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Mars2501 [29]
3 years ago
5

I need help with this problem.

Mathematics
1 answer:
liberstina [14]3 years ago
6 0
4050 divided by 3 = 1350
There is 4050 people in an arena and there is 3 sections of seats. How many people are in one section of seats?
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The table shows the relationship between the number of minutes Rodney spends practicing playing the piano p, and the number of m
vagabundo [1.1K]

<u>Answer-</u>

The equation that describes the pattern is,

\boxed{\boxed{y=2{x}+30}}

<u>Solution-</u>

P = Number of minutes Rodney spends practicing playing the piano

G = Number of minutes Rodney spends practicing playing the guitar

Taking P on x axis and G on y axis, the points are,

(0,30),(15,60),(30,90),(45,120)

Taking first two points i.e (0,30),(15,60), the line equation will be,

\Rightarrow \dfrac{y-y_1}{y_2-y_1}=\dfrac{x-x_1}{x_2-x_1}

\Rightarrow \dfrac{y-30}{60-30}=\dfrac{x-0}{15-0}

\Rightarrow \dfrac{y-30}{30}=\dfrac{x}{15}

\Rightarrow 15(y-30)=30{x}

\Rightarrow y-30=2{x}

\Rightarrow y=2{x}+30

Putting the other two points i.e (30,90),(45,120) in the equation, they also satisfy the equation. That means they are also on the same line y=2{x}+30.

From the result, it is evident that P and G are linearly related.

3 0
4 years ago
A is directly proportional to B when A=12 B=3 Find the value of A when B = 5​
Schach [20]

Answer:

A = 20

Step-by-step explanation:

12/3 = A/5

60 = 3A

A = 60÷3 = 20

3 0
3 years ago
There are two values of a for which the equation 5x2+ax+7x+5=0 has only one solution for x. What is the sum of those values of a
JulsSmile [24]

Answer:

-14

Step-by-step explanation:

First of all, we know that 5x^2+ ax+7x +5=0 only has one root. That means that b^2 - 4ac=0, and we can use this to find the discriminant, ax + 7x.

Now, if we simplified 5x^2+ ax+7x +5=0, by dividing it all by 5, it would be x^2+(a+7)/5x + 1 = 0.

After, we can plug what we know into the formula, b^2 - 4ac=0. It would be:

(a+7)^2 / 25 - 4 = 0

(a+7)^2 / 25 = 4

(a+7)^2 = 100

Since this is a square root, a+7 can be both negative or positive.

a+7= 10, or a+7 = -10

a=3, or a=-17

The question asks for the sum of a, which is 3 + (-17) = -14

Therefore, the answer is -14.

:) have fun with your rsm problems, assuming you got this from the portal.

7 0
3 years ago
Find an equation for the line with slope m= -2/3
sashaice [31]

Answer:  

y = -2/3x + 18

Step-by-step explanation:

to find the y intercept you should input the points 15,8

sooo

8 = -2/3(15) + b

8 = -10 + b

b = 18

3 0
2 years ago
Solve for x in the equation x 2 - 4 x - 9 = 29.
Marizza181 [45]

Answer:

x= -19

Step-by-step explanation:

2x-4x-9=29

-2x=29+9

x=38/-2

= -19

5 0
3 years ago
Read 2 more answers
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