A salesperson works 40 hours per week at a job where
she has two options for being paid. Option A is an hourly wage of $
24. Option B is a commission rate of
8% on weekly sales. How much does
she need to sell this week to earn the same amount with the two options?
Answer:
12,000 in sales
Step-by-step explanation:
$24/hour x 40 hours=960 salary
sales x commission rate =salary
sales x .08=960
sales =960/.08
sales=12,000
PART 1:
In the diagram below, ΔRST is a right triangle, write the equation you would use to solve for side RT. (For example, cos20 = 13/x )
PART 2:
Using the equation you wrote above, solve for side RT and round your answer to the nearest tenth.
Answer:
[tex](a)\ \sin(46) = \frac{8}{RT}[/tex]
[tex](b)\ RT = 11.1[/tex]
Step-by-step explanation:
Given
The attached triangle
Solving (a): Equation to determine RT
To do this, we apply sine formula
[tex]\sin(\theta) = \frac{Opposite}{Hypotenuse}[/tex]
This gives:
[tex]\sin(46) = \frac{8}{RT}[/tex]
Solving (b): Solve the equation
[tex]\sin(46) = \frac{8}{RT}[/tex]
Make RT the subject
[tex]RT = \frac{8}{\sin(46)}[/tex]
[tex]RT = \frac{8}{0.7193}[/tex]
[tex]RT = 11.1[/tex]
Albert was paid $85 for washing
a neighbor's car. This is one
!fourth of the amount of money
i he earned all summer. Write and
solve an equation to find the
total amount Albert earned
during the summer?
Answer:
$340
Step-by-step explanation:
85 x 4 = 340.
Because 85 = 1/4, 4/4 = 85 x 4 = 340
Lee Ran 100 meteres in 28.45 seconds. Jackie ran 100 meters in 30.29 seconds. How Much Longer did it take jackie than lee to run 100 meters?
Will Mark Brainliest if someone answer’s ,No Link’s
Answer:
1.84 meters
Step-by-step explanation:
Jackie: 30.29 meters - Lee: 28.45 meters = 1.84 meters
My usual workout consists of running 10 laps around a 400 meter track. If I go to a track that is only 250 meters long, how many laps will I need to run to get the same workout?
100 POINT QUESTION!!!
Answer:
16 laps
Step-by-step explanation:
400x10=4000
4000÷250=16
bro what does "log 2" mean in math
Answer:
In math the binary logarithm (log2 n) is the power to which the number 2 must be raised to obtain the value n. That is, for any real number x, For example, the binary logarithm of 1 is 0, the binary logarithm of 2 is 1, the binary logarithm of 4 is 2, and the binary logarithm of 32 is 5.
Plsss helpp bestiessss I’ll mark you brainliesttt
3150 hope that helps...
What is the solution of the system of equations given below?
y = 5x - 18
y = x + 2
(4,2)
(7,5)
(5,7)
(2,4)
Answer: (5,7)
How to: Solve for the first variable in one of the equations, then substitute the result into the other equation.
Have a great day !
Plz help me well mark brainliest if you are correct!!...
Suppose that 70% of all Americans agree that a candidate is not trustworthy. A survey finds the 116 out of 200 agree that a candidate is not trustworthy. How likely is the result above to happen, if the sample is representative of the population?
Answer:
Prob = 0.00009 = 0.009% , Less Likely
Step-by-step explanation:
Using Binomial Distribution, Prob = N c r . ( P )^ r . ( Q ) ^ (n -r) .
,P = success probability, ie candidate considered be trustworthy = 70% = 0.7; N = trials = 200 ; Q = failure probability, ie non trustworthy = 1 - 0.7 = 0.3 r = no. of success = 116
Pr = 200c116 . (0.7)^116 . (0.3)^(200 - 116) = 200c116 (0.7)^116 (0.3)^84 = 0.00009 = 0.009%
Less probability means Less Likely
the sum of 2 numbers is 65 and the difference is 7
Answer:
Hello There!!
Step-by-step explanation:
The answer is=>The sum is x + y = 65
The difference is x - y = 7 .....x = 7 + y
7 + y + y = 65
7 + 2y = 65
2y = 58
y = 29
x + y = 65
x + 29 = 65
X = 36
The Sum: 36 + 29 = 65
The Difference: 36 - 29 = 7
hope this helps,have a great day!!
~Pinky~
Answer:
36 and 29
Step-by-step explanation:
The sum of the two numbers is 65 and their difference is 7. What are the two numbers? Let's start by calling the two numbers we are looking for x and y.
