Serena, Alyssa and Katie have just finished lunch at the Rainforest Cafe. Their bill came to $38.96. There is an 8% sales tax. The girls have decided to leave a tip of 15% on the total amount of the bill. How much money did the entire bill come to including the tip?
Answer:
About $48.39
Step-by-step explanation:
Sales tax only applies to the bill, not the tip.
Calculate the sales tax:
38.96 × 8%
38.96 × 0.08
3.1168
Round to the nearest cent:
3.12
Add the sales tax to the bill:
38.96 + 3.12
42.08
Calculate the tip based "on the total amount of the bill:"
42.08 × 15%
42.08 × 0.15
6.312
Round to the nearest cent:
6.31
Add the tip to the rest of the bill:
42.08 + 6.31
48.39
PLEASE HELP ASAP
The equation of the linear regression line represents the relationship between the amount a person saved, x, and the amount earned, y.
y^= 100x + 50
What does the slope of the line represent?
Hence, the slope of the line means for every one dollars the person earn the saving decrease by 1 dollars
How to know what the slope of a line represents?The equation of the linear regression line represents the relationship between the amount a person saved, x, and the amount earned, y.
Therefore,
y = 100x + 50
Using the linear equation model,
y = mx + b
where
m = slopeb = y-interceptTherefore,
slope = 100
y-intercept = 50
Hence, the slope represents for every one dollars the person earn the saving decrease by 1 dollars
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Rectangle A and Rectangle B are similar. Rectangle A has side lengths of 12 and 15. Rectangle B has a side length of 60. What are the possible values for the length of the other side of Rectangle B? Select all that apply.
24
30
48
75
Answer:
75
Step-by-step explanation:
since rectangle A with 12 moves to 60 meaning it was multiply by 5 so therefore we multiply the 15 by 5 giving 75
please help :),))))
Answer:
option 1
Step-by-step explanation:
The rate of increasing is the fastest in exponential functions.
Then comes powers and last logarithmic functions.
The order it increases at the fastest rate.
[tex]log < powers < exponential[/tex]
Please use system of linear equations by elimination OR substitution. I need the work as well please.
1) P= 64 cm, width = x, length = 14 + x
64 = x + x + 14 + x + 14 + x
64 = 4x + 28
4x = 64 - 28
4x = 36
x = 36/ 4
x = 9
AREA = 9 x (9+14)
Area = 9 x 23
Area = 207 cm
2) smaller no. = y, bigger no. = x
x - y = 3
2x+1/2y=36
Next, multiply 2 to first equation and find y:
2x-2y=6
5/2y=30
y = 12
Substitue y to x-y=3 to find x,
x = 15
3) x = pencil, y = pen
5x + 4y = $6.15
8x + 3y = 9.85$
8x + 7y = ?
5x + 4y = 6.15$ multiply both sides by -3
8x + 3y = 9.85$ multiply both sides by 4
-15x + 32x = (-3)*6.15 + 4*9.85
7x = 19.87 multiply both sides by 8/7
8x = (8/7) x 19.87
Add both equations:
32y - 15y = 8x6.15 - 5*9.58
17y = 1.3
y = 91/17) x 1.3
7y = (7/17)x 1.3
8x + 7y = (8/7) x 19.87 + (7/17) x 1.3
8x + 7y = $23.244
4) 2l + 2w = 0
2 x 2l + 2 x 1/2w = 40 + 16
l+w = 20
4l+w = 56
I’ve got l = 12 and w = 8
5) answer: 28.56 feet (approx)
step-by-step explanation:
since, triangle abc has measure of angle c equal to 55 degrees, measure of angle abc equal to 90 degrees, and length of bc equal to 20 feet.
we have to find out the measurement of segment ab.
therefore, tan 55° = \frac{ab}{bc}
but bc = 20 feet.
