Linear function is represented by the equation f(x) = mx + b
Where, m = rate of change and b = Initial quantity
Function representing the total amount spent will be P(x) = 15x + 4000
Points to focus upon,
Sam charges fixed charges $4000 for 200 guests.In addition to it $15 per person over 200 guests.Let the number of guests over 200 are 'x'.
Therefore, amount of money spent on 'x' guests = $15x
And the number of guests in the party = 200 + x
Total amount spent on (200 + x) guests = $(4000 + 15x)
If P(x) represents the total amount spent, function for the total expenditure will be,
P(x) = (4000 + 15x)
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Which of the following statements is equivalent to 28 + 16?
14(2 + 2)
4(7 + 4)
4 + (24 + 12)
14(14 + 2)
Answer:
4(7+4)
Step-by-step explanation:
4×7=28
4×4=16
28+16
Answer:
4(7 + 4)
Step-by-step explanation:
28+16 = 44
4×11 = 44
Solve for the value of v.
Answer:
9
Step-by-step explanation:
Since it is a straight line, therefore it will always be 180°
So...
(8v +3) +105 = 180
8v + 3 + 105 = 180
8v = 180 - 108
V = 72/8
= 9
Answer:
[tex]\boxed {\boxed {\sf v=9}}[/tex]
Step-by-step explanation:
In the diagram, there are 2 angles: 105° and (8v+3)°. They are on a straight line together, so they are supplementary angles. They must add to 180 degrees. We can set up an equation.
[tex]105 + (8v+3) = 180[/tex]
We are solving for v, so we must isolate the variable. First, we can rearrange the right side and combine the like terms (the constants without a variable).
[tex]105 +8v+3= 180 \\8v + (105+3) = 180 \\8v + 108= 180[/tex]
108 is being added to 8v. The inverse operation of addition is subtraction. Subtract 108 from both sides of the equation.
[tex]8v+108-108= 180-108 \\8v= 180-108 \\8v=72[/tex]
v is being multiplied by 8. The inverse operation of multiplication is division. Divide both sides by 8.
[tex]\frac {8v}{8}= \frac{72}{8}\\[/tex]
[tex]v= \frac{72}{8}[/tex]
[tex]v=9[/tex]
v is equal to 9.
Could someone please answer with a step by step explanation?
[tex] \huge \boxed{\mathfrak{Question} \downarrow}[/tex]
[tex] \sf \: 3 ( \frac { 3 } { 4 } ) + 4 ( \frac { 1 } { 2 } - \frac { 3 } { 8 } ) + 2 = ? \\ [/tex][tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]
[tex] \sf \: 3 ( \frac { 3 } { 4 } ) + 4 ( \frac { 1 } { 2 } - \frac { 3 } { 8 } ) + 2 \\ [/tex]
Express [tex]\sf3\times \left(\frac{3}{4}\right)[/tex] as a single fraction.[tex] \sf\frac{3\times 3}{4}+4\left(\frac{1}{2}-\frac{3}{8}\right)+2 \\ [/tex]
The least common multiple of 2 and 8 is 8. Convert 1 / 2 and 3 / 8 to fractions with denominator 8.[tex] \sf\frac{9}{4}+4\left(\frac{4}{8}-\frac{3}{8}\right)+2 \\ [/tex]
Because 4 / 8 and 3 / 8 have the same denominator, subtract them by subtracting their numerators.[tex] \sf\frac{9}{4}+4\times \left(\frac{4-3}{8}\right)+2 \\ [/tex]
Subtract 3 from 4 to get 1.[tex] \sf\frac{9}{4}+4\times \left(\frac{1}{8}\right)+2 \\ [/tex]
Multiply 4 and 1 / 8 to get 4 / 8.[tex] \sf\frac{9}{4}+\frac{4}{8}+2 \\ [/tex]
Reduce the fraction 4 / 8 to its lowest terms by extracting and cancelling out 4.[tex] \sf\frac{9}{4}+\frac{1}{2}+2 \\ [/tex]
The least common multiple of 4 and 2 is 4. Convert 9 / 4 and 1 / 2 to fractions with denominator 4.[tex] \sf\frac{9}{4}+\frac{2}{4}+2 \\ [/tex]
Because 9 / 4 and 2 / 4 have the same denominator, add them by adding their numerators.[tex] \sf\frac{9+2}{4}+2 \\ [/tex]
Add 9 and 2 to get 11.[tex] \sf\frac{11}{4}+2 \\ [/tex]
Convert 2 to fraction 8 / 4.[tex] \sf\frac{11}{4}+\frac{8}{4} \\ [/tex]
Add 11 and 8 to get 19.[tex] = \boxed{ \bf \frac{19}{4}} \\ = \underline{\bf4.75}[/tex]
Maths f(x) type of question please help
Since 1 < x < 5, adding each side by a, where a is negative, gives
a > ax > 5a
and adding b to each side gives
a + b > ax + b > 5a + b
or
5a + b < ax + b < a + b
Since 7 < f(x) < 23, it follows that
5a + b = 7
a + b = 23
Solve for a by eliminating b :
(5a + b) - (a + b) = 7 - 23
4a = -16
a = -4
Solve for b :
-4 + b = 23
b = 27
Identify the statement as an expression or an equation.
