The two-step exchange process is an illustration of composite functions
The function that converts dollars to Euro is [tex]\mathbf{g(d) = 0.897d - 3.3 }[/tex]You would receive 400.35 Euros, when you exchange 450 dollarsYou would receive 70.6 dollars, when you exchange 60 EurosConverting from dollars to British pounds, we have:
[tex]\mathbf{f(d) = 0.69d - 1}[/tex]
Converting from British pounds to Euro, we have:
[tex]\mathbf{g(p) = 1.3p - 2}[/tex]
(a) Function that converts dollars to Euro
To do this, we simply calculate gf(d)
So, we have:
[tex]\mathbf{g(f(d)) = 1.3f(d) - 2}[/tex]
Substitute [tex]\mathbf{f(d) = 0.69d - 1}[/tex]
[tex]\mathbf{g(f(d)) = 1.3 \times (0.69d - 1) - 2}[/tex]
Expand
[tex]\mathbf{g(f(d)) = 0.897d - 1.3 - 2}[/tex]
[tex]\mathbf{g(f(d)) = 0.897d - 3.3 }[/tex]
Rewrite as:
[tex]\mathbf{g(d) = 0.897d - 3.3 }[/tex]
Hence, the function that converts dollars to Euro is [tex]\mathbf{g(d) = 0.897d - 3.3 }[/tex]
(b) Euro equivalent of $450
In (a), we have [tex]\mathbf{g(d) = 0.897d - 3.3 }[/tex]
Substitute 450 for d
[tex]\mathbf{g(450) = 0.897 \times 450 - 3.3 }[/tex]
[tex]\mathbf{g(450) = 403.65 - 3.3 }[/tex]
[tex]\mathbf{g(450) = 400.35}[/tex]
Hence, you would receive 400.35 Euros, when you exchange 450 dollars
(c) Dollar equivalent of 60 Euros
In (a), we have [tex]\mathbf{g(d) = 0.897d - 3.3 }[/tex]
Substitute 60 for g(d)
[tex]\mathbf{60 = 0.897d - 3.3 }[/tex]
Add 3.3 to both sides
[tex]\mathbf{0.897d = 63.3 }[/tex]
Divide both sides by 0.897
[tex]\mathbf{d = 70.6}[/tex]
Hence, you would receive 70.6 dollars, when you exchange 60 Euros
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If A=(1 2 3), find 2 A?
Answer:
Remove parentheses
Step-by-step explanation:
A= 123
Nadine plans to ride her bike between 12 mi and 15 mi. Write and solve an inequality to model how many hours she will be riding if she will be riding at a rate of 10 mph
Answer:
inequality is:12 ≤ x ≤ 15
Step-by-step explanation:
What is the value of x?
Answer:
AC is straight line.
72°+3x=180°[linear pair]
3x=180°-72°
3x=108°
x=108°/3
x=36°
option c.
ms.ngoc class has 25students. There are 13 girls and 12 boys. If a student is selected at random, what is the probality of not selecting girl
Answer:
48% of selecting a male 52%of selecting a female
Step-by-step explanation:
A bank charges $27 every week. Which integer shows the amount
charged after 5 weeks?
Answer:
27x5=135
Step-by-step explanation:
Answer:
135$
Step-by-step explanation:
27x5 equals 135$
Would appreciate brainliest
Kamal solved an equation as shown below.
3(x-8)= x+2x+7
3x-24 - 3x+7
-24 - 7
What is the solution to Kamal's equation?
0-24
O 7
O no solution
O infinitely many solutions
Answer:
no solution
Step-by-step explanation:
3(x-8)=x+2x+7
3x-24=3x+7
there is no solution bc both sides, when simplified, that x is not defined.
you end up canceling the 3x in both sides and so,
-24 does not equal 7
Answer:
A
Step-by-step explanation:
Drag steps and expressions into place to explain and show how to evaluate x⋅y for x=3 and y=9.
your pics not loading in
Answer:
1. Substitute 9 for y..............................3 x y
2. Substitute 3 for X .......................................3x 9
3. multiply ................................... 27
Step-by-step explanation:
A line passes through the point (-8, 3) and has a slope of 3/4 write an equation in slope intercept form
A square solar panel has an area of 16 square feet. Write the area as a power. Then find the side lengths of the panel.
The area of the solar panel written as power is
square feet.
The side lengths of the solar panel are
feet.
Answer:
area = 4^2
side lengths 4 ft
Step-by-step explanation:
0.009 ÷ 0.08 please help me I forgot how to divide decimals
Answer: 0.1125
Step-by-step explanation:
To divide decimals, you move the decimal (.) to the end.
In this case of 0.009 /0.08,
you move the period in 0.08 to the end so it become 8.
And since you moved it two spaces to the right, you do the same for the 0.009 (you move the period 2 spaces to the right), so it becomes 0.9
Then you divide.
Hopefully, that makes sense.
70% of Hassan's collection of goldfish died. if he has 60 survivors, how many did he have originally?
Hassan originally had 200 goldfish
Step-by-step explanation:
Multiply 60 by 100, which will get you 6,000, then divide by 30 to get 200. The 100 is for the total percentage, the 30 is the percentage left.
Answer:
200goldfish
Step-by-step explanation:
since 30percent(100_70)is60 what about 100percent
100percent/30percent multiplied by 60goldfish=200
Therefore the answer is 200goldfish
If 3x 6 = 213x plus 6 equals 21, what does x 2x plus 2 equal?.
Answer:
17
Step-by-step explanation:
hope this helped
Please help quick! Thanks!
Answer:
<
Step-by-step explanation:
8^2=64
64+9=73
73-3=70
8*8=64
64+24=88
88-16=72
70<72
it takes 3 brick layers 2 hours to build a wall how long would it take 4 brick layers
please show steps in ratio
Answer:
Ratios are basically proportions so in this scenario
We can make it…
brick layers : hours
We’re given the first one which is
3:2
Whilst the one we need to find is only given for brick
For the unknown hours we can make it “x”
4: x
Now we have 2 ratios
3:2
4:x
Now these are fractions and we can make them equal to each other by
3/2 = 4/x
Now cross multiply to solve for x
3x=8
2 2/3 = x
So 2 2/3 hours
Determine whether the lines are parallel, intersect, or coincide y=-7x-+1 y=-7x-3
Answer:
Parallel
Step-by-step explanation:
Please help me out !! Asap
Answer:
(1,5)
Step-by-step explanation:
y = 4x+1
y = 2x+3
Set the two equations equal
4x+1 = 2x+3
Subtract 2x from each side
4x+1-2x = 2x+3-2x
2x+1 = 3
Subtract 1 from each side
2x+1-1 =3-1
2x=2
Divide by 2
2x/2 =2/2
x =1
Now find y
y =4x+1 = 4(1)+1 =4+1=5
(1,5)
how can i Find the volume of the following cylinder that the Radius of 1 cm Height of 8 cm
Answer:
Okay first you need to use the formula: V=[tex]\pi r^{2} *h[/tex]
All you need to do is plug in those numbers.
Like this: V= [tex]\pi *1^{2}*8[/tex]
which is = 25.13 [tex]cm^{3}[/tex]
Ta-da!! lol. Have a great day!
A pool is being filled at the rate of 66 gallons per hour. ?hours = 22gallons 1.5hours = ?gallons
Answer:
1/3 hours : 22 gallons
1.5 hours : 99 gallons
Step-by-step explanation:
set a proportion fo all of them
x hours : 22 gallons:
66 22
--- = ---
60 x
22/66 = 0.3333333333333 x 60
= 20 and convert to fraction
20/60 simplified is 1/3
1.5 hours : x gallons
66 x
-- = ---
1 1.5
1.5 / 1 = 1.5
1.5 x 66 = 99
x = 99
Noir drove from the Dead Sea up to Amman, and her altitude increased at a constant rate. When she began driving her altitude was 400 meters below sea level. When she arrived in Amman 2 hours later, her altitude was 1000 meters above sea level. Let y represent noir’s altitude in meters relative to sea level after x hours.
Answer:
y(x) = -400 m + (700 m/hr)x
Step-by-step explanation:
Let y = 0 represent sea level. Noir's initial altitude was -400 m. In two hours she went from -400 m to +1000 m, a positive change of 1400 m. Thus, the rate of ascent was m = slope = (change in altitude) / (change in time), or
rate of ascent = 1400/2 m/hr = 700 m/hr
Thus, an equation describing her altitude relative to sea level after x hours is
y(x) = -400 m + (700 m/hr)x, where x is the number of hours of driving completed. This formula correctly predicts the altitude after two hours:
y(2) = -400 m + (700 m/hr)(2 hr) = 1000 m above sea level.
HELP!!
FAST!!
Lola needs to sign 96 invitations. Using a stopwatch that measures time to tenths of a second, it takes Lola 5.3
seconds to sign her full name. Going by the accuracy of the stopwatch, which is the most accurate determination for
the number of seconds Lola needs to sign all 96 invitations?
O 508 seconds
O 510 seconds
509 seconds
O 508.8 seconds
Answer:
5.3 seconds is needed for one signature.
