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3 years ago

5

Hunter bought a package of 36 pencils for $4.50. Solve an equation to determine the cost of each pencil in the package. (round t

o the nearest hundredths place, two places after the decimal) *

1 answer:

zalisa [80]3 years ago

7 0

Answer:

BLACK LIVES MATTER AND VOTE FOR JOE BIDEN

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6.) What is the similarity ratio?<br> A. 10:20<br> B. 10:28<br> (C.)5:14<br> D. 1:2

lesya692 [45]

Answer:

A AND D

B AND C

Step-by-step explanation:

If you change A into lowest terms it equals D

and if you cjange B into lowest terms it would equals C

5 0

3 years ago

If you need help- an anything just and MATH OR SIENT

galben [10]

It won’t let me add:(

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2 years ago

The u.s. dairy industry wants to estimate the mean yearly milk consumption. a sample of 16 people reveals the mean yearly consum

lidiya [134]

1-2. The best estimate for the population mean would be sample mean of 60 gallons. Since we know that the sample mean is the best point of estimate. Since sample size n=16 is less than 25, we use the t distribution. Assume population from normal distribution.

3. Given a=0.1, the t (0.05, df = n – 1 = 15)=1.75

4. xbar ± t*s/vn = 60 ± 1.75*20/4 = ( 51.25, 68.75)

5. Since the interval include 63, it is reasonable.

3 0

3 years ago

What is the solution of -8/2y-8=5/y+4 - 7y+8/y^2-16

blsea [12.9K]

Answer:

<h2>y = 8</h2>

Step-by-step explanation:

$Domain:\\\\2y-8\neq0\ \wedge\ y+4\neq0\ \wedge\ y^2-16\neq0\\\\2y\neq8\ \wedge\ y\neq-4\ \wedge\ y^2\neq16\\\\y\neq4\ \wedge\ y\neq-4\ \wedge\ y\neq\pm\sqrt{16}\\\\y\neq4\ \wedge\ y\neq-4\ \wedge\ y\neq-4\ \wedge\ y\neq4\\\\\boxed{y\neq-4\ \wedge\ y\neq4}\\\\===========================$

$\dfrac{-8}{2y-8}=\dfrac{5}{y+4}-\dfrac{7y+8}{y^2-16}\\\\\dfrac{-8}{2(y-4)}=\dfrac{5}{y+4}-\dfrac{7y+8}{y^2-4^2}\qquad\text{use}\ a^2-b^2=(a-b)(a+b)\\\\\dfrac{-8}{2(y-4)}=\dfrac{5}{y+4}-\dfrac{7y+8}{(y-4)(y+4)}\qquad\text{multiply both sides by (-2)}\\\\\dfrac{8}{y-4}=-\dfrac{10}{y+4}+\dfrac{14y+16}{(y-4)(y+4)}\qquad\text{add}\ \dfrac{10}{y+4}\ \text{to both sides}\\\\\dfrac{8}{y-4}+\dfrac{10}{y+4}=\dfrac{14y+16}{(y-4)(y+4)}$

$\dfrac{8(y+4)}{(y-4)(y+4)}+\dfrac{10(y-4)}{(y-4)(y+4)}=\dfrac{14y+16}{(y-4)(y+4)}\\\\\dfrac{8(y+4)+10(y-4)}{(y-4)(y+4)}=\dfrac{14y+16}{(y-4)(y+4)}\qquad\text{use the distributive property}\\\\\dfrac{8y+32+10y-40}{(y-4)(y+4)}=\dfrac{14y+16}{(y-4)(y+4)}\qquad\text{combine like terms}\\\\\dfrac{(8y+10y)+(32-40)}{(y-4)(y+4)}=\dfrac{14y+16}{(y-4)(y+4)}\\\\\dfrac{18y-8}{(y-4)(y+4)}=\dfrac{14y+16}{(y-4)(y+4)}\iff18y-8=14y+16\\\\18y-8=14y+16\qquad\text{subtract 14y from both sides}$

$4y-8=16\qquad\text{add 8 to both sides}\\\\4y=24\qquad\text{divide both sides by 4}\\\\y=8\in D$

8 0

3 years ago

A line, Z, has equation y = 5x + 3.<br> Write down an equation of a line parallel to line Z.

leva [86]

$\huge\underline\color{purple}{Answer \: ☘}$

$y = 5x$

Step-by-step explanation:

$as \: the \: line \: is \: parallel \: to \: line \: z \\ hence , \\ set \: the \: equation \: of \: the \: line \: as \\ y = kx + b \\ \\given... \\ y = 5x + 3 \\ comparing \: the \: equations \: we \: get \: \\ k = 5 \\ \\ hence \: the \: equation \: can \: be \: y = 5x$

hope helpful~

7 0

2 years ago

Read 2 more answers