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3 years ago

Someone help asap!!! Will give brainlist :)

Mathematics

1 answer:

KatRina [158]3 years ago

5 0

Answer:

$a) \: constant \: of \: proportionality \: (k) \\ = \frac{90}{2} \\ = 45 \\ \\ b) \: \frac{distance}{time} = k \\ \therefore \: \frac{d}{t} = k \\ \\ c) \: \frac{d}{t} = k \\ \\ \therefore \: d = tk$

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A function hall charges $250 fee to rent the hall plus $15 per guest.vwrite an equation for this function

m_a_m_a [10]

Answer:

y=15x+250 (x is the number of guests)

Step-by-step explanation:

the 15 is the slope, so that is the number that has to be multiplied by. The 250 is an additional fee that doesn't change, so it's just added on.

7 0

2 years ago

Read 2 more answers

If the relationship is a proportional relationship weite an equation that where x represents the number of adults and y represen

Anestetic [448]

Answer:

y = kx

Step-by-step explanation:

In proportional relationships, the value of one variable increases as the other increases or decreases as the other decreases. It is denoted mathematically as y ∝ x where x and y are the variables. It follows that

y = kx where k is the proportionality constant.

So in the relationship where x represents the number of adults, and y represents the number of students,

y ∝ x and y = kx

y = kx is the required equation

5 0

3 years ago

If A ⊂ B, then A ∩ B = ∅. true false

Aloiza [94]

Answer: false

Step-by-step explanation:

4 0

2 years ago

The length of a rectangle is 7 more than the width. The area is 744 sqaure yards, find the length and width of the rectangle

AVprozaik [17]

Answer:

Length of rectangle is 31 yards and Width is 24 yards.

Given:

The length of a rectangle is 7 more than the width.
The area is 744 sqaure yards

Solution:

Let's assume Width of rectangle be x and Length of rectangle be x + 7 respectively.

Using formula

$\\ \: \: \: \: \pink{ \dashrightarrow \: \: \: \: \sf { \underbrace{Area_{(Rectangle)} = Length × Width }}} \\ \\$

On Substituting the required values, we get;

$\\ \: \: \: \: \dashrightarrow \: \: \: \: \sf (x)(x + 7) = 744 \\ \\ \\ \: \: \: \: \dashrightarrow \: \: \: \: \sf {x}^{2} + 7x = 744 \\ \\ \\ \: \: \: \: \dashrightarrow \: \: \: \: \sf {x}^{2} + 7x - 744 = 0 \\ \\ \\ \: \: \: \: \dashrightarrow \: \: \: \: \sf {x}^{2} + 31x - 24x - 744 = 0 \\ \\ \\ \: \: \: \: \dashrightarrow \: \: \: \: \sf x(x + 31) - 24 (x + 31) = 0 \\ \\ \\ \: \: \: \: \dashrightarrow \: \: \: \: \sf (x + 31)(x - 24) = 0 \\ \\ \\ \: \: \: \: \dashrightarrow \: \: \: \: \sf x = 24 \: or \: - 31 \\ \\$

As we know that width of the rectangle can't be negative. So x = 24

Hence,

Width of rectangle = x = 24 yards
Length of the rectangle = x + 7 = 31 yards

$\therefore$ Length of rectangle is 31 yards and Width is 24 yards.

8 0

2 years ago

A book has a volume of 8cm and and mass of 24 grams.what is its density

kondor19780726 [428]

The density of the book is 3cm

6 0

3 years ago