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Alla [95]
3 years ago
6

Eunique scores 20 points during the game. This is eleven more than three-fifths of the points she scored in previous game. How m

any points Eunique score in previous game?
Mathematics
1 answer:
Ket [755]3 years ago
6 0

Answer:

Step-by-step explanation:

If we call the points she scored in the last game x, we can actually write out an equation to describe what is being said.  20=11+(3/5)x.  Hopefully that makes sense.  3/5 of the previous score plus 11 is 20.  Anyway, you can just solve this algebraic expression for x.

20=11+(3/5)x subtract 11 from both sides

9 = 3/5 x Multiply both sides by 5

45 = 3x then divide both sides by 3

15 = x And there you go.  

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Volume of cylinder

= π r² h

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6 0
3 years ago
Read 2 more answers
Which of the following is true regarding the sequence graphed below?
Klio2033 [76]

Answer:  The correct option is

(D) The sequence is not arithmetic because the terms do not have a common difference.

Step-by-step explanation:  We are given to select the true statement regarding the sequence that is graphed in the figure.

From the graph, we see that some of the points are (1, 1), (2, 4), (3, 9), (4, 16), (5, 25).

That is, if we write the graphed points in terms of a sequence <a(n)>, then we get

a(1)=1,\\\\a(2)=4,\\\\a(3)=9,\\\\a(4)=16,\\\\a(5)=25.

The sequence <a(n)> will be arithmetic if the difference between the consecutive terms is equal. That is, the terms should have a common difference.

Now,

a(2)-a(1)=4-1=3,\\\\a(3)-a(2)=9-4=6,\\\\a(4)-a(3)=16-9=7,\\\\a(5)-a(4)=25-16=9.

This implies that the terms do not have a common difference and so the graphed function does not represent an arithmetic sequence.

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Option (D) is CORRECT.

5 0
3 years ago
3 1 _______<br> x 1 1<br> 15
DedPeter [7]

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45

Step-by-step explanation:

5 0
3 years ago
Exercise 6
Lady_Fox [76]

a)\\\\x^2-2x-4=0\\\\x^2-2x=4\\\\x^2-2x+1^2=4+1^2\\\\(x-1)^2=5\\\\x-1=\pm\sqrt5\\\\\underline{x=\pm\sqrt5+1\approx-1.24\ or\ 3.24}\\\\\\b)\\\\x^2-4x-2=0\\\\x^2-4x=2\\\\x^2-4x+2^2=2+2^2\\\\(x-2)^2=6\\\\x-2=\pm\sqrt6\\\\\underline{x=\pm\sqrt6+2\approx-0.45\ or\ 4.45}

c)\\\\x^2+8x+5=0\\\\x^2+8x=-5\\\\x^2+8x+4^2=-5+4^2\\\\(x+4)^2=11\\\\ x+4=\pm\sqrt{11}\\\\\underline{x=\pm\sqrt{11}-4\approx-7.32\ or\ -0.68}\\\\\\x)\\\\x^2+22x-15=0\\\\x^2+22x=15\\\\x^2+22x+11^2=15+11^2\\\\(x+11)^2=136\\\\x+11=\pm\sqrt{136}\\\\\underline{x=\pm\sqrt{136}-11\approx-22.66\ or\ 0.66}

e)\\\\x^2-7x+10=0\\\\x^2-7x=-10\\\\x^2-7x+(\frac72)^2=-10+(\frac72)^2\\\\x^2-7x+(\frac72)^2=-10+(\frac72)^2\\\\(x-\frac72)^2=-\frac{20}4+\frac{49}4\\\\ (x-\frac72)^2=\frac{29}4\\\\x-\frac72=\pm\sqrt{\frac{29}4}\\\\ \underline{x=\pm\frac{\sqrt{29}}2+\frac72\approx6.19\ or\ 0.81}\\\\\\f)\\\\x^2+5x-2=0\\\\x^2+5x=2\\\\x^2+5x+(\frac52)^2=2+(\frac52)^2\\\\(x+\frac52)^2=2+6.25 \\\\x+\frac52=\pm\sqrt{8.25}\\\\\underline{x=\pm\sqrt{8.25}-\frac52\approx-5.37\ or\ 0.37}

g)\\\\x^2+9x-4=0\\\\x^2+9x=4\\\\x^2+9x+(\frac92)^2=4+(\frac92)^2\\\\(x+\frac92)^2=4+20.25\\\\x+\frac92=\pm\sqrt{24.25}\\\\\underline{x=\pm\sqrt{24.25}-4.5\approx-9.42\ or\ 0.52}

h)\\\\x^2-3x-6=0\\\\x^2-3x=6\\\\x^2-3x+(\frac32)^2=6+(\frac32)^2\\\\(x-\frac32)&^2=6+2.25\\\\x-\frac32=\pm\sqrt{8.25}\\\\ \underline{x=\pm\sqrt{8.25}+1.5\approx4.37\ or-1.37}

3 0
3 years ago
the sum of two.numbers is 25. one number is twice the second number plus seven. what are the the numbers? can I get a step by st
lana66690 [7]

Let x = the smaller number

Let 2x + 7 = the larger number

x + 2x + 7 = 25

3x = 18

x = 6

2x + 7 = 2(6) + 7 = 19

6 0
3 years ago
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