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Anna [14]
3 years ago
5

2. A book with a green sticker costs $2 less than half the price of a

Mathematics
1 answer:
Damm [24]3 years ago
8 0

For this case we can propose an equation that will allow us to find the price of one of the books knowing the price of the other.

x: Let the variable that represents the price of the book with a green sticker

y: Let the variable that represents the price of the book with a yellow sticker

According to the statement we have:

x = \frac {y} {2} -2\\

y=2(x+2)

Finally, we can substitute the price of one of the books and clear the value of the other as the case may be.

Answer:

x = \frac {y} {2} -2

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It took him 11 minutes.
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The ratio of boys to girls in the
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Answer:

Answer : 52 girls

Step-by-step explanation:

Your ratio of boys to girls is 3:4

Set up a fractional proportion and cross multiply

3/4 = 39/x

cross multiply

3x = 4(39)

3x = 156

x = 156/3

x = 52 girls

Hope this was helpful!❤

5 0
3 years ago
What is the factored form of 2x2 + x-3?
Vesnalui [34]

Answer:

Step-by-step explanation:

a = 2, b = 1, c = -3

We need to factor this by finding the product of a and c, then from there find which factors of a * c will either add or subtract to give us b.

a * c = 6  and the factors of 6 and 1 and 6, 2 and 3.  Well, 6 - 1 doesn't equal 1 and neither does 6 + 1.  So our factors are 3 and 2.  In order to combine those to get a 1 (our b), we will subtract 2 from 3 since 3 - 2 = 1.  That means that 3 is positive and 2 is negative.  Filling in the formula with 3 and 2 in place of 1 looks like this (always remember to put the absolute value of the largest number first):

2x^2+3x-2x-3=0

Group the first 2 terms together and the second 2 term together in order to factor:

(2x^2+3x)-(2x-3)=0 and factor out what's common in each set of parenthesis.

x(2x+3)-1(2x+3)=0

Notice that when we factor out a -1 from the second set of parenthesis, we can distribute it back in to get the equation we started with.  We know that factoring by grouping "works" if what is inside both sets of parenthesis is exactly the same.  Ours are identical: (2x + 3).  That is common now, and can be factored out:

(2x+3)(x-1)=0

That matches your first choice

6 0
3 years ago
Shortly after takeoff, an airplane is climbing 250 feet for every 1,000 feet it travels. Estimate the airplane’s climb angle whi
SCORPION-xisa [38]

Answer: The climb angle is 14°

Step-by-step explanation:

We can create a rectangle triangle, where the velocity of the plane is the hypotenuse, the horiontal component (1000 ft by unit of time) is a cathetus and the vertical component is (250ft by unit of time).

We want to find the angle that is adjacent to the horizontal component, so we can use the relationship.

Tan(angle) = opposite cathetus/adjacent cathetus

Tan(angle) = 250/1000 = 1/4

Angle = Atan(1/4) = 14°

7 0
3 years ago
A square chessboard is made of 64 white and black squares arranged in 8 rows and 8 columns. The side length of each square is 2
Tresset [83]

Answer:

64 inches

Step-by-step explanation:

We know the following:

- A chessboard is made of 64 white and black squares.

- The 64 squares are arranged in 8 rows and 8 columns.

- Each square is 2 inches thick.

From the first point, we see that a chessboard is a square. This means its length and width are equal.

This is also why the number of rows is equal to the number of columns.

It has been established that there are 8 rows (and 8 columns). Each row is made up of 8 squares.

Therefore, the length of 8 squares (a row) is:

L = 8 * 2 = 16 inches.

Hence, each row (and column) is 16 inches long.

Therefore, Perimeter will be:

P = 4L

P = 4 * 16

P = 64 inches

The perimeter of the chessboard is 64 inches.

3 0
3 years ago
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