The ratio of girls to boys in a class is 5 to 4 if there are 20 boys then how many total students are in class

The solution to the system of equations is (x, y) = (-261/47, 44/47) as an ordered pair.

To solve the given system of equations:

Equation 1: 8x + 9y = -36

Equation 2: x + 7y = 1

We can use the method of substitution or elimination to find the values of x and y. Let's use the method of substitution:

From Equation 2, we can solve for x:

x = 1 - 7y

Substituting this value of x into Equation 1:

8(1 - 7y) + 9y = -36

8 - 56y + 9y = -36

-47y = -44

y = 44/47

Substituting the value of y back into Equation 2 to find x:

x + 7(44/47) = 1

x + 308/47 = 1

x = 1 - 308/47

x = (47 - 308)/47

x = -261/47

Therefore, as an ordered pair, the solution to the system of equations is (x, y) = (-261/47, 44/47).

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The angle measure that belongs in the green box is given as follows:

70.67º.

We consider a triangle with side lengths and angles related as follows, as is the case for this problem:

Then the lengths and the sines of the angles are related as follows:

sin(A)/a = sin(B)/b = sin(C)/c.

The relation for this problem is given as follows:

sin(x)/12  = sin(76º)/12.34

Applying cross multiplication, the missing angle measure is given as follows:

sin(x) = 12 x sine of 76 degrees/12.34

sin(x) = 0.9436.

x = arcsin(0.9436)

x = 70.67º.

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To calculate how much Naruto spends on ramen in 15 days, we need to determine the total cost of ramen per day and then multiply it by 15.

Since Naruto receives a 33.33% discount, he pays 100% - 33.33% = 66.67% of the original price.

66.67% of 45 cents is (66.67/100) * 45 = 30 cents.

So, Naruto spends 30 cents on ramen per day.

To find out how much he spends in 15 days, we multiply the daily cost by the number of days:

30 cents * 15 = 450 cents.

Therefore, Naruto spends 450 cents, which is equivalent to $4.50, on ramen in 15 days.

The surface area of the rectangular prism in this problem is given as follows:

A. 426 m².

The surface area of a rectangular prism of height h, width w and length l is given by:

S = 2(hw + lw + lh).

This means that the area of each rectangular face of the prism is calculated, and then the surface area is given by the sum of all these areas. -> net method.

The dimensions for this problem are given as follows:

5 m, 12 m and 9 m.

Hence the surface area of the prism is given as follows:

S = 2(5 x 12 + 5 x 9 + 12 x 9)

S = 426 m².

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Answer:

A

Step-by-step explanation:

(6.2).10=120cm²

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The linear function with the greatest rate of change is f(x) = 2x

The general linear function can be written in the following way.

y = ax + b

a is the slope or rate of change, and b is the y-intercept.

From the given options, the line with the greatest rate of change is the one that grows the fastest, and we can see that the equation for that line is:

y = 2x

So that is the correct option.

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The probability that the couple will have 3 normal girls is approximately 0.422

Since both parents are normal, they both have to be heterozygous carriers for the recessive allele that causes albinism. We can represent the normal allele with the letter N and the albino allele with the letter n. Then, we can write the genotypes of the parents as Nn x Nn.

The daughter is albino, so her genotype must be nn. The son is normal, so his genotype must be Nn.

We want to find the probability that the couple will have 3 normal girls. We can use the multiplication rule of probability to find this probability:

P(3 normal girls) = P(normal girl) x P(normal girl) x P(normal girl)

The probability of having a normal girl is 3/4 since there are three possible genotypes that result in a normal phenotype (NN, Nn, Nn) out of a total of four possible genotypes. The probability of having a normal boy is also 3/4, for the same reason.

Therefore, the probability of having 3 normal children (in this case, girls) is:

P(3 normal girls) = (3/4) x (3/4) x (3/4) = 27/64 ≈ 0.422

So, the probability that the couple will have 3 normal girls is approximately 0.422, or about 42.2%.

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Answer:

1/3

Step-by-step explanation:

6x=2

x= 1/3

Answer:

1 kilo takes 20 minutes

Step-by-step explanation:

6kilo in 2hrs

3kilo in 1 hr

1hr = 60min

3kilo/3 = 1 kilo

60min/ 3 = 20 min

1 kilo * 6 = 6kilo

20min * 6 = 120min ( 2 hours )

Daniella: Were you thinking of perpendicular lines?

Ori: It seems like you've got the basic idea, but your definition could be more precise.

Kaori: Yes! Well done. Here, have a cookie. You've earned it.

Answer:

a

Step-by-step explanation:

5/3 is 1.6666667

8/5 is 1.6

therefore 5/3 > 8/5

The maximum volume of the cylinder is approximately 1257 cubic centimeters.

