Cost of 3 bus tickets is $ 192 and cost of 4 train tickets is $ 328.
Explain the use of multiplication?
The process of finding the sum of two or more numbers is known as multiplication. The fundamental concept of repeatedly adding the same number is represented by the process of multiplication. We can rapidly determine the total number of things by multiplying.
When multiplying, we'll consider the number of groups with similar sizes and the number of items in each group.
It is given ,
Cost of each bus ticket = $ 64
Cost of each train ticket = $ 82
Number of bus ticket = 3
Number of train ticket = 4
Total cost of bus ticket = 3 × 64 = $ 192
Total cost of train ticket = 4 × 82 = $ 328
Hence , cost of 3 bus tickets is $ 192 and cost of 4 train tickets is $ 328.
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A swimming pool is being filled. If the depth of the water increases at the rate of 13.5 inches of water per hour. After 6 hours how many feet of water have been added to the pool?
Given data:
The depth of water increases per hour is d= 13.5 in/hour.
The given time is t= 6 hours.
The amount of water added is,
[tex]\begin{gathered} W=d\times t \\ =(13.5)(6)\text{ }in \\ =81\text{ in} \\ =81\text{ in(}\frac{1\text{ ft}}{12\text{ in}}) \\ =6.75\text{ ft} \end{gathered}[/tex]Thus, 6.75 feet of water added in 6 hours.
Practice 5
In Richmond, Virginia, the average daily high temperature was 90°F for July. The average daily low temperature for the same month was 69°F. If a day's temperature change is measured by comparing the morning/low temperature to the afternoon/high temperature, what is the percent of increase between the average low and high temperatures in July? Round your answer to the tenths place. Do not include the % symbol in your answer.
26°F in July would be the percent of increase between the average low and high temperatures.
What is the temperature range?The difference between how hot and how cold two locations are is known as the temperature range.So, the month's typical daily maximum temperature is 90°F.
The month's typical low temperature is 69°F.The difference in temperature between the two ranges is 21°F or 90-69°F.When comparing the two temperatures, the result is:
79.5°F = 90+69/2 = 159/2The daily low-temperature increase as a percentage:
= 21/79.5 × 100/1= 2100/79.5= 26.4= 26°F ( nearest to the tenth place)Therefore, 26°F in July would be the percent of increase between the average low and high temperatures.
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Bonjour est-ce que vous pouvez m’aider s’il vous plaît voici l’exercice
C’est l’exercice 19
Answer:
a = ⁵⁄₃ = 1⅔
b = ¼
c = ⁵⁄₇
d = ¹³⁄₁₂ = 1¹⁄₁₂
e = -⁷⁄₃₀
f = ³⁷⁄₁₄ = 2⁹⁄₁₄
Help me with my algebra. Please and thank you.
Answer:
A
Step-by-step explanation:
The system of equations listed in answer A fits both of the criteria.
as x represents the number of 55-inch televisions and y fits the criteria of the number of 65-inch television, we can use the knowledge we have from the question that we can combine these two variables to get a total number of tv's.
As said in the question: "The first week they sold 44 TVs total" meaning that the combined total amount of TV's sold was 44, meaning x + y (which are just variables, not "known" amounts equates to 44.
x + y = 44
The second equation in the system represents the profits. Using the same knowledge from before, we don't know how many how many tv's of each were sold but we can use these variables to present that each 55-inch tv is worth $349 and each 65-inch tv is worth $469.
349x+469y = 17,516 represents this perfectly, thus making A our answer
18 pizzas were ordered for a holiday party at Reedy Creek Elementary
ANSWER
C. 12
EXPLANATION
1/3 of the pizzas is:
[tex]18\times\frac{1}{3}=\frac{18}{3}=6[/tex]Therefore, 6 pizzas were cheese and the rest were pepperoni:
[tex]18-6=12[/tex]There were 12 pepperoni pizzas.
Which linear equality will not have a shared solutionset with the graphed linear inequality?Oy> ²x + 2Oy<-5x-72Oy>-x-5Oy < 5 x + 2
The linear inequality y</5/2 x - 7 does not have any common solution set with the given inequality.
The solution sets of the linear inequality are drawn in the graph attached below,
From the graph it is seen that the yellow part represents the inequality y≥-5/2 x - 3
And the green section of the graph represents the other inequality
y<-5/2 x - 7
As we can see in the graph that the two areas are separate. So there are no common points.
Again if we consider the two inequalities as two lines y= -5/2 x - 3
and y = -5/2 x - 7 . we can see that they both have the same slopes of -5/2 so they are parallel lines. so they will never intersect.
