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ser-zykov [4K]
3 years ago
13

Allison has 1/2 cup of yogurt for making fruit parfaits.Each parfait requires 1/8 a cup of yogurt.How many parfaits can she make

?
Mathematics
1 answer:
cupoosta [38]3 years ago
5 0
Allison can make 4 fruit parfaits.

Since one parfait requires 1/8 cup of yogurt, add:
1/8 + 1/8 + 1/8 + 1/8

They all share a common denominator, so:

1/8 + 1/8 +1/8 + 1/8 = 4/8

Simplify your answer (divide numerator and denominator by the common factor of 2) :

4/8 = 1/2

1/2 represents the total amount of cups of yogurt used. Since it took adding 1/8 four times that represents 4 parfaits.
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How many solutions will this system of equations have? (2 points)
Agata [3.3K]
The answer is infinitely many solutions

If you divide the 2nd equation by 3, you get the first equation, meaning they are identical. That means that any value of x will be true, which means there are infinite solutions
3 0
3 years ago
How do you integrate arctan(x dx? i think that if you simplify the integral you get:?
Temka [501]
Integration by parts will help here. Letting u=\arctan x and \mathrm dv=\mathrm dx, you end up with \mathrm du=\dfrac{\mathrm dx}{1+x^2} and v=x. Now

\displaystyle\int\arctan x\,\mathrm dx=uv-\int v\,\mathrm du
\displaystyle\int\arctan x\,\mathrm dx=x\arctan x-\int\frac x{1+x^2}\,\mathrm dx

For the remaining integral, setting y=1+x^2 gives \dfrac{\mathrm dy}2=x\,\mathrm dx, so

\displaystyle\int\frac x{1+x^2}\,\mathrm dx=\frac12\int\frac{\mathrm dy}y=\frac12\ln|y|+C=\frac12\ln(1+x^2)+C

Putting everything together, you end up with

\displaystyle\int\arctan x\,\mathrm dx=x\arctan x-\frac12\ln(1+x^2)+C
6 0
3 years ago
Vicky is a cook at a diner. Before the diner opened, she used 12 eggs to make a large frittata that will be sold by the slice. S
DanielleElmas [232]
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8 0
2 years ago
What is the solution for the equation 14.8 equals n -0.3
vodomira [7]

Hello there!

14.8=n-0.3

Answer:

\boxed{n=15.1=15.0}

You can also round up to the nearest tenths is 15.1 to 15.0 and its going to be stay.

Step-by-step explanation:

First you had to switch sides of equation form.

n-0.3=14.8

Then you add by 0.3 from both sides of equation form.

n-0.3+0.3=14.8+0.3

And finally, simplify by equation. You can also cross out by -0.3+0.3 and it gave us equal to zero. Then you add 14.8+0.3 and it equal to 15.1. You had to used their variable and its should be the right answer.

n=15.1

Hope this helps!

And thank you for posting your question at here on brainly, and have a great day.

-Charlie

6 0
3 years ago
Suppose the system of linear equations has no solution. Which is NOT a possible value of the constant for the second equation?
Tom [10]

Answer:

  A)  5

Step-by-step explanation:

The coefficients of the second equation are 1/3 of those of the first equation. If the constant of the second equation is also 1/3 of the constant of the first equation, then the equations are <em>dependent</em>, and will have an infinite number of solutions.

The constant must be something other than 1/3·15 = 5 to make the equations <em>inconsistent</em>, having no solutions.

4 0
2 years ago
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