Answer:
Question 1: Yes
Question 2: Ralph
Step-by-step explanation:
\(\frac{3}{4} +\frac{2}{3} +\frac{3}{4} = 2\frac{1}{6}\)
\(10.38 < 10.6\)
The tickets for the field trip were purchased yesterday for both students and instructors. Children tickets cost $9, adult tickets cost $11. The number of children tickets purchased was three more than ten times the number of adults tickets purchased. How many of each were purchased if all of the tickets cost a total of $936 dollars?
The 9 adult tickets and 93 children tickets were purchased.Let's assume the number of adult tickets purchased is "a" and the number of children tickets purchased is "c."
According to the given information, children tickets cost $9 and adult tickets cost $11. So, the total cost of children tickets is 9c, and the total cost of adult tickets is 11a.
The problem also states that the total cost of all the tickets is $936. Therefore, we can write the following equation:
9c + 11a = 936
Additionally, it is mentioned that the number of children tickets purchased was three more than ten times the number of adult tickets purchased:
c = 10a + 3
We can now solve this system of equations to find the values of "a" and "c." By substituting the value of "c" from the second equation into the first equation, we have:
9(10a + 3) + 11a = 936
90a + 27 + 11a = 936
101a = 936 - 27
101a = 909
a = 909 / 101
a = 9
Substituting this value back into the second equation, we find:
c = 10(9) + 3
c = 90 + 3
c = 93.
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Ani spent a total of $7.53 at a store. She bought some cereal for $3.67. She also bought 6 peaches.
If each peach cost the same amount, which equation can be used to find the cost of each peach, P?
A. P = $7.53-6
B. P = $3.67 6
C. P= $7.53 - ($3.67=0
D. P= ($7.53 - $3.67) = 6
E. P= ($7.53 + $3.67) = 6
Answer:
D
Step-by-step explanation:
It says she spent $7.53 at the store and she bought (SOME) cereal for $3.67
so we have to find how much the 6 peaches cost. To find it out we are going to have to subtract the cereal she bought from $3.67 and the money she wasted total so its going to be D.
1)
Science 5
Measurement Assignment
Name each measurement instrument below. Then, indicate which
type of measurement is performed with each one. Remember,
some instruments can be used for more than one type of
measurement!
Instrument
Name of Instrument
Measurement Type
Answer: See below
Step-by-step explanation:
The first is a beaker, it's used to measure liquid volume
The second is a ruler, it's used to measure length.
Last is a thermometer, it's used to measure temperature.
midsegment of a trapezoid find x
Answer:
x = 7
Step-by-step explanation:
Based on the midsegment theorem of a trapezoid, thus:
NP = (JK + ML)/2
Substitute
45 = (3x + 11 + 10x - 12)/2
2*45 = 13x - 1
90 = 13x - 1
90 + 1 = 13x
91 = 13x
Divide both sides by 13
91/13 = x
7 = x
x = 7
Show that ABC is right triangle A(-7,-2), B(-3,-3) C(-4,-7)
Answer:
Step-by-step explanation:
slope of AB = (-3 - (-2)) / (-3 -(-7) = -1/4
slope of BC = (-3 - (-7)) / (-3 -(-4) = 4/1
As the slopes of AB and BC are negative reciprocals of each other, they are perpendicular and therefore triangle ABC is a right triangle.
Instructions: Use the ratio of a 30-60-90 triangle to solve for the variables. Leave your answers as radicals in simplest form.
If you are using a screen-reader, please consult your instructor for assistance.
x=
y=
Using the ratio of the sides, we have:$x\sqrt{3} = 12\sqrt{3}$ (opposite the $60^{\circ}$ angle is 12$\sqrt{3}$)$x = 2\sqrt{3}\cdot6$ (the hypotenuse is $2x = 12\sqrt{3}$)Simplifying, we have:$x = 12\sqrt{3}$. Therefore $x=y=12\sqrt{3}$, which is our answer
In a 30-60-90 triangle, the sides have the ratio of $1: \sqrt{3}: 2$. Let's apply this to solve for the variables in the given problem.
Instructions: Use the ratio of a 30-60-90 triangle to solve for the variables. Leave your answers as radicals in simplest form. x=y=Let's first find the ratio of the sides in a 30-60-90 triangle.
Since the hypotenuse is always twice as long as the shorter leg, we can let $x$ be the shorter leg and $2x$ be the hypotenuse.
Thus, we have: Shorter leg: $x$Opposite the $60^{\circ}$ angle: $x\sqrt{3}$ Hypotenuse: $2x$
Now, let's apply this ratio to solve for the variables in the given problem. We know that $x = y$ since they are equal in the problem.
Using the ratio of the sides, we have:$x\sqrt{3} = 12\sqrt{3}$ (opposite the $60^{\circ}$ angle is 12$\sqrt{3}$)$x = 2\sqrt{3}\cdot6$ (the hypotenuse is $2x = 12\sqrt{3}$)Simplifying, we have:$x = 12\sqrt{3}$
Therefore, $x=y=12\sqrt{3}$, which is our answer.
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Someone please help I cant figure it out i need help
Answer:
136
Step-by-step explanation:
Surface area is area of everything added together.
Area of triangle is 4 * 6 over 2 = 12
Area of side rectangle is 5 * 7 = 35
Area of base rectangle is 6 * 7 = 42
42 + 35 + 35 + 12 + 12
Final Answer: 136 sq m
B=(3,5,6,9) and C=(2,4,6,8) Find (A). A/B (B). B/C C. A/C (D). C/A
Answer:
The question isn't clear. Can you provide more information or context? What is A? Is it a set or a number? Without this information, I can't provide a meaningful answer.
To be eligible for the swim team, the mean pace a student needs to achieve on 5 laps of the pool is 60 seconds (s). The student swims a lap in 63 s, 62 s, 65 s, and 58 s on her first four laps.
What is the maximum time (in seconds) that she can take on her last lap and still make the team?
52s is the maximum time that she can take on her last lap and still make the team.
What is Statistics?Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
Given that he mean pace a student needs to achieve on 5 laps of the pool is 60 seconds (s).
The student swims a lap in 63 s, 62 s, 65 s, and 58 s on her first four laps.
We need to find the maximum time (in seconds) that she can take on her last lap and still make the team
Let x be the maximum time (in seconds) that she can take on her last lap
60=(63+62+65+58+x)/5
300=63+62+65+58+x
300=248+x
Subtract 248 on both sides
300-248=x
x=52s
Hence, 52s is the maximum time that she can take on her last lap and still make the team.
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Solve for x:
4x+1=5x-2
Answer:
x=3
Step-by-step explanation:
4x+1 = 5x-2
Bringing all like terms together,
5x-4x = 2+1
x = 3
Answer:
x=3
Step-by-step explanation:
4x+1=5x-2
-5x -5x
-x+1=-2
-1 -1
-x=-3
/-1 /-1
x=3
brainliest plzzzzzzzzzzzzzzzzzz To the nearest litre, how much gasoline can
you buy with $20.00 if the price for gas is
87.5¢/L?
how is this done?
cany someone please help
Answer:
22.86 liters
Step-by-step explanation: thats the rounded up answer the full answer is 22.857142857142858
If you were to invest your money, which term will you use to compute for the interest in your investment: exact or approximate time? Justify your answer in one sentence.
2. If you're borrowing money, which type of interest would save you more money if the interest rate and time for loans are exactly the same? Explain your answer in one sentence.
The term that can be used by the person to compute the interest in the investment will be simple interest.
What is simple interest?It should be noted that simple interest simply means the interest that is charged on a loan.
The simple interest is gotten by multiplying the daily interest rate by the principal. When one borrows money.
Also, the type of interest that would save you more money if the interest rate and time for loans are exactly the same is a compound interest.
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Let s represent a false statement, let p represent a true statement, and let r represent a false statement. Find the truth value of the following statement. - [(s or -p) or r]
Work Shown:
s = false
p = true
r = false
-p = false, which is the opposite of statement p
s or -p = false or false = false
The result of an 'or' operation is false only when both parts are false; otherwise, it is true
(s or -p) or r = false or false = false
(s or -p) or r = false
When they arrived in Philadelphia, Tyler’s family took a taxi to a museum. The taxi charged $2.70 per mile, and they paid the driver a $3.00 tip. If they paid a total of $16.50 for the taxi ride, about how far was the museum from the train station?
Answer:
5 miles
Step-by-step explanation:
To find how many miles it is from the train station to the museum we first have to subtract the tip from the total fair and you get 13.50 and then you divide 13.50 by 2.70 to get the number of miles and you get 5.
Tammy writes the equation -1 / 8 = -1/8. Is she correct? Explain.
Jasmine invests 2658 in a retirement account for with a fixed annual interest rate of 9% compounded continuously what will the account balayage be after 15 years
Answer:
$10,253.04
Step-by-step explanation:
Mary spends 2 2 3 hours on math homework every week. She also spends 3 1 3 hours on art homework every week. How much time does Mary spend in total on math and art over 4 weeks?
Answer: This is the answer. please give me the brainliest. Thanks
PLEAS HELP ASAP 100 POINTS TO WHO EVER HELPS
A repeating decimal like 0.222222222..... is a rational number and can be written as the fraction 2/9
A stopping decimal like 0.22 is a rational number and can be written as the fraction 22/100 or 11/50
A non-stopping and non-repeating decimal like 0.1234567891011... or 0.121121112... is an irrational number can not be written as the fraction
The square root of a perfect square is a rational number and also a whole number.
