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
whats the surface area of this shape?
Answer:
168 square units
Step-by-step explanation:
From left to right, top to bottom
1. 5 x 10 = 50
2. 5 x 8 = 40
3. 5 x 6 = 30
For the triangles since there is 2 of them and there the same we play it like there is 1 square
4 & 5. 8 x 6 = 48
Now add all them
50 + 40 + 30 + 48
50 + 40 = 90
30 + 48 = 78
90 + 78 = 168
Answer:
168 square units
Step-by-step explanation:
5*10 = 50 (left rectangle)
8*6 = 48 (top and bottom triangles, not dividing by 2 as there is two of that exact shape)
5*8 = 40 (middle rectangle)
6*5 = 30 (right rectangle)
Add them all up
50+48+40+30 = 168.
determine the slope of the line that passes through each pair of points (3,8) and (1,5)
Answer:
3/2
Step-by-step explanation:
A Ferris wheel 80 meters in diameter turns continuously, completing a single rotation once every 8 minutes. You must board the Ferris wheel at its lowest point from a platform located 5 meters above the ground. If you board the Ferris wheel at t=0, write and sketch a sinusoidal function to model your height above the ground after t minutes on the Ferris wheel. How high above the ground will you be after 5 minutes? How many minutes into the ride will it be when you first reach 35 meters above the ground?
Step-by-step explanation:
General form of a sine or cosine wave is:
y = ±A sin((2π/T) t) + B
y = ±A cos((2π/T) t) + B
where A is the amplitude, T is the period, and B is the vertical offset or midline.
The Ferris wheel is 80 meters in diameter or 40 meters in radius.
A = 40
The Ferris wheel turns once every 8 minutes.
T = 8
The lowest point is 5 meters above the ground, so the center of the Ferris wheel is 45 meters above the ground.
B = 45
At t=0, you're at the lowest point, so use -cos.
Therefore, the equation is:
y = -40 cos(2π/8 t) + 45
y = -40 cos(π/4 t) + 45
When t = 5:
y = -40 cos(5π/4) + 45
y = 20√2 + 45
y ≈ 73.3 meters
When y = 35:
35 = -40 cos(π/4 t) + 45
-10 = -40 cos(π/4 t)
1/4 = cos(π/4 t)
π/4 t ≈ 1.318
t ≈ 1.68 minutes
HELPPPP PLEASEEE ASAPPPPP
Answer:
Step-by-step explanation:
PQRS
PQ + QR + RS + PS = 186
RS = SP - 7
PQ = RS = x - 7
QR = PS = x
2x + 2(x - 7) = 186
4x = 200
x = 50
PQ and RS = 43
QR and SP are 50
Rosa is saving money for a tripShe has already saved $250 and plans to save $40 per week. This situation can be represented by the function f(x) = 250 + 40x , where x is the number of weeks. How much money has Rosa saved after 6 weeks? (5 points ) 1 ) $ 490 2 ) $ 480 3 ) $ 250 4 ) $ 240
The answer is $490..
just trying to help people get points
Answer:
490
Step-by-step explanation:
Thanks!
Select the correct answer.
What is the product of (7/8)(-16)(-7)(-1/14)
A -7
B -9/16
C -1/7
D 23/12
Answer:
A -7
Step-by-step explanation:
[tex]\frac{7}{8}[/tex] * -16 = -14
-14 * -7 = 98 (2 negatives make a positive)
98 * [tex]\frac{-1}{14}[/tex] = -7
The function D(t) defines a traveler’s distance from home, in miles, as a function of time, in hours. Which times and distances are represented by the function? Select three options. The starting distance, at 0 hours, is 300 miles. At 2 hours, the traveler is 725 miles from home. At 2.5 hours, the traveler is still moving farther from home. At 3 hours, the distance is constant, at 875 miles. The total distance from home after 6 hours is 1,062.5 miles.
Answer:
B, D, E
Step-by-step explanation:
The times and distances that represents the travelers motion are;
At 2 hours, the traveler is 725 miles from home.At 2.5 hours, the traveler is still moving farther from home.At 3 hours, the distance is constant, at 875 miles.The total distance from home after 6 hours is 1,062.5 miles.The given parameters;
[tex]D(t) = 300t \ + \ 125, \ \ \ \ \ 0\leq t\leq 2.5\\\\D(t) = 875, \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 2.5 \leq t\leq 3.5 \\\\D(t) = 75t + 612.5 , \ \ \ \ \ \ 3.5 \leq t\leq 6 \\\\[/tex]
From the given distance function, we can calculate the distance traveled at each time;
at 0 hours, the starting distance of the traveler is calculated as;
[tex]D = 300(0) + 125\\\\D = 125 \ miles[/tex]
at 2 hours, the distance traveled is calculated as;
[tex]D = 300(2) + 125\\\\D = 725 \ miles[/tex]
at 2.5 hours, the distance traveled by the traveler is calculated as;
[tex]D = 300(2.5) + 125\\\\D = 875 \ miles[/tex]
At 3 hours, the distance traveled by the traveler is calculated as;
[tex]D(t ) = 875 \ \ \ \ \ 2.5 \leq t \leq 3.5\\\\D(3) = 875 \ miles[/tex]
The total distance from home after 6 hours is calculated as follows;
[tex]D = 75(6) \ + \ 612.5\\\\D = 1,062.5 \ miles[/tex]
Thus, the times and distances that represents the travelers motion are;
At 2 hours, the traveler is 725 miles from home.At 2.5 hours, the traveler is still moving farther from home.At 3 hours, the distance is constant, at 875 miles.The total distance from home after 6 hours is 1,062.5 miles.Learn more about time and distance here: https://brainly.com/question/2854969
What is the sales tax rate if a $7,594 purchase will have $569.55 of sales tax added to it?
Answer:
0.075
Step-by-step explanation:
If x= time in minutes, y= distance in miles, and y=1/6x. How far can you run 5 points
in 3 hours? Please please help
Answer: 30 miles
Step-by-step explanation:
3 hours is 180 minutes.
y=1/6(180)
y=30 mi
Tiffany took her friends out to dinner. If the dinner was $29.53 and she gave a 20% tip, how much money did she spend on dinner?
Answer: The answer is 35.43 because 29.53 times 20% is 5.90, so you add 5.90 to 29.53 to get 35.43.
Is (2, 2) a solution of y < 4.x - 6?
yes or no
Answer:
No
Step-by-step explanation:
y<4x-6
2<4(2)-6
2<8-6
2<2
No because it would be less than or equal to
Answer:
No
Step-by-step explanation:
y < 4x - 6
(2) < 4(2) - 6
2 < 8 - 6
2 < 2
2 is not less than 2 so NO
You walk 2/5 miles to a clothing store. Then you walk another 1/2 miles to a music store. How many miles have you walked in all?
Answer:
9/10ths of a mile. Or 0.9 miles.
Step-by-step explanation:
To get the total it's helpful to look at it in decimals:
2/5 mile = 0.4 miles (1 mile divided by 5 = 0.2 miles, times that by 2)
1/2 mile = 0.5 miles
Add them together = 0.9 miles.
Which is 9/10ths of a mile.
The total distance walked will be equal to [tex]\frac{9}{10}[/tex] miles or 0.9 miles.
It is given that you walk 2/5 miles to a clothing store and then walk another 1/2 miles to a music store.
We have to find out the total distance in miles that you have walked.
What do you mean by fractions ?
A fraction can be defined as a portion or part of any quantity or it defines a part of a whole.
As per the question ;
You walk 2/5 miles to a clothing store
and
then ; walk another 1/2 miles to a music store.
To find out the total distance walked by you in total , we need to add both the distances given in the question.
i.e.,
Total distance will be ;
= [tex]\frac{2}{5}[/tex] + [tex]\frac{1}{2}[/tex]
= [tex]\frac{4+5}{10}[/tex]
= [tex]\frac{9}{10}[/tex] miles
or
= 0.9 miles
Thus , the total distance walked will be equal to [tex]\frac{9}{10}[/tex] miles or 0.9 miles.
To learn more about addition of fractions click here ;
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11. The front and back walls of The front and back walls of an A-frame cabin are isosceles triangles, each with a base measuring 22’ and legs measuring 28’. The entire front wall is made of glass. If area = 1/2b*h how many square feet of glass is
needed.
Answer:
Total area = 308'
Step-by-step explanation:
Given:
Base = 22'
Height = 28'
Find:
Total area
Computation:
Total area = 1/2[b][h]
Total area = 1/2[22][28]
Total area = 308'
Does this graph represent a function? Why or why not?
A. No, because it fails the vertical line test.
B. No, because it is not a curve.
C. Yes, because it passes the vertical line test.
D. Yes, because it has two straight lines.
Evaluate: 2! + (8 - 3)!
Answer:
122
Step-by-step explanation:
2! = 2
(8-3)! =
(5)! = 120
2+120 =122
A photographer charges a sitting fee of $15 plus $3 for each pose. Write a function to describe the situation. Find a reasonable domain and range for up to 5 poses.
Please help i really don't understand how to find the domain and range.
Answer:y=3x+15
Step-by-step explanation: (1,18), (2,21), (3,24), (4,27), (5,30) domain is your x values 1,2,3,4,5. Range is your y values. I’d assume someone wouldn’t pay $15 for 0 poses.
The function for the given situation is f(x)=15+3x and a reasonable domain and range for up to 5 poses is 5 and 30 respectively.
Given that, a photographer charges a sitting fee of $15 plus $3 for each pose.
What is the function?Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
Let the number of poses be x and the total cost be y.
The function for the given situation is y=15+3x
Thus, f(x)=15+3x
For 5 poses:
Put x=5 in the obtained function, we get
f(5)=15+3(5)
= 15+15
= 30
So, the ordered pair is (5, 30)
Hence, the function for the given situation is f(x)=15+3x and a reasonable domain and range for up to 5 poses is 5 and 30 respectively.
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Choose the correct description of the graph of the compound inequality (1 point)
3x + 2 > 2 and 3x less than or equal to 6.
