On a field trip they take busses and vans. Each bus holds 60 people and each van holds 10 people. If 390 people went on the trip and they took a total of 9 vehicles, how many of each type of vehicle did they take?

Answer:

Alicia is 18years

Quentin is 14years

Rosalyn is 16years

Step-by-step explanation:

Let the age of Alicia be x

Let the age of Quentin be y

Let the age of Rosalyn be z

If the sum of the siblings’ ages, in years, is 48 then;

x+y+z = 48.... 1

If Rosalyn is two years older than Quentin then;

z =y+2 ..... 2

Also if Quentin is four years younger than Alicia then;

y = x-4 ... 3

From 3:

x = y+4 ... 4

Substitute 2 and 4 into 1 to have:

y+4+y+y+2 = 48

3y + 6= 48

3y = 48-6

3y= 42

y = 14

Since x= y+4

x = 14+4

x = 18

Since z = y+2

z = 14+2

z = 16year

This means that;

Alicia is 18years

Quentin is 14years

Rosalyn is 16years

Answer:

1

Step-by-step explanation:

Answer:

b) similar by SSS theorem

Step-by-step explanation:

Answer:

keep the decemal in the same place? there's not really alot to go by on your question

Answer:

keep the same sign and add the value to each number

Step-by-step explanation:

Answer:

[tex]4^{6}[/tex]  

4096

Step-by-step explanation:

i tried

Answer:

[tex]4^{6}[/tex]

Step-by-step explanation:

4 x 4 x 4 x 4 x 4 x 4 it's really just counting how many 4's there are. In this case there are 6 and the number being repeated 6 times is 4 so we only put it as [tex]4^{6}[/tex]. I know I'm late just wanted to answer :'D

Answer:

1/27

Step-by-step explanation:

(1/3)^3 = (1/3)(1/3)(1/3) = 1/(3x3x3) = 1/27

I hope this helped, and if it did, please mark this as brainliest! Thanks!

Answer:

simplified: 1/27

rewritten: 3^-3

Step-by-step explanation:

Answer:

x = 3

Step-by-step explanation:

Divide 6 on both sides to get your answer which is 3.

Answer: x=3

Step-by-step explanation:

6x=18

x=18/6

x=3

Check: 6(3) =18

A TV programme begins at 7:45 p.m. and ends 50 minutes later.At 8:35 pm time it will finish.

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.

It is given that a TV programme begins at 7:45 p.m. and ends 50 minutes later.

Addition is one of the fundamental mathematical operations we utilize on a daily basis. We employ addition of numbers in a variety of contexts. Working with time or money, such as adding up bills and receipts, is one of the most frequent daily uses for adding numbers.

We have to apply the addition operation by splittiong the time as,

=7:45 p.m + 50 minute

=7:45 p.m + 15 minute + 35 minute

=8:00 pm + 35 minute

=8:35 pm

Thus, a TV programme begins at 7:45 p.m. and ends 50 minutes later.At 8:35 pm time it will finish.

Learn more about the arithmetic operation here:

brainly.com/question/20595275

#SPJ2

Answer:

It will take 10^3 days for the comet to reach earth.

Step-by-step explanation:

10^8 = 100,000,000

10^5 = 100,000

100,000,000/100,000 = 1,000

1,000 is equal to 10^3

Answer:

An=8+(n-1)(-6)

=8-6n+6

=14-6n

A50=14-6(50)

= -286

Answer:

B. the temperature decreasing by 18º

Step-by-step explanation:

decreasing means to take away or less so therefore its b

Answer:

B. the temperature decreasing by 18º

Step-by-step explanation:

i just took it

Answer:

3^4x-5=1/27^2x+10

We move all terms to the left:

3^4x-5-(1/27^2x+10)=0

Domain of the equation: 27^2x+10)!=0

x∈R

We get rid of parentheses

3^4x-1/27^2x-10-5=0

We multiply all the terms by the denominator

3^4x*27^2x-10*27^2x-5*27^2x-1=0

Wy multiply elements

81x^6-270x^2-135x^2-1=0

We do not support expression: x^6    

Step-by-step explanation:

Answer:a

Step-by-step explanation:

Answer:

