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3 years ago

Number of boys : number of girls = 11 : 9

Mathematics

1 answer:

Mazyrski [523]3 years ago

8 0

Step-by-step explanation:

Total number of students=S

Number of girls =G

Number of Boys =G+124

G+G+124 = S

11/20S =G+124, solve for G, S

G=558 - Number of girls.

S =1,240 - Total number of students

1,240 - 558 =682 - Number of boys.

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Which shows the dimensions of two rectangular prisms that have volumes of 72 cm3 but different surface areas? A. 6 cm by 3 cm by

Nookie1986 [14]

To solve, lets find the volumes of all of the options...

V=l*w*h

A.
6*3*4=72cm³
12*2*3=72cm³

B.
2*4*9=72cm³
9*4*2=72cm³

C.
3*3*8=72cm³
2*6*8=96cm³

D.
6*3*4=72cm³
9*4*3=108cm³

We can conclude that C & D aren't the answer, since they contain prisms that don't have a volume of 72cm³.

Now lets solve for the surface area of A and B...

A.
sA=2(wh+lw+lh)=2(6*3+4*6+4*3)=2(18+24+12)=2(54)=108cm²
sA=2(wh+lw+lh)=2(12*2+3*12+3*2)=2(24+36+6)=2(56)=112cm²

B.
sA=2(wh+lw+lh)=2(2*4+9*2+9*4)=2(8+18+36)=2(62)=124cm²
sA=2(wh+lw+lh)=2(9*4+2*9+2*4)=2(36+18+8)=2(62)=124cm²

A is the only option with both similar volumes of 72cm³ and different surface areas...

Answer=A

3 0

3 years ago

Read 2 more answers

Solve each equation for x<br> 4(x + 4) + 2x= 52

Alex73 [517]

Answer:

x=6

Step-by-step explanation:

4(x + 4) + 2x= 52

We solve the bracket first by multiplying x+4 by 4

4x+16+2x=52

Collect like terms

4x+2x+16=52

6x+16=52

6x=52-16

6x=36

Divide both sides by 6

6x/6=36/6

x=36/6

x=6

To check for accuracy. We subsitute x for 6 in the equation and both sides of the equation must be equal

4(x + 4) + 2x= 52

4(6+4)+2(6)=62

4(10)+2(6)=52

40+12=52

52=52

6 0

4 years ago

Which formula can be used to describe the sequence?

mafiozo [28]

Answer:

The formula that can be used to describe the given sequence is $f(x)=-4(6)^{x-1}$

Step-by-step explanation:

Given : sequence -4, −24, −144,...

We have to find the formula that can be used to describe the given sequence -4, −24, −144,...

A geometric sequence is a sequence in which each higher term is multiplied by a constant number called common ratio.

Written as a, ar , ar², ar³., ....

and general term is calculated as $a_n=ar^{n-1}$

Where a is first term and r is common ratio.

Consider the given sequence -4, −24, −144,...

We find the common ratio ,

$a=-4, \\\\ar=-24,\\\\\ ar^2=-144$

Thus, common ratio is given as $r=\frac{ar}{r}=\frac{-24}{-4}=6$

Thus, the given sequence is a geometric sequence.

The general term is given by $a_n=ar^{n-1}$

Put a = -4 , r = 6

We have

$a_n=-4(6)^{n-1}$

Thus, the formula that can be used to describe the given sequence is $f(x)=-4(6)^{x-1}$

5 0

3 years ago

Read 2 more answers

You are at a restaurant and your bill comes to $31.18. The sales tax is 6% and you give the waitress a 20 percent tip on the tot

Vanyuwa [196]

Answer:

$ 0.34 or 34 cents

Step-by-step explanation:

Bill amount = $31.18

sales tax = 6% of $31.18

= 0.06 ($31.18)

= $1.8708

Bill with tax = $31.18+$1.8708

= $33.0508

value of tip = 20% of 33.0508

= 6.61016

Total payment = 33.0508+ 6.61016

= $39.66096

or $39.66

We get change of $40 - $39.66

= $ 0.34

We shall get back in cents that will be 34 cents

7 0

3 years ago

15*n+16=48-n HELP ASAP

NeTakaya

Answer:

n = 2

Step-by-step explanation:

Here you go ! =)=)=)=)

4 0

4 years ago