The number of boys were 1750 boys and the number of girls were 700 girls .
In the question ,
it is given that ,
the ratio of the number of girls to the number of boys is 2 : 5.
So , the number of boys is = 5x
and the number of girls is = 2x ,
also given that , the total number of students is = 2450
So , According to the question ,
5x + 2x = 2450
7x = 2450
Dividing both sides by 7 ,
we get ,
x = 2450/7
x = 350 ,
Hence , the number of girls = 2(350) = 700
and the number of boys is = 5(350) = 1750 .
Therefore , there are 700 girls and 1750 boys .
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Which of the following is equal to O BIN 22 26 day √3√2?
Answer:
3√3?
Step-by-step explanation:
The area of a triangle is 36 cm2. The height of the triangle is 6 cm less than the base. What is the height of the triangle?.
Answer:
[tex]\huge{\boxed{\text{The height of the triangle is 6cm.}}}[/tex]
Step-by-step explanation:
This question requires us to use a system of equations.
The area of a triangle is (1/2) * (base) * (height).
Thus, if b = base, and h = height
[tex]\frac{1}{2} bh=36[/tex]
Additionally, from the problem, we know:
[tex]b=h+6[/tex]
Then, via substitution, we can get
[tex]\frac{1}{2} *(h+6)*h=36[/tex]
Then, simplify:
[tex]\frac{1}{2} h^2+3h=36[/tex]
[tex]\frac{1}{2} h^2+3h-36=0[/tex]
[tex](\frac{1}{2} h-3)(h+12)=0[/tex]
Thus, the height must equal either 6 or -12, and because height cannot intrinsically be negative, the height must be 6.
Hope it helps :) and let me know if you want me to elaborate.
Triangle ABC has the following measures: mA = 46°, m/B = 73°, and b = 32.3. What
is the length of side c?
The length of the side c is equal to 29.54 approximately to 2 decimal place, using the sine rule.
What is the sine ruleThe sine rule is a relationship between the size of an angle in a triangle and the opposing side.
For the triangle ABC, by sine rule;
a/sinA = b/sinB = c/sinC
We first derive the angle C as follows:
46° + 73° + C = 180° {sum of interior angles of a triangle}
C = 180° - 119
C = 61°
Thus by sine rule;
c/sin61° = 32.3/sin73°
c = (32.3 × sin61°)/sin73° {cross multiplication}
c = 29.5410
Therefore, by proper application of the sine rule we have the length of the side c to be equal 29.54 approximately to 2 decimal place.
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what is the minimum cost in dollars for a fair to be included in the highest 3% of domestic airfares? (round your answer to the nearest integer.)
$592 is the minimum cost in dollars for a fair to be included in the highest 3% of domestic airfares. Using the concept of probability -
What is probability?Probability is a mathematical discipline that concerns with numerical figures of how probable an occurrence is to occur or how probably a statement is to be true. A number between 0 and 1 is the probability of an occurrence, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes its certainty.
Mean – 385 per ticket
Standard Deviation - 110
Now,
P (Z > x ) = 0.03
Value of z to the cumulative probability of 0.03 from the normal distribution table is 1.88
P(x - u / (standard deviation) > x - 385/110) = 0.03
That is, (x - 385/110) = 1.88
Therefore, x = 1.88 ×( 110+385)
= 591.91 or $592
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A turtle is 26.2 meters from a pond when it starts crawling toward the pond. The turtle crawls straight toward the pond at a
constant rate of 3.5 meters per minute.
Which equation models the distance of the turtle from the pond? (Let q represent the turtle's distance, in meters, from the
pond and p represent the number of minutes since it started crawling toward the pond.)
A. g=26.2-3.5
B.q=26.2p+3.3
C.q=26.2p-3.5
D.q=26.2+3.5p
The equation which models the distance of the turtle from the pond is q = 26.2 + 3.5p. Option D. is the answer
How to determine which equation models the distance of the turtle from the pond?
Given that:
A turtle is 26.2 meters from a pond when it starts crawling toward the pond
The turtle crawls straight toward the pond at a constant rate of 3.5 meters per minute
q represents the turtle's distance, in meters, from the pond and p represents the number of minutes since it started crawling toward the pond
The linear equation is of the form y = mx + c
where m is the rate of change and c is the starting point or y-intercept
m = 3.5 meters per minute, c = 26.2 meters
y = q ( turtle's distance) and x = p (number of minutes)
Thus, the equation models the distance will be:
q = 26.2 + 3.5p
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Emmett's seventh grade class is going on a field trip to a history museum. There are x students and y teachers going on the trip. Tickets for students are $10 each and tickets for teachers are $20 each. The history museum gave the class 20% off as part of a group promotion.