The volume V of a right circular cylinder with radius r and height h is given by:

V = πr²h

Substituting the given expressions for the radius and height of the cylinder, we get:

V = πx²(800/πx - x)

Simplifying the expression, we get:

V = 800x - πx³

To find the maximum value of V, we need to find the value of x that maximizes V. We can do this by taking the derivative of V with respect to x, setting it equal to zero, and solving for x:

dV/dx = 800 - 3πx² = 0

3πx² = 800

x² = 800/3π

x ≈ 6.43

Substituting this value of x back into the expression for V, we get:

V ≈ 1257

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Donald  has a higher three-game series score.

In statistics, the standard score is the number of standard deviations by which the value of a raw score is above or below the mean value of what is being observed or measured. Raw scores above the mean have positive standard scores, while those below the mean have negative standard scores.

here, we have,

Given that :

BRUCE :

score (x) = 500

League average (m) = 620

Standard deviation (σ) = 20

DONALD:

score (x) = 520

League average (m) = 625

Standard deviation (σ) = 25

Take standardized score of both Bruce and Donald

BRUCE:

Zscore = (x - m) / σ

Zscore = (500 - 620) / 20

Zscore = - 120 / 20

Zscore = - 6

DONALD:

Zscore = (x - m) / σ

Zscore = (520 - 625) / 25

Zscore = - 105 / 25

Zscore = - 4.2

Bruce's standardized score is lesser Than Donald's.

Hence, Donald has a higher three-game series score.

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Answer:

the answer is D The slope is -4 and the y-intercept is 2

Step-by-step explanation:

the equation use is y=mx+b slope repusents M and the y-intercept repusents B hope this helps you out

Length of scarf before unraveling = 4.75 + 0.75 = 5.5.

Equation: Length before unraveling = 4.75 + 0.75

Sadie is knitting a striped scarf for her grandfather for his birthday, but discovers a mistake and has to unravel 0.75 of the scarf. After unraveling, the remaining part of the scarf is 4.75 long. To calculate the length of the scarf before it was unraveled, we can use an equation. The equation we will use is Length before unraveling = 4.75 + 0.75. We can interpret this equation as the length before unraveling being equal to the length after unraveling plus the amount unraveled. Therefore, the length of the scarf before unraveling is 4.75 + 0.75, which is equal to 5.5. This equation is useful for finding the original length of the scarf, as it takes into account the amount that was unraveled. Therefore, the original length of the scarf is 5.5.

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Answer:

A,E

Step-by-step explanation:

Operation: Minus

To find how far Sam ran, we need to subtract 2.3 from Dean's distance of 6.8 km.

6.8 km - 2.3 km = 4.5 km

Therefore, Sam ran 4.5 km, since Dean ran 2.3 km fewer than Sam.

Answer:

a and e

Step-by-step explanation:

got it right on homework

Answer:

Step-by-step explanation:

V = 1/3 * pi * r^2 * h

r = ?

pi = 3.14

h = 17 cm

3*V = pi * r^2 h = r^2    Divide by pi

3*V/pi = r^2 h  = r^2     Divide by h

3*V/(pi*h)         =r^2      Take the square root of the left to get just  r

sqrt(3*V/(pi*h))  = r         Now solve the equation.

sqrt(3*538.25 /(3.14*17)) = r

sqrt(1614 / 53.38) =

r = sqrt(30.24)

r = 5.493

Option D is correct, y≥3/4x+10  and y≥-1/2x-3  are the system of inequalities of the given graph

Let us find the equations of the lines

y=3/4x+10

and y=-1/2x-3

A relationship between two expressions or values that are not equal to each other is called 'inequality.

As we observe the two lines, the lines are solid

y=-1/2x-3

y=3/4x+10 the shading is outside the origin

y≥3/4x+10

and  y=-1/2x-3 the shading is outside the origin

y≥-1/2x-3

Hence, option D is correct, y≥3/4x+10  and y≥-1/2x-3  are the system of inequalities of the given graph

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The number of weeks that Vanessa ran for the number of miles given would be = 24 weeks

The amount of distance that Vanessa covers for a week = 4 miles

The amount of weeks it will take for her to cover 96 moles would be = ?

That is;

1 week = 4 miles

X weeks = 96 miles

Make X the subject of formula;

X = 96× 1/4

= 24 weeks

Therefore Vanessa will be able to cover 96 miles in only 24 weeks.

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One angle measure provided (27 degrees), to determine the lengths of the sides or the measures of the other Angles.

The triangle, we need more information about the triangle, such as the lengths of the sides or the measures of other angles. The given information, "27 degrees," only specifies one angle of the triangle, but it is not sufficient to solve the triangle completely.

