Answer:
$61.44
Step-by-step explanation:
Both the tip and the tax are based on the original amount ($48).
To find the amounts, first change the percents to decimals.
8% = 0.08
20% = 0.20
Then, multiply the decimals by the original amount.
48 × 0.08 = 3.84
48 × 0.20 = 9.60
Next, add up the original amount, the tax, and the tip to find the total money spent by Lucy.
$48 + $3.84 + $9.60 = $61.44
The total amount spent is $61.44.
Lucy pay total amount of $61.44, including tax and the tip.
What is the fundamental principle of multiplication?Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.
Both the tip and the tax are based on the original amount ($48).
To determine the amounts, first change the percents to decimals.
8% = 0.08
20% = 0.20
Now multiply the decimals by the original amount.
48 × 0.08 = 3.84
48 × 0.20 = 9.60
Next, add up the original amount, the tax, and the tip;
$48 + $3.84 + $9.60 = $61.44
The total amount spent will be $61.44.
Learn more about multiplications;
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Can a triangle have sides of lengths 9,17,15? Show why or why not.
Answer:
A triangle has 3 sides: a, b, c satisfying inequalities below:
=> a + b > c > |a - b|
=> b + c > a > |b - c|
=> c + a > b > |c - a|
9, 15, 17 satisfy the inequalities above (you can check it easily).
Hope this helps!
:)
Of 25 test scores, 8 are less than or equal to 75. What is the percentile rank of a test score of 75?
a. 8
b. 17
c. 32
d. 68
How do u get this?? I know the answer but then I don't know why they shuld divide by 2 I will mark the person who explains wit proper explanation and gives the crct answer as brainliest....
Thank you so much
Answer:
10.89
Step-by-step explanation:
Circle:
C = TTD
C = TT(6.6)
C = 20.73451151
C = 20.73
Triangle:
A = bh/2
A = 6.6(3.3)/2 6.6/2=3.3
A = 21.78/2
A = 10.89
Shaded Region = 10.89
Simplify and determine the coefficient of (-2/5x)(5y)(-2x).
-4
1/5
1
4
Answer:
D.) 4
Step-by-step explanation:
the equation simplified is 4y and the coefficient of that is 4
Answer:
the answer is 4
Step-by-step explanation:
Put the following equation in slope-intercept form: 3x+y=10
Answer
[tex]y=-3x+10[/tex]
This is the slope-intercept form.
Step-by-step explanation:
In an experiment, the probability that event A occurs is 5/8 , the probability that event B occurs is 2/9 , and the probability that events A and B both occur is 1/5 . What is the probability that A occurs given that B occurs?
Step-by-step explanation:
p(A|B) = p(A and B) / p(B) =(1/5) / (2/9) = 0.9
The probability that event A occurs is 5/8 , the probability that event B occurs is 2/9 , and the probability that events A and B both occur is 1/5 . The probability that A occurs given that B occurs is 0.9.
What is the probability?Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.
P(E) = Number of favorable outcomes / total number of outcomes
The probability that event A occurs is 5/8
The probability that event B occurs is 2/9
The probability that events A and B both occur is 1/5.
So, The probability that A occurs given that B occurs
P(A|B) = P(A and B) / P(B)
= (1/5) / (2/9)
= 0.9
Learn more about probability here;
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Solve for x in the equation 2 x squared + 3 x minus 7 = x squared + 5 x + 39.
Answer:
its D
Step-by-step explanation:
on edge
"Heavy Water" is a name given to a compound used in some nuclear reactors. Heavy water costs about $1,500 per gallon. If a nuclear plant spent $10,500 on heavy water, how many gallons of water were bought?
Answer:
7 gallons of water were bought
Step-by-step explanation:
This question can be solved using a rule of three.
One gallon costs $1,500. How many gallons cost $10,500?
1 gallon - $1,500
x gallons - $10,500
[tex]1500x = 10500[/tex]
[tex]x = \frac{10500}{1500}[/tex]
[tex]x = 7[/tex]
7 gallons of water were bought
The price of a washing machine was decreased by 20% to £640.
What was the price before the decrease?
Answer:
£800
Step-by-step explanation:
For this question we need to utilise decimal multiplier. Since this is a decrease question to work out the decimal multiplier you have take 100 away from the percentage and then divide by 100. If this was an increase question then we would had to add 100 to the percentage and then divide by 100. Since the question is asking for the price before the decrease we are going to have to divide the multiplier by the price so,
⇒ Work out the multiplier by taking 100 away from the percentage and then dividing by 100
→ 100 - 20 = 80 ↔ 80 ÷ 100 = 0.8
⇒ The multiplier is 0.8, now we have to divide the multiplier by the price
→ 640 ÷ 0.8 = 800
The price of a washing machine was decreased by 20% to £640. The price before the decrease was £800
Find the meeting point of these two rights: y = 5x - 6 and y = -4x + 3
The meeting point is (1, - 1).