Pick all the expressions that represent the total cost of the field trip.
Expressions that represent the total cost of the field trip is
0.8{10x + 20y}.
What is Expression?A mathematical expression is made up of numbers, variables, and functions (such as addition, subtraction, multiplication or division etc.)
It is possible to compare expressions and phrases. In English, a phrase by itself could contain an action, but it doesn't constitute a full sentence.
As instances of expressions and how they connect to word phrases, consider the following:
Example: 3 + 7
The phrase "the product of three and seven"
Cost of Ticket for each student cost = $10
Cost of Ticket for each Teacher cost = $20
Let the total students be x
and, total number of teacher will be y
Total cost= 10x + 20y
As museum gives 20 % rebate for promotion
So, now total cost will be {10x + 20y} - 20/100 {10x + 20y}
So the required Expression would be 0.8{10x + 20y}.
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The answers I really need the answers to this assignment
Answer:
Step-by-step explanation:
answer for 1 & 2 & 3
A Question 7 (2 points) Retake question
Let f(x)= x + 3
The graph of f(x) is transformed into the graph of g(x) by a translation of 4 units left.
What is the equation for g(x)?
g(x) = |x-1
g(x)= |x-41 +3
g(x) = |x| +7
g(x)= x + 4 + 3
Answer:
g(x) = |x-4| + 3
Please help me solve!
Answer:
so I think the anwerst it all jedi younglings
Kenji and his theater group are putting on a play. They need to make $373.50 to cover the
costs of the props and costumes. If they charge $4.50 for each ticket, how many tickets do
they need to sell to cover their costs?
Answer: 83 on the dot
Step-by-step explanation:83x4.50=373.50
can you answer this fast please please
Answer:
top option: The function is nonlinear and does not have a constant rate of change
Step-by-step explanation:
This is a parabolic function, meaning that it increases exponentially. Therefore, it is nonlinear and does not have a constant slope (rate of change).
the area of an equilateral triangle ABC is 50 cm² find AB
Answer:
Step-by-step explanation:
Length of side AB=a=10.75cm
Omari buys a computer for $1,099. He
makes a down payment of 20%. His monthly
payments for the computer are $144. How
many months will it take Omari to finish
paying off the computer?
It will take 6 months for Omari to finish paying off the monthly payment for the computer.
What is the monthly payment?
The amount paid each month to repay the loan over the course of the loan is known as the monthly payment. When a loan is taken out, not only the principal, or the original lent amount, but also the interest that accrues, must be repaid.
Given, the total price of the computer = $1,099
down payment = 20% of $1,099 = $219.8
The remaining amount = $1,099 - $219.8 = $879.2
monthly payments for the computer = $144
Then, the total months to pay = 879.2/144 = 6 months
Hence, it will take 6 months for Omari to finish paying off the monthly payment for the computer.
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Two cars leave for a vacation at the same time.
The drivers estimate how far they can travel in the first few hours.
Car B starts downtown.
Meanwhile, Car A starts 100 miles closer, heading to the same destination.
The graph shows the motion of each car.
Their speeds can be compared by comparing the steepness of the graphed line.
Use the drop-down menus to complete the statements.
Car A is travelling at a faster rate than Car B because its line on the graph is steeper.
What justifies measuring average speed?Average Understanding speed will help you better comprehend the pace of a travel. The speed may occasionally change while traveling. Finding the average speed becomes crucial in this situation so that you can get an idea of how quickly the travel will be finished.
What are typical speeds and an illustration?Divide the overall distance traveled by the time period to find the average speed. An someone traveling at an average speed of 40 miles divided by 40 minutes, or 1 mile per minute, would be driving 20 miles north and then 20 miles south to arrive at the same location (60 mph)
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PLEASE ANSWER NOWWW!!!!!!!!
Answer:
d
Step-by-step explanation:
its 3 to the right and top and its not a negative number so we don't go left
Answer:
Graph A
Step-by-step explanation:
The equation indicates the line has a positive slope and a y-intercept of 0. The only graph that corresponds to those conditions is Graph A.
120 thousand cars were manufactured in a country in the year 2004-OS. The production of cas
increased to 150 thousand in 2005-06. Find the percentage increase in the manufacture of cars.
Answer:
25% increase
Step-by-step explanation:
120 thousand cars were manufactured in a country in the year 2004-O5. The production of cars increased to 150 thousand in 2005-06. Find the percentage increase in the manufacture of cars.