Therefore we can conclude that the inequality y</5/2 x - 7 does not have any common solution set with the given inequality.
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Joseph runs 2/3 of a mile in 8 minutes. If Joseph runs at that speed, how long will it take him to run four miles? pls include explanation
Joseph runs 4 miles in 48 minutes.
From the question, we have
Joseph runs 2/3 of a mile in 8 minutes.
Joseph runs 1 mile in (3*8)/2 = 12 minutes.
Joseph runs 4 miles in (12*4)= 48 minutes.
Multiplication:
Finding the product of two or more numbers in mathematics is done by multiplying the numbers. It is one of the fundamental operations in mathematics that we perform on a daily basis. Multiplication tables are the main use that is obvious. In mathematics, the repeated addition of one number in relation to another is represented by the multiplication of two numbers. These figures can be fractions, integers, whole numbers, natural numbers, etc. When m is multiplied by n, either m is added to itself 'n' times or the other way around.
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60.60 increased by 60%
The answer is 96.96
From the question, we have
60.60 increased by 60%
= 60.60 + 60.60 * 60/100
= 96.96
Percentage:
Use the percentage formula to express a number or percentage in terms of 100. % simply indicates one out of one hundred. An expression for a number between 0 and 1 can be made using the percentage formula. It is a number that is represented as a fraction of 100. The sign % is used to denote it and it is mostly used to compare and calculate ratios. The formula for percentage increases is the ratio of the increased value to the original value multiplied by 100. It is described in percentage form. If anything is valued more highly, both its value and proportion will rise.
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In a local election, Marshall received 682 votes and Emilio received 366 votes. Which option shows the ratio of Emilio's number of votes to Marshall's number of votes?
Given data:
The votes got by Marshall are M=682.
The votes got by Emilio are E=366.
The expression for the ratio of Emilio's number of votes to Marshall's number of votes is,
[tex]\begin{gathered} \frac{E}{M}=\frac{366}{682} \\ =\frac{183}{341} \end{gathered}[/tex]Which is the graph of the inverse sine function?
On a coordinate plane, a graph starts at (negative 1, negative StartFraction pi over 2) and increases through (0, 0) to (1, StartFraction pi Over 2 EndFraction).
On a coordinate plane, a graph starts at (negative 1, pi) and decreases through (0, StartFraction pi Over 2 EndFraction) to (1, 0).
On a coordinate plane, a graph starts at (negative StartFraction pi Over 2 EndFraction, 0) and increases through (0, 0) to (StartFraction pi Over 2 Endfraction, 1).
a) is the graph of inverse sine function.
Define inverse sine function.The inverse of the sine function, also known as the arcsine function, returns the angle's value when the sine function's opposite side and hypotenuse ratio are equal. It produces the angle's value.
When the opposing side and hypotenuse of a right triangle are known, the angles can be determined using the inverse sine function. That is, angle = sin-1. The inverse sine function, which is represented as sin-1 or arcsine, is one of the inverse trigonometric functions that calculates the inverse of the sine function. Each restricted domain inverse of a trigonometric function, such as cosine, tangent, cosecant, or cotangent, exists. The trigonometric ratios from the right-angle triangle are utilized to compute the angles using the inverse function formulas.
Given,
a) is the graph of inverse sine function.
Function - inverse sine
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Answer:
A
Step-by-step explanation:
Solve the right triangle ABC for all missing parts. Express angles in decimal degreesA=23°23', c= 47.25 mRound to the nearest hundredth please
The first step is to convert angle A = 23°23' to degrees. Recall, the interpretation of angle A is 23 degree 23 minutes. Also,
1 degree = 60 minutes
Let x = 23 minutes. Thus, we have these equations
1 = 60
x = 23
By crossmultiplying,
60x = 23
x = 23/60 = 0.3833
Thus,
angle A = 23 degrees + 0.3833 degrees = 23.3833 degrees
The triangle is shown below
Taking angle A as the reference angle,
hypotenuse = 42.75
opposite side = a
adjacent side = b
To find a, we would apply the sine trigonometric ratio which is expressed as
Sin# = opposite side/hypotenuse
Sin 23.3833 = a/47.25
By crossmultiplying,
a = 47.25Sin 23.3833
a = 18.75
To find b, we would apply the cosine trigonometric ratio which is expressed as
Cos# = adjacent side/hypotenuse
Cos 23.3833 = b/47.25
By crossmultiplying,
b = 47.25Cos 23.3833
b = 43.37
The given triangle is a right triangle. This means that one of its angles is 90 degrees. Thus,
angle C = 90 degrees
The sum of the angles in a traingle is 180 degrees. This means that
angle A + angle B + angle C = 180
23.3833 + angle B + 90 = 180
angle B + 113.3833 = 180
angle B = 180 - 113.3833
angle B = 66.62 degrees
pls help, this is too hard for me
The value that will be included in section D is C option 0.
