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3 years ago

The y coordinate is 7 more than the x coordinate

Mathematics

1 answer:

Korolek [52]3 years ago

8 0

Answer:

if you have the value of x then y =x +7

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Mrs. Becker is selling tickets to an art exhibit, but she lost the receipts. She knows that she has sold at least 20 tickets. Th

LekaFEV [45]

9514 1404 393

Answer:

x+y≥20
14x+12y≤420

Step-by-step explanation:

Variables are defined in the problem statement.

x + y ≥ 20 . . . . . . . . at least 20 tickets were sold

14x +12y ≤ 420 . . . . sales were at most $420

6 0

3 years ago

the frame of a picture is 28 cm by 32 cm outside and is of uniform width.What is the width of the frame if 192 cm2 of the pictur

natita [175]

Answer:

The width of the frame is equal to $8\ cm$

Step-by-step explanation:

Let

x-------> the width of the frame picture

we know that

$(28-2x)(32-2x)=192$

$896-56x-64x+4x^{2} =192$

$4x^{2}-120x+704=0$

Simplify

$x^{2}-30x+176=0$

The formula to solve a quadratic equation of the form $ax^{2} +bx+c=0$ is equal to

$x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$x^{2}-30x+176=0$

$a=1\\b=-30\\c=176$

substitute in the formula

$x=\frac{30(+/-)\sqrt{(-30)^{2}-4(1)(176)}} {2(1)}$

$x=\frac{30(+/-)\sqrt{196}} {2}$

$x=\frac{30(+/-)14} {2}$

$x=\frac{30+14} {2}=22\ cm$ ----> this solution is not logic

$x=\frac{30-14} {2}=8\ cm$

The width of the frame is equal to $8\ cm$

8 0

4 years ago

As part of a sixth-grade class project, the teacher brings to class a large jar containing 200 gumballs of two different colo

Rudiy27

Answer:

There would be 40 red gumballs

Step-by-step explanation:

Since, out of 40 gumballs there are 8 red gumballs,

So, the ratio of red gumballs and total gumballs = $\frac{8}{40}$

$=\frac{1}{5}$

Now, let there are x red gumballs in 200 gumballs,

The ratio of red gumballs and total gumballs = $\frac{x}{200}$

$\implies \frac{x}{200}=\frac{1}{5}$

$x =\frac{200}{5}=40$

Hence, the possible number of red gumballs in the jar would be 40.

7 0

3 years ago

At a certain middle school, there are 26 students per teacher in every homeroom. Is the total number of students proportional to

Verizon [17]

Yes, because there is a corresponding amount of teachers per student.

6 0

3 years ago

What is the product of the polynomial (7x+7) (x+2)

kolbaska11 [484]

Answer: 7x^2+21x+14

Step-by-step explanation:

(7x+7)(x+2)

Multiply each term in the first parentheses by each term in the second parentheses (FOIL)

7x×x+7x×2+7x+7×2

↘ ↙

7x×x calculate product

7x^2+7x×2+7x+7×2

↘ ↙

7x×2 calculate product

7x^2+14x+7x+7×2

↘↙

7×2 multiply numbers

7x^2+14x+7x+14

↘ ↙

21x collect like terms

7x^2+21x+14 is your end result.

3 0

3 years ago