(150 - 120) / 120 = 0.25
0.25 = 25% increase
PLEEEEEEEEEEEEEEEEEEEEEEASEEEEEEEEEEEEEEEEE HELP
Answer:
Step-by-step explanation: with what????????????????????
Answer:
theres no image?
Step-by-step explanation:
Ron did not pay his credit card bill in full last month. He wants to pay it in full this month. On this month's bill, there is a mistake in the average daily balance. The
credit card company lists the average daily balance on his bill as $510.50. Ron computed it himself and found that it is $410.50.
a. The APR is 18%. What finance charge did the credit card company compute on Ron's bill?
b. If Ron's average daily balance is correct, what should the finance charge be?
The credit card company calculated a finance charge of $7.66 on Ron's bill if the annual percentage rate is 18%.
What is finance charges?A finance charge is any fee that represents the cost of credit or borrowing. It is the interest and fees charged for certain types of credit. It includes not only interest but also other charges like financial transaction fees.A financing charge is, to put it simply, any fee incurred when using credit. A finance charge is the total of all fees that are imposed incidentally to the extension of credit by the creditor and are paid directly or indirectly by the person to whom credit is extended, according to the Truth in Lending Act's legal definition.Your monthly statement from your credit card company will include a list of all finance charges in addition to your purchases and payments. Your card issuer will determine how your finance fee appears on your statement.The finance charge is the product of the average daily balance and the monthly percentage rate.
The annual percentage rate (APR) is 18% or 0.18.
$510.50× 0.18 / 12 =$7.66
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5 times the sum of a number and -2 equals 30
Answer: 5(x+-2) = 30
Step-by-step explanation:
Answer:
x=8
Step-by-step explanation:
5(x+(-2))=30
5x-10=30
+10 +10
5x=40
/5. /5
x=8
Hopes this helps please mark brainliest
Will give brainliest!!
To convert the fraction 2 8/10 to a decimal, divide the numerator (8) by the denominator (10):
8/10 = 0.8Then, add the integer part (2) to the result:
2 + 0.8 = 2.8Therefore, the decimal representation of 2 8/10 is 2.8.
I need help on this question.
What is m
a card is drawn from a deck of 52 playing cards. what is the probability that it is a king and a black card?
The probability that the card is a king and a black card is 1/26.
What is the probability?There are 4 kings in a deck of 52 playing cards, and half of the cards are black, so there is a 1/13 probability that a randomly drawn card is a king, and a 1/2 probability that it is black.
To find the probability that a card is both a king and black, you can use the formula for the probability of the intersection of two events: P(A and B) = P(A) * P(B | A), where P(A) is the probability of event A occurring, and P(B | A) is the probability of event B occurring given that event A has already occurred.
Using this formula, the probability of drawing a king and a black card is:
P(King and Black) = P(King) * P(Black | King)
= (1/13) * (1/2)
= 1/26
So the probability of drawing a king and a black card is 1/26, or about 3.8%.
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A mug is 1/3 full. The mug contains 3/4 of a cup of water. Find the capacity of the mug. Write the answer as a fraction or mixed number in simplest form.
Please answer quick and add an explanation 0.0
Thank you!
Answer: 9/4
Step-by-step explanation:
The equation for this is 3/4 x 3 = 3/4 x 3/1 = 2 1/4
Simple 2 1/4 to fraction = 9/4
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The mug has a capacity of 2 1/4 cups of water, as per the given conditions.
Given that,
A mug is 1/3 full. The mug contains 3/4 of a cup of water. Find the capacity of the mug.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
As
1 / 3 of mug = 3 / 4 cups
1 of mug = 3/4 / [1/3]
1 of mug = 3×3 / 4
1 of mug = 9 / 4 cups or 2 1 / 4 cups
Thus, the mug has a capacity of 2 1/4 cups of water, as per the given conditions.
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Please help me!At the beginning of spring, Jin planted a small sunflower in his backyard. The sunflower's height in inches, hh, after ww weeks, is given by the equation h=18+2.5wh=18+2.5w. What could the number 18 represent in the equation?
Answer:
The equation of the sunflower's height is h = 18+2.5w
Since the number 18 remains constant regardless of the change in number of weeks, we know that at the start h (w=0) = 18 + 2.5 x 0.
This means that, when Jin planted the sunflower, the sunflower's height was already 18 inches.
For such a reason, we can conclude that the number 18 could represent the sunflower's height at the start (original height).
--
Have a nice day!!