The number that could not be included in the section B is D option [tex]\sqrt{32}[/tex].
An example of a value that could be represented by C is -10.
As we can observe from the figure, we can write the following:-
E is the set of natural numbers.
D is the set of whole numbers.
C is the set of integers.
D is the set of rational numbers.
A is the set of irrational numbers.
The biggest rectangle is the set of real numbers comprising of rational and irrational numbers.
Hence,
The value that will be included in section D is C option 0 as it is whole number.
The number that could not be included in the section B is D option [tex]\sqrt{32}[/tex] as it is an irrational number and will be included at A.
An example of a value that could be represented by C is -10 as C represents the set of integers.
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In the diagram, AABD is equiangular. What additional information is needed to provethat ABAE = AABC?АBEDсZBAE ZABC and ZABEZBACZABEZBAC and ZAEB ZBCAZAEB ZBCA and DE DCZBAE ZABC and DE DC
In my opinion is the first choice the correct answer, because it is proving that 2 angles are equal so the third angle will also have the same measure.
use the commutative property to write an expression equivalent to -5 d + 1/2
We are asked to use the commutative property in the following expression:
[tex]-5d+\frac{1}{2}[/tex]Let's remember that the commutative property states the following:
[tex]a+b=b+a[/tex]In this case, we can swap the order of the terms and they will remain equivalent, like this:
[tex]-5d+\frac{1}{2}=\frac{1}{2}-5d[/tex]And thus we have rewritten the expression using the commutative property
Show that each statement is false by providing a counterexample.
(a) If the measures of
a) Counterexample: [tex]m\angle{P}=90^{\circ}, m\angle{Q}=45^{\circ}, m\angle{R}=45^{\circ},[/tex]
b) Counterexample:[tex]m\angle{1}=45^{\circ}, m\angle{2}=45^{\circ},[/tex]
c) Counterexample: length=16, width=4
d) Counter example: angle ABD= 50 degree, angle CBD=10 degree
What is the interior?
Something's interior or related to its interior; inward.
a) An acute angle is one that measures less than 90 degrees.
Counterexample: [tex]m\angle{P}=90^{\circ}, m\angle{Q}=45^{\circ}, m\angle{R}=45^{\circ},[/tex]
(90 degrees is not an acute angle)
b) When the sum of two angles is 90°, then the angles are known as complementary angles
Counterexample:[tex]m\angle{1}=45^{\circ}, m\angle{2}=45^{\circ},[/tex]
( None of the angles is greater than 45 degrees )
c) Area of rectangle = length*width=16*4
Counterexample: length=16, width=4
d) Since C is the interior of the angle ABD, then, angle ABD+angle CBD=60 degrees
Counterexample: angle ABD= 50 degree, angle CBD=10 degree
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263747_+'('-+'++'+58"-
report student again
Find the area of the following figure with the indicated dimensions. Note that the figure represents a geometric shape with a hole.
13 cm
4 cm
8 cm
6 cm
Answer:
Step-by-step explanation:
Valerie earns $28,000.00 per year as an assistant hotel manager. Find her
average pay to the nearest cent if she works 38 hours per week, for 52 weeks
out of the year.
Answer:
$14.17 per hour
Step-by-step explanation:
You want Valerie's average pay to the nearest cent if she works 38 hours per week, for 52 weeks out of the year, receiving annual pay of $28,000.
Pay per HourIn a year, Valerie works ...
(38 hours/week) × (52 weeks/year) = 1976 hours/year
She is paid $28,000 for that number of hours, so her hourly pay is ...
$28,000/(1976 hours) ≈ $14.17/hour
Valerie's average pay is about $14.17 per hour.
A set of tires for your car cost 435.00 what is the cost for one tire?
Answer: Provided that the car has four tires, the cost per tire would be $ 108.75
Step-by-step explanation:
435 (Total tire cost) / 4 (number of tires) = 108.75 (the cost per tire)
**Cost model used does not include taxes or applicable other fees.
Answer:
108.75 each tire
Step-by-step explanation:
because 435.00 dividEd by 4 equals 108.75
4 in length and 2.6 in width What is the area in feet. Round to nearest hundredth place.
