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3 years ago

A single box of thumb tacks weighed 3 1

Mathematics

1 answer:

emmasim [6.3K]3 years ago

5 0

$3 \frac{1}{2} *4 \frac{1}{7} = \frac{7}{2} * \frac{29}{7} = \frac{29}{2} = 14\frac{1}{2} =14.5$

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If 6^4x = 82, what is the value of x?<br> Round your answer to three places.

neonofarm [45]

Answer:

$x=0.61485921$

Step-by-step explanation:

The given equation is in exponential form:

$6^{4x} =82$

To find $x$ we need to write it in logarithmic form:

$b^{a} =n$ ⇒ $log_{b} n=a$

$6^{4x} =82$ ⇒ $log_{ 6 } 82=4x$

$2.45943684 = 4x$

$\frac{2.45943684}{4} = x$

$0.61485921 =x$

To prove this, we can substitute the value into the given equation

$6^{4x} =82$

$6^{4(0.61485921)} =82$

$82=82$

Therefore, the answer is $x=0.61485921$

6 0

3 years ago

Mike began with $20 in savings and increased his savings by $10 every month. Lindsay began with $5 in savings and doubled her sa

MrMuchimi

Answer:

Lindsay...................................

3 0

3 years ago

on a certain hot Summer's Day 613 people use the public swimming pool the daily prices are $1.75 for children $2.25 for adults t

Elodia [21]

389 children and 224 adults were at the pool that day.

Step-by-step explanation:

Cost of one child ticket = $1.75

Cost of one adult ticket = $2.25

Total people = 613

Total receipts worth = $1184.75

Let,

Number of children = x

Number of adults = y

According to given statement;

x+y=613 Eqn 1

1.75x+2.25y=1184.75 Eqn 2

Multiplying Eqn 1 by 1.75

$1.75(x+y=613)\\1.75x+1.75y=1072.75\ \ \ Eqn\ 3$

Subtracting Eqn 3 from Eqn 2

$(1.75x+2.25y)-(1.75x+1.75y)=1184.75-1072.75\\1.75x+2.25y-1.75x-1.75y=112.00\\0.50y=112.00$

Dividing both sides by 0.50

$\frac{0.50y}{0.50}=\frac{112.00}{0.50}\\y=224$

Putting y=224 in Eqn 1

$x+224=613\\x=613-224\\x=389\\$

389 children and 224 adults were at the pool that day.

Keywords: linear equation, subtraction

Learn more about linear equations at:

#LearnwithBrainly

6 0

3 years ago

the value of the building owned by two veterinarians went from 125000 to 117500. What is the percent decrease

sergij07 [2.7K]

The decrease:
125000 - 117500 = 7500

Percentage of decrease = 7500/125000 x 100 = 6%

3 0

3 years ago

Just some questions I need answered!

Anni [7]

4z>-60

divideby 4

z>-15

x+19 <=-5

subtract 19 from each side

x<= -24

7 0

3 years ago