The sum of x and y is 65. In other words, x plus y equals 65 and can be written as equation A:
x + y = 65
The difference between x and y is 7. In other words, x minus y equals 7 and can be written as equation B:
x - y = 7
Now solve equation B for x to get the revised equation B:
x - y = 7
x = 7 + y
Then substitute x in equation A from the revised equation B and then solve for y:
x + y = 65
7 + y + y = 65
7 + 2y = 65
2y = 58
y = 29
Now we know y is 29. This means that we can substitute y for 29 in equation A and solve for x:
x + y = 65
x + 29 = 65
X = 36
Summary: The sum of two numbers is 65 and their difference is 7. What are the two numbers? Answer: 36 and 29 as proven here:
Sum: 36 + 29 = 65
Difference: 36 - 29 = 7
A cube has a volume of 729 cubic centimeters. What can be concluded about the cube? Check all that apply.
Recall the formula Cube volume = s cubed.
The side length, s, can be found using the equation 3 s = 729
This is a perfect cube.
The side length is 243 centimeters.
The side length is 9 centimeters.
Taking the cube root of the volume will determine the side length.
If you multiply the volume by three, you can determine the side length.
Answer:
b c d h
Step-by-step explanation:
i took the test
The true conclusion about the cube are :
This is a perfect cube
The side length is 9 centimeters
Taking the cube root of the volume will determine the side length.
What is volume?A volume is simply defined as the amount of space occupied by any three-dimensional solid. These solids can be a cube, a cuboid, a cone, a cylinder or a sphere. Different shapes have different volumes.
Volume of a cube = l³
where
l = length
Therefore,
volume = l³
729 = l³
cube root both sides
l = ∛729
l = 9 cm
Therefore, what is true about the cube is as follows:
This is a perfect cube
The side length is 9 centimeters
Taking the cube root of the volume will determine the side length.
learn more on volume here: brainly.com/question/5871032
#SPJ7
If I made $20 in 4 hours, what is the rate at which I made money?
Answer:
it would be five each hour.
Step-by-step explanation:
What type of quadrilateral is DEFG? Select all that apply.
ty
F
E
6
2
G
2
D
o
2
A rhombus
B. parallelogram
C! square
DE
D trapezoid
Answer:
Rhombus
Square
Step-by-step explanation:
Given
Attached quadrilateral
Required
Select the type(s) of quadrilateral
From the attached image, we have:
[tex]DE = FG[/tex] -- Opposite, Parallel and Equal
[tex]EF = GD[/tex] -- Opposite, Parallel and Equal
Also:
[tex]DE = EF =FG = GD[/tex]
Since all 4 sides are equal, then it is neither a parallelogram nor a trapezoid
Hence, the shape is either a rhombus or a square
Please answer it. I will give brainliest if its correct..
First find the circumference of the circle:
Circumference = 2 x radius x pi
Circumference = 2 x 4 x 3.14 = 25.12 cm
Now arc ML is 100 degrees.
Multiply the circumference by the arc degree/360 ( 360 is a full circle)
25.12 x 100/360 = 6.98 cm
The answer is 6.98 cm
brainlest e answ eeeeee
Answer:
1/4
Step-by-step explanation:
The fraction can be reduced using 3
3/3 = 1
12/3 = 4
3/12 = 1/4
Answer:
1/4
Step-by-step explanation:
factors of 3: 1, 3
factors of 12: 1, 2, 3, 4, 6, 12
GCF is 3
3 / 3 x 12 / 3 =
1 / 4
100 POINTS!!!!!!! Please help me find an equation for the data in the table.
Step-by-step explanation:
First find the common ratio
Then find your first term
Use the terms in the general equation
help me!!!!!!!!!plzzz
Answer:
B. 1/3
Step-by-step explanation:
Answer:
1/3
Step-by-step explanation:
add all the values 10+14+6=30 since red is 10 divide 10 by 30 so 10/30 simplifying to 1/3.
y=x+5
please help me with this problem I'm really struggling to answer the question.
Answer:12
Step-by-step explanation:just know i did it and got it right
Use the explicit rule given to write the first four terms the sequence
F(n)=n²+7
Answer:
8, 11, 16, 23
Step-by-step explanation:
the rule is: f(n) = n²+7
first 4 terms are:
f(1) = 1² +7 so f(1) = 8
f(2) =2² +7 so f(2) = 11
f(3) = 3² +7 so f(3) = 16
f(4) = 4² +7 so f(4) = 23
Round 46.27 to the nearest tenth
Answer:
46.3
Step-by-step explanation:
Answer:
46.3
Step-by-step explanation:
46.27 the tenths place is the 7 and the 2 is the ones and you round the 7 to make the 2 to a 3 and get rid of the 7
A regression of y = calcium content (g/L) on x = dissolved material (mg/cm2) was reported in the article "Use of Fly Ash or Silica Fume to Increase the Resistance of Concrete to Feed Acids" (Mag. Concrete Res., 1997: 337–344). The equation of the estimated regression line was y = 3.678 + .144x, with r2 = .860, based on n = 23.
a. Interpret the estimated slope .144 and the coefficient of determination .860.
b. Calculate a point estimate of the true average calcium content when the amount of dissolved material is 50 mg/cm2.
c. The value of total sum of squares was SST = 320.398. Calculate an estimate of the error standard deviation σ in the simple linear regression model.
