Answer:
Given composite function:
f(g(x)) = √(x + 8)Possible functions that compose it:
g(x) = x + 8and
f(x) = √xA driver travels 120 miles, stops, and then travels ¼ of the distance she has already driven. After stopping again, the driver travels ⅔ of the distance she has already traveled. Now, the entire distance she has driven is 55 miles more than 1 ⅔ of the remaining trip. How many miles does the driver still have to travel?
Answer:
75 miles
Step-by-step explanation:
We know that she has driven 120 miles before the first stop.
Then she drives for 1/4 of the the distance she has already driven (120 miles). One fourth of 120 is 30.
So now, she's driven for 120 + 30 miles, or 150 miles.
She drives for another 2/3 of the distance she's traveled (150 miles). Two thirds of 150 is 100.
So now, she's driven for 150 + 100 miles, or 250 miles.
What we need to find out now is how much of the trip has she traveled.
We know that the entire distance she has driven is 55 miles more than 1 ⅔ of the remaining trip. So, in other words, the distance she has traveled minus 55 is equal to 1 2/3 of the trip.
To put this in an equation:
250 - 55 = 1 2/3t
t = the whole trip
Now, we solve for t.
250 - 55 = 195
1 2/3 = 5/3
so, 195 = 5/3t
t = 325
We subtract what she has already driven to the total to get the remaining distance.
325 - 250 = 75
can someone plz help with this FAST
I WILL MARK BRAINLIEST
Answer:
42 times
Step-by-step explanation:
lets say the number of times they flew on saturday was x, so we have 34 + 2x = 118. subtract 34 from both sides to get 84. so 2x=84. divide by 2 to get x=42
Answer:
B) 42
Step-by-step explanation:
friday - 34 times
saturday - 'x' times
sunday - 'x' times
34 + x + x = 118
34 + 2x = 118
2x = 84
x = 42
Melissa is riding her bike . She rides for 3 hours at a speed of 4.8 kilometers per hour . How far does she ride ?
Answer:
14/4
Step-by-step explanation:
speed.time=distance
3x4.8=14.4
I Need help asap PLS HURRY
3. Your bedroom is 14 feet by 10 feet and your sister's room is 12 feet by 10 feet. If you
are going to paint both rooms the same color and the paint covers 250 square feet per
gallon, how much paint will you need if you are going to paint the walls and ceilings?
Assume the ceiling is 8 ft high.
Step-by-step explanation:
we paint the walls and ceilings.
and we ignore any doors or windows (no information about them).
so, each room has then 5 rectangles : 4 walls and 1 ceiling.
when we say a room is 14 ft × 10 ft, this also means there are 2 sides of 14 ft and 2 sides of 10 ft.
and the area is 14×10 ft².
the area of the ceiling is the same as the area of the floor : 14×10 = 140 ft²
for the walls we have 2 rectangles of 14×8 = 112 ft², and 2 rectangles of 10×8 = 80 ft² (remember, the height of the room is 8 ft).
for the sister's room it is similar.
just a 12×10 = 120 ft² ceiling.
and 2 rectangles of 12×8 = 96 ft² and again 2 rectangles of 10×8 = 80 ft² as walls.
altogether we have then
140 + 112 + 112 + 80 + 80 + 120 + 96 + 96 + 80 + 80 ft²
that is in total
996 ft²
how many gallons of paint do we need for this ?
well, 1 gallon per 250 ft².
so, how often does 250 fit into 996 ?
996 / 250 = 3.984 gallons.
since we get the paint most likely only in quantities of gallons, we need 4 gallons for the paint job.
1) Ella is making crepes for brunch guests. The number of eggs used in the recipe is proportional to the number of crepes being made. The recipe calls for 5 eggs per 20 crepes. Sixty crepes will be served. Which statements are correct for this situation?
Answer:
b,d,c
Step-by-step explanation:
y = 1 4 x calculates the number of eggs, y, for x crepes. The constant of proportionality is 1 4 . Ella needs 15 eggs to make 60 crepes. y = kx, where k is the constant of proportionality → y = 5 eggs 20 crepes x → y = 1 4 x; thus, k = 1 4 y = 1 4 (60) = 15 eggs
For 60 creps, 15 eggs will be needed.
What is equation modelling? What is a mathematical equation and expression? Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions.Given is that the number of eggs used in the recipe is proportional to the number of crepes being made. The recipe calls for 5 eggs per 20 crepes. Sixty crepes will be served
Now, for 20 creps, 5 eggs are needed.
Then for 1 crep, (5/20) eggs are needed.
