How many angels does a rectangle have

In a paint factory, an old conveyer line has filled 20 barrels of paint, and is filling more at a rate of 7 barrels per minute.

vagabundo [1.1K]

It takes 10 minutes for the two lines to have filled an equal number of barrels

Each line will have filled 90 barrels

Solution:

Let "x" be the number of minutes

The old conveyer line has filled 20 barrels of paint, and is filling more at a rate of 7 barrels per minute

Thus, a equation is framed as follows:

Old conveyor: 20 + 7(number of minutes)

Old conveyor: 20 + 7x ------- eqn 1

A worker just switched on a newer line that can fill 9 barrels per minute

Thus, a equation is framed as follows:

New conveyor: 9(number of minutes)

New conveyor: 9x -------- eqn 2

In a little while, the two lines will have filled an equal number of barrels.

Thus, eqn 1 must be equal to eqn 2

$20 + 7x =9x\\\\9x - 7x = 20\\\\2x = 20\\\\x = 10$

Thus it takes 10 minutes for the two lines to have filled an equal number of barrels

How many barrels will each line have filled?

Substitute x = 10 in any one of equations

Substitute in eqn 2

9x = 9(10) = 90

Thus each line will have filled 90 barrels

8 0

3 years ago

12ad^3 and which terms are like terms? 15a^3d 12d^3 3ad^3 10ad

storchak [24]

Like terms are terms with the exact same variables, and the exact same degree of each variable...simply put, the exponents of each variable have to be exactly the same.
The given term 12 ad³ has variables a and d. a has a degree of 1 and d has a degree of 3.
The term 3ad³ has the same variables and the same degree, and is therefore the like term.

8 0

2 years ago

accoridng to byu idaho entorllemtn statistic there are 12000 femailes student here on camputes during any given semster of those

nordsb [41]

Answer:

so this as a fraction is 3500/12000 which is equivalent to

0.29166666666 we multiply this by 100

29.166666666

so about 29.1% or the students are female and have served a mission

Hope This Helps!!!

4 0

3 years ago

Which of these is a correct step in constructing congruent angles?

Marrrta [24]

Answer:

if not mistaken is use a compass and draw an arc across both the legs of the given angle

LET ME KNOW IF HELPED

8 0

3 years ago

Fred drew 2/3 on a number line. Sara broke her number line into 6 equal pieces but found the same fraction on the number line as

Trava [24]

Answer:

4 / 6

Step-by-step explanation:

Fred fraction = 2/3

Sarah formed a fraction by dividing her number line into 6 equal pieces. This is given as;

x / 6

Since her fraction is equal to that of fred, we have;

x / 6 = 2 / 3

x = 6 * 2 / 3 = 4

Sarah Fraction = 4 / 6

7 0

3 years ago