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3 years ago

5

Roger had $1200. He bought a phone with 0.4 of the money and a helmet with 0.5 of the remaining money. What is the amount of mon

ey Roger had left?

1 answer:

Paul [167]3 years ago

7 0

Answer:

the remaining money is $1189.22

Step-by-step explanation:

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Replace ∗ with a monomial so that the derived expression may be represented as a square of a binomial: * +14b+49

anyanavicka [17]

Answer:

* = b²

Step-by-step explanation:

You know that the square of a binomial is of the form ...

(x + y)² = x² + 2xy + y²

Matching given terms, we have ...

49 = y²

2xy = 14b

Solving the first of these relations for y, we have

y = √49 = 7

Putting that in the second relation and solving for x, we find ...

2x·7 = 14b

14x = 14b

x = b

Then the first term of the expansion, x², will be b².

The missing term is b².

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3 years ago

Maureen is in charge of renting a climbing wall for the school’s fundraiser. The equation y = 170x represents the total cost of

Morgarella [4.7K]

Answer:

company d

Step-by-step explanation:

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3 years ago

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Oliver drove the first 90 miles of his journey in 1.5 hours and the remaining 120 miles in 3 hours. What was the total average s

podryga [215]

90+120 miles/1.5+3 hours = 210 miles/4.5 hours = 46.67

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2 years ago

Read 2 more answers

Match the circle equations in general form with their corresponding equations in standard form. x2 y2 − 4x 12y − 20 = 0 (x − 6)2

frosja888 [35]

The equation given is matched with the respective vertex forms.

<h3>What is the standard Equation for a circle ?</h3>

The standard equation for a circle is given by

(x-h)² + (y-k)² = r²

The equation given in the question are

x² + y² − 4x + 12y − 20 = 0

(x − 6)² + (y − 4)² = 56

x² + y² + 6x − 8y − 10 = 0

(x − 2)² + (y + 6)² = 60

3x² + 3y² + 12x + 18y − 15 = 0

(x + 2)² + (y + 3)² = 18

5x² + 5y² − 10x + 20y − 30 = 0

(x+3)² + (y-4)² = 35

2x² + 2y² − 24x − 16y − 8 = 0

(x-1)² + (y+2)² = 11

The first equation is

x² + y² − 4x + 12y − 20 = 0

It can be written ad

x² -4x + 4 - 4 +y²+12y +36-36 -20 = 0

(x-2)² +(y+6)²= 60

The second equation is

x² + y² + 6x − 8y − 10 = 0

x² +6x +9-9 +y² -8y +16-16 -10 = 0

(x+3)² + (y-4)² = 35

The third equation is

3x² + 3y² + 12x + 18y − 15 = 0

(x + 2)² + (y + 3)² = 18

The fourth equation is

5x² + 5y² − 10x + 20y − 30 = 0

(x-1)² + (y+2)² = 11

The fifth equation is

2x² + 2y² − 24x − 16y − 8 = 0

(x − 6)² + (y − 4)² = 56

To know more about standard equation of Circle

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2 years ago

125 tickets were sold for the jazz band concert for a total of $1,022. Students tickets cost $6 each, and general admission tick

rodikova [14]

Answer:

Number of student tickets sold are 57 and general tickets sold are 68.

Step-by-step explanation:

Let the number of student tickets = x and the number of general tickets = y.

It is given that in total 125 tickets were sold.

So, we have,

$x+y=125$

Also, students tickets is sold for $6 each and the general tickets are sold for $10 each.

Since, the total cost of the tickets is $1022.

So, we get,

$6x+10y=1022$

Thus, the system of equations obtained is,

x + y = 125 ........................(1)

6x + 10y = 1022

Multiply equation (1) by 6 gives us,

6x + 6y = 750 ............................(2)

6x + 10y = 1022 .........................(3)

Subtact (2) from (3), we get,

10y - 6y = 1022 - 750

i.e. 4y = 272

i.e. y= 68.

So, equation (1) gives,

x = 125 - y

i.e. y = 125 - 68

i.e. y = 57

Hence, the number of student tickets sold are 57 and general tickets sold are 68.

3 0

3 years ago