsTo calculate the ratio of boys to girls:
How to calculate ratio.First of all, we would determine the number of boys in the art class by subtracting the number of girl students from the total number of students in this class.
[tex]Total \;students = boys + girls\\\\30=boys + 14\\\\Boys =30-14[/tex]
Boys = 16 students.
For the ratio:
[tex]B:G=16:14[/tex]
Dividing by 2, we have:
[tex]B:G=8:7[/tex]
Read more on ratio here: https://brainly.com/question/13513438
Rewrite 14x4y3 − 42x3y4 using a common factor.
The expression 14x⁴y³ - 42x³y⁴ is rewritten to 14x³y³(x - y)
What is an algebraic expression?
An algebraic expression can be described as a mathematical expression that is made up of terms, coefficients, variables, factors and constants.
They are also made up of some arithmetic operations, such as;
SubtractionMultiplicationDivisionBracketParenthesesAddition, etcFrom the information given, we have the algebraic expression;
14x⁴y³ - 42x³y⁴
Now, factor the common numbers, we have;
14(x⁴y³ - 3x³y⁴)
Factor the common variables, we get;
14x³y³(x - y)
Hence, the expression is 14x³y³(x - y)
Learn more about algebraic expressions here:
https://brainly.com/question/4344214
#SPJ1
What are the actual dimensions of the Books section?
Answer:
b.
Step-by-step explanation:
Select the correct answer. what is the equation of a parabola whose vertex is (0, 5) and whose directrix is x = 2?
a. y2 = 8(x − 5)
b. 8(y − 5) = x2
c. (y − 5)2 = 8x
d. (y − 5)2 = -8x
Check the picture below, so the parabola looks more or less like so, with a vertex at (0 , 5) and a "p" distance of negative 2 units, since it's opening to the left, so
[tex]\textit{horizontal parabola vertex form with focus point distance} \\\\ 4p(x- h)=(y- k)^2 \qquad \begin{cases} \stackrel{vertex}{(h,k)}\qquad \stackrel{focus~point}{(h+p,k)}\qquad \stackrel{directrix}{x=h-p}\\\\ p=\textit{distance from vertex to }\\ \qquad \textit{ focus or directrix}\\\\ \stackrel{p~is~negative}{op ens~\supset}\qquad \stackrel{p~is~positive}{op ens~\subset} \end{cases} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\begin{cases} h=0\\ k=5\\ p=-2 \end{cases}\implies 4(-2)(~~x-0~~) = (~~y-5~~)^2\implies {\Large \begin{array}{llll} -8x=(y-5)^2 \end{array}}[/tex]
For each set of three lengths determine if they can be the side lengths of a triangle
Answer:
1) Yes
2) No
3) Yes
4) Yes
Step-by-step explanation:
Remember the rule: the sum of the two shortest sides must be bigger than the longest side. From there, the answers should be obvious. Just add up the smallest sides for each triplet of lengths and see if that is bigger than the largest side.
7 + 14 > 18, therefore this can be a triangle
3 + 8 < 17, therefore this can't be a triangle
3.2 + 9.0 > 11.5, therefore this can be a triangle
6 + 7 > 8, therefore this can be a triangle
Suppose that 15 inches of wire costs 90 cents. At the same rate, how many inches of wire can be bought for 72 cents?
Answer:
12 inches-----------------------------
15 inches of wire costs 90 cents, then 1 inch of wire costs:
90/15 = 6 centsThe length of wire for 72 cents:
72/6 = 12 inchesy=3(x+2)^2+7 whats this equation
Answer:
See below
Step-by-step explanation:
This is a parabola in vertex form where the vertex is (-2,7) and the parabola is vertically compressed by a factor of 3.
24,000 at 5 5% for 5 years
Answer:660,000
Step-by-step explanation:
principle= 24,000
rate=5.5%
time = 5years
simple interest= P×R×T
. =24000×5.5×5
. = 660,000
How many times and how many ounces should I feed my goat if it is 7 pounds and I feed it 3 times a day
Since you're feeding it three times a day, you should feed your goat 0.74 ounces per feeding.
What is feeding?The act of feeding involves giving a baby a mother's breast milk, either directly from the breast or by expressing (pump-out) the milk from the breast and giving it to the baby in a bottle.
Define Ounces and Pounding.In the traditional method of measurement, a pound is used to measure weight. In the conventional system, ounces are smaller weight units that are defined in terms of pounds. 1 pound Equals 16 ounces.
Goats typically need around 2% to 4% of their body weight in feed per day. If your goat weighs 7 pounds, and you want to feed it 2% of its body weight per day, you would need to feed it 0.14 pounds of food per day, or 2.24 ounces per day. Since you're feeding it three times a day, you should feed it 0.74 ounces per feeding.
To learn more about Ounce visit:
https://brainly.com/question/29374025
#SPJ1
What is the length of
AB
Determine whether the graph of the given equations are parallel, perpendicular, or neither
Answer:
7) perpendicular
8) perpendicular
Step-by-step explanation:
If the equations are in the form:
y = mx + b
(they all are in this form in these questions)
the m, the number in front of the x, is the slope.
If the slopes are the "negative reciprocals" (opposite signs and flipped over from each other) of each other, then the lines are perpendicular.
You can also do a quick check by, if the m values are multiplied together you should get -1.
1/3 • - 3 = -1
1 • -1 = -1
1/3 and -3 have opposite signs and are reciprocals (flipped over)
1 and -1 are opposite signs. It isn't very obvious maybe that they are reciprocals, but they are. Like 1/1 flipped over is 1/1.
In 2017 the Hindu festival of Diwali occurred on Thursday, 19 October. What fraction of the year was this
The Diwali occurred on 0.408 or 40.8% of the year in 2017.
