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3 years ago

Our work: -2x + 4 = 5 - 3x

Mathematics

1 answer:

Vikentia [17]3 years ago

6 0

Answer:

x=1

Step-by-step explanation:

-2x + 4 = 5 - 3x

Add 3x to each side

-2x+3x + 4 = 5 - 3x+3x

x +4 =5

Subtract 4 from each side

x+4-4 =5-4

x =1

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For their homecoming parade, the students of U-Math have created a colorful banner, 57 meters in length, that is made of two

BartSMP [9]

Answer:

$Length\ of\ the\ long\ piece=40\ meters\\\\Length\ of\ the\ short\ piece=17\ meters$

Step-by-step explanation:

Let be "s" the length in meters of the short piece and "l" the lenght in meters of the long piece.

Set up a system of equations:

$\left \{ {{s+l=57} \atop {s=l-23}} \right.$

Apply the Substitution Method to solve the system. Substitute the second equation into the first equation and solve for "l":

$(l-23)+l=57\\\\2l=80\\\\l=\frac{80}{2}\\\\l=40$

Susbstitute the value of "l" into the second equation in order to find the value of "s". This is:

$s=40-23\\\\s=17$

6 0

3 years ago

List the sides in ^ EFG in order from smallest to largest.

exis [7]

<h3>Answer: Choice A) EF, EG, FG</h3>

================================================

Explanation:

We'll use these two rules

The smallest side is always opposite the smallest angle
The largest side is always opposite the largest angle

This only applies to triangles.

EF is the smallest side because the angle G is the smallest angle.

FG is the longest side because it is opposite the largest angle E

That places EG in the middle.

The order of the sides from smallest to largest is EF, EG, FG

6 0

3 years ago

Miss smith’s pay is directly proportional to the number of hours she work at the airport. Her pay for 22 hours is $297.How much

Troyanec [42]

Answer:

She should earn $540 in a 40 hour week

Step-by-step explanation:

we know that

Her pay for 22 hours is $297

using proportion

Find out how much should she earn in a 40 hours week

$\frac{22}{297}=\frac{40}{x}\\\\x=297*40/22\\\\x= \$540$

7 0

3 years ago

Line AB contains points A(-6,1) and B(1,4).

Free_Kalibri [48]

To solve this problem you must apply the proccedure shown below:

1- You have that the equation of the line is:

$y=mx+b$

Where $m$ is the slope and $b$ is the y-intercept.

2- Based on the information given in the problem, the lines $AB$ and $CD$ are parallel, which means that both have the same slope. Therefore, you can calculate the slope of $AB$ :

$m=\frac{y2-y1}{x2-x1}$

$m=\frac{4-1}{1-(-6)}=\frac{3}{7}$

3- Use the coordinates of the point $D(7,2)$ to calculate the y-intercept:

$2=\frac{3}{7}(7)+b$

4. Solve for $b$ :

$b=2-3=-1$

5. The equation of the line $CD$ is:

$y=\frac{3}{7}x-1$

The answer is: $y=\frac{3}{7}x-1$

6 0

3 years ago

Is of I ready please help me ?

blsea [12.9K]

Answer: N has to be a negative. hope this helps

Step-by-step explanation:

3 0

3 years ago