his bill $175 he has a coupon for 10% off and plans to give the delivery driver 20% tip
Total bill amount = $ 189
Step-by-step explanation:
Given:
The bill amount = $ 175
Coupon = 10%
Coupon amount = [tex]\frac{10 \times 175}{100}[/tex]
[tex]=\$ 17.5[/tex]
Bill Amount after applying the coupon = [tex]=\$ 175-\$ 17.5=\$ 157.5[/tex]
Tip = [tex]20 \% \text { of } 157.5[/tex]
= [tex]\frac{20 \times 157.5}{100}=\$ 31.5[/tex]
So the tip amount = $ 31.5
Total bill amount after the coupon and tip = [tex]\$ 31.5+\$ 157.5=\$ 189[/tex]
So the total bill amount is $ 189.
Using the sum and difference formula to determine the exact value of cos165
Answer:
-0.9659258 is the exact value
[URGENT]
Order of operations is defined as _____. a system for completing operations by doing them from left to right in the order that they are in a system for simplifying expressions that ensures that there is only one right answer a system for organizing the completion of operations based on the acronym PAMDES a system for helping to identify the best right answer out of many for a problem
Answer:
a system for simplifying expressions that ensures that there is only one right answer
Step-by-step explanation:
Order of operations is used to simplify as much as possible to solve the equation easily.
Of all choices the second choice is the most accurate definition.
Answer:
a system for simplyfying expressions that ensures that there is only one right answer
Step-by-step explanation:
What is the absolute value I need help please help me complete this problem
Meat costs $8.00 per pound at the store. What is the slope and y-intercept?
Jack's age is three years more than twice the age of his younger brother, Jimmy. If the sum of their ages is at most 18,find the greatest age Jimmy could be.
3 887 860 round it to the nearest million
4,000,000
because the hundred thousand place value is the digit 5 or higher, the millions rounds up!! in this case, the 3 in the millions rounds up to 4 and the rest of the digits on the right turn to 0, also remember commas!!!!!
3 887 860 rounded to the nearest million is 4 000 000.
From the given number 3 887 860, stating the place value of each digit
We have 0 ones (or unit), 6 tens, 8 hundreds, 7 thousands, 8 ten thousands, 8 hundred thousands and 3 million.
Hence, the number we are rounding is 3 (since we are asked to round to the nearest million)
To round a number, we either round up or round down.
If the number you are rounding is followed by 0, 1, 2, 3, or 4, round the number down; and if the number you are rounding is followed by 5, 6, 7, 8, or 9, round the number up.
Since, the number that follows the digit we are rounding is 8, then we round up. We round up by adding 1 to the digit we are rounding and turn the remaining numbers to zeros.
(3+1 = 4)
Hence, 3 887 860 rounded to the nearest million is 4 000 000.
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Is 10 an irrational number
Answer:
yes, it is
hope its helpful ! :)
Could you guys please help
Answer:
t = 2.76
PLEASE VOTE BRAINLIEST
Step-by-step explanation:
5. A polygon has a perimeter of 18 units. It is dilated with a scale factor of What is the
perimeter of its image?
a.
12 units
b.
24 units
C.
27 units
d.
30 units
The question appeared to ask about the impact of dilation on a polygon's perimeter, but the scale factor was not provided. Generally, the perimeter of a dilated polygon is the original perimeter multiplied by the scale factor. Another part of the student's question involved calculating the actual diameter of a swimming pool from a scale drawing using a provided scale factor.
Explanation:The student appears to have asked a question about a dilation of a polygon and its effect on the perimeter, as well as having other queries related to scale factors and how they apply to various geometric figures and real-life objects. Unfortunately, the specific scale factor for the dilation in question 5 is not provided. However, generally speaking, when a figure is dilated by a scale factor, the length of all sides is multiplied by that factor. Given that the perimeter is the sum of all side lengths, the perimeter of the dilated polygon would also be multiplied by the same scale factor. So if a polygon has a perimeter of 18 units and it is dilated by a scale factor, to find the perimeter of the dilated image we multiply the original perimeter by the scale factor. It's important to note that without knowing the exact scale factor, we cannot determine what the new perimeter would be.
For question 12, to find the actual diameter of the pool, we need to use the scale factor provided, which is 1/72. If the scale drawing shows a diameter of 1(1/2) inches, we can calculate the actual diameter using the following:
Convert 1(1/2) inches to feet by multiplying by the scale factor. Since 1 inch equals 1/72 feet in the scale, 1(1/2) inches equals 1(1/2) * 1/72 feet.Then, to find the actual diameter, we multiply 1(1/2) by 72.The rest of the calculations follow a similar method, using the respective scale factors and measurements to determine the actual sizes or scale sizes of objects.
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The correct option is d. [tex]30\ units[/tex]. This means that the original polygon was dilated with a scale factor of to obtain the image with a perimeter of [tex]30\ units.[/tex]
To find the perimeter of the image of a polygon after dilation with a scale factor, we need to understand how dilation affects the dimensions.
1. Perimeter of the original polygon:
Let's denote the original perimeter of the polygon as [tex]\( P \)[/tex]. According to the problem, the original perimeter is [tex]18 \ units[/tex]
[tex]\( P = 18 \) \ units[/tex]
2. Dilation with a scale factor:
Dilation with a scale factor [tex]\( k \)[/tex] multiplies all dimensions (lengths of sides) of the polygon by [tex]\( k \).[/tex]
3. Perimeter after dilation:
After dilation with a scale factor [tex]\( k \)[/tex], the perimeter [tex]\( P' \)[/tex] of the polygon's image is given by:
[tex]\( P' = k \times P \)[/tex]
Here, [tex]\( k \)[/tex] is the scale factor.
4. Calculating the perimeter of the image:
The problem states that the polygon is dilated with a scale factor of [tex]\( \sqrt{3} \)[/tex]. So, [tex]\( k = \sqrt{3} \).[/tex]
Now, calculate [tex]\( P' \)[/tex]
[tex]\( P' = \sqrt{3} \times 18 \)[/tex]
[tex]\( P' = 18 \times \sqrt{3} \)[/tex]
[tex]\( P' = 18 \times 1.732 \)[/tex]
[tex]\( P' = 31.176 \)[/tex]
None of the given options match the exact calculated perimeter [tex]\( P' = 31 \) units[/tex]. However, based on the options provided, the closest answer to our calculated value is [tex]30\ units[/tex] (option d).
Use the diagram below to answer the question.
Answer:
B
Step-by-step explanation:
Angles at each vertex of a rectangle is right angle
A pizza shop sold slices of cheese, pepperoni, and sausage pizza during lunch.
• They sold 117 slices of pepperoni.
• They sold 34 more slices of pepperoni than cheese.
• They sold 28 more slices of sausage than cheese.
Problem:
How many slices of sausage pizza were sold during lunch?
A
55
B
123
C
139
D
111
End
Session
In below diagram, line AB is parallel to CB.
i.e. AB∥CD
∠EGB = 57°
Find ∠EHD.
In the given diagram, line AB is parallel to CB. i.e. AB∥CD ∠EGB = 57°
then the value of ∠EHD = 57°
In this diagram, since AB is parallel to CD, we can infer that ∠EGB and ∠EHD are corresponding angles, and corresponding angles are congruent when a pair of parallel lines are intersected by a transversal. Given that ∠EGB = 57°, we conclude that ∠EHD is also 57° based on the properties of corresponding angles. Thus, ∠EHD = 57°.
When two parallel lines are intersected by a transversal, the corresponding angles formed on either side of the transversal are congruent. In this case, we are given that line AB is parallel to line CD, which implies that ∠EGB and ∠EHD are corresponding angles.
Given: ∠EGB = 57° (Given in the diagram)
Since AB || CD, ∠EGB ≅ ∠EHD (corresponding angles are congruent).
Therefore, ∠EHD = ∠EGB = 57°.
Hence, ∠EHD is also 57° based on the properties of corresponding angles.
In mathematical terms, we use the property of corresponding angles formed by a transversal intersecting two parallel lines to establish the congruence between ∠EGB and ∠EHD. This property is a fundamental aspect of geometry dealing with angles and parallel lines.
