8/7 as a mixed number
Answer:
[tex]1\frac{1}{7}[/tex]
Carmen earns 3% a year on money in her savings account. She had $354 in her account last year how much interest did she earn
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{3\% of 354}}{\left( \cfrac{3}{100} \right)354}\implies 10.62[/tex]
Find the LCM by first finding the prime factor.
Answer:
Step-by-step explanation:
3(x² - y²) = 3(x + y)(x -y)
x² - 2xy + y² = (x - y)²
LCM = 3(x + y)(x - y)²
Choose the method of pay that would result in the most earnings for one month on sales of $60,000. a. straight commission of 6% on all sales. b. monthly salary of $1,500 plus 3% commission on all sales. c. graduated commission of 4% on the first $50,000 in sales and 10% on anything over that. d. graduated commission of 5% on the first $40,000 in sales and 9% on anything over that. please select the best answer from the choices provided a b c d
The method of pay that would result in the most earnings is: Option d. graduated commission of 5% on the first $40,000 in sales and 9% on anything over that.
How to find the percentage from the total value?Suppose the value of which a thing is expressed in percentage is "a'
Suppose the percent that considered thing is of "a" is b%
Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).
Thus, that thing in number is
[tex]\dfrac{a}{100} \times b[/tex]
We're specified that:
One month sales of $60,000 occurs.Calculating the earnings from all the options:
Option a: straight commission of 6% on all sales.That means, we get:
Earning = 6% of 60,000 = [tex]\dfrac{60000}{100} \times 6 = 3600[/tex] (in dollars)
That means:
Earning = 1500 + 3% of 60,000 = [tex]1500 +\dfrac{60000}{100} \times 3 = 1500 + 1800 = 3300[/tex] (in dollars).
Option c : graduated commission of 4% on the first $50,000 in sales and 10% on anything over thatThat means, we get:
Earning = 4% of 50,000 + 10% of 10,000 (as total 60,000 dollars sales was done).
Earning = [tex]\dfrac{50000}{100} \times 4 + \dfrac{10000}{100} \times 10 = 2000 + 1000 = 3000[/tex] (in dollars)
Option d: graduated commission of 5% on the first $40,000 in sales and 9% on anything over that.That means:
Earning = 5% of 40,000 + 9% of 20,000 (as 40000 + 20000 = 60000)
or, we get:
Earning = [tex]\dfrac{40000}{100} \times 5 + \dfrac{20000}{100} \times 9 = 2000 + 1800 = 3800[/tex] (in dollars).
Thus, option D provides the method for max earning.
Thus, the method of pay that would result in the most earnings is: Option d. graduated commission of 5% on the first $40,000 in sales and 9% on anything over that.
Learn more about percent here:
https://brainly.com/question/11549320
Answer:
D
Step-by-step explanation: i took the test
The model is shaded to represent the remaining one-half of a cake. Three friends will each receive an equal amount of the remaining cake until it is all gone.
Which equation can be used to determine the fraction of the whole cake each friend will receive?
Answer:
The model is shaded to represent the remaining one-half of a cake. Three friends will each receive an equal amount of the remaining cake until it is all gone.
cake
what is the solution of the system of equation? y=2x-3 , 4x-3y=31
Answer:
Use Substitution.
Plug in 2x-3 in place of y in the second equation.
4x - 3(2x-3) = 31
4x - 6x + 9 =31
-9 -9
-----------------------
-2x=22 so x=-11
Then, y=2(-11)-3, so y=-25
So the solution would be (-11,-25).
Step-by-step explanation:
is the variable alone?
No
what is it attached to?
you always do adding or subtracting first so it is attached to 3
How is it attached?
by subtraction
what is the inverse operation?
it is addition
then all you do is the same thing but with multiplication or division
Hi!
We can solve this using the substitution method.
Given:
[tex]y=2x-3\\4x-3y=31[/tex]
Using the first question, we know that [tex]y[/tex] is equal to [tex]2x-3[/tex], so we can simply plug that value in to the second equation, like so:
[tex]4x-3(2x-3)=31[/tex]
Now, we can algebraically solve this for [tex]y[/tex]
[tex]4x-3(2x-3)=31[/tex]
Distribute.
[tex]4x-6x+9=31[/tex]
Add like terms.
[tex]-2x+9=31[/tex]
Subtract [tex]9[/tex] from both sides.
[tex]-2x=22[/tex]
Divide both sides by [tex]-2[/tex]
[tex]x=-11[/tex]
Now plug in that value to the first equation:
[tex]y=2(-11)-3[/tex]
Multiply.
[tex]y=-22-3[/tex]
Subtract.