⇒ tan 55 ° = \frac{ab}{20}
⇒ ab = 20 × tan 55 °
⇒ ab = 20 × 1.42814800674
⇒ ab = 28.5629601348 ≈ 28.56 feet
6) The answer is teh attachment !
7) 3x-x+2=4
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PLZZ HELP.... I NEED MY GRADE TO GO UP BC ITS ALMOST MY BIRTDAY AND I CANNOT FAIL!! PLLLLLLLSSSSSSS WILL MARK Brainliest
Last Sunday Lily and Maddie went to Sarah’s Sweet Shop and purchased one cupcake and one brownie. Their bill was $4.50.
The next day they brought their friend Jessica and purchased 3 cupcakes and one brownie. This time their bill was $9.50.
Let x represent the price of each cupcake.
Let y represent the price of each brownie.
2.The first equation in the system is: x+y=4.50x+y=4.50
3.The second equation in the system is : 3x + y = 9.50
4.Solve the system from question 3 to find the price per cupcake.
5.Find the price per brownie.
6.Find the total cost to purchase 4 cupcakes and 4 brownies from the shop.
Answer:
Each cupcake cost $2.50 and each brownie cost $2.00
Step-by-step explanation:
Let x represent the price of each cupcake and let y represent the price of each brownie.
Lily and Maddie bought one cupcake and one brownie for $4.50. Hence the equation is:
x + y = 4.50 (1)
Also Jessica purchased 3 cupcakes and one brownie for $9.50. Hence the equation is given by:
3x + y = 9.50 (2)
To find the price of each cupcake and brownie, we solve equation 1 and 2 simultaneously. To find x, subtract equation 1 from equation 2:
2x = 5
x = $2.50
Put x = $2.50 in equation (1):
2.50 + y = 4.50
y = $2.00
Therefore each cupcake cost $2.50 and each brownie cost $2.00
What is the length of the missing leg?
Answer:
Hello! answer: 6
Step-by-step explanation:
8 × 8 = 64
6 × 6 = 36
64 + 36 = 100
√100 = 10 so therefore a = 6 Hope that helps!
A Mall has 21 shops: 9 are pens, 7 are shoes, and 5 are watch shops. What
is the probability that we will go shopping in pens or shoes shop?
Answer:
16/21
Step-by-step explanation:
9+7 / 21
16/21
Answer:
16/21
Step-by-step explanation:
The demoninator is 21
There are 9 pens and 7 shoes.
9+7=16
16/21
You can not simplify 16/21, so that is your final answer.
find the value of sin30/cos^(2)45 , tan^(2)60+3cos90+sin0
Answer:
according to me the ans is 3.
The lengths of the legs of a right triangle are 8 inches and 9 inches. What is the length of the hypotenuse? Round to the nearest inch. Enter your answer in the box.
The length of the hypotenuse in a right triangle is 12 inches.
What is the Pythagoras theorem?The relationship between the three sides of a right-angled triangle is explained by the Pythagoras theorem, commonly known as the Pythagorean theorem. The Pythagoras theorem states that the square of a triangle's hypotenuse is equal to the sum of its other two sides' squares.
Given that, the lengths of the legs of a right triangle are 8 inches and 9 inches.
Let the length of the hypotenuse be x.
Here, x²=8²+9²
x²=64+81
x²=145
x=√145
x=12.04
x≈12 inches
Therefore, the length of the hypotenuse is 12 inches.
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4.
Evaluate the expression.
33 + 2 x 20 - 4^3 =
Help!!! Whats x ive been struggling
Answer:
x = 2
Step-by-step explanation:
GIVEN :-
KJ = 3 unitsQR = 12 unitsJL = x unitsQS = x + 6 unitsTO FIND :-
The value of xSOLUTION :-
To find the value of x , lets assume that both the triangles are similar to each other. As they are similar , their sides are proportional to each other i.e. :-
[tex]\frac{KJ}{JL} = \frac{QR}{QS}[/tex]
[tex]=> \frac{3}{x} = \frac{12}{x + 6}[/tex]
Cross multiply the denominators.[tex]=> 3(x + 6) = 12 \times x[/tex]
[tex]=> 3x + 18 = 12x[/tex]
Substract both the sides from 3.[tex]=> 12x - 3x = 3x + 18 - 3x[/tex]
[tex]=> 9x = 18[/tex]
Divide both the sides by 9[tex]=> \frac{9x}{9} = \frac{18}{9}[/tex]
[tex]=> x = 2[/tex]
Let A and B be the two non-right angles in a right triangle.
