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sesenic [268]
3 years ago
15

1. Sum of n terms the series:

Mathematics
1 answer:
tensa zangetsu [6.8K]3 years ago
5 0

Step-by-step explanation:

a. 246,913,578

2+22+222+2,222+22,222+222,222+2,222,222+22,222,222+222,222,222

b. 0.3+0.33+0.333+0.3333+0.33333+0.333333+0.3333333+0.33333333+0.333333333 =2.962962963

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Solve for f<br> 2 + 1.25f = 10 - 2.75f
maria [59]
Answer is 2

Step by step exploration

2+1.25f=10-2.75f
1.25f+ 2.75f=10-2
4f=8
f=2
4 0
3 years ago
Read 2 more answers
The measures of three sides of a triangle can be represented by 2x, 3x and -5, and 4x + 2. The perimeter of the triangle is 65 i
Olenka [21]
The sides are 2x, 3x-5 and 4x+2
perimiter is the sum of the sides

a.
2x+3x-5+4x+2=63 is an equation

b.
solve
group like terms
2x+3x+4x-5+2=65
add like terms
9x-3=65
add 3 to both sides
9x=68
divide both sides by 9
x=68/9


2x=2(68/9)=136/9 in
3x-5=3(68/9)-5=(68/3)-5=(68/3)-(15/3)=53/3
4x+2=4(68/9)+2=272/9+2=272/9+18/2=290/9

the side lengths are 136/9in, 53/3in, and 290/9in
3 0
3 years ago
Explain why an elevator with 3 people in it is less dense with an elevator with 50 people in it
Harrizon [31]

Answer:

  it has a lower mass/volume ratio

Step-by-step explanation:

Density is the ratio of mass to volume. An elevator will have the same volume, regardless of the number of people. The mass will increase with the number of people.

An elevator with 50 people in it will have a higher mass/volume ratio than an elevator with 3 people in it. Hence the latter is less dense.

__

<em>Additional comment</em>

50 persons would require an industrial elevator of perhaps 10,000 pound load capacity. There might be safety issues with carrying that many people.

7 0
3 years ago
Sarah would like to make a 6 lb nut mixture that is 60% peanuts and 40% almonds. She has several pounds of a mixture that is 80%
ivolga24 [154]

Answer:  

<em>a.  The system of equations that models the situation is....</em>

<em>     0.80x+0.50y=3.60\\\\ 0.20x+0.50y=2.40</em>

<em>b.  The solution to the system:  x = 2 and y = 4 </em>

<em>The amount of 80/20 mixture is 2 pounds and the amount of 50/50              mixture is 4 pounds.</em>

Step-by-step explanation:

Suppose, the amount of 80/20 mixture is  x pounds and the amount of 50/50 mixture is  y pounds.

So, the amount of peanuts in 80/20 mixture = 0.80x pound and the amount of almonds in 80/20 mixture =0.20x pound.

And the amount of peanuts in 50/50 mixture =0.50y pound and the amount of almonds in 50/50 mixture =0.50y pound.

Now, Sarah would like to make a 6 pounds nut mixture that is 60% peanuts and 40% almonds.

So, the amount of peanuts in that mixture =(6\times 0.60)=3.60 pounds

and the amount of almonds in that mixture =(6 \times 0.40)= 2.40 pounds.

So, the system of equations will be.........

0.80x+0.50y=3.60 ...................(1)\\\\ 0.20x+0.50y=2.40...................(2)

Subtracting equation (2) from equation (1), we will get.....

(0.80x+0.50y)-(0.20x+0.50y)=3.60-2.40\\ \\ 0.60x=1.20\\ \\ x= \frac{1.20}{0.60}=2

Now, plugging this x=2 into equation (1), we will get......

0.80(2)+0.50y=3.60\\ \\ 1.60+0.50y=3.60\\ \\ 0.50y=3.60-1.60=2\\ \\ y=\frac{2}{0.50}=4

So, the amount of 80/20 mixture is 2 pounds and the amount of 50/50 mixture is 4 pounds.

7 0
3 years ago
Help please! It's a quiz. will mark brainliest for correct answer!
yarga [219]

Answer:

you first start by making your equation: 45 +.25x = 70 +.15x. then subtract .15x from both sides. it should look like 45 +.10x = 70. subtract 45 from both sides then you get .10x = 25. divide 10 to both sides and you get 250. so the two companies will be the same at 250 texts.

Step-by-step explanation:

8 0
3 years ago
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