[tex]y=-25[/tex]
The solution is (-11, -25)
GIVING BRAINLEST TO THE PERSON THAT CAN EXPLAIN HOW TO DO THIS THE BEST :)
Answer:
18√6
Step-by-step explanation:
From Pythagoras theorem,
b^2 + p^2=h^2
or, 1^2 + p^2 = 5^2
or, p^2=25 - 1
or, p=√24
or, p=2√6 (√24 = √4*√6
= 2*√6
= 2√6)
Again,
we know,
Area of parallelogram (A) = bash*height
=9*2√6
=18√6
the GCF factor the given expression: 21xy + 14y
7(3xy + 2y)
7y(3x + 2)
3(7xy + 14y)
7xy(3 +2)
NEXT
Answer:
7y
Step-by-step explanation:
GCF for 21xy+14y is: 7y
because GCF is greatest common factor. y is common for both units so take it out and greatest number that both numers can divide by is 7,
so 7y.
Check:
7y(3x+2)
7y*3x + 7y*2
21yx + 14y
true
what is x and y?
2x-2y=-4
2x+y=11
Is there infinitely many solutions, 1 solution, or nosolution
Let's solve your system by substitution.
2x−2y=−4;2x+y=11
Rewrite equations:
2x+y=11;2x−2y=−4
Step: Solve2x+y=11for y:
2x+y=11
2x+y+−2x=11+−2x(Add -2x to both sides)
y=−2x+11
Step: Substitute−2x+11foryin2x−2y=−4:
2x−2y=−4
2x−2(−2x+11)=−4
6x−22=−4(Simplify both sides of the equation)
6x−22+22=−4+22(Add 22 to both sides)
6x=18
6x/6 = 18/6
(Divide both sides by 6)
x=3
Step: Substitute3forxiny=−2x+11:
y=−2x+11
y=(−2)(3)+11
y=5(Simplify both sides of the equation)
Answer:
x=3 and y=5
PLSSS HELP IF YOU TURLY KNOW THISS
Answer:
C. 5 1/2
Step-by-step explanation:
Hope this helps!
Have a blessed day!!
PLS HELP WILL MARK YOU BRAINLIEST! NO FAKE ANSWERS!
Answer:
See below ~
Step-by-step explanation:
Finding m∠HCG
HE is the diameter line [= 180°]∠ECF + ∠FCG + ∠HCG = 180°60° + 75° + ∠HCG = 180°∠HCG = 180° - 135°∠HCG = 45°Finding m∡DF
∠ECF + ∠DCE60° + 45°105°Answer:
m∠HCG = 45°
m∡DF = 105°
Step-by-step explanation:
m∠ECD + m∠ECF + m∠FCG
= 45° + 60° + 75°
= 180°
As angles on a straight line always sum to 180°, we can conclude that the line DG is a straight line and the diameter of the circle, and the Point C is the center of the circle.
Assuming that line EH is also a straight line, using the vertical angles are always congruent theorem, m∠ECD = m∠HCG.
Therefore, m∠HCG = 45°
We always measure arcs in a counterclockwise direction.
⇒ m∡DF = m∡DE + m∡EF
= 45° + 60°
= 105°
HELP PLS HOW YOU GET ANSWER
Answer: d, the diameter, is about 36.92 units
Step-by-step explanation:
The c value is the circumference and we are being asked to solve for the diameter.
We can take the value they give for the circumference, plug it into the circumference formula, and solve for d. Please note that the diameter is two times the radius, or r, so at the end I will multiply r by two.
C = 2πr
(116) = 2πr
18.46 ≈ r
r ≈ 18.46
-
18.46 * 2 = 36.92
The missing measure is about 36.92 units.
What’s The Answer Of This? PLEASE HELP
Answer: 68 degrees
Step-by-step explanation:
At a school assembly, there are 150 students. If the students are to be dismissed in groups of 10, how many groups will be made?
Answer:
15 groups would be made.
Explanation:
150 divided by 10 = 15
solve for N.
8/10 = 4/N
Answer:
5
Step-by-step explanation:
Cross multiply
8n = 40
N = 5
Answer:
n= 5
Step-by-step explanation:
1. Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
8/10-(4/n)=0
2. Simplify 4/n = after that the equation will be 8/10 - 4/n = 0
3. Simplify 4/5 = after that the equation will be 4/5 - 4/n = 0
Between 3 pm and 6 pm the temperature dropped from 88 degrees to 60 degrees frond the percent of decrease
Answer:
31.81%
10.60% per hour
Step-by-step explanation:
88 - 60 = 28
28/88 = .31818181818
.31818181818 = 31.81%
.31818181818/3 = .10606060606
.10606060606 = 10.60%
What is the answer of two times two (2x2=)
Answer:
=> 2 × 2 = 4
Step-by-step explanation:
two times two is four
Answer:
2x1=1
2x2=4
so the answer is 4
Step-by-step explanation:
subtract R from 6. Then add 3
Find the 12th term of the geometric sequence 2, -8, 32,
Answer:
what kind of term is this
Step-by-step explanation:
The length of a rectangle is 8 feet more than its width. the area of the rectangle is 97 ft.² determine the length and width of the rectangle
Answer:
L = [tex]\sqrt{113}[/tex] +4
W = [tex]\sqrt{113}[/tex] -4
or L = 14.63 ft, and W = 6.63 ft
Step-by-step explanation:
Let L be the length and W the width.