For 60 creps, (5/20) x 60 = 15 eggs will be needed.
Therefore, For 60 creps, 15 eggs will be needed.
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It took Jasmine 1 day and 4 hours to travel 1,960 miles. What was her average speed in miles per
hour?
Answer:
it took Jasmine 479 miles per hour
() What is 4 divided by 9?
Answer:
9
Step-by-step explanation:
Which expression is equivalent to the given expression?
5x – 2
A2 – 5x
B 2x – 2 + 3x
C 3 – 5 + 2x
D 5x — 2х
Answer:
I DON'T KNOW WHERE YOu belong because im in philippines
41/2≤1.2x what is the answer
Answer:
i can help just meassage me
Step-by-step explanation:
ok thak u
He are you able to solve these
solve for X
..................................................................................
Answer:
C. 9
Step-by-step explanation:
The measure of a triangle is 180.
Make all the angles equal 180.
50+80+6x-4=180.
Solve.
6x=54
x=9
Answer:
9
Step-by-step explanation:
All triangle angles add up to 180 degrees.
50 + 80 + (6x - 4) = 180
130 + (6x - 4) = 180
-130 -130
6x - 4 = 50
+4 +4
6x = 54
/6 /6
x = 9
What is the polar form of -9-9i sq root 3
Answer:
The inverse tangent of √33 is θ=30° θ = 30 ° . This is the result of the conversion to polar coordinates in (r,θ) form.
The inverse tangent of √33 is θ=30° θ = 30 ° . This is the result of the conversion to polar coordinates in (r,θ) form.
The polar form of Complex NumbersThe polar form of a complex number is a different way to represent a complex number apart from the rectangular form. Usually, we represent the complex numbers, in the form of z = x+iy where 'i' is the imaginary number.
But in polar form, the complex numbers are represented as the combination of modulus and argument.
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Jamie Lee needs to save a total of $9,000 in order to get started in her cupcake café venture. She is presently depositing $1,800 a year in a regular savings account. Calculate the future value of these deposits.
Answer: 16,200,000
Step-by-step explanation: divide both numbers
The future value of her deposit would be in 5 years.
The total amount needed to start a cupcake cafe venture
= $9,000
Deposit per year = $1,800
Therefore, if $1,800 = 1 year
$9,000 = X
[tex]x = \frac{9000}{1800} [/tex]
[tex]x = 5[/tex]
Therefore in 5 years, Jamie Lee would be able to start her cupcake café venture.
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Richard and Teo have a combined age of 36 Richard is 6 years older than twice Teo's age. How old are Richard and Teo?
Richard is years old, and Teo is years old.
(Type whole numbers.)
Answer:
Richard is twenty-six and Teo is ten.
Step-by-step explanation:
Let x = Richard's age and y = Teo's age
x = 2y + 6
(2y + 6) + y = 36
3y + 6 = 36
-6 -6
3y = 30
y = 10
x = 2(10) + 6
x = 20 + 6
x = 26
Richard is 26
Teo is 10
Solve for the missing variable thank you!
Solve the Quadratic
Solve for x. Write in simplified radical form.
2x^2 + 3x – 20 = 0
Solution 1:
Solution 2:
~quadratic equation
======================
2x² + 3x - 20 = 0
= a + b = 3
= ab = 2(-20) = -40
= a = -5
= b = 8
= (2x² - 5x) + (8x - 20)
= x(2x - 5) + 4(2x - 5)
= (2x - 5) (x + 4)
= Solution 1 : x = 5/2 ✔️
Solution 2 : x = -4 ✔️
~ nice to help you ^^
[tex]2x^2 +3x -20 =0\\\\\\\implies x = \dfrac{-3 \pm \sqrt{(-3)^2 - 4 \cdot 2 \cdot (-20)}}{2 \cdot 2}\\\\\\\implies x = \dfrac{-3 \pm \sqrt{169}}{4}\\\\\\\implies x = \dfrac{-3\pm 13} 4 \\\\\\\text{Hence} \\\\x = \dfrac{-3+ 13}{4} = \dfrac{10} 4 = \dfrac{5}2\\\\\text{Or}\\\\x= \dfrac{-3-13}4 = -\dfrac{16}4 =-4[/tex]
Gus, Verid and their three children went to see a show.,
The children were charged half-price. If the total cost of the tickets was $94.50, how
much did each adult ticket cost?
Answer:
28.35 each adult
Step-by-step explanation:
When four times a number is decreased by 9, the result is 19. What is the number?
