The function f(x) = 0.5x + 3 is used to estimate the number of pounds of potatoes a caterer plans to make depending on the number of people being served, x. The mathematical domain for the function is the set of real numbers.
Which statement describes the limitation for the reasonable domain compared to the mathematical domain?
The reasonable domain contains only positive real numbers.
The reasonable domain contains only positive whole numbers.
The reasonable domain contains only real numbers greater than 3.
The reasonable domain contains only rational numbers greater than 3.
Answer:The reasonable domain contains only positive whole numbers.
Step-by-step explanation: Domain is x-values. X stands for the amount of people. The amount of people can't be negative. There also can't be half a person so it has to be whole numbers. There can be less than 3 people coming.
Answer:
B on edge 2021
Step-by-step explanation:
Olga has $40 in her wallet. She has one more $5 bill than $10 bills, and two more $1 bills than $5 bills. If Olga has only three types of bills, how many bills of each denomination does she have?
Answer:
Number of $10 bills = 2
Number of $5 bills = 3
Number of $1 bills = 5
Step-by-step explanation:
Given:
Total amount = $40
Number of $10 bills = x
Number of $5 bills = x + 1
Number of $1 bills = x + 1 + 2 = x + 3
Find:
Number of each bills
Computation:
10(x) + 5(x+1) + 1(x+3) = 40
10x + 5x + 5 + x + 3 = 40
16x = 32
x = 2
Number of $10 bills = x = 2
Number of $5 bills = x + 1 = 3
Number of $1 bills = x + 3 = 5
Answer:
# of $10 bills = 2
# of $5 bills = 3
# of $1 bills = 5
Step-by-step explanation:
Lucas owed his friend 12$. He got some money from babysitting and was able to pay his friend back $8. What is his balance now?
~find an equation to match this word problem and solve~
Plz i need it right now thanksss
Answer:
balance $4
Step-by-step explanation:
12 - 8 = 4
Answer:
$4
Step-by-step explanation:
$ = 12 - 8
12 - 8 = $4
write in standard form -4 + y +2x = 0
Answer:
the answer is 2x+y=4
Step-by-step explanation:
2x+y=4
Answer:
y = -2x + 4
Step-by-step explanation:
is |-4| equal to |4|?
Answer:
Yes
Step-by-step explanation:
Absolute value measures the distance between the number and 0. The distance between -4 and 0 is 4, and the distance between 0 and 4 is 4. Therefore, they are equal.
Answer:
yes
Step-by-step explanation:
the l l symbol is the absolute value symbol, it counts how far the number is from zero meaning that the outcome is always positive.
A river has a current of 2km per hour. Find the rate of Fred’s boat in still water if it travels 30 km downstream and the same time it takes to travel 14 km upstream.
Answer:
32km
Step-by-step explanation:
Express the number 7,980 in scientific notation.
Answer:
7.98x10^3
Step-by-step explanation:
10^3=1000
Answer:7.980 × 10^3
Step-by-step explanation:
Find the surface area of a right cone with a diameter of 6 inches and a slant height of 5 inches.
Answer:
about 172.82
Step-by-step explanation:
Answer:
83.23
Step-by-step explanation:
to work out surface area of a right cone u
A=πr(r+h2+r2)
hope this helps
im not sure if its right tho
pwease help!! i need help to put the answers in the box c:
Answer:
6 months is: 15675
2 months is: 5172.75
1 month is: 2586.37
15 months is: 38795.62
the missing number is: 12 months
Step-by-step explanation:
Which graph represent proportional relationship?
Answer:
C
Step-by-step explanation:
Non proportional graphs are non-linear and don’t go (necessarily) through 0,0
Proportional graphs are linear and always (eventually) cross through with 0,0
In Mrs. Munson's 9th hour science class there are 15 girls and 9 boys. Which of the
following is the ratios of girls to boys IN SIMPLEST form?
O 5:1
15:9
O 5:3
30:18
Answer:
15-9
Step-by-step explanation:
Answer:
5:3
Step-by-step explanation:
[tex]15 \div 3 = 5[/tex]
[tex]9 \div 3 = 3[/tex]
The selling price of a car is $11,000. Each year, it loses 17% of its value.Find the exponential function that gives the value of the car t years after its purchase. Write your answer in the form f(t)=a(b)t.
Answer:
The answer is "[tex]\bold{11000(0.83)^t}[/tex]".
Step-by-step explanation:
[tex]\bold{ \text{selling price}} = \$ 11,000 \\\\\bold{ \text{loses}} = 17 \%[/tex]
[tex]\bold{\to f(t)= c (1-r)^t} \\\\[/tex]
[tex]=11,000 (1- 0.17)^t\\\\=11,000(0.83 )^t[/tex]
Increased by 175%, the number of 24 becomes what?
Answer:
66
Step-by-step explanation:
increase the number by 175% of its value.
percentage increase = 175% × 24
new value =
24 + percentage increase =
24 + (175% × 24) =
24 + 175% × 24 =
(1 + 175%) × 24 =
(100% + 175%) × 24 =
275% × 24 =
275 ÷ 100 × 24 =
275 × 24 ÷ 100 =
6,600 ÷ 100 =
66
solve the system of equations
y=x-2
x+y=10
Answer:
Step-by-step explanation:
x + x - 2 = 10
2x - 2 = 10
2x = 12
x = 6
y = 6 -2
y = 4
(6,4)
to be proportional, there must be a constant of proportionality
true or false
Answer:
True
Step-by-step explanation:
There must be a constant of proportionality.
Hope this helps!
At one gas station, gas costs $2.75 per gallon. Write an equation that relates the total cost, C , to the number of gallons of gas purchased, g.
