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inna [77]
3 years ago
6

Josey can run 10 laps in 8 minutes. How long this it take her to run 15 laps?

Mathematics
1 answer:
kvasek [131]3 years ago
4 0
It will takes Horst 12 minutes to run 15 laps
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Question 10 of 10
Alika [10]

9514 1404 393

Answer:

  D. y = -1/3x

Step-by-step explanation:

The line through the origin means the equation will be a proportion of the form y = kx. (You can also see this by looking at the answer choices.) The value of k is ...

  k = y/x . . . . . divide the above equation by x

For the given point (x, y) = (-3, 1), the value of k can be seen to be ...

  k = 1/-3 = -1/3

Then the equation for the line is ...

  y = -1/3x . . . . matches D

6 0
3 years ago
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
HHHHHHEEEEELLLLPPPP!!!!! PPPLLLEEAAASSEEE!!!
Softa [21]

The answer I believe is 1/t(x^2-3)

I cant type the crippled check mark symbol

7 0
3 years ago
Solve using quadratic formula<br> 5x^2-4x+3=0
Semenov [28]

Answer:

Impossible

Step-by-step explanation:

In 5x^2-4x+3=0, standard form, substitute these values in the quadratic formula:

a = 5; b = -4; c = 3

The quadratic formula is x = \frac{ -b ± \sqrt{b^{2} - 4ac}}{2a}

(ignore the weird capital A)

Substitute a b and c:

x = \frac{-(-4) ± \sqrt{(-4)^{2} - 4(5)(3)}}{2(5)}

Simplify:

x = \frac{4) ± \sqrt{16 - 60}}{10}

Because \sqrt{16-60} is the square root of a negative number, the answer would be imaginary.

Therefore, there are not solutions to this equation.

A solution is the same as the roots or zeroes, where the graph would cross the x-axis when graphed.

The graph never meets the x-axis. It looks like this:

3 0
3 years ago
If BE is parallel to CD, then the value of x is:
prohojiy [21]
Set up a ratio between the small triangle and the large one.
AD/ AE = AC / AB
(8 + 2)/8 = 10 / x

10/8 = 10/x Cross multiply
10x= 80 Divide by 10
x = 8
Answer 4th one down. <<<<====

6 0
3 years ago
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