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Oxana [17]
2 years ago
12

Hanna shops for socks that cost $2.99 for each pair and blouses that cost $12.99 each. Let x represent the number of pairs of so

cks purchased, and let y represent the number of blouses purchased. Which equation models the purchases she made with $43.92?
Mathematics
2 answers:
lesya692 [45]2 years ago
5 0
X:  # of pairs of socks; y:  # of blouses
Then $2.99x+$12.99y=$43.92.
alexdok [17]2 years ago
4 0

Answer:

2.99x + 12.99y = 43.92

Step-by-step explanation:

Here, x represents the number of pairs of socks purchased, and let y represents the number of blouses purchased.

Since, the cost of each pair of socks is $ 2.99 and the cost of a blouse is $ 12.99,

Thus, the total cost of x pairs of socks and y blouses = ( 2.99x + 12.99y ) dollars,

According to the question,

Total cost is $43.92,

⇒ 2.99x + 12.99y = 43.92

Which is the required equation.

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A small radio transmitter broadcasts in a 69 mile radius. If you drive along a straight line from a city 93 miles north of the t
larisa86 [58]

Answer:

See Explanation

Step-by-step explanation:

According to the Question,

  • We have A small radio transmitter that broadcasts in a 69-mile radius. If you drive along a straight line from a city 93 miles north of the transmitter to a second city 78 miles east of the transmitter.

Thus,

The distance that you get reception is the length of the chord created by the intersection of the circle defining the edge of transmission and the line defining the car trip.

  •  x2 + y2 = 69²               this is the circle

And,

The Transmitter at the origin

City to the north at (0,93)  & City to the east at (78,0)  

the Slope is M=(-93/78)

Intercept is B= y - mx ⇒  93 - (-93/78)(0) = 93

The equation of the line between the cities is y = (-93/78)x + 93

  • y = -93x/78 + 93           this is the line

Now, Solve the above two Equations

The intersection is gotten from the picture or solving:

x^2 + [(-93/78)*x + 93]^2 = 69^2

  • on solving we get, the points approximately are: (67.952,11.98 ) and (23.6277, 64.82)

Now,

From the Pythagorean theorem the total distance of the trip is:  

d1 = √(93^2 + 78^2) ≈ 121.37miles  

And the distance when the signal is picked up is:

d2 =√ [(67.952-23.627)^2 + (64.82 - 11.98)^2] ≈ 68.96 miles

You will pick up a signal from the transmitter in (d2/d1)*100 = 56% of the drive.

3 0
3 years ago
How many pounds are there in a 72-ounce package of ground beef?(1 pound=16 ounces)
UkoKoshka [18]

Answer:

4.5 pounds of ground beef

3 0
3 years ago
Read 2 more answers
-5 -(15y - 1) = 2(7y - 16) -y
Luda [366]
-5-(15y-1) = 2(7y-16) - y  // question
-5-15y+1 = 14y-32-y  // distribute
-15y - 4 = 13y - 32    // subtract
-28y = -28  // divide
y = 1
7 0
3 years ago
F (x) = √2X-6<br> What is f(5)?
inessss [21]

Answer:

f(5) = 2

Step-by-step explanation:

<u>Given: </u>

  • Function f(x) = \sqrt{2x - 6}

<u>For x=5 :</u>

  • f(5) = \sqrt{2*5 - 6} = \sqrt{4} = 2
7 0
3 years ago
A bicycle wheel makes five rotations. the bicycle travels 44.48 ft. Find the diameter of the wheel in inches.
Tema [17]

Answer:

2.42 feet

Step-by-step explanation:

the bicycle wheel rotates 5 times and travels 37.94 feet, then we know that the circumference of the wheel (the outside of the wheel as it touches the ground 5 times around) is 37.94/5 = 7.588

 

Then we use the formula for the circumference of a circle: 2(pi)(radius) = circumference

 

We plug in what we know 2(3.14)(radius) = 7.588 and then solve for the radius

 

We divide 2 from both sides of the equation (3.14)(radius) = 3.794

 

We divide pi from both sides (radius) = 1.208

 

Then the last step, we multiply the radius by 2, because we need the diameter, which is double the radius

 

1.208 * 2 = 2.416 or 2.42 rounded up

 

Final answer = 2.42 feet

7 0
3 years ago
Read 2 more answers
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