All categories

3 years ago

Solve the two-step equation. − 2 3 x – 21 4 = 27 4

Mathematics

2 answers:

svetoff [14.1K]3 years ago

7 0

Answer:

Step-by-step explanation:

I'm going to assume that the problem is -23x -214 = 274

And in that case...

1. First isolate the x-value by adding 214 to both sides of the equation:

-23x = 488

2. Then, divide both sides by -23 to truly get x alone:

x = $-\frac{488}{23}$ or -21.22

defon3 years ago

7 0

Answer:

x = -18

Add the opposite of the constant on the left:

-2/3x = 21/4 +27/4 = 48/4 = 12

Multiply the equation by the inverse of the coefficient of x:

x = (-3/2)(12) = -18

The solution is x = -18.

Step-by-step explanation:

You might be interested in

Use the graph to answer the question. Find the slope

Liula [17]

We can take the two points given and plug them into the slope formula.

$\sf~m=\dfrac{y_2-y_1}{x_2-x_1}$

(-3, 3), (1, -5)
x1 y1 x2 y2

$\sf~m=\dfrac{-5-3}{1-(-3)}$

Subtract:

$\sf~m=\dfrac{-8}{4}$

Divide:

$\sf~m=-2$

8 0

3 years ago

If the 50th and 51st terms of an arithmetic sequence are 140 and 142, find the 1st term

morpeh [17]

Answer:

The first term is 42.

Step-by-step explanation:

The common difference is 142 - 140 = 2 so we have

50th term = a1 + 2(50 -1) = 140 where a1 is the first term

a1 + 98 = 140

a1 = 140 - 98 = 42.

4 0

4 years ago

For a project in his Geometry class, Mamadou uses a mirror on the ground to measure the height of his school's football goalpost

andreev551 [17]

Answer:

Height of the goalpost is 9.25 m.

Step-by-step explanation:

As per the rule of reflection in physics,

Angle of incidence = Angle of reflection

As we can see in the picture attached, both the angles (θ) are equal.

m∠ACB = m∠ECD = 90° - θ

m∠ABC = m∠ADC = 90°

Therefore, both the triangles ΔABC and ΔEDC will be similar.

And by the property of similar triangles, their corresponding sides will be proportional.

$\frac{AB}{ED}= \frac{CB}{CD}$

$\frac{1.75}{ED}=\frac{2.6}{13.75}$

ED = $\frac{1.75\times 13.75}{2.6}$

ED = 9.25 m

Height of the goalpost is 9.25 m.

4 0

3 years ago

Please answer the question from the attachment.

VikaD [51]

3x + 9 = 2x + 12
-2x -2x
1x +9 = 12
-9 -9

x = 3

4 0

3 years ago

HELP PLEASE!!!!!

Tasya [4]

Answer:

233 Times

Step-by-step explanation:

In a standard cube, there are 6 faces labelled 1 to 6.

Numbers less than 5=1,2,3,4

The probability of rolling a number less than 5 =4/6

Therefore, if the standard number cube is rolled 350 times.

Number of Expected Outcome Less than 5

$=\dfrac{4}{6}X350$

$=233.33\\\approx 233$ (to the nearest integer)$

We would roll a number less than 5 233 times.

6 0

3 years ago