We are told that the "length of a rectangle is 8 feet more than its width:"
L = W+8
Area of the rectangle is given by L*W, and is 97 [tex]ft^{2}[/tex]
L*W = 97
Substituting L=W+8, we get:
(W+8)W=97 [tex]ft^{2}[/tex]
[tex]W^{2}[/tex] + 8W = 97
[tex]W^{2}[/tex] + 8W - 97 = 0
The roots to this equation are:
-4-[tex]\sqrt{113}[/tex], and[tex]\sqrt{113}[/tex] -4Only the second gives a positive value, so W = [tex]\sqrt{113}[/tex] -4
Since L=W+8, the length, L, is [tex]\sqrt{113}[/tex] -4 + 8 or [tex]\sqrt{113}[/tex] +4
In decimal:
L = 14.63 ft, and W = 6.63 ft
Simplify 2(-3n - 5) + 5n
Answer:
-1n-10
Step-by-step explanation:
EXPLANATION:
Use PEMDAS it will show u from where to start first and you will end up with the right result
PEMDAS : Parentheses, Exponents, Multiplication and Division, Addition and Subtraction
2(-3n-5) + 5n
distribute 2 in the parantheses
-6n-10+5n
-1n-10
8.6.PS-8
Find the area of this circle. Use
3.14 for n.
3 ft
.
The area of the circle is about ft2.
(Round to the nearest hundredth as needed.)
Marco and Juan entered a trivia competition. When they miss a question,they lose points.
Worth 41 points!
A camp counselor buys lunch for her campers at a nearby fast food restaurant. On Monday, she purchased 5 hamburger meals and 6 chicken nugget meals, for a total of $39. On Thursday, she purchased 9 hamburger meals and 2 chicken meals, for a total of $35. Which pair of equations could be used to determine the cost of each type of meal?
Answer:
4x+3y=23
Step-by-step explanation:
4x+3y=23
2x+6y=34 multiply equation by 2 to get x values equivalent, so
4x+12y=68 now subtract firs equation from this
-(4x+3y=23)
so 9y=45 and y=5
now find x:
4x+3(5)=23
4x+15=23
4x=8
x=2
So, hamburgers cost $2 and chicken nuggets $5.
Find the area of the figure.
Step-by-step explanation:
such problems are always the combination of areas of simple figures.
in our case here the simplest way seems to me to calculate the area of the whole 15×15 square (the side lengths are 15 and 9+6 = 15) and then subtract the small 6×6 square (top left), the small 6×3 triangle (bottom right) and the larger 6×9 triangle (top right).
we know that the left side of the main square is 9+6 = 15.
we know that the missing side piece (top right) is also 6 (like its left side). and the right side piece is 15-6-6 = 3.
that is how we know the side lengths of the missing pieces.
so,
15×15 = 225 cm²
the small square is
6×6 = 36 cm²
the large triangle is
6×9/2 = 3×9 = 27 cm²
the small triangle is
6×3/2 = 3×3 = 9 cm²
so, the total area of the figure is
225 - 36 - 27 - 9 = 153 cm²
A toy manufacturing organization manufactures two types of toys A and B. Both the toys are sold at birr 25 and birr 20 respectively. There are 2000 resource units available every day from which the toy A requires 20 units while toy B requires 12 units. Both of these toys require a production time of 5 minutes. Total working hours are 9 hours a day. How much is the maximum profit?
Answer:
The answer is B I did this already
An equation that is true for all values of the variables in its domain is _____.
a property
a function
an identity
a formula
An equation that is true for all values of the variables in its domain is an identity
Hope that helps!
Sharon bought 4/5 pound of flour for $1. What is the cost of 1 whole pound of flour?
look at the question!!
Answer:
The right answer is G. 9
Step-by-step explanation:
(11y-36)° = 63°
11y = 63 + 36
y = 99 ÷ 11 = 9
y = 9
WILL MARK BRAINLIST!!!
Answer:
[tex]3/4[/tex]
Step-by-step explanation:
We are asked to find the difference which means we will be using subtraction.
We are given two numbers to use [tex]4\frac{1}{12}[/tex] (Houston to Dallas) & [tex]3\frac{1}{3}[/tex] (San Antonio to Houston).
To be able to subtract, we need to have the same denominator on both fractions, which we can do by multiplying 1/3 by 4
[tex]\frac{1}{3} * 4=\frac{4}{12}[/tex]
now we can subtract the numbers and simplify!
[tex]4\frac{1}{12} -3\frac{4}{12} =\frac{9}{12} =\frac{3}{4}[/tex]