Answer:
The son received 2,615.38.
Step-by-step explanation:
In order to know how much the son received, it is best to use algebraic expressions in finding the children's individual shares.
Let x be the son's share and [tex]\frac{3x}{4}[/tex] be the share of each daughter.
The equation will be: 8,500 = x + [tex]\frac{3x}{4}[/tex] + [tex]\frac{3x}{4}[/tex] + [tex]\frac{3x}{4}[/tex]
Next step is: 8,500 = [tex]\frac{3x+3x+3x+4x}{4}[/tex]
8,500 = [tex]\frac{13x}{4}[/tex]
8,500 × 4 = 13x
34,000 = 13x
[tex]\frac{34,000}{13}[/tex] = x
x = 2,615.38
The son received 2,615.38
Let's get the share of each daughter:
[tex]\frac{3x}{4}[/tex] = [tex]\frac{(3)(2,615.38)}{4}[/tex] = 1,961.54
Each daughter will receive 1,961.54
Let's check: 2,615.38 + 1,961.54 + 1,961.54 + 1,961.54 = 8,500
In March it rained 8.23 inches. It rained 5.96 inches less in April than in March.
How much did it rain in April?
I will give brainliest :)
Write an equation to represent the following situation.
You go to Montgomery's and have $10 to spend.
Drinks cost $2, a bag of chips costs $1, and a pack of
gum costs $0.50. If you buy four bags of chips, how
many drinks can you buy?
•4 + 2x = 10
•2x + 1 = 10
•4 + 2x = 0.50
•1+ 2+ 4 = 10
Answer:
4 + 2x = 10
x = 3
Step-by-step explanation:
The most common type of harmony in the Baroque Period was:
a
Polyphony
b
Monophony
c
Homophony
*please None i will give you 12 points*
Question:
The most common type of harmony in the Baroque Period was
answer: Harmony came to be thought of as chords that laid the foundation for the melody. Major and minor as we know them today became established as keys instead of modes, and the harmonic patterns of tonality began to evolve. hmm
Polyphony is having multiple voices, harmony is how those multiple voices interact and relate to each other. Polyphony doesn't necessarily mean playing at the same time either, just the act of having multiple voices in a piece. Melodic independence and consonant treatment. so i think it is A.Polyphony
What is the equation for the following graph?
Answer:
x=4
Step-by-step explanation:
to calculate the perimeter of the parallelogram you need the two side lengths 12 inches and 15 inches
Answer:
the answer would be 54
Step-by-step explanation:
If the shape is a parallelogram then two sides will be equal lengths. same with the other two sides.
if you need the perimeter then you need to add the lengths of all the sides. so that would be 12 12 15 and 15. Add those together and you get 54 inches.
Answer:
i think the answer is 54
The function
The function g(x) has a slope of —5/6. The value of g (x) is 5 when x is 6. Explain how the graph
of g(x) can be used to find the x-intercept. (2 points)
Item
help lol due tonight
Answer:
Can't see your questions clearly
Step-by-step explanation:
PLEASE HELP PLEASE i really need help
Answer:
The constant of proportionality is 6 because 6x2=12 6x4=24 6x6=36 and it keep going
Step-by-step explanation:
The tensile strength of paper is modeled by a normal distribution with a mean of 35 pounds per square inch and a standard deviation of 2 pounds per square inch.
Required:
a. What is the probability that the strength of a sample is less than 38 lb/in²?
b. If the specifications require the tensile strength to exceed 30 lb/in², what proportion of the samples is scrapped?
Answer:
a) the probability that the strength of a sample is less than 38 lb/in² is approximately 0.9332
b) approximately 0.62% of the sample are scrapped
Step-by-step explanation:
a)
What is the probability that the strength of a sample is less than 38 lb/in²?
lets X rep the paper tensile strength in pounds per square inch.
the probability that the strength of the sample is less than 38 lb/in²
i.e P( X < 38 )
so assuming that X is normally distributed with u = 35 lb/in² and α = 2 lb/in²,
so the probability expression P( X < 38 ) can be standardized as
P( X < 38 ) = P( (X-35)/2 < (38-35)/2)
= P( X < 1.5 )
from the cumulative standard normal distribution table,
we find P( X < 1.5 ) = 0.9332
so
P( X < 38 ) = P( X < 1.5 )
= 0.9332
therefore the probability that the strength of a sample is less than 38 lb/in² is approximately 0.9332
b)
If the specifications require the tensile strength to exceed 30 lb/in², what proportion of the samples is scrapped?