Answer:
a) The slope = 0.144 , means that an increase in dissolved material by 1 mg/cm^2 will lead to an increase in Calcium content by 0.144 g/l
while the coefficient of determination = 0.869 , means that 86% of the variation ( natural ) of calcium content is explainable using the Linear model.
b) 10.878
c) S ≈ 1.99
Step-by-step explanation:
a) The slope = 0.144 , means that an increase in dissolved material by 1 mg/cm^2 will lead to an increase in Calcium content by 0.144 g/l
while the coefficient of determination = 0.869 , means that 86% of the variation ( natural ) of calcium content is explainable using the Linear model.
B) Point estimate of true average calcium content
Given that dissolved material = 50 mg/cm^2
= 3.678 + 0.144 * dissolved material
= 3.678 + 7.2 = 10.878
C) Determine an estimate of error standard deviation
Given that ; sum of squares ( SST ) = 320.398
COD ( r ) = 0.86
first; calculate the value of SSE = SST - SST ( r^2 )
SSE = 320.398 - 320.398 ( 0.86) ^2
= 83.43
Finally ; determine the estimate of error standard deviation
S^2 = SSE / n -2
= 83.43 / 23 - 2
∴ S ≈ 1.99
Answer this question pls I need it rn
Answer:
K = 84°
L ; M = 48 ; 48
Step-by-step explanation:
L = (5x + 18)
M = (3x + 30)
K = k
L + M + K = 180° (sum of angles in a triangle)
The two base angles are equal :
Hence ;
5x + 18 = 3x + 30
5x - 3x = 30 - 18
2x = 12
x = 6
Hence,
L = 5x + 18 = 5(6) + 18 = 30 + 18 = 48°
M = 3x + 30 = 3(6) + 30 = 48°
K = 180 - (48 + 48)
K = 180 - 96
K = 84°
A scalar pipeline has 4 pipeline stages A, B, C, D. An operand entering this pipeline must be processed by the four units A-> B -> C -> D. Suppose that units A, B , D takes 2 ns to process an operand, and unit C takes 3 ns to process an operand. How many ns does it take for this scalar pipeline to process 1000 independent operations?
Answer:
The answer is "3006 ns"
Step-by-step explanation:
The time is taken by [tex]a,b, D = 2\ ns[/tex]
taking time [tex]= 3 \ ns[/tex]
first taking time [tex]= 2\times 3+3= 6+3=9[/tex]
Calculating the Rest taking 3 ns to process
For 1000:
[tex]= 9+ 3\times 999\\\\= 9+2997\\\\=3006\ ns[/tex]
3. Find the lateral surface area of the figure
below.
No links please I really need an answer
Answer:
284 [tex]ft^{2}[/tex]
Step-by-step explanation:
Area of triangle = bh/2 = 4(8)/2 = 16
Area of both triangles = 32
Area of left face = bh = 8(12) = 96
Area of right face = bh = 9(12) = 108
Area of bottom = bh = 4(12) = 48
Total lateral area = 32 + 96 + 108 + 48 = 284
If 18 people share a barrel of apples equally,each gets 12 apples.if there had been 6 fewer people,how many apples would each person get ?
Answer:
18 apples
Step-by-step explanation:
If 18 people each get 12 apples, then the total number of apples is 18*12=216.
If there were 6 fewer people, there would 18-6=12 people.
To split the total 216 apples between 12 people, so 216/12=18.
Each person would get 18 apples.
What is the slope of the line that passes through the points (9, 5) and (21, 1)?
Write your answer in simplest form.
Answer:
[tex]\displaystyle m = \frac{-1}{3}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)Slope Formula: [tex]\displaystyle m = \frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (9, 5)
Point (21, 1)
Step 2: Solve for slope m
Substitute in points [Slope Formula]: [tex]\displaystyle m = \frac{1-5}{21-9}[/tex][Fraction] Subtract: [tex]\displaystyle m = \frac{-4}{12}[/tex][Fraction] Simplify: [tex]\displaystyle m = \frac{-1}{3}[/tex]3 Select the correct answer. Which measure of center is the most appropriate for this data set? 20, 6, 42, 13, 15, 10, 9, 12, 12
A mean
B median
C mode
D mean absolutely median
Answer:
B median
Step-by-step explanation:
The median is the center of any data set
if x varies inversely as y and x=2.5 when y = 40 , find y when x = 2
Answer:
2.5/40=2/y
2.5y=40x2
2.5y=80
y=80/2.5
y=32
Circle A contains points B, C, D, and E. BC and DĚ intersect on the exterior of OA at the point F. 68% D 26° Find the measure of SCFE.
Answer:
6
Step-by-step explanation: