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kap26 [50]
4 years ago
6

A wild horse runs at a rate of 8 miles per hour for 6 hours. Let yy be the distance, in miles, the horse travels for a given amo

unt of time, xx, in hours. This situation can be modeled by a function. Which of these describe the domain of the function? Group of answer choices 0\le x\le60≤x≤6 0\le y\le60≤y≤6 0\le x\le480≤x≤48 0\le y\le480≤y≤48
Mathematics
1 answer:
spin [16.1K]4 years ago
5 0

Answer:

0\leq x\leq 6

0\leq y\leq 48

Step-by-step explanation:

we are given

speed =8 mph

time = 6 hours

so, we have

x=6

now, we can find distance

distance = (speed)*(time)

distance=8\times 6 miles

distance=48 miles

so, we have

y=48 miles

so, our range for x and y can be

0\leq x\leq 6

0\leq y\leq 48


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At a restaurant, four people ordered fried crab cakes and four people ordered a cup of gumbo, with a total of $31. If only two p
ruslelena [56]

Answer:

Fried crab cakes = $4.50

Cup of gumbo = $3.25

Step-by-step explanation:

Let's make the price of fried crab cakes = x and the price of a cup of gumbo = y. Set up two equations for x and y and solve for each variable.

<h3><u>Setting up the equations:</u></h3>

4 people ordered x and 4 people ordered y for a total of 31 dollars, so this equation would look like: 4x + 4y = 31

2 people ordered x and 1 person ordered y for a total of $12.25, so this equation would look like: 2x + y = 12.25

<h3><u>Substitution method:</u></h3>

Now you have your two equations-- solve for a variable in one of the equations and substitute that value into the other equation.

The easiest way to start would be to solve for y in the second equation by subtracting 2x from both sides.

y = 12.25 - 2x

Substitute this value into the first equation.

4x + 4(12.25 - 2x) = 31

Now solve for x-- start by distributing 4 inside the parentheses.

4x + (49 - 8x) = 31

Combine like terms.

-4x + 49 = 31

Subtract 49 from both sides.

-4x = -18

Divide both sides by -4.

x = 4.5

Substitute this value of x into our starting equation for which we solved for y.

2(4.5) + y = 12.25

Multiply 2 and 4.5 together.

9 + y = 12.25

Subtract 9 from both sides.

y = 3.25

Each order of fried crab cakes is worth the x-value [$4.50] and each cup of gumbo is worth the y-value [$3.25].

7 0
3 years ago
Jack's family went out to dinner at a diner. The total bill was $78.99. The
puteri [66]

Answer:

The tax was 5.13

Step-by-step explanation:

Take the amount and multiply by the tax rate

78.99 * 6.5 %

Change to a decimal

78.99 * .065

Round to the nearest cent

5.13

6 0
3 years ago
Read 2 more answers
Please help me idk this
Gennadij [26K]

Answer:

pi times d

Step-by-step explanation:the actuall formula is 2 pi r but since the radius times 2 is the diameer its pi times d hope this helps god bless

8 0
3 years ago
Read 2 more answers
NEED ANSWER ASAP<br>Which graph best represents the equation 3x + y = -5? A. B. C. D.
Nonamiya [84]

Graph B has a slope of -3 and a y-intercept of -5, therefore, the best graph that represents the equation is: Graph B.

<h3>How to Identify the Graph of the Equation of a Line?</h3>

The equation of a line can be rewritten in slope-intercept form as, y = mx + b.

The graph that represents the equation of the line, would have a slope of m and a y-intercept of b.

Given the equation:

3x + y = -5

Rewrite in slope-intercept form:

y = -3x - 5

The slope of the graph, would be m = -3, and the y-intercept would b b = -5.

Thus, graph B has a slope of -3 and a y-intercept of -5, therefore, the best graph that represents the equation is: Graph B.

Learn more about graph of a line on:

brainly.com/question/10790818

6 0
2 years ago
Question and choices are in the photo please explain the answer
Natasha_Volkova [10]

Answer:

\text{A) }68\:\mathrm{cm}

Step-by-step explanation:

The perimeter of a polygon is equal to the sum of all the sides of the polygon. Quadrilateral PTOS consists of sides TP, SP, TO, and SO.

Since TO and SO are both radii of the circle, they must be equal. Thus, since TO is given as 10 cm, SO will also be 10 cm.

To find TP and SP, we can use the Pythagorean Theorem. Since they are tangents, they intersect the circle at a 90^{\circ}, creating right triangles \triangle TOP and \triangle SOP.

The Pythagorean Theorem states that the following is true for any right triangle:

a^2+b^2=c^2, where c is the hypotenuse, or the longest side, of the triangle

Thus, we have:

10^2+TP^2=26^2,\\TP^2=26^2-10^2,\\TP^2=\sqrt{576},\\TP=24

Since both TP and SP are tangents of the circle and extend to the same point P, they will be equal.

What we know:

  • TP=SP=24
  • TO=SO=10

Thus, the perimeter of the quadrilateral PTOS is equal to 24+24+10+10=\boxed{\text{A) }68\:\mathrm{cm}}

7 0
3 years ago
Read 2 more answers
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