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Vsevolod [243]
3 years ago
7

In a dance competition, a participant has to score a total of at least 30 points in the first four rounds combined to move on to

the fifth and final round. Steward scored 5 points in the first round. He then went on to score additional points in the second, third, and fourth rounds. In each of those rounds, his score was identical. Which inequality best shows the number of points, p, that Steward scored in each of the second, third, and fourth rounds if he earned a place in the finals?
Mathematics
1 answer:
brilliants [131]3 years ago
8 0
If he got 5 points in the first round and he needed at least thirty he would score 9 points in the next three rounds
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liberstina [14]
Add the numbers they equal 30 then u divide 30 by 2 since it’s an odd number and you get 15. so 15 is your answer
6 0
3 years ago
Read 2 more answers
Triangle ABC is translated to create triangle DFG, as shown below.
Anton [14]

Answer:

x=3

y = 9

Step-by-step explanation:

Given

The translated triangles

Required

Find x and y

We have:

AB = DF

BC = FG

AB = DF means:

3(2x + 10) = 12x + 12

Open bracket

6x + 30 = 12x + 12

Collect like terms

12x - 6x = 30 -12

6x = 18

Divide by 6

x=3

BC = FG means

2y + 12 = 2(2y - 3)

Open bracket

2y + 12 = 4y - 6

Collect like terms

4y - 2y = 12+6

2y = 18

Divide by 2

y = 9

5 0
3 years ago
A clown creates an equation that relates his data of each child´s head size to the length of the balloon he needs to make them a
Mashcka [7]

Answer:

If x is the size of the child's head, 5 times that would be 5x and "plus 4/5" is + 4/5 so the equation is y = 5x + 4/5.

5 0
3 years ago
The perimeters of the square and the triangle shown below are equal. What is the value of x?
Rudiy27
Perimeter is the sum of all the sides. So we can set up an equation:

\sf 3x+1+3x+1+3x+1+3x+1=2x+8+x+8+4x+2

Now solve for 'x', combine like terms:

When it comes to terms with variables it's just like normal addition but we keep the variable:

\sf 3x+3x+3x+3x=12x
\sf 2x+x+4x=7x

So we have:

\sf 12x+1+1+1+1=7x+8+8+2

Add:

\sf 12x+4=7x+18

Subtract 7x to both sides:

\sf 5x+4=18

Subtract 4 to both sides:

\sf 5x=14

Divide 5 to both sides:

\boxed{\sf x=2.8}
8 0
3 years ago
-3x - 3y - z= -6
kifflom [539]

Answer:

Ammm, I think the answer you have is wrong, but what I really think is that the equations you put in are not the right ones because the answer for these is "ugly" (decimals etc...). Want to check your equations?

Step-by-step explanation:

Here is a step by step explanation to your equations (I assumed +3z for the second but you can change it). You can edit it for your equations if you want to.

https://simplisico.com/share/q/QiWKOyN5uYgkSG4iBXOmdG0i

5 0
2 years ago
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