All categories

3 years ago

Y varies directly with x, and y = 5 when x = 4. What is the value of x when y = 8?

1 answer:

7 0

As y varies directly with x, there is a proportionality constant. As x increases by that certain constant, y also increases. We equate:
y = kx
where k = proportionality constant.
Given the condition, y = 5 when x = 4, then we solve for k:
5 = k(4)
k = 5/4 or 1.25
When y = 8, then
8 = (5/4)(x)
x = 8/(5/4) = (8)(4/5) = 32/5 or 6.4 (ANSWER)

You might be interested in

Ricardo borrows $1,850 for 10 months at an interest rate of 12.25%. What amount will

jonny [76]

9514 1404 393

Answer:

$2038.85

Step-by-step explanation:

The value of the loan at that point is given by ...

A = P(1 +rt) . . . . . Principal P, rate r, time t (years)

A = $1850(1 + 0.1225·(10/12)) = $2038.85

Ricardo will have paid back $2038.85 at the end of the loan period.

_____

<em>Additional comment</em>

We assume that the loan accrues simple interest and that the amount due is the sum of principal and interest at the end of the loan period.

The question is not specific as to whether interest compounds, or whether intermediate (monthly) payments are made. There are many possible ways the loan could be repaid, generally involving different amounts for the different terms.

7 0

3 years ago

Given the following expressions:

Tamiku [17]

Step-by-step explanation:

Step 1:

A . 5 with an exponent of 3 times 5 with an exponent of -4

= $5^{3} * 5^{-4}$ = $5^{3-4}$ = $5^{-1}$ = 1/5

B . (1/4) with an exponent of 3 times (1/4) with an exponent of 2

= $(1/4)^{3} * (1/4)^{2} = (1/4)^{3+2} = (1/4)^{5} = 1/1024$

C. Same as above

D. $\\\frac{(-7)^{5} }{(-7)^{7} } = (-7)^{5-7} = (-7)^{-2} =1/7^{2} = 1/49$

Step 2 :

All the above expressions have a value between 1 and 2

3 0

4 years ago

Which is the equation of the line with slope 0 passing through the point (-3,-1)?

madreJ [45]

When a line has a slope of zero it means that it is horizontal. This means that all the x values have the same y values. In this case it means that the y value is always -1.

The equation for this line is...

y = -1

Hope this helped!

~Just a girl in love with Shawn Mendes

3 0

3 years ago

Read 2 more answers

Which is a possible turning point for the continuous function f(x)?

babymother [125]

Answer:

We are given coordinates of a continuous function f(x)

(–2, 0)

(0, –2)

(2, –1)

(4, 0).

We need to find the possible turning point for the continuous function.

Note: Turning point is a point on the graph where slope of the curve changes from negative to positive or positive to negative.

A turning point is always lowest or highest point of the curve (where bump of the graph seen).

For the given coordinates we can see that (–2, 0) and (4, 0) coordinates are in a same line, that is on the x-axis.

But the coordinate (0, –2) is the lowest point on the graph.

Therefore, (0, –2) is the turning point for the continuous function given.

hoped this was helpful!

5 0

3 years ago

56 points for whoever answers correctly !

vladimir2022 [97]

We need to use what we know about rectangles to get:

Total length = 2*W + 8ft
Total width = W + 8ft

2) area = 2*W^2 + 24ft*W + 64ft^2

<h3>Working with rectangles:</h3>

We know that rectangles are defined by two measures, width W and length L.

Here we do know that the length of the pool is twice the width, and the width is W, then the length of the pool is:

L = 2*W

And we also have a sidewalk of 4ft all around the pool, now we want to get:

1) The total length and the total width.

This will be equal to the length/width of the pool <u>plus twice the width of the sidewalk</u> (we add it twice because is in both ends) then we have:

Total length = L + 2*4ft = 2*W + 8ft
Total width = W + 2*4ft = W + 8ft

2) Now we want to get an expression for the total area of the pool.

Remember that for a rectangle the area is just the product between the width and the length, so to get the area of the pool with the sidewalk we just take:

area = (total length)*(total width)

area = (2*W + 8ft)*(W + 8ft) = 2*W^2 + 3*W*8ft + 64ft^2

area = 2*W^2 + 24ft*W + 64ft^2

This is the equation that gives the total area as a function of W, the width of the pool.

If you want to learn more about rectangles, you can read:

brainly.com/question/17297081

6 0

3 years ago