Solution
Given a rectangle of the dimension
[tex]\begin{gathered} \text{Length}=L=4\text{ in} \\ \text{Breadth}=B=2.6\text{ in} \end{gathered}[/tex]To find the area, A, of a rectangle, the formula is
[tex]A=LB[/tex]Where
[tex]\begin{gathered} 1ft=12\text{in} \\ 4\text{ in}=\frac{1}{3}ft \\ 2.6\text{ in}=\frac{13}{60}ft \end{gathered}[/tex]Substitute the values into the formula above
[tex]\begin{gathered} A=LB \\ A=\frac{1}{3}\times\frac{13}{60}=\frac{13}{180}=0.07222ft^2 \\ A=0.07ft^2\text{ (nearest hundredth)} \end{gathered}[/tex]Hence, the answer is 0.07ft² (nearest hundredth)
You have (12,-6) that dilates to (9,-4.5), what is the dilation?
The dilation is a reduction.
Lets the origin O(0,0) as a common point.
Let A be the point (12,-6) and B be the point (9,-4.5)
Distance formula = [tex]\sqrt{(x1-x2)^{2}+(y1-y2)^{2} }[/tex]
Therefore,
Distance between A and O = AO = [tex]\sqrt{(12-0)^{2}+(6-0)^{2} }[/tex]
= [tex]\sqrt{12^{2} +6^{2} }[/tex]
= [tex]\sqrt{144 + 36}[/tex]
= [tex]\sqrt{180}[/tex]
= 13.42
Distance between B and O = BO = [tex]\sqrt{(9-0)^{2}+(-4.5-0)^{2} }[/tex]
= [tex]\sqrt{9^{2} +(4.5)^{2} }[/tex]
= [tex]\sqrt{81 + 20.25}[/tex]
= [tex]\sqrt{101.25}[/tex]
= 10.06
As we can see, OA > OB
Therefore, it is a reduction.
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Solve the equation to find the value of x. log2(5x-4)=4
The given equation is
[tex]\log _2(5x-4)=4[/tex]To solve for x, the logarithm to indices relationship will be applied
That is
[tex]\begin{gathered} \log _ab=x \\ \Rightarrow b=a^x \end{gathered}[/tex]Hence
[tex]\begin{gathered} \log _2(5x-4)=4 \\ \Rightarrow5x-4=2^4 \end{gathered}[/tex]This is simplified to get
[tex]\begin{gathered} 5x-4=16 \\ 5x=16+4 \\ 5x=20 \\ x=\frac{20}{5} \\ x=4 \end{gathered}[/tex]Therefore, the value of x = 4
1. 2x + 7 + 3x + 5 =5x+12
2. 3x + 9 + 4x + 3 =7x+12
3. 5x - x = 4x
4. 5y + 7y = 12y
5. 7 + 6y + 5 =6y+12
6.2 + 6x + 4 + x = 6+7x
7.4 + 5y + 6 + 2y = 10+7y
8. 3x + 9 + 4x - 5 =4+7x
9.8+y-5+ 2y = 13+1y
10. 6y + 4 + 8y + 9 =14y+13
11. 2+x-1 + 4x=1+5x
12. 8y + 4y = 12+
pls i need the answers like now!!
Answer:are you fr bro??
1.true
2.true
3.true
4.true
5.true
6.true
7.true
8.true
9.y=2
10.true
11.true
12.y=1
Step-by-step explanation:
1. 5x+12=5x+12
2.7x+12=7x+12
3.5x=5x
4.12y=12y
5.6y+12=6y+12
6.7x+6=7x+6
7.7y+10=7y+10
8.7x+4=7x+4
9.3+3y=13+y
2y=10
y=2
10.14y+13=14y+13
11.5x+1=5x+1
12.12y=12
y=1
Frank reads at least 24 pages but not more than 36 pages of a book. He reads 12 pages per hour. The number of hours Frank reads p pages is modeled by a function. t(p)=p12 What is the practical range of the function?
all real numbers from 2 to 3, inclusive
all real numbers
all real numbers from 24 to 36, inclusive
all multiples of 12 between 24 and 36, inclusive
Answer:
as practical range of function is 2 to 3 so we have
12(2) = 24
12(3) = 36
i think this is it
Step-by-step explanation:
i don't really know how to explain it but:
12 x 2 = 24and
12 x 3 = 36Rewrite in simplest terms: -5a – 8(-8a + 1)
The expression is given as
[tex]-5a-8(-8a+1)[/tex]Step 1: Expand the parenthesis (-8a+1) by multiplying through by -8:
[tex]\begin{gathered} -5a\lbrack+64a-8\rbrack \\ \therefore-5a+64a-8 \end{gathered}[/tex]Simplify the expression by collecting and solving like terms:
[tex]\begin{gathered} -5a+64a-8\text{ } \\ =59a-8 \end{gathered}[/tex]Thus, the simplest term is 59a - 8
how to check 9x - 11 = -38 ( x equals 7/2)
Answer:
Multiply 9 and 7/2 to check the answer.
