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3 years ago

If y=5x - 3 find the value of y when X = 0

1 answer:

8 0

Since we know y=5x - 3 and we know that x=0 then its a matter of plugging in what we know and simplifying. y=5 x 0 - 3 we need to remember the order of operations for this problem. PEMDAS parenthesis exponent multiply divide add subtrac. Since 5 time 0 is multiplication and multiplication comes before subtracting in the oder of operations we will solve that first. 5 times 0 equals 0 since anything times 0 is 0. All that's left is to subtract 3 which gives us y=-3 <span />

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PLEASE HELP I WILL GIVE BRAINIEST!

marshall27 [118]

The distance is (0, 1.3)

7 0

2 years ago

An inhalation aerosol contains 225 mg of metaproterenol sulfate, which is sufficient for 300 inhalations. How many micrograms of

noname [10]

Answer:

Each inhalation has 750 micrograms of metaproterenol sulfate.

Step-by-step explanation:

First step: How many miligrams are there in each inhalation.This can be solved by a rule of three problem.

In a rule of three problem, the first step is identifying the measures and how they are related, if their relationship is direct of inverse.

When the relationship between the measures is direct, as the value of one measure increases, the value of the other measure is going to increase too.

When the relationship between the measures is inverse, as the value of one measure increases, the value of the other measure will decrease.

In this step, our measures are:

- The number of inhalations.

- The quantity inhaled.

As the number of inhalations increases, so does the quantity inhaled. This means that this is a direct rule of problem.

300 inhalations contains 225mg of metaproterenol sulfate. How many miligrams are in a inhalation?

300 inhalations - 225mg

1 inhalation - xmg

300x = 225

$x = \frac{225}{300}$

x = 0.75mg

Each inhalation has 0.75mg of metaproterenol sulfate.

Final step: Conversion of 0.75mg to micrograms.

Each mg has 1000 micrograms. So:

1mg - 1000 micrograms

0.75mg - x micrograms

x = 1000*0.75

x = 750 micrograms

Each inhalation has 750 micrograms of metaproterenol sulfate.

7 0

2 years ago

A rectangular piece of plywood has a diagonal which measures two feet more than the width. The length of the plywood is twice th

icang [17]

Answer:

The length of the plywood's diagonal(to the nearest tenth) is, 3.6 and 1.4

Step-by-step explanation:

let l be the length and w be the width of the rectangle respectively;

Diagonal(D) of a rectangle is given by:

$D = \sqrt{l^2+w^2}$ ......[1]

As per the given statement we have;

Diagonal(D) = width + 2

and

$l = 2 \times w$ = 2w

Now, substitute these in [1] we have;

$\sqrt{(2w)^2+w^2} = w+5$

Squaring both the sides we get;

$4w^2+w^2 = (w+2)^2$

$5w^2 = w^2 + 4 + 4w$

$5w^2 -w^2 = 4w + 4$ or

$4w^2= 4w + 4$

Simplify:

$w^2-w-1 =0$ ......[2]

The quadratic equation is in the form of $ax^2+bx+c = 0$

the solution is given by: $x = \frac{-b \pm\sqrt{b^2-4ac}}{2a}$

On comparing with [1] we get

a= 1 , b = -1 and c = -1

Then the solution is:

$w= \frac{-(-1) \pm\sqrt{(-1)^2-4(1)(-1)}}{2(1)}$

$w =\frac{1 \pm\sqrt{1+4}}{2} = \frac{1 \pm\sqrt{5}}{2}$

Simplify:

$w \approx 1.62$ and $w \approx -0.62$

Then, the diagonal D = w+2

For $w \approx 1.62$

$D = 1.62 +2 \approx 3.62$

For $w \approx -0.62$

$D =-0.62 +2 \approx 1.38$

therefore, the length of the plywood's diagonal(to the nearest tenth) is, 3.6 and 1.4

5 0

3 years ago

There are 5 comedy, 8 action, and 11 children DVDs on a rack. Susan randomly selects 3 of them. What is the probability that she

ipn [44]

$|\Omega|=24\cdot23\cdot22=12144\\
|A|=5\cdot8\cdot11=440\\\\
P(A)=\dfrac{440}{12144}=\dfrac{5}{138}$

5 0

3 years ago

What is the volume of the cylinder below? Use 3.14 for Pi and round to the nearest tenth.

Irina-Kira [14]

The correct answer is 1,459.3 cm3

7 0

3 years ago

Read 2 more answers