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2 years ago

12

Marty is making a layaway purchase of a $1,500 couch at Frank’s Furniture Store. He will be paying $156 every 2 weeks for 20 wee

ks on a layaway plan. What is the layaway fee for this purchase?

1 answer:

Burka [1]2 years ago

6 0

Answer:

$60

Step-by-step explanation:

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Which correlation coefficient will most likely describe the relationship between frequency of teeth brushing and the number of c

abruzzese [7]

Answer:

The correct approach is "-62". A further explanation is described below.

Explanation:

A dependent variable could be seen since the blackheads become triggered whenever some substance or material is deposited between some of the teeth.
Humans don't brush their teeth frequently, but there is still a significant possibility of decay, so cavities differ depending upon whether the specific teeth become brushed.

3 0

2 years ago

Math help please :) <3

Sveta_85 [38]

The greatest common factor of 28 and 36 is 4.

4 0

3 years ago

Solve the following equations.<br> log2(x^2 − 16) − log^2(x − 4) = 1

Alenkasestr [34]

Answer:

$x=\frac{4*(2+e)}{e-2}$

Step-by-step explanation:

Let's rewrite the left side keeping in mind the next propierties:

$log(\frac{1}{x} )=-log(x)$

$log(x*y)=log(x)+log(y)$

Therefore:

$log(2*(x^{2} -16))+log(\frac{1}{(x-4)^{2} })=1\\ log(\frac{2*(x^{2} -16)}{(x-4)^{2}})=1$

Now, cancel logarithms by taking exp of both sides:

$e^{log(\frac{2*(x^{2} -16)}{(x-4)^{2}})} =e^{1} \\\frac{2*(x^{2} -16)}{(x-4)^{2}}=e$

Multiply both sides by $(x-4)^{2}$ and using distributive propierty:

$2x^{2} -32=16e-8ex+ex^{2}$

Substract $16e-8ex+ex^{2}$ from both sides and factoring:

$-(x-4)*(-8-4e-2x+ex)=0$

Multiply both sides by -1:

$(x-4)*(-8-4e-2x+ex)=0$

Split into two equations:

$x-4=0\hspace{3}or\hspace{3}-8-4e-2x+ex=0$

Solving for $x-4=0$

Add 4 to both sides:

$x=4$

Solving for $-8-4e-2x+ex=0$

Collect in terms of x and add $4e+8$ to both sides:

$x(e-2)=4e+8$

Divide both sides by e-2:

$x=\frac{4*(2+e)}{e-2}$

The solutions are:

$x=4\hspace{3}or\hspace{3}x=\frac{4*(2+e)}{e-2}$

If we evaluate x=4 in the original equation:

$log(0)-log(0)=1$

This is an absurd because log (x) is undefined for $x\leq 0$

If we evaluate $x=\frac{4*(2+e)}{e-2}$ in the original equation:

$log(2*((\frac{4e+8}{e-2})^2-16))-log((\frac{4e+8}{e-2}-4)^2)=1$

Which is correct, therefore the solution is:

$x=\frac{4*(2+e)}{e-2}$

6 0

3 years ago

Six ice cream bars and four bags of chips cost $13.50. Ten ice cream bars and five bags of chips cost

balu736 [363]

Answer:

For the 6 ice cream bar: $2.25

For the 10 ice cream bar: $4

Step-by-step explanation:

4 0

3 years ago

The night school auditorium is able to seat 8 elementary school groups of 65 students each use the distributive property to dete

nasty-shy [4]

Answer:

They can seat <u>520</u> students.

Step-by-step explanation:

Given:

The night school auditorium is able to seat 8 elementary school groups of 65 students each.

Now, use the distributive property to determine the number of students they can seat.

Total number of elementary school groups = 8.

Number of students in each group = 65.

So, using the distributive property to get the number of students they can seat:

$8(65)$

$=8(60+5)$

$=8\times 60+8\times 5$

$=480+40$

$=520.$

Therefore, they can seat 520 students.

3 0

3 years ago