this can be represented as P( X < 30 )
By standardization the probability expression P( X < 30 ) can be transformed as;
P( X < 30 ) = P( (X-35)/2 < (30-35)/2)
= P( z < -2.5 )
from the cumulative standard normal distribution table,
we find P( X < -2.5 ) = 0.0062
so
P( X < 30 ) = P( X < -2.5 )
= 0.0062
therefore, approximately 0.62% of the sample are scrapped
What is the sales tax rate if a $7,594 purchase will have $569.55 of sales tax added to it?
Answer:
Step-by-step explanation:
577.144
For the function below, find ordered pairs for: x = -2 and x = 5 y = 9 - 4x
Answer:
(- 2, 17 ) and (5, - 11 )
Step-by-step explanation:
Given
y = 9 - 4x
Substitute the given values of x into the equation and evaluate for y
x = - 2, then
y = 9 - 4(- 2) = 9 + 8 = 17 ⇒ (- 2, 17 ) ← ordered pair
x = 5, then
y = 9 - 4(5) = 9 - 20 = - 11 ⇒ (5, - 11 ) ← ordered pair
Calculate the mean, the variance, and the standard deviation of the following discrete probability distribution. (Negative values should be indicated by a minus sign. Round intermediate calculations to at least 4 decimal places. Round your final answers to 2 decimal places.) x −41 −27 −8 −3 P(X = x) 0.29 0.35 0.21 0.15
Answer:
a) Mean is -23.47
b) Variance is 206.59
c) standard deviation is 14.37
Step-by-step explanation:
Given that;
x −41 −27 −8 −3
P(X = x) 0.29 0.35 0.21 0.15
X.P -11.89 -9.45 -1.68 -0.45
a) mean
Mean = ∑X.P = -11.89 + -9.45 + -1.68 + -0.45
Mean = -23.47
b) the variance
E(x²) = ∑x²P(X=x)
= (−41²×0.29) + (−27²×0.35) + (−8²×0.21) + (−3²×0.15)
= 487.49 + 255.15 + 13.44 + 1.35
= 757.43
So
Var(X) = E(x²) - [∑X.P]²
Var(X) = 757.43 - [-23.47]²
= 757.43 - 550.8409
= 206.5891 ≈ 206.59
Therefore Variance is 206.59
c) standard deviation
standard deviation SD(X) = √Var(X)
SD(X) = √206.5891
= 14.3732 ≈ 14.37
Therefore standard deviation is 14.37
Kelly is six years younger than her sister for some of their age is 34 years how old is Kelly and how old is her sister?
Answer:
If her sister is 34 then Kelly will have to be 28
105 people must be split into 3 equal groups. How many people in each group?
Answer:
35 people in each
Step-by-step explanation:
105÷3=35
Shen’s mother gave him $10 to go buy groceries. He picked up a gallon of milk for $3.49, three pounds of oranges that cost $1.14 per pound, and a box of cereal for $3.46. Shen used front-end estimation to determine whether he had enough money for the groceries. How much did he estimate the total cost would be?
He estimated that he had about $7 worth of groceries.
He estimated that he had about $9 worth of groceries.
He estimated that he had about $10.30 worth of groceries.
He estimated that he had about $10.40 worth of groceries.
Answer:
He estimated there were about $10.40 worth of groceries
Step-by-step explanation:
You want to round the prices up to the nearest tenth and then add them all.
3.50
3.50
1.15
1.15
1.15
___
10.45
So 10.45 is closest to 10.40 and you have to remeber that this is just an estimate so it will be less because we rounded the answer up.
Hope this helps
Answer:
$9 its be heres my work
Step-by-step explanation:
Gallon of milk: $3.49
3lbs oranges: $1.14(3) = $3.42
Box of cereal: $3.46
Front end estimation is taking the number in front and the rest of the numbers coming after it will be zeroes.
Using front end estimation:
$3.49 => $3.00
$3.42 => $3.00
$3.46 => $3.00
Add all these up; Shen estimated the total cost of the groceries would be $9.00.
