What is the equation.

For a field trip 4 students rode in cars and the rest filled nine busses. How many students were in each bus if there were 472 students on the trip.


4x - 9 = 472
4x - 9 = 472

4x + 9 = 472
4x + 9 = 472

9x - 4 = 472
9x - 4 = 472

9x + 4 = 472

Answer:

The answer would be S=4x+3y and E=5x+2y

Answer:

12

Step-by-step explanation:

triangle is half a square so 6*2 = square = 12

Answer:

Step-by-step explanation:

x²+6x+9=(x+3)²

Answer:

697.05$

Step-by-step explanation:

Mark as brainliest

Answer:

20 points

Step-by-step explanation:

We need to find how many points x a student needs to score on a test worth 50 points to get a test score of 40%.

Let x be the number of points.

ATQ,

[tex]\dfrac{x}{50}=\dfrac{40}{100}\\\\x=\dfrac{50\times 40}{100}\\\\x=20[/tex]

Hence, a student needs 20 points to get a score of 40%.

Answer:

yes; only one range value exists for each domain value.

Step-by-step explanation:

The x value don't repeat. Which is: -3, -1, 1, 5.

Answer:

Answer:

yes, the given relation is a function.

Step-by-step explanation:

The given relation is

{(–3, –2), (–1, 0), (1, 0), (5, –2)}

A relation is called function if each element of the domain is paired with exactly one element of the range.

It means for each value of x there exist a unique value of y.

In the given relation for each value of x there exist a unique value of y.

Therefore the required solution is yes and this relation is a function.

Step-by-step explanation:

letter d

because there is no repeating x's

Answer:

Linear inequalities with two variables have infinitely many ordered pair solutions, which can be graphed by shading in the appropriate half of a rectangular coordinate plane. To graph the solution set of an inequality with two variables, first graph the boundary with a dashed or solid line depending on the inequality.

Step-by-step explanation:

Answer:

B'(1,4)

Step-by-step explanation:

after reflection in line c....line c is perpendicular bisector of B' and B

find the slope line between trough B and B' its _1 hence slope of the perpendicular bisector should be 1... equation of line c is

[tex]y - 3 = 1(x - 2) \\ y = x + 1[/tex]

Answer:

Write

csc

4

x

as

1

sin

4

x

and

cot

4

x

as

cos

4

x

sin

4

x

⇒

csc

4

x

−

cot

4

x

=

1

sin

4

x

−

cos

4

x

sin

4

x

=

1

−

cos

4

x

sin

4

x

Now recall that

a

2

−

b

2

=

(

a

−

b

)

⋅

(

a

+

b

)

and use this fact with

a

2

being and

b

2

being

cos

4

x

so that

a

is 1 and b is

cos

2

x

So

csc

4

x

−

cot

4

x

=

1

−

cos

4

x

sin

4

x

=

(

1

−

cos

2

x

)

⋅

1

+

cos

2

x

sin

4

x

But

cos

2

x

+

sin

2

x

=

1

so that

1

−

cos

2

x

=

sin

2

x

so

csc

4

x

−

cot

4

x

=

sin

2

x

⋅

1

+

cos

2

x

sin

4

x

=

1

+

cos

2

x

sin

2

x

=

(

1

sin

2

x

)

+

(

cos

2

x

sin

2

x

)

=

c

s

x

2

x

+

cos

2

x

Step-by-step explanation:

Answer:

so cot^6 (x) =cot^4 (x) csc^2 (x)-cot^4 (x) then you just manipulate the right side cot^4(x)csc^2(x)-cot^4(x) =cot^6(x) which is true

Step-by-step explanation:

Answer:

0.85

Step-by-step explanation:

17/20 = 85/100 = 0.85

Answer:

-2

Step-by-step explanation:

4x=4-12

4x=-8

X=-2

And answer is - 2

Answer:

$844496111

Step-by-step explanation:

Size, n = 9

Initial average = 65000

Average = total sum / size

Initial Sum = 9 * 65000

Initial sum = $585,000

New average = ((585,000 - 120,000 + 7,600,000,000)) / 9

New average =

$7600465000 / 9

= $844496111. 11

= $844496111

For the figure KLMN ~ PQRS, the value of x is 11 and 9.85.

A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.

We have to given that;

⇒ KLMN ~ PQRS

Hence, We can formulate by the condition of similarity,

⇒ 4x + 4 = 48

Solve for x,

⇒ 4x = 44

⇒ x = 11

And, We get;

⇒ 7x - 9 = 60

⇒ 7x = 60 + 9

⇒ 7x = 69

⇒ x = 69/7

⇒ x = 9.85

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The similar shaped figures are solved and the values of x = 9.85 and x = 11

Given data ,

Let the first quadrilateral be represented as KLMN

Let the second quadrilateral be represented as PQRS

where the sides are similar

And , KLMN ~ PQRS

On simplifying , we get

The corresponding sides of the similar figures are in the same ratio

So , LM / RS = k

where k = 1

So , 4x + 4 = 48

Subtracting 4 on both sides , we get

4x = 44

Divide by 4 on both sides , we get

x = 11

Now , 7x - 9 = 60

Adding 9 on both sides , we get

7x = 69

Divide by 7 on both sides , we get

x = 9.85

Hence , the similar figures are solved

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Answer:

p = 1

Step-by-step explanation:

Picture attached below for steps

Answer:

26.4 km/hr

Step-by-step explanation:

Sofia and Diego drive to work.

