The cost of Matt and Natalie's dinner was $27.35. They want to leave a 20% tip. Which of the following is the closest to the amount of the tip they want to leave?
A. $4.00
B. $4.50
C. $5.00
D. $5.50
Answer:
Option D is correct.
Step-by-step explanation:
27.35 x 20/100
=> 2.735 x 2/1
=> $5.47
=> $5.50 (Rounded)
Therefore, Option D is correct.
Hoped this helped.
Pls help fast
What is the recursive rule for the sequence shown in the graph
Answer:
[tex]a_{n} =a_{n-1} -4[/tex]
explanation:
The recursive rule for the given graph will be [tex]a_{n} = a_{n-1}-4[/tex] thus, option (A) is correct.
What is a graph?A graph is a diametrical representation of any function between the dependent and independent variables.
For example y = x² form a parabola now by looking at only the graph we can predict that it has only a positive value irrespective of the interval of x.
In the given graph, as n increases [tex]a_{n}[/tex] decreases.
At n = 4 , a₄ = a₃ - 4 = 5 - 4 = 1
Thus, [tex]a_{n} = a_{n-1}-4[/tex] will be the recursive rule.
Hence "The recursive rule for the given graph will be [tex]a_{n} = a_{n-1}-4[/tex]".
To learn more about graphs,
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4 + 4 + 4 + 4 + 4 if it is converted into multiplication form it becomes
Kal decides to open a home-based cupcake business. His cost is an initial value of $10 in operating expenses plus $0.25 to make each cupcake. He will sell each cupcake at $1.50 to try and make a profit. How many cupcakes will he need to sell before he makes a profit?
Also need an equation
Answer:
4
Step-by-step explanation:
1. (2x+5)+(3x-2)=
2. (3x-2)-(2x+5)=
3. (2x+5)-(3x-2=
Answer:
5x+3x -7-x +7Step-by-step explanation:
Combine like terms. The associative and commutative properties of addition apply, as does the distributive property.
__
1. (2x+5)+(3x-2) = (2x +3x) +(5 -2) = 5x +3
__
2. (3x-2)-(2x+5) = 3x -2 -2x -5 = (3x -2x) +(-2 -5) = x -7
__
3. (2x+5)-(3x-2) = 2x +5 -3x +2 = (2x -3x) +(5 +2) = -x +7
_____
Additional comment
Note that swapping the order of operands in a subtraction problem (problems 2 and 3) will cause the sign of the result to reverse.
Answer:
1. = 5x+3
Step-by-step explanation:
Can you pls help.
If you do I will give you brain list but only if it’s right
Answer:
y=-2x-7
Step-by-step explanation:
To find the slope intercept form:
y+mx+b
m is the slope and b is the y-intercept.
We can take the first two points and find the slope by:
[tex]\frac{y2-y1}{x2-x1}[/tex] ->
[tex]\frac{-5-3}{-1- - 5}[/tex] = -2.
That’s the slope.
For the y-intercept we solve the equation:
y=−2(−5)+b -> b = -7
now we have the slope and y-intercept so the equation is:
y=-2x-7
Hope that helps!
Find the perimeter. Simplify the answer.
Answer:
34p-16
Step-by-step explanation:
Perimeter of parallelogram
= 2(9p-10)+2(8p+2)
= 18p-20+16p+4
= 34p-16
What is 9/10 divided by 3/4
Answer:
1.5
Step-by-step explanation:
Find the reciprocal of the divisor
Reciprocal of
3
4
:
4
3
Now, multiply it with the dividend
So,
9
10
÷
3
4
=
9
10
×
4
3
=
9 × 4
10 × 3
=
36
30
After reducing the fraction, the answer is
6
5
In mixed form: 1
1
5
Answer: 0.075 (decimal form) or (fraction form) 3/40 or 7.5% (percentage form)
Step-by-step explanation:
Mitchell solves the following system of equations using the elimination method.
−2x+3y=6
4x−6y=−6
He chooses to eliminate the variable x.
Which statement correctly describes his process and solution?
Answer:
Mitchell multiplies −2x+3y=6 by 2 and then adds the equations. He finds the result is a contradiction, so there is no solution.
Step-by-step explanation:
Choose the correct answer to 7,215 divided by 34 with a remainder
Answer:
0,212205882352941
Step-by-step explanation:
What shape has 5 faces, 6 vertices and 9 edges.
