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3 years ago

What is the answer to this equation? 2 x(12 + 4) - 49 ?

1 answer:

Volgvan3 years ago

4 0

<h2>Hey there!</h2><h2> $\bold{Distribute\downarrow}\\ \bold{2x(12) + 2x(4) -49}\\ \bold{2x(12)=24x}\\ \bold{2x(4) =8x}\\ \bold{24x+8x-49}\\\\\bold{Combine\ your\ like\ terms \downarrow}\\\bold{(24x + 8) + (-49)}\\\bold{24x+8=32x}\\\bold{-49 =-49}\\\\\\ \\ \boxed{\bold{Possible\ answer\ \#1: 32x - 49}}\checkmark$ </h2><h2 /><h2> $\bold{Do\ PEMDAS\ to\ solve\downarrow}\\\bold{2(12+4) -49}\\\bold{12+4=16}\\\bold{2(16)-49}\\\bold{2(16)=32}\\\bold{32-49=-17}\\ \\ \\ \\ \\ \boxed{\bold{Possible\ answer\ \#2: -17}}}\checkmark$ </h2><h2> $\bold{Note\downarrow}\\\bold{PEMDAS\ means......}\\\\\bold{Parentheses}\\\bold{Exponents} \\\bold{Multiplication}\\\bold{Division} \\\bold{Addition}\\\bold{Subtraction}$ </h2><h2>Good luck on your assignment and enjoy your day! </h2><h3>~ $\frak{LoveYourselfFirst:)}$ </h3>

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A dairy wishes to mix together 1,000 pints of milk that contains 8% butterfat.If the mixture is to be made from milk containing

3241004551 [841]

Answer:

<u>800 pints</u> of 5% butterfat and <u>200 pints</u> of 20% butterfat is needed.

Step-by-step explanation:

Given:

A dairy wishes to mix together 1,000 pints of milk that contains 8% butterfat.

If the mixture is to be made from milk containing 5% butterfat, and cream

containing 20% butterfat.

Now, to find the pints of each is needed.

Let the pints of 5% butterfat be $x.$

And the pints of 20% butterfat be $y.$

<em>So, the total pints of milk:</em>

$x+y=1000$

$x=1000-y$ ......(1)

<em>As, given:</em>

<em>1,000 pints of milk that contains 8% butterfat.</em>

<em>The mixture of milk containing 5% butterfat, and cream containing 20% butterfat.</em>

According to question:

$5(x)+20(y)=8(1000)$

$5x+20y=8000$

Substituting the value of $x$ from equation (1):

$5(1000-y)+20y=8000$

$5000-5y+20y=8000$

$5000+15y=8000$

<em>Subtracting both sides by 5000 we get:</em>

$15y=3000$

<em>Dividing both sides by 15 we get:</em>

$y=200.$

<em>The pints of 20% butterfat = 200 pints.</em>

Now, to get the pints of 5% butterfat we put the value of $y$ in equation (1):

$x=1000-y$

$x=1000-200$

$x=800.$

<em>The pints of 5% butterfat = 800 pints.</em>

Therefore, 800 pints of 5% butterfat and 200 pints of 20% butterfat is needed.

8 0

3 years ago

Question in attachment

sdas [7]

Answer:

a₁ = 6

Step-by-step explanation:

The sum to n terms of a geometric sequence is

$S_{n}$ = $\frac{a_{1}(r^{n}-1) }{r-1}$

where a₁ is the first term and r the common ratio

Here $S_{8}$ = 1530 and r = 2, thus

$\frac{a_{1}(2^{8}-1) }{2-1}$ = 1530 , that is

a₁ (256 - 1) = 1530

255a₁ = 1530 ( divide both sides by 255 )

a₁ = 6

8 0

3 years ago

After a storm damages the community center, Shanika and her friends hold fundraising

Inessa [10]

Answer:

The total amount of money Shanika and her friends want to raise is <u>$2400</u>.

Step-by-step explanation:

Given:

After a storm damages the community center, Shanika and her friends hold fundraising.

After the first event, they raise $240, which is 10% of the total amount that they want to raise.

Now, to find the total amount of money that Shanika and her friends want to raise.

Let the total amount of money that Shanika and her friends want to raise be $x$ .

As given 10% of fundraise is $240.

So, according to question:

$10\%\ of\ x=\$240.$

$\frac{10}{100}\times x=240$

$\frac{10x}{100}=240.$

<em>Multiplying both sides by 100 we get:</em>

$10x=24000.$

<em>Dividing both sides by 10 we get:</em>

$x=\$2400.$

Therefore, the total amount of money Shanika and her friends want to raise is $2400.

3 0

3 years ago

Explain how you can use division to simplify a complex fraction.

PolarNik [594]

Reduce the final answer if needed (or reduce when you multiply). A mixed number should be converted to an improper fraction (heavier on top) before simplifying. Change the numerator and denominator to single fractions<span> by creating a common denominator</span>

3 0

3 years ago

The volume of a sphere can be described by the following formula, where V = volume and r = radius of the sphere.

Anika [276]

Option C: $r = \sqrt[3]{\frac{3V}{4\pi} }$ is the right answer