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sdas [7]
3 years ago
11

Use the number line to find the sum of 1.5+(-5). A. -3.5 B.6.5 C.-6.5 D.3.5

Mathematics
1 answer:
Anika [276]3 years ago
5 0

Answer:

A. -3.5

Step-by-step explanation:

when adding a negative you subtract

so rewrite it as

1.5-5

which gives you -3.5

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David uses 1/2 cup of apple juice for every 1/4 cup of cranberry juice to make a fruit drink. Find out the number of cups of app
statuscvo [17]
Well, he would use 4/4 cup of cranberry juice to equal 1 cup. that is 4x the original amount. so, multiply 1/2 × 4 to equal 2 cups. David would use 2 cups of apple juice for every 1 cup of cranberry juice.
5 0
3 years ago
Sketch the equilibrium solutions for the following DE and use them to determine the behavior of the solutions.
GREYUIT [131]

Answer:

y=\dfrac{1}{1-Ke^{-t}}

Step-by-step explanation:

Given

The given equation is a differential equation

\dfrac{dy}{dt}=y-y^2

\dfrac{dy}{dt}=-(y^2-y)

By separating variable

⇒\dfrac{dy}{(y^2-y)}=-t

\left(\dfrac{1}{y-1}-\dfrac{1}{y}\right)dy=-dt

Now by taking integration both side

\int\left(\dfrac{1}{y-1}-\dfrac{1}{y}\right)dy=-\int dt

⇒\ln (y-1)-\ln y=-t+C

Where C is the constant

\ln \dfrac{y-1}{y}=-t+C

\dfrac{y-1}{y}=e^{-t+c}

\dfrac{y-1}{y}=Ke^{-t}

y=\dfrac{1}{1-Ke^{-t}}

from above equation we can say that

When t  will increases in positive direction then e^{-t} will decreases it means that {1-Ke^{-t}} will increases, so y will decreases. Similarly in the case of negative t.

4 0
3 years ago
How many 1-in. cubes can fit into a 2 by 4 by 2 in.<br>prism?​
wel

Answer:

16

Step-by-step explanation:

The dimensions of the base of the prism are 4" by 2"; the height is 2".

Looking at the base, we see that (4)(2), or (8) 1" cubes would cover it exactly and wholly.  We'd have a 3-dimensional prism with one layer of 1" cubes.

Now if we add a second layer right on top of the first layer, we'd have used (16) 1" cubes.

3 0
3 years ago
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Determine which measures of center would be more appropriate to use for each of these variables
olga_2 [115]

Answer:

........................

Step-by-step explanation:

6 0
3 years ago
What is the result of subtracting the second equation from the first?​
butalik [34]

Answer:

-5x + 7

Step-by-step explanation:

-4x - 2y = -2

x - 2y = 9

First, you're going to subtract the equations from each other.

(-4x - 2y = -2) - (x - 2y = 9)

Next, you need to get rid of the equal sign in both equations.

(-4x - 2y = -2) - (x - 2y = 9)

     +2       +2        -9      -9  

After you get rid of the equal signs, you will distribute the sign to the equation and then subtract everything.

-4x - 2y + 2 - x + 2y + 9

Now, combine the like terms.

(-4x -x) + (-2y + 2y) + (2 + 9)

Finally, calculate the terms and solve.

-5x + 7

3 0
3 years ago
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