-4x + 13 = 5 <br><br> X=?<br> ...............

Henry combines 7.49 litters of red paint with 6.26 litters of red paint and pours it in to 4 container with 0.43 litters of pain

11111nata11111 [884]

To find the answer we start by adding the contents of both containers together
7.49 + 6.26 = 13.75
Since we know that there is leftover paint we are going to subtract the leftovers from the total of combined paint
13.75 - 0.43 = 13.32
The combined paint is poured into 4 containers so we divide our combined total minus the leftovers by 4
13.32/4 = 3.33
Answer: There are 3.33 liters of paint in each container

5 0

3 years ago

What is the solution to the system of equations? (7, 9) (9, 7) (–5, 11) (11, –5)

KIM [24]

Answer: (7, 9)

Step-by-step explanation: To solve this system, I would use addition.

To solve a system of equations by addition,

we need one of our variables to cancel out.

Notice that we have a 4x in our first equation.

If we had a -4x in our second equation, the x's would cancel.

To create a -4x in the second equation,

we must multiply the entire equation by -4.

So we have (-4)(x + 6y) = (61)(-4).

Rewriting this equation, we have -4x - 24y = -244.

Now let's rewrite both equations.

Now when we add the equations together, the x's cancel.

So we're left with -29y = -261.

Now divide both sides by -29 and we have y = 9.

To find x, we plug a y back in for x in either equation.

So let's go with our second equation, x + 6y = 61.

Plugging a 9 in for y, we have x + 6(9) = 61 or x + 54 = 61.

Subtracting 54 from both sides, we have x = 7.

So x = 7 and y = 9 which we can write as the ordered pair (7, 9).

6 0

3 years ago

Tyler wears a jacket to school every 3rd day and a scarf to school every 8th day. What will be the first day Tyler will wear his

disa [49]

Answer:

24th day will be the first day on which Tyler will wear his jackets and scarf to school

Step-by-step explanation:

We can find the first day on which the Tyler will wear his jackets and scarf to school by taking the LCM of(3,8)

<u>Finding the LCM of(3,8)</u>

List all prime factors for each number.

Prime Factorisation of 3 shows:

3 is prime => $3^1$

Prime Factorisation of 8 is:

2 x 2 x 2 => $2^3$

For each prime factor, find where it occurs most often as a factor and write it that many times in a new list.

The new super-set list is

2, 2, 2, 3

Multiply these factors together to find the LCM.

LCM = 2 x 2 x 2 x 3 = 24

6 0

3 years ago

Hello everyone I really need help with this I need answers i’ve been trying to find the answers for almost 1 hour now I’m really

Ghella [55]

A. V=240
10x6x4=240
B. V= 1194.59
n(pie) 6.5x9
C. V= 6171.67
D. V= 1603.52
E. V=6859

6 0

2 years ago

If you were a biologist counting very large numbers of cells as part of your research, give several reasons why you might prefer

never [62]

Answer:

I would prefer scientific because depending how big a the number is scientific makes it the number visible smaller

Step-by-step explanation:

4 0

3 years ago

-4x + 13 = 5 X=? ...............