Answer:
Step-by-step explanation:
adjacent=5 ,hypotenuse13 opposite=?
hypotenuse^2=opposite^2+adjacent^2
13^2=opposite^2+5^2
169-25=opposite^2
[tex]\sqrt144[/tex]=opposite
12=opposite
SinA=opposite/hypotenuse
12/13
therefore sinA =`12/13
Which equation is equivalent to -4(y-2)=12?
1. -4(y-2)=3
2. -4(y-2)=-3
3. y-2=12
4. y-2=3
5. y-2=-3
Please I’ll mark you brainliest if you answer
Answer:
–4(y–2)=12
y–2=12/–4
y–2=–3
The choose (5)
HELP PLS MATH !!!!!!!!!!!!!!
fraction form : 8/25
decimal form : 0.32
Answer:
8/25 or if you have to do decimal form it's 0.32
Step-by-step explanation:
What is the area, in square units, of the shaded region? (nearest tenths place)
Answer:
169.6
Step-by-step explanation:
Harry solved a quadratic equation. His work is shown below.
In which step did Harry make an error?
(x - 5)² + 6 = 42
(x - 5)^2 = 36 Step 1
x- 5 = 6 step 2
x = 11 Step 3
Choose 1 answer:
Step 1
Step 2
Step 3
Answer:
x = 11 or x = -1
Step-by-step explanation:
(x-5)^2 = 36
(x-5) = 6 or (x-5)= -6
then x = 11 or x = -1
Answer:
Step 2
Step-by-step explanation:
A coffee roaster is designing a coffee can that can be modeled with a right cylinder for its new Breakfast Blend . Breakfast Blend costs the roaster $0.03 per cubic inch to produce. The roaster wants the can to contain an amount of coffee that will cost him no more than $7.50 to produce. Given that the height of the can is to be equal to its diameter, what is the maximum height allowable for the can? Round to the nearest tenth of an inch.
Answer: 6.8 inches
Step-by-step explanation:
What is the probability that a randomly selected value from the distribution will be less than 2.1 standard deviation from the mean
Answer:
0.9821
Step-by-step explanation:
Probability that a randomly selected value will be less than 2.1 deviations from the mean ; this means the Zscore = 2.1
Hence, using :
P(Z < 2.1) = 0.9821 (standard normal table
= 0.9821
Hello may any of you help me with these two equations I’m having a little hard time thank you =10 points
Answer:
a. 10.08
b. 0.0576
6. help me out please ill mark you brainlist
Answer:
w = 5
Step-by-step explanation:
Combining like terms is a very important part to this equation!
5.2w - 1.4 = 3.2w + 8.6
I added 1.4 to the right side first, though you must do it to the left side of the equation as well
5.2w - 1.4 + (1.4) = 3.2w + 8.6 + (1.4)
5.2w = 3.2w + 10
Combine the remaining like terms. I subtracted 3.2w from both sides.
5.2w + (-3.2w) = 3.2w + (-3.2) +10
2w = 10
Now divide
2w = 10
w = [tex]\frac{10}2}[/tex]
w = 5
A point is on a circle if the distance from the center of the circle to the point is equal to the
area.
circumference.
radius.
diameter
Answer:
radius
Step-by-step explanation:
Answer:
Radius
Step-by-step explanation:
Center of the circle to a point on a circle would be the radius, seeing how as diameter is one edge of the circle to the other edge,of the circle, crossing the middle of the circle
Which diagram is NOT a good model of 1/5÷6?