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Solve this: (2m+1)^2
Answer:4m^2+4m+1
Step-by-step explanation:
(2m+1)^2=(2m+1)(2m+1)
Opening brackets we have:
4m^2+2m+2m+1
Add like terms
4m^2+4m+1
Answer:
The solution is
4m² + 4m + 1
Step-by-step explanation:
Solve this: (2m+1)²
If X² = X*X
Therefore, (2m+1)² = (2m+1) x (2m+1)
Opening the bracket (2m+1) x (2m+1)
=2m*2m + 2m*1 + 1*2m + 1*1
= 4m² + 2m + 2m + 1
Collect the like terms
= 4m² + 4m + 1
From this point, the equation can't be solved further.
what set of numbers are shaded on the hundred chart.
A: only all the factors of 45
B: only the multiples of 45
C: only all the factors of 90
D: only all the multiples of 90
A: the factors of 45 are the only one shaded on the hundreds chart
The shaded numbers, all are factors of 45. Therefore, option A is the correct answer.
We need to check what set of numbers is shaded on the hundred charts.
What are the factors?In math, a factor is a number that divides another number completely with no remainder. Factors and multiples are a part of our daily life. For example, they are used in arranging items in a box, handling money, finding patterns in numbers, solving ratios, and working with expanding or reducing fractions.
The factor of a number is always less than or equal to the given number.
From the given chart the shaded numbers are 1, 3, 5, 9, 15 and 45.
The shaded numbers, all are factors of 45. Therefore, option A is the correct answer.
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QUESTION 9
Write the expression by using exponents.
2.2.2.2.2.2
moginio
QUESTION 10.
Answer:
2^6
Step-by-step explanation:
2*2*2*2*2*2
There are six 2's multiplied together so the base is 2 and the exponent is 6
2^6
A ball is tossed between three friends. The first toss is 8.6 feet, the second is 5.8 feet, and the third toss is 7.5 feet, which takes the ball back to the starting point. What angles are formed by these tosses. Step by Step explanation.. Please
angles formed by these tosses are [tex]79.45, 59.02[/tex] and [tex]41.53[/tex] degrees to the nearest hundredth.
Step-by-step explanation:
Here , We have a triangle with sides of length 8.6 feet, 5.8 feet and 7.5 feet.
The Law of Cosines (also called the Cosine Rule) says:
[tex]c^2 = a^2 + b^2 - 2ab (cosx)[/tex]
Using the Cosine Rule to find the measure of the angle opposite the side of length 8.6 feet:
⇒ [tex]c^2 = a^2 + b^2 - 2ab (cosx)[/tex]
⇒ [tex]c^2 -a^2 - b^2 = -2ab (cosx)[/tex]
⇒ [tex](cosx) =\frac{ c^2 -a^2 - b^2}{ -2ab}[/tex]
⇒ [tex](cosx) =\frac{(8.6^2 - 5.8^2 - 7.5^2)}{ ( -2(5.8)7.5)}[/tex]
⇒ [tex](cosx) =0.18310[/tex]
⇒ [tex]cos^{-1}(cosx) = cos^{-1}(0.18310)[/tex]
⇒ [tex]x = 79.45[/tex]
The Law of Sines (or Sine Rule) is very useful for solving triangles:
[tex]\frac{a}{sin A} = \frac{ b}{sin B} = \frac{c}{sin C}[/tex]
We can now find another angle using the sine rule:
⇒[tex]\frac{ 8.6 }{ sin 79.45} = \frac{7.5}{ sin Y}[/tex]
⇒[tex]sin Y = \frac{(7.5 (sin 79.45))}{ 8.6}[/tex]
⇒[tex]Y = 59.02 degrees[/tex]
So, the third angle =[tex]180 - 79.45 - 59.02 = 41.53 degrees.[/tex]
Therefore, angles formed by these tosses are [tex]79.45, 59.02[/tex] and [tex]41.53[/tex] degrees to the nearest hundredth.
Order from least to greatest 3/6,3/4,2/8
Answer: 2/8; 3/6 and 3/5
Step-by-step explanation:
3/6 = 1/2 = 0.5
3/4= 0.75
2/8= 1/4 = 0.25
To arrange in the order of least to greatest= 2/8; 3/6 and 3/5
How u doing? Good? Nice.
