MATHEMATICS HIGH SCHOOL

Which of these is a simplified form of the equation 9p + 3 = − p + 7 + 2p + 3p?5p = 4

15p = 10

9 = 4

12 = 13

Answers

Answer 1
Answer:

Answer:

Option (a) is correct.

5p = 4

Step-by-step explanation:

Given : equation 9p + 3 = − p + 7 + 2p + 3p

We have to simplify the given equation 9p + 3 = − p + 7 + 2p + 3p.

Consider the given equation 9p + 3 = − p + 7 + 2p + 3p

Like terms are terms having same variable with same power.

Adding like terms, we get,

9p + 3 = 7 + 4p

Subtract 4p both isde, we have,

9p - 4p + 3 = 7 + 4p -4p

Simplify, we get,

5p + 3 = 7

Subtratc 3 both isde, we have,

5p = 4

Thus, option (a) is correct.
Answer 2
Answer: Move all the p's to one side and the number to the other side: 9p + p - 2p - 3p = 7 - 3 5p = 4

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Answers

Answer:

∠EFG = 48°

Step-by-step explanation:

As FH bisects ∠EFG , ∠EFH = ∠HFG .

We know that ∠EFH = (-5x + 89)° . So ∠HFG = ∠EFH = (-5x + 89)°

Also, ∠HFG  + ∠EFH = ∠EFG

=> 2(-5x + 89)° = (61 - x)°

=> -10x + 178 = 61 - x

=> 10x - x = 178 - 61

=> 9x = 117

=> x = 117 / 9 = 13

Putting the value of 'x' in ∠EFG gives :-

(61 - x)° = (61 - 13)° = 48°

Decrease 40 by 12.5%

Answers

Answer:

35

Step-by-step explanation:

Multiply 40 by 0.125 (12.5%) and you get 5

Subtract 5 from 40

35

The millers drove 150 miles in 3 hours howblong will it take to drive 400 miles

Answers

150/3 = 50 miles/hr
So 400/50 = 8 hr
The answer is 8 hours.

A triangle has side lengths of 8x+4cm,9x-4y cm ,and 10-7y cm find the perimeter

Answers

Answer:

17x + 14 - 11y cm. I think check before taking my answer seriously I may be wrong

Express
2 ^( - 7)
using a positive exponent.​

Answers

Answer:

(1)/(2^7)

Step-by-step explanation:

To express the number 2⁻⁷ with a positive exponent, we'll make use of the properties of exponents and their relationship with reciprocals.

\hrulefill

Here's a list of the exponent properties:

\boxed{\left\begin{array}{ccc}\text{\underline{Properties of Exponents:}}\n\n1.\ a^0=1\n\n2.\ a^m * a^n=a^(m+n)\n\n3.\ a^m / a^n \ ((a^m)/(a^n) )=a^(m-n)\n\n4.\ (ab)^m=a^mb^m\n\n5.\ (a/b)^m=a^m/b^m\n\n6.\ (a^m)^n=a^(mn)\n\n7.\ a^(-m)=1/a^m\n\n8.\ a^(m/n)=(\sqrt[n]{a} )^m\end{array}\right}

In our case, we will use the reciprocal identity (#7 on the table above).

a^(-m)=(1)/(a^m) \n\n\n\n\therefore 2^(-7)=\boxed{(1)/(2^7) }

Thus, we can represent 2⁻⁷ as a positive exponent .

A theater needs to place seats in rows. The function, f(r) as shown below can be used to determine the number of seats in each row, where r is the row number.f(1) = 8
f(r) = f(r – 1) + 3
Use the function to complete the table indicating the number of seats in each row for the first four rows of the theater.

Answers

The row counts start at eight and count up by three:

f(1)=8
f(2)=f(2-1)+3=f(1)+3=8+3=11
f(3)=f(3-1)+3=f(2)+3=11+3=14
f(4)=f(4-1)+3=f(3)+3=14+3=17
.
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.
and so on.
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