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3 years ago

Hi!

Mathematics

1 answer:

mina [271]3 years ago

5 0

log_8(2) + log_8(4x^2) = 1

(adding logs of the same base is multiplying the insides of each of the logs)

log_8(8x^2) = 1

(the base raised to the exponent is equal to the inside of the logarithm)

8^1 = 8x^2

8 = 8x^2

1 = x^2

x = -1; x = 1

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Can anyone help me with this problem???

jasenka [17]

Note that x is the hypotenuse of a right triangle. Applying the Pyth. Thm.,

x^2 = 2^2 + 6^2, or x^2 = 4 + 36 = 40.

Thus, the hypotenuse is +sqrt(40), or 2sqrt(10).

8 0

3 years ago

BRAINLIEST ANSWER!! The product of 3, and a number increased by seven, is -36. Translate the equation, then solve.

EleoNora [17]

Product is multiplication.

Let the number = x

3 *( X+7) = -36

Use distributive property:

3x +21 = -36

Subtract 21 from each side:

3x = -57

Divide both sides by 3:

x = -57 /3

x = -19

Check: 3 * (-19 +7) = 3 * -12 = -36

The number is -19

4 0

3 years ago

Shaq painted 600 portraits in 8 hours at that rate how many portraits would he paint in 4 minutes?

Deffense [45]

Answer: In 4 minutes he will make 5 portraits

Step-by-step explanation:

$\large \boldsymbol{} 600p-8h=480 min \\\\ x \ p-4 min \\\\ x=\dfrac{600\cdot 4}{480} =\dfrac{2400}{480} =5 \ portraits \\\\ \rm Answer : 5$

3 0

3 years ago

A school district transported a total of 409 students and teachers to a zoo in buses and vans.

valina [46]

Answer: There are 385 students and teachers who rode to the zoo in buses and 24 students and teachers who rode to the zoo in trains.

Step-by-step explanation:

Since we have given that

Total number of students and teachers = 409

Let the number of vans be x

Let the number of buses be x+5

Number of students and teachers each bus transported = 55

Number of students and teachers each van transported = 12

According to question,

$55(x+5)+12x=409\\\\55x+275+12x=409\\\\67x=409-275\\\\67x=134\\\\x=\frac{134}{67}\\\\x=2$

Total number of students and teachers who rode to the zoo in buses will be

$55(x+5)\\\\=55(2+5)\\\\=55\times 7\\\\=385$

Total number of students and teachers who rode to the zoo in vans will be

$12x\\\\=12\times 2=24$

Hence, there are 385 students and teachers who rode to the zoo in buses and 24 students and teachers who rode to the zoo in trains.

6 0

3 years ago

If there were 49 cars in a line that stretched 528 feet, what is the average car length? assume that the cars are lined up bumpe

lakkis [162]

If there were 49 cars in a line that stretched 528 feet, what is the average car length? assume that the cars are lined up bumper-to-bumper

Answer: We are given there are 49 cars

Also these 49 cars are in a line stretched 528 feet.

Now the average length of the car is:

Average length = $\frac{(length-covered-by-49-cars)}{Number-of-cars}$

= $\frac{528}{49}=10.78$

Therefore, the average length of car is 10.78 feet

6 0

3 years ago