Answer:
yes
Step-by-step explanation:
Please mark brainliest, everybody keeps bullying me because i get the answers faster, then they delete my explanation to do theirs :(
What is the Pythagorean Thereom
Answer:
Step-by-step explanation:
The Pythagorean theorem states that for a right triangle, the sum of the square for each of the sides is equal to the square of the hypotenuse.
See attached for graphic and formula
Mar 12: 3
Mar 13: 8
Mar 14: 11
Mar 15: 16
Mar 16: 25
Mar 17: 50
Whats the pattern? Is the pattern linear, quadratic, or exponential? Can you predict the number of cases for march 18, 19 and 20? What about March 25th?
Answer:
Mar 18: 125Mar 19: 318Mar 20: 743Mar 25: 15,070Step-by-step explanation:
The six seemingly arbitrary points have no common difference or ratio, so cannot be modeled by a linear or exponential function.
The differences of the differences are not constant at any level, so the only polynomial model is 5th-degree. It is ...
(6n^5 -95n^4 +600n^3 -1825n^2 +2814n -1320)/60
where n = days after Mar 11. (Mar 12 corresponds to n=1.) The domain is n ≥ 1.
____
The 5th-degree polynomial increases very fast, but not as fast as an exponential function would.
The values for Mar 12 through Mar 25 are ...
3, 8, 11, 16, 25, 50, 125, 318, 743, 1572, 3047, 5492, 9325, 15070
Answer: Mar 18: 125
Mar 19: 318
Mar 20: 743
Mar 25: 15,070
Step-by-step explanation:
The six seemingly arbitrary points have no common difference or ratio, so cannot be modeled by a linear or exponential function.
The differences of the differences are not constant at any level, so the only polynomial model is 5th-degree. It is ...
(6n^5 -95n^4 +600n^3 -1825n^2 +2814n -1320)/60
where n = days after Mar 11. (Mar 12 corresponds to n=1.) The domain is n ≥ 1.
____
The 5th-degree polynomial increases very fast, but not as fast as an exponential function would.
The values for Mar 12 through Mar 25 are ...
3, 8, 11, 16, 25, 50, 125, 318, 743, 1572, 3047, 5492, 9325, 15070
Step-by-step explanation:
.
Write a proportion for: a train can travel 126 miles in 3 hours. How many miles can the train travel in 5 hours?
Answer:
210
Step-by-step explanation:
126 / 3 = 42
42 x 5 = 210
therefore the train can traval 210 miles in 5 hours.
hope this helps
~angilina
What percent of 55 is 11
Answer:
Step-by-step explanation:
Answer
20%
Explanation
Great a word problem for x+2=3x-8
i just don’t understand. help
Answer:
I'm so sorry you don't know this. Here!
Step-by-step explanation:
You divide 1,060 with 30%
1,060 - 30% (30) = 742!
Val scored 742 points!
The room numbers of two adjacent classrooms are two consecutive odd numbers. If their sum is 708, find the classroom numbers.
Answer: classroom numbers are 353 and 355
Step-by-step explanation:
Let x represent the first no
Then x+2 represents the second number
Turn the question to an equation= x - (x +2) =708
Therefore, 2x + 2= 708
2x= 708-2
2x= 706
x= 353 and x+2= 355
Hope you understand, please mark brainliest.
Answer:
The first number is 353, and the second is 353 + 2, or 355.
Step-by-step explanation:
Represent the first number by n and the next by n + 2.
Then n + (n + 2) = 2n + 2 = sum of the two numbers = 708.
Subtracting 2 from both sides yields 2n = 706. Dividing both sides of this latest result by 2 yields n = 353.
The first number is 353, and the second is 353 + 2, or 355.
Check: do 353 and 355 sum up to 708? YES
a triangle has sides that measure 6m,8m,12m. is it a right triangle?