3(4x - 12)
2
4(x - 3)
Answer:
expression
Step-by-step explanation:
An expression is a number, a variable, or a combination of numbers and variables and operation symbols. An equation is made up of two expressions connected by an equal sign.
I’ll mark u as brainliest!! solve these two equations n show ya work !!
Hope it helps... Mark me brainliest
HELP PLEASE 13 POINTS
Answer:
164
Step-by-step explanation:
The formula is *4
41*4=164
The average cost to own and operate a car in the United States for 2020 was $0.524 per mile.
What is the algebraic expression to describe the total cost to operate a car manually for “m"
miles?
Answer:
y = 0.524m + b is the answerrrr
Paul bought a student discount card for the bus. The card allows him to buy daily bus passes for $1.40.
After one month, Paul bought 19 passes and spent a total of $31.60.
How much did he spend on the student discount card?
Paul spent $________
on the student discount card.
Answer:
$5
Step-by-step explanation:
First, we need to find the total amount he spent on the passes.
We just need to multiply the number of passes by the price of each pass.
19 x 1.4 = 26.6
This means he spent $26.6 on the passes.
Now, we can find out how much he spent on the discount card.
Just subtract his total spending amount by the amount he spent on passes.
31.6 - 26.6 = 5
He spent $5 on the discount card.
7(4n-9) - 3(n-7)
Use the Distributive Property to
write an equivalent expression.
Answer:
25n - 42Step-by-step explanation:
Distributive Property:
a(b + c) = ab + acGiven:
7(4n-9) - 3(n-7)Simplify:
7(4n-9) - 3(n-7) =28n - 63 - 3n + 21 = 25n - 42Answer:
[tex]25n - 42[/tex]
Step-by-step explanation:
[tex]7\left(4n-9\right)-3\left(n-7\right)[/tex]
[tex]7\left(4n-9\right)[/tex]
[tex]28n-63[/tex]
[tex]=28n-63-3\left(n-7\right)[/tex]
[tex]-3\left(n-7\right)[/tex]
[tex]3n+21[/tex]
[tex]=28n-63-3n+21[/tex]
[tex]\mathrm{Group\:like\:terms}:-[/tex]
[tex]28n-3n-63+21[/tex]
[tex]=25n-42[/tex]
OAmalOHopeO
Lawrence's check at Fresh Catchery is $23.09. In order to leave a 13% tip, how much should he pay? Round to the nearest cent.
Answer:3
Step-by-step explanation: 23.09 * 0.13 =3 rounded up
Find the area of a circle clock tower face if the circumference is 24pi units
Answer:
We will use the circumference formula to find the radius. Then the radius is 12. Now we will calculate the area of the the circle. Then the area of the circle is A= 144pi = 452.39 square units.
Step-by-step explanation:
Please HELP there is a picture provided above
Answer:
20 rational. 5/6 rational. square root of 20 is irrational. d is irrational
Step-by-step explanation:
bc its an integer. 5/6 can be written in p/q form, where p and q are integers and q is a non-zero number. not a whole number. its a non terminating number
Which of the following values are in the range of the function graphed below? Check all that apply.
A. -1
B. 2
C. 1
D. -6
E-2
Answer:-6 and -1
Step-by-step explanation:
Meg spent ninety minutes working out at Anytime Fitness.
She spent 60% of her time lifting weights. How many minutes
did she spend lifting weights?
Answer:
54 mins
Step-by-step explanation:
Two more than three- fourths of a number is 8. What is the number?
