A square plaza at a train station has a side length as shown. Which expression represents the area of the plaza in square meters?

2x + 6
x2 + 9
6x + 9
x2 + 6x + 9

9514 1404 393

Answer:

Step-by-step explanation:

Using the variables defined in the problem statement, we can write the equations ...

  a + c = 16 . . . . . . . . . . . . number of tickets bought

  10.50a +7.50c = 141 . . . cost of tickets bought

Substituting for c in the second equation, we get ...

  10.50a +7.50(16 -a) = 141

  3.00a +120 = 141 . . . . . . . . simplify

  3a = 21 . . . . . . . . . . . subtract 120

  a = 7 . . . . . . . . divide by 3

  16 -a = c = 9 . . . . . . . find the number of child tickets

They bought 7 adult tickets and 9 child tickets.

_____

If you examine the solution, you see that the number of adult tickets (the higher priced item) is the quotient of the difference between the actual expenditure (141) and the amount that would have been spent on all child tickets (16×7.50=120), and the difference in ticket prices (10.50-7.50=3.00). Knowing this, you can often work problems of this kind in your head.

9514 1404 393

Answer:

  2x²2y³ -- Coefficiente: +4

  5xy -- Grado: 2

  -5x⁴y -- Grado: 5

Step-by-step explanation:

The coefficient of the literal part is the product of all of the numerical factors in the term.

  2x²2y³ = (2·2)x²y³ = 4x²y³ . . . . the coefficient is 4

As in the upper left box, the degree of the term is the sum of the exponents of the literals.

  5xy has a degree of 1+1 = 2

  -5x⁴y has a degree of 4+1 = 5

__

The remaining descriptions are correct.

Answer:

2/3

Step-by-step explanation:

Convert any mixed numbers to fractions.

Then your initial equation becomes:

25×53

Applying the fractions formula for multiplication,

=2×55×3

=10/15

Simplifying 10/15, the answer is

=2/3

Answer:

eid is more important then Eid

Step-by-step explanation:

Eid al-Fitr - which means 'festival of the breaking of the fast - is celebrated at the end of Ramadan, , a month when many adult Muslims fast. Eid al-Adha - which means 'feast of the sacrifice' - is celebrated just over two months later, at the same time when many Muslims perform the Hajj pilgrimage.

Answer:

because we get to spend eid with family and friends.

Step-by-step explanation:

but they're equally important, in my opinion

Answer: 14 gallons of gasoline.

Step-by-step explanation:

given data:

25(x + 3) = 424

where x is the number of gallon of gasoline needed to purchase.

Solution.

25(x + 3) = 424

first we open the bracket

25x + 75 = 424

collect like terms

25x = 424 – 75

25x = 349

divide both sides by 25

25x/25 = 349/25

x = 13.96

x = 14

mathew needs to get 14 gallons of gasoline.

Answer:

√294 = A. 7√6

Explanation:

Factor  49  out of  294 . √

49 ( 6 ) Rewrite  

49  as  7 ² . √ 7 ² ⋅ 6

Pull terms out from under the radical.

7 √ 6

Answer:

6

Step-by-step explanation:

Given the following :

Number of sugar cookies = 42

Number of Oatmeal = 30

To package the cookies into identical containers so that each container has the same number of cookies with no left over ;

We find the greatest common factor of 42 and 30

Factors of 42 : 1, 2, 3, 6, 7, 14, 21, 42

Factors of 30 : 1, 2, 3, 5, 6, 10, 15, 30

The greatest common factor = 6

the answer to your question is 4

Answer:

yeah it is 4 i got it right

Step-by-step explanation:

Answer:

The slope is 7

Step-by-step explanation:

Choose any of the following points for example (0.5,3.5) and (1,7)

7-3.5=4.5/1-0.5=0.5

Divide 4.5/0.5 to get 7

Answer:

The answer is choice 2 and 3, that is "The quotient has a final decimal and the whole number is less than 11".

Step-by-step explanation:

The product of a ratio: amount (r) over other(s) (variance from 0) becomes mandatory to note this quotient and in the following case Thus q is = 0.0882352941.

[tex]\to \frac{81}{918}= 0.0882352941[/tex]

It wasn't a repeating decimal, however a final decimal, so it's got an end.

Its quotient may be less than 11 in total.

Numbers of W = {0,1,2, ...} and 0 < 11 are provided for this entire series of data therefore It's real .

Answer:

a

Step-by-step explanation:

Answer:

8.69>8.6

Step-by-step explanation:

Because 8.69 has .09 more than 8.6

Answer:

8.69 > 8.60

Step-by-step explanation:

You need to add a zero to the end to 8.6 so it's easier to compare. Since all the digits in the two numbers are the same except 9 and zero, those are what you need to compare. 9>0, so 8.69 > 8.6

hope this helped! :)

Answer:

-2

Step-by-step explanation:

m = 10 / -5 = 2 / -1 = -2

Sorry I think the picture is blocked so I can't see it

Answer:

Symmetric property of angle congruence

Answer:

220g/cm³

Step-by-step explanation:

Given parameters:

  Mass of the weight = 220000g

  Volume  = 1000cm³

Unknown:

Density of weight = ?

Solution:

Density is the mass per unit volume of a substance.

Mass is the amount of matter in a substance.