Answer:
no
because it should be 99
Solve for X
1. - 6x + 14 < =28 OR
9x + 15 <-12
Solution:
1)
[tex]-6x + 14\leq 28[/tex]
Solve the inequality for "x"
From given,
[tex]-6x + 14\leq 28[/tex]
[tex]\mathrm{Subtract\:}14\mathrm{\:from\:both\:sides}\\\\-6x+14-14\le \:28-14\\\\Simplify\\\\-6x\le \:14\\\\\mathrm{Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)}[/tex]
When, we multiply or divide both sides of inequality by negative number, then we must flip the inequality sign
[tex]\left(-6x\right)\left(-1\right)\ge \:14\left(-1\right)\\\\\mathrm{Simplify}\\\\6x\ge \:-14\\\\\mathrm{Divide\:both\:sides\:by\:}6\\\\\frac{6x}{6}\ge \frac{-14}{6}\\\\x \geq -2.333[/tex]
The solution set is given as:
[tex]-6x+14\le \:28\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x\ge \:-\frac{7}{3}\:\\ \:\mathrm{Decimal:}&\:x\ge \:-2.33333\dots \\ \:\mathrm{Interval\:Notation:}&\:[-\frac{7}{3},\:\infty \:)\end{bmatrix}[/tex]
---------------------------------------------------------------------------------------------------
2)
[tex]9x + 15< - 12[/tex]
Solve the inequality for "x"
From given,
[tex]9x+15<-12\\\\\mathrm{Subtract\:}15\mathrm{\:from\:both\:sides}\\\\9x+15-15<-12-15\\\\\mathrm{Simplify}\\\\9x<-27\\\\\mathrm{Divide\:both\:sides\:by\:}9\\\\\frac{9x}{9}<\frac{-27}{9}\\\\\mathrm{Simplify}\\\\x < -3[/tex]
The solution set is given as:
[tex]9x+15<-12\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x<-3\:\\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:-3\right)\end{bmatrix}[/tex]
The ratio of the number of white shapes to the number of black shapes is 5:11
The ratio of the number of white circles to the number of white squares is 3:7
The ratio of the number of black circles to the number of black squares is 3:8
Work out what fraction of all the shapes are circles.
Answer:
the fractions of all the shapes are circles can be obtained would be computed as:
[tex]\frac{450}{1600}=\frac{9}{32}[/tex]
Step-by-step explanation:
The fraction of the number of white shapes to the number of black shapes is 5/11.
Let us consider that there are:
500 white shapes1100 black shapesAs the fraction of the number of white circles to the number of white squares is 3:7
It means out of 10 total parts, 3/10 are white circles and 7/10 are white squares.
Calculating Number of white circles:
[tex]\frac{3}{{10}} \times 500=150[/tex]
Calculating Number of white squares:
[tex]\frac{7}{{10}} \times 500=350[/tex]
As the fraction of the number of black circles to the number of black squares is 3:8.
Calculating Number of black circles:
[tex]\frac{3}{{11}} \times 1100=300[/tex]
Calculating Number of black squares:
[tex]\frac{8}{{11}} \times 1100=800[/tex]
As
the total number of circles is 150 + 300 = 450, and the total number of shapes is 500 + 1100 = 1600Therefore, the fractions of all the shapes are circles can be obtained would be computed as:
[tex]\frac{450}{1600}=\frac{9}{32}[/tex]
In ΔXYZ, the measure of ∠Z=90°, YX = 97, XZ = 65, and ZY = 72. What ratio represents the tangent of ∠Y?
Final answer:
The tangent of ∠Y in ΔXYZ is the ratio of the length of side XZ to the length of side ZY, which is 65/72.
Explanation:
In ΔXYZ, we are given that ∠Z = 90°, YX = 97, XZ = 65, and ZY = 72. To find the tangent of ∠Y, we use the definition of the tangent function in a right triangle, which is the ratio of the length of the opposite side to the length of the adjacent side for the given angle.
Since ∠Z is the right angle and we are interested in a tangent of ∠Y, the opposite side to ∠Y is XZ (which measures 65), and the adjacent side to ∠Y is ZY (which measures 72).
Therefore, the tangent of ∠Y is given by the ratio:
tan(∠Y) = opposite/adjacent = XZ/ZY = 65/72.