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3 years ago

Please answer If I get this right I'm done for the week I will give brainiest if you're right!!!

Mathematics

2 answers:

Evgen [1.6K]3 years ago

6 0

Answer:

they are not equivilent

Step-by-step explanation:

Hatshy [7]3 years ago

4 0

Answer:

The answer is true.

Step-by-step explanation:

$\frac{4}{6} = \frac{14}{21} \\ 84 = 84$

Because the last equation, 84=84, is true, then the ratios are true.

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Ok needed asap and likee go in order

Ksenya-84 [330]

Answer:

4. A

5. B

6. C

Step-by-step explanation:

In total there are 12 possible shakes.

The combinations are:

ice cream - pineapple - peanuts

ice cream - pineapple - granola

ice cream - strawberry - peanuts

ice cream - strawberry - granola

ice cream - banana - peanuts

ice cream - banana - granola

yogurt - pineapple - peanuts

yogurt - pineapple - granola

yogurt - strawberry - peanuts

yogurt - strawberry - granola

yogurt - banana - peanuts

yogurt - banana - granola

Therefore the chance is 1/12 for the combination ice cream, pineapple and granola.

To find the total possible outcomes, count the last value in the tree diagram. There are 8 possible outcomes.

Find the total number of balls by adding each of the colours.

1 + 3 + 8 = 12

There is 1 red ball. The probability of getting a red ball out of the total is 1/12.

The probability in words ordered in comparison to the fractions:

impossible-----unlikely------------likely-------------certain

0/12------------ 1/12--5/12--------7/12---11/12----------12/12

Since 1/12 is between 1/12 and 5/12, the possibility is unlikely.

8 0

3 years ago

Match the numerical expressions to their simplest forms.

Aloiza [94]

Answer:

$(a^6b^1^2)^\frac{1}{3}$ = $a^2b^4$

$\frac{(a^5b^3)^\frac{1}{2}}{(ab)^-^\frac{1}{2}}$ = $a^3b^2$

$(\frac{a^5}{a^-^3b^-^4})^\frac{1}{4}$ = $a^2b$

$(\frac{a^3}{ab^-^6})^\frac{1}{2}$ = $ab^3$

Step-by-step explanation:

Simplify each of the expressions:

$(a^6b^1^2)^\frac{1}{3}$

Distribute the exponent. Multiply the exponent of the term outside of the parenthesis by the exponents of the variable.

$(a^6b^1^2)^\frac{1}{3}$

$a^6^*^\frac{1}{3}b^1^2^*^\frac{1}{3}$

Simplify,

$a^2b^4$

Use a similar technique to solve this problem. Remember, a fractional exponent is the same as a radical, if the denominator is (2), then the operation is taking the square root of the number.

$\frac{(a^5b^3)^\frac{1}{2}}{(ab)^-^\frac{1}{2}}$

Rewrite as square roots:

$\frac{\sqrt{a^5b^3}}{\sqrt{(ab)}^-^1}$

A negative exponent indicates one needs to take the reciprocal of the number. Apply this here:

$\frac{\sqrt{a^5b^3}}{\frac{1}{\sqrt{ab}}}$

Simplify,

$\sqrt{a^5b^3}*\sqrt{ab}$

Since both numbers are under a radical, one can rewrite them such that they are under the same radical,

$\sqrt{a^5b^3*ab}$

Simplify,

$\sqrt{a^6b^4}$

Since this operation is taking the square root, divide the exponents in half to do this operation:

$a^3b^2$

$(\frac{a^5}{a^-^3b^-^4})^\frac{1}{4}$

Simplify, to simplify the expression in the numerator and the denominator, the base must be the same. Remember, the base is the number that is being raised to the exponent. One subtracts the exponent of the number in the denominator from the exponent of the like base in the numerator. This only works if all terms in both the numerator and the denominator have the operation of multiplication between them:

$(\frac{a^8}{b^-^4})^\frac{1}{4}$

Bring the negative exponent to the numerator. Change the sign of the exponent and rewrite it in the numerator,

$(a^8b^4)^\frac{1}{4}$

This expression to the power of the one forth. This is the same as taking the quartic root of the expression. Rewrite the expression with such,

$\sqrt[4]{a^8b^4}$

SImplify, divide the exponents by (4) to simulate taking the quartic root,

$a^2b$

$(\frac{a^3}{ab^-^6})^\frac{1}{2}$

Using all of the rules mentioned above, simplify the fraction. The only operation happening between the numbers in both the numerator and the denominator is multiplication. Therefore, one can subtract the exponents of the terms with the like base. The term in the denomaintor can be rewritten in the numerator with its exponent times negative (1).

$(a^3^-^1b^(^-^6^*^(^-^1^)^))^\frac{1}{2}$

$(a^2b^6)^\frac{1}{2}$

Rewrite to the half-power as a square root,

$\sqrt{a^2b^6}$

Simplify, divide all of the exponents by (2),

$ab^3$

7 0

3 years ago

When sales of a particular hybrid automobile reach 60,000 units, federal income tax credits begin to phase out. One year after r

SCORPION-xisa [38]

Answer:

$750

Step-by-step explanation:

so, in short, we need to calculate 25% of $3000.

that is the amount of tax credit a buyer would get then.

direct and fast answer :

25% means 1/4 of the overall amount.

$3000 / 4 = $750

now, a little bit longer to explain % calculations in general.

let's say, we are talking 27%. now we have a problem to find a fast fraction as factor.

it always starts with the identification of 100%.

what is the full starting amount we are dealing with ? that is the 100%.

in our case $3000.

now, as a base for the calculation we determine 1%, which is 1/100 of 100%, of course.

1% = $3000 / 100 = $30

to get said 27% we have to multiply this by 27

27% = 1% × 27 = $30 × 27 = $810

or in general

x% = 100% × x / 100

that also works for more complex questions. e.g. calculate 1.5%

1.5% = $3000 × 1.5 / 100 = $30 × 1.5 = $45

and that is all there is to % calculations. all the questions are just some variations, where your are missing one of the 3 "ingredients" : 100% amount, x% amount and x itself.

and you need to transform the general equation above to get the missing piece of of the given information.

3 0

2 years ago

Is -7/8 equivalent to 8 / -7

alexandr402 [8]

Answer:

Step-by-step explanation:

Because -7/8= -0.875, while 8/-7= -1.142

3 0

3 years ago

Read 2 more answers

Solve for x (hint - use the quadratic formula):