All categories

3 years ago

Can someone please answer these two Algebra math questions for me thanks!

Mathematics

1 answer:

a_sh-v [17]3 years ago

5 0

<h3>Explanation:</h3>

Given:

total score is 63
field goals score 3
touchdowns score 7

Find:

a linear equation representing the relationships given
a graph of that equation
combinations of field goals and touchdowns that give the score

Solution:

1. see above for what is given

2. <em>Touchdowns and field goals can be represented by variables</em>. In the attachment, field goals are represented by x, and touchdowns are represented by y.

The score value of a field goal is 3, so the total score from x field goals can be written as the term 3x.

Likewise, the total score from y touchdowns can be written as the term 7y.

The equation of interest is then ...

3x + 7y = 63

The graph of it, and its integer solutions, is attached.

Possible combinations of (field goals, touchdowns) are ...

(0, 9), (7, 6), (14, 3), (21, 0)

You might be interested in

What is the value of n

Hunter-Best [27]

Answer:

B) n = 6

Step-by-step explanation:

4n + 12 = 8n - 12

Combine like terms

24 = 4n

n = 6

5 0

3 years ago

Read 2 more answers

Andre ran 2 kilometers in 15 minutes, and Jada ran 3 kilometers in 20 minutes.

Vladimir79 [104]

Answer:

They do not run at the same rate because Jada ran at a rate of .150km per min, while Andre ran at .133333 km per minute.

Step-by-step explanation:

Andre ran : 2km/15min = .133333km per min

Jada ran: 3km/20min=.150km per minute

.150>.1333, so Jada ran at a higher rate of kilometers per minute.

8 0

4 years ago

Help please!!

zvonat [6]

(a/b) / (c/d) = (a/b)*(d/c) that is the rule so:

(3/4)/(3/16) is equal to:

(3/4)*(16/3) which is equal to

16/4

4

4 0

3 years ago

Read 2 more answers

Evaluate the given integral by changing to polar coordinates. sin(x2 + y2) dA R , where R is the region in the first quadrant be

koban [17]

Set

$\begin{cases}x=r\cos\theta\\y=r\sin\theta\end{cases}\implies\mathrm dA=r\,\mathrm dr\,\mathrm d\theta$

The region $R$ is given in polar coordinates by the set

$R=\left\{(r,\theta)\mid2\le r\le3,0\le\theta\le\dfrac\pi2\right\}$

So we have

$\displaystyle\iint_R\sin(x^2+y^2)\,\mathrm dA=\int_0^{\pi/2}\int_2^3r\sin(r^2)\,\mathrm dr\,\mathrm d\theta=\boxed{\frac\pi4(\cos4-\cos9)}$

8 0

4 years ago

If a rectangular piece of metal has 27.75 square inches what is the length and width?

svp [43]

We cannot get further information about the dimensions of the piece since the number of variables is greater than the number of equations.

<h3>What are the dimensions of a rectangular piece of metal?</h3>

By geometry we know that the area of the piece of metal is equal to the product of its length and width, then we must find two <em>real</em> numbers such that:

l · w = 27.75, where l, w > 0.

Unfortunately, we cannot get further information about the dimensions of the piece since the number of variables is greater than the number of equations. We need at least one equation to find an <em>unique</em> solution.

To learn more on rectangles: brainly.com/question/15019502

#SPJ1

4 0

2 years ago