Answer:
Larissa takes 59.141 seconds to complete both laps.
Step-by-step explanation:
The complete time is the sum of time taken on each lap. We translate the two statements into mathematical expressions to determine the required output:
(i) She completes her first lap in 31.135 seconds:
[tex]x_{1} = 31.135\,s[/tex]
(ii) She completes her second lap 3.129 seconds faster than the first lap:
[tex]x_{2} = x_{1}-3.129\,s[/tex]
[tex]x_{2} = 31.135\,s - 3.129\,s[/tex]
[tex]x_{2} = 28.006\,s[/tex]
Then, the time taken by Larissa to complete both laps is:
[tex]\Delta x = x_{1} + x_{2}[/tex]
[tex]\Delta x = 31.135\,s+28.006\,s[/tex]
[tex]\Delta x = 59.141\,s[/tex]
Larissa takes 59.141 seconds to complete both laps.
Marco had 21 party favors. He put them into 7 bags with the same
number in each bag. How many party favors were in each bag?
Given the functions: f(x) = x^3, g(x) = x - 7, h(x) = x + 2, which composition of functions would
give you the new function n(x) = (x + 2)^3– 7?
A. n(x) = f(g(h(x)))
B. n(x) = g(f(h(x)))
C. n(x) = g(h(f(x)))
D. n(x) = h(f(g(x)))
E. n(x) = f(h(g(x)))
please help a girl is struggling❤️
Answer:
n(x) = g(f(h(x)))
Step-by-step explanation:
Given
[tex]f(x) = x^3[/tex]
[tex]g(x) = x-7[/tex]
[tex]h(x) = x + 2[/tex]
Required
Which function represents [tex]n(x) = (x + 2)^3 - 7[/tex]
Start by solving for f(h(x)):
Given that:
[tex]f(x) = x^3[/tex] and [tex]h(x) = x + 2[/tex]
Substitute x + 2 for the x in f(x)
[tex]f(h(x)) = (x + 2)^3[/tex]
Next, solve for g(f(h(x)))
Given that:
[tex]g(x) = x-7[/tex] and [tex]f(h(x)) = (x + 2)^3[/tex]
Substitute (x + 2)^3 for the x in g(x)
[tex]g(f(h(x))) = (x + 2)^3 - 7[/tex]
Recall that:
[tex]n(x) = (x + 2)^3 - 7[/tex]
Hence:
[tex]n(x) = g(f(h(x))) = (x + 2)^3 - 7[/tex]
Alang went to the store to buy some walnuts. The price per pound of the walnuts is $7 per pound and he has a coupon for $2.50 off the final amount. With the coupon, how much would Alang have to pay to buy 2 pounds of walnuts? Also, write an expression for the cost to buy pp pounds of walnuts, assuming at least one pound is purchased.
Answer:
$11.50 is the cost for 2 pounds of walnuts
Expression: 7p - 2.50
Step-by-step explanation:
First, create an expression to represent the cost:
7p will represent the cost, since the walnuts are $7 per pound, and 2.50 needs to be subtracted from this because of the coupon for $2.50 off
So, the expression is 7p - 2.50
Use this expression to find the price for 2 pounds of walnuts:
7p - 2.50
7(2) - 2.50
14 - 2.50
= 11.50
So, the cost with the coupon will be $11.50
A grill at a barbecue restaurant will be used to cook sausage links that are 2 lb each and briskets that are 6 lb each. No more than 120 lb of sausage links and briskets will be cooked on the grill.
Which inequality represents all possible combinations of x, the number of sausage links that will be cooked on the grill, and y, the number of briskets that will also be cooked?
Answer:
2x + 6y ≤ 120
Step-by-step explanation:
From the above question, we are told that: No more than 120 lb of sausage links and briskets will be cooked on the grill.
Let
x = Number of sausage links
y = Number of Briskets
The word NO MORE THAN means less than or equal to 120 lb and this word is represented by the inequality sign:
≤
Sausage links = 2 lb each
Briskets = 6 lb each
The inequality =
2lb × x + 6lb × y ≤ 120lb
2x + 6y ≤ 120
Therefore, the inequality represents all possible combinations of x, the number of sausage links that will be cooked on the grill, and y, the number of briskets that will also be cooked is given as:
2x + 6y ≤ 120
Factor 63z+72. Write your answer as a product with a whole number greater than 1.
Help I need help I have 20 missing assignments
Answer:
8
Step-by-step explanation:
The median of the number of books is represented on a box plot by the vertical line that divides the rectangular box into two. Thus, the value at this point is 8, which is the median number of books read.
Solve the equation. Round your answer to the nearest hundredth.
47 +3.81k = -41
Answer:
1.57=k
Step-by-step explanation:
47-41=3.81k
6=3.81k
divide both sides by 3.81k
answer=1.57=k
How many students took the survey?
10
11
20 or 9
ANSWER FOR YOUR QUESTION
ANSWER IS 10
1(x-2)= -5.5 solve for x
Answer:
-3.5
Step-by-step explanation:
(x-2)= -5.5
x=-3.5
(add two to both sides)
Sharla bought 5 1/2 pounds of ground beef. Before freezing the ground beef, she plans to make it into hamburger patties that weigh 1/4 each. How many patties can Sharla make?
Answer:
22 patties
Step-by-step explanation:
To find how many patties she can make, divide 5 1/2 by 1/4
5.5/0.25
= 22
So, she can make 22 patties
I will give brainiest to whoever answers correctly !!
Answer:
75.99
Step-by-step explanation:
6x8/4 please...............
