4 schools sent students to a languages course.
One of the schools sent both French and German students.
The ratio of French to German students it sent was 1 : 3
The school sent 21 German students.
The other 3 schools sent the same number of students.
Work out the total number of students sent to the languages course.

Answers

Answer 1

The first school sends 3 times as many German students as French students, so if they send 21 German students, they must also be sending 21/3 = 7 French students. The first school then sends a total of 21 + 7 = 28 students.

The other 3 schools send the same number of students. There are 4 schools, so the total number of students is 4 × 28 = 112.


Related Questions

!!!!!!HELP ASAP!!!!!!!
An archer is shooting at targets. The height of the arrow is 5 feet above the ground. Due to safety rules, the archer must aim the arrow parallel to the ground. Write a function that represents the situation . Use h, for height ( feet) and for time (in seconds )

Answers

Answer:

The time to hit the target is simply the period the arrow gets to the target from the arch.

The time to hit the target is 0.35 seconds

9) What is the area of the triangle?
A) 66 yd?
B) 132 yd?
C) 136 yd
D) 272 yd

Answers

Answer:

C) 136 yd²

Step-by-step explanation:

[tex]\textsf{\large Area of a triangle:}\ \dfrac{1}{2}\cdot b \cdot h[/tex]

Given:

Base: 16 yd.Height: 17 yd.

Substitute the given values into the formula.

[tex]\begin{aligned}A\triangle&=\dfrac{1}{2}(16)(17)\\ &=8(17)\\&=\boxed{136}\end{aligned}[/tex]

The area of the triangle is 136 yd².

if -2a > 6 then a < -3 true or false

Answers

Answer:

True

Step-by-step explanation:

To solve it you divide both sides by -2, which flips the inequality sign around.

c. help please i need asap

Answers

Hope this helps!


Answer:

Compare the decimal numbers 0.447 and 0.474

Answers

Answer:

0.027

Step-by-step explanation:

0.474 - 0.447

= 0.027

Answer:

0.027 or 0.447 is greater than 0.474

Step-by-step explanation:

Find the difference 8 1/6 - 5 5/6

Answers

[tex] \sf \looparrowright \: 8 \frac{1}{6} - 5 \frac{5}{6} [/tex]

Convert the mixed fractions to improper fractions

Denominator × Integer + Numerator = Improper fractionThe Denominator remains the same as before

[tex] \underbrace {8\frac{1}{6} = \frac{6 \times 8 + 1}{6} = \frac{49}{6} }[/tex]

[tex] \underbrace {5\frac{5}{6} = \frac{6 \times 5 + 5}{6} = \frac{35}{6} }[/tex]

Now,

[tex] \sf \looparrowright \: \frac{49}{6} - \frac{35}{6} [/tex]

Write the numerators above the common Denominator 6

[tex] \sf \looparrowright \: \frac{49 - 35}{6} [/tex]

Calculate the difference

[tex] \sf \looparrowright \: \frac{14}{6} [/tex]

Reduce the fraction with 2

[tex] \sf \looparrowright \frac{7}{3} [/tex]

I need help on this ​

Answers

Answer:

Hi ma bruddah

Step-by-step explanation:

Hi - ma - bru/dd/ah

Answer:

A.

Since it says no more than and d doesn't have that sign so yes hope this helps :D

look at the graph .which is the relationship between x and y PLSSS HURRY (100 POINTS

Answers

Answer:

it is B

Step-by-step explanation:

Answer:

Option B

Step-by-step explanation:

It's a linear equation but not a parallel line to any axis

The general form is

y=mx+b

m is rate of change.

Hence y is directly proportional to x if m is kept constant

So option B is correct

1% off 100 =
Someone pls help

Answers

Answer:

1 ofc

Step-by-step explanation:

Think of it:

1% is pretty much [tex]\frac{1}{100}[/tex]

so the equal to that is 1

I hope this answers your question :) If you want to mark me as brainliest (its ok if not :) im just trying to get enough to unlock messages

Will name BRAINLEST!!

Determine the area of the given triangle.

Answers

Answer:

My answer is 8. I just rounded if you don't want to round just go with 7.5.

Answer:

7.5 units

Step-by-step explanation:

It is hard to explain...

Identify the solution set of 3 ln 4 = 2 ln x. {6} {-8, 8} {8}.

Answers

Answer:

x = 8

Step-by-step explanation:

3 ln 4 = 2 ln x

By using property of logarithm:

ln = ln

Cancel ln on both sides

=

64 =

x =

x = 8

The solution to the equation 3ln4 = 2lnx is {-8, 8}

Logarithmic expressions

Given the expression

3 ln 4 = 2 ln x.

We are to find the solution for the variable "x"

Applying the rule of logarithm, the equation will become:

ln4^3 = lnx^2

4^3 = x^2

x^2 = 64

x = 8 and -8

Hence the solution to the equation is {-8, 8}

Learn more on logarithm here: https://brainly.com/question/25710806

An isosceles trapezoid has base lengths 3.4 and 5.8. With the area of 7.36. What is the height and perimeter of the trapezoid.

Answers

Answer:

Height (h) = 1.6

Step-by-step explanation:

Area  of trapezoid = [(base1+base2)/2] * height

now we sub the values in the formula

7.36 = [(3.4+5.8)/2]* h

h= (7.36*2)/(3.4+5.8)

h = 1.6

round 691 513 to the nearest thousand​

Answers

[tex]691 \: 513 \: = > nearest \: to \: thousands \\ = > \: \: \: \: \: \: \: \: 692 \: 000[/tex]


What can you tell about a triangle when given three side lengths?

Answers

Check whether it is possible to have a triangle with the given side lengths for example 7,9,13 then add any two sides and see if it is greater than the other side. Example the sum of 7 and 9 is 16 and 16 is greater than 13

9.17% to the nearest degree​

Answers

Answer:

33°

Step-by-step explanation:

9.17% = 9.17/100

[tex]\dfrac{9.17}{100}*360=0.917*36=33.012[/tex]

= 33°

Answer:

33

Step-by-step explanation:

9.17÷100=0.0917/0.917

0.917×36=33.012

ASAP!! WILL GIVE BRAINLY!

Answers

Hi,

Based on this, I am not sure how close they want the number to be “8” but here is the work:

1.) 9
2.) 7
3.) 7
4.) 8
5.) 8

Most likely it is 4 and 5 but it could be others if they think it’s close to 8 thank you!

A card was selected at random from a standard deck of cards. The suit of the card was recorded, and then the card was put back in the deck. The table shows the results after 40 trials. What is the relative frequency of selecting a diamond?.

Answers

The relative frequency of selecting a diamond from 40 trials of selecting a random card is 30%.

What is relative frequency?

The relative frequency of an event is the ratio of total number of favorable or desired outcome to the total number of trails done.

Given information-

The card is selected random from the deck of cards.

Total number of trails is 40.

It is known that the total number of diamond card in a standard deck of card is 11. There is total 40 trials is done in which a random card is selected.

As the relative frequency is the ratio of total number of diamonds to the total number of trials done. Thus,

[tex]f_r=\dfrac{11}{40}\\f_r=0.3[/tex]

In the percentage from,

[tex]f_r={0.3}\times100\\f_r=30[/tex]

Thus the relative frequency of selecting a diamond from 40 trials of selecting a random card is 30%.

Learn more about the relative frequency here;

https://brainly.com/question/26177128

Answer:

20%

Step-by-step explanation: I took the test

I WILL REPORT IF ANY LINKS

Answers

Answer:

15$ a day would be the estimate for 1 day

Step-by-step explanation:

Part a)

The diagonal line goes through (0,15) and (2,20)

Find the slope based on those points

[tex](x_1,y_1) = (0,15) \text{ and } (x_2,y_2) = (2,20)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{20 - 15}{2 - 0}\\\\m = \frac{5}{2}\\\\m = 2.5\\\\[/tex]

The y intercept is b = 15 because this is where the line crosses the y axis.

We go from y = mx+b to y = 2.5x+15.

Now plug in x = 1 to find the cost of renting for one day.

y = 2.5x+15

y = 2.5*1+15

y = 17.5

Another way to get the answer is to start at 1 on the x axis number line. Draw a vertical line upward until you reach the curve. From there, draw a horizontal line toward the y axis (refer to the diagram below). You should land somewhere between 15 and 20. The midpoint of which is 17.50

Answer:  $17.50

=====================================================

Part b)

We can do the reverse idea of the previous part.

Start at y = 25 on the y axis. Draw a horizontal line toward the curve. After reaching the curve, draw a vertical line down until you hit the x axis. You should arrive at x = 4.

Or you can use the algebraic approach since we know the cost equation

y = 2.5x+15

25 = 2.5x+15 ... plug in y = 25

25-15 = 2.5x

10 = 2.5x

2.5x = 10

x = 10/(2.5)

x = 4

Answer: 4 days

Milo needs $225 for a new jaket. He already has $54. He earns $9 an hour working for his dad. The equation shows this relationship. How many hours does Milo
need to work for his dad in order to have enough money to purchase the jaket

Answers

He needs to work a little over 22 hours.
Given:Money needed to buy new jacket = $225Money he already has $54He earns per hour = $9

[tex] \\ \\ [/tex]

To find:-Total hours Milo need to work for his dad

[tex] \\ \\ [/tex]

Let :Total hours Milo need to work for his dad be x

[tex] \\ \\ [/tex]

Solution:

So as we know he already has $54

Actual Money needed = Money needed to buy new jacket – Money he already has

Actual Money needed =$225 - $54

Actual Money needed = $171

Equation formed to find value of x :-

[tex] \leadsto \sf9x = 171[/tex]

[tex] \\ [/tex]

[tex] \leadsto \sf x = \dfrac{171}{9} [/tex]

[tex] \\ \\ [/tex]

[tex] \leadsto \sf x = \dfrac{3 \times 3 \times 19}{9} [/tex]

[tex] \\ \\ [/tex]

[tex] \leadsto \sf x = \dfrac{ \cancel3 \times 3 \times 19}{ \cancel9} [/tex]

[tex] \\ \\ [/tex]

[tex] \leadsto \sf x = \dfrac{ \cancel3 \times 19}{ \cancel3} [/tex]

[tex] \\ \\ [/tex]

[tex] \leadsto \bf x = 19[/tex]

[tex] \\ \\ [/tex]

[tex]\therefore \underline {\textsf{\textbf{No. of hours required is equal to\red{ 19 hours}}}}[/tex]

Find the equation of the line passing through the point (4,−1) that is parallel to the line 2x−3y=9. Enter your answers below. Use a forward slash (i.e. "/") for fractions (e.g. 1/2 for 12).



Solution
Step 1: Find the slope of the line 2x−3y=9. Use a forward slash (i.e. "/") for all fractions (e.g. 1/2 for 12).

m= Answer

What would the parallel slope be?

m= Answer



Step 2: Use the slope to find the y-intercept of the parallel line.

b= Answer



Step 3: Write the equation of the line that passes through the point (4,−1) that is parallel to the line 2x−3y=9

y=________ x ___________

Answers

Line given

2x-3y=93y=2x-9y=2/3x-3

Comapre to y=mx+b

Slope=m=2/3

Parallel lines have equal slope

passes through (4,-1)

Equation in point slope form

y+1=2/3(x-4)3y+3=2x-82x-3y-11=0

Fantasy has 180 oranges. She decides to give her grandma 100 oranges. How many oranges will Fantasy have left?

Answers

Answer:

80

Step-by-step explanation:

Because, when you subtract 180 to 100 and you get 80

You deposit $2,500 in an investment


account. The rate of growth is 4.55% a year.


If you make no further deposits or


withdrawals, and the investment is allowed


to grow uninhibited, how long will it take for


your investment to reach $5,000? Round to


the nearest tenth.

Answers

Answer:

22 years

Step-by-step explanation:

the rate of the increase is $113.75 a year.

4.55% of 2500 = 113.75113.75 x 21.98 = 2500.2252500.225 + 2500 = 5000

So it would take if rounded 22 years to reach the goal of $5000.

Answer: The correct answer is "15.2 years"

Step-by-step explanation:

I took the test

36. What is the value of f(3) if f(x) = -4x + 2?
F -14
G-10
H-6
J 14

Answers

Answer:

G-10

Step-by-step explanation:

because i dont have time to expalin

The hypotenuse of a right triangle measures 16 cm and one of its legs measures 11 cm.
Find the measure of the other leg. If necessary, round to the nearest tenth.

Answers

Answer:

11.6cm

Step-by-step explanation:

a^2+b^2=c^2

11^2+b^2=16^2

121+b^2=256

b^2=135

b=11.6

Two trains leave the station at the same time, one heading east and the other west. The eastbound train travels 18 miles per hour slower than the westbound train. If the two trains are 570 miles apart after 3 hours, what is the rate of the eastbound train?

Answers

Formula: Distance = rate * time

570 = (R+(R-18))*3

570 = (2R - 18)*3

190 = 2R-16

208 = 2R

R = 104


Eastbound Train: 86mph

Westbound Train: 104mph

Consider the sequence: 6, 10, 14, 18, 22,. . . . For this sequence, what is a3? a3 =.

Answers

Answer:

14

Step-by-step explanation:

A sequence is given to us , which is ;

[tex]\longrightarrow 6,10,14,18,22 [/tex]

We need to find out the third term of the sequence . The third term is 14 which is itself given in the question . We can also find it as ,

The given sequence is in Arithmetic progression since a common number is added to get the next term of the sequence .

Firstly let's find out the common difference . For this we can subtract any two consecutive terms . So ,

[tex]\longrightarrow d = 10 -6\\[/tex]

[tex]\longrightarrow d =4 [/tex]

Now we know that the general term of the sequence in an AP is given by ,

[tex]\longrightarrow T_n = a + (n-1)d [/tex]

The first term is 6 and common difference is 4 . On substituting the respective values ,

[tex]\longrightarrow T_3 = 6 + (3-1)4\\[/tex]

[tex]\longrightarrow T_3 = 6 + 2(4)\\[/tex]

[tex]\longrightarrow T_3 = 6 +8\\ [/tex]

[tex]\longrightarrow \underline{\underline{T_3=14}} [/tex]

This is the required answer!

Put this into Slope-Intercept form
x –2y = –4

Answers

Answer:

See below.

Step-by-step explanation:

x-2y=-4

 *-2  *-2

x+y=8

-x     -x

y=-x+8

-hope it helps

Answer:

y = 1/2x + 2⠀

round to the nearest hundredths

Answers

Answer:

AC = 2.96

Step-by-step explanation:

Use the trigonometric ratio cosine:

cosine = adjacent ÷ hypotenuse

cos(65°) = AC ÷ 7

[tex]cos(65) = \frac{AC}{7}[/tex]

Multiply both sides by 7:

7(cos(65)) = AC

(Note: Set your calculator to degrees!)

And plug 7(cos(65)) into your calculator to get:

AC ≈ 2.96

If y(x) = 2x2 +3 and V(X)=
-
Z
what is the range of (us)x)?
(
-100
O (3.co
0 --3,3)
0 (-03,400

Answers

The range of the problem is three

PLEASE HELP ME WITH THIS I NEED HELP

Answers

Answer:

a. y = -x

b. Area = xy

c. x = -y

Step-by-step explanation:

a. The perimeter of the garden is the distance all the way around, in this would be x+y+x+y, or 2x + 2y. To solve for y, we’re trying to isolate it on one side. We need to subtract 2x to get 2y = -2x. Divide by 2 to get y = -x.

b. Area is length times width, so x • y, or xy.

c. To express in terms of x, we can take the equation y = -x and multiply it by -1 to get x = -y

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