C) f-1(x) = -9x - 7 the inverse of multiplication is division

Answer: Ok so the number on the y axis is 0,-3 cause it is above -4. And the next point is 1,-5. That is because the first thing you plot is the x axis and then the y axis so that it gives you your number

Answer: i can’t really see but if you count backwards from 9 by 1 the answer is 3

Step-by-step explanation:

Answer:

[tex]y= 4 + 3h[/tex]

Step-by-step explanation:

Step one:

Given data

We are given that the initial distance walked is  4 miles

Also, the rate/ speed with which you are currently walking is 3 miles per hour

let the time taken be hours

and let the total distance be y

Step two:

We want to write an expression for the total distance

The total distance is given as

[tex]y= 4 + 3h[/tex]

Answer:

[tex]\mathtt{\huge\star{\pink{\underline{ 12,\: 10,\: 8,\: 6,\:4,\:2,\:-1,/:-3........ infinite }}}}\huge\star[/tex]

Answer:

[tex] {x}^{2} + {y}^{2} + 4x - 2y = - 1 \\ ( {x}^{2}+2\times2\times x + {2}^{2} ) - 4 + ({y}^{2} - 2 \times 1 \times y + {1}^{2} ) - 1 = - 1 \\ {(x + 2)}^{2} - 4 + {(y - 1)}^{2} - 1 = - 1 \\ {(x + 2)}^{2} + {(y - 1)}^{2} = 4\\ {(x + 2)}^{2} + {(y - 1)}^{2} = {( 2) }^{2} [/tex]

Therefore, the centre of the circle is in ( -2, 1 )

and the radius of the circle is 2.

Formula used :-----

[tex] {(x - a)}^{2} + {(y - b)}^{2} = {r}^{2} [/tex]

equation of the circle

where r is the radius of the circle.

Answer:

Area shaded = 60 [tex]cm^{2}[/tex].

Step-by-step explanation:

From the given diagram,

Area shaded = Area of the trapezoid EBCD

Given that: AE = [tex]\frac{1}{3}[/tex]AB

                        =  [tex]\frac{1}{3}[/tex] x 12    (∵ AB = CD = 12 cm)

                        = 4 cm

                  AE = 4 cm,

Thus,

EB = (12 - 4) cm

    = 8 cm

EB = 8 cm

Area shaded = [tex]\frac{1}{2}[/tex] (EB + CD) x AD

                     =  [tex]\frac{1}{2}[/tex] (8 + 12) x 6

                     = (20) x 3

                     = 60

Area shaded = 60 [tex]cm^{2}[/tex]

Answer:

4

Step-by-step explanation:

31 - 6 = 25

25/4 = 5

because its LESS than that, it has to be lower than 5, therefore its 4.

Kim should be 12 years old.

A relationship between two expressions or values that are not equal to each other is called inequality.

Given that, Josh is 6 years older than 4 times Kim's age and the sum of their ages is less than 31.

From the information, let's consider Josh's age be J and that age Kim's be K

As given,

J = 6 + K ..............(i)

And,

J+K < 31

Substituting in eq(i)

6+K+K < 31

2K < 25

K < 25/2

K < 12.5

Since, Kim's age should be less than 12.5

Hence, Kim's age is 12 years.

For more references on inequality, click;

https://brainly.com/question/28823603

#SPJ2

Answer:

Step-by-step explanation:

b

Answer:

5.08 cm would be 2 in and 10 in would be 25.4 cm

Answer:

16

Step-by-step explanation:

93:6=15.5 As the box can't be half so 16 boxes. In 15 she will pack in each 6 books and in other box 3 books

Answer:

She will need 16 boxes with space for 3 more books

Step-by-step explanation:

Answer:

(C) 48 ft^3

Step-by-step explanation:

Volume=L*W*H=6*4*2=24*2=48, making the correct choice (C) 48 ft^3

Answer:

5% of 320 is 16

you multiply 320 by .05 to get 16

Answer: 16

Step-by-step explanation:

Solution for What is 5 percent of 320:

5 percent *320 =

(5:100)*320 =

(5*320):100 =

1600:100 = 16

Now we have: 5 percent of 320 = 16