Answer:
54,710
Step-by-step explanation:
multiply the average by 5 to get the amout that they should all have togetehr (271,000) and the add the 4 people's money together (216,290) and then subtract them
The annual income of the fifth salesperson is $54710 if the average annual income for five salespeople last year was $54,200.
What is average?It is defined as the single number that represents the mean value for the given set of data or the closed value for each entry given in the set of data.
It is given that:
The average annual income for five salespeople last year was $54,200. Four of the salespeople earned these annual amounts: $58,125; $53,190; $48,975 and $56,000.
Let x be the annual income of the fifth salesperson:
$54,200 = ($58,125+$53,190+$48,975+$56,000+x)/5
271000 = 216 290 + x
x = $54710
Thus, the annual income of the fifth salesperson is $54710 if the average annual income for five salespeople last year was $54,200.
Learn more about the average here:
brainly.com/question/24057012
#SPJ2
Simplify
2 x m x n x 8
The simplification for the given expression is 16mn.
What is an Algebraic expression?An algebraic expression can be obtained by doing mathematical operations on the variable and constant terms.
The variable part of an algebraic expression can never be added or subtracted from the constant part.
The given expression is as below,
2 x m x n x 8
Since multiplication of two algebraic terms can be done by first multiplying their coefficients and then the variables.
Apply the above mentioned rule to get,
2 x m x n x 8
= 2 x 8 x m x n
= 16 x m x n
= 16mn
Hence, the given expression is simplified as 2 x m x n x 8 = 16mn.
To know more about algebraic expression click on,
brainly.com/question/953809
#SPJ2
Nicolas sold 86 newspapers on Monday 79 on Tuesday and 68 on Wednesday and 83 on Friday how many newspapers did Nicholas sell on Thursday if he sold a total of 391 in five days?
Define a variable, write an equation, then solve.
Answer:
75
Step-by-step explanation:
86+79+68+83=316
391-316=75
Answer:
75 newspapers
Step-by-step explanation:
391 is equal to the combination of all the newspapers Nicholas sold over those 5 days. This can be written as an equation:
391 = 86 + 79 + 68 + 83 + x
x represents the number of newspapers Nicholas sold on Thursday.
Now let's solve for x:
First, combine like terms:
391 = 316 + x
now subtract 316 from both sides to isolate x:
391 - 316 = 316 - 316 + x
75 = x
Nicholas sold 75 newspapers on Thursday.
which expression is equivalent to -51 -(-60)
Answer:
-51 + 609I hope this helps!
test the symmetric of a function f(x)=x5+x3+x plz answer my question and you will be mark as brainly
Answer:
Step-by-step explanation:
2000264(X) b x a =177777082
Marking brainless!!!
Answer:
A
Step-by-step explanation:
17x-6+3x-5=x+11+4x simplified
Answer:
x = 22/15
Step-by-step explanation:
hope that helped
Which trigonometric identity is given by the formula adjacent side/opposite side?
A. tan
B. cot
C. sin
D. cos
Answer:
cot= adjacent side/opposite side
Option B is correct.
Step-by-step explanation:
We need to identify trigonometric identity which is given by the formula adjacent side/opposite side
The trigonometric identity for tan is
tan= opposite side/adjacent side
But We are given adjacent side/opposite side
Since cot is inverse of tan so, formula of cot is:
cot= adjacent side/opposite side
Option B is correct.
r= 5.5 = 18.2 please its not for me though but help
Answer:
What is the question? are we supposed to find something that equals r?
HELLPP. ITS URGENT.50 PTS
Please show working.