Which equation has the correct sign on the product?
A 45(-4)=180 B 13•3= -39
C (-8)(-8)= -64 D (-18)4 = -72
answer:
the answer is a
Find all x-intercepts of the function. Express your answer as a list of x-values
f(x) = x^3+x^2+x-1
Answer:
(0.54368901,0)
Step-by-step explanation:
Subsititute 0 for y and solve to find the x-intercepts.
Find the measures of Angles A,B, and C
Answer:
A = 102 B = 78 C = 56
Step-by-step explanation:
All three sides of a triangle added up equals 180.
So 41 + 37 + A = 180
A = 102
A straight line = 180 degrees.
One measurement is 102, so the other is 78.
You now know B is 78, and that 3 angles equal 180.
46 + 78 + c = 180
c= 56
which equation is equivalent?
Answer:
C
Step-by-step explanation:
ΔXYZ was reflected to form ΔLMN. Triangle X Y Z is reflected to from triangle L M N. Angle Z Y X is 86 degrees and angle Y X Z is 38 degrees. Angle L N M is 56 degrees and angle N M L is 86 degrees. Which statements are true regarding the diagram? Check all that apply.
Answer:
A,B,C and F
Step-by-step explanation:
i just took the assignment
Answer:
a,b,c,f
Step-by-step explanation:
edg 2021
5081 divided by 203, the quotient is? Siusjsia
Answer:
The quotient is 25.0295566502.
I need help ASAP
Choose the following equations that are TRUE:
A 4+4+4= 3 x 4
B 4-3 = -43
C (43)* = 412
D 4² (44) = 47
E 4° = 0
1
וד
(
43
= 4-3
G 4 x 4 x 4 = 42
a is correct
Step-by-step explanation:
a 12=12
if we add4 three times then answer =12 and if do 3×4 then answer is also 12
One pound of candies costs $3.50.
How many pound of candies can be bought for $7?
Answer: 2 pounds
Step-by-step explanation: 3.50 + 3.50 = 7$ so the answer is 2
Answer:
2 pounds of candy can be bought for $u
Step-by-step explanation:
We have 2 "$3.50" in "$7" and we know that for every $3.50 we have, we can buy 1 pound of candies. Therefore, for $7, we can buy 2 pounds of candies
I hope this helps! :)
If ABC=DEC b=48degree and E=x+4
X=
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex]x + 4 = 48[/tex]
Subtract sides 4
[tex]x +4 - 4 = 48 - 4[/tex]
[tex]x = 44°[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
The graph of an equation with a negative discriminant always has which characteristic?
OO
no x-intercept
no y-intercept
no maximum
no minimum
Invalid data.
23. 6) Word Problem:
Bill makes $30.00 per day. He makes twice as much as Jack makes before
Jacks's salary was doubled. How much does Jack make now?
24. 7) A purchase of $0.73 is made by a customer. The customer hands you a $10.00 bill.
How much change should you give back?
25. 8) A customer buys 3 items at $0.25 each, 2 items at $0.55 each, and 1 other item for
$0.15. Assuming the tax rate on a dollar is 2%, how much will the total transaction be?
26. 9) How many nickels are there in a $2.00 roll?
Answer:
23.6) $30.00
24.7) $9.27
25.8) I'm not sure
26.9) 40 nickles
Step-by-step explanation:
You start an account with $2,500 and an annual interest rate of 6.5% compounded yearly. How much is in the account after 7 years?
I need an expression and a solution
I'm pretty sure it's this:
Answer:
y=a( 1+ r/n)^ nt
growth is a= 2500 yearly is n= 1
y= 2500( 1+ .065/1)^ 1.7 = $3884.97
Choose the definition for the function PLS HELP
Answer:
Which function please explain
There are 24 female performers in a dance recital. The ratio of men to women is 7:8. How many men are in the dance recital?
Question 1
20 pts
Patty earns $81,223 a year. $13,725.35 in taxes was withheld in the
year. Private health insurance cost $5,600 a year. What is her
monthly after-tax income?
$5,158.14
$5,490.90
O $5,521.80
$5,383.12
Answer:
$5,158.14
Step-by-step explanation:
$81,223 - $13,725.35 - $5,600 = $61 897.65
$61 897.65 ÷ 12 = $5158.1375 ⇒ $5158.14