Volume is the amount of space a substance occupies

        Density  = [tex]\frac{mass}{volume}[/tex]

Input the parameters and solve

        Density  = [tex]\frac{220000}{1000}[/tex]  = 220g/cm³

Answer:

113.29w +1.77

Step-by-step explanation:

Answer:

[tex] \frac{10}{27} [/tex]

Answer:

24%

Step-by-step explanation:

Step 1: Shift the decimal point two places to the right: 0.24 → 2.4→ 24.

Step 2: Add a percent sign: 24%

and that's how you get your answer

The .24 written as a percent is 24%.

To convert .24 to a percent, multiply it by 100.

.24 ×100 = 24

When we express a number as a percent, it represents a proportion out of 100. In this case, .24 as a percent means that .24 is equivalent to 24 out of 100 or 24%. The percent symbol (%) indicates that the number is being represented as a fraction of 100. This can be interpreted as .24 representing 24 parts out of 100, or 24 hundredths.

To know more about percent here

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Answer:

B

Step-by-step explanation:

got stuck on it too lol

The graph of an equation intersects the y-axis at some point. Therefore, the coordinates of the intersection indicate is B. the output when the input is zero.

Its the sum of length of the sides used to made the given figure. A regular figure with n-sides has n equal sides in it, and they are the only parts of it(that means, nothing more than those equal lengthed n sides).

Since sum of side lengths of the triangle of vertices: 3

Area: ½ × base × height

Number of edges: 3

Internal angle: 60° (for equilateral)

The Sum of interior angles is 180°

Therefore, the coordinates of the intersection indicate will be;

B. the output when the input is zero.

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Answer:

w=2r

r= w/2

r- w/2 = 0

w -2r= 0

Step-by-step explanation:

Let w be the number of weeks and r be the number of recipes learnt . So he will learn 2 recipes each week .Equating gives

w=2r

when w= 1

w= 2(1) = 2

For 1st week 2 recipes are learned

when w= 2

w= 2( 2) = 4

For 2nd week 4 recipes are learned.

or

when r= 2

r= w/2

r =2/2  = 1  one  recipe is learned in half of the week  

r- w/2 = 0

or

w -2r= 0

Step-by-step explanation:

given data:

hours worked weekly = 39

pay/her = $10.95

insurance withheld weekly = $20

percentage put into Retirement = 4%

Solution:

Gross pay

= hrs worked weekly x pay/hr

= 39 x $10.95

= $427.05.

Deductions

insurance deduction

= $427.05 – $20

= $407.05

Amount put into retirement account

= 4% of $427.05

= 4/100 x $427.05

= $17.082

NET PAY

= $427.05 – $20 –$17.082

= $389.97

Answer1/2(8x15)=60ft2

Step-by-step explanation: hope this helps you

The area of the rock garden will be represented by the equation 1/2 x 15 x 8 = 60. The correct option is D.

The entire area filled by a triangle's three sides in a two-dimensional plane is referred to as the triangle's area. The fundamental equation for a triangle's area is A = 1/2 x b x h, where b and h are the product of the triangle's base and height.

The area of the triangle will be calculated as,

Area = 1/2 x 15 x 8

Area = 15 x 4

Area = 60 square feet

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Answer: expression to show puppy's current weight = x+ 0.1x, simplified form = 1.1x

Expression that for puppy's future weight= 1.1x + 0.1(1.1x), simplified form = 1.21 x

Step-by-step explanation:

Let x= Puppy's weight in the first visit.

If it gained 10% in weight from the first visit, then his current weight = (weight in first visit)+10% of (weight in first visit)

= x+ 0.1x

i.e. expression to show puppy's current weight = x+ 0.1x

In simplified form it will be

x+ 0.1x = x(1+0.1)

=x(1.1)

=1.1 x  (simplified form )

If puppy gains another 10% in weight, then its future weight = (current weight)+10% of (current weight)

= 1.1x+10% of 1.1x

= 1.1x + 0.1(1.1x)

Expression that for puppy's future weight= 1.1x + 0.1(1.1x)

= 1.1x(1+0.1)

= 1.1x(1.1)

=(1.1)²x

= 1.21x  (simplified form)

Answer: 75

Step-by-step explanation:

Plug in 7 for x and 5 for y

10(7)+5

70+5

75

Answer:

90 minus 10 is 80 so $80 left

Sum of 8th & 4th terms of an AP = 24

Sum of 6th & 10th terms = 44

A.P.

We know that,

nth term of an AP = a + (n - 1)d

Hence,

⟹ a + (8 - 1)d + a + (4 - 1)d = 24

⟹ a + 7d + a + 3d = 24

⟹ 2a + 10d = 24 -- equation (1)

Similarly,

⟹ a + 5d + a + 9d = 44

⟹ 2a + 14d = 44 -- equation (2)

Subtract equation (1) from (2).

⟹ 2a + 14d - (2a + 10d) = 44 - 24

⟹ 2a + 14d - 2a - 10d = 20

⟹ 4d = 20

⟹ d = 20/4

⟹ d = 5

Substitute the value of d in equation (1).

⟹ 2a + 10(5) = 24

⟹ 2a = 24 - 50

⟹ 2a = 24 - 50

⟹ 2a = - 26

⟹ a = - 26/2

⟹ a = - 13

We know,

General form of an AP is a , a + d , a + 2d...

Hence,

⟹ required AP = - 13 , - 13 + 5 , - 13 + 2(5)...

⟹ required AP = - 13 , - 8 , - 3....

I hope it will help you.

Regards.

Answer:

Charles Babbage, who was born in 1791, is regarded as the father of computing because of his research into machines that could calculate. Babbage's Difference Engine Number 1 was the first device ever devised that could calculate and print mathematical tables.