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AnnZ [28]
3 years ago
13

The number of boys and girls in a class are in the ratio 5:4. If the

Mathematics
1 answer:
vichka [17]3 years ago
3 0

Answer:

no.of boys is 45

Step-by-step explanation:

here, let the number of boys and girls be 5x and4x

ATQ,

5x=4x+9

or,5x-4x=9

or,x=9

then, the number of boys is 9×5=45

and the number of girls is 9×4=36..

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(-6,8); perpendicular to y = -3/2x -1
UNO [17]

Answer:

y =  \frac{2}{3} x + 12

Step-by-step explanation:

y =  -  \frac{3}{2} x - 1

The gradient of a line is the coefficient of x when the equation of the line is written in the form of y=mx+c.

Thus, gradient of given line=-  \frac{3}{2}.

The product of the gradients of perpendicular lines is -1.

(Gradient of line)(-3/2)= -1

Gradient of line

- 1 \div ( -  \frac{3}{2} ) \\  =  - 1( -  \frac{2}{3} )  \\  =  \frac{2}{3}

Substitute m=\frac{2}{3} into y=mx+c:

y =  \frac{2}{3} x + c

To find the value of c, substitute a pair of coordinates.

When x= -6, y= 8,

8 =  \frac{2}{3} ( - 6) + c \\  \\ 8 =  - 4 + c \\ c = 8 + 4 \\ c = 12

Thus, the equation of the line is y =  \frac{2}{3} x + 12.

7 0
3 years ago
(-6 - 4) : (-5) = ? <br> What is the answer to this plz help
Nesterboy [21]

Answer:

-10 not sure what : is

Step-by-step explanation:

6 0
3 years ago
A chef needs to choose a pan that will allow food to cook as quickly as possible for a special recipe and has decided that he wi
raketka [301]

Answer:

234

Step-by-step explanation:

3 0
3 years ago
Winona asked randomly selected students in
MA_775_DIABLO [31]
  • Sample space=S=240
  • N=75
  • Y=165

\\ \sf\longmapsto P(N)=\dfrac{75}{240}=\dfrac{25}{48}\approx 2

\\ \sf\longmapsto P(Y)=\dfrac{165}{240}

\\ \sf\longmapsto P(Y)=\dfrac{33}{48}

\\ \sf\longmapsto P(Y)=\dfrac{11}{16}

3 0
2 years ago
If the walls are 9' high, how much paint would I need to buy to paint the walls of all three bedrooms?
ludmilkaskok [199]

Answer:

The required paint for a total of 1.404\ ft^{2} is approximate 6 gallons

Step-by-step explanation:

we know that

To find how much paint would I need to buy to paint the walls of all three bedrooms, calculate the area of all three bedrooms

<em>Master Bedroom</em>

The area is equal to

A1=(16+16+12+2+18)*9=576\ ft^{2}

<em>2 Bedroom</em>

The area is equal to

A2=(12+14+10+10)*9=414\ ft^{2}

<em>3 Bedroom</em>

The area is equal to

A3=(10+10+14+10+2)*9=414\ ft^{2}

The total area is equal to

A=A1+A2+A3

A=576+414+414=1.404\ ft^{2}

Approximate one gallon of paint covers 250 square feet

so

1.404/250=5.6\ gal

7 0
4 years ago
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