Answer:
7
Step-by-step explanation:
Working backwards:
19 + 9 = 28
28/ 4 = 7
Checking work:
7 x 4 = 28
28 - 9 = 19
Find the average value of the sum of the squares of three numbers x, y, z, where each number is between 0 and 2.
answer:
1
Step-by-step explanation:
#'s between zero and two = one
the only number between 0 and two is 1
x = 1 y = 1 z = 1
the average value of the sum of the squares of x, y and z = 1
1, 1, 1
the average is 1
Angel invests money in an account paying simple interest. He invests $110 and no money is added or removed from the investment. After one year, he has $115.50. What is the simple percent interest per year?
Answer:
5%
Step-by-step explanation:
First let's find the interest,
$ 115.50 - $ 110
= $ 5.5
Now let's use this formula to find the simple percent interest.
Simple interest = P × r × t / 100
Here,
P = Principle
r = rate
t = time
Let us find now.
[tex]5.5 =\frac{P *r*t}{100} \\5.5 = \frac{110*r *1}{100} \\550=110r\\\frac{550}{110} =\frac{110r}{110} \\5=r[/tex]
Therefore, the percentage is 5%
Hope this helps you.
Let me know if you have any other questions :-)
Name the property of addition illustrated.
[3+(-8)] + 9 = 3+(- 8+9)
Answer:
Associative property
Step-by-step explanation:
The associative property states that, in addition, pairs of parentheses can be moved without changing the value of the expression. This means that (a+b)+c=a+(b+c). That same rule can be seen in the equation above because the parentheses move from the first 2 terms to the 3rd and 4th terms. Either way, both sides of the equation remain equal.
The Lamborghini Sports Car reaches a maximum speed of 200km/h in 15.50s
The McLaren Sports Car displays the same time as the Ferrari Sports Car.
The Renault Sports Car is small in size.
The Ferrari Sports Car is a tenth second slower than the Lamborghini Sports Car.
The Renault Sports Car is three tenths of a second faster than the McLaren Sports Car.
What time does the Renault Sports Car displays to reache a maximum speed of 200km/h?
The Renault Sports Car displays 15.70 seconds to reache at maximum speed of 200km / h.
Since the Lamborghini Sports Car reaches a maximum speed of 200km / h in 15.50s, the McLaren Sports Car displays the same time as the Ferrari Sports Car, the Ferrari Sports Car is a tenth second slower than the Lamborghini Sports Car, and the Renault Sports Car is three tenths of a second faster than the McLaren Sports Car, to determine what time does the Renault Sports Car displays to reache a maximum speed of 200km / h the following calculation must be performed:
15.5 - 0.1 + 0.3 = X 15.4 + 0.3 = X 15.7 = X
Therefore, the Renault Sports Car displays 15.70 seconds to reache at maximum speed of 200km / h.
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-
3-(2n + 5)
3 + (2n + 5)-1
Answer:
I think it's 3n+7
-------
3n+8
Step-by-step explanation:
plzz help me asap plzzzz
Answer:
1.-13.2
2.6485
Step-by-step explanation:
help plz
find the size of unknown angle in the flowing figures
Answer:
it is 95 degrees because it is a vertically opposite angle
Help please
i need help on this question
9514 1404 393
Answer:
A: range
B: 0 ≤ f(x) ≤ 6
Step-by-step explanation:
Part AAs is often the case in multiple-part multiple-choice questions, the answer to the first part is found in the second part. The "range" is the set of all possible output values.
__
Part BThe range is the vertical extent of the graph. This graph goes from a minimum of 0 to a maximum of 6 and includes every value in between. The range is ...
0 ≤ f(x) ≤ 6
_____
Additional comment
You should discuss this question with your teacher. The left inequality symbol on the bottom line is pointed the wrong way.
6.
5. ¿Qué número tiene el mismo
valor que l centena, 7 decenas?
Answer:
7 Decenas = 70 Unidades espero que te ayude
Step-by-step explanation:
A grain trader buys the following amounts from three suppliers: 3,200 pounds,7,200 ponds and 600 pounds. What is the total weight of hid purchase?
Answer: just simply add them and you get 11000
Write recursive and explicit formula for the arithmetic sequence 10, 40, 70,100,130
in the sequence we can see that we arrive at the next term by simply adding 30 to the current one, thus
[tex]\stackrel{\textit{Explicit, only requiring argument susbtitution}}{f(n)~~ = ~~n + 30}~\hfill \stackrel{\textit{Recursive, requiring ordinal position}}{f(a)~~ = ~~ a_{n-1}+30}[/tex]