Question : If α and β are roots of the quadratic equation : 4x²-5x-1=0, find the quadratic equation whose roots are :
(See image for full question . No (IV) and (v))
Answer:
I replaced alpha by A and bitta by B. Sorry for this mistake
Answer:
4x² - 13x + 8 = 04x² - 11x + 5 = 016x² - 41x + 1 = 0x² + 5x + 4 = 0x² - 66x + 64 = 0Step-by-step explanation:
Given
α and β are roots of 4x²-5x-1=0Then the sum and product of the roots are:
α+b = -(-5)/4 = 5/4αβ = -1/4(i) Roots are α + 1 and β + 1, then we have:
(x - (α + 1))(x - (β + 1)) = 0(x - α - 1)(x - β - 1) = 0x² - (α+β+2)x + α+β+ αβ + 1 = 0x² - (5/4+2)x +5/4 - 1/4 + 1 = 0x² - 13/4x + 2= 04x² - 13x + 8 = 0(ii) Roots are 2 - α and 2 - β, then we have:
(x + α - 2)(x + β - 2) = 0x² + (a + β - 4)x - 2(α + β) + αβ + 4 = 0x² + (5/4 - 4)x - 2(5/4) - 1/4 + 4 = 0x² - 11/4x - 10/4 - 1/4 + 16/4 = 0x² - 11/4x + 5/4x = 04x² - 11x + 5 = 0(iii) Roots are α² and β², then:
(x - α²)(x-β²) = 0x² -(α²+β²)x + (αβ)² = 0x² - ((α+β)² - 2αβ)x + (-1/4)² = 0x² - ((5/4)² -2(-1/4))x + 1/16 = 0x² - ( 25/16 + 1/2)x + 1/16 = 0x² - 33/16x + 1/16 = 016x² - 33x + 1 = 0(iv) Roots are 1/α and 1/β, then:
(x - 1/α)(x - 1/β) = 0x² - (1/α+1/β)x + 1/αβ = 0x² - ((α+β)/αβ)x + 1/αβ = 0x² - (5/4)/(-1/4)x - 1/(-1/4) = 0x² + 5x + 4 = 0(v) Roots are 2/α² and 2/β², then:
(x - 2/α²)(x - 2/β²) = 0x² - (2/α² + 2/β²)x + 4/(αβ)² = 0x² - 2((α+β)² - 2αβ)/(αβ)²)x + 4/(αβ)² = 0x² - 2((5/4)² - 2(-1/4))/(-1/4)²x + 4/(-1/4)² = 0x² - 2(25/16 + 8/16)/(1/16)x + 4(16) = 0x² - 2(33)x + 64 = 0x² - 66x + 64 = 0how many times bigger is 2 times 10 to the 10th power than 150 million
Answer: 2 x 10^10 =20000000000
and 150,000,000 is 150 million so you subtract and you get
19,850,000,000
Step-by-step explanation:
A $ 4.00 sales tax is charged for a $ 50.00 purchase . At this rate, what is the sales tax for a 1200.00 purchase
Sales tax for the purchase of $50 is $4
Therefore, x% of 50 = 4
(x%) 50 = 4
x/100 x 50 = 4
x/2 = 4
x = 4 x 2
x = 8
Therfore, there is a 8% sales tax on the purchase.
Sales tax on the purchase of $1200 = 8% of 1200
= 8/100 x 1200
= 8 x 12
= 96
A $96.00 sales tax is charged on a purchase of $1200.00
Lily was shopping and saw the following prices on different packages of the same item as shown in the diagram below
Answer:
Package B has a unit rate of $1.50 per bag
Step-by-step explanation:
its the correct answer if its wrong deal with it
Plz plz plz I need 546463+54543 times 64 it’s due in 4 min
Woah! Those are some big numbers! Anyways heres my answer: I used the old school way of fuigreing this out but using the pencil and paper I fuigred out 546463+54543 is equal to 601006 and if you were to multiply this by 64 (it took a LONG time for me and quite a few mess ups) its 38464384. Though I gave you the answer I'm just wondering if you could use a calculator because it would be a whole lot easier if you were able to do so.
How do you find the exterior angle of this one tho?
Answer:
To find the exterior angle of any polygon, just construct a line following one of the sides, and measure the angle.
Step-by-step explanation:
PLS GIVE BRAINLIEST
No question given. Repost.
Relationship B has a greater rate than Relationship A. This graph represents Relationship A. Which equations could represent Relationship B? Select each correct answer.
Answer:
The answer is A. Sorry, i dont have enough time to support my answer. I am rushing sdjeuesjcvjs
Is this correct ? Please help me
Answer:
Median: 8
Minimum: 3
Maximum: 15
First quartile: 6
Third quartile: 12.5
Interquartile Range: 6.5
Outliers: none
Step-by-step explanation:
Find the product of the binomials,
(x - 3)(x + 2) (x + 4) =
Answer:
Step-by-step explanation:
(x - 3)(x + 2) (x + 4) =
x^3+3x^2-10x-24
Answer:
x^3+3x^2-10x-24
Step-by-step explanation:
(x - 3)(x + 2) (x + 4)
multiply the first two together first
(x^2+2x-3x-6)(x+4) add like terms first
(x^2-x-6)(x+4)
then multiply
x^3+4x^2-x^2-4x-6x-24
add like terms
x^3+3x^2-10x-24
ns
2014
x ft
Solve for
Write your answers as a simplified radical and a decimal rounded to the nearest tenth. Enter your answer
as an equation, for instance x = your answer. If the answer is an integer value, leave the simplified radical
box empty
Simplified radical:
Decimal:
What are the slope and the y-intercept of the line that represents plant A's height in inches in terms of the number of weeks? (Hint: The formula
for slope is slope = rise/run, and the y-intercept is the y-coordinate when x = 0.)
Answer:
Plant A is y=2x+6
Step-by-step explanation:
Slope: 2
Y-intercept: 6
What will be the coordinates of point M of the image after the rotation?
