You are buying bottles of a sports drink mix for a softball team. Each bottle costs $1.19. What function rule models the total cost of a purchase? Evaluate the function for 15 bottles
Answer: f(x) = 1.19x, where f(x) is the total cost, and x is the cost per bottle
Cost of 15 bottles: $17.85
Step-by-step explanation:
This question describes a straightforward relation between cost per bottle, and cost for all the bottles. As such, simply equate one variable to the value of one bottle, and f(x) as the value of every bottle.
Hope it helps :) and let me know if you want me to elaborate.
P.S. f(x) can simply be substituted for "y"
Let
no of bottles be x
.The function is given by
[tex]\\ \sf\longmapsto f(x)=1.19x[/tex]
Now
Bottles=15Cost:-
[tex]\\ \sf\longmapsto f(15)[/tex]
[tex]\\ \sf\longmapsto 1.19(15)[/tex]
[tex]\\ \sf\longmapsto 17.89[/tex]
1) Jen spends $5.98 on ribbon. Ribbon costs $0.92 per meter. How many
meters of ribbon does Jen buy?
Answer:
6.5
Step-by-step explanation:
5.98÷0.92= 6.5m
Simplify as far as possible.
√108 − 2 √300
Answer:
√108 − 2 √300
6v√3 − 20√3
Find the value of 4+n when n=12
Answer:
16
Step-by-step explanation:
N equals 12, so
4 + 12 = 16
Answer:
4 + n = 16
Step-by-step explanation:
n = 12 so 4 + 12 is 16
Given that f ( x ) = 3 x − 7 and g ( x ) = 3 x + 9 , evaluate f ( g ( 2 ) )
Answer:
38
Step-by-step explanation:
f ( x ) = 3 x − 7
g ( x ) = 3 x + 9
f(g(2))
First find g(2)
g(2) = 3(2)+9 = 6+9 = 15
Then find f(15)
f(15) = 3*15 -7 = 45 -7 =38
{x: x belongs to N and (x-1)(x-2) = 0}, finite set or infinite set?
Explanation:
We have a set of x values such that (x-1)(x-2) = 0. Breaking that down leads to either x-1 = 0 or x-2 = 0 through the zero product property. Solving each of those equations gets us x = 1 and x = 2 as the two items in this set.
So the original set your teacher gave you turns into the roster form {1,2}. There are two items in this set and we can see it's a finite set since it does not go on forever. Note that everything in this set is a natural number.
{(2, 2),(4, 4),(6, 6),(8, 8)}
Is a Function – { ( 2, 2 ),( 4, 4 ),( 6, 6 ),( 8, 8 ) }
Is not a Function – { ( 2, 2 ),( 4, 4 ),( 6, 6 ),( 8, 8 ) }
{(0, 3),(3, 5),(5, 6),(8, 4)}
Is a Function – { ( 0, 3 ),( 3, 5 ),( 5, 6 ),( 8, 4 ) }
Is not a Function – { ( 0, 3 ),( 3, 5 ),( 5, 6 ),( 8, 4 ) }
{(1, 2),(3, 3),(4, 8),(6, 3)}
Is a Function – { ( 1, 2 ),( 3, 3 ),( 4, 8 ),( 6, 3 ) }
Is not a Function – { ( 1, 2 ),( 3, 3 ),( 4, 8 ),( 6, 3 ) }
{(3, 4),(5, 2),(5, 6),(7, 3)}
Is a Function – { ( 3, 4 ),( 5, 2 ),( 5, 6 ),( 7, 3 ) }
Is not a Function – { ( 3, 4 ),( 5, 2 ),( 5, 6 ),( 7, 3 ) }
which is not a function and which is a function?
{(2, 2),(4, 4),(6, 6),(8, 8)} Is a function.
{(0, 3),(3, 5),(5, 6),(8, 4)} Is a function.
{(1, 2),(3, 3),(4, 8),(6, 3)} Is a function.
{(3, 4),(5, 2),(5, 6),(7, 3)} Is not a function.
For a relation to be a function, every x value must have only one y value.
The picture needs to be answered.
