The Johnson family went out to lunch.
• The meal cost $46.72.
. The sales tax was 8% of the cost of the meal.
• The tip was 15% of the meal and sales tax.
• There are 4 people in the Johnson family.
How much did the meal cost per person, including sales tak and tip?
A. $14.00
B. $14.50
C. $14.95
D. $15.25
Answer:
14.50
Step-by-step explanation:
What is the surface area of a cone with a radius of 6 meters and a slant height of 8 meters? Round to the nearest tenth. *
10 points
263.8 m2
904.0 m2
452.0 m2
1,055.2 m2
Answer: 263.8m2
Step-by-step explanation:
Formula: S.A=Pi x radius2 + Pi x radius x slant height
How can you use transformations to solve problems?
Choose all that are correct
А
You can use translations to describe a change in the shape of a figure.
B
You can use reflections to describe a change in the size of a figure.
C.
You can use rotations to describe a change in the position of a figure.
Answer:
C, you can use rotations to describe a change in the position of a figure.
write the following number in standard form plezz
7.6 x 10^3
10^3=1,000
Anything multiplied by 1 is that number. In this case, multiply 7.6 by 1, then add 3 zeroes.
---
hope it helps
Answer:
7,600
Step-by-step explanation:
when you have to multiply by 10 to a power, you just move the decimal to the left as many times as by the power
Identify the center and radius of the circle with the following equation: [tex]x^2+y^2+4x+8y+11=0[/tex]
Hey there,
Put the equation into the circle equation [ (x - h)² + (y - k)² = r² ].
x² + y² + 4x + 8y = -11
(x² + 4x) + (y² + 8y) = -11
(x + 2)² + (y + 4)² = 9
If that is confusing, you can always rewrite it to show exactly what you need in the circle equation.
(x - (-2))² + (y - (-4))² = 3²
Therefore, using the circle equation we can see that the center is at the point (-2, -4) and the radius is 3.
Best of Luck!
Answer:
[tex] \displaystyle \text{centre} :( - 2, - 4)[/tex]
[tex] \text{redius} : 3[/tex]
Step-by-step explanation:
we are given a circle equation
[tex] \rm \displaystyle {x}^{2} + {y}^{2} + 4x + 8y + 11 = 0[/tex]
we want to figure out the centre and the redious of the circle from the equation notice that the given circle equation is in general form given by
[tex] \rm \displaystyle {x}^{2} + {y}^{2} +A x +B y +C = 0[/tex]
general form of circle equation is a simplified version of standard form. the standard form of circle equation is given by:
[tex] \displaystyle (x - h {)}^{2} + (x - k {)}^{2} = {r}^{2} [/tex]
where:
(h,k) is the centrer is the rediousnotice that the there're two completed squares in the standard form therefore we can consider completing square to figure out the centre and the redious
indentifying centre and redious:
rearrange:
[tex] \rm \displaystyle ( {x}^{2} + 4x ) +( {y}^{2} + 8y) + 11 = 0[/tex]
cancel 11 from both sides:
[tex] \rm \displaystyle ( {x}^{2} + 4x ) +( {y}^{2} + 8y) = - 11[/tex]
add 4 to the both sides so that the equality don't affect:
[tex] \rm \displaystyle ( {x}^{2} + 4x + 4) +( {y}^{2} + 8y) = -11 + 4[/tex]
simplify addition:
[tex] \rm \displaystyle ( {x}^{2} + 4x + 4) +( {y}^{2} + 8y) = - 7[/tex]
once again to complete the square add 16 to both sides which yields:
[tex] \rm \displaystyle ( {x}^{2} + 4x + 4) +( {y}^{2} + 8y + 16) = 9[/tex]
complete the squares by using (a+b)²=a²+2ab+b² pattern:
[tex] \rm \displaystyle ( {x}+ 2) ^{2} +( {y} + 4) ^{2} = 9[/tex]
we can still rewrite it to figure out the redious and the centre:
[tex] \rm \displaystyle ( {x} - ( - 2)) ^{2} +( {y} -( - 4) ) ^{2} = {3}^{2} [/tex]
therefore we obtain:
centre:(h,k)=(-2,-4)redious:r=3and we are done!
Complete the table of equivalent ratios.
3
5
10
9
20
25
Answer:
Step-by-step explanation:
The first is 2, the second is 6 and the third is 14.
Help plzzzz for points 30 points
Answer:
B is the correct answer I believe..
Step-by-step explanation:
Answer: I strongly believe it is B
Step-by-step explanation:
i need this done today whoever gets it correct gets brainliest!! PLZZZ HELPPP MEEE
Answer:
9x+6
Step-by-step explanation:
8. Identify the x and y intercept of the equation:
12x - 8y = 48
Answer:
X- intercept(S) : (4,0)
Y- Intercept(S) : (0, -6)
Step-by-step explanation:
To find the x-intercept, substitute in 0 for y and solve for x. To find the y-intercept, substitute in 0 for x and solve for Y.
Hopes this helps!
The x- intercept (4, 0) and y intercept ( 0, -6).
What is Intercept?The points where a line crosses an axis are known as the x-intercept and the y-intercept, respectively.
when the independent variable is 0 and you want to know the value of the dependent variable (zero).
Given:
Equation: 12x - 8y = 48
Now, for x- intercept put y= 0
12x - 8(0)= 48
12x= 48
x= 4
and, for y- intercept put x= 0
12(0) - 8y= 48
-8y= 48
y= -6
Hence, the x- intercept (4, 0) and y intercept ( 0, -6).
