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3 years ago

PLEASE HELP !!! WILL BE MARKED AS BRAINLIST !! PLEASE !!!!

Mathematics

2 answers:

GrogVix [38]3 years ago

8 0

x is 280........................

klio [65]3 years ago

7 0

It been a while since I've done these, so hopefully it's correct :)

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Simplify the expression so there is only one positive power for each base.

katen-ka-za [31]

Answer:

Option (A)

Step-by-step explanation:

The given expression is,

$(5^{-2}\times 4^{-4})^{-2}$

Since $x^{-1}=\frac{1}{x}$ and $\frac{1}{x^{-1}}=x$

$5^{2}=\frac{1}{5^{-2}}$

$4^{2}=\frac{1}{4^{-2}}$

Therefore, $(5^{-2}\times 4^{-4})^{-2}=\frac{1}{(5^{-2}\times 4^{-4})^{2}}$

$=\frac{1}{(5^{-2})^2\times (4^{-4})^2}$

$=\frac{1}{5^{-4}\times 4^{-8}}$

$=\frac{1}{5^{-4}}\times \frac{1}{4^{-8}}$

$=5^{4}\times 4^{8}$

Option (A) will be the answer.

8 0

2 years ago

Mike is training for a cross country bike ride. He rides his bike 60 miles, 66 miles, 70 miles, 60 miles, and 51 miles on the fi

forsale [732]

Answer:

47 miles

Step-by-step explanation:

The formula for Mean = Sum of values/Number of values

Number of values is 6

From the above question, we are only given 5 values,

The 6th value is represent as= x

Hence,

60 miles + 66 miles+ 70 miles+ 60 miles+ 51 miles + x miles/6 = 59 miles

Cross Multiply

60 miles + 66 miles+ 70 miles+ 60 miles+ 51 miles + x miles = 6 × 59 miles

307 miles + x miles = 354 miles

x miles = 354 miles - 307 miles

x miles = 47 miles

Therefore, the number of miles he need to run on day 6 is 47 miles

8 0

2 years ago

The least common multiple of two numbers is 20. The difference of the two numbers is 1.

nevsk [136]

The answer is 5. The two numbers are 5 and 4
5 x 4 = 20
5 - 4 = 1

6 0

3 years ago

Jacob went on a fishing trip. This year he caught 30 fish, which is six more than twice the number he caught last year. How many

NARA [144]

Answer:

12 fish

Step-by-step explanation:

You need to work this problem backwards. If he caught 30 fish, which was six more than twice the number he caught last year, you would start by subtracting six, leaving you with 24. Then you'd have to divide by 2, because it was twice plus six as many fish, which would give you 12 fish.

$\frac{30-6}{2}$ = x

$\frac{24}{2}$ = x

12 = x

5 0

2 years ago

Write an expression equivalent to (7x + 5) - (3x - 5)

KiRa [710]

Answer:

= 2(2x + 5)

Step-by-step explanation:

Given that:

= (7x + 5) - (3x - 5)

By simplifying

"-" sign before bracket will alter the inner signs

= 7x + 5 - 3x + 5

Adding like terms

= 4x + 10

By taking 2 common we get:

= 2(2x + 5)

i hope it will help you!

6 0

2 years ago