To find the fraction of the year that Diwali occurred in 2017, we need to divide the number of days between Diwali and the start of the year by the total number of days in the year.
Diwali occurred on Thursday, October 19, 2017. The start of the year 2017 is January 1, 2017 which is a Sunday.
There are 365 days in a non-leap year. Since 2017 is not a leap year, there are 365 days in that year.
So the fraction of the year that Diwali occurred in 2017 can be calculated as: (days between Diwali and the start of the year) / (total days in the year) = ( 19 + 31 + 30 + 31 + 30 + 19 ) / 365 = (148) / 365 = 0.408
So, the Diwali occurred on 0.408 or 40.8% of the year in 2017.
Therefore, Diwali occurred on 0.408 or 40.8%
To learn more about fractions,
Visit; brainly.com/question/10354322
#SPJ4
Sarah ran 3,682 m yesterday on the track at her school. One time around the track is 263 m. Sarah wants to run 4,222 m today. Which number sentence can be used to calculate how many laps around the track Sarah should run today?
The total number of laps Sarah should run today is given by the equation A = 16 laps
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the number of laps be represented as A
Now , the equation will be
The total distance ran by Sarah yesterday = 3,682 m
The distance of one lap = 263 m
So , the number of laps ran by Sarah yesterday = total distance ran by Sarah yesterday / distance of one lap
Substituting the values in the equation , we get
The number of laps ran by Sarah yesterday = 3682 / 263
The number of laps ran by Sarah yesterday = 14 laps
Now ,
The distance Sarah wants to run today = 4,222 m
So , the number of laps Sarah should run today A = distance Sarah wants to run today / distance of one lap
Substituting the values in the equation , we get
The number of laps Sarah should run today A = 4,222 / 263
The number of laps Sarah should run today A = 16.05 laps
The number of laps Sarah should run today A = 16 laps
Therefore , the value of A is 16 laps
Hence , the number of laps is 16 laps
To learn more about equations click :
https://brainly.com/question/19297665
#SPJ1
Complete the square
x^2+ 10x + 35
Answer:
sry i thought i knew how to do it but I can't remember
Step-by-step explanation:
Answer:
(x + 5)² + 10
Step-by-step explanation:
Given
x² + 10x + 35
To complete the square
add/ subtract ( half the coefficient of the x- term)² to x² + 10x
x² + 2(5)x + 25 - 25 + 35
= (x + 5)² + 10
The equation C = 30x+120 represents the cost of producing gaming chairs. The equation R = 50x represents the revenue generated by selling gaming chairs, find the company's break-even point on the gaming chairs(How many chairs must be sold for the company to break even?)
Answer:
6 chairs
Step-by-step explanation:
The break even Point on gaming chairs can be expressed as :
Revenue = Cost
Revenue, R = 50x
Cost, C = 30x + 120
R = C
50x = 30x + 120
50 - 30x = 120
20x = 120
Divide both sides by 20
20x/ 20 = 120 / 20
x = 6
Hence, 6 chairs must be sold for the company to break even.
Which shows the list above in order from LEAST to GREATEST
I’ll mark brainlist : )
Why is it called a 45 45 90 triangle?
A right triangle with congruent legs and acute angles is an Isosceles Right Triangle.
A special right triangle is a right triangle that has a consistent characteristic that facilitates calculations on the triangle or for which straightforward formulas are available.
Angles in a right triangle, for instance, might create straightforward connections like 45°-45°-90°. An "angle-based" right triangle is what this is. When the side lengths of a right triangle form ratios of whole numbers, such as 3:4:5, or other unusual numbers, like the golden ratio, the triangle is said to be "side-based."
Without using more complex techniques, one can rapidly determine different lengths in geometric problems by understanding the relationships between the angles or side ratios of certain particular right triangles.
Learn more about the Triangles here;
brainly.com/question/30108144
#SPJ4
an elargemnet or expansion occurs when the absolute value of the scale factor is less than one true or false
Yes the statement is true.
What are scale factors in Dilation?An object is enlarged if the scale factor is greater than 1. An object is reduced if the scale factor is a fraction, less than 1. A dilation is a transformation that produces an image that is the same shape as the original, but is a different size. The description of a dilation includes the scale factor (constant of dilation) and the center of the dilation. The center of a dilation is a fixed point in the plane about which all points are expanded or contracted. The center is the only invariant (not changing) point under a dilation (k ≠1), and may be located inside, outside, or on a figure.
Given here Absolute value of the scale factor is greater than 1
∴ The object is enlarged if the scale factor is greater than 1.
Hence, Yes the statement is true.
Learn more about Dilations here:
https://brainly.com/question/13176891
#SPJ1
We have x tables and y chairs available for prom.
If we put 12 chairs at each table there will be 4 extra chairs with no table.
If we put 14 chairs at each table, one whole table will be empty and another will only have 6 chairs.
How many available tables and chairs do we have available for the prom.
Answer:
looool
Step-by-step explanation:
Trey and three of his friends are ordering a pizza. They plan to split the cost, and the want to spend at most $3.50 per person. Write and solve an inequality to find the cost of the pizza they should order.
The inequality to find the cost of the pizza they should order is c ≤ 14. The cost is at most $14.
How to express the inequality?Inequalities are simply created through the connection of two expressions. In this case, it should be noted that the expressions in an inequality are not always equal. Inequalities implies that the expressions are not equal. Here, they are denoted by the symbols ≥ < > ≤.
Since Trey and three of his friends are ordering a pizza and they want to spend at most $3.50 per person. An inequality to find the cost of the pizza they can order is:
c ≤ (3.50 × 4)
c ≤ 14
The cost will be at most $14.
Learn more about inequalities on:
brainly.com/question/24372553
#SPJ1
What am I supposed to do?
its a virus dont fall for it
Step-by-step explanation: