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3 years ago

Simplify 6(x + 2) + 7. 6x + 9 6x + 15 6x + 19

Mathematics

2 answers:

salantis [7]3 years ago

4 0

Answer:

6x +19

Step-by-step explanation:

6(x +2) +7

distribute the 6 (multiply 6*x and 6*2)

6x + 12

add the 7 to the 12

=6x + 19

djyliett [7]3 years ago

4 0

Answer:

6x+19

Step-by-step explanation:

6 x 2 = 12 + 7= 19 so

6x+19

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Seven pieces of rope have an average (arithmetic mean) length of 68 centimeters and a median length of 84 centimeters. If the le

Svet_ta [14]

Answer:

The maximum possible length, in centimeters, of the longest piece of rope is 134 cm

Step-by-step explanation:

Let the seven pieces be a,b,c,d,e,f,g

Average of 7 pieces of ropes =68

$Average = \frac{\text{Sum of all lengths}}{\text{No. of pieces}}$

$68= \frac{\text{Sum of all lengths}}{7}$

$68 \times 7 =\text{a+b+c+d+e+f+g}$

$476=\text{a+b+c+d+e+f+g}$ --A

We are given that the median length of a piece of rope is 84 centimeters.

We arrange the pieces in the ascending order

So, median will be the length of 4th piece

So, d = 84 cm

the length of piece a,b,c will be less than 84 and the value of e,f,g must be greater than or equal to 84

Let us suppose the length of a,b,c be x

Let us suppose the length of e,f be 84

The length of the longest piece of rope is 14 centimeters more than 4 times the length of the shortest piece of rope

So, g = 4x+14

Substitute the value in A

$476=x+x+x+84+84+84+4x+14$

$476=7x+266$

$\frac{476-266}{7}=x$

$30=x$

g = 4x+14=4(30)+14=134

Hence the maximum possible length, in centimeters, of the longest piece of rope is 134 cm

7 0

3 years ago

1. The most massive planet in the solar system, Jupiter, has a mass of about 1,898,000,000,000,000,000,000,000,000 kg. Estimate

UNO [17]

Answer:

D. $2*10^{27} kg$

Step-by-step explanation:

Mass of Jupiter is given as 1,898,000,000,000,000,000,000,000,000 kg

Estimating this to the nearest whole number would be = 2,000,000,000,000,000,000,000,000,000 kg (rounding up the the "1,898")

To express this in scientific notation form, simply count how many zeros we have to the nearest whole number, 2.

We have 27 zeros there.

Therefore, we would multiply the whole number, 2, by 10 raise to the power of 27.

An estimate of the mass of Jupiter = $2*10^{27} kg$

6 0

3 years ago

Please help me and explain this.

Zina [86]

You are supposed to answer where the function, h(x), is decreasing. In other words, where is “y” decreasing.

In this graph, I believe it would be from (-3,4)U(8,infinity). I hope this helps.

8 0

3 years ago

20 POINTS

TiliK225 [7]

Answer:

Step-by-step explanation:

There are 6 different shapes

You want the outcome to be a Nonagon

You put the outcome as a ratio 1/6

1/6=0.1666667

0.1666667*100=16.6667%

Chance of pulling out a nonagon

3 0

3 years ago

The measurement of the supplement of an angle is 7 times the measure of the complement. find the measure of the complement

mamaluj [8]

x = angle 90 - x = measure of complement of x 180 - x = measure of supplement of x From the information given in the problem, we get this: 180 - x = 7 (90 - x) 180 - x = 630 - 7x -x + 7x = 630 - 180 6x = 450 x = 450/6 x = 75. Now we prove that x = 75° is the correct angle: x = 75° = measure of angle 90° - 75° = 15° = meaure of complement 180° - 75° = 105° = 7 (15°)

4 0

3 years ago

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