Hence, for 96 signatures, it would take
[tex]96*5.3=508.8[/tex] seconds.
The number of seconds Lola needs to sign all 96 invitations is,
⇒ 508.8 seconds
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
Lola needs to sign 96 invitations.
And, Using a stopwatch that measures time to tenths of a second, it takes Lola 5.3 seconds to sign her full name.
Since, No of invitation's =96
And, Time required to sign 1 invitation = 5.3seconds
So, Let the time required to sign 96 invitation = x
Hence, We get;
x = 5.3 x 96
= 508.8 seconds
Thus, The number of seconds Lola needs to sign all 96 invitations is,
⇒ 508.8 seconds
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1. There are 216 employees in a store. The ratio of men to women is 5:7. How many men and how many women work at the store? 2. A car traveled 180 miles in 3 hours. Assuming the car's speed was constant, at what unit rate did the car travel, in miles per hour?
Answer:
2. the car drove at 60 miles per hour
Step-by-step explanation:
:)
Evaluate the question
Pls help:)
Answer:
18
Step-by-step exp18lanation:
1) Simplify 2 - 4 to -2.
3 - 5 × -2 ÷ 2 × 3
2) Simplify 5 × -2 to -10.
3 - (-10 ÷ 2 × 3)
3) Simplify -10 ÷ 2 to -5.
3 - (-5 × 3)
4) Simplify -5 × 3 to -15.
3 - (-15)
5) Remove parentheses.
3 =+15
6) Simplify.
18
Answer:
24
simple explanation:
{3+[-5(2-4)÷2}×3
{3+[-5(-2)÷2}×3
{3+[-10]÷2)×3
3+5×3
8×3
=24
4−(−8)= please help i need it now
Answer:
Step-by-step explanation:
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!9
Answer:
think its a
Step-by-step explanation:
the slope is 2/1 but both y int are different
Given triangle MTW is congruent to triangle BGK,find y.
Answer:
y = 8
Step-by-step explanation:
As MTW and BGK are congruent
angle T = angle G
4x - 3 = 45
in triangle MTW
angle M = 180 - (T + W)
= 180 - (45 + 41)
= 180 - 86
= 94
and angle M = B
11y + 6 = 94
11y = 94 - 6
11y = 88
y = 8
HELP ME PLEASE PLEASE ILL MARK BRAINLIEST
Answer:
its 5
Step-by-step explanation:
I know this because you just need to find the opposite integer and then that make s a zero pair and then you get 5
Help maths please eeeee
Answer: row 4 is “14441’’
Step-by-step explanation: so first square is 4 second is 4 and third is 1
Answer:
1 4 6 4 1
Step-by-step explanation:
By summing the 2 numbers above them, as instructed , then
1 + 3 = 4 and 3 + 3 = 6
The row is then
1 4 6 4 1
Alex washed 10 1/2 windows in 3/4 hour. At this rate, how many windows can he wash in one hour?
Answer:
In an hour, Alex can wash 14 windows.
Step-by-step explanation:
10 1/2 windows per 3/4 hour
per usually means a / sign because you are finding the unit rate
10.5/0.75 (I just converted everything into a fraction to make it easier)
solve:
10.5/0.75 = 14
Another way to solve:
10 1/2 / 3/4
= 21/2 * 4/3
= 21*4/2*3
= 84/6
= 14
Check:
If Alex washes 14 windows per hour, you can check by multiplying 14 by 3/4 of an hour
14*3/4
=42/4
=10.5
10.5 is the same as 10 1/2
M=8;(-2,16) write an equation in slope intercept given the slope and a point on the link
Answer:
y = kx+b
Step-by-step explanation:
use dis
Write an equation representing how much Keith paid.
After Gwen, Tristan, and Keith finish exercising, they go to the fair. At the fair, they each pay the entry fee and also buy tickets they can use for food or rides. Gwen pays the entry fee and buys 10 tickets. It costs her a total of $30. Tristan pays the entry fee and buys 15 tickets. It costs him a total of $40. Keith pays the entry fee and buys 10 tickets. It costs him a total of $30. In this task, you will create a system of equations and find the cost of each ticket. Let x represent the entry fee and y represent the cost of each ticket in dollars.
Answer:
Let x represents the entry fees
y represent the cost of each ticket
Gwen equation
x + 10y = 30 ... (i)
Tristan equation
x + 15y = 40 ...... (ii)
Keith equation
x + 10y = 30 .......... (iii)
By solving eq. (ii) and (iii), we get
x = 10
y = 2
Hence entry fees = $10
cost of each ticket = $2
Step-by-step explanation: