MATHEMATICS HIGH SCHOOL

Sarah and Gavyn win some money and share it in the ratio 5:3. Sarah gets £26 more than Gavyn. How much did Gavyn get?

Answers

Answer 1
Answer:

Answer:

£39

Step-by-step explanation:

Let Gavyn's share = x

Since, Sarah gets £26 more than Gavyn.

Sarah's Share = x+26

Equating the Ratio of their Shares and the actual sum received

x+26 : x = 5:3

Converting to Fractions

(x+26)/(x)=(5)/(3)

Cross multiply

5x=3(x+26)

5x=3x+78

5x-3x=78

2x=78

Divide both sides by 2

x=39

Therefore: Gavyn's share x = £39

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What is a simple formula to solve a math sequence? Or a couple formulas if possible? Thanks!

Answers

2 normal types of sequences:

1. arythmetic sequences: each term is the same distance to the next term, example, 2,4,6,8, distance is 2

2. geometric sequences: the ratio of consecutive terms is the same, example: 2,4,8,16, ratio is 4:2=2:1, 2/1=2


the nth term is denoted by a_(n)
the first term is represented by a_(1)

for arythmetic sequences, the nth tem is
a_(n)=a_(1)(n-1)d where d=distance between each term

for geometric sequences the nth term is
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What is the y-coordinate of the solution? Round to the nearest hundredth.
( 4x-y= 2
2x+9y= -12)

Answers

Hi \n \n \begin{cases}4x-y=2~~----\ \textgreater \ (I) \n 2x+9y=- 12~--\ \textgreater \ (II)\end{cases} \n \n \underline{Resolution ~} \n \n~~~~~~4x-y=2 \n =\ \textgreater \ \boxed{y=4x-2}~~--\ \textgreater \ \textcircled{1} \n \n \mathbb{tttttttttttttttttttttttttttttttttttt} \n\textcircled{1}~in (II) \n \n2x+9\underbrace{y}_(4x-2)=-12 \n \n 2x+9(4x-2)=-12 \n \n 2x+36x-18=-12 \n \n \boxed{\boxed{x=0,16}} \n \n \mathbb{tttttttttttttttttttttttttttttttttttt} \n =\ \textgreater \ y=4x-2 \n ~~~~~~y=4(0,16)-2 \n ~~~~~~\boxed{\boxed{y=-1,36}}\n \n \n .

\therefore~(x;y)=(0,16; -1,36)
y=-1.4
all you had to do was the elimination method

One-sixth of the girls and two-sevenths of the boys in a school marching band are in the percussion section. The percussion section has 6 girls and 10 boys. How many students are in the marching band?

Answers

There are 71 students in the marching band.

What is an expression?

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that one-sixth of the girls and two-sevenths of the boys in a school marching band are in the percussion section. The percussion section has 6 girls and 10 boys.

Let the total number of girls in the band be y and that of boys x;

Then;

1/6y = 6

y=6 x 6

y= 36

There are 36 girls in the school.

2/7x = 10

2x = 10 x 7

2x = 70

x = 70/2

x=35

Therefore, there are 71 students in the marching band.

To know more about an expression follow

brainly.com/question/4344214

#SPJ2
Let the total number of girls in the band be y and that of boys x;
Then;
1/6y=6
y=6*6
y= 36
There are 36 girls in the school.

2/7x=10
2x=10*7
2x=70
x=70/2
x=35
There are 71 students in the band.

A trampoline has an area of 49 pi square feet. what is the diameter of the trampoline?

Answers

The area of a circle is pi times the radius squared. Set up the equation pi x r squared = 49 pi square feet. Divide both sides of the equation by pi. 
r squared = 49 square feet. Take the square root of both sides. r = 7 feet.
The diameter of the trampoline is double the radius which is 14 feet.

If x / y is an integer, which of the following statements must be true?A. both x and y are integers
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C. either x or y is negative
D. y / x is an integer
E. x = ny where n is an integer

Answers

Only E) is true. If I were to arbitrarily pick x = 2.2 and y =1.1, then I could show that A), B), C), and D) to be false, given x/y = 2.2/1.1 = 2 (which is an integer). However for E), if we define x/y = n where n is an integer, then by rearranging terms, we can show x = n*y where n still equals an integer and our original equation is still valid.

Write a fraction that is equivalent to 6 explain why the fraction is equivalent to 6

Answers

12/2 , because 12 divided by 2 is 6

Answer:

5/5

Step-by-step explanation:

It is a whole number so if you do 5/5 it adds up an whole number! Hope this helps
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