1. Tanisha drove 120 miles on 5 gallons of gas. How many miles can she drive if she has 12 gallons of gas?
You used a student deck of 52 cards and selected a card at random find (c) 2 of heart
Definition
Theoretical Probability is the ratio of the number of favorable outcomes to the total possible outcomes of an event.
Expressing probability as a formula:
[tex]\text{probability = }\frac{Number\text{ of favorable outcomes}}{Total\text{ possible outcomes of an event}}[/tex]Information about a standard deck of cards:
A standard deck of cards has four suits: hearts, clubs, spades, diamonds. Each suit has thirteen cards: ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, jack, queen, and king. Thus the entire deck has 52 cards total.
(a) Picture card (J, Q, and K)
In a standard deck, there are 4 Jacks, Queens, and Kings. Hence, the probability of J, Q, and K are:
[tex]\begin{gathered} \text{Number of picture cards = 4 }\times\text{ 3} \\ =\text{ 12} \end{gathered}[/tex]Probability as a fraction:
[tex]=\text{ }\frac{12}{52}[/tex]In decimal:
[tex]=\text{ }0.23[/tex]Percent:
[tex]\begin{gathered} =\text{ 0.23 }\times\text{ 100} \\ =\text{ 23\%} \end{gathered}[/tex](b) 9 or 10
There are 4 cards labeled 9 and 10 each.
Probability as a fraction:
[tex]\begin{gathered} P(9or10)=\text{ P(9) + P(10)} \\ =\text{ }\frac{4}{52}\text{ + }\frac{4}{52} \\ =\text{ }\frac{8}{52} \end{gathered}[/tex]In decimal:
[tex]=\text{ 0.15}[/tex]In percent:
[tex]\begin{gathered} =\text{ 0.15 }\times\text{ 100} \\ =\text{ 15\%} \end{gathered}[/tex](c) 2 of heart
In a standard deck of cards, there are only one 2 of hearts.
Probability as a fraction:
[tex]=\text{ }\frac{1}{52}[/tex]In decimal:
[tex]=\text{ 0.02}[/tex]In percent:
[tex]\begin{gathered} =\text{ 0.02 }\times\text{ 100} \\ =\text{ 2\%} \end{gathered}[/tex]Which BEST describes the system of equations? 3x = 5 - 4y 6x + 8y = 7 A) Consistent B) Inconsistent Consistent and Dependent D) Consistent and Independent
The given set of equations is,
[tex]\begin{gathered} 3x=5-4y \\ \Rightarrow3x+4y-5=0\ldots\text{.}(1) \\ 6x+8y=7 \\ \Rightarrow6x+8y-7=0\ldots\ldots(2) \end{gathered}[/tex]The ratio of coefficient can be determined as,
[tex]\begin{gathered} \frac{a_1}{a_2}=\frac{3}{6}=\frac{1}{2}_{} \\ \frac{b_1}{b_2}=\frac{4}{8}=\frac{1}{2} \\ \frac{c_1}{c_2}=\frac{-5}{-7}=\frac{5}{7} \\ \frac{a_1}{a_2}=\frac{b_1}{b_2}\ne\frac{c_1}{c_2} \end{gathered}[/tex]Thus, the solution is inconsistent as there is no solution.
Thus, option (B) is the correct solution.
Question 2 Part C (2.02, 2.05): The linear function f(x) represents the average test score in your language arts class, where x is the number of the test taken. The linear function g(x) represents the average test score in your social studies class, where x is the number of the test taken.
Answer:
f(x)
Step-by-step explanation:
[tex]f(4)=0.3(4)+80=81.2 \\ \\ \\ \frac{g(3)-g(2)}{3-2}=\frac{81-83}{1}=-2 \\ \\ \therefore g(x)-85=-2(x-1) \\ \\ g(x)=-2x+2+85=-2x+87 \\ \\ g(4)=-2(4)+87=79 \\ \\ \therefore f(4)>g(4) \implies \boxed{f(x)}[/tex]