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Evgesh-ka [11]
4 years ago
7

Solve -4(x + 1) - 3 = -3(x - 4). 1.-19 2.19 3.2 4.0

Mathematics
1 answer:
Aliun [14]4 years ago
5 0

Answer:

(1) x=-19

Step-by-step explanation:

Let's solve your equation step-by-step.

−4(x+1)−3=−3(x−4)

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Adalimumab (Humira), a recombinant human monoclonal antibody, is available in a prefilled syringe containing 40 mg/0.8 mL. Calcu
Neporo4naja [7]

Answer:

The concentration of the drug is 50mg/mL.

Step-by-step explanation:

This problem can be solved by a rule of three.

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 problem, as the number of mg increases, so does the number of mL. It means the we have a direct rule of three.

Tha problem states that the antibody is available in a prefilled syringe containing 40 mg/0.8 mL. Calculate the concentration of drug on a mg/mL basis.

The problem wants to know how many mg are there in a mL of the drug.

40mg - 0.8mL

x mg - 1 mL

0.8x = 40

x = \frac{40}{0.8}

x = 50mg.

The concentration of the drug is 50mg/mL.

8 0
3 years ago
A university has raised $8,000 for a new scholarship fund. A university trustee offers to match the donation up to 60% if the un
inysia [295]

$8,000 + $1,500 = 9,500

So 9,500 x .6 = 5,700 dollars donated by trustee.

$9,500 + $5,700 = $15,200 dollars tota
7 0
4 years ago
Read 2 more answers
What are the opposites of 8, −3.5, 1.15, and 9 1/4? Enter the answers in respective order, each separated by a comma.
Bess [88]

-8, 3.5, -1.15. -9 1/4

I hope this helped!

5 0
4 years ago
What is the length of a segment with endpoints at F(6, 4) and G(14, 19)? Round to the nearest whole number.
Mila [183]

Answer:

17

Step-by-step explanation:

d = √( (x₂ - x₁)² + (y₂ - y₁)² )

   = √( (14 - 6)² + (19 - 4)² )

   = √( 8² + 15² )

   = √( 64 + 225 )

   =  \sqrt{289}

   = 17

4 0
3 years ago
Give the slope of y+2=3(x-7) and a point on the line
Alborosie
Hey!


There's two ways we can find the slope intercept form for this equation. Which would be to convert to standard form, or convert to slope intercept form. In this case, I'll be converting the equation to slope intercept form.

<em>Slope Intercept Form Formula :</em>
y = mx + b

Now, we'll write out our original equation and covert it.

<em>Original Equation :</em>
<span>y + 2 = 3 ( x - 7 )

<em>New Equation {Changed by Conversion} :</em>
y = 3x - 23

From here we can really just spot which number is </span>m and that number is 3.

If you want to know how that image is graphed, I attached an image to the answer.

<em>So, the slope of the equation y + 2 = 3 ( x - 7 ) is</em>  3.

Hope this helps!


- Lindsey Frazier ♥

4 0
4 years ago
Read 2 more answers
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