Answer: 12
Step-by-step explanation: 6 x 8= 48 then divide 48 and 4 then get 12. Have a nice day I hope this helped u :)
hyla paid 37.88 for 3 prizzas and a order of garlic rolls if the garlic rolls cost 3.50 how much did each pizza cost
Answer: The answer is $11.46 per pizza
Step-by-step explanation:
First subtract 3.50 from 37.88 since we know how much the garlic roles are. after that you should get 34.38. Then just divide 34.38 by 3, you'll then get the price for each pizza.
Idendify the slope and y-intercept from the equation below.
(Hint: rewrite the equation in slope-intercept form first.)
10x - y = 5
m =
y =
Answer:
m=10 y=5 / (0, 5)
Step-by-step explanation:
Slope-int form: y=mx+b
So;
10x-y=5
+10x +10x
y = 10 x + 5
SOMEONE PLEASE ANSWER THIS MY ASSIGNMENT IS DUE IN 6MINUTES
Answer:
7. No
8. $6.11
Step-by-step explanation:
7. 180 / 3 = 60 350 / 5 = 70
8. 20 / 2 = 10 12.22 / 2 = 6.11
Step-by-step explanation:
for 7:
they're not equivalent
20 batteries 12.22$
10 batteries 6.11 $
A deck of cards contains 26 black cards and 26 red cards. If you are dealt two cards, what is the probability that one is red
Answer:
A 50% chance because its a 50 50 chance of drawing either card.
can someone please help me figure this out
Mr. Garcia notes that in 84% of the papers his former students have turned in, they cited their sources incorrectly. He plans to go through these papers at random to find one with incorrect citations for a lesson on citing with his current students. Assume that incorrect citations are independent between papers. Let NNN be the number of papers Mr. Garcia selects until he finds one with the sources cited incorrectly. Find the probability that the 3^{\text{rd}}3 rd 3, start superscript, start text, r, d, end text, end superscript paper Mr. Garcia selects will be the first with the sources cited incorrectly. You may round your answer to the nearest hundredth.
Answer:
.022
Step-by-step explanation:
Answer on Khan
X 3.6.PS-10 Question Help A new bank customer with $4,500 wants to open a money market account. The bank is offering a simple interest rate of 1.7%. a. How much interest will the customer earn in 10 years? b. What will the account balance be after 10 years?
What is the value of the expression when a = –5 and c = –1? Enter your answer in the box.
Answer:
-5a+-1c
Step-by-step explanation:
The value of Expression: 8a+ 16c is -56.
What is Expression?A mathematical operation such as subtraction, addition, multiplication, or division is used to combine terms into an expression. In a mathematical expression, the following terms are used:
An absolute numerical number is referred to as a constant.Variable: A symbol without a set value is referred to as a variable.Term: A term can be made up of a single constant, a single variable, or a mix of variables and constants multiplied or divided.Given:
Expression: 8a+ 16c
We have the value a= -5 and c=-1
So, putting the values in the given expression as
8a+ 16c
= 8(-5)+ 16(-1)
= -40 - 16
= -56
Hence, the value is -56.
Learn more about Expression here:
https://brainly.com/question/14083225
#SPJ6
"You must be 40 inches tall to ride."
What percentage of this height is:
a. 34 inches?
Answer:
85%
Step-by-step explanation:
1. Divide.
34 divided by 40 = 0.85
2. Multiply.
0.85 x 100 = 85
Zane bought 2 packages of candy bars. He had fewer than 22 candy bars. Find b, the number of candy bars in each package.Which inequality could be used to represent the question?
A. 2 + b <22
B. 2b =2
C. b - 2<22
D.2b <22
Answer:
d
Step-by-step explanation:
the total of two packages (2b) is less than 22
A cycle wheel does 2169 full turns in 9 minutes. Work out the number of full turns per minute
Answer:
241 per min
Step-by-step explanation:
just take 2169/9 and get 241 per min
Answer:
241 turns in 1 minute.
Step-by-step explanation:
to find the answer 241 you need to divide 2169 by 9 which will get you 241 turns
So the wheel does 241 turns a minute.
HOPE IT HELPS YOU PLEASE MARK AS BRAINLIESTSimplify
4a + 5b – 3b + a
What is the value of 4.6 - t when t = 3.1
what is the answer ?
Answer:
x= y+2/3+4
Step-by-step explanation:
Caitlin recently rode her bicycle to visit her friend who lives 9 miles away. On her way
there, her average speed was 8 miles per hour faster than on her way home. If Caitlin
spent a total of 3 hours bicycling, find the two rates.
15 points help me please. show steps!!
Answer:
12 mph & 4 mph
Step-by-step explanation:
Let s and s - 8 be the speed of Caitlin going on her friend and her speed on her way home respectively.
Distance = Speed × Time
Distance/Speed = Time
9/s + 9/(s - 8) = 3
9(s - 8) + 9s = 3s(s - 8)
9s - 72 + 9s = 3s² - 24s
3s² - 42s + 72 = 0
s² - 14s + 24 = 0
(s - 2)(s - 12) = 0
s - 2 = 0
s = 2
s - 12 = 0
s = 12
If s = 2, then s - 8 = - 6 < 0. We want s and s - 8 to be positive so s = 12 mph. It follows that her speed on her way home is 4 mph.
This week she spent 5210 to boutgames Ace cums her boating bats and shoes so she has to pay to each game that shows each othee
A 155
235
CO3
D045
Please help
Answer:
A
Step-by-step explanation:
this will be Afggggggggggggggggggggggggggggvmh,jyfkjhv
which of the follwing regular polygons can make a tessellation?
I think it's square and hexagon.
help me please and quick!!!
Answer:
<
=
>
Step-by-step explanation:
If you distribute 8(s + 2) you will get 8s + 16. You can draw the lines to help you. 8*s is 8s. 8*2 is 16. The second one is equal. When you distribute you will see. The third one is close but if you look closer 4(2s + 3) is more. 4*3 is less than 8*2.