Look at the attachment to see.
Happy to help!
The angle measurement in the diagram are represented by the following expressions
Answer:
As shown in picture:
angle A = angle B
or
8x + 6 = 4x + 38
=> 4x = 32
=> x = 8
=> B = 4*x + 38 = 4*8 + 38 = 32 + 38 = 70 deg
Answer:
[tex]B = 70 \: \: degrees[/tex]
Step-by-step explanation:
[tex]8x + 6 = 4x + 38 \\8 x - 4x = 38 - 6 \\ 4x = 32 \\ \frac{4x}{4} = \frac{32}{4} \\ x = 8[/tex]
B = 4x+38[tex]4x + 38 \\ 4 \times 8 + 38 \\ 32 + 38 \\ = 70 \: \: degrees[/tex]
Find the value of a°
Answer:
If two vectors are parallel, applying the same side interior angles theorem:
=> 80 + a + 59 = 180
=> a = 180 - 80 - 59 = 41 deg
Hope this helps!
:)
I need help with this question!!
Answer:
B, C ,E
Step-by-step explanation:
B <2 = <6 they are alternate interior angles
C <1 + <6 = 180 <1 + 75 = 180 and 75 and <6 are equal because they are corresponding angle so <1 + <6 = 180
E x = 120
<1 + <6 = 180
<1 + 75 = 180
<1 = 105
<1 =x-15
105 = x-15
Add 15
120 =x
Scientists were interested in testing a new technique to prevent slipping on ice: wearing socks over boots!
500
500500 volunteers were randomly assigned to two groups. Both groups were asked to walk downhill on an icy road. One group simply wore boots, while the other group wore socks over their boots. All boots and socks were supplied by the scientists.
Once downhill, the participants were asked to indicate the number of times they slipped. Then, the scientists compared the average "slipperiness" score of each group.
What type of statistical study did the scientists use?
Answer:
The scientist used the experimental statistical study.
Step-by-step explanation:
Statistical study is the process of collecting, analyzing and presentation of data to achieve an accurate conclusion. The major types are: survey, and experimental.
Survey statistical study can easily be achieved by the use of questionnaires to sample the opinion of participants. While experimental statistical study involve the participants observing a process or some procedures before conclusions can be made.
In the given question, the scientist performed an experiment by asking participant to undergo a process before making his conclusion. Thus, he used an experimental statistical study.
which two triangles are congruent
Answer:
A & C
Step-by-step explanation:
When two triangles are congruent they will have exactly the same three sides and exactly the same three angles
Answer:
Triangles A and C are congruent.
Step-by-step explanation:
Congruent triangles are when two triangles are congruent they will have exactly the same three sides and exactly the same three angles. The total of the angles of all triangles is 180, so then add all the angles then subtract that number from 180.
A: 110+30=140 (180-140=40)
B: 30+45=75 (180-75=105)
C: 110+40=150 (180-150-30)
Since Triangles A and C have the same angles, then they are congruent!!!
The cereal box shown below is a rectangular prism. Find the surface area of the cereal box.
Answer:b
Step-by-step explanation:gbtggrtbttt
Answer: The answer is 580
Step-by-step explanation: you first do the front side which is 20 x 10 which is 200. You multiply 200 by 2 since the front and back are the same.
then you move on to the sides.
the bottom of the side is 3. The height is 20. 3 x 20 is 60. Since there are 2 sides, you will do 60 x 2 which is 120.
now we move on too the top. The width of width is 3. and the length is 10. 10 x 3 is 30. Since the bottom is also the same, you do 30 x 2. You add all the numbers.
So 400 (from the front and back) + 120 (from the sides) + 60 ( from the top and bottom)
thiss all equals 580. sorry if it is a bit confusing I just understood it too. I am 14 trying to get math a year above me.
Amy paid $68.68 for a pair of running shoes during a 35 %-off sale. What was the regular price?
Answer:
original price = 105.66
Step-by-step explanation:
35% off means she pays 100-35 = 65%
original price * 65% = 68.68
Change to decimal form
original price *.65 = 68.68
Divide each side by .65
original price *.65/.65 = 68.68/ .65
original price = 105.66
Find the mean, median, mode, and range for the following values.
Option 1
Weekly earnings in dollars: 245, 250, 205, 240, 250, 275, 260, 295, 255, 225, 250
Option 1
Answer:
Mean - 250, Median - 250, Mode - 250, range - 90
Step-by-step explanation:
Answer:
mean: 250
mode: 250
median:250
range:90
Step-by-step explanation:
mean add everything and then divide
mode there are 3 250s making it the mode
median that is the middle
range 295-205=90
What is -6:
-The coefficient
-The variable
-The constant
An animal shelter houses dogs, cats, and rabbits. There are 126 animals at the shelter. Of the animals, 13 are cats. Three fourths of the remaining animals are dogs. How many of the animals are rabbits? Show your work.
