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3 years ago

Solve the equation using the distributive property and properties of equality.

Mathematics

2 answers:

ioda3 years ago

8 0

Answer:

42, the last option.

Step-by-step explanation:

Took the test.

Alex3 years ago

7 0

The distributive property:
a(b + c) = ab + ac

2(x - 8) = 68
(2)(x) - (2)(8) = 68
2x - 16 = 68 |+16
2x = 84 |:2
x = 42
Answer: D. 42

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A drawer contains 4 different pairs of gloves. Suppose we choose 3 gloves randomly, what is the probability that there is no mat

sergey [27]

Answer:

The probability that there is no matching pair is 4/7 = 0.5714286.

Step-by-step explanation:

For the first glove we have no restrictions. For the second glove, we have 6 gloves that works for us and 1 that doesnt work (the one that matches the first glove), hence we have 6 possibilities out of 7. Once we pick a good second glove, for the last glove, we only have 4 cases that doesnt match the other two pairs, out of 6 total. This means that the probability that there is no matching pair is 6/7*4/6 = 4/7.

4 0

3 years ago

Is y= -9/5x + 1/5 perpendicular to y= 5/9x + 2/9

Lunna [17]

The given lines are perpendicular

Step-by-step explanation:

if Two lines are perpendicular then their slopes are

m $m_{1}=-\frac{1}{m_{2}}$

Where m₁ is slope of first line and m₂ is the slope of second line.

Since the lines are in slope-point form the standard form is:

$y=mx+b$

where m is the slope

The slope of first line y= -9/5x + 1/5 is: m₁ = -9/5

The slope of second line y= 5/9x + 2/9 is: m₂= 5/9

So, m $m_{1}=-\frac{1}{m_{2}}$ i.e $-\frac{9}{5}=\frac{5}{9}$

So, The given lines are perpendicular

Keywords: Perpendicular lines, slope

Learn more about Perpendicular lines at:

#learnwithBrainly

3 0

3 years ago

The atmospheric pressures at the top and the bottom of a building are read by a barometer to be 96.0 and 98.0 kPa. If the densit

expeople1 [14]

Answer:

Option d - 204 m

Step-by-step explanation:

Given : The atmospheric pressures at the top and the bottom of a building are read by a barometer to be 96.0 and 98.0 kPa. If the density of air is 1.0 kg/m³.

To find : The height of the building ?

Solution :

We have given atmospheric pressures,

$P_{\text{top}}=96\ kPa$

$P_{\text{bottom}}=98\ kPa$

The density of air is 1.0 kg/m³ i.e. $\rho_a=1\ kg/m^3$

Atmospheric pressure reduces with altitude,

The height of the building is given by formula,

$H=\frac{\triangle P}{\rho_a\times g}$

$H=\frac{P_{\text{bottom}}-P_{\text{top}}}{\rho_a\times g}$

$H=\frac{(98-96)\times 10^3}{1\times 9.8}$

$H=\frac{2000}{9.8}$

$H=204\ m$

Therefore, Option d is correct.

The height of the building is 204 meter.

4 0

4 years ago

How to write two hundred eight thousand five hundred sixty-one in two ways

Gekata [30.6K]

Two ways are...
1. 208,561
2. write it out as two hundred eight thousand five hundred sixty-one
#. you can also write it as 200,000 + 8,000 + 500 + 60 + 1

6 0

3 years ago

The chairlift at a ski resort rises a total of 2600 feet from where it starts. The angle of elevation is about 22.3 degrees. How

Monica [59]

Answer:

6852 feet .

Step-by-step explanation:

Refer the attached figure

The chairlift at a ski resort rises a total of 2600 feet from where it starts. i.e.AB = 2600 feet

The angle of elevation is about 22.3 degrees.i.e.∠ACB= 22.3°

We are supposed to find How far do riders travel on the lift i.e.AC

In ΔABC