Question 17 options:
1)
A number line with an open circle on 0, shading to the left, and a closed circle on 2, shading to the right
2)
A number line with a closed circle on 0, shading to the left, and an open circle on 2, shading to the right
3)
A number line with a closed circle on 0, an open circle on 2, and shading in between
4)
A number line with an open circle on 0, a closed circle on 2, and shading in between
ycctc4ctctctctctctctctc5ctvtv5crctc5ctv5
I thought of a two-digit number. The unit digit of my number is 7 more than the tens digit cubed. What is my number?
Example: 110=2∙5∙11. Factors of 110:1, 2, 5, 11, 2∙5, 2∙11, 5·11, 2∙5∙11.
Problem : 1001=7∙11∙13
9514 1404 393
Answer:
18
Step-by-step explanation:
Only 1 and 2 will have single-digit cubes. Only 1^3 will still be a single digit after 7 is added. The tens digit must be 1, and the units digit must be 1+7=8.
The number is 18.
Noel bought 4 T-shirts and 2 pairs of pants for $92. The cost of each pair of pants is $22.
If all the T-shirts cost the same amount, the cost of each T-shirt is $
Answer:
each shirt costs $12.
Step-by-step explanation:
Answer: T shirt cost 12 dollars
Step-by-step explanation: The equation is 4x+44=92. Subtract 44 from both sides it becomes 4x=48. Divide it by 4 on both sides and the answer is x=12.
Which statement about AABC and ADEF is true?
^^^
A.
B.
C.
D.
A rectangular window is 4ft long and 3ft wide what is the area in square inches
Answer: 12 inches squared
Step-by-step explanation: 3x4
Answer:
1728 inches
Step-by-step explanation:
Convert each measurement to inches:
1 foot = 12 inches4 ft = 12 × 4 = 48 inches3 ft = 12 × 3 = 36 inchesFind the area:
48 × 36 = 1728I hope this helps!
Write an equation of the line with a slope of -2/7 and y intercept of 5
Answer:
y = -2/7+5
Step-by-step explanation:
Hope this helps!
The difference between John and
Jane's college tutition was
$1,130.75. If Jane's tuition was
$45,000.00, what are the two
possible costs for John's tuition?
Answer:
$46,130,75 or $43,869.25
Step-by-step explanation:
4x+c=w make x a subject
plz help me
answer me fast
and i want answer kn step by step
Answer:
x =w-c/4
Step-by-step explanation:
solution
here,
4x+c=w
or, 4x=w-c
:.x=w- c/x
As x subject, the linear equation is x = 1/4(w -c).
What is linear equation?Equations whose variables have a power of one are called linear equations. One example with one variable is where ax+b = 0, where a and b are real values and x is the variable.
We have a linear equation,
4x+c=w.
To make x a subject:
4x = w - c
x = 1/4(w -c)
Therefore, the expression is x = 1/4(w -c).
To learn more about the linear equation;
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Multiply (1.2 ⋅ 10^28) ⋅ (3 ⋅ 10^−19). Express the answer in scientific notation.
3.6 ⋅ 10^9
3.6 ⋅ 10^10
36 ⋅ 10^9
36 ⋅ 10^10
Answer:
3.6 • 10^9
Step-by-step explanation:
Through multiplying, we get 3,600,000,000
The number divided by 10^ 9 = 3.6
Therefore the Answer is 3.6 × 10^9
Look at the picture please!!!!
Answer:
Angle 1: 131
Angle 6: 49
Answer:
m∠1 = 131º
m∠6 = 49º
Step-by-step explanation:
So we know that a straight line is equal to 180º and we already know the measure of angle 8 (49º) so to find the measure of angle 7, we just subtract 49 from 180.
180 - 49 = 131
So m∠7 = 131º
Now because of the alternate exterior angle rule, we can now find out that m∠7 is the same as m∠1
Now for the measurement of angle 6, we know that it's 49º because of the vertical angles rule.
Marsha initially deposited $98,232 into her checking account in January. She deposited $14,443 into her account at the beginning of every month starting in February. About how much money will she have at the end of April?
First we have to subtract 14,443 from 98,232 since deposit means take out. Now that would become 83,789 so that would continue from Feb to April that would be about 3 times so we have to keep subtracting 14,443 or just do 14,442 since we have to do this 3 times and then subtract 98,232 from 43326(the answer from 14,442*3) and we get 54906 as our final answer!
Find the slope of the line given the pair of points.
(-4,-10), (-10,5)
Answer:
15/-6 or -2.5
Step-by-step explanation:
m=y2-y1/x2-x1
5-(-10)=15
-10-(-4)=(-6)
15/-6=(-2.5)
hope this helps :3
if it did pls mark brainliest
Answer: -5/2
Step-by-step explanation: Using the slope equation, slope = (y₂ - y₁) / (x₂ - x₁). Your slope would be -5/2 hope this helps! :)
Simplify
25yz^3/5y^2z^4
Answer:
5/yz
Step-by-step explanation:
25yz^3/5y^2z^4
5yz^3/y^2z^4
5y^1-2z^3-4/1
5y^-1z^-1/1
5/yz
You move down 6 units and left 9 units. You end at (-5, -3). Where did you start?
