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3 years ago

an object is traveling at a steady speed of 10 1/5 km/h. how long will it take the object to travel 4 4/5

Mathematics

1 answer:

zaharov [31]3 years ago

6 0

Incomplete question but the comnplete question is how long will it take the object to travel 4 4/5km

Answer: time taken for the object to travel = 0.47 hrs

Step-by-step explanation:

Step 1 -- The formulae to represent the relationship of speed, distance and time .

Speed = Distance / Time

Where Speed = 10 1/5 km/h

Distance = 4 4/5 km

Step 2 --- Solving

Time = Distance / Speed

= 4 4/5 km / 10 1/5 km/h

= 24/ 5 x 5/ 51 = 24/51 =0.47 hrs

4. 8 / 10.2 = 0.47 hrs

Therefore the time taken for the object to travel = 0.47 hrs

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8 ^ x * 16 ^ x - 1 equals 1

Lana71 [14]

Answer:

${8}^{x} \times {16}^{x } - 1 = 1 \\ {2}^{3x} \times {2}^{4x} = 1 + 1 \\ {2}^{7x} = {2}^{1} \\ 7x = 1 \\ x = \frac{1}{7}$

7 0

3 years ago

Stanley has a collection of seashells. He found 35% of his collection on Florida beaches. If Stanley has 49 seashells from Flori

Serjik [45]

Answer:

The number of seashells he have in his collection all together is 140.

Step-by-step explanation:

Given:

Stanley has a collection of seashells. He found 35% of his collection on Florida beaches.

Stanley has 49 seashells from Florida.

Now, to find the number of seashells of his collection altogether.

Let the number of seashells all together be $x.$

Percentage of seashells found on Florida beaches = 35%.

Number of seashells found on Florida beaches = 49.

Now, to get the number of seashells altogether we put an equation:

$35\%\ of\ x=49.$

⇒ $\frac{35}{100} \times x=49$

⇒ $0.35\times x=49$

⇒ $0.35x=49$

Dividing both sides by 0.35 we get:

⇒ $x=140.$

Therefore, the number of seashells he have in his collection all together is 140.

4 0

3 years ago

Is 3 a factor of 12 yes or no

FinnZ [79.3K]

Answer:

Yes

Step-by-step explanation:

Yes, 3 is a factor of 12.

4 0

3 years ago

Read 2 more answers

Help ASAP show work please thanksss!!!!

Llana [10]

Answer:

$\displaystyle log_\frac{1}{2}(64)=-6$

Step-by-step explanation:

<u>Properties of Logarithms</u>

We'll recall below the basic properties of logarithms:

$log_b(1) = 0$

Logarithm of the base:

$log_b(b) = 1$

Product rule:

$log_b(xy) = log_b(x) + log_b(y)$

Division rule:

$\displaystyle log_b(\frac{x}{y}) = log_b(x) - log_b(y)$

Power rule:

$log_b(x^n) = n\cdot log_b(x)$

Change of base:

$\displaystyle log_b(x) = \frac{ log_a(x)}{log_a(b)}$

Simplifying logarithms often requires the application of one or more of the above properties.

Simplify

$\displaystyle log_\frac{1}{2}(64)$

Factoring $64=2^6$ .

$\displaystyle log_\frac{1}{2}(64)=\displaystyle log_\frac{1}{2}(2^6)$

Applying the power rule:

$\displaystyle log_\frac{1}{2}(64)=6\cdot log_\frac{1}{2}(2)$

Since

$\displaystyle 2=(1/2)^{-1}$

$\displaystyle log_\frac{1}{2}(64)=6\cdot log_\frac{1}{2}((1/2)^{-1})$

Applying the power rule:

$\displaystyle log_\frac{1}{2}(64)=-6\cdot log_\frac{1}{2}(\frac{1}{2})$

Applying the logarithm of the base:

$\mathbf{\displaystyle log_\frac{1}{2}(64)=-6}$

5 0

3 years ago

Jean can pack 5 cartons in 15 minutes. Which expression can be used to show the number of cartons Jean can pack in x hours? Grou

nadezda [96]

Answer: 20x

Step-by-step explanation:

First we should note that 60 minutes = 1 hour. Therefore, 15 minutes = 15/60 = 1/4 hour

Since Jean can pack 5 cartons in 1/4 hours, the number of carton that he can pack in one hour will be:

= 5 ÷ 1/4

= 5 × 4

= 20 cartons.

Therefore, to get the number of cartons that Jean can pack in x hours, we will multiply 20 by x. This will be:

= 20 × x

= 20x

6 0

3 years ago