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2 years ago

The following table shows how far a bus has gone in t hours. Which of the following equations represents this information?

Mathematics

1 answer:

drek231 [11]2 years ago

5 0

Step-by-step explanation:

You need to attach the table in order to get an answer.

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5. The ancient Babylonians were writing fractions in 1800 BCE. But they did

ankoles [38]

Answer:

The Babylonians employed a number system based around values of 60, and they developed a specific sign—two small wedges—to differentiate between magnitudes in the same way that modern decimal-based systems use zeros to distinguish between tenths, hundreds and thousandths.

4 0

3 years ago

Which expression is equivalent to (16 x Superscript 8 Baseline y Superscript negative 12 Baseline) Superscript one-half?.

loris [4]

To solve the problem we must know the Basic Rules of Exponentiation.

<h2>Basic Rules of Exponentiation</h2>

$x^ax^b = x^{(a+b)}$
$\dfrac{x^a}{x^b} = x^{(a-b)}$
$(a^a)^b =x^{(a\times b)}$
$(xy)^a = x^ay^a$

$x^{\frac{3}{4}} = \sqrt[4]{x^3}= (\sqrt[3]{x})^4$

The solution of the expression is $\dfrac{4x^4}{y^6}$ .

<h2>Explanation</h2>

Given to us

$(16x^8y^{12})^{\frac{1}{2}}$

Solution

We know that 16 can be reduced to $2^4$ ,

$=(2^4x^8y^{12})^{\frac{1}{2}}$

Using identity $(xy)^a = x^ay^a$ ,

$=(2^4)^{\frac{1}{2}}(x^8)^{\frac{1}{2}}(y^{12})^{\frac{1}{2}}$

Using identity $(a^a)^b =x^{(a\times b)}$ ,

$=(2^{4\times \frac{1}{2}})\ (x^{8\times\frac{1}{2}})\ (y^{12\times{\frac{1}{2}}})$

Solving further

$=2^2x^4y^{-6}$

Using identity $\dfrac{x^a}{x^b} = x^{(a-b)}$ ,

$=\dfrac{2^2x^4}{y^6}$

$=\dfrac{4x^4}{y^6}$

Hence, the solution of the expression is $\dfrac{4x^4}{y^6}$ .

Learn more about Exponentiation:

brainly.com/question/2193820

8 0

3 years ago

Find four consecutive odd integers such that 3 times the sum of the 1st and 2nd is 15 less than the fourth

jeka94

Answer: How do you find you four consecutive odd integers such as three times the sum of the first and the second is 15 less than the fourth?

Step-by-step explanation: So, the normal consecutive integers numbers are: 2,3,4,5. And the even consecutive integers numbers are: 2,4,6,8. And the odd consecutive integers are: 3,5,7,9. Consecutive integers formula are the algebraic representations of the consecutive integers. The formula to get a consecutive integer is n + 1.

Same as above, 7 is one of 4 consecutive integers, then the result is only 4 cases:

, 5, 6, 7

, 6, 7, 8

, 7, 8, 9

, 8, 9, 10

Hope this helps.

7 0

2 years ago

At a baseball game, a vender sold a combined total of 104 sodas and hot dogs. the number of sodas sold was three times the numbe

Reil [10]

You have to set up a system of equations

x+y=104
3x-y=104

Sodas = 78
Hotdogs = 26

7 0

4 years ago

Help? I will give you brainliest, if your answer was correct.

bija089 [108]

Answer:

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers