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Andru [333]
3 years ago
14

The graph below represents the price of sending text messages using the services of a phone company. What is the constant of pro

portionality? A. 12 B. 24 C. 46. D. 48

Mathematics
1 answer:
anastassius [24]3 years ago
5 0
Ah, direct variation/proportion.
That is simply a linear equation with a y-intercept of 0.
So... let's solve this.
Simply put, a direct variation multiplies the x-value by a constant to get the y-value.
Let's take the point (2, 48) on this graph and solve for the constant of proportionality:
2a=48
We easily solve that and get our answer of a=24. (B)

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A basketball court is being painted. The entire section below will be painted blue. Determine how many square feet of paint will
earnstyle [38]
Answer:

145.12 ft squared will be painted blue.
So the answer is B.

Explanation:

The area of the rectangle is 120 ft2 because 8 ft x 15 ft = 120 ft2

The area of the semi-circle is
because 3.14 x 4 (the radius) squared (or 16) is 50.24, then you divide it by 2 since it’s a semi-circle. 50.24 divided by 2 is 25.12.

Then you add the areas:

120 ft squared + 25.12 ft squared = 145.12 ft squared
6 0
2 years ago
What is the area of the figure
Free_Kalibri [48]

Answer:

112.5ft^2

Step-by-step explanation:

10 x 9 = 90

9 × 5 × .5 = 22.5

90 + 22.5 = 112.5

8 0
2 years ago
I NEED TO HAND IN NOW!!!
umka21 [38]

Step-by-step explanation:

a)

total no. of pupils is not more than 24

therefore first equation is

(x+y) ≤ 24. ....(1)

No. of girls exceeding the no. of boys by atleast 4

(y-x) ≥ 4. .....(2)

b) Now Liza chooses 8 boys

Maximum no. of girls = ?

Using first inequality

y+8= 24 ( maximum value of less than or equal to function is equal to itself)

Therefore,

y= 24-8

=16

Minimum no. of girls = ?

Using second inequality

y-8 =4 (minimum value of greater than or equal to function is equal to itself)

Therefore,

y= 4+8

y=12

Answer:

a) 2linear inequalities

(x+y) ≤ 24

(y-x) ≥ 4

b) Max no. of girls = 16

Min no. of girls = 12

Hope it helps...

5 0
3 years ago
Use slopes and y-intercepts to determine if the lines 5x-5y=-2 and -x+2y=4
HACTEHA [7]

The given pair of lines are not perpendicular.

<h3>What is a line?</h3>

The line is a curve showing the shortest distance between 2 points.

5x - 5y = -2 - - - - - (1)
Transform the equation into standard form,
5x + 2 = 5y
y = 5x /5 + 2/5
y = x + 2/5


The slope of equation 1 is m_1 = 1  and intercept c = 2 / 5


Similarly
x + 2y = 4    - - - - - - - -(2)
Transform it into standard form
y = -x/2 + 4 /2
y = -x / 2 + 2


Slope of the equation 2  m_2= -1 / 2 and intercept c = 2
Slope of line 1 * slope of line 2 = 1 * -1/2 = -1/2


Since the lines are not perpendicular because the pair of lines does not satisfy the property of perpendicular lines i.e
m_1*m_2 = -1

Thus, the given pair of lines are not perpendicular.

Learn more about lines here:

brainly.com/question/2696693

#SPJ1  

6 0
1 year ago
There are 450 people at a play, the total receipt for $600 and the admission was $2 for adults and $0.75 for children, how many
sdas [7]

Answer:

340 children, 210 adults.

Step-by-step explanation:

Let \ a \ - adults, \ c - children;\\c + a = 450\\0.75c + 2a = 600|\cdot 4\\3c + 8a = 2400;\\\\c + a = 450|\cdot(-3)\\3c + 8a = 2400\\-3c -3a = -1350\\5a = 1050 => a = 210, c = 450 -210 = 340.

8 0
3 years ago
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