Answer:
C = 2.75g
Step-by-step explanation:
The total cost of the gas purchased is the product of the price per gallon and the number of gallons.
Hope this helps. :)
Ten less than a number is twice the same number
Meaning lees 10 from 20 and multiply
Hi there!
First of all, let the unknown number be z.
Now, subtract 10:
z-10
This expression is equal to twice the same number:
z-10=2z
Solve this equation:
z-2z=10
-z=10
Divide both sides by -1 in order to get rid of the minus sign:
z=-10
Hope everything is clear.
Let me know if you have any questions!
#KeepLearning
:-)
What is the greatest common factor of 22 and 11?
Answer:
ur answer is 11 hopefully that's help
Find the slope of the line passing through the points (8,-4) and (-6,-3).
Anybody know this ?
Answer:
= -1/14
Step-by-step explanation:
We can use the slope formula
m = ( y2-y1)/(x2-x1)
= ( -3 - -4)/( -6 -8)
= ( -3+4)/( -6-8)
1/-14
= -1/14
Find the mean of these numbers:
2,57, 38, 42,6
Answer:no
Step-by-step explanation:
Answer:
29
Step-by-step explanation:
add all of those numbers and divide it by the value of how many numbers there are in total.
The slope of a line is 15 and the point (3, -1) lies
on the line. Write an equation of the line in
point-slope form.
Answer:
The answer is
[tex] \huge y + 1 = 15(x - 3) \\ [/tex]
Step-by-step explanation:
To find an equation of a line in point slope form when given the slope and a point we use the formula
[tex]y - y_1 = m(x - x_1)[/tex]
where
m is the slope
( x1 , y1) is the point
From the question we have the final answer as
[tex]y + 1 = 15(x - 3)[/tex]
Hope this helps you
What is the value of the expression -7+-4
Answer:
-11
Step-by-step explanation:
This is the answer because:
1) First, multiply the negative sign with the positive sign.
Negative x Positive = Negative
Equation: -7 - 4
2) Now, multiply the negative sign with the negative sign.
Negative x Negative = Positive
Equation: 7 + 4 = 11
3) Finally, add the greater number's sign (-7) in front of the number.
-11
Hope this helps! :D
4. Gabby ate 25 % of a whole pepperoni pizza.
Lebron ate 1/8 of the pizza.
What fraction of the pizza was left for Mohamed to eat?
Answer:
There is 5/8 left for Mohamed to eat.
Step-by-step explanation:
Let's put everything into fractions of 1/8. knowing that 25% is 1/4 or 2/8, 1/8 + 2/8= 3/8. and to find the answer, you need to subtract 3/8 from 8/8 or 1.
As a result, 5/8.
1/8 = 12.5%
12.5% + 25% = 37.5%
We need to know how much is left.
37.5% is gone, so 100% - 37.5% = 62.5%
62.5% is left for Mohamed to eat.
62.5% = 5/8.
5/8 of a pizza is left for mohamed to eat.
5.7% interest on $375 18 month loan
Please help guys this has to be do in 10:00 please help
Answer:
1)14oz
2)28oz
Step-by-step explanation:
1) To find the amount of water is left in the bottle you want to substract 1/3 so the first thing you want to do is find what 1/3 of 42 is. So do this: (This is also 42/3)
42*1/3=14
So we now know that 14 is 1/3 of 45 which is the first answer. To find the second answer you want to substract 14 from 42 which is 28.
So that means she has 28 oz of water left when she gets there.
The ratio of chocolate
chip cookies to total
cookies on a tray is 3:5.
What percent of the tray
is chocolate chip
cookies?
Answer:
The percent is 75%
Step-by-step explanation:
12% of 72 is what number
Answer:
8.64
Step-by-step explanation:
8.64
[tex]12\;percent\;of\;72=8.64[/tex]
1. Refer to the equation 3x − 5y = 15. (a) Create a table of values for at least 4 points. Show your work on how you found the values for each coordinate pair, and validated the points were on the line. Work for Point 1 Work for Point 2 Work for Point 3 Work for Point 4
Answer:
We have the equation:
3x - 5y = 15
a) We want to create a table with at least 4 points.
To do this, first, let's write the equation as a function: We must isolate one of the variables. Let's isolate y.
5y = 3x - 15
y = (3/5)*x - 3.
Then we have a linear equation.
Now, we can input different values of x, and see what value takes y in each case, then in this way we can be sure that the points will be on the line.
x = 0.
y = (3/5)*0 - 3
y = -3
Then we have the point (0, -3).
x = 1.
y = (3/5)*1 - 3 = 3/5 - 15/5 = -12/5
y = -12/5
Then we have the point (1, -12/5)
x = 5
y = (3/5)*5 - 3 = 3 - 3 = 0
y = 0
then we have the point (5, 0)
x = 10
y = (3/5)*10 - 3 = 6 - 3 = 3
y = 3
Then we have the point (10, 3).
Now we can create the table
[tex]\left[\begin{array}{ccc}x&y\\0&-3\\1&-12/5\\5&0\\10&3\end{array}\right][/tex]
Below you can see a graph, where the blue dots are our 4 points, and the green line is the line that represents the equation.
If you have metamorphic rock and melt it, what does it become?
A. Magma
B. Minerals
C. Sedimentary Rock
D. Soil
Step-by-step explanation:
When metamorphic rock melts it turns into magma.
What is the answer to -1x(-2)
Answer: 2x
Step-by-step explanation:
Answer:
2x
Step-by-step explanation:
Since there's two negative signs, the product should be positive. Just multiply 1x and 2 together to get the answer. :D