The square root of a imperfect square is an irrational number.
What are irrational and rational numbers?Rational numbers are the numbers that can be expressed in the form of a ratio (i.e., P/Q and Q≠0) and irrational numbers cannot be expressed as a fraction. But both the numbers are real numbers and can be represented in a number line.
Given,
Fill in the blanks,
By the properties of irrational numbers,
Irrational numbers are non terminating and non-recurring decimal numbers and any square root that is not perfect root is irrational number.
Rational numbers the numbers that can be written as fraction.
Hence, rational, 2/9, 11/50, irrational, can not be written as fraction, perfect square and imperfect square are the words to fill in the blanks.
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Un banco de México es comprado por otra institución de origen español. El nuevo director, decide fusionar la operación entre ambas instituciones donde se aprovisionen servicios de internet desde España a México. Para lograr lo anterior, ¿qué debe plantear el director como proyecto para unir ambas operaciones?
Question:
A bank in Mexico is bought by another institution of Spanish origin. The new director decides to merge the operation between both institutions where internet services are provided from Spain to Mexico. To achieve this, what should the director propose as a project to unite both operations?
My mom translated this for me and I am writing the reply with Google Translate sorry if it sucks.
Ésta es una pregunta muy específica. Creo que dependería de la preferencia del director y de los fondos.
) How do college professors spend their time? The National Education Association Almanac of Higher Education gives the following average distribution of professional time allocation: teaching, 51%; research, 16%; professional growth, 5%; community service, 11%; service to the college, 11%; and consulting outside the college, 6%. Make a pie chart showing the allocation of professional time for college professors.
Answer:
See Attachment
Step-by-step explanation:
Given
\(Teaching = 51\%\)
\(Research = 16\%\)
\(Professional\ Growth =5\%\)
\(Community\ Service = 11\%\)
\(College\ Service = 11\%\)
\(Consulting = 6\%\)
Required
Represent using pie chart
I'll answer using Microsoft Office Excel
First, you need to create a table then you generate a chart from the table
See Attachment
JKLM is a rectangle. Find the value of x.
Help me fast please
Answer:
x = 10
Step-by-step explanation:
3x + 38 = 7x - 2
subtract 3x from both sides ogf the equation:
38 = 4x - 2
add 2 to each side:
40 = 4x
divide both sides by 4:
x = 10
Please help me please
Answer:
less than
Step-by-step explanation:
It is smaller on the number line. Negative numbers are smaller than positive numbers
Inga is solving 2x2 + 12x – 3 = 0. Which steps could she use to solve the quadratic equation? Select three options.
2(x2 + 6x + 9) = 3 + 18
2(x2 + 6x) = –3
2(x2 + 6x) = 3
x + 3 = Plus or minus StartRoot StartFraction 21 Over 2 EndFraction EndRoot
2(x2 + 6x + 9) = –3 + 9
To complete squares, she must use, in order:
Third step.First step.Fourth step.Which steps could she use to solve the quadratic equation?
Here we have the quadratic equation:
\(2x^2 + 12x - 3 = 0\\\)
There are some ways of solving this, the first approach is completing squares, where we can write:
\(2(x^2 + 6x) - 3 = 0\\\\2(x^2 + 2*3*x + 9 - 9) -3 = 0\\\)
Here we add and subtract 9 to complete squares and not change the equation. Here we used the third step only.
Now we just complete squares to get:
\(2*(x^2 + 6x + 9) - 2*9 - 3 = 0\\\\2(x^2 + 6x + 9) = 3 + 18 = 21\\\\2*(x + 3)^2 = 21\\\\x + 3 = \pm \sqrt{\frac{21}{2} }\)
Where the first and fourth steps are also used.
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Melinda is planning to attend a private university after she graduates from high school in 3 years. She is devising a plan to save money each month to help with the expenses of attending the university. The cost of attending the private university for one year is $22,500. Her family has promised to contribute $13,500 each year she is in school. Which plan shows the minimum amount of money Melinda must contribute to her savings to have enough money to pay for her first year of tuition? A: save $250 per month for the next 3 years B: Save $375 per month for the next 3 years C: Save $625 per month for the next 3 years D: Save $750 per month for the next 3 years
Answer:
A: save $250 per month for the next 3 years
Step-by-step explanation:
Melinda has three more years in high school as stated in the question.
One year private university tuition = $22,500
Support from family = $13,500
Amount that Melinda has to pay = $22,500 - $13,500 = $9000
Number of months in three years = 3 * 12 = 36 months
If she must save $9000 in 36 months
Then $x must be saved in 1 month
x = $9000/36
x = $250
If these solids were If these solids were candles that you could sell, and the cylinder shaped candie was $12.00. What would be the price of the cone shaped candle and the sphere shaped candle? (
The volume of wax is required to make 1 candle is 22.92 cu. in.
Explain about the shape of cone:A cone is a tri solid geometric object with an apex that is pointed at the top and a circular base. A cone has a vertex and one face.
The length of a line segment from a cone's apex to any point along the circumference of a cone's base is known as the slant height of the cone.An oblique cone is one that doesn't have its apex directly over the base's circle.Given data:
Candle's shape is cone.height h = 6 in.circumference c = 12 inchesLet the radius of the cone be 'r'.
circumference c = 2*π*r
c = 2*π*r
12 = 2*3.14*r
r = 6/3.14
r = 1.91
Volume of cone V = 1/3 * π * r² *h
Put the values:
V = 1/3 * 3.14 * 1.91² *6
V = 22.92 cu. in.
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Correct question:
A company makes candles in the shape of the cones. Their best selling candles has a height of 6 inches and the circumference of 12 inches What is the volume of wax is needed to make 1 candle.
please help its practice i really need it
Answer:
1/5
Step-by-step explanation:
Graph the line with slope -3 passing through the point (1,-5)
The equation of the line in the standard form exists 3x - y = 2.
What is the equation of a line?The equation of a line is a representation of a line on an x-y plane that illustrates the relationship between x and y for each point on the specific line. When x and y are variables and a, b, and c are constants, a line has the standard form ax + by = c.
Y = mx + b is the slope-intercept form of a line, where x and y are variables, m is the line's slope, and b is the line's y-intercept.
The one-point formula reads: y - y₁ = m(x - x₁). to describe the equation of a line traveling through the point (x1, y1) and having a slope of m.
We are asked to graph a line with a slope = -3, passing through the point (1, -5).
We use the one-point formula to determine the equation of this line, with slope m = -3, (x₁, y₁) = (1, -5).
Substituting these values in the equation y - y₁ = m(x - x₁), we get
Let the equation be y - -5 = -3(x - 1)
simplifying the equation, we get
y = -3x + 3 - 5
y = -3x - 2
3x - y = 2
The equation of the line in the slope-intercept form exists y = -3x - 2
The equation of the line in the standard form exists 3x - y = 2.
We draw the locations (1,-5) (because it is obvious that the line goes through this location) and (0, 2) (since the y-intercept is at 2 and the line passes through the point (0, 2)) in order to graph this line. We draw a line connecting these places, then we expand it on both sides to create the necessary line.
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How much 72-octane gas and 84-octane gas should be blended to make 12 gallons of 78-octane gas?
The amount of 72 octane gas is enter your response here gallons.
The amount of 84 octane gas is enter your response here gallons.
Answer:
6 gallons 72-octane
6 gallons 84-octane
Step-by-step explanation:
(84 + 72)/2 = 78
The average octane in 72-octane and 84-octane is 78-octane.
Therefore, you need equal amounts of each.
Answer:
6 gallons 72-octane
6 gallons 84-octane
Which of the following statements best describes why the given expression is not simplified?
3x^2–2x+1 - 4x - 6
Answer:
3x²–6x–5
Step-by-step explanation:
3x²–2x+1–4x–6
collect like terms
3x²–2x–4x–6+1
3x²–6x–5
Complete the left-hand column of the table below following the steps indicated in the right-hand column to show that "sin a sin b = 1/2[cos(a-b)-cos(a+b)]" is an identity. Use the definitions of sum and difference formulas for cosine.
The equations which completes the left-hand column of the table are;
\( \frac{1}{2} \cdot \left(cos(a - b) - cos(a + b) \right)\)
cos(a - b) - cos(a + b) = (cos(a)•cos(b) + sin(a)•sin(b)) - (cos(a)•cos(b) - sin(a)•sin(b))sin(a)•sin(b) = (1/2)•(cos(a - b) - cos(a + b))Which equations and identities complete the left-hand column of the table?The given expression on the right is written as follows;
First row;
\( \frac{1}{2} \cdot \left(cos(a - b) - cos(a + b) \right)\)
The definition of the sum and difference of cosine are;
cos(a - b) = cos(a)•cos(b) + sin(a)•sin(b)
cos(a + b) = cos(a)•cos(b) - sin(a)•sin(b)
Therefore;
Second row;
cos(a - b) - cos(a + b) = (cos(a)•cos(b) + sin(a)•sin(b)) - (cos(a)•cos(b) - sin(a)•sin(b))cos(a - b) - cos(a + b) = 2•sin(a)•sin(b)
Which gives;
\( sin(a) \cdot sin(b) = \frac{1}{2} \cdot \left(cos(a - b) - cos(a + b) \right)\)
Third row;
sin(a)•sin(b) = (1/2)•(cos(a - b) - cos(a + b))Learn more about trigonometric functions here:
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