Learn more bout intercept here:
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A super is having a sale on tomatoes, 4 tomatoes for $.98. How much would it cost to buy 10 tomatoes
Answer:
Step-by-step explanation:
We need to multiply 0.98 by 2 which is 1.96 now we need to divide 0.98 by two which is 0.49, so add those together and you have 2.45. Hope this helps :)
-(4k^2-13k-12)+5k^2-8k How would I be able to write this in standard form with the greatest exponent being first.
Answer:
Step-by-step explanation:
Negative sign is outside the parenthesis. So, each term of (4k² - 13k -12) should be multiplied by (-1)
-(4k² - 13k -12) + 5k² - 8k = 4k²*(-1) - 13k*(-1) - 12*(-1) + 5k² - 8k
= -4k² + 13k + 12 +5k² - 8k
Combine like terms,
= -4k² + 5k² + 13k - 8k + 12
= k² + 5k + 12
Like terms are the terms with same variable with same exponent.
(-4k² ) and 5k² are like terms
13k and (-8k) are like terms
Pls I need to know now
Tom's current age is 5 times Mia's age 10 years ago. What is Tom's current age in
terms of m?
Answer:
5m-50
Step-by-step explanation:
let's take Mia's current age as M
ten years ago Mia would be
m-10
Tom bring five times Mia's age that should be
(m-10)5
5m-50
For her cell phone plan, Jane pays $30 per month plus $0.05 per text. She wants to keep her bill under $60 per month. What is the maximum number of texts that can Heather send each month while staying within her budget?
jill uses some of her honey to make lotion. if each bottle of lotion requires 1/4 gallon and she uses a total 3 gallons how many bottles of lotion does she make
Answer:
am gonna need more imformation
Step-by-step explanation:
Write an algebraic expression that represents
the following phrase:
The product of 8 and 12
Answer:
[tex]8*12[/tex]
Step-by-step explanation:
First, the problem asks for an expression; this means that there should be no equal sign. Also, the keyword "product" means that both the terms must be multiplied. So, [tex]8*12[/tex] is the final expression; this equals 96.
PLEASE HELP 15 POINTS
Find m RS
S
(6x-28)
(4x+ 20)
Answer:
arc RS = 116°
Step-by-step explanation:
Since the 2 chords are congruent then their minor arcs are congruent, that is
SR = TU, substitute values
6x - 28 = 4x + 20 ( subtract 4x from both sides )
2x - 28 = 20 ( add 28 to both sides )
2x = 48 ( divide both sides by 2 )
x = 24
Then
arc RS = 6x - 28 = 6(24) - 28 = 144 - 28 = 116°
A pet store employee measures the lengths of two pet snakes, Noodles and Squiggles. Noodles measures 30 inches long, and Squiggles measures 2 feet 10 inches long. Which snake is longer, and by how much?
Answer:
4
Squiggles
Step-by-step explanation:
steps
convert the length of squiggles from feet to inches find the difference1 feet = 12 inches
2 feet = 2 x 12 = 24 inches
length of squiggles = 24 + 10 = 34 inches
squiggles is longer because 34 is greater than 30
difference = 34 - 30 = 4
Use the graph to answer questions 1-5
1) What are the x-intercepts of the
parabola?
2) What is the vertex of the parabola?
3) What is the equation of the axis of
symmetry of the parabola?
4) What is the equation of the function in vertex form?
More angles? More Spain- without the S. Anyway here we go!
simplify polynomials 11x⁴+3x²-10+2x³-3x⁴+9
How many hundredths are in the number 2912.468
Answer:
6
Step-by-step explanation:
For the following rectangular prism, drag and drop the steps needed to find the volume in the correct order. Then type the volume in the last box. Not all pieces will be used.
Picture shown.
Answer:
Volume = 100 [tex]in^{3}[/tex]
Step-by-step explanation:
Volume, V= Bh
length = 10 inches
width = 5 inches
height = 2 inches
So that,
B = 5(10)
= 50 [tex]in^{2}[/tex]
B = 50 [tex]in^{2}[/tex]
Then,
V = (50)(2)
= 100
v = 100 [tex]in^{3}[/tex]
what is the value of x?
x² + 8² = 10²
x² + 64 = 100
x² = 100 - 64
x² = 36
x = 6
helpppppppppppppppppppppppppp
Answer:Hmm okay its C because i had that before
Step-by-step explanation:
if its wrong then i dont know because my brother told me
Type in the missing terms in this sequence of square numbers.
1, 4, 9, ?,25,36,?,64,81,100,?,144
Tina bought a car for $5000. After owning the car for a year, it had a depreciation of 15%.
a) How much is the car worth now?
b) How much did the cardecrease in value?
Answer:
The car is worth $4250 now and it decreased by $750
Step-by-step explanation:
5000* .85 is 4250
Here is a rectangle.
Explain why the area of the large rectangle is 2a+3a+4a
Answer: Pythagorean theorem
Step-by-step explanation: cannot see the rectangle but I assume it’s the Pythagorean theorem
The sum of the area of all the rectangles will be 2a + 3a + 4a.
What is rectangular shape?A quadrilateral with parallel sides that are equal to one another and four equal vertices is known as a rectangle.
Given:
The large rectangle has length a and width (2 + 3+ 4)
Area of the rectangle = L×W square units
A = a (2 + 3+ 4)
A = 2a + 3a + 4a
Therefore, the area of the large rectangle is 2a+3a+4a
To learn more about the rectangular;
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PLEASE HELP ME!
In a classroom of 50 students, 30 of them prefer iPads and the rest prefer laptops. what is the ratio of iPads to laptops? Answer in simplest form. If you could, please write out an explanation.
Answer:
60;40
Step-by-step explanation: 50* 2 = 100
so multiply every thing else by it to
in simplest form tho itd be 3;2
he output is five less than triple the input