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3 years ago

I hope someone can help me, I usual help people too, it’s for solving equations with systems,hers a photo

Mathematics

1 answer:

blsea [12.9K]3 years ago

4 0

Step-by-step explanation:

Flour needed to make birthday cakes = 2x

Flour needed to make holiday cakes = 1y = y

Maximum amount of Flour allowed = 20 (No more than 20)

Therefore

2x + y must not be more than 20

$2x + y \leqslant 20$

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-10 + 15xy = 20 Direct and inverse variation. constant of variation (k)

lozanna [386]

Answer:

This is an inverse variation, and the constant of variation is k = 2.

Step-by-step explanation:

Direct variation is something like:

y = k*x

Where k is the constant of variation.

So as x increases also increases y.

Inverse variation is something like:

y = k/x

k is the constant of variation.

In this case, if x increases, y decreases.

Now let's look at the equation:

-10 + 15*x*y = 20

Let's isolate y in one side of the equation:

15*x*y = 20 + 10 = 30

15*x*y = 30

y = 30/(15*x) = (30/15)/x = 2/x

y = 2/x

Then we can conclude that this is an inverse variation, with a constant of variation equal to 2.

4 0

3 years ago

The probability that an event will not happen is Upper P (Upper E prime) = 0.94. Find the probability that the event will happen

xxMikexx [17]

Answer: P(Upper E' prime) = 0.06

Step-by-step explanation:

Not happen:P(Upper E prime) = 0.94

Happen: P(Upper E' prime) = ?

P(Upper E' prime) + P(Upper E' prime) = 1

Therefore

P(Upper E' prime) + 0.94= 1

P(Upper E' prime) =1- 0.94

P(Upper E' prime) = 0.06

5 0

3 years ago

What is volume? Give an example of an object that has volume

Gnom [1K]

Volume is a measure if the amount of space occupied by that object, and every 3D shapes have volume. To find volume, you need three dimensions which are length, width, and height :D

4 0

3 years ago

A 12 foot ladder is leaning against a building. If the bottom of the ladder is sliding along the pavement directly away from the

ira [324]

Using Pythagoras theorem, the top of the ladder moving down when the foot of the ladder is 3 feet from the wall is of -0.518 feet/sec.

Let distance from the wall to the foot of the ladder is 'x' feet and the height of the top of the ladder is 'y' feet.

Pythagoras theorem, $x^{2} + y^{2} = (12)^{2}$ --->(1)

Given, $\frac{dx}{dt}= 2feet/second$ at x=3

Put x=3 in Pythagoras theorem equation (1)

$(3)^{2} + y^{2} = 144$

$y^{2} = 144 - 9$

$y^{2}$ = 135

y = 11.61

Derive equation (1) w.r.t to 't'

$2x\frac{dx}{dt} + 2y\frac{dy}{dt} = 0$ ---->(2)

substitute the value of 'x', 'dx/dt' and 'y' in equation (2), we get the fast of the top of the ladder moving down when the foot of the ladder is 3 feet from the wall

$2(3)(2) + 2 (11.61)\frac{dy}{dt} = 0$

12 + 23.22 $\frac{dy}{dt}$ = 0

$\frac{dy}{dt}= \frac{-12}{23.22}$

$\frac{dy}{dt} = -0.518$

Hence, using Pythagoras theorem the top of the ladder moving down when the foot of the ladder is 3 feet from the wall is of -0.518 feet/sec.

Learn more about Pythagoras theorem here

brainly.com/question/21511305

#SPJ4

5 0

2 years ago

A fundamental basis of regression analysis is the assumption of a. the lack of a relationship between independent variables. b.

kodGreya [7K]

The correct answer is E. A fundamental basis of regression analysis is the assumption of the existence of two independent variables for every dependent variable.

Regression analysis is a statistical method that examines the dependence of a response variable on selected explanatory variables.

When studying the dependence between quantities and trying to describe a given functional dependence on a given formula, it is assumed that the dependence consists of a precisely determinable component and a random component. The relationship with this assumption is called the regression model.

Learn more about regression analysis in brainly.com/question/1305938

5 0

2 years ago