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3 years ago

If x +y = 3 and x/y=2, then y is equal to what?

Mathematics

2 answers:

Leokris [45]3 years ago

8 0

It's 1. X is 2. 2+1=3 and 2/1 is 2

ella [17]3 years ago

6 0

Y would be equal to 1. We can see this because x (with a value of 2) + y would equal 3, and x (with a value of 2) / y would equal 2.

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Initially, there are 40 grams of A and 50 grams of B, and for each gram of B, 2 grams of A is used. It is observed that 15 grams

hram777 [196]

Answer:

$X(16)=25.71grams$

Step-by-step explanation:

let $X(t)$ denote grams of $C$ formed in $t$ mins.

For $X grams$ of $C$ we have:

$\frac{2}{3}Xg$ of A and $\frac{1}{3}Xg$ of B

Amounts of A,B remaining at any given time is expressed as:

$40-\frac{2}{3}Xg$ of A and $50-\frac{1}{3}Xg$ of B

Rate at which C is formed satisfies:

$\frac{dX}{dt} \infty(40-\frac{2}{3}X)(50-\frac{1}{3}X)->\frac{dX}{dt}=k(90-X)\\\therefore \frac{dX}{(90-X)^2}=kdt->\int{\frac{dX}{(90-X)^2}} \, =\int {k} \, dt \\\therefore \frac{1}{90-X}=kt+c->90-X=\frac{1}{kt+c}\\\\X(t)=90-\frac{1}{kt+c}$

Apply the initial condition, $X(0)=0$ ,to the expression above

$0=90-\frac{1}{c} \ \ ->c=\frac{1}{90}\\\therefore\\X(t)=90-\frac{1}{kt+\frac{1}{90}} \ \ ->X(t)=90-\frac{90}{90kt+c}$

Now at $X(8)=15$ :

$15=90-\frac{90}{90\times 8k+1} \ ->75=\frac{90}{720k+1}\\k=0.0002778$

Substitute in X(t) to get

$X(t)=90-\frac{90}{0.0002778t\times 90+1}\\X(t)=90-\frac{90}{0.25t+1}\\But \ t=16\\\therefore X(t)=90-\frac{90}{0.025\times16+1}\\X(t)=25.71$

5 0

3 years ago

Question 1 (1 point)

svlad2 [7]

Answer:

9π units²

Step-by-step explanation:

To obtain an exact answer, use π, not an approximation such as 3.14.

A = πr² is the appropriate formula.

Here,

A = (3)^2·π units², or 9π units²

8 0

3 years ago

Read 2 more answers

Can someone please help me solve this, thank you so much if u help!

malfutka [58]

Answer:

68°

Step-by-step explanation:

The triangle containing the 79° angle is isosceles. That means the other base angle is also 79°. The central angle is ...

V = 180° -2(79°) = 22°

Angle X is the other acute angle in right triangle VWX, so has measure ...

X = 90° -22° = 68°

_____

<em>Additional comment</em>

A tangent makes a right angle with the radius to the point of tangency. W is the point of tangency, so angle VWX is a right angle.

5 0

2 years ago

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ollegr [7]

$10 \times 5 + \frac{ {4}^{2} }{4} = 50 + 4 = 54$

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3 years ago

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mina [271]

Answer:

segment d.

Step-by-step explanation:

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3 years ago