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BlackZzzverrR [31]
3 years ago
11

Each new triangle shown below has one more dot per side than the previous triangle. What is the total number of dots on the 200t

h triangle of this sequence? Answer:
Mathematics
1 answer:
Bas_tet [7]3 years ago
5 0

Answer:

The total number of dots on the 200th triangle is 603

Step-by-step explanation:

Please check the attachment for the diagram of the triangular dots that completes the question

From the diagram, we can see that the first triangle has 6 total dots, second has 9 total dots, third has 12 total dots;

This shows a arithmetic progression pattern of the triangles where we have our first term being 6, with our common difference being the number of dots increment on all sides as we progress which is 3

Now we want to calculate for the 200th triangle

Mathematically, the nth term of an arithmetic sequence is given as;

Tn = a + (n-1)d

where a = 6 , d = 3 and n = 200

Substituting these values in the equation above, we have

Tn = 6 + (200-1)3

Tn = 6 + 199(3)

Tn = 6 + 597

Tn = 603

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Can u solve this for me: 72 + 4x = 2x + 82 and please show work
8_murik_8 [283]
The answer is X = 5 because first you have to take away 2x from that side so u minus 2x from 4x that gives u: 72 + 2x = 82 then you have to minus 72 from both sides and that gives you 2x = 10 once you have that you divide both sides by 2 because you want the X by itself and once you get that X = 5. Hope this helped!
8 0
3 years ago
Read 2 more answers
Which technique is most appropriate to use to solve each equation? Drag the name of the technique into the box to match each equ
NemiM [27]
For the first equation, the answer is C) completing the square.
For the second equation, the answer is B) zero product property.

For the first equation, we can easily complete the square by finding half of b and squaring it; then we can take the square root of both sides and solve the equation.

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7 0
3 years ago
Please help with this question.
horsena [70]

Answer:

Apples and Peaches

Step-by-step explanation:

It is convenient to compare the prices for 3 lbs of each of the fruits.

Multiply the price and quantity of Apples by 4:

... 4×(3/4 lb) = 4×$1.59

... 3 lb = $6.36 . . . . for apples

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... 6×(0.5 lb) = 6×$1.15

... 3 lb = $6.90 . . . . for plums

The two lowest-priced fruits are apples (6.36/(3 lb)) and peaches (5.37/(3 lb)).

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<em>Comment on</em> the best deal

No criteria are provided for determining the best deal. Though plums are higher-priced, they have somewhat higher polyphenol content than apples or peaches, so may provide the best deal in terms of nutrition per dollar.

4 0
3 years ago
?Together, teammates Pedro and Ricky got 2685 base hits last season. Pedro had 277 more hits than Ricky. How many hits did each
irga5000 [103]

Answer: Ricky: 1204, Pedro: 1481

Step-by-step explanation:

If Pedro hit 277 more base hits that Ricky, and together they hit 2685, then

2685=2x+277

2x=2408

x=1204

so Ricky hit 1204 base hits and Pedro hit 1481.

check: 1204+1481=2685

8 0
3 years ago
A certain drug is made from only two ingredients: compound A and compound B. There are 3 milliliters of compound A used for ever
Sphinxa [80]

Answer:

304\dfrac{4}{7}\ milliliters

Step-by-step explanation:

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3x+4x=533,\\ \\7x=533,\\ \\x=\dfrac{533}{7}\ milliliters.

Hence, a chemist must take

4\cdot \dfrac{533}{7}=\dfrac{2132}{7}=304\dfrac{4}{7}\ milliliters

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5 0
3 years ago
Read 2 more answers
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