Answer:8
Step-by-step explanation:
3/4n +2=8
3/4n=8-2
n =( 6)/(3/4)
24/3=8
What are the x-intercepts of the equation?
y=x2−9x2−16
Answer:
x = 17
Step-by-step explanation:
[tex]y = x2 - 9 \times 2 - 16[/tex]
[tex]0 = 2x - 18 - 16[/tex]
[tex]0 = 2x - 34[/tex]
[tex] - 2x = - 34[/tex]
[tex]x = 17[/tex]
HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! PLEASE FAST SUPER QUICK I GOT NO TIME ITS BEEN 2 HOURS IMAGE BELOW
According to the National Sleep Foundation, teenagers need about 9 hours of sleep each night to function at their best. Unfortunately, many teens do not get nearly this amount. Two samples of 100 teenagers were asked about the average number of hours they sleep each school night. The results are recorded in the table below.
< 4 4 - 6 6 - 8 8 - 10 10 +
Sample #1 2 9 39 44 6
Sample #2 1 12 34 48 5
Based on the results of the survey, which of the following inferences are valid?
Adults need less sleep than teenagers.
About half of teenagers get less than 8 hours of sleep each school night.
At least 10% of teenagers have sleep-related issues, such as depression, insomnia, and drowsiness during the day.
Half of teenagers get the recommended 9 1/4 hours of sleep each school night.
More than 90% of teenagers get between 4 and 10 hours of sleep each school night.
Answer:
About half of teenagers get less than 8 hours of sleep each school night.
Answer:
About half of teenagers get less than 8 hours of sleep each school night.
Step-by-step explanation:
Solve
| 2x + 6 | = x
Answer:
1) soln,
or,2x+6=x
or,2x-x= -6
or,x= -6
•°•x= -6 Ans#
Help me please I’m so confused ):
On August 10, 1936, a temperature of 120ºF. was recorded un Ponds, Arkansas. On Febrery 13, 1905, Ozark, Arkansas, recorded a temperature of -29ºF. What is the difference between these two temperatures?
Answer:
47
Step-by-step explanation:
Answer:
is this cold for - Febrery for August this 120 F
Step-by-step explanation:
Which is equivalent to log2^n=4?
Answer:
D
Step-by-step explanation:
Your bill for lunch was $54.70. The service was very good so you decide to tip the server 20%. You do not have anything with you to help you calculate the tip. How much would you estimate is a 20% tip on a bill of $ 54.70?
Answer:
$11
Step-by-step explanation:
20% is fifth part of 100%
$54.70 ÷ 5 ≈ $55 ÷ 5 = $11
For each equation below, solve for x.
a) 3 (x-1) = 2x - 3 + 3x
b) 4x + 1/3 = x - 5/2
c) 1/2x - 17 = -23
Cal went to the store to buy half liter bottle of water . One bottom cost 3$ but he saw one liter bottle that cost 5$ what is the unit price of a half liter bottle and a one liter
please need help asap
Answer:
4 < x [tex]\leq[/tex] 7
Step-by-step explanation:
colored circle means it's also a possible value
Find the inverse of the function: f(x)=1/5x+4
A f−1(x)=x−4
B f−1(x)=5x−20
C f−1(x)=−5x−4
D f−1(x)=4x−5
Answer:
B. [tex] {f}^{ - 1} (x) = 5x - 20[/tex]
Step-by-step explanation:
[tex]f(x) = \frac{1}{5} x + 4[/tex]
[tex]y = \frac{1}{5} x + 4[/tex]
[tex]x = \frac{1}{5} y + 4[/tex]
[tex] \frac{1}{5} y + 4 = x[/tex]
[tex]y + 20 = 5x[/tex]
[tex]y = 5x - 20[/tex]
[tex] \boxed{\green{{f}^{ - 1} (x) = 5x - 20}}[/tex]
Jenna bought a gallon of milk at the store for $3.58. About how much change did she receive from a $20 bill?
Hi! I'm happy to help!
When Jenna bought the milk, it deducted (subtracted) $3.58 from her $20. So, let's subtract that here:
20.00
- 3.58
We have to borrow:
19.9(10)
- 3.58
10-8=2
19.9(10)
- 3.58
. 2
9-5=4
19.9(10)
- 3.58
.42
9-3=6
19.9(10)
- 3.58
6.42
and 1-0=1
19.9(10)
- 3.58
$16.42
So, Jenna would receive $16.42 in change for her $20 bill.
I hope this was helpful, keep learning!
Picture provided above please help if can !
Answer:
10.1
Step-by-step explanation:
I just put in a calculator and got the answer.
HELP WILL GIVE BRAINLIEST
