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3 years ago

What is 859 under a thousand as a mixed number?

1 answer:

6 0

To convert the improper fraction $\frac{1000}{859}$ into a mixed number, you first want to divide the numerator (1000) by the denominator (859):
$1000 \div 859 = 1 R141$

The quotient, which is 1, will be your whole number part of your mixed number. The remainder, 141, will become the numerator of the fraction part of your mixed number. The original denominator of your improper fraction, 859, is still the denominator of your mixed number. So your mixed number form of your improper fraction is:
$\frac{1000}{859} = 1 \frac{141}{859}$

Your answer is $1 \frac{141}{859}$

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Solve the formula for the specified variable.<br> W=1/3TS<br> solve for t

Elenna [48]

ANSWER

$T = \frac{3W}{S}$

EXPLANATION

The given formula is

$W = \frac{1}{3} TS$

We want to solve for T in the given formula.

We multiply through by 3 first to get,

$3 \times W =3 \times \frac{1}{3} TS$

We simplify to get,

$3W = TS$

We now divide both sides by S to get,

$\frac{3W}{S} = \frac{ TS}{S}$

We simplify to obtain:

$\frac{3W}{S} = T$

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4 years ago

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4 years ago

How do you do<br>8(4x+7)=56

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4 years ago

Jamie used the distributive property to find the product of s(t) and h(t). His work was marked incorrect. Identify Jamie's mista

SSSSS [86.1K]

Complete Question:

Jamie used the distributive property to find the product of s(t) and h(t). His work was marked incorrect. Identify Jamie's mistake. What advice would you give Jamie to avoid this mistake in the future?

s(t)•h(t)= (3x-4)(2x-8)

= 6x² - 24x -8x - 32

= 6x² - 32x - 32

Answer:

Jamie made a mistake in his second line (6x² - 24x -8x - 32), by wrongly multiplying the operation signs. The last term should be +32, not -32.

Advice: Jamie should take note of the rule that applies when multiplying signs.

Step-by-step Explanation::

To find out where exactly Jamie made mistake, let's find the product of the given functions, step by step:

s(t)•h(t)= (3x-4)(2x-8)

Using distributive property, do the following:

$3x(2x - 8) -4(2x - 8)$

$3x*2x -3x*8 -4*2x -4*-8$

$6x^2 - 24x - 8x + 32$ (this is where Jamie made mistake. -4 * -8 = +32. NOT -32.)

Add like terms

$6x^2 - 32x + 32$

Jamie made a mistake in multiplying negative × negative. The last term in "6x² - 24x -8x - 32", should be +32. Negative × negative = +.

Therefore, it is advisable for Jamie to always take note of the rule that applies when multiplying signs.

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3 years ago