There are 100 students in Year 10.
Each student studies exactly one of French, German, and Spanish.
X girls study French and there are 3X girls in total.
2Y boys study German.
There are 35 students studying Spanish of which Y are boys.

Which of the following is an expression for the total number of students studying German?

Answers

Answer 1

The expression which correctly represents the number of students studying German as required is; 3y + 2x -35.

Which expression correctly represents the number of students studying German?

It follows from the task content that the number of students studying German be determined from the given information.

Therefore since the total number of students is; 100.

35 students study Spanish of which y are boys, therefore, the number of girls studying Spanish is; (35 - y).

Also, since there are 3x girls in total and x of which study French, the remaining 2x study Spanish and German.

Hence, the number of girls who study German is; 2x - (35 - y).

Therefore, the total number of students (boys and girls) who study German is; 2y + 2x - (35 - y).

= 3y + 2x -35.

Ultimately, the total number of students who study German are; 3y + 2x -35.

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Related Questions

!!!EASY!!!!
.
.
!!PLEASE HELP THE IMAGE IS BELOW!!

!!!EASY!!!!..!!PLEASE HELP THE IMAGE IS BELOW!!

Answers

Step-by-step explanation:

The area of triangle =

4*3/2=6

The area of Rectangle=

7*4=28

The total =

28+6=34

Use the working backward method to find the solution of the equation.
4y - 5= 31
y =

Answers

Y = 9

4y-5+5=31+5
4y=36
y=36/4
y=9


Nadine has a plastic container in the shape of a prism that is filled with beads. The container has a length of 6 inches, a width of 8 inches, and a height of
5 inches
The container has a crack, so she needs to move all of the beads to new containers that are also rectangular prisms. Determine which sets of containers she could use for
the beads.
Select Yes or No for each set of containers.

Nadine has a plastic container in the shape of a prism that is filled with beads. The container has a

Answers

Answer:

BTW C= containers and AC = area of all the containers all together.

Step-by-step explanation:

So first off you calculate the area of the container that had a crack so its

Width X Length X height    |   6 x 8 x 5 = 240

So then you look at the possible answers and then calculate the area of those   plastic containers. So then you start with the first one and it would be like this

First possible answer: 3 and 1/3  x 6 x 5 = 100 x 3c = 300ac

Second possible answer: 2 and 1/4 x 4 and 3/4 x 6 = 64.125 x 4c = 256.5ac

Third possible answer: 3.5 x 6.5 x 6 = 136.5 x 2c = 273ac

Fourth possible answer: 3 and 1/2 x 3 and 1/4 x 5 = 56.875 x 5c = 284.375ac

Hopefully this will help you find your answer!! I tried my best!! Please give brainly!!

Which number is greater explain 1/5 or 0.50 plss help

Answers

Answer:

1/2 or 0.5 is greater than 1/5

0.5=5/10
The common denominator is 10
That would make 1/5 2/10
5/10 is greater than 2/10 therefore 0.5 is greater

calculate the solar flux density (also known as the solar constant) for mercury using the following information: solar luminosity = 3.865 x 10^26 w distance of mercury from the sun = 5.791 x 10^10 m

Answers

Therefore, the solar flux density for mercury after the calculation is 9.12 x 10⁻³ W/m².

The solar flux density also referred to as the solar constant is the total amount of energy derived from the sun per unit area per given unit of time. It is considered to be equal to solar luminosity divided by the surface area of a given sphere that has a radius equivalent to the distance between the respective planet from the sun.

using the formula for finding the solar flux density,

solar flux density =  solar luminosity /(4 x π x distance between mercury and the sun)

solar flux density =  3.865 x \(10^{26}\) /(4 x π x ( 5.791 x \(10^{10}\)))

solar flux density = 9.12 x 10⁻³ W/m²

Therefore, the solar flux density for mercury after the calculation is 9.12 x 10⁻³ W/m².

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The registration fee for a used car is 0.8% of the sale price of $5,800. How much is the fee?

Answers

The registration fee for a used car is 0.8 percent of sale price price os $5800 is $46.4.

Given the registration fees is the 0.8 percentage of the sale price then the registration fees is :

fees = 0.8% of $5,800,

fees = 5800 * 0.8/100,

fees = 58*0.8,

fees =  $46.4

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A ramdom sample of people are asked to give a taste score to two different types of ice cream. The two types of ice cream have identical formulas except they differ in the percentage of sugar in the ice cream What values could be used to complete the table so that it suggests there is an association between taste scores and percentage is sugar.

Answers

The values that could be used to complete the table so that it suggests there is an association between taste scores and percentage of sugar are: 299 and 158.

How to determine the associations

To determine the association between the values, we need to observe the pattern for the 12% sugar column. We can find the relationship between the variables as follows:

0.12 = 239

0.15 = x

x = 0.15 * 239/0.12

x = 299 for low taste

Also, 0.12 = 126

         0.15 = x

x = 0.15 * 126/0.12

x = 158 for high taste

Thus, we can identify an association between the taste scores and the number of respondents.

Complete question:

In the table, we have a column for 12% sugar and 15% sugar. Also, there are two rows for low taste score and high taste score. Under 12% sugar, we have 239 for low-taste score and 126 for high-taste score.

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The difference of the square of a number and 21 is equal to 4 times that number. Find
the negative solution.

Answers

Answer:

-3

Step-by-step explanation:

Let the number be x.

x^2 - 21 = 4x

x^2 - 4x - 21 = 0

(x - 7)(x + 3) = 0

x - 7 = 0 or x + 3 = 0

x = 7 or x = -3

Answer: -3

Answer:

-3

Step-by-step explanation:

I got it right

solve for b: -3b-6=18​

Answers

Answer:

b= -8

Step-by-step explanation:

Answer:

-8

Step-by-step explanation:

-3b - 6 = 18

      +6    +6

     -3b =​ 24

  -3b/-3 = 24/-3

          b = -8

What is the solution of s

What is the solution of s

Answers

Answer:

s = 4

Step-by-step explanation:

2/3s - 2/3 = s/6 +4/3

Multiply each side by 6 to get rid of the fractions

6*(2/3s - 2/3) = 6*(s/6 +4/3)

4s - 4 = s +8

Subtract s from each side

4s-4 -s = s+8-s

3s-4 = 8

Add 4 to each side

3s-4+4 = 8+4

3s = 12

Divide each side by 3

3s/3 = 12/3

s = 4

Abigail picked 72 pears. Sandeep picked p fewer pears than Abigail. Choose the expression that shows how many pears Sandeep picked.

Answers

Answer:

72-p=(the number of pears sandeep picked)

Step-by-step explanation:

Answer:

72 - p

Step-by-step explanation:

When it says a number fewer, that means to put it behind rather than in the front.

Find the surface area of the right rectangular prism shown below. units²

Find the surface area of the right rectangular prism shown below. units

Answers

Answer:

67 units^2

Step-by-step explanation:

The surface area of the prism is found by

SA = 2 ( lw+lh + wh)

     = 2 ( 5*1.5+ 4*1.5 + 5*4)

     = 2 ( 7.5+6+20)

     = 2 (33.5)

    = 67

Answer:

67units²

Step-by-step explanation:

How much would Haiti’s balance be from account two over 3.4 years round to two decimal place

How much would Haitis balance be from account two over 3.4 years round to two decimal place

Answers

Solution:

Given:

Account 2 details:

Assume a year is 365 days;

\(\begin{gathered} P=\text{ \$}8100 \\ t=3.4years \\ r=5.1\text{ \%}=\frac{5.1}{100}=0.051 \\ n=365days \end{gathered}\)

Using the compound interest formula to get the amount;

\(A=P(1+\frac{r}{n})^{nt}\)

Hence, substituting the values;

\(\begin{gathered} A=8100(1+\frac{0.051}{365})^{365\times3.4} \\ A=8100(1+\frac{0.051}{365})^{1241} \\ A=9633.55 \end{gathered}\)

Therefore, the balance in account 2 will be $9633.55

What is the surface area of each figure? Round to the nearest tenth if necessary.

What is the surface area of each figure? Round to the nearest tenth if necessary.

Answers

Answer:

370m²

Step-by-step explanation:

2x11x6=132

2x7x6=84

2x11x7=154

132+84+154=370m²

() A bookmark has an area of 160 square centimeters. Its perimeter is 56 centimeters.
What are the dimensions of the bookmark?

Answers

The dimensions of the bookmark is 14cm.

What is area and perimeter of square?

The perimeter of a shape is the space surrounding it. Space inside a shape is measured by area. Learn how to compute the area and perimeter of various forms. The perimeter of a square is equal to four times the length of its side, and its area is equal to the square of that length. As a result, the square's perimeter will be as follows: perimeter = 4 x side = 4 area units. As a result, given a square's size, we can determine its perimeter.

Given data

Area = 160cm

Perimeter = 56

Area = side²

Perimeter = 4(a)

Putting values in perimeter

Perimeter = 4a

56 = 4a

a = \(\frac{56}{4}\)

a = 14

The dimensions of the bookmark is 14cm.

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son 9.2
Find the surface area of the prism.
11.
10.
3 in.
6 in.
8 yd
2 in.
-3.5 cm
10 cm
5 ft
5 ft
Find the surface area of the cylinder. Round your answer to the
nearest whole number.
13.
-2 yd
14.
5 ft
16. A soup can is shown below. Find the surface area of the can.
Round your answer to the nearest whole number.
12.
9 cm
15.
15 cm
12 cm
3 mm
12 mm
3 cm

Answers

In order to calculate the surface area of a prism, it is necessary to sum up the areas of all its sides. One can obtain this number by using the ensuing formula:

Surface Area = 2B + Ph

What does the variables represent?

The value B represents the area of the base of the prism, P refers to the perimeter, and h pertains to its height. To find the amount of space on the outside of a cylinder, one needs to add up the areas of its curved exterior, along with both circular tops.

The following method may be employed for such a computational process:

Surface Area = 2πr² + 2πrh

In this context, r indicates the radius of the circular foundation, whereas h denotes its altitude measurement.

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There is a bag full of red, yellow, and green marbles. There are 3 red, 2 yellow, and 7 green. What is the probability of getting a yellow? (fraction and percentage pls)

Answers

Answer:

1/6 and 16.67

Step-by-step explanation:

Add all the marbles, you get 12.

There's 2 out of 12 yellow marbles so you get 2/12

2/12 simplified to 1/6

So 1/6 is the probability as a fraction

Now to get the percentage just divide 100 by 6.

100/6 equals 16.67

Since it's 1/6 we multiply that by one

16.67 times 1 equals 16.67

Using determinant, find the area of the triangle whose vertices are :
(−3,5),(3,−6) and (7,2).

Answers

The area of the triangle whose vertices are (-3, 5), (3, -6), and (7, 2) is 14.

To find the area of a triangle given the coordinates of its vertices, we can use the formula:

Area = 1/2 * |(x1y2 + x2y3 + x3y1) - (y1x2 + y2x3 + y3x1)|

where (x1,y1), (x2,y2), and (x3,y3) are the coordinates of the three vertices.

Substituting the given coordinates, we get:

Area = 1/2 * |(-3*-6 + 32 + 75) - (5*3 - (-6)7 + 2(-3))|

= 1/2 * |(-18 + 6 + 35) - (15 + 42 - 6)|

= 1/2 * |23 - 51|

= 1/2 * |-28|

= 14

Therefore, the area of the triangle is 14 square units.

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The equation 3x^2-24x=-56
is rewritten in the form
3(x-p)^2+q=0
What is the value of P

Answers

Answer:The answer

Step-by-step explanation:

pls pls do this it is very important

pls pls do this it is very important

Answers

Answer:

6x+3+2x+8

6x+2x+3+8

8x+11x

Can anyone solve this correctly?

Can anyone solve this correctly?

Answers

Answer:

21.06 square feet

Question 10 of 10
Which of the following choices are equivalent to the expression below?
all that apply.

8^8/5

Question 10 of 10Which of the following choices are equivalent to the expression below?all that apply.8^8/5

Answers

Answer:

C and D

Step-by-step explanation:

exponent of an exponent means

they got multiplied

x^m/n = nth root of x^m

x^8/5 means

(x^8)^1/5 or

5th root of x to the 8th power

x^1/5 is the

5th root of x^8

mthwaycom

in a pitch black room you have a drawer with 27 black socks, 18 grey socks, and 9 navy socks. how many socks do you take out to ensure you get a pair that is not navy?

Answers

There is a 5/6 probability that you will remove pairs of socks to make sure you obtain a pair that is not navy.

What is probability?

Simply put, the probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes.

Statistics is the study of events that follow a probability distribution.

So, we know that:

27 black socks.

18 grey socks.

9 navy socks.

Probability formula: P(E) = Favouravle events/Total events

Now, insert values in the formula as follows:

P(E) = Favouravle events/Total events

P(E) = 27+18/27+18+9

P(E) = 45/54

P(E) = 15/18

P(E) = 5/6


Therefore, there is a 5/6 probability that you will remove pairs of socks to make sure you obtain a pair that is not navy.

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Correct question:
in a pitch-black room, you have a drawer with 27 black socks, 18 grey socks, and 9 navy socks. What is the probability that you take out pairs of socks to ensure you get a pair that is not navy?

If the sample data points are very close to the estimated regression line, then (Choose ALL the right answers.)
a. The slope will be a very big positive number.
b. It is likely to be a decreasing line.
c. The standard error is likely to be small.
d. The R square will tend to be high.
e. The line will look very ugly.

Answers

If the sample data points are very close to the estimated regression line, then standard error is likely to be small and R square will tend to be high. So, correct options are C and D.

Firstly, the slope of the regression line may not necessarily be a very big positive number. The slope of the line depends on the relationship between the independent and dependent variables, and how the dependent variable changes with a unit change in the independent variable.

If the data points are closely packed around the line, it means that the slope is more likely to be a moderate or small number.

Secondly, it is unlikely that the line will be decreasing, as the regression line is usually a straight line that shows the average relationship between the independent and dependent variables.

Thirdly, if the data points are very close to the estimated regression line, then the standard error is likely to be small. This means that the estimated regression line is a good fit for the data and the observed values are close to the predicted values.

Fourthly, the R square will tend to be high if the data points are close to the estimated regression line. R square is a measure of how well the regression line fits the data points, and if the data points are close to the line, then the R square will be higher.

Lastly, if the data points are very close to the estimated regression line, then the line is likely to look visually appealing and not "ugly." The regression line is a summary of the data and should be a good representation of the observed relationship between the variables.

So, correct options are C and D.

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Q 42 - The proportion of salary of An and B is 5:3 and that of their use is 9:5. On the off chance that they spare Rs. 2600 and Rs. 1800, then their livelihoods are: A-9000, 5400 B-10000, 6000 C-6000, 3600​

Answers

Answer: Let's solve this problem step by step.

First, let's assume the salaries of An and B to be 5x and 3x, respectively, where x is a common multiplier.

According to the given information, they save Rs. 2600 and Rs. 1800, respectively. Since savings come from the remaining portion of their incomes after spending, we can calculate their expenditures as follows:

For An:

Income of An = Salary of An + Savings of An

Income of An = 5x + 2600

For B:

Income of B = Salary of B + Savings of B

Income of B = 3x + 1800

Now, let's consider the proportion of their expenditures. It is given that the proportion of their expenditures is 9:5. So, we can write the following equation:

(Expenditure of An)/(Expenditure of B) = 9/5

Since expenditure is the complement of savings, we have:

[(Income of An - Savings of An)] / [(Income of B - Savings of B)] = 9/5

Substituting the previously derived expressions for income, we get:

[(5x + 2600 - 2600)] / [(3x + 1800 - 1800)] = 9/5

Simplifying the equation, we have:

5x / 3x = 9/5

Cross-multiplying, we get:

5 * 3x = 9 * 3x

15x = 27x

Subtracting 27x from both sides, we have:

0 = 12x

This implies that x = 0, which is not a valid solution. Therefore, there seems to be an error or inconsistency in the given information or equations. Please recheck the problem statement or provide additional information to help resolve the issue.

565, 961, 867, 517, 627, 714, 517, 728

What is the range of these areas in square feet?

Answers

Answer:

No Clue

Step-by-step explanation:

EMERGENCY PLS HELP: What is the area of the triangle?

EMERGENCY PLS HELP: What is the area of the triangle?

Answers

Answer:

A=60

Step-by-step explanation:

A=l*w

A=12*5=60

Answer: The Area of the right triangle is 30(unit of measurement?)

Step-by-step explanation:

To find the area of a right triangle we need to use this formula

A=1/2·base·height

So A=1/2·5·12

Then we get A=1/2·60

So A=30

question is link so do that.

question is link so do that.

Answers

Answer:

90

Step-by-step explanation:

180 divided by 2 is 90

expand o write an equavilent expression -1/4(-8x + 12y).

Answers

Answer:

\(2x-3y\)

Step-by-step explanation:

Apply the distributive property by multiplying the outside to both terms on the inside:

\(-\frac{1}{4}\) of -8x is equal to 2x

\(-\frac{1}{4}\) of 12y is equal to 3y.

the average of 8 girls is 15 and the average of 6 girls is 13 find the average of the other two girls with equal age​

Answers

Answer:

21

Step-by-step explanation:

Since the girls have the same age, let their age be x.
Then, their average is

\(\frac{x+x}{2} = \frac{2x}{2} = x\)

Let \(S_{i}\) denote the age of 'i' girls.
Then, \(S_{8} = S_{6} + x + x - eq(1)\)

Also, we have,

\(\frac{S_{8}}{8} =15 - eq(2)\)

\(\frac{S_{6}}{6} =13 - eq(3)\)

Then eq(2):

(from eq(1) and eq(3))

\(\frac{S_{6} + 2x}{8} =15\\\\\frac{13*6 + 2x}{8} = 15\\\\78+2x = 120\\\\2x = 120-78\\\\x = 21\)

The average of the other two girls with equal age​ is 21

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