Which of the expressions below have exactly 2 terms? Select all that apply.

The volume of this sphere is 500pi/3 cubic inches. what's it's radius

Blizzard [7]

Answer:

$r= 5in$

Step-by-step explanation:

$\frac{500\pi }{3} =\frac{4}{3} \pi *r^{3} \\r^{3} =\frac{500}{3} *\frac{3}{4} \\r^{3}=125\\r= 5 in$

{ Bring the number into the equation }

3 0

3 years ago

This problem is about Unit rates, though I don't exactly understand, could you guys help?

antoniya [11.8K]

Answer:

6 cups of sugar for each cup of butter.

Step-by-step explanation:

cups of sugar to butter.

This is saying for every 3/4 cups of sugar you add 1/8 cups of butter

to find the cup of sugar to butter you must make 1/8 cups of butter a whole number

1/8 * 8 = 1

now multiply 3/4 by the same number you multiplied the cups of butter

3 / 4 * 8 = 6

every cup of butter gets 6 cups of sugar.

(I dont know what it is asking for, at the part on the chart. but I hope this gives an idea!)

6 0

2 years ago

The sum of three consecutive even numbers is 48. What are the smallest of these numbers ?

Ludmilka [50]

Answer:

14

Step-by-step explanation:

divide 48 by 3 = 16

they must be consecutive even numbers

2 less than and two more than 16 are 14 and 18

14 + 16 + 18 = 48

the smallest is 14

3 0

3 years ago

Ted is making a bread recipe that uses three 1/4 cups of flour and a muffin recipe that uses 2 3/4 cups of flour eggs. How much

wlad13 [49]

Amount of flour used in bread recipe = $3 \frac{1}{4}$ cups

Amount of flour used in muffin recipe = $2 \frac{3}{4}$ cups

We have to determine how much more flour is in the recipe.

Since, more amount of flour is used in bread recipe than in muffin recipe.

Total amount of more flour = $3 \frac{1}{4} - 2 \frac{3}{4}$

= $\frac{13}{4} - \frac{11}{4}$

= $\frac{2}{4}$

= $\frac{1}{2}$

Therefore, $\frac{1}{2}$ more cup of flour is used in bread recipe than in muffin recipe.

Now, we will determine the total amount of flour used in both recipe.

Total amount of flour used in bread and muffin recipe

= $3 \frac{1}{4} + 2 \frac{3}{4}$

= $\frac{13}{4} + \frac{11}{4}$

= $\frac{24}{4}$

= 6 cups

Therefore, total 6 cups of flour are used in both the recipes.

3 0

3 years ago

Find all points on the circle (x^2) + (y^2) = 676 where the slope is 5/12

borishaifa [10]

Implicit defferentation

remember that dy/dx y= dy/dx

so
take derivitive of both sides
$2x+2y \space\ \frac{dy}{dx}=0$
solve for $\frac{dy}{dx}$
minus 2x both sides
$2y \space\ \frac{dy}{dx}=-2x$
divide both sides by 2y
$\frac{dy}{dx}=\frac{-2x}{2y}$
$\frac{dy}{dx}=\frac{-x}{y}$

when is the slope equal to $\frac{5}{12}$
solve for $\frac{dy}{dx}=\frac{5}{12}$
$\frac{dy}{dx}=\frac{5}{12}$
$\frac{5}{12}=\frac{-x}{y}$
$5y=-12x$
$y=\frac{-12}{5}x$
find where the circle and this line intersects

substitute $\frac{-12}{5}x$ for y
$x^2+(\frac{-12}{5}x)^2=676$
$x^2+\frac{144}{25}x^2=676$
$\frac{25}{25}x^2+\frac{144}{25}x^2=676$
$\frac{169}{25}x^2=676$
times both sides by $\frac{25}{169}$
$x^2=100$
sqrt both sides, take positive and negative roots
x=+/-10

sub back

$y=\frac{-12}{5}x$
$y=(\frac{-12}{5})(10) \space\ or \space\ (\frac{-12}{5})(-10)$
$y=\frac{-120}{5} \space\ or \space\ \frac{120}{5}$
$y=-24 \space\ or \space\ 24$

the points are (10,-24) and (-10,24)

8 0

3 years ago