The ratio of the number of girls to the number of boys was 2 to 5. If 2,450 students were present, how many were girls and how many were boys? (hint: try using a proportion to solve)


Girls =

Boys =

The credit card company calculated a finance charge of $7.66 on Ron's bill if the annual percentage rate is 18%.

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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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).

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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

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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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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.

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

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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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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Answer: 83 on the dot

Step-by-step explanation:83x4.50=373.50

The length of the side c is equal to 29.54 approximately to 2 decimal place, using the sine rule.

The 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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Answer:

g(x) = |x-4| + 3

$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 -

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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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.

The equation which models the distance of the turtle from the pond is q = 26.2 + 3.5p. Option D. is the answer

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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Answer:

Step-by-step explanation:

answer for 1 & 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]

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).

Expressions that represent the total cost of the field trip is

0.8{10x + 20y}.

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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To convert the fraction 2 8/10 to a decimal, divide the numerator (8) by the denominator (10):

Then, add the integer part (2) to the result:

Therefore, the decimal representation of 2 8/10 is 2.8.

Answer:

Step-by-step explanation: with what????????????????????

Answer:

theres no image?

Step-by-step explanation:

The equivalent value of the [x] that satisfy the given statement is 18.

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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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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Car A is travelling at a faster rate than Car B because its line on the graph is  steeper.

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.

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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Answer:

3√3?

Step-by-step explanation:

Answer:

so I think the anwerst it all jedi younglings

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.

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The transformation that is results in the given function is a horizontal shrink of scale factor 1/4.

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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Answer:

Step-by-step explanation:

Length of side AB=a=10.75cm

The probability that the card is a king and a black card is 1/26.

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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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

The equation of the line that passes through point (-1, 3) and parallel to line y = 3x + 2 is

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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