Answer:
The circle one
Step-by-step explanation:
What you need to do is count the number of squares or slices it has and then count how Buchanan the chunk is divided into, should be 6
==============================================================
Explanation:
Ignore the dashed smaller lines for now. The solid black vertical lines form 4 smaller equal pieces, and not 5. Each tickmark represents 1/4 and not 1/5
So if you wanted to represent a model for [tex]\frac{1}{4}\div 6[/tex], then you would use the lower left corner. However, we want that 1/4 to be 1/5 instead. So this is why the answer is the lower left corner.
Everything else is a correct model. We started dividing everything into 5 equal parts. Then we focused on one of those slices, and subdivided that slice into 6 equal parts. Imagine doing that for each slice and we should have 5*6 = 30 smaller pieces total. Hence [tex]\frac{1}{5} \div 6 = \frac{1}{5} \times \frac{1}{6} = \frac{1}{30}[/tex]
HURRY HELP PLS‼️‼️‼️
10. Use the projectile motion formula and solve the quadratic equation.
Melissa drops a tennis ball from the roof of a building that is 256 feet
high. How long does it take the tennis ball to hit the ground?
Original content Copyright by Houghton Mifflin Harcourt. Additions and changes to the original content are the resp
Answer:
Step-by-step explanation:
To solve this problem you need the function
h(t) = -16t2 + v0t + h0
where t = time
v0 is the initial velocity, which in our case is 0
h0 = initial height, which in our case is 256
h(t) = 0 since we want to know when the ball will hit the ground.
0 = -16 t2 + 256
And we can solve for t
If we rearrange the terms we see that this is a difference of 2 squares
0 = 256 - 16t2
0 = (16-4t)(16+4t)
Setting each factor = 0
16-4t=0 16+4t=4
t = 4 t = -4
The second solution is discarded as time cannot be negative.
So the ball will hit the ground in 4 seconds.
Sasha is collecting cans to recycle. When she collected 180 cans she knew she had reached 60% of her goal
Answer: 300 cans
Step-by-step explanation:
Questions wants to know what her goal was:
When Sasha collected 180 cans, she reached 60% of her goal. This means that 180 is 60% of the goal that she set for herself.
To find this goal, assume that it is denoted as x. In such a case, the goal would be expressed as:
180 = 60% * x
x = 180 / 60%
x = 300 cans
Please please help please
please help guys!!
2.
Recall that
lines never intersect. This is because they have the
same
and different
If their y-intercepts were also the
same, then the lines would
and intersect everywhere. Lines that intersect
to form right angles are called
. When we constructed perpendicular lines,
we
the points of a line 90 degrees. This is how the
angles were created. Algebraically, we say that the slopes are
reciprocals meaning that their slopes have opposite
and flipped
You can check by multiplying them. The
of negative
reciprocals is -1.
Word Bank:
negative
slope
perpendicular
rotated
product
overlap
right
parallel
signs
y-intercept
fractions
Answer:
and the question is? I'm confused
nadia made a model of the garage each edge of the real garbage is 4 times the length of the edge of the model which statement about volumes is true?
question in picture,
find all angles that satisfy the equation below.
can someone please help with this and kinda explain this to me again please
Answer:
3rd Option;
x = 4
y = 116
Step-by-step explanation:
Let's start by solving for "x" first:
=> We know that in a parallelogram, opposite sides are parallel as well as congruent, therefore we can say:
Side 1 = It's opposite side
=> 16 = 3x + 4
=> 16 - 4 = 3x
=> 12 = 3x
=> 12/3 = x
=> 4 = x
Now that we know x, let's find the y-value;
=> We know that opposite angles in a parallelogram are congruent, therefore we can say;
Angle 1 = It's opposite angle
=> 56 = y - 60
=> 56 + 60 = y
=> 116 = y
Hope this helps!