Answer:
Triangular prism
Step-by-step explanation:
1. What is the vertex for the following quadratic function, y = 2x^2 - 4x + 5?
A). (1,3)
B). (3, 1)
C) (0,5)
D). (2,5)
Answer:
A
Step-by-step explanation:
Given a quadratic in standard form
y = ax² + bx + c ( a ≠ 0 )
Then the x- coordinate of the vertex is
x = - [tex]\frac{b}{2a}[/tex]
y = 2x² - 4x + 5 ← is in standard form
with a = 2 and b = - 4 , then
[tex]x_{vertex}[/tex] = - [tex]\frac{-4}{4}[/tex] = 1
Substitute x = 1 into the equation for corresponding value of y
y = 2(1)² - 4(1) + 5 = 2 - 4 + 5 = 3
vertex = (1, 3 ) → A
There are 1580 adults and children on a ship. 60% of them are adults. When the ship arrives are harbour, some of the students alight and the percentage of adults remaining on the ship decreases by 20%. What is the ratio of the children to adults remaining on the ship?
Answer:
379 : 62
Step-by-step explanation:
Let’s gather the info from the problem.
1580 adults and children on a ship.
60% of them are adults.
percentage of adults and students remaining on the ship decreases by 20%
60% of 1580 is 948 so there are 948 adults onboard
leaving the remaining children which is 632
948 Adults
632 Children
Adults decreases by 20% so 758 adults
Children decreases by 20% so 124 children
the ratio is 758:124 simplified would be 379 : 62
What is the simplified expression for the expression belov
4(x + 8) + 5(x - 3)
O 9x + 5
O 9x + 11
O 9x + 17
O 9x + 47
Answer: 9x + 17
Step-by-step explanation: Add 4x and 5x and you get 9x. Next take away 15 from 32 and you get 17 therefore the answer wuld be 9x + 17.
Martha, Brett, and Mike are competing in a cooking competition. They all used different amounts of oil from a can containing 8 gallons of oil.
Martha used 17% of the total oil in the can.
Brett used 0.18 of the total oil in the can.
Mike used 0.7 gallon of the total oil in the can.
Who used the greatest amount of oil from the can? Show your work and explain your answer in words. (10 points)
Answer:
Mike
Step-by-step explanation:
17% = .17
.7 = .70
All that's left is to compare the amounts of oi for each person and decide who has the most, which would be Mike. Hope this helps! (Rate brainliest!)
Answer:
Brett used the most
Step-by-step explanation:
Martha used = 17%
Brett used = 0.18 = 18/100 = 18%
Mike used = 0.7 × 100/8 = 8.75% (he only used 0.7 of ONE of the gallons in the can, not of the total oil in the can)
Therefore, Brett used the greatest amount of oil.
Find The Slope of Each Line
Answer: 2/8 first answer, 6/2 second answer, 3/2 last answer
Step-by-step explanation: The slope should be the rise over the run, so the answer to the first question would be 2/8 which is rise/run which equals the slope the second answer would be 6/2=slope and the the answer to the last question is 3/2 you start from one point, rise until you get next to the other point on the graph, then you run until you get on that point, the you count your rise which will be the top number of your fraction and then you count your run which will be the bottom number of your fraction. I hope this helped if you could even make sense of all of this.
There are 35 students in the elementary band. The band is doing a fundraiser, and each student must sell 12 items. How many items will be sold altogether? Use a different multiplication strategies in each of the short answer questions.
Answer:
Altogether, 420 items will be sold.
Step-by-step explanation:
12 · 35 = 420
Two vertical angles have measures (4x-21)° and (x+6)°. Find the measures of the angles
The measure of the two vertical angles is 15°
The two vertical angles have measures (4x-21)° and (x+6)°
Note that:
The measure of two vertical angles are equal
Therefore, equate (4x-21)° and (x+6)° and solve for x
(4x-21)° = (x+6)°
4x - 21 = x + 6
Collect like terms
4x - x = 6 + 21
3x = 27
x = 27/3
x = 9
Substitute x = 9 into 4x - 21
4x - 21 = 4(9) - 21
4x - 21 = 15°
Substitute x = 9 into x + 6
x + 6 = 9 + 6
x + 6 = 15°
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(Pythagorean theorem) find the missing side length. Round to the nearest hundredth (show steps)
Answer:
The missing length is 10.44
Step-by-step explanation:
a^2 + b^2 = c^2
3^2 + 10^2 = c^2
9 + 100 = c^2
109 = c^2
√c^2 = √109
c = √109
c ≈ 10.440307
c ≈ 10.44
Answer:
10.44
Step-by-step explanation:
Pythagorean theorem equation is a²+b²=c²
3²+10²=c²
9+100=c²........simplify
109=c².............add
√109=c
10.44031
10.44................round to the nearest hundredth
Although mercury is a metal, it is a liquid at room temperature. Mercury melts at about "-39°C." If the temperature of a block of mercury starts at "-54°C." and increases by 22°C, does the mercury melt?
