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2 years ago

The value of y is directly proportional to the value of x. When x=3.5, the value of y is 14. What is the value of y when x = 28?

Mathematics

1 answer:

inna [77]2 years ago

7 0

Answer:

x = 7

Step-by-step explanation:

y = 14

14 x 2 = 28

Therefore:

3.5 x 2 = 7

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Hey guys does anyone know how to lesson 26 Exit ticket 5.4 eureka math engage ny? The last problem: Larry spends half of his wor

Vesnalui [34]

Answer:

$\frac{1}{12}$ X

Step-by-step explanation:

Let X is the number of hours Larry works a day

Given: Larry spends half of his workday teaching piano lessons.

=> Number of hours he teaches piano a day is: $\frac{1}{2}$ X

As we know that, he has 6 students, so the fraction of his workday is spent with each student is:

$\frac{1}{2}$ X : 6

= $\frac{1}{12}$ X

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3 years ago

Read 2 more answers

Jan uses 6 grams of tea leaves to make 24 fluid ounces of tea. Last week she made 288 fluid ounces of tea. How many grams of tea

Reil [10]

Hello!

288 / 24 = 12

6 * 12 = 72

Jan used 72 grams of tea leaves to make tea.

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3 years ago

Which equation could be used to find the length of the hypotenuse?

Komok [63]

Answer:

<h3>(base)² + (altitude)² = (hypotenuse) ²</h3>

Therefore,

2²+5² = c² will be matched.

7 0

3 years ago

A rectangular storage container with a lid is to have a volume of 2 m3. The length of its base is twice the width. Material for

Scilla [17]

Answer:

Dimensions are 2 m by 1 meter by 1 meter,

Minimum cost is $ 18.

Step-by-step explanation:

Let w be the width ( in meters ) of the container,

Since, the length is twice of the width,

So, length of the container = 2w,

Now, if h be the height of the container,

Volume = length × width × height

2 = 2w × w × h

1 = w² × h

$\implies h=\frac{1}{w^2}$

Since, the area of the base = l × w = 2w × w = 2w²,

Area of the lid = l × w = 2w²,

While the area of the sides = 2hw + 2hl

= 2h( w + l)

$= 2\times \frac{1}{w^2}(w+2w)$

$=\frac{6w}{w^2}$

$=\frac{6}{w}$

Since, Material for the base costs $1 per m². Material for the sides and lid costs $2 per m²,

So, the total cost,

$C(w) = 1\times 2w^2+2\times 2w^2 + 2\times \frac{6}{w}$

$=2w^2+4w^2+\frac{12}{w}$

$=6w^2+\frac{12}{w}$

Differentiating with respect to w,

$C'(w) = 12w -\frac{12}{w^2}$

Again differentiating with respect to w,

$C''(w) = 12 + \frac{24}{w^3}$

For maxima or minima,

C'(w) = 0

$\implies 12w -\frac{12}{w^2}=0$

$\implies 12w^3 - 12=0$

$w^3-1=0\implies w = 1$

For w = 1, C''(w) = positive,

Hence, for width 1 m the cost is minimum,

Therefore, the minimum cost is C(1) = 6(1)²+12 = $ 18,

And, the dimension for which the cost is minimum is,

2 m by 1 meter by 1 meter.

7 0

3 years ago

Aiden bought some noteboks and book covers for the upcoming school year.He bought a total of 13 items.Each notebook costs $1.37,

NARA [144]

Answer: Aiden bought 8 notebooks and 5 covers.

This is a system of equations problem. To solve this, we have to write 2 different equations and then solve them.

Our equations are:

x + y = 13
1.37x + 1.08y = 16.36

Where x is the number of notebooks and y is the number of covers.

To solve these equations, you can use anyone of these methods:
1) Graphing
2) Substitution
3) Elimination

The easiest way would be to graph them with a graphing calculator and find the point of intersection.

7 0

3 years ago