Write an algebraic expreion that marhall can ue to determine the total cot of buying a watermelon that weigh w pound and ome tomatoe that weigh t pound. How much will it cot to buy a watermelon that weigh 18 1/2 and 5 pound of tomatoe
The required algebraic expression when the that total cost is $142.05.
That is $125.80 for Watermelon that weighs 185 lbs and $16.25 for 5 lbs of tomatoes.
=>Total cost = 3.25t +.68w
Given: Tomatoes cost $3.25 per lb while watermelons cost $.68 per lb.
Let w = weights of the tomatoes and watermelons.
The algebraic expression would be:
3.25t +.68w = Total cost
For 5 pounds of tomatoes and 185 lb of watermelon:
68(185) + 3.25(5)
=$125.80 + $16.25
= $142.05
The concept of algebraic expressions is the use of letters or alphabets to represent numbers without providing their precise values. We learned how to express an unknown value using letters like x, y, and z in the fundamentals of algebra. Here, we refer to these letters as variables.
Variables and constants can both be used in an algebraic expression. A coefficient is any value that is added before a variable and then multiplied by it.
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Which transformation results in the function, I would also like a explanation on how to do this.
The transformation that is results in the given function is a horizontal shrink of scale factor 1/4.
Which transformation results in function g(x)?Remember that for a function f(x), we define a horizontal shrink of scale factor k as:
g(x) = f(x*1/k)
Here we know that:
f(x) =x^2
g(x)= f(4x) = (4x)^2
Then this is equivalent to an horizontal shrink of scale factor of 1/4
Then the scale factor is k = 1/4, and the correct option is A.
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-2x+4y=17 + 3x-10y=-3
The values of x and y are -49/4 and -15/8 respectively for the given set of equations -2x + 4y = 17 and 3x - 10y = -3.
What is an equation?An equation is a combination of different variables, in which two mathematical expressions are equal to each other.
The given pair of equations,
-2x + 4y = 17 (1)
3x - 10y = -3 (2)
Multiply equation (1) with 3 and equation (2) with 2
-6x + 12y = 51 (3)
6x - 20y = -6 (4)
Add equation (3) and (4),
- 8y = 15
y = -15/8
Substitute the value of y in equation (1)
-2x + 4 (-15/8) = 17
-2x - 15/2 = 17
-2x = 49/2
x = - 49/4
The values of x and y for the given equations are -49/4 and -15/8 respectively.
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For the given equation the value of x and y will be 15/4 and 17/8 respectively
What is the equation?An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.
It is given that, the equations are,
-2x+4y=17 -------(1)
3x-10y= -3
The value of x from equation 1 is,
-2x+4y=17
x=(17-4y)/2 -------(2)
Substitute the value of x in equation 2,
3x-10y=-3
3(17-4y)/2-10y= -3
y=17/8
The value of x is obtained as,
x=15/4
Thus, for the given equation the value of x and y will be 15/4 and 17/8 respectively
The question is incomplete the complete question is"solve the linear equation -2x+4y=17, 3x-10y=-3
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1. The quotient of and three increased by 10 is 16) What is.x?
The equivalent value of the [x] that satisfy the given statement is 18.
What is equation modelling?Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis of the given problem.
Given is the statement -
the quotient of a number and three increased by 10 is 16
The given mathematical statement is -
the quotient of a number and three increased by 10 is 16
Assume the number to be [x]. Then, we can write -
(x/3) + 10 = 16
x/3 = 16 - 10
x/3 = 6
x = 6 x 3
x = 18
Therefore, the quotient of 18 and three increased by 10 is 16.
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Write an equation of the line that passes through $\left(-1,\ 3\right)$ and is parallel to the line $y=-3x+2$ .
The equation of the line that passes through point (-1, 3) and parallel to line y = 3x + 2 is
y = 3x + 4How to find the line that passes through point point (-1, 3)As a parallel line part of the qualities include that the slopes of the lines are equal
The equation of line is y = 3x + 2
The slope intercept form of the form as
y = mx + c
where
m = slope
c = intercept
x = input variables
y = output variables
Line has slope, m = 3, a new parallel line of slope 3 passing through point (-1, 3)
(y - y₁) = m (x - x₁)
y - 3 = 3 (x - -1)
y = 3x + 1 + 3
y = 3x + 4
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what is the period of the function h(x) = 5sin(4x-2) -3
Step-by-step explanation:
[tex]5 \sin(4(x - \frac{1}{2} ) ) - 3[/tex]
Period is b/2pi
Which is
[tex] \frac{4}{2\pi} [/tex]
[tex] \frac{2}{\pi} [/tex]