Answer:
if 3 children go to the water park, 4 adults can go: TRUE
if 6 children go to the water park 3 adjults can go: FALSE
no adults, 6 children: TRUE (even 9 children can go)
no children, 6 adults: TRUE
10x is indeed the cost of the children
15y is indeed the cost of the adults
What is the solution to the linear equation?
4b + 6 = 2 – b + 4
b = –2
b = 0
b = 4
b = 6
Answer:
b = 0
Step-by-step explanation:
4b + 6 = 2 - b + 4
4b + b = 2 + 4 - 6
5b = 6 - 6
5b = 0
b = 0 / 5
b = 0
Answer:
The answer is B.
Step-by-step explanation:
b=0
What is the square root of 74 rounded to the nearest tenth
The square root of 74 rounded to the nearest tenth is gotten as; 8.6
How to find the Square root of a number?
We want to find the square root of 74.
This square root of 74 is expressed as;
√74
Now, the value of that square root is;
√74 = 8.6023
Now, we want to approximate to the nearest tenth and thus we will have the approximation as; 8.6
Read more about square root at; https://brainly.com/question/98314
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solve the two-step equation. -1/3x-21/4=27/4
Answer:
x=(-36)
Step-by-step explanation:
Answer:
x = -36.
Step-by-step explanation:
-1/3x-21/4=27/4
-1/3x = 27/4 + 21/4
-1/3x = 48/4 = 12
x = 12* -3
x = -36.
Madelyn has two summer jobs. During the week she works in the grocery store, and on the weekend she works at a nursery. She gets paid $22 per hour to work at the grocery store and $21 per hour to work at the nursery. How much does she earn if she works 11 hours at the grocery store and 10 hours at the nursery? How much does she earn if she works gg hours at the grocery store and nn hours at the nursery?
Answer:
242$ in grocery store and 210$ in nursery
Step-by-step explanation:
Work out the size of angle x 126 degrees exterior and 43 degrees interior
Answer:
The answer is 83°
Step-by-step explanation:
by the sum of iner and outer angle=180°
180-126= 54°
x=180-43+54
x=180-97
x=83°
hope that helped.?<3
find the slope with the given numbers
Answer:
[tex]m=-\frac{1}{26}[/tex]
Step-by-step explanation:
Formula:
[tex]Slope:m=\frac{y_2-y_1}{x_2-x_1}\\[/tex]----------------------------------------------------------------------------------------------------------------
Work:
[tex]m=\frac{-15-(-16)}{-7-19}\\\\m=-\frac{1}{26}[/tex]
Show why 5/6 is not proportional to 10/15.
Step-by-step explanation:5 times 2=10 but 6 times 2=12 not 15 so 5/6 is proportional to 10/12 not 10/15
i realy need it very desparate
Answer: how to stop deppreshon
Step-by-step explanation: The mainstay of treatment is usually medication, talk therapy, or a combination of the two. Increasingly, research suggests these treatments may normalize brain changes associated with depression.
5 1/2+4 3/4?
Please show work
Answer:
10 1/4
Step-by-step explanation:
= 11/2 + 4 3/4
= 11/2 + 19/4
= 41/4
=10 1/4
I need the answer for this
Answer:
JK = 12.6
Step-by-step explanation:
Similarity says ratio of any cooresponding sides are equal to the ratio of any other cooresponding sides. SO
25.2/66 = JK/33
33(25.2/66) = JK
12.6 = JK
Reasoning There were 43 students on the playground. Some more students joined them. Now there are 63 students on the playground. How many students joined? EnVision Lesson 3-5
Answer:
20
Step-by-step explanation:
63 - 43 = 20
Answer:
20 students
Step-by-step explanation:
because 43+s=63
63-43=20
s=20
so it have 20 students on the playground
There are 80 students in a school. If 40 percent of the students are boys, how many girls are in the school
Answer:
48
Step-by-step explanation:
80x40%=80x.4=32 boys. 80 students-32 boys = 48 girls
Molly is helping her younger sister run a lemonade stand. They earn $2 for each cup of
lemonade they sell.
Write an equation that shows how their total earnings, y, depend on the number of cups sold,
X.