0 (-4, 1)
0 (-1,4)
O (1-4)
O (4,1)
The two sides of a triangular park enclosing the right angle
are 200m and 150m. What would be the area of the park?
Step-by-step explanation:
could you please mark me as the brainliest answer
Step-by-step explanation:
The sides enclosing the right angle are the perpendicular and the base of the right angled triangle.
Then the area of the triangle will be
2
1
×150×200=15,000 m
2
.
What is the value of x that makes the statement true?
12x + 16 = 50x - 3
x =
Answer:
x = 1/2Step-by-step explanation:
Given
12x + 16 = 50x - 3Solving for x
12x + 16 = 50x - 350x - 12x = 16 + 338x = 19x = 19/38x = 1/2What number is in the tenths place in 12.75
Answer:
7
Step-by-step explanation:
Answer:
7
Step-by-step explanation:
THe number right after the decimal in the right side is the tenths place and 7 is the right after the right side of the decimal
Shasta pools is building my pool. I want the pool to be 8ft longer that it is wide and I want it to cover 240 square ft. Which equations would I use to model the area of the pool? *
Answer:
area = w² + 8w
Step-by-step explanation:
the equation for calculating the area of something is:
area = length x width
length = 8 + width
area = (8 + width) x width
I will use w instead of width
area = w² + 8w
we can solve for w:
240 = w² + 8w
w² + 8w - 240 = 0
(w - 20) x (w + 12) = 0
so we know that the length of the pool is 20 feet and the width is 12 feet
Monique is throwing a birthday party and wants to buy an assortment of desserts. She buys a cake for $25, a gallon of ice cream for $4.50, and (c) cupcakes for $1.50 each. If she wants to spend at most $45 how many cupcakes can she purchase?
Answer:
Step-by-step explanation:
She wants to spend $45. Take the 45-25 for the cake.
$20.00 left. Ice cream is $4.50 20-4.50= 15.50 left
$15.50 divided by the cost of each cupcake $1.50
15.50/1.50=10 cup cakes
x + 2x + (-24)
How do I do this
Answer:
Since it is not an equation you would combine like terms and the answer would be 3x + (-24)
Step-by-step explanation:
There is no answer technically, you're just simplifying
Answer:
Step-by-step explanation:
you can't solve you don't know what X is so x+ 2x + (-24) is the answer
Dee is painting some fencing. After 2/3 hour, she has painted 4 1/2 feet of fencing. What is the rate, in feet per hour, at which she is painting? Express your answer as a mixed number.
Answer:
6 3/4 feet per hour
Step-by-step explanation:
2 1/4 feet per 1/3 hour
4 1/2 feet for 2/3 hour
6 3/4 for 1 hour
HOPE THIS HELPS
PLZZ MARK BRAINLIEST
Which division problem does the model below show?
1
1
1
1
1
1
1
1
1
8
1
8
1
6
5
1
1
1
1
1
1
1
1
6
ö
1
6
fo
-lo
1
6
Ok
Answer:
4÷1/6=24
Step-by-step explanation:
5x +9–3(x-1)=(3x –13)+(4x -30)
Help please
Answer:
x = 11
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesStep-by-step explanation:
Step 1: Define equation
5x + 9 - 3(x - 1) = (3x - 13) + (4x - 30)
Step 2: Solve for x
Distribute 3: 5x + 9 - 3x + 3 = 3x - 13 + 4x - 30Combine like terms: 2x + 12 = 7x - 43Subtract 2x on both sides: 12 = 5x - 43Add 43 on both sides: 55 = 5xDivide 5 on both sides: 11 = xRewrite: x = 11Step 3: Check
Plug in x into the original equation to verify it's a solution.
Substitute in x: 5(11) + 9 - 3(11 - 1) = (3(11) - 13) + (4(11) - 30)Multiply: 55 + 9 - 3(11 - 1) = (33 - 13) + (44 - 30)Subtract: 55 + 9 - 3(10) = 20 + 14Multiply: 55 + 9 - 30 = 20 + 14Add: 64 - 30 = 34Subtract: 34 = 34Here we see that 34 does indeed equal 34.
∴ x = 11 is a solution of the equation.
Answer:
x=11
Step-by-step explanation:
[remember: (-)(-) is (+) , (-)(+) is (-) , (+)(+) is (+)]
5x + 9 – 3(x-1) = (3x –13) + (4x -30)
5x + 9 -3x + 3 = 3x -13 + 4x -30
5x -3x + 9 + 3 = 3x + 4x -13 -30
2x + 12 = 7x - 43
2x - 7x = -43 - 12
-5x = -55
x = -55/-5
x = 11
hope you understood!!
how do you figure out proofs
Answer:
By giving reasons to the statements