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igomit [66]
3 years ago
9

John is a quarterback. This year, he completed 350 passes, which is 70 percent of all the passes he's attempted this year.

Mathematics
1 answer:
Ahat [919]3 years ago
7 0

So we're given the information that 350 is 70% of "x".

So let's make "x" the total amount of attempted passes.

We can re-write 70% like this: 70/100.

This means that 70/100 * x = 350.

Solve:

70/100x = 350.

Multiply 10 on both sides to get normal number:

70/100x * 10 = 350 * 10.

700/100x = 3500

7x = 3500

Divide by 7:

7x/7 = 3500/7

x = 500

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Write the equation of the line parallel to Y equals 2/3X +1 through the point (0,-4)  use slope intercept form
Andrew [12]

Writing the slope-intercept form of a linear equation, we have:

y=mx+b

Where m is the slope and b is the y-intercept.

Since parallel lines have the same slope, we can see that the slope of the line y = 2/3x + 1 is equal m = 2/3, so for our equation we also have m = 2/3.

Now, using the point (0, -4), we have:

\begin{gathered} y=\frac{2}{3}x+b \\ (0,-4)\colon \\ -4=\frac{2}{3}\cdot0+b \\ b+0=-4 \\ b=-4 \end{gathered}

So our equation is:

y=\frac{2}{3}x-4

y = 2/3x - 4

7 0
1 year ago
4. Identify the graph of the solution set of 9 > 3 + 2x.
Ray Of Light [21]

Answer:

A

Step-by-step explanation:

9 > 3 + 2x

6 > 2x

3 > x

or

x < 3

and that means 3 is NOT included (otherwise there must be a smaller or equal sign). hence A is the right answer.

7 0
3 years ago
Alicia's brother is three years younger than twice her age. The sum of their ages is 24. How old is Alicia?
Alborosie
9 because 24 divided by 2 is 12 and 12 subtracted by 3 is 9
5 0
3 years ago
The solutions to a certain quadratic equation are x = -4 and x = 3. Write the equation in standard form below.
elena-14-01-66 [18.8K]
y=a(x-x_1)(x-x_2)\\\\x_1=-4;\ x_2=3\ therefore\\\\y=a(x+4)(x-3)\\\\y=a(x^2+x-12)\\\\\boxed{y=ax^2+ax-12a}\ where\ a\in\mathbb{R}-\{0\}
5 0
3 years ago
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The height of a triangle is 2 less than 5 times its base. If the base of the triangle is x feet, and the area of the triangle is
Gnesinka [82]

Answer:

A. 5x^2 − 2x − 24 = 0

Step-by-step explanation:

height = 5b-2

b =x

We can rewrite the height as

h = 5x-2

We know the formula for area of a triangle

A = 1/2 bh

A =1/2 x * (5x-2)

Distributing the x

A=    1/2 (5x^2 - 2x)

We know A =12

12 = 1/2 (5x^2 - 2x)

Multiply each side by 2

12*2 = 2*1/2 (5x^2 - 2x)

24 = 5x^2 - 2x

Subtract 24 from each side

24-24 = 5x^2 - 2x-24

0 = 5x^2 - 2x-24

6 0
3 years ago
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