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3 years ago

7

a piggy bank containing only quarters has a mass of 850 grams when empty and 7822 grams when filled if a quarter weighs 5.6 gram

s estimate the money

2 answers:

kap26 [50]3 years ago

7 0

I thinks the answer is 12.45

stira [4]3 years ago

4 0

Number of quarters= (7822-850)/5.6 = 1245

multiply that by 0.25 (worth of a quarter) to get the amount of money in US dollars

1245*0. 25=311.25$

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If a recipe required 1 1/2 cups of sugar how many required to make M batches of cookies

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3 years ago

Line t has a slope of -9/2 line u is parallel to t what is the slope of u

erik [133]

Answer:

the slope of the parallel line would also be -9/2

Step-by-step explanation:

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3 years ago

8x2 − 5 + 7x4 − 9x − x5

Veseljchak [2.6K]

Answer:

$=-\left(x-1\right)\left(x^4-6x^3-6x^2-14x-5\right)$

Step-by-step explanation:

Factor out comon Term -1

$=-\left(x^5-7x^4-8x^2+9x+5\right)$

Factor $x^5-7x^4-8x^2+9x+5:\quad \left(x-1\right)\left(x^4-6x^3-6x^2-14x-5\right)$

$x^5-7x^4-8x^2+9x+5$

Use the rational root theorem

$a_0=5,\:\quad a_n=1$

The dividers of $a_{0}$ : 1, 5, The dividers of $a_n$ : 1

Therefore, check the following rational numbers: ± $\frac{1,\:5}{1}$

$\frac{1}{1}$ is a root of the expression, so factor out $x-1$

$=\left(x-1\right)\frac{x^5-7x^4-8x^2+9x+5}{x-1}$

$\frac{x^5-7x^4-8x^2+9x+5}{x-1}=x^4-6x^3-6x^2-14x-5$

$=x^4-6x^3-6x^2-14x-5$

$=-\left(x-1\right)\left(x^4-6x^3-6x^2-14x-5\right)$

8 0

3 years ago

Solve the equation and graph the solution(s), if possible. 9|4p + 2| + 8 = 35

Cerrena [4.2K]

Solving an equation means finding a value of a variable that make the equation true. This value is called the solution of the equation.<span> A mathematical equation is just like a balanced equation. Both sides of the equation should be equal at all times. </span><span>Whatever we do to one side, has to be done on the opposite side.</span>

$9|4p + 2| + 8 = 35$

$
9|4p+2|=35-8
 
$ $Subtract \ 8 \ from \ both \ sides$

$9|4p+2|=27

 
$

$|4p+2|= \dfrac{27}{9}$ $Divide \ both \ sides \ by \ 9$

$|4p+2|=3$

$Break \ down \ the \ problem \ into \ these \ 2 \ equations$

$
4p+2=3
 
$

$-(4p+2)=3$

$Solve \ the \ 1st \ equation: \ 4p+2=3$

$4p=3-2$   <span> $Subtract \ 2 \ from \ both \ sides$
</span>
$4p=1$

$p= \dfrac{1}{4}$   <span> $Divide \ both \ sides \ by \ 4$
</span>
$Solve \ the \ 2nd \ equation: \ -(4p+2)=3$

$-4p−2=3$    $Simplify \ brackets$

$-4p=3+2$ <span> $Add \ 2 \ to \ both \ sides$
</span>
$-4p=5$

$p= -\dfrac{5}{4}$

$Collect \ all \ solutions$

$p= -\dfrac{5}{4}$ , $p= \dfrac{1}{4}$

8 0

3 years ago

What is the sum of -8 and it’s opposite?

musickatia [10]

Answer:

5+-8=0

Step-by-step explanation:

Its really easy, first, it says sum, so that means add it and then it said opposite. The opposite of -8 is 8, so put it all together and its 8+-8=0

4 0

3 years ago