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lara [203]
3 years ago
6

Each of the p children at a park receives at least 3 balloons. If the children receive 150 balloons in all, find the maximum num

ber of children at the park.Show your work.
Mathematics
2 answers:
Dmitry [639]3 years ago
8 0
50 children maximum.
STALIN [3.7K]3 years ago
3 0
The answer i think is 50

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Find the equation of the line through (0,4) perpendicular to the line y = 3x
Rufina [12.5K]

Answer:

y =  -  \frac{1}{3} x + 4

Step-by-step explanation:

The equation of a line is usually written in the form of y=mx+c, where m is the gradient and c is the y-intercept.

The product of the gradients of perpendicular lines is -1.

Gradient of given line= 3.

(Gradient of line)(3)= -1

3m= -1

m= -  \frac{1}{3}

subst. m= -  \frac{1}{3} into the equation:

y =  -  \frac{1}{3} x + c

To find the value of c, substitute a coordinate.

When x=0, y=4,

4 =  -  \frac{1}{ 3} (0) + c \\ 4 = c \\ c = 4

Thus the equation of the line is y =  -\frac{1}{3} x + 4.

3 0
3 years ago
No link answers please!!
nignag [31]

Answer: X= 6 or X=-4

Step-by-step explanation:

x^{2} -2x-24=0\\(x-6)(x+4)=0\\x-6=0 --> x=6\\x+4=---> x=-4

8 0
3 years ago
What is the mean of the following data set? <br> 82, 100, 92, 66, 72, 96, 70, 88.
Brut [27]

Answer:

83.25

Step-by-step explanation:

add all the numbers and divide by 8. 666/8 = 83.25

7 0
3 years ago
Read 2 more answers
Select the correct answer. What is the correct expansion of the binomial (x + y)5? A. x5 + 5x4y + 10x3y2 + 10x3y3 + 5xy4 + y5 B.
Naily [24]
<h3>Answer:</h3>

  C.  x^5 + 5x^4y + 10x^3y^2 + 10x^2y^3 + 5xy^4 + y^5

<h3>Step-by-step explanation:</h3>

Wrong terms are bolded:

A. x5 + 5x4y + 10x3y2 + 10x3y3 + 5xy4 + y5

B. x5 + 5x4y + 10x3y2 + 10x2y3 + 5xy4 + y4

C. x5 + 5x4y + 10x3y2 + 10x2y3 + 5xy4 + y5

D. x5 + 5x4y4 + 10x3y3 + 10x2y2 + 5xy + y5

The sum of exponents should always be 5.

7 0
3 years ago
Read 2 more answers
Help please pre calculus
Jobisdone [24]
Since a log graph is with base 10 and a ln graph is with base e (2.something), the log x graph will clearly have smaller numbers (as, for example, log100=2 and ln100=around 4.6). In addition, you only have to multiply a number by e to increase the power by 1 but you have to multiply a number by 10 (which is significantly larger than e) to increase logx's power by 1, therefore proving that the log x graph will grow slower
6 0
3 years ago
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