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netineya [11]
3 years ago
10

Tomas makes a balloon sculptures at a circus. In 180 minutes, he uses 253 balloons to make 36 identical balloon sculptures.

Mathematics
1 answer:
Kipish [7]3 years ago
7 0
180\ minutes\ \ \ \rightarrow\ \ \ 252\ balloons\\\\1\ minute\ \ \ \rightarrow\ \ \ x\ balloons\\\\x\cdot 180=1\cdot 252\ \ \ \Rightarrow\ \ \ x= \frac{252}{180}= \frac{36\cdot7}{36\cdot5}  = \frac{7}{5} =1.4\\\\Ans.\ \ 1.4\ balloons\ per\ one\ minute.\\\\-----------------\\\\ 1\ minute\ \ \ \rightarrow\ \ \ 1.4\ balloons\\\\10\ minutes\ \ \ \rightarrow\ \ \ x\ balloons\\\\x\cdot 1=10\cdot1.4\\\\x=14\\\\Ans.\ \ 14\ balloons\ per\ 10\ minutes.
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Rewrite e^{x}= y into logarithmic form.
Aleksandr-060686 [28]

Answer:

x=\ln{y}

Step-by-step explanation:

The natural logarithm function is the inverse of the natural exponential function.  

\text{power}=\text{base}^{\text{exponent}}\\\\\text{exponent} \: =\: \log_\text{base}{\text{power}

are equivalent.

6 0
2 years ago
A triangle has side lengths of (6.2p + 4.5q) meters, (3.4p – 0.7r) meters, and (2.9r – 4.1q) meters. Which expression represents
Natalija [7]

Answer:

9.6p + 0.4q + 2.2r meters (answer A)

Step-by-step explanation:

We sum up the three side lengths to obtain the perimeter of the triangle:

 (6.2p + 4.5q) meters, , and (2.9r – 4.1q) meters

+ (3.4p – 0.7r) meters

+ (2.9r – 4.1q) meters

---------------------------------

9.6p + 0.4q + 2.2r meters (answer A)

3 0
2 years ago
a car manufacturer determines that it's profit, P, in thousands of pesos, can be modeled by the function P(x)=0.001 25x4+x-2, wh
PSYCHO15rus [73]

Answer:

use a calculator itl be easy

Step-by-step explanation:

substitute x to 150

=0.00125(x)^4+x-3

=0.00125(150)^4+150-3

WE ARE USING PEDMAS HERE SO BE CARE-FULL <u>parenthesis,exponent,multiplication,division,addition,subtraction</u>

<u>=0.00125(506250000)+150-3</u>

<u>=632812.50+150-3</u>

=<u>632962.50-3</u>

=<u>632959.50</u>

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I AM SO SORRY IF IT IS WRONG :)

3 0
3 years ago
Which is an equation of a circle with center (5, 0) that passes through the point (1, 1)
alex41 [277]

Equation of circle at center (h,k) is given by

(x-h)^2+(y-k)^2=r^2

Given that center is at (5,0) that means h=5 and k=0

plug both values into above formula

(x-5)^2+(y-0)^2=r^2

(x-5)^2+y^2=r^2 ...(i)

Given that circle passes through point (1,1) so it will satisfy above equation

(1-5)^2+1^2=r^2

(-4)^2+1^2=r^2

16+1=r^2

17=r^2

Now plug this value of r^2 into equation (i)

(x-5)^2+y^2=17

which best matches with choice C

Hence (x-5)^2+y^2=17 is the final answer.

7 0
3 years ago
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