All categories

1 year ago

Which expression represents the product of 3 and (5/4n + 1.8)

1 answer:

3 0

Answer: D

you have to distribute
3 times 5/4n = 3.75n
3 times 1.8 = 5.4
you can’t add both products because they don’t have like terms
3.75n + 5.4

You might be interested in

Maddie's monthly take home pay is $3,500. She is making monthly payments of $250 for a student loan and $218 for a credit card.

iren2701 [21]

Answer:

C. $482

Step-by-step explanation:

4 0

2 years ago

The flathead rail tunnel in Montana is about 7 3/4 miles long. A train travels at a speed of 3/4 mile per mile minute.how long w

kogti [31]

7 3/4 × 3/4 = So u add 3×3=9
Then add 4×4=16 Give you 9/16
Then you add that 7 you left out with 9/16
But just the 9 not the 16
7 × 9 = 63 And your answer is 63/16
Hope i help :-)

5 0

2 years ago

Read 2 more answers

Tomio, age 28, takes out $50,000 of straight-life insurance. His annual premium is $418.20. Using the tables found in the textbo

olya-2409 [2.1K]

Tomio, age 28, takes out $50,000 of straight-life insurance. His annual premium is $418.20. Using the tables found in the textbook, determine the cash value of his policy at the end of 20 years.

A. $26,500
B. $30,000
C. $13,250
D. $26,000

50,000/1,000 = 50
265*50 = $13,250

So the cash value of this policy is $13,250

The correct answer is:
C. $13,250

6 0

2 years ago

Read 2 more answers

It costs 480 to rent an apartment on the Gold Coast for a weekend. Last year it cost $400 how would you calculate the increase

Umnica [9.8K]

You could write a set of equations or use the interest formula, A(t)=P(1+r/n)^nt
where p equals the principal amount, r equals the rate/ percentage of interest, n equals the compounding periods and t equals time

3 0

2 years ago

Read 2 more answers

Two parabolas have the same focus, namely the point $(3,-28).$ Their directrices are the $x$-axis and the $y$-axis, respectively

jeyben [28]

Answer:

the slope of the common cord is: $-1$

Step-by-step explanation:

Given the focus (a,b) = (3,-28)

for a parabola with directrix at x-axis the equation will be

$\left(x-a\right)^{2}+\left(y-b\right)^{2}=y^{2}$

$\left(x-a\right)^{2}+\left(y-b\right)^{2}-y^{2}=0$

for a parabola with directrix at y-axis the equation will be

$\left(x-a\right)^{2}+\left(y-b\right)^{2}=x^{2}$

$\left(x-a\right)^{2}+\left(y-b\right)^{2}-x^{2}=0$

The common chord is the line between two points where the two parabolas intersect. For intersection, we can equate the two parabolas!

In other words, at the point of intersection of these two parabolas the values of the two parabolas will be the same.

$\left(x-a\right)^{2}+\left(y-b\right)^{2}-y^{2}=\left(x-a\right)^{2}+\left(y-b\right)^{2}-x^{2}$

$\left(x-3\right)^{2}+\left(y+28\right)^{2}-y^{2}=\left(x-3\right)^{2}+\left(y+28\right)^{2}-x^{2}$

we can now simplify the equation. (we can see that (x-3) and (y+28) both cancel out by -(x-3) and -(y+28))

$-y^{2}=-x^{2}$

$y=\sqrt{x^{2}}$

$y=\pm x$

this the equation of the common cord. but we need to select whether its

$y=+ x$ or $y=-x$ .

This can be found by realizing that the focus lies on the 4th quadrant of the xy-plane! And the equation $y=-x$ also generates a line that exists in the 2nd and 4th quadrant.

Hence the slope of the common cord is the slope of the line $y=-x$

that is : $-1$

3 0

1 year ago