To solve a triangle, we typically need at least three pieces of information, which can include side lengths, angle measures, or a combination of both. With only one angle measure provided (27 degrees), we are unable to determine the lengths of the sides or the measures of the other angles.

To fully solve the triangle, we would need additional information such as the lengths of the sides or measures of at least two more angles. Without this additional information, it is not possible to provide a complete solution or determine the lengths of the sides or the measures of the other angles in the triangle.

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Hey there,

Solve the equation:

x = 4 ✅

3x - 4 = 8

>> Add 4 to both sides :

3x - 4 + 4 = 8 + 4

3x = 12

>> Divide both sides by 3 :

3x/3 = 12/3

Therefore, your answer is x = 4

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Answer:

x = 4

Step-by-step explanation:

Given equation:

To determine the value of "x", we need to isolate the "x" variable and it's coefficient. This can be done by adding 4 to both sides of the equation.

The next step in determining the "x" variable is to isolate the coefficient from the "x" variable. This can be done by dividing 3 both sides of the equation.

Therefore, the solution (x) is 4.

The equation for the first option would be

Where "x" is the number of copies and y the cost.

The second equation will be

If we graph both equations we have

As we can see, they will be equal in terms of cost with 2 copies. The cost will be 50.

We can see it at the intersection of the two graphs! we can also do it with algebra, if the costs are equal (same "y") we can say

The number of copies is 2.

The percent of the box that will remain unwrapped by the 60 square feet of paper is about 20.70%

A percentage is a proportion of a number expressed as fraction of a 100

The dimensions in mixed fractions can be expressed as follows;

Height of the box = 1 2/3 feet = 5/3 feet

Width of the box = 4 feet

Length of the box = 5 1/2 feet = 11/2 feet

Surface area of the box, A = 2 × (5/3) × 4 + 2 × 4 × 11/2 + 2 × (5/3) × 11/2 = 227/3 = 75 2/3 square inches

The percent of the box that will remain unwrapped is therefore;

Percentage = 60/(227/3) × 100 ≈ 79.3%

The percentage of the box that will remain unwrapped is about (100 - 79.3)% = 20.70%

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Answer:

$3283.2

Step-by-step explanation:

Given data

Principal= $2700

Rate= 4%

Time= 5 years

Required

the final Amount A

The compound interest formula is

A=P(1+r)^t

Substitute

A=2700(1+0.04)^5

A=2700(1.04)^5

A=2700*1.216

A=$3283.2

Hence the balance in the account after 5 years is $3283.2

The value of the rational expression when x is equal to 4 is 2. The correct answer is option C: 2.

To find the value of the rational expression (x - 12)/(x - 8) when x is equal to 4, we substitute x = 4 into the expression:

[(4) - 12]/[(4) - 8]

Simplifying the numerator and denominator:

(4 - 12)/(-4)

Further simplifying the numerator:

(-8)/(-4)

Now, we can divide -8 by -4:

(-8)/(-4) = 2

So, when x is equal to 4, the value of the rational expression is 2.

Therefore, C is the right response.

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The required polynomial of degree n = 5 with zeros at x = −1, 8, 9, and 5 is p(x) = (1/360)(x + 1)(x - 8)(x - 9)(x - 5).

To find a polynomial of degree n = 5 with zeros at x = −1, 8, 9, and 5, we can use the fact that a polynomial with these zeros can be expressed as the product of linear factors. We have:

p(x) = a(x + 1)(x - 8)(x - 9)(x - 5)

where a is a constant coefficient to make the degree of the polynomial equal to 5.

To determine the value of a, we can use the fact that the leading coefficient of the polynomial is 1. Therefore:

1 = a * (1) * (-8) * (-9) * (-5)

Simplifying the equation:

1 = 360a

Solving for a:

a = 1/360

Therefore, the polynomial of degree n = 5 with zeros at x = −1, 8, 9, and 5 is p(x) = (1/360)(x + 1)(x - 8)(x - 9)(x - 5).

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There are 900 whole numbers less than 270000 that end with the digits 2014.

To determine the number of whole numbers less than 270000 that end with the digits 2014, we need to consider the range of numbers that satisfy this condition.

The number must have the form XYZ2014, where XYZ represents any combination of digits from 0 to 9.

To find the possibilities for XYZ, we note that there are 10 choices for each digit (0-9), except for the last digit X, which cannot be zero since we want the number to be less than 270000.

So, for the first digit X, we have 9 choices (1-9).

For the second digit Y, we have 10 choices (0-9).

For the third digit Z, we have 10 choices (0-9).

Therefore, the total number of whole numbers less than 270000 that end with the digits 2014 is:

9 (choices for X) × 10 (choices for Y) × 10 (choices for Z) = 900

Hence, there are 900 whole numbers less than 270000 that end with the digits 2014.

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