Do not include dollar signs in the equation.
y =
Answer:
y= x • 2
Step-by-step explanation:
The amount of money they make is dependent of how many 2 dollar cups they sell.
(please crown me brainleist I need to level up)
Ben deposited $500 into a savings account at a local bank that earned 5% interest per
year. How much interest does he earn per year?
Answer:
$25
Step-by-step explanation:
500*0.05=25
Answer:
$25 because 100 is half of 500
To make rice in a factory, Lois mixes rice and water in the ratio 2 : 3. If she uses 10 cups of rice, how many
cups of water does she need?
Answer:
15 cups
Step-by-step explanation:
2:3
10:?
2x5:3x5
10:15
Given the function f(x)=x^2+2x+1, find each value of the function
Answer:
1 9/16
Step-by-step explanation:
F(1/4) means u plug in 1/4 for x
so the equation would be
f(1/4)=1/4^2+2 1/4 + 1
f(1/4)=1/16+1/2+1
f(1/4)= 9/16 +1
f(1/4)= 1 9/16
its not nine teen its one and 9 over 16 just clarification
Two times a number is more than 36.
Answer:
19
Step-by-step explanation:
19 x 2 = 38
Twice a quantity usually indicates to take two of the things in question; usually this indicates to multiply by 2. Thus "twice a number x" can be written symbolically as 2x. If this is part of a problem, say twice a number x is 6, then we can rewrite algebraically as 2x=6; dividing both sides by 2 yields x=3.
Fill in the blanks below in order to justify whether or not the mapping shown
represents a function.
An engineer is estimating the weight of a steel beam. The actual weight of the beam is 152 pounds. The engineer's estimate is 150 pounds.
Find the absolute error and the percent error of the engineer's estimate. If necessary, round your answers to the nearest tenth.
Answer/Step-by-step explanation:
To find the absolute difference, we simply have to see by how much pounds the estimation was off.
The real measure was 152 pounds, the estimated weight was 150.
D = 152- 150 = 2 pounds.
For the percent of error, we divide the absolute difference (52) by the real value () and we'll get the % of error. So,
%D = 52 / 152 = 0.0034, so 0.34%
What theorem can be used to prove
these triangles are congruent?
ASA
SAA
neither
Which are aspects covered by Bohr’s atomic model?
Electrons can have a measured radius.
Higher orbits have lower energies.
Electrons exist between orbits.
Electrons do not have energy, the energy is determined by the orbit.
The statement (A) Electrons can have a measured radius. and statement (D) Electrons do not have energy, the energy is determined by the orbit are correct.
What is Bohr's atomic model?In the Bohr atomic model, electrons are grouped according to their energy levels. The energy level at which an electron is located determines its energy.
As we know,
The aspects covered by Bohr’s atomic model are:
Electrons can have a measured radius.Electrons do not have energy, the energy is determined by the orbit.Energy is absorbed by electrons as they transition from a lower to a higher energy state. The electron emits energy when it transitions from a higher to a lower energy level. Visible light is one way to view this energy.
Thus, the statement (A) Electrons can have a measured radius. and statement (D) Electrons do not have energy, the energy is determined by the orbit are correct.
Learn more about Bohr's atomic model here:
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Answer: Electrons do not have energy, the energy is determined by the orbit." or A and b
Step-by-step explanation: The correct answer is, "Electrons do not have energy, the energy is determined by the orbit."
In the Bohr model of the atom, electrons are arranged in energy levels. The energy of an electron is determined by the energy level in which it is found.
When electron an the electron moves from a lower to a higher energy level it absorbs energy. When the electron moves from a higher to a lower energy level, it radiates energy. This energy is observed in the form of visible light.
Thus, in the Bohr's model, electrons are arranged in energy levels. The energy level where an electron is found determines its energy.
Peter brought 8 lemons for 6 dollars each lemon was the same price what was the cost for 1 lemon.
Answer:
75 cents
Step-by-step explanation:
We can use a ratio to solve
8 lemons 1 lemon
------------- = ------------
6 dollars x dollars
Using cross products
8x = 6*1
8x = 6
Divide by 8
8x/8 = 6/8
x = .75
One lemon costs .75