Answer:
28 rabbits
Step-by-step explanation:
From the statement, you can write the following:
d+c+r= 126
d=dogs
c= cats
r= rabits
Then, you have that there are 13 cats and that three fourths of the remaining animals are dogs:
c=13
d=(126-13)*(3/4)= 113*(3/4)= 85
Now, you can isolate r, to find the number of rabbits:
r=126-d-c
r= 126-85-13
r= 28
According to this, the are 28 rabbits.
Answer:
pppoooooiiinnttssss
Step-by-step explanation:
can some one help me plz with step by step
x^2 - 12x + 35
Answer:
(x + 3)(5x + 2)
Step-by-step explanation:
[tex] {x}^{2} - 12x + 35 \\ {x}^{2} - 7x - 5x + 35 \\ = x(x - 7) - 5(x - 7) \\ = (x - 7)(x - 5)[/tex]
appreciate anyone help :)
Answer:
a) t=5
5+5+5=15
b) x=11
11-8=3
or you can add 3 to both sides and x=11
c) w=3
7(3) = 21
21+3=24
or subtract 3 from both sides to get 7w=21
then divide by 7 on both sides to get w=3
Answer:
a) t = 5
b) x= 5
c) w= 3
Simplify a polynomial: (3x–4y)²–(3x–4y)(3x+4y)
Step-by-step explanation:
(3x-4y)×(3x-4y-(3x+4y))
(3x-4y)×(3x-4y-3x-4y)
(3x-4y)×(-8y)
-8y×(3x-4y
Answer: 32y^2 -24xy
Step-by-step explanation:
A skydiver descends at 20 1 3 kilometers per hour after deploying their parachute. Which of the following expressions represents the change in the skydiver's altitude if they descend for 4 7 of an hour?
1250mph you'd tear through the crust of the earth and create a supervolcano to end all of us.
Step-by-step explanation:
Never fall that fast when parachuting, only you can prevent supervolcanoes.
Which expression is equivalent to (2x to 4 y) 3 exponent?
Answer:
The answer is D hope that’s helps !
Step-by-step explanation:
8X^12Y^3
Find the domain and range of the function graphed below.
Answer:
[-1,3) domain i think the video i am watching kinda confusing tell me if i am right
[3,-5) range like i said tell me i got it wrong
Step-by-step explanation:
The domain and the range of a graph is the possible x and y values, the graph can take.
The domain of the function is: [tex]-1 \le x < 3[/tex] .The range of the function is: [tex]3 \ge y > -5[/tex]First, we determine the domain.
On the x-axis, the curve starts from x = -1 with a closed circle, and it ends at x = 3, with an open circle
A closed circle is represented by [tex]\ge[/tex] or [tex]\le[/tex], while an open circle is represented > or <
So, the domain of the graph is: [tex]-1 \le x < 3[/tex]
Next, we determine the range.
On the y-axis, the curve starts from y = 3 with a closed circle, and it ends at y = -5, with an open circle
Using the explanation of open and closed circle above,
The range of the function is: [tex]3 \ge y > -5[/tex]
Hence, the domain and the range of the graph are: [tex]-1 \le x < 3[/tex] and [tex]3 \ge y > -5[/tex], respectively.
Read more about domain and range at:
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The trail is a loop that is 3/4 of a mile long. On Monday, Selma land the loop in 1/6 of an hour. What is selmas unit rate in mile per hour?
Answer:
1/10
Step-by-step explanation:
3/4 add 1/6
The parallelogram shown below has an area of 140140140 units^2 2 squared. Find the missing base. b =b=b, equals units
Answer:
Length of the base of the given parallelogram is 14 units
Step-by-step explanation:
This question is incomplete; Find the complete question in the attachment.
Area of the parallelogram (A) = 140 square units
Height of the parallelogram (h) = 10 units
Since area of the parallelogram = Base × height
A = b × h
140 = b × 10
b = [tex]\frac{140}{10}[/tex]
b = 14 units
Therefore, length of the base of the given parallelogram is 14 units.
Answer:
14 units is the answer I got it right on khan academy.
What is the Cosine of 150 degrees?
Answer:
-0.86602540378
Step-by-step explanation:
I used the cosine calculator.
In radians it is:
[tex]\frac{5\pi }{6}[/tex]
according to the unit circle it is:
[tex]-\frac{\sqrt{3} }{2}[/tex]
The answer in decimal form is:
0.69925080647
Please help solve ASAP! In the diagram below, what is the approximate length of the minor arc AB?
Answer:
42
Step-by-step explanation:
Answer: It would be 42 Centimeters! :D