Explain your answer! Please make sure it’s valid.
I need help pls
ASAP
Answer:
look at the picture ..........
Which of these groups of values plugged into the TVM Solver of a graphing
calculator will return the same value for PV as the expression
($415)((1 +0.003)24 – 1)?
(0.003)(1 +0.003)24
The TVM solver is a tool found in graphing calculators, that solve Time
Value of Money problems.
The group of values that will return the same value as the given expression is; D. N = 24; I% = 3.6; PV =; PMT = -415; FV = 0; P/Y = 12; C/Y = 12; PMT :ENDReasons:
In the TVM solver, we have;
I = The annual percentage rate
N = n × t
t = The number of years
PV = Present value
PMT = Payment
P/Y = Number of payments per year = n
C/Y = Number of compounding periods per year = n
The formula for monthly payment is presented as follows;
[tex]M = \mathbf{\dfrac{P \cdot \left(\dfrac{r}{n} \right) \cdot \left(1+\dfrac{r}{n} \right)^{n \times t} }{\left(1+\dfrac{r}{n} \right)^{n \times t} - 1}}[/tex]
Which gives;
[tex]P = \mathbf{\displaystyle \frac{M\cdot \left(\left(1+\dfrac{r}{n} \right)^{n \times t} - 1 \right) }{\left(\dfrac{r}{n} \right) \cdot \left(1+\dfrac{r}{n} \right)^{n \times t}}}[/tex]
Therefore, we get;
Where;
M = PMT = -415
P = PV
r = I
P/Y = n = 12
Therefore;
[tex]\displaystyle 0.003 = \frac{I}{12}[/tex]
I = 0.003 × 12 = 0.036 = 3.6%
N = n × t = 24
[tex]P = \displaystyle \frac{(415)\cdot \left(\left(1+\dfrac{I}{12} \right)^{24} - 1 \right) }{\left(\dfrac{I}{12} \right) \cdot \left(1+\dfrac{I}{12} \right)^{24}} = \mathbf{\displaystyle \frac{(415)\cdot \left(\left(1+0.003\right)^{24} - 1 \right) }{\left(0.003\right) \cdot \left(1+0.003 \right)^{24}}} = ?[/tex]
The value of the equation is the present value, PV = ?
When payment are made based on the PV, we have FV = 0
The group of values the same value as the expression[tex]\displaystyle \frac{(\$415)\cdot (1 + 0.003)^{24} - 1}{(0.003) \cdot (1 + 0.003)^{24}}[/tex], when plugged into the TVM solver of a calculator is; D. N = 24; I% = 3.6; PV =; PMT = -415; FV = 0; P/Y = 12; C/Y = 12; PMT :END
Learn more about Present Value Solver here:
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You are organizing books on the shelf. Each book has a width of 3/4 inches. write and solve an equality for the numbers of books b can fit on the shelf
3/4 = 0.75 inches
24 inches / 0.75 inches
= 32 books
Help me with math!!!!
Answer:
-4
Step-by-step explanation:
so t is greater than -5, and for negatives, you need to get nearer zero.
3. Expand. 3(8 - 6j)
[tex]3(8-6j) = 24 - 18j[/tex]
Consider the figure below and mark the line segments and angles that are congruent, given that H is the incenter of the triangle.
21
2+1=21
is the answer good hqahahahahahah
whats the GCF of 77 and 55
Answer:
GCF= 11
Step-by-step explanation:
How to find number of combinations.
Answer: Remember, the formula to calculate combinations is nCr = n! / r! * (n - r)!, where n represents the number of items, and r represents the number of items being chosen at a time.
Step-by-step explanation:
plz help. what is the simplified expression for
Answer:
3²
Step-by-step explanation:
3³x3³=3^6
3^6÷3^4=3²
tim drives at an average speed of 80km per hour for 3 hours 35 minutes work out how many kilometres tim drives
Answer:
286 2/3 km
Step-by-step explanation:
Recalling that 1 hour = 60 minutes, we convert '3 hours 35 minutes' to
3 + (35/60) hours, or 3 35/60 hours, or 3.5833 hours.
Since distance = (rate)(time),
the distance driven by tim is (80 km/hr)(3.5833 hrs) = 286 2/3 km