MATHEMATICS HIGH SCHOOL

How do you solve 5[2p−4(p+5)]=25 properly?

Answers

Answer 1
Answer:

Answer:

Step-by-step explanation:

5[2p-4(p+5)]=25

or, 2p-4(p+5)=5

or, 2p-4p-20=5

or, -2p=5+20

or, -2p=25

or, 2p=-25

or, p=25/2

so, p=12.5

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How to know where the ( ) go in a math problem

Answers

i hope this helps

the brackets can represent multiplication or group large
for example

5 × 4 + 7 × 9
(5 × 4) + (7 × 9)
20 + 63
= 83

or

73 + 92 + 54 + 96 × 6

(73 + 92) + (54 + 96) × 6

165 + 150 × 6

315 × 6

= 1890
Also
2(3)=6 show as multiplication

Choose an equation of a line through the point (-4, 1) perpendicular to y=−12x+3.

Answers

Answer:

y = (1)/(12)x + (4)/(3)

Step-by-step explanation:

slope of perpendicular line: m = (1)/(12)

solve for b:

1 = (1)/(12)(-4) + b

solve parenthesis:

1 = -(1)/(3)+b

add (1)/(3) to both sides:

b = (4)/(3)

final equation: y = (1)/(12)x + (4)/(3)

Kevin can travel 22 1/2 miles in 1/3 hour. what is his average speed in miles per hour?

Answers

(22 (1)/(2) \ mi)/( (1)/(3) \ h)=((45)/(2) \ mi)/((1)/(3) \ h)=(45)/(2) * 3 \ (mi)/(h)=(135)/(2) \ (mi)/(h)=\boxed{67 (1)/(2) \ (mi)/(h)}

His average speed is 67.5 mph.

Answer:

The answer would be 67 and 1/2

Step-by-step explanation: I really hope this helps:)

12 divided by 8 into a mixed number

Answers

Hi there, to turn a fraction into a mixed number we divide the numerator by the denominator, write down the whole number, and then right down the remainder. In this case, we divide the numerator which is 12 and 8 which is the denominator which is 8, 12 divided by 8 equals 1.5, 1 will be the whole number, 4 will be the numerator, and 8 will be the denominator. So, we get 1 4/8. Therefore, 12/8 as a mixed number is 1 4/8.

Sandy has 16 roses,8 daisies, ando 32 tulips. She wants to arrange al the flowers in boutiquets. Each buquet has the dame númber ofrece flowers and the same type ofrece flower. What is the greatest number of flowers that could be in a bouquet

Answers

Answer:

8 flowers is the greatest number that can be in each buquet.

Step-by-step explanation:

Sandy has

  • 16 roses.
  • 8 daisies.
  • 32 tulips.

She wants to arrange these type of flowers in buquets, but she wants to have equal number of flowers in each buquet.

To answer this question, we have to calculate the Greatest Common Factor (GCF), which is the largest number that can divide 16, 8 and 32.

To calculate the GCF we write down the divisors of all numbers

8: 1, 2, 4, 8.\n16: 1, 2, 4, 8, 16.\n32: 1, 2, 4, 8, 16, 32

You can observe that the largest common number that divides equally all three numbers is 8.

Therefore, the greatest number of flowers that could be in a bouquet is 8.

7 because

6+8+32 =56 total of flowers and if you divided into bouquets you would have 8 bouquets each 2 roses 1 daisy and 4 tulips


Given the function f(x)=0.3(4)x
what is the value of
f−1(6)

a. 0.360
b. 1.242
c. 2.161
d. 2.312

Answers

For this case we have the following function:
 f (x) = 0.3 (4) ^ x
 Rewriting we have:
 y = 0.3 (4) ^ x
 From here, we clear the value of x:
 (4) ^ x = y / 0.3log4 ((4) ^ x) = log4 (y / 0.3)
 Rewriting we have:
 x = log4 (y / 0.3)
 Therefore, the inverse function is given by:
 f ^ {-1} (x) = log4 (x / 0.3)
 For x = 6 we have:
 f ^ {-1} (6) = log4 (6/0.3)f ^ {-1} (6) = 2.161
 Answer:
 is the value of f^-1(6) is:
 c. 2.161

f(x)=0.3(4)^x

f^-1(x) = ?

x = 0.3(4)^y

4^y = x/0.3

4^y = 6/0.3

4^y = 20

y = 2.161
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