What is the solution for the variable in the equation 7x - (3x + 4) = -2(2x

3x + 7 = -x - 1
3x + 7 + = -1
4x + 7 = -1
4x = -1 - 7
4x = -8
x = -2

1 - 2x + 5 = 4x - 3
-2x + 6 = 4x - 3
6 = 4x - 3 + 2x
6 = 6x - 3
6 + 3 = 6x
9 = 6x
x = 6/9
x = 2/3

i helped you with the first two questions so you can see how you can solve it.

hope this helps, God bless!

6 0

3 years ago

se necesita llenar un galon de agua,en 2 litros se tarda 30 minutos.cuantos litros me hacen falta para completar el galon y cual

mariarad [96]

Answer: 1.78 L are needed to complete the gallon and it will take 29.66 min to completely fill it

Step-by-step explanation:

The question in english is:

A gallon of water needs to be filled, in 2 liters it takes 30 minutes. How many liters do I need to complete the gallon and what is the time it takes me to fill it?

We know 1 gallon is equal to 3.78 liters:

$1 gal=3.78 L$

In addition, we are told you have filled the gallon with $2 L$ at a rate of $\frac{2 L}{30 min}=0.06 L/min$ .

So, if we want to know how many liters are left to completely fill the gallon, we have to sbstract the $2 L$ to the total amount of a gallon:

$3.78 L-2 L=1.78 L$ This is the amount you need to complete the gallon

On the other hand, the rate is defined as:

$rate=\frac{Liters}{time}$

Isolating $time$ :

$time=\frac{Liters}{rate}$

Then, if we input the $1.78 L$ we need to fill the gallon we will have the time:

$time=\frac{1.78 L}{0.06 L/min}$

$time=29.66 min$ This is the time you need to fill the gallon

6 0

3 years ago

Solve the system and give your answer as a coordinate point in the form (k, c) k+c=100 51k+11c=2500

Aleks [24]

Answer:

k = 35, c = 65

Step-by-step explanation:

Solve the following system:

{c + k = 100 | (equation 1)

{11 c + 51 k = 2500 | (equation 2)

Swap equation 1 with equation 2:

{11 c + 51 k = 2500 | (equation 1)

{c + k = 100 | (equation 2)

Subtract 1/11 × (equation 1) from equation 2:

{11 c + 51 k = 2500 | (equation 1)

{0 c - (40 k)/11 = -1400/11 | (equation 2)

Multiply equation 2 by -11/40:

{11 c + 51 k = 2500 | (equation 1)

{0 c+k = 35 | (equation 2)

Subtract 51 × (equation 2) from equation 1:

{11 c+0 k = 715 | (equation 1)

{0 c+k = 35 | (equation 2)

Divide equation 1 by 11:

{c+0 k = 65 | (equation 1)

{0 c+k = 35 | (equation 2)

Collect results:

Answer: {c = 65 , k = 35

5 0

3 years ago

What is 1 + 2? i do not understanded math???

Temka [501]

The answer is 3 if you add 2 into 1 you get 3

6 0

3 years ago

Read 2 more answers

If anyone could help me with this last problem, I would greatly appreciate it.

il63 [147K]

Answer:

From the given information, the value of a is 3 and the measurement of ∠R is 25°

Step-by-step explanation:

For this problem, we have to find the value of a and the measurement of ∠R. We are given some information already in the problem.

This means that all of the angles and all of the sides of each triangle are going to be equal to each other.

So, knowing this, let;s find the measurement of ∠R first.

All triangles have a total measurement of 180°. We are already given two angle measurements. We are given that the m∠P is 90° because the small box in the triangle represents a right angle and right angles equal 90°. We are also given that the m∠Q is 65° because ∠Q is equal to ∠K so they have the same measurement. Now, let's set up our equation.

65 + 90 + m∠R = 180

Add 65 to 90.

155 + m∠R = 180

Subtract 155 from 180.

m∠R = 25°

So, the measurement of ∠R is 25°.

Now let's find the value of a.

KL is equal to PQ so we will set up an equation where they are equal to each other.

7a - 10 = 11

Add 10 to 11.

7a = 21

Divide 7 by 21.

a = 3

So, the value of a is 3.

4 0

3 years ago

What is the solution for the variable in the equation 7x - (3x + 4) = -2(2x - 1) 1 + 10 *