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Ostrovityanka [42]
2 years ago
15

The equation y = 1/5x represents a proportional relationship. Explain how you can tell the relationship is proportional from the

graph of the equation, and how you can find the constant of proportionality.
Mathematics
1 answer:
andre [41]2 years ago
7 0
If a graph is proportional then the line will go through the origin at point (0, 0). If the equation is proportional then it will be in the form of y=kx with no other operations after. The constant of proportionality is another way to say the slope and in your specific equation the slope would be 1/5.
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In circle D with mZCDE = 112 and CD = 9 units, find the length of arc CE.
Lady bird [3.3K]

Answer:

CE= 17.59

Step-by-step explanation:

Arc Length=central angle/ 360 (circumference)

CE= 112/ 360 (2π9)

CE= 17.59

5 0
2 years ago
What is 22+54x=-20+60x
krek1111 [17]

Answer:

7

Step-by-step explanation:

22+54x=20+60x

54x=-42+60x

-6x=-42

x=7

4 0
3 years ago
Paul currently has $300 to spend on a data plan. He found a phone for $100 and a $50 a month charge.
zvonat [6]
Let x= months
So 50x is the total amount he pays after x months. You went to add 100 to this because there's a fixed cost of 100 for the phone
So you have the expression 100+50x which is the amount he pays after x months
Since he has a limit of 300,
100+50x < 300
3 0
3 years ago
Please help as fast as you cannn
hodyreva [135]

Answer:

-43 < -35

(Negative 43 is less than negative 35).

8 0
2 years ago
On a certain hot​ summer's day, 477 people used the public swimming pool. The daily prices are 1.50 for children and 2.25 for ad
Akimi4 [234]

Answer:

212 children, and 265 adults

Step-by-step explanation:

To find the number of children and adults, we can set up a systems of equations.

x= number of children

y= number of adults

Equation 1: Price

1.50x+2.25y=914.25

Equation 2: Total number of people

x+y=477

Now, let's solve the equation using substitution.

Rearrange the second equation to solve for one variable.

x+y=477

x=477-y

Now plug x equals into the first equation, and solve for y.

1.50x+2.25y=914.25

1.50(477-y)+2.25y=914.25

715.5-1.50y+2.25y=914.25

715.5+0.75y=914.25

0.75y=198.75

y=265

We just solved for the number of adults. Now let's plug y equals into the second equation to find the number of children.

x+y=477

x+265=477

x=212

7 0
2 years ago
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