For Sofia

We convert miles to km

Sofia drives 72 miles in 1.5 hours.

1 mile = 1.6 km

72 miles = x

x = 72 × 1.6 km

x = 115.2 km

We find the speed in km/hr

Speed = Distance /Time

= 115.2km/1.5 hours

= 76.8 km/hr

For Diego

Diego drives 126 km in 2 hour 30 min.

Speed = Distance/Time

Time = 2 hour 30 min = 2.5 hours

Speed = 126km/2.5 hours

= 50.4 km/hr

The difference between their average speeds in km/h is calculated as:

76.8 km/hr - 50.4 km/hr

= 26.4 km/hr

Answer:

3.50378787879

Step-by-step explanation:

Answer:

Exact Form:

925

___

264

Decimal Form:

3.503

^^78

Mixed Number Form:

     133

3   ___

    264

Step-by-step explanation:

Reduce the expression, if possible, by cancelling the common factors.

Answer:

Yes he's correct

Step-by-step explanation:

5 goes into both 10 & 25

10 divided by 5 is 2

25 divided by 5 is 5

So 2/5 is the lowest it'll go

Yes, Tony is correct.

Here,

Lila rewrote 10/25 as 40/100 and represented it with the given picture.

And, Tony thinks this fraction is also equal to 2/5.

We have to find that, Tony is correct or not.

What is Fraction?

Fractions represent the parts of a whole or collection of objects.

Now,

In this picture there are total 25 square and shaded squares are 10.

So, it can be written in form of fraction as;

[tex]Fraction = \frac{Number of shaded squares}{total number of squares} =\frac{10}{25}[/tex]

Since, Lila rewrote 10/25 as 40/100 and represented it with the given picture.

And, Tony thinks this fraction is also equal to 2/5.

Then, we have to get the fraction = 10/25

After simplifying the fraction we get;

[tex]\frac{10}{25} = \frac{2}{5}[/tex]

Hence, Tony is correct.

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Answer:

The standard deviation of the given data set

 σ =  2.135

Step-by-step explanation:

Step(i):-

Given numbers are 4 2 8 5 7

Mean of the numbers

 [tex]= \frac{4+2+8+5+7}{5}[/tex]

= 5.2

The mean of the numbers (μ) = 5.2

Step(ii):-

x        :    4         2       8        5         7

x-μ     :   -1.2   -3.2     2.8    -0.2     1.8

(x-μ)² :   1.44    10.24  7.84  0.04    3.24

The standard deviation of the given data

            σ = √Σ( x-μ)² / N

           σ  = [tex]\sqrt{ \frac{1.44+10.24+7.84+0.04+3.24}{5}}[/tex]

            σ =  2.135

Answer:

ok I know the answer just mark me the brainliest for it

Answer:

2x^2 - 7x - 15

Step-by-step explanation:

Answer:

17n-35

Step-by-step explanation:

20n-55-3n-20=17n-35

Answer:

D

Step-by-step explanation:

This is because if u subsitute x with 17, 17x5 is 85 and 85+95= 180

[tex]\color{plum}\tt\bold{(D) \: 17}[/tex]

Given :

▪︎Angle (5x)° and angle 95° are supplementary angles.

Which means :

[tex] = \tt5x + 95 = 180[/tex]

[tex] = \tt5x = 180 - 95[/tex]

[tex] = \tt5x = 85[/tex]

[tex] \hookrightarrow\tt \color{plum}x = 17[/tex]

Thus, the value of x = 17

Let us check whether or not we have found out the correct value of x by placing 17 in the place of x:

[tex] =\tt5 \times 17 + 95 = 180[/tex]

[tex] =\tt 85 + 95 = 180[/tex]

[tex] =\tt 180 = 180[/tex]

Since the sum of both angles is equivalent to 180[85+95=180], we can conclude that we have found out the correct value of x.

Therefore, the correct option is (D) 17

Answer:

5.375

Step-by-step explanation:

terminating

Answer:

Step-by-step explanation:

Answer:

-4x + 12

Step-by-step explanation:

2(x+6)-6x

2x + 12 - 6x

combine llike terms

2x - 6x = -4x

-4x + 12

Answer:

2(x+6)-6x=-4x+12

Step-by-step explanation:

So how I got that was I expanded 2(x+6): 2x+12 so I got 2x+12-6x

I simplified 2x+12-6x and I got -4x+12