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2 years ago

6

While facing north, Lisa and Aaron decide to hike to their campsite. Lisa plans to hike 5 miles due north to Lake

1 answer:

klemol [59]2 years ago

4 0

Use law of cosines

a^2 + b^2 - 2ab cos (theta) = c^2 c is the distance she will have to hike a = 7.4 m b = 5 m theta =38 degrees

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The graph shows the relationship between the distance a car is driven and the number of gallons of gasoline used. Identify the v

Zanzabum

Answer:

A. d = 25; the unit rate is 25 miles per gallon

Step-by-step explanation:

The point (1, d) on the graph represents (x, y), where,

x = gasoline used = 1 gallon

y = distance = d = 25 miles

That is, (1, d) represents when x = 1, y = 25.

Thus, (1, 25) is the unit rate which is 25miles per gallon.

8 0

3 years ago

A sporting goods store sells right-handed and left-handed baseball gloves. In one month, 12 gloves were sold for a total revenue

stepladder [879]

Answer:

$9$ right-handed gloves and $3$ left-handed gloves were sold.

Step-by-step explanation:

Given: In one month, $12$ gloves were sold for a total revenue of $\$561$ .

right-handed gloves cost $\$45$ and left-handed gloves cost $\$52$ .

To find: How much of each type of gloves did they sell?

Solution: Let they sell $x$ right-handed gloves, and $y$ left-handed gloves.

Now, cost of each right-handed gloves $=\$45$

cost of each left-handed gloves $=\$52$

Total revenue $=\$561$

So, we get

$45x+52y=561\:\:\:...(i)$

Also, in a month $12$ gloves were sold.

So, we get

$x+y=12\:\:\:...(ii)$

Now, from $(ii)$ we get, $x=12-y$ .

Putting $x=12-y$ in equation $(i)$ , we get

$45(12-y)+52y=561$

$\implies 540-45y+52y=561$

$\implies7y=561-540$

$\implies7y=21$

$\implies y=\frac{21}{7}$

$\implies y=3$

Now, putting $y=3$ in equation $(ii)$ , we get

$x+3=12$

$\implies x=12-3$

$\implies x=9$

Hence, $9$ right-handed gloves and $3$ left-handed gloves were sold.

7 0

3 years ago

If y = k where k is a constant and y =24 when x =6 what is the value of y when x= 5

wolverine [178]

Answer:

20

Step-by-step explanation:

y=kx

24=6k

k=4

y=4*5=20

6 0

3 years ago

Can someone please answer. There is a picture. There is only one problem. Thank you so much!!!

Scrat [10]

The value of the minor axis is 6, this is because the minor axis of an elipse is its length from the (y) value of the cartesian plane.

6 0

3 years ago

The manager of a restaurant found that the cost to produce 150 cups of coffee is $ 20.00, while the cost to produce 400 cups i

34kurt

Answer: Our required linear equation would be $10y-x=50$

Step-by-step explanation:

Since we have given that

Number of cups = 150

Cost = $20

Number of cups = 400

Cost = $45

Let x be the number of cups, y be the cost .

We will use "Equation of line using Two point slope":

$y-20=\dfrac{45-20}{400-150}(x-150)\\\\y-20=\dfrac{25}{250}(x-150)\\\\10(y-20)=(x-150)\\\\10y-200=x-150\\\\10y-x=-150+200\\\\10y-x=50$

